Subgroups — #16770228

Order 3328.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129154	C₂	1	2	yes	maximal, complemented
2	#13129140	C₂	1	2	yes	maximal, complemented
3	#13129131	C₂	1	2	yes	maximal, complemented
4	#13129117	C₂	1	2	yes	maximal, complemented
5	#13129113	C₂	1	1	yes	maximal, characteristic, complemented
6	#13129102	C₂	1	1	yes	maximal, characteristic, complemented
7	#13129089	C₂	1	2	yes	maximal, complemented
8	#13129079	C₂	1	1	yes	maximal, characteristic, complemented
9	#13129069	C₂	1	1	yes	maximal, characteristic, complemented
10	#13129054	C₂	1	2	yes	maximal, complemented
11	#13129035	C₂	1	4	yes	maximal, complemented
12	#13129016	C₂	1	4	yes	maximal, complemented
13	#13129009	C₂	1	2	yes	maximal, complemented
14	#13128997	C₂	1	2	yes	maximal, complemented
15	#13128990	C₂	1	2	yes	maximal, complemented
16	#13128988	C₂	1	2	yes	maximal, complemented
17	#13128974	C₂	1	2	yes	maximal, complemented
18	#13128972	C₂	1	2	yes	maximal, complemented
19	#13128444	C₂	1	2	yes	maximal, complemented
20	#13128438	C₂	1	2	yes	maximal, complemented
21	#13128396	C₂	1	2	yes	maximal, complemented
22	#13128390	C₂	1	2	yes	maximal, complemented
23	#41×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
24	#13128319	C₂	1	2	yes	maximal, complemented
25	#13128250	C₂	1	4	yes	maximal, complemented
26	#13128243	C₂	1	4	yes	maximal, complemented
27	#13128224	C₂	1	2	yes	maximal, complemented
28	#13128165	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11719533	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#525	C₂	1	2	yes	maximal, complemented
31	C₁₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×#41×D₁₃	C₂²	1	2	yes	complemented
35	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#537	C₂²	1	2	yes	complemented
38	C₁₃×#537	C₂²	1	2	yes	complemented
39	C₁₃×#536	C₂²	1	2	yes	complemented
40	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#535	C₂²	1	2	yes	complemented
43	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#534	C₂²	1	2	yes	complemented
46	C₁₃×#534	C₂²	1	2	yes	complemented
47	C₁₃×#532	C₂²	1	2	yes	complemented
48	C₁₃×#532	C₂²	1	2	yes	complemented
49	C₁₃×#525	C₂²	1	2	yes	complemented
50	C₁₃×#525	C₂²	1	2	yes	complemented
51	C₁₃×#525	C₂²	1	2	yes	complemented
52	C₁₃×#525	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
54	#11719539	C₂²	1	2	yes	complemented
55	#11719538	C₂²	1	2	yes	complemented
56	#11719538	C₂²	1	2	yes	complemented
57	#11719537	C₂²	1	2	yes	complemented
58	#11719537	C₂²	1	2	yes	complemented
59	#11719537	C₂²	1	2	yes	complemented
60	#11719537	C₂²	1	4	yes	complemented
61	#11719536	C₂²	1	2	yes	complemented
62	#11719535	C₂²	1	1	yes	characteristic, complemented
63	#11719535	C₂²	1	1	yes	characteristic, complemented
64	#11719534	C₂²	1	4	yes	complemented
65	#11719534	C₂²	1	2	yes	complemented
66	#11719533	C₂²	1	1	yes	characteristic
67	#11719533	C₂²	1	1	yes	characteristic, complemented
68	#11719533	C₂²	1	1	yes	characteristic, complemented
69	#11719533	C₂²	1	2	yes	complemented
70	#11719533	C₂²	1	2	yes	complemented
71	#11719533	C₂²	1	1	yes	characteristic, complemented
72	#11719533	C₂²	1	2	yes	complemented
73	#11719533	C₂²	1	1	yes	characteristic, complemented
74	#11719533	C₂²	1	1	yes	characteristic, complemented
75	#11719533	C₂²	1	2	yes	complemented
76	#11719533	C₂²	1	2	yes	complemented
77	#11719533	C₂²	1	1	yes	characteristic, complemented
78	#11719533	C₂²	1	1	yes	characteristic, complemented
79	#11719533	C₂²	1	2	yes	complemented
80	#11719533	C₂²	1	2	yes	complemented
81	#11719533	C₂²	1	4	yes	complemented
82	#41×Dic₁₃	C₂²	1	2	yes	complemented
83	#11719530	C₂²	1	1	yes	characteristic, complemented
84	#11719530	C₂²	1	1	yes	characteristic, complemented
85	#11719529	C₂²	1	4	yes	complemented
86	#11719529	C₂²	1	2	yes	complemented
87	#11719522	C₂²	1	2	yes	complemented
88	#11719521	C₂²	1	2	yes	complemented
89	Q₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
90	C₂×#88200	C₂²	1	2	yes	complemented
91	#11719511	C₂²	1	2	yes	complemented
92	#11719511	C₂²	1	4	yes	complemented
93	#11719510	C₂²	1	2	yes	complemented
94	#11719509	C₂²	1	2	yes	complemented
95	#11719509	C₂²	1	2	yes	complemented
96	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
97	D₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
98	C₂×#88192	C₂²	1	2	yes	complemented
99	C₂×#88191	C₂²	1	1	yes	characteristic, complemented
100	C₂×#88191	C₂²	1	1	yes	characteristic, complemented
101	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
102	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
103	#11719496	C₂²	1	2	yes	complemented
104	#11719496	C₂²	1	2	yes	complemented
105	#11719496	C₂²	1	4	yes	complemented
106	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
107	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
108	C₂×C₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
109	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
110	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
111	#11719440	C₂²	1	4	yes	complemented
112	#11719438	C₂²	1	4	yes	complemented
113	#11719435	C₂²	1	4	yes	complemented
114	#11719434	C₂²	1	4	yes	complemented
115	#11719425	C₂²	1	2	yes	complemented
116	#11719425	C₂²	1	2	yes	complemented
117	#11719424	C₂²	1	4	yes	complemented
118	#11719422	C₂²	1	2	yes	complemented
119	#11719420	C₂²	1	4	yes	complemented
120	#11719418	C₂²	1	2	yes	complemented
121	#11719389	C₂²	1	4	yes	complemented
122	#11719388	C₂²	1	2	yes	complemented
123	#11719384	C₂²	1	2	yes	complemented
124	#11719384	C₂²	1	4	yes	complemented
125	#11719384	C₂²	1	2	yes	complemented
126	#11719383	C₂²	1	4	yes	complemented
127	#11719383	C₂²	1	4	yes	complemented
128	#11719377	C₂²	1	2	yes	complemented
129	#11719374	C₂²	1	4	yes	complemented
130	#11719374	C₂²	1	4	yes	complemented
131	#11719372	C₂²	1	4	yes	complemented
132	#11719371	C₂²	1	2	yes	complemented
133	#11719370	C₂²	1	4	yes	complemented
134	#11719370	C₂²	1	4	yes	complemented
135	#11719369	C₂²	1	2	yes	complemented
136	#11719366	C₂²	1	4	yes	complemented
137	#11719365	C₂²	1	4	yes	complemented
138	#11719365	C₂²	1	4	yes	complemented
139	#11719364	C₂²	1	2	yes	complemented
140	#11719363	C₂²	1	4	yes	complemented
141	#11719362	C₂²	1	4	yes	complemented
142	#11719362	C₂²	1	4	yes	complemented
143	#11719361	C₂²	1	4	yes	complemented
144	#11719360	C₂²	1	4	yes	complemented
145	#11719359	C₂²	1	4	yes	complemented
146	D₁₃×#123	C₂²	1	4	yes	complemented
147	#11719356	C₂²	1	2	yes	complemented
148	#11719355	C₂²	1	4	yes	complemented
149	#11719352	C₂²	1	4	yes	complemented
150	#11719351	C₂²	1	4	yes	complemented
151	#11719350	C₂²	1	4	yes	complemented
152	#11719348	C₂²	1	2	yes	complemented
153	#11719348	C₂²	1	2	yes	complemented
154	#11719347	C₂²	1	2	yes	complemented
155	#11719346	C₂²	1	2	yes	complemented
156	#11719344	C₂²	1	2	yes	complemented
157	#11719343	C₂²	1	4	yes	complemented
158	#11719343	C₂²	1	4	yes	complemented
159	#11719342	C₂²	1	4	yes	complemented
160	#11719341	C₂²	1	4	yes	complemented
161	#11719340	C₂²	1	2	yes	complemented
162	#11719339	C₂²	1	4	yes	complemented
163	#11719338	C₂²	1	2	yes	complemented
164	#11719337	C₂²	1	2	yes	complemented
165	#11719336	C₂²	1	2	yes	complemented
166	#11719335	C₂²	1	2	yes	complemented
167	#11719332	C₂²	1	2	yes	complemented
168	#11719332	C₂²	1	2	yes	complemented
169	D₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
170	D₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
171	#11719330	C₂²	1	2	yes	complemented
172	#11719330	C₂²	1	2	yes	complemented
173	#11719326	C₂²	1	4	yes	complemented
174	#11719326	C₂²	1	4	yes	complemented
175	#11719326	C₂²	1	4	yes	complemented
176	#11719325	C₂²	1	4	yes	complemented
177	#11719325	C₂²	1	4	yes	complemented
178	#11719325	C₂²	1	4	yes	complemented
179	#11719324	C₂²	1	4	yes	complemented
180	#11719324	C₂²	1	2	yes	complemented
181	#11719324	C₂²	1	2	yes	complemented
182	#11719323	C₂²	1	2	yes	complemented
183	#11719321	C₂²	1	2	yes	complemented
184	#11719320	C₂²	1	4	yes	complemented
185	#11719320	C₂²	1	4	yes	complemented
186	#11719319	C₂²	1	4	yes	complemented
187	#11719319	C₂²	1	4	yes	complemented
188	#11719319	C₂²	1	2	yes	complemented
189	#11719318	C₂²	1	4	yes	complemented
190	#11719318	C₂²	1	4	yes	complemented
191	#11719318	C₂²	1	4	yes	complemented
192	#11719318	C₂²	1	4	yes	complemented
193	#11719317	C₂²	1	4	yes	complemented
194	#11719317	C₂²	1	2	yes	complemented
195	#11719317	C₂²	1	4	yes	complemented
196	#11719316	C₂²	1	2	yes	complemented
197	#11719315	C₂²	1	4	yes	complemented
198	#11719314	C₂²	1	2	yes	complemented
199	#11719313	C₂²	1	4	yes	complemented
200	#11719312	C₂²	1	4	yes	complemented
201	#11719311	C₂²	1	2	yes	complemented
202	#11719311	C₂²	1	2	yes	complemented
203	#11719310	C₂²	1	4	yes	complemented
204	D₁₃×#121	C₂²	1	2	yes	complemented
205	D₁₃×#121	C₂²	1	2	yes	complemented
206	#11719308	C₂²	1	4	yes	complemented
207	#11719308	C₂²	1	2	yes	complemented
208	#11719308	C₂²	1	2	yes	complemented
209	#11719307	C₂²	1	4	yes	complemented
210	#11719306	C₂²	1	4	yes	complemented
211	#11719304	C₂²	1	2	yes	complemented
212	#11719303	C₂²	1	2	yes	complemented
213	#11719300	C₂²	1	4	yes	complemented
214	#11719300	C₂²	1	2	yes	complemented
215	#11719299	C₂²	1	2	yes	complemented
216	#11719298	C₂²	1	4	yes	complemented
217	#11719298	C₂²	1	4	yes	complemented
218	#11719298	C₂²	1	4	yes	complemented
219	#11719298	C₂²	1	4	yes	complemented
220	#11719296	C₂²	1	4	yes	complemented
221	#11719296	C₂²	1	4	yes	complemented
222	#11719296	C₂²	1	4	yes	complemented
223	#11719295	C₂²	1	2	yes	complemented
224	#11719295	C₂²	1	4	yes	complemented
225	#11719294	C₂²	1	4	yes	complemented
226	#11719294	C₂²	1	4	yes	complemented
227	D₁₃×#120	C₂²	1	4	yes	complemented
228	#11719292	C₂²	1	4	yes	complemented
229	#11719292	C₂²	1	2	yes	complemented
230	#11719291	C₂²	1	4	yes	complemented
231	#11719262	C₂²	1	4	yes	complemented
232	#11719262	C₂²	1	4	yes	complemented
233	#11719262	C₂²	1	4	yes	complemented
234	#11719253	C₂²	1	4	yes	complemented
235	#11719252	C₂²	1	4	yes	complemented
236	#11719252	C₂²	1	4	yes	complemented
237	#11719252	C₂²	1	4	yes	complemented
238	#11719252	C₂²	1	4	yes	complemented
239	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
240	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
241	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
242	#11719243	C₂²	1	4	yes	complemented
243	#11719243	C₂²	1	4	yes	complemented
244	#11719243	C₂²	1	4	yes	complemented
245	#11719243	C₂²	1	4	yes	complemented
246	C₄×#6129	C₂²	1	4	yes	complemented
247	#11719238	C₂²	1	2	yes	complemented
248	#11719237	C₂²	1	2	yes	complemented
249	#11719236	C₂²	1	4	yes	complemented
250	#11719235	C₂²	1	2	yes	complemented
251	#11719234	C₂²	1	2	yes	complemented
252	#11719233	C₂²	1	4	yes	complemented
253	#11719233	C₂²	1	4	yes	complemented
254	#11719232	C₂²	1	4	yes	complemented
255	#11719229	C₂²	1	2	yes	complemented
256	#11719227	C₂²	1	2	yes	complemented
257	D₁₃×#117	C₂²	1	2	yes	complemented
258	#11719222	C₂²	1	2	yes	complemented
259	#11719219	C₂²	1	2	yes	complemented
260	#11719218	C₂²	1	2	yes	complemented
261	#11719216	C₂²	1	2	yes	complemented
262	#11719212	C₂²	1	2	yes	complemented
263	#11719200	C₂²	1	4	yes	complemented
264	#11719195	C₂²	1	4	yes	complemented
265	#11719184	C₂²	1	4	yes	complemented
266	C₄×#6127	C₂²	1	4	yes	complemented
267	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×#41	—	4	4	no	—
269	C₂×C₁₃×#41	—	4	4	no	—
270	C₂×C₁₃×#41	C₂³	1	2	yes	—
271	C₂×C₁₃×#41	C₂³	1	2	yes	—
272	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
281	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
282	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
283	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
284	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
288	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
289	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
290	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
291	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
292	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
293	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
294	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
295	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
296	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
297	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
298	#41×D₁₃	—	4	8	no	—
299	C₂×#6131	C₂³	1	2	yes	—
300	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
301	C₂×#6129	C₂³	1	4	yes	—
302	C₂×#6129	C₂³	1	4	yes	—
303	C₂×#6129	C₂³	1	2	yes	—
304	C₂×D₄×D₁₃	C₂³	1	4	yes	—
305	C₂×D₄×D₁₃	C₂³	1	4	yes	—
306	C₂×D₄×D₁₃	C₂³	1	4	yes	—
307	C₂×D₄×D₁₃	C₂³	1	4	yes	—
308	C₂×D₄×D₁₃	C₂³	1	2	yes	—
309	C₂×#6127	—	4	4	no	—
310	C₂×#6127	C₂³	1	2	yes	—
311	C₂×#6127	C₂³	1	4	yes	—
312	C₂×#6127	C₂³	1	4	yes	—
313	C₂×#6127	C₂³	1	2	yes	—
314	C₂×#6127	C₂³	1	2	yes	complemented
315	C₂×#6127	C₂³	1	2	yes	complemented
316	C₂²×D₅₂	C₂³	1	1	yes	characteristic, complemented
317	C₂²×C₄×D₁₃	—	4	4	no	—
318	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
319	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
320	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
321	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
322	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
323	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
324	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
325	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
326	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
327	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
328	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
329	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
330	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
331	C₁₃×#127	C₂³	1	2	yes	—
332	C₁₃×#127	C₂³	1	2	yes	—
333	C₁₃×#124	C₂³	1	2	yes	—
334	C₁₃×#124	C₂³	1	2	yes	—
335	C₁₃×#124	C₂³	1	2	yes	complemented
336	C₁₃×#124	C₂³	1	2	yes	complemented
337	C₁₃×#123	C₂³	1	4	yes	—
338	C₁₃×#123	C₂³	1	2	yes	—
339	C₁₃×#123	C₂³	1	4	yes	—
340	C₁₃×#123	C₂³	1	2	yes	—
341	C₁₃×#123	C₂³	1	2	yes	complemented
342	C₁₃×#123	C₂³	1	2	yes	complemented
343	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
346	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
347	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
348	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
349	C₁₃×#121	C₂³	1	4	yes	—
350	C₁₃×#121	C₂³	1	4	yes	—
351	C₁₃×#121	C₂³	1	2	yes	—
352	C₁₃×#121	C₂³	1	2	yes	—
353	C₁₃×#121	C₂³	1	4	yes	—
354	C₁₃×#121	C₂³	1	4	yes	—
355	C₁₃×#121	C₂³	1	2	yes	complemented
356	C₁₃×#121	C₂³	1	2	yes	complemented
357	C₁₃×#121	C₂³	1	4	yes	complemented
358	C₁₃×#121	C₂³	1	4	yes	complemented
359	C₁₃×#120	C₂³	1	4	yes	—
360	C₁₃×#120	C₂³	1	4	yes	—
361	C₁₃×#120	C₂³	1	2	yes	—
362	C₁₃×#120	C₂³	1	2	yes	—
363	C₁₃×#120	C₂³	1	2	yes	complemented
364	C₁₃×#120	C₂³	1	2	yes	complemented
365	C₄×D₄×C₁₃	C₂³	1	4	yes	—
366	C₄×D₄×C₁₃	C₂³	1	4	yes	—
367	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
368	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
369	C₁₃×#117	C₂³	1	2	yes	—
370	C₁₃×#117	C₂³	1	2	yes	—
371	C₁₃×#117	C₂³	1	2	yes	complemented
372	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
373	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
374	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
375	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
376	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
377	#88207	C₂³	1	4	yes	—
378	#88207	C₂³	1	4	yes	—
379	#88207	C₂³	1	4	yes	—
380	#88207	C₂³	1	4	yes	complemented
381	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
382	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
383	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
384	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
385	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
386	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
387	#88201	C₂³	1	4	yes	—
388	#88201	C₂³	1	2	yes	complemented
389	#88201	C₂³	1	2	yes	complemented
390	#88201	C₂³	1	2	yes	complemented
391	#88200	C₂³	1	2	yes	—
392	#88200	C₂³	1	4	yes	—
393	#88200	C₂³	1	2	yes	—
394	#88200	C₂³	1	2	yes	—
395	#88200	C₂³	1	2	yes	—
396	#88200	C₂³	1	2	yes	—
397	#88200	C₂³	1	2	yes	—
398	#88200	C₂³	1	2	yes	—
399	#88200	C₂³	1	2	yes	—
400	#88200	C₂³	1	2	yes	—
401	#88200	C₂³	1	2	yes	—
402	#88200	C₂³	1	4	yes	complemented
403	#88200	C₂³	1	4	yes	complemented
404	#88200	C₂³	1	4	yes	complemented
405	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
406	Q₈×Dic₁₃	C₂³	1	2	yes	complemented
407	#88198	C₂³	1	2	yes	complemented
408	#88198	C₂³	1	4	yes	complemented
409	#88198	C₂³	1	2	yes	complemented
410	#88198	C₂³	1	2	yes	complemented
411	#88194	C₂³	1	4	yes	—
412	#88194	C₂³	1	4	yes	—
413	#88194	C₂³	1	2	yes	—
414	#88194	C₂³	1	2	yes	—
415	#88194	C₂³	1	2	yes	complemented
416	#88193	C₂³	1	4	yes	—
417	#88193	C₂³	1	4	yes	—
418	#88193	C₂³	1	4	yes	—
419	#88193	C₂³	1	4	yes	—
420	#88193	C₂³	1	4	yes	—
421	#88193	C₂³	1	4	yes	—
422	#88193	C₂³	1	4	yes	—
423	#88193	C₂³	1	4	yes	—
424	#88193	C₂³	1	4	yes	—
425	#88193	C₂³	1	4	yes	—
426	#88193	C₂³	1	4	yes	—
427	#88193	C₂³	1	4	yes	—
428	#88193	C₂³	1	4	yes	—
429	#88193	C₂³	1	4	yes	complemented
430	#88193	C₂³	1	4	yes	complemented
431	#88193	C₂³	1	4	yes	complemented
432	#88193	C₂³	1	4	yes	complemented
433	#88193	C₂³	1	4	yes	complemented
434	#88192	C₂³	1	4	yes	—
435	#88192	C₂³	1	2	yes	—
436	#88192	C₂³	1	2	yes	—
437	#88192	C₂³	1	2	yes	—
438	#88192	C₂³	1	2	yes	—
439	#88192	C₂³	1	2	yes	—
440	#88192	C₂³	1	2	yes	—
441	#88192	C₂³	1	2	yes	—
442	#88192	C₂³	1	2	yes	—
443	#88192	C₂³	1	2	yes	—
444	#88192	C₂³	1	4	yes	—
445	#88192	C₂³	1	4	yes	—
446	#88192	C₂³	1	4	yes	—
447	#88192	C₂³	1	2	yes	—
448	#88192	C₂³	1	4	yes	—
449	#88192	C₂³	1	4	yes	—
450	#88192	C₂³	1	4	yes	complemented
451	#88192	C₂³	1	4	yes	complemented
452	#88191	C₂³	1	1	yes	characteristic
453	#88191	C₂³	1	4	yes	—
454	#88191	C₂³	1	2	yes	—
455	#88191	C₂³	1	1	yes	characteristic
456	#88191	C₂³	1	1	yes	characteristic
457	#88191	C₂³	1	2	yes	—
458	#88191	C₂³	1	1	yes	characteristic
459	#88191	C₂³	1	2	yes	—
460	#88191	C₂³	1	2	yes	—
461	#88191	C₂³	1	1	yes	characteristic
462	#88191	C₂³	1	1	yes	characteristic
463	#88191	C₂³	1	1	yes	characteristic
464	#88191	C₂³	1	1	yes	characteristic
465	#88191	C₂³	1	2	yes	—
466	#88191	C₂³	1	4	yes	—
467	#88191	C₂³	1	4	yes	—
468	#88191	C₂³	1	4	yes	—
469	#88191	C₂³	1	4	yes	—
470	#88191	C₂³	1	4	yes	—
471	#88191	C₂³	1	2	yes	—
472	#88191	C₂³	1	4	yes	complemented
473	#88191	C₂³	1	2	yes	complemented
474	#88191	C₂³	1	2	yes	complemented
475	#88190	C₂³	1	2	yes	—
476	#88190	C₂³	1	2	yes	—
477	#88190	C₂³	1	4	yes	—
478	#88190	C₂³	1	4	yes	—
479	#88190	C₂³	1	2	yes	complemented
480	#88190	C₂³	1	4	yes	complemented
481	#88190	C₂³	1	4	yes	complemented
482	#88189	C₂³	1	2	yes	—
483	#88189	C₂³	1	4	yes	—
484	#88189	C₂³	1	1	yes	characteristic
485	#88189	C₂³	1	4	yes	—
486	#88189	C₂³	1	2	yes	—
487	#88189	C₂³	1	1	yes	characteristic
488	#88189	C₂³	1	1	yes	characteristic
489	#88189	C₂³	1	2	yes	—
490	#88189	C₂³	1	1	yes	characteristic
491	#88189	C₂³	1	2	yes	—
492	#88189	C₂³	1	2	yes	—
493	#88189	C₂³	1	1	yes	characteristic
494	#88189	C₂³	1	1	yes	characteristic
495	#88189	C₂³	1	1	yes	characteristic
496	#88189	C₂³	1	1	yes	characteristic
497	#88189	C₂³	1	2	yes	—
498	#88189	C₂³	1	4	yes	—
499	#88189	C₂³	1	4	yes	complemented
500	#88189	C₂³	1	4	yes	complemented
501	#88189	C₂³	1	4	yes	complemented
502	#88189	C₂³	1	2	yes	complemented
503	#88189	C₂³	1	2	yes	complemented
504	#88189	C₂³	1	4	yes	complemented
505	D₄×Dic₁₃	C₂³	1	4	yes	—
506	D₄×Dic₁₃	C₂³	1	4	yes	—
507	D₄×Dic₁₃	C₂³	1	4	yes	—
508	D₄×Dic₁₃	C₂³	1	4	yes	—
509	D₄×Dic₁₃	C₂³	1	4	yes	complemented
510	D₄×Dic₁₃	C₂³	1	4	yes	complemented
511	D₄×Dic₁₃	C₂³	1	2	yes	complemented
512	D₄×Dic₁₃	C₂³	1	2	yes	complemented
513	#88184	C₂³	1	4	yes	—
514	#88184	C₂³	1	4	yes	—
515	#88184	C₂³	1	4	yes	—
516	#88184	C₂³	1	2	yes	—
517	#88184	C₂³	1	2	yes	—
518	#88184	C₂³	1	2	yes	complemented
519	#88184	C₂³	1	2	yes	complemented
520	#88183	C₂³	1	4	yes	—
521	#88183	C₂³	1	4	yes	—
522	#88183	C₂³	1	4	yes	—
523	#88183	C₂³	1	4	yes	—
524	#88183	C₂³	1	4	yes	complemented
525	#88183	C₂³	1	4	yes	complemented
526	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
527	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
528	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
529	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
530	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
531	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
532	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
533	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
534	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
535	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
536	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
537	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
538	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
539	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
540	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
541	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
542	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
543	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
544	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
545	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
546	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
547	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
548	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
549	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
550	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
551	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
552	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
553	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
554	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
555	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
556	C₂×#6103	C₂³	1	2	yes	—
557	C₂×#6103	C₂³	1	2	yes	—
558	C₂×#6103	C₂³	1	4	yes	—
559	#88180	C₂³	1	2	yes	—
560	#88180	C₂³	1	1	yes	characteristic
561	#88180	C₂³	1	2	yes	—
562	#88180	C₂³	1	2	yes	—
563	#88180	C₂³	1	1	yes	characteristic
564	#88180	C₂³	1	1	yes	characteristic
565	#88180	C₂³	1	1	yes	characteristic
566	#88180	C₂³	1	2	yes	—
567	#88180	C₂³	1	4	yes	complemented
568	#88180	C₂³	1	2	yes	complemented
569	#88180	C₂³	1	1	yes	characteristic, complemented
570	#88180	C₂³	1	1	yes	characteristic, complemented
571	#88180	C₂³	1	4	yes	complemented
572	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
573	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
574	#88178	C₂³	1	2	yes	—
575	#88178	C₂³	1	2	yes	—
576	#88178	C₂³	1	4	yes	complemented
577	#88178	C₂³	1	2	yes	complemented
578	#88178	C₂³	1	2	yes	complemented
579	#88178	C₂³	1	4	yes	complemented
580	#88178	C₂³	1	4	yes	complemented
581	C₂×#6101	C₂³	1	2	yes	—
582	C₂×#6101	C₂³	1	2	yes	—
583	C₂×#6101	C₂³	1	4	yes	complemented
584	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
585	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
586	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
587	#88152	C₂³	1	4	yes	—
588	#88152	C₂³	1	4	yes	—
589	#88152	C₂³	1	4	yes	—
590	#88152	C₂³	1	4	yes	complemented
591	#88152	C₂³	1	4	yes	complemented
592	#88152	C₂³	1	4	yes	complemented
593	#88151	C₂³	1	4	yes	—
594	#88151	C₂³	1	2	yes	—
595	#88151	C₂³	1	2	yes	—
596	#88151	C₂³	1	4	yes	complemented
597	#88151	C₂³	1	4	yes	complemented
598	#88150	C₂³	1	4	yes	—
599	#88150	C₂³	1	4	yes	—
600	#88150	C₂³	1	4	yes	—
601	#88150	C₂³	1	4	yes	—
602	#88150	C₂³	1	4	yes	complemented
603	#88150	C₂³	1	4	yes	complemented
604	#88149	C₂³	1	4	yes	—
605	#88149	C₂³	1	2	yes	—
606	#88149	C₂³	1	2	yes	—
607	#88148	C₂³	1	4	yes	—
608	#88148	C₂³	1	4	yes	—
609	#88148	C₂³	1	4	yes	—
610	#88148	C₂³	1	4	yes	—
611	#88148	C₂³	1	4	yes	—
612	#88148	C₂³	1	4	yes	complemented
613	#88147	C₂³	1	4	yes	—
614	#88147	C₂³	1	4	yes	—
615	#88147	C₂³	1	4	yes	—
616	#88147	C₂³	1	2	yes	complemented
617	#88147	C₂³	1	2	yes	complemented
618	#88146	C₂³	1	4	yes	—
619	#88146	C₂³	1	2	yes	—
620	#88146	C₂³	1	2	yes	—
621	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
622	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
623	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
624	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
625	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
626	#88144	C₂³	1	4	yes	complemented
627	#88144	C₂³	1	4	yes	complemented
628	#88144	C₂³	1	4	yes	complemented
629	#88144	C₂³	1	2	yes	complemented
630	#88144	C₂³	1	2	yes	complemented
631	#88143	C₂³	1	4	yes	complemented
632	#88143	C₂³	1	4	yes	complemented
633	#88143	C₂³	1	4	yes	complemented
634	#88143	C₂³	1	4	yes	complemented
635	#88143	C₂³	1	4	yes	complemented
636	#88143	C₂³	1	4	yes	complemented
637	#88142	C₂³	1	4	yes	complemented
638	#88142	C₂³	1	2	yes	complemented
639	#88142	C₂³	1	2	yes	complemented
640	#88141	C₂³	1	4	yes	complemented
641	#88141	C₂³	1	2	yes	complemented
642	#88141	C₂³	1	2	yes	complemented
643	#88140	C₂³	1	4	yes	—
644	#88140	C₂³	1	4	yes	—
645	#88140	C₂³	1	4	yes	—
646	#88140	C₂³	1	4	yes	complemented
647	#88140	C₂³	1	4	yes	complemented
648	#88139	C₂³	1	4	yes	—
649	#88139	C₂³	1	4	yes	—
650	#88139	C₂³	1	4	yes	—
651	#88139	C₂³	1	4	yes	—
652	#88139	C₂³	1	4	yes	—
653	#88139	C₂³	1	4	yes	—
654	#88139	C₂³	1	4	yes	complemented
655	#88139	C₂³	1	4	yes	complemented
656	#88138	C₂³	1	4	yes	—
657	#88138	C₂³	1	4	yes	—
658	#88138	C₂³	1	4	yes	—
659	#88138	C₂³	1	4	yes	—
660	#88138	C₂³	1	4	yes	—
661	#88138	C₂³	1	4	yes	—
662	#88138	C₂³	1	4	yes	—
663	#88138	C₂³	1	4	yes	complemented
664	#88137	C₂³	1	4	yes	—
665	#88137	C₂³	1	4	yes	—
666	#88137	C₂³	1	4	yes	—
667	#88137	C₂³	1	4	yes	—
668	#88137	C₂³	1	4	yes	—
669	#88137	C₂³	1	4	yes	—
670	#88137	C₂³	1	4	yes	—
671	#88137	C₂³	1	4	yes	complemented
672	#88137	C₂³	1	4	yes	complemented
673	#88137	C₂³	1	4	yes	complemented
674	#88137	C₂³	1	4	yes	complemented
675	#88137	C₂³	1	4	yes	complemented
676	#88136	C₂³	1	4	yes	—
677	#88136	C₂³	1	4	yes	—
678	#88136	C₂³	1	4	yes	—
679	#88136	C₂³	1	4	yes	—
680	#88136	C₂³	1	4	yes	—
681	#88135	C₂³	1	4	yes	—
682	#88135	C₂³	1	4	yes	—
683	#88135	C₂³	1	4	yes	—
684	#88135	C₂³	1	4	yes	—
685	#88135	C₂³	1	4	yes	—
686	#88135	C₂³	1	4	yes	—
687	#88135	C₂³	1	4	yes	—
688	#88135	C₂³	1	4	yes	—
689	#88135	C₂³	1	4	yes	—
690	#88135	C₂³	1	4	yes	complemented
691	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
692	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
693	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
694	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
695	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
696	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	—
697	C₂²⋊C₄×D₁₃	C₂³	1	4	yes	complemented
698	#88133	C₂³	1	4	yes	—
699	#88133	C₂³	1	4	yes	—
700	#88133	C₂³	1	4	yes	—
701	#88133	C₂³	1	4	yes	—
702	#88133	C₂³	1	4	yes	complemented
703	#88133	C₂³	1	4	yes	complemented
704	#88133	C₂³	1	4	yes	complemented
705	#88133	C₂³	1	4	yes	complemented
706	#88133	C₂³	1	4	yes	complemented
707	#88133	C₂³	1	4	yes	complemented
708	#88133	C₂³	1	4	yes	complemented
709	#88133	C₂³	1	4	yes	complemented
710	#88132	C₂³	1	4	yes	—
711	#88132	C₂³	1	4	yes	—
712	#88132	C₂³	1	4	yes	—
713	#88132	C₂³	1	4	yes	—
714	#88132	C₂³	1	4	yes	complemented
715	#88132	C₂³	1	4	yes	complemented
716	#88132	C₂³	1	4	yes	complemented
717	#88132	C₂³	1	4	yes	complemented
718	#88132	C₂³	1	4	yes	complemented
719	#88132	C₂³	1	4	yes	complemented
720	#88131	C₂³	1	4	yes	—
721	#88131	C₂³	1	4	yes	complemented
722	#88131	C₂³	1	4	yes	complemented
723	#88130	C₂³	1	4	yes	—
724	#88130	C₂³	1	4	yes	complemented
725	#88129	C₂³	1	4	yes	—
726	C₄×D₅₂	C₂³	1	4	yes	—
727	C₄×D₅₂	C₂³	1	4	yes	—
728	C₄×D₅₂	C₂³	1	4	yes	—
729	#88126	C₂³	1	4	yes	—
730	#88126	C₂³	1	4	yes	—
731	#88126	C₂³	1	4	yes	complemented
732	#88126	C₂³	1	4	yes	complemented
733	C₄²×D₁₃	C₂³	1	4	yes	—
734	C₄²×D₁₃	C₂³	1	4	yes	complemented
735	#88124	C₂³	1	4	yes	complemented
736	C₄×Dic₂₆	C₂³	1	4	yes	complemented
737	C₄×Dic₂₆	C₂³	1	4	yes	complemented
738	C₄×Dic₂₆	C₂³	1	4	yes	complemented
739	#62729	—	13	1	no	maximal, Sylow
740	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
741	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
742	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
743	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
744	C₂³×D₁₃	—	4	4	no	—
745	C₂³×D₁₃	—	4	2	no	—
746	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
747	C₂³×D₁₃	C₂⁴	1	2	yes	—
748	C₂³×D₁₃	C₂⁴	1	4	yes	—
749	C₂³×D₁₃	C₂⁴	1	2	yes	—
750	C₂³×D₁₃	C₂⁴	1	2	yes	—
751	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
752	C₁₃×#41	—	2	8	no	—
753	C₁₃×#41	—	4	2	no	—
754	C₁₃×#41	—	4	2	no	—
755	C₁₃×#41	—	4	2	no	—
756	C₁₃×#41	—	4	2	no	—
757	C₁₃×#41	—	4	2	no	—
758	C₁₃×#41	—	4	2	no	—
759	C₁₃×#41	—	4	2	no	—
760	C₁₃×#41	—	4	2	no	—
761	C₁₃×#41	—	4	4	no	—
762	C₁₃×#41	—	4	4	no	—
763	C₁₃×#41	—	4	4	no	—
764	C₂×Q₈×C₁₃	—	4	2	no	—
765	C₂×Q₈×C₁₃	—	4	2	no	—
766	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
767	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
768	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
769	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
770	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
771	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
772	C₂×D₄×C₁₃	—	4	2	no	—
773	C₂×D₄×C₁₃	—	4	2	no	—
774	C₂×D₄×C₁₃	—	4	2	no	—
775	C₂×D₄×C₁₃	—	4	2	no	—
776	C₂×D₄×C₁₃	—	4	4	no	—
777	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
778	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
779	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
780	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
781	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
782	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
783	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
784	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
785	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
786	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
787	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
788	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
789	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
790	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
791	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
792	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
793	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
794	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
795	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
796	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
797	C₂²×C₄×C₁₃	—	2	4	no	—
798	C₂²×C₄×C₁₃	—	2	4	no	—
799	C₂²×C₄×C₁₃	—	2	4	no	—
800	C₂²×C₄×C₁₃	—	4	4	no	—
801	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
802	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
803	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
804	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
805	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
806	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
807	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
808	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
809	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
810	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
811	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
813	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
814	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
815	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
817	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
818	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
819	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
820	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
821	C₂×C₂²⋊D₁₃	—	4	4	no	—
822	C₂×C₂²⋊D₁₃	—	4	4	no	—
823	C₂×C₂²⋊D₁₃	—	4	8	no	—
824	C₂×C₂²⋊D₁₃	—	4	4	no	—
825	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
827	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
831	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
836	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
842	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊D₁₃	C₂⁴	1	2	yes	—
844	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
845	C₂²×Dic₁₃	—	4	2	no	—
846	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
847	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
848	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
849	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
850	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
851	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
852	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
853	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
854	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
855	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
856	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
857	#6131	—	4	4	no	—
858	Q₈×D₁₃	—	4	4	no	—
859	#6129	—	4	4	no	—
860	#6129	—	4	8	no	—
861	#6129	—	4	8	no	—
862	D₄×D₁₃	—	4	4	no	—
863	D₄×D₁₃	—	4	8	no	—
864	D₄×D₁₃	—	4	8	no	—
865	D₄×D₁₃	—	4	8	no	—
866	D₄×D₁₃	—	4	8	no	—
867	#6127	—	2	8	no	—
868	#6127	—	4	4	no	—
869	#6127	—	4	4	no	—
870	#6127	—	4	8	no	—
871	#6127	—	4	8	no	—
872	#6127	—	4	4	no	—
873	C₂×D₅₂	—	4	2	no	—
874	C₂×D₅₂	C₂⁴	1	4	yes	—
875	C₂×D₅₂	C₂⁴	1	2	yes	—
876	C₂×D₅₂	C₂⁴	1	4	yes	—
877	C₂×D₅₂	C₂⁴	1	4	yes	—
878	C₂×D₅₂	C₂⁴	1	2	yes	—
879	C₂×C₄×D₁₃	—	2	8	no	—
880	C₂×C₄×D₁₃	—	4	2	no	—
881	C₂×C₄×D₁₃	—	4	4	no	—
882	C₂×C₄×D₁₃	—	4	2	no	—
883	C₂×C₄×D₁₃	—	4	2	no	—
884	C₂×C₄×D₁₃	—	4	4	no	—
885	C₂×C₄×D₁₃	—	4	2	no	—
886	C₂×C₄×D₁₃	—	4	8	no	—
887	C₂×C₄×D₁₃	—	4	4	no	—
888	C₂×C₄×D₁₃	—	4	4	no	—
889	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
890	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
891	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
892	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
893	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
894	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
895	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
896	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
897	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
898	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
899	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
900	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
901	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
902	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
903	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
904	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
905	C₂×Dic₂₆	—	4	2	no	—
906	C₂×Dic₂₆	C₂⁴	1	2	yes	—
907	C₂×Dic₂₆	C₂⁴	1	4	yes	—
908	C₂×Dic₂₆	C₂⁴	1	4	yes	—
909	C₂×Dic₂₆	C₂⁴	1	4	yes	—
910	C₂×Dic₂₆	C₂⁴	1	2	yes	—
911	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
912	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
913	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
914	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
915	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
916	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
917	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
918	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
921	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
922	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
923	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
924	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
925	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
926	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
927	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
928	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
929	C₄²×C₁₃	C₂⁴	1	4	yes	—
930	C₄²×C₁₃	C₂⁴	1	2	yes	—
931	C₄²×C₁₃	C₂⁴	1	2	yes	—
932	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
933	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
934	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
935	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
936	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
937	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
938	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
939	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
940	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
941	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
942	C₂²⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
943	C₂²⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
944	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
945	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
946	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
947	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
948	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
949	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
950	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
951	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
952	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
953	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
954	C₂²⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
955	C₂²⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
956	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
957	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
958	C₂²⋊Dic₁₃	C₂⁴	1	2	yes	—
959	#6103	C₂⁴	1	2	yes	—
960	#6103	C₂⁴	1	4	yes	—
961	#6103	C₂⁴	1	4	yes	—
962	#6103	C₂⁴	1	4	yes	—
963	#6103	C₂⁴	1	4	yes	—
964	#6103	C₂⁴	1	4	yes	—
965	#6103	C₂⁴	1	4	yes	—
966	#6103	C₂⁴	1	4	yes	—
967	#6103	C₂⁴	1	4	yes	—
968	#6103	C₂⁴	1	4	yes	—
969	#6103	C₂⁴	1	2	yes	—
970	#6103	C₂⁴	1	2	yes	—
971	#6103	C₂⁴	1	4	yes	—
972	#6103	C₂⁴	1	4	yes	—
973	#6103	C₂⁴	1	4	yes	—
974	#6103	C₂⁴	1	4	yes	—
975	#6103	C₂⁴	1	4	yes	—
976	#6103	C₂⁴	1	2	yes	—
977	#6103	C₂⁴	1	4	yes	—
978	#6103	C₂⁴	1	2	yes	—
979	#6103	C₂⁴	1	2	yes	—
980	#6103	C₂⁴	1	2	yes	—
981	#6103	C₂⁴	1	4	yes	—
982	#6103	C₂⁴	1	2	yes	—
983	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
984	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
985	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
986	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
987	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
988	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
989	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
990	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
991	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
992	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
993	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
994	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
995	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
996	#6101	C₂⁴	1	2	yes	—
997	#6101	C₂⁴	1	4	yes	—
998	#6101	C₂⁴	1	4	yes	—
999	#6101	C₂⁴	1	4	yes	—
1000	#6101	C₂⁴	1	4	yes	—
1001	#6101	C₂⁴	1	4	yes	—
1002	#6101	C₂⁴	1	2	yes	—
1003	#6101	C₂⁴	1	4	yes	—
1004	#6101	C₂⁴	1	4	yes	—
1005	#6101	C₂⁴	1	4	yes	—
1006	#6101	C₂⁴	1	4	yes	—
1007	#6101	C₂⁴	1	2	yes	—
1008	#6101	C₂⁴	1	4	yes	—
1009	#6101	C₂⁴	1	4	yes	—
1010	#6101	C₂⁴	1	2	yes	—
1011	#6101	C₂⁴	1	4	yes	—
1012	#6101	C₂⁴	1	4	yes	—
1013	#6101	C₂⁴	1	4	yes	—
1014	#6101	C₂⁴	1	4	yes	—
1015	#6101	C₂⁴	1	2	yes	—
1016	#6101	C₂⁴	1	2	yes	—
1017	#6101	C₂⁴	1	4	yes	—
1018	#6101	C₂⁴	1	2	yes	—
1019	#6101	C₂⁴	1	2	yes	—
1020	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1021	C₄×Dic₁₃	C₂⁴	1	2	yes	—
1022	C₄×Dic₁₃	C₂⁴	1	2	yes	—
1023	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1024	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1025	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1026	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1027	C₄×Dic₁₃	C₂⁴	1	2	yes	—
1028	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1029	C₄×Dic₁₃	C₂⁴	1	4	yes	—
1030	C₄×Dic₁₃	C₂⁴	1	2	yes	—
1031	C₄×Dic₁₃	C₂⁴	1	2	yes	—
1032	C₄×Dic₁₃	C₂⁴	1	2	yes	—
1033	#3542	—	13	2	no	—
1034	#3542	—	13	2	no	—
1035	#3541	—	13	2	no	—
1036	#3541	—	13	2	no	—
1037	#3540	—	13	1	no	—
1038	#3540	—	13	1	no	—
1039	#3539	—	13	2	no	—
1040	#3538	—	13	1	no	—
1041	#3537	—	13	1	no	—
1042	#3536	—	13	2	no	—
1043	#3535	—	13	4	no	—
1044	#3534	—	13	4	no	—
1045	#3533	—	13	2	no	—
1046	#3533	—	13	2	no	—
1047	#3532	—	13	2	no	—
1048	#3532	—	13	2	no	—
1049	#3529	—	13	2	no	—
1050	#3529	—	13	2	no	—
1051	#3481	—	13	2	no	—
1052	#3481	—	13	2	no	—
1053	#3475	—	13	2	no	—
1054	#3475	—	13	2	no	—
1055	D₄×#41	—	13	2	no	—
1056	D₄×#41	—	13	2	no	—
1057	#3460	—	13	4	no	—
1058	#3459	—	13	4	no	—
1059	#3455	—	13	2	no	—
1060	#3449	—	13	1	no	—
1061	#3449	D₁₃	1	1	yes	characteristic, complemented
1062	C₂×#525	—	13	1	no	—
1063	C₂×#525	—	13	2	no	—
1064	C₂³×C₁₃	—	2	2	no	—
1065	C₂³×C₁₃	—	2	2	no	—
1066	C₂³×C₁₃	—	2	2	no	—
1067	C₂³×C₁₃	—	4	2	no	—
1068	C₂³×C₁₃	—	4	2	no	—
1069	C₂³×C₁₃	—	4	2	no	—
1070	C₂³×C₁₃	—	4	4	no	—
1071	C₂³×C₁₃	—	4	2	no	—
1072	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1073	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1074	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1075	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1076	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1077	C₂³×C₁₃	C₂⁵	1	4	yes	—
1078	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1079	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
1080	C₂²×D₁₃	—	2	4	no	—
1081	C₂²×D₁₃	—	2	4	no	—
1082	C₂²×D₁₃	—	2	4	no	—
1083	C₂²×D₁₃	—	2	4	no	—
1084	C₂²×D₁₃	—	2	8	no	—
1085	C₂²×D₁₃	—	4	1	no	—
1086	C₂²×D₁₃	—	4	2	no	—
1087	C₂²×D₁₃	—	4	1	no	—
1088	C₂²×D₁₃	—	4	2	no	—
1089	C₂²×D₁₃	—	4	2	no	—
1090	C₂²×D₁₃	—	4	2	no	—
1091	C₂²×D₁₃	—	4	2	no	—
1092	C₂²×D₁₃	—	4	4	no	—
1093	C₂²×D₁₃	—	4	4	no	—
1094	C₂²×D₁₃	—	4	4	no	—
1095	C₂²×D₁₃	—	4	16	no	—
1096	C₂²×D₁₃	C₂⁵	1	2	yes	—
1097	C₂²×D₁₃	C₂⁵	1	4	yes	—
1098	C₂²×D₁₃	C₂⁵	1	2	yes	—
1099	Q₈×C₁₃	—	2	4	no	—
1100	Q₈×C₁₃	—	4	1	no	—
1101	Q₈×C₁₃	—	4	1	no	—
1102	Q₈×C₁₃	—	4	2	no	—
1103	Q₈×C₁₃	—	4	1	no	—
1104	Q₈×C₁₃	—	4	1	no	—
1105	D₄×C₁₃	—	2	8	no	—
1106	D₄×C₁₃	—	2	4	no	—
1107	D₄×C₁₃	—	4	4	no	—
1108	D₄×C₁₃	—	4	4	no	—
1109	D₄×C₁₃	—	4	4	no	—
1110	D₄×C₁₃	—	4	4	no	—
1111	D₄×C₁₃	—	4	1	no	—
1112	D₄×C₁₃	—	4	1	no	—
1113	D₄×C₁₃	—	4	4	no	—
1114	D₄×C₁₃	—	4	1	no	—
1115	D₄×C₁₃	—	4	1	no	—
1116	D₄×C₁₃	—	4	1	no	—
1117	D₄×C₁₃	—	4	1	no	—
1118	D₄×C₁₃	—	4	1	no	—
1119	D₄×C₁₃	—	4	1	no	—
1120	D₄×C₁₃	—	4	1	no	—
1121	D₄×C₁₃	—	4	1	no	—
1122	D₄×C₁₃	—	4	1	no	—
1123	D₄×C₁₃	—	4	1	no	—
1124	D₄×C₁₃	—	4	2	no	—
1125	C₂×C₄×C₁₃	—	2	2	no	—
1126	C₂×C₄×C₁₃	—	2	2	no	—
1127	C₂×C₄×C₁₃	—	2	2	no	—
1128	C₂×C₄×C₁₃	—	2	2	no	—
1129	C₂×C₄×C₁₃	—	2	2	no	—
1130	C₂×C₄×C₁₃	—	2	2	no	—
1131	C₂×C₄×C₁₃	—	2	2	no	—
1132	C₂×C₄×C₁₃	—	2	2	no	—
1133	C₂×C₄×C₁₃	—	2	2	no	—
1134	C₂×C₄×C₁₃	—	2	8	no	—
1135	C₂×C₄×C₁₃	—	2	2	no	—
1136	C₂×C₄×C₁₃	—	2	2	no	—
1137	C₂×C₄×C₁₃	—	2	2	no	—
1138	C₂×C₄×C₁₃	—	2	2	no	—
1139	C₂×C₄×C₁₃	—	2	2	no	—
1140	C₂×C₄×C₁₃	—	2	2	no	—
1141	C₂×C₄×C₁₃	—	4	4	no	—
1142	C₂×C₄×C₁₃	—	4	2	no	—
1143	C₂×C₄×C₁₃	—	4	4	no	—
1144	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
1145	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1146	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1147	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1148	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1149	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1150	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1151	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1152	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1153	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1154	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1155	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1156	C₂²⋊D₁₃	—	2	8	no	—
1157	C₂²⋊D₁₃	—	2	4	no	—
1158	C₂²⋊D₁₃	—	2	4	no	—
1159	C₂²⋊D₁₃	—	2	8	no	—
1160	C₂²⋊D₁₃	—	2	4	no	—
1161	C₂²⋊D₁₃	—	2	4	no	—
1162	C₂²⋊D₁₃	—	4	4	no	—
1163	C₂²⋊D₁₃	—	4	4	no	—
1164	C₂²⋊D₁₃	—	4	4	no	—
1165	C₂²⋊D₁₃	—	4	4	no	—
1166	C₂²⋊D₁₃	—	4	4	no	—
1167	C₂²⋊D₁₃	—	4	4	no	—
1168	C₂²⋊D₁₃	—	4	4	no	—
1169	C₂²⋊D₁₃	—	4	4	no	—
1170	C₂²⋊D₁₃	—	4	2	no	—
1171	C₂²⋊D₁₃	—	4	2	no	—
1172	C₂²⋊D₁₃	—	4	4	no	—
1173	C₂²⋊D₁₃	—	4	2	no	—
1174	C₂²⋊D₁₃	—	4	4	no	—
1175	C₂²⋊D₁₃	—	4	2	no	—
1176	C₂×Dic₁₃	—	2	4	no	—
1177	C₂×Dic₁₃	—	4	2	no	—
1178	C₂×Dic₁₃	—	4	1	no	—
1179	C₂×Dic₁₃	—	4	2	no	—
1180	C₂×Dic₁₃	—	4	1	no	—
1181	C₂×Dic₁₃	—	4	4	no	—
1182	C₂×Dic₁₃	—	4	4	no	—
1183	C₂×Dic₁₃	—	4	4	no	—
1184	C₂×Dic₁₃	—	4	2	no	—
1185	C₂×Dic₁₃	—	4	2	no	—
1186	C₂×Dic₁₃	—	4	4	no	—
1187	C₂×Dic₁₃	C₂⁵	1	2	yes	—
1188	C₂×Dic₁₃	C₂⁵	1	2	yes	—
1189	C₂×Dic₁₃	C₂⁵	1	4	yes	—
1190	C₂×Dic₁₃	C₂⁵	1	4	yes	—
1191	C₂×Dic₁₃	C₂⁵	1	2	yes	—
1192	C₂×Dic₁₃	C₂⁵	1	2	yes	—
1193	C₂×Dic₁₃	C₂⁵	1	2	yes	—
1194	C₂×Dic₁₃	C₂⁵	1	4	yes	—
1195	C₂×Dic₁₃	C₂⁵	1	2	yes	—
1196	D₅₂	—	2	8	no	—
1197	D₅₂	—	2	4	no	—
1198	D₅₂	—	4	2	no	—
1199	D₅₂	—	4	4	no	—
1200	D₅₂	—	4	4	no	—
1201	C₄×D₁₃	—	2	8	no	—
1202	C₄×D₁₃	—	2	4	no	—
1203	C₄×D₁₃	—	2	4	no	—
1204	C₄×D₁₃	—	2	4	no	—
1205	C₄×D₁₃	—	2	4	no	—
1206	C₄×D₁₃	—	2	8	no	—
1207	C₄×D₁₃	—	4	2	no	—
1208	C₄×D₁₃	—	4	2	no	—
1209	C₄×D₁₃	—	4	2	no	—
1210	C₄×D₁₃	—	4	2	no	—
1211	C₄×D₁₃	—	4	4	no	—
1212	C₄×D₁₃	—	4	4	no	—
1213	C₄×D₁₃	—	4	4	no	—
1214	C₄×D₁₃	—	4	4	no	—
1215	C₄×D₁₃	—	4	4	no	—
1216	C₄×D₁₃	—	4	4	no	—
1217	Dic₂₆	—	2	4	no	—
1218	Dic₂₆	—	4	2	no	—
1219	Dic₂₆	—	4	4	no	—
1220	Dic₂₆	—	4	4	no	—
1221	Dic₂₆	—	4	4	no	—
1222	C₂²×#41	—	13	2	no	—
1223	C₂²×#41	—	13	1	no	—
1224	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
1225	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
1226	C₂⁴×C₄	—	13	1	no	—
1227	#563	—	13	4	no	—
1228	#563	—	13	2	no	—
1229	#563	—	13	2	no	—
1230	#563	—	13	4	no	—
1231	#562	—	13	4	no	—
1232	#562	—	13	4	no	—
1233	#562	—	13	4	no	—
1234	#562	—	13	4	no	—
1235	#562	—	13	4	no	—
1236	#562	—	13	4	no	—
1237	H(3,𝔽₄)	—	13	2	no	—
1238	H(3,𝔽₄)	—	13	2	no	—
1239	#560	—	13	2	no	—
1240	#560	—	13	2	no	—
1241	#560	—	13	2	no	—
1242	#560	—	13	4	no	—
1243	#560	—	13	4	no	—
1244	#560	—	13	4	no	—
1245	#560	—	13	2	no	—
1246	#560	—	13	4	no	—
1247	#559	—	13	2	no	—
1248	#559	—	13	2	no	—
1249	#556	—	13	2	no	—
1250	#556	—	13	2	no	—
1251	#555	—	13	2	no	—
1252	#555	—	13	2	no	—
1253	#554	—	13	4	no	—
1254	#554	—	13	2	no	—
1255	#554	—	13	4	no	—
1256	#554	—	13	2	no	—
1257	#553	—	13	4	no	—
1258	#553	—	13	4	no	—
1259	#553	—	13	4	no	—
1260	#553	—	13	2	no	—
1261	#553	—	13	2	no	—
1262	#553	—	13	4	no	—
1263	#553	—	13	2	no	—
1264	#553	—	13	2	no	—
1265	#552	—	13	4	no	—
1266	#552	—	13	2	no	—
1267	#552	—	13	2	no	—
1268	#552	—	13	4	no	—
1269	#552	—	13	2	no	—
1270	#552	—	13	2	no	—
1271	#551	—	13	2	no	—
1272	#551	—	13	2	no	—
1273	#551	—	13	4	no	—
1274	#551	—	13	4	no	—
1275	#551	—	13	2	no	—
1276	#551	—	13	4	no	—
1277	#551	—	13	4	no	—
1278	#551	—	13	2	no	—
1279	#551	—	13	4	no	—
1280	#551	—	13	4	no	—
1281	#550	—	13	2	no	—
1282	#550	—	13	2	no	—
1283	D₄×Q₈	—	13	2	no	—
1284	D₄×Q₈	—	13	2	no	—
1285	#548	—	13	2	no	—
1286	#548	—	13	2	no	—
1287	#548	—	13	2	no	—
1288	#548	—	13	2	no	—
1289	#547	—	13	4	no	—
1290	#547	—	13	2	no	—
1291	#547	—	13	4	no	—
1292	#547	—	13	2	no	—
1293	#547	—	13	2	no	—
1294	#547	—	13	2	no	—
1295	#546	—	13	4	no	—
1296	#546	—	13	2	no	—
1297	#546	—	13	4	no	—
1298	#546	—	13	2	no	—
1299	#546	—	13	4	no	—
1300	#546	—	13	2	no	—
1301	#546	—	13	4	no	—
1302	#546	—	13	4	no	—
1303	#546	—	13	2	no	—
1304	#546	—	13	4	no	—
1305	#546	—	13	4	no	—
1306	#546	—	13	4	no	—
1307	#546	—	13	4	no	—
1308	#546	—	13	4	no	—
1309	D₄²	—	13	4	no	—
1310	D₄²	—	13	2	no	—
1311	D₄²	—	13	2	no	—
1312	D₄²	—	13	2	no	—
1313	D₄²	—	13	4	no	—
1314	D₄²	—	13	2	no	—
1315	#544	—	13	4	no	—
1316	#543	—	13	4	no	—
1317	#542	—	13	4	no	—
1318	#542	—	13	4	no	—
1319	#542	—	13	4	no	—
1320	#542	—	13	2	no	—
1321	#542	—	13	2	no	—
1322	#542	—	13	2	no	—
1323	#542	—	13	2	no	—
1324	#542	—	13	4	no	—
1325	#541	—	13	2	no	—
1326	#541	—	13	2	no	—
1327	#540	—	13	4	no	—
1328	#540	—	13	2	no	—
1329	#540	—	13	2	no	—
1330	#540	—	13	4	no	—
1331	#540	—	13	4	no	—
1332	#540	—	13	4	no	—
1333	#539	—	13	4	no	—
1334	#539	—	13	4	no	—
1335	#539	—	13	4	no	—
1336	#539	—	13	4	no	—
1337	#539	—	13	4	no	—
1338	#539	—	13	4	no	—
1339	#539	—	13	4	no	—
1340	#539	—	13	4	no	—
1341	#538	—	13	4	no	—
1342	#538	—	13	4	no	—
1343	#538	—	13	4	no	—
1344	#538	—	13	4	no	—
1345	#538	—	13	4	no	—
1346	#538	—	13	4	no	—
1347	#538	—	13	4	no	—
1348	#538	—	13	4	no	—
1349	#538	—	13	4	no	—
1350	#538	—	13	4	no	—
1351	#538	—	13	4	no	—
1352	#538	—	13	4	no	—
1353	#537	—	13	2	no	—
1354	#537	—	13	2	no	—
1355	#537	—	13	4	no	—
1356	#537	C₂×D₁₃	1	2	yes	complemented
1357	#537	C₂×D₁₃	1	2	yes	complemented
1358	#536	—	13	1	no	—
1359	#536	—	13	1	no	—
1360	#536	—	13	2	no	—
1361	#536	C₂×D₁₃	1	2	yes	complemented
1362	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
1363	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
1364	#535	—	13	1	no	—
1365	#535	—	13	1	no	—
1366	#535	—	13	2	no	—
1367	#535	—	13	4	no	—
1368	#535	—	13	4	no	—
1369	#535	C₂×D₁₃	1	2	yes	complemented
1370	#535	C₂×D₁₃	1	1	yes	characteristic, complemented
1371	#535	C₂×D₁₃	1	1	yes	characteristic, complemented
1372	#534	—	13	2	no	—
1373	#534	—	13	2	no	—
1374	#534	—	13	4	no	—
1375	#534	—	13	4	no	—
1376	#534	—	13	4	no	—
1377	#534	C₂×D₁₃	1	2	yes	complemented
1378	#534	C₂×D₁₃	1	2	yes	complemented
1379	#533	—	13	2	no	—
1380	#532	—	13	2	no	—
1381	#532	—	13	2	no	—
1382	#532	—	13	2	no	—
1383	#532	—	13	4	no	—
1384	#532	—	13	4	no	—
1385	#532	C₂×D₁₃	1	2	yes	complemented
1386	#532	C₂×D₁₃	1	2	yes	complemented
1387	#529	—	13	4	no	—
1388	#529	—	13	4	no	—
1389	#529	—	13	4	no	—
1390	#529	—	13	4	no	—
1391	#529	—	13	4	no	—
1392	#529	—	13	4	no	—
1393	#529	—	13	4	no	—
1394	#529	—	13	4	no	—
1395	#529	—	13	4	no	—
1396	#529	—	13	4	no	—
1397	#525	—	13	1	no	—
1398	#525	—	13	2	no	—
1399	#525	—	13	2	no	—
1400	#525	—	13	2	no	—
1401	#525	—	13	1	no	—
1402	#525	—	13	1	no	—
1403	#525	—	13	1	no	—
1404	#525	—	13	1	no	—
1405	#525	—	13	1	no	—
1406	#525	—	13	1	no	—
1407	#525	—	13	1	no	—
1408	#525	—	13	2	no	—
1409	#525	—	13	2	no	—
1410	#525	—	13	2	no	—
1411	#525	—	13	2	no	—
1412	#525	—	13	4	no	—
1413	#525	—	13	2	no	—
1414	#525	—	13	2	no	—
1415	#525	—	13	4	no	—
1416	#525	—	13	4	no	—
1417	#525	—	13	2	no	—
1418	#525	—	13	2	no	—
1419	#525	—	13	2	no	—
1420	#525	—	13	2	no	—
1421	#525	—	13	4	no	—
1422	#525	—	13	4	no	—
1423	#525	—	13	4	no	—
1424	#525	—	13	4	no	—
1425	#525	—	13	4	no	—
1426	#525	—	13	2	no	—
1427	#525	C₂×D₁₃	1	2	yes	complemented
1428	#525	C₂×D₁₃	1	2	yes	complemented
1429	#525	C₂×D₁₃	1	2	yes	complemented
1430	#525	C₂×D₁₃	1	2	yes	complemented
1431	C₂×#123	—	13	1	no	—
1432	C₂×#123	—	13	1	no	—
1433	C₂×#123	—	13	4	no	—
1434	C₂×C₂²⋊Q₈	—	13	2	no	—
1435	C₂×C₂²⋊Q₈	—	13	2	no	—
1436	C₂×C₂²⋊Q₈	—	13	2	no	—
1437	C₂×#121	—	13	2	no	—
1438	C₂×#121	—	13	2	no	—
1439	C₂×#121	—	13	2	no	—
1440	C₂×#120	—	13	1	no	—
1441	C₂×#120	—	13	1	no	—
1442	C₂×#120	—	13	4	no	—
1443	C₄×#41	—	13	2	no	—
1444	C₄×#41	—	13	4	no	—
1445	C₄×#41	—	13	2	no	—
1446	C₄×#41	—	13	4	no	—
1447	C₂×C₄×D₄	—	13	2	no	—
1448	C₂×C₄×D₄	—	13	2	no	—
1449	C₂×C₄×D₄	—	13	4	no	—
1450	C₂×C₄×D₄	—	13	4	no	—
1451	C₂×C₄×D₄	—	13	4	no	—
1452	C₂×C₄×D₄	—	13	4	no	—
1453	C₂×#117	—	13	1	no	—
1454	C₂×#117	—	13	1	no	—
1455	C₂×#117	—	13	2	no	—
1456	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
1457	C₂²×C₁₃	—	2	2	no	—
1458	C₂²×C₁₃	—	2	1	no	—
1459	C₂²×C₁₃	—	2	1	no	—
1460	C₂²×C₁₃	—	2	1	no	—
1461	C₂²×C₁₃	—	2	4	no	—
1462	C₂²×C₁₃	—	2	1	no	—
1463	C₂²×C₁₃	—	2	1	no	—
1464	C₂²×C₁₃	—	2	1	no	—
1465	C₂²×C₁₃	—	2	2	no	—
1466	C₂²×C₁₃	—	2	4	no	—
1467	C₂²×C₁₃	—	2	4	no	—
1468	C₂²×C₁₃	—	2	2	no	—
1469	C₂²×C₁₃	—	2	2	no	—
1470	C₂²×C₁₃	—	2	2	no	—
1471	C₂²×C₁₃	—	2	2	no	—
1472	C₂²×C₁₃	—	2	2	no	—
1473	C₂²×C₁₃	—	4	4	no	—
1474	C₂²×C₁₃	—	8	2	no	—
1475	C₂²×C₁₃	—	8	2	no	—
1476	C₂²×C₁₃	—	8	4	no	—
1477	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1478	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1479	C₂×D₁₃	—	2	2	no	—
1480	C₂×D₁₃	—	2	2	no	—
1481	C₂×D₁₃	—	2	2	no	—
1482	C₂×D₁₃	—	2	4	no	—
1483	C₂×D₁₃	—	2	4	no	—
1484	C₂×D₁₃	—	2	4	no	—
1485	C₂×D₁₃	—	2	2	no	—
1486	C₂×D₁₃	—	2	2	no	—
1487	C₂×D₁₃	—	4	4	no	—
1488	C₂×D₁₃	—	4	8	no	—
1489	C₂×D₁₃	—	4	8	no	—
1490	C₂×D₁₃	—	4	4	no	—
1491	C₂×D₁₃	—	8	8	no	—
1492	C₂×D₁₃	—	8	4	no	—
1493	C₂×D₁₃	#585	1	4	yes	—
1494	C₄×C₁₃	—	2	1	no	—
1495	C₄×C₁₃	—	2	4	no	—
1496	C₄×C₁₃	—	2	1	no	—
1497	C₄×C₁₃	—	2	1	no	—
1498	C₄×C₁₃	—	2	1	no	—
1499	C₄×C₁₃	—	2	1	no	—
1500	C₄×C₁₃	—	2	1	no	—
1501	C₄×C₁₃	—	2	4	no	—
1502	C₄×C₁₃	—	2	4	no	—
1503	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1504	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1505	Dic₁₃	—	2	4	no	—
1506	Dic₁₃	—	2	2	no	—
1507	Dic₁₃	—	2	2	no	—
1508	Dic₁₃	—	2	2	no	—
1509	Dic₁₃	—	2	2	no	—
1510	Dic₁₃	—	2	4	no	—
1511	Dic₁₃	—	2	4	no	—
1512	Dic₁₃	—	2	2	no	—
1513	Dic₁₃	—	2	2	no	—
1514	C₂⁵	—	13	1	no	—
1515	C₂×#41	—	4	4	no	—
1516	C₂×#41	—	4	4	no	—
1517	C₂×#41	—	13	2	no	—
1518	C₂×#41	—	13	4	no	—
1519	C₂×#41	—	13	4	no	—
1520	C₂×#41	—	13	2	no	—
1521	C₂×#41	—	13	2	no	—
1522	C₂×#41	—	13	4	no	—
1523	C₂×#41	—	13	4	no	—
1524	C₂×#41	—	13	2	no	—
1525	C₂×#41	—	13	2	no	—
1526	C₂×#41	—	13	2	no	—
1527	C₂×#41	—	52	4	no	—
1528	C₂×#41	—	52	8	no	—
1529	C₂×#41	C₂²×D₁₃	1	2	yes	—
1530	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1531	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1532	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1533	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1534	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1535	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1536	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1537	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1538	C₂×#41	C₂²×D₁₃	1	2	yes	—
1539	C₂×#41	C₂²×D₁₃	1	2	yes	complemented
1540	C₂×#41	C₂²×D₁₃	1	2	yes	complemented
1541	C₂²×Q₈	—	13	2	no	—
1542	C₂²×Q₈	—	13	1	no	—
1543	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1544	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1545	C₂²×D₄	—	13	2	no	—
1546	C₂²×D₄	—	13	2	no	—
1547	C₂²×D₄	—	13	4	no	—
1548	C₂²×D₄	—	13	2	no	—
1549	C₂²×D₄	—	13	4	no	—
1550	C₂²×D₄	—	13	4	no	—
1551	C₂²×D₄	—	13	4	no	—
1552	C₂²×D₄	—	13	4	no	—
1553	C₂²×D₄	—	13	2	no	—
1554	C₂²×D₄	—	13	1	no	—
1555	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1556	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1557	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1558	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
1559	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1560	C₂³×C₄	—	13	1	no	—
1561	C₂³×C₄	—	13	2	no	—
1562	C₂³×C₄	—	13	1	no	—
1563	C₂³×C₄	—	13	4	no	—
1564	C₂³×C₄	—	13	2	no	—
1565	C₂³×C₄	—	13	2	no	—
1566	C₂³×C₄	—	13	1	no	—
1567	C₂³×C₄	—	13	2	no	—
1568	C₂³×C₄	—	13	2	no	—
1569	C₂³×C₄	—	13	1	no	—
1570	C₂³×C₄	—	13	1	no	—
1571	C₂³×C₄	—	52	4	no	—
1572	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1573	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1574	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1575	C₂³×C₄	C₂²×D₁₃	1	2	yes	complemented
1576	C₄⋊Q₈	—	13	2	no	—
1577	C₄⋊Q₈	—	13	2	no	—
1578	C₄⋊Q₈	—	13	2	no	—
1579	C₄⋊Q₈	—	13	4	no	—
1580	C₄⋊Q₈	—	13	4	no	—
1581	C₄⋊Q₈	—	13	2	no	—
1582	C₄⋊Q₈	—	13	2	no	—
1583	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1584	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1585	#127	—	13	2	no	—
1586	#127	—	13	2	no	—
1587	#127	—	13	4	no	—
1588	#127	—	13	4	no	—
1589	#127	—	13	2	no	—
1590	#127	C₂²×D₁₃	1	2	yes	—
1591	#127	C₂²×D₁₃	1	2	yes	—
1592	#126	—	13	4	no	—
1593	#126	—	13	4	no	—
1594	#126	—	13	4	no	—
1595	#126	—	13	4	no	—
1596	#126	—	13	4	no	—
1597	#126	—	13	4	no	—
1598	#126	—	13	4	no	—
1599	#126	—	13	4	no	—
1600	#126	—	13	4	no	—
1601	#126	—	13	4	no	—
1602	#126	—	13	4	no	—
1603	#126	—	13	4	no	—
1604	#126	—	13	4	no	—
1605	#126	—	13	4	no	—
1606	#126	—	13	4	no	—
1607	#126	—	13	4	no	—
1608	#126	—	13	4	no	—
1609	#126	—	13	4	no	—
1610	#126	—	13	4	no	—
1611	#126	—	13	4	no	—
1612	#125	—	13	4	no	—
1613	#125	—	13	4	no	—
1614	#125	—	13	4	no	—
1615	#125	—	13	4	no	—
1616	#125	—	13	4	no	—
1617	#125	—	13	4	no	—
1618	#125	—	13	4	no	—
1619	#125	—	13	4	no	—
1620	#125	—	13	4	no	—
1621	#125	—	13	2	no	—
1622	#125	—	13	2	no	—
1623	#125	—	13	4	no	—
1624	#124	—	13	2	no	—
1625	#124	—	13	2	no	—
1626	#124	—	13	4	no	—
1627	#124	—	13	2	no	—
1628	#124	—	13	4	no	—
1629	#124	—	13	4	no	—
1630	#124	—	13	4	no	—
1631	#124	—	13	2	no	—
1632	#124	—	13	2	no	—
1633	#124	—	13	4	no	—
1634	#124	—	13	2	no	—
1635	#124	—	13	4	no	—
1636	#124	—	13	4	no	—
1637	#124	—	13	4	no	—
1638	#124	—	13	4	no	—
1639	#124	—	13	4	no	—
1640	#124	—	13	4	no	—
1641	#124	—	13	4	no	—
1642	#124	—	13	4	no	—
1643	#124	—	13	4	no	—
1644	#124	C₂²×D₁₃	1	2	yes	—
1645	#124	C₂²×D₁₃	1	2	yes	—
1646	#124	C₂²×D₁₃	1	2	yes	complemented
1647	#124	C₂²×D₁₃	1	2	yes	complemented
1648	#123	—	13	2	no	—
1649	#123	—	13	2	no	—
1650	#123	—	13	2	no	—
1651	#123	—	13	2	no	—
1652	#123	—	13	4	no	—
1653	#123	—	13	1	no	—
1654	#123	—	13	1	no	—
1655	#123	—	13	1	no	—
1656	#123	—	13	1	no	—
1657	#123	—	13	1	no	—
1658	#123	—	13	1	no	—
1659	#123	—	13	1	no	—
1660	#123	—	13	1	no	—
1661	#123	—	13	2	no	—
1662	#123	—	13	2	no	—
1663	#123	—	13	2	no	—
1664	#123	—	13	2	no	—
1665	#123	—	13	4	no	—
1666	#123	—	13	4	no	—
1667	#123	—	13	4	no	—
1668	#123	—	13	4	no	—
1669	#123	—	13	4	no	—
1670	#123	—	13	4	no	—
1671	#123	—	13	4	no	—
1672	#123	—	13	4	no	—
1673	#123	—	13	4	no	—
1674	#123	—	13	4	no	—
1675	#123	—	13	4	no	—
1676	#123	—	13	4	no	—
1677	#123	—	13	4	no	—
1678	#123	—	13	4	no	—
1679	#123	—	13	4	no	—
1680	#123	—	13	4	no	—
1681	#123	—	13	4	no	—
1682	#123	—	13	4	no	—
1683	#123	—	13	4	no	—
1684	#123	—	13	4	no	—
1685	#123	—	13	4	no	—
1686	#123	—	13	4	no	—
1687	#123	—	13	4	no	—
1688	#123	—	13	4	no	—
1689	#123	—	13	4	no	—
1690	#123	—	13	4	no	—
1691	#123	—	13	4	no	—
1692	#123	—	13	4	no	—
1693	#123	—	13	4	no	—
1694	#123	—	13	4	no	—
1695	#123	—	13	4	no	—
1696	#123	—	13	4	no	—
1697	#123	—	13	4	no	—
1698	#123	—	13	4	no	—
1699	#123	—	13	4	no	—
1700	#123	C₂²×D₁₃	1	4	yes	—
1701	#123	C₂²×D₁₃	1	2	yes	—
1702	#123	C₂²×D₁₃	1	4	yes	—
1703	#123	C₂²×D₁₃	1	2	yes	—
1704	#123	C₂²×D₁₃	1	2	yes	complemented
1705	#123	C₂²×D₁₃	1	2	yes	complemented
1706	C₂²⋊Q₈	—	13	2	no	—
1707	C₂²⋊Q₈	—	13	2	no	—
1708	C₂²⋊Q₈	—	13	2	no	—
1709	C₂²⋊Q₈	—	13	2	no	—
1710	C₂²⋊Q₈	—	13	2	no	—
1711	C₂²⋊Q₈	—	13	2	no	—
1712	C₂²⋊Q₈	—	13	2	no	—
1713	C₂²⋊Q₈	—	13	2	no	—
1714	C₂²⋊Q₈	—	13	2	no	—
1715	C₂²⋊Q₈	—	13	2	no	—
1716	C₂²⋊Q₈	—	13	4	no	—
1717	C₂²⋊Q₈	—	13	4	no	—
1718	C₂²⋊Q₈	—	13	4	no	—
1719	C₂²⋊Q₈	—	13	4	no	—
1720	C₂²⋊Q₈	—	13	2	no	—
1721	C₂²⋊Q₈	—	13	2	no	—
1722	C₂²⋊Q₈	—	13	2	no	—
1723	C₂²⋊Q₈	—	13	2	no	—
1724	C₂²⋊Q₈	—	13	4	no	—
1725	C₂²⋊Q₈	—	13	4	no	—
1726	C₂²⋊Q₈	—	13	4	no	—
1727	C₂²⋊Q₈	—	13	4	no	—
1728	C₂²⋊Q₈	—	13	2	no	—
1729	C₂²⋊Q₈	—	13	2	no	—
1730	C₂²⋊Q₈	—	13	4	no	—
1731	C₂²⋊Q₈	—	13	4	no	—
1732	C₂²⋊Q₈	—	13	4	no	—
1733	C₂²⋊Q₈	—	13	4	no	—
1734	C₂²⋊Q₈	—	13	4	no	—
1735	C₂²⋊Q₈	—	13	4	no	—
1736	C₂²⋊Q₈	—	13	4	no	—
1737	C₂²⋊Q₈	—	13	4	no	—
1738	C₂²⋊Q₈	—	13	4	no	—
1739	C₂²⋊Q₈	—	13	4	no	—
1740	C₂²⋊Q₈	—	13	4	no	—
1741	C₂²⋊Q₈	—	13	4	no	—
1742	C₂²⋊Q₈	—	13	4	no	—
1743	C₂²⋊Q₈	—	13	4	no	—
1744	C₂²⋊Q₈	—	13	4	no	—
1745	C₂²⋊Q₈	—	13	4	no	—
1746	C₂²⋊Q₈	—	13	4	no	—
1747	C₂²⋊Q₈	—	13	4	no	—
1748	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1749	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1750	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1751	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1752	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	complemented
1753	C₂²⋊Q₈	C₂²×D₁₃	1	4	yes	complemented
1754	#121	—	13	2	no	—
1755	#121	—	13	2	no	—
1756	#121	—	13	2	no	—
1757	#121	—	13	4	no	—
1758	#121	—	13	2	no	—
1759	#121	—	13	2	no	—
1760	#121	—	13	2	no	—
1761	#121	—	13	2	no	—
1762	#121	—	13	2	no	—
1763	#121	—	13	2	no	—
1764	#121	—	13	2	no	—
1765	#121	—	13	4	no	—
1766	#121	—	13	4	no	—
1767	#121	—	13	4	no	—
1768	#121	—	13	4	no	—
1769	#121	—	13	4	no	—
1770	#121	—	13	4	no	—
1771	#121	—	13	4	no	—
1772	#121	—	13	4	no	—
1773	#121	—	13	4	no	—
1774	#121	—	13	4	no	—
1775	#121	—	13	4	no	—
1776	#121	—	13	4	no	—
1777	#121	—	13	4	no	—
1778	#121	—	13	4	no	—
1779	#121	—	13	4	no	—
1780	#121	—	13	4	no	—
1781	#121	—	13	4	no	—
1782	#121	—	13	4	no	—
1783	#121	—	13	4	no	—
1784	#121	—	13	4	no	—
1785	#121	—	13	4	no	—
1786	#121	—	13	4	no	—
1787	#121	—	13	4	no	—
1788	#121	—	13	4	no	—
1789	#121	—	13	4	no	—
1790	#121	—	13	2	no	—
1791	#121	—	13	2	no	—
1792	#121	—	13	4	no	—
1793	#121	—	13	2	no	—
1794	#121	—	13	2	no	—
1795	#121	—	13	4	no	—
1796	#121	—	13	4	no	—
1797	#121	—	13	2	no	—
1798	#121	—	13	2	no	—
1799	#121	—	13	4	no	—
1800	#121	—	13	4	no	—
1801	#121	—	13	4	no	—
1802	#121	—	13	4	no	—
1803	#121	—	13	4	no	—
1804	#121	—	13	4	no	—
1805	#121	—	13	4	no	—
1806	#121	—	13	4	no	—
1807	#121	—	13	4	no	—
1808	#121	C₂²×D₁₃	1	2	yes	—
1809	#121	C₂²×D₁₃	1	2	yes	—
1810	#121	C₂²×D₁₃	1	4	yes	—
1811	#121	C₂²×D₁₃	1	4	yes	—
1812	#121	C₂²×D₁₃	1	4	yes	—
1813	#121	C₂²×D₁₃	1	4	yes	—
1814	#121	C₂²×D₁₃	1	2	yes	complemented
1815	#121	C₂²×D₁₃	1	2	yes	complemented
1816	#121	C₂²×D₁₃	1	4	yes	complemented
1817	#121	C₂²×D₁₃	1	4	yes	complemented
1818	#120	—	13	4	no	—
1819	#120	—	13	4	no	—
1820	#120	—	13	4	no	—
1821	#120	—	13	4	no	—
1822	#120	—	13	2	no	—
1823	#120	—	13	2	no	—
1824	#120	—	13	4	no	—
1825	#120	—	13	2	no	—
1826	#120	—	13	2	no	—
1827	#120	—	13	1	no	—
1828	#120	—	13	1	no	—
1829	#120	—	13	4	no	—
1830	#120	—	13	1	no	—
1831	#120	—	13	1	no	—
1832	#120	—	13	1	no	—
1833	#120	—	13	1	no	—
1834	#120	—	13	4	no	—
1835	#120	—	13	1	no	—
1836	#120	—	13	1	no	—
1837	#120	—	13	2	no	—
1838	#120	—	13	2	no	—
1839	#120	—	13	2	no	—
1840	#120	—	13	2	no	—
1841	#120	—	13	4	no	—
1842	#120	—	13	4	no	—
1843	#120	—	13	4	no	—
1844	#120	—	13	4	no	—
1845	#120	—	13	4	no	—
1846	#120	—	13	4	no	—
1847	#120	—	13	4	no	—
1848	#120	—	13	4	no	—
1849	#120	—	13	4	no	—
1850	#120	C₂²×D₁₃	1	4	yes	—
1851	#120	C₂²×D₁₃	1	2	yes	—
1852	#120	C₂²×D₁₃	1	4	yes	—
1853	#120	C₂²×D₁₃	1	2	yes	—
1854	#120	C₂²×D₁₃	1	2	yes	complemented
1855	#120	C₂²×D₁₃	1	2	yes	complemented
1856	C₄×Q₈	—	13	2	no	—
1857	C₄×Q₈	—	13	2	no	—
1858	C₄×Q₈	—	13	2	no	—
1859	C₄×Q₈	—	13	2	no	—
1860	C₄×Q₈	—	13	4	no	—
1861	C₄×Q₈	—	13	4	no	—
1862	C₄×Q₈	—	13	4	no	—
1863	C₄×Q₈	—	13	4	no	—
1864	C₄×D₄	—	13	4	no	—
1865	C₄×D₄	—	13	4	no	—
1866	C₄×D₄	—	13	4	no	—
1867	C₄×D₄	—	13	4	no	—
1868	C₄×D₄	—	13	4	no	—
1869	C₄×D₄	—	13	4	no	—
1870	C₄×D₄	—	13	2	no	—
1871	C₄×D₄	—	13	2	no	—
1872	C₄×D₄	—	13	2	no	—
1873	C₄×D₄	—	13	2	no	—
1874	C₄×D₄	—	13	4	no	—
1875	C₄×D₄	—	13	2	no	—
1876	C₄×D₄	—	13	2	no	—
1877	C₄×D₄	—	13	2	no	—
1878	C₄×D₄	—	13	2	no	—
1879	C₄×D₄	—	13	4	no	—
1880	C₄×D₄	—	13	4	no	—
1881	C₄×D₄	—	13	4	no	—
1882	C₄×D₄	—	13	4	no	—
1883	C₄×D₄	—	13	2	no	—
1884	C₄×D₄	—	13	2	no	—
1885	C₄×D₄	—	13	4	no	—
1886	C₄×D₄	—	13	4	no	—
1887	C₄×D₄	—	13	2	no	—
1888	C₄×D₄	—	13	2	no	—
1889	C₄×D₄	—	13	2	no	—
1890	C₄×D₄	—	13	2	no	—
1891	C₄×D₄	—	13	2	no	—
1892	C₄×D₄	—	13	2	no	—
1893	C₄×D₄	—	13	2	no	—
1894	C₄×D₄	—	13	2	no	—
1895	C₄×D₄	—	13	4	no	—
1896	C₄×D₄	—	13	4	no	—
1897	C₄×D₄	—	13	4	no	—
1898	C₄×D₄	—	13	4	no	—
1899	C₄×D₄	—	13	4	no	—
1900	C₄×D₄	—	13	4	no	—
1901	C₄×D₄	—	13	4	no	—
1902	C₄×D₄	—	13	4	no	—
1903	C₄×D₄	—	13	4	no	—
1904	C₄×D₄	—	13	4	no	—
1905	C₄×D₄	—	13	2	no	—
1906	C₄×D₄	—	13	2	no	—
1907	C₄×D₄	—	13	4	no	—
1908	C₄×D₄	—	13	4	no	—
1909	C₄×D₄	—	13	4	no	—
1910	C₄×D₄	—	13	4	no	—
1911	C₄×D₄	—	13	4	no	—
1912	C₄×D₄	—	13	4	no	—
1913	C₄×D₄	—	13	4	no	—
1914	C₄×D₄	—	13	4	no	—
1915	C₄×D₄	—	13	4	no	—
1916	C₄×D₄	—	13	4	no	—
1917	C₄×D₄	—	13	4	no	—
1918	C₄×D₄	—	13	4	no	—
1919	C₄×D₄	—	13	4	no	—
1920	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1921	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1922	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1923	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1924	#117	—	13	2	no	—
1925	#117	—	13	1	no	—
1926	#117	—	13	1	no	—
1927	#117	—	13	2	no	—
1928	#117	—	13	2	no	—
1929	#117	—	13	1	no	—
1930	#117	—	13	2	no	—
1931	#117	—	13	1	no	—
1932	#117	—	13	2	no	—
1933	#117	—	13	1	no	—
1934	#117	—	13	1	no	—
1935	#117	—	13	4	no	—
1936	#117	—	13	4	no	—
1937	#117	—	13	2	no	—
1938	#117	—	13	2	no	—
1939	#117	—	13	4	no	—
1940	#117	—	13	4	no	—
1941	#117	—	13	4	no	—
1942	#117	—	13	4	no	—
1943	#117	—	13	4	no	—
1944	#117	—	13	4	no	—
1945	#117	—	13	4	no	—
1946	#117	—	13	4	no	—
1947	#117	C₂²×D₁₃	1	2	yes	—
1948	#117	C₂²×D₁₃	1	2	yes	—
1949	#117	C₂²×D₁₃	1	2	yes	complemented
1950	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1951	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1952	C₂×C₄⋊C₄	—	13	2	no	—
1953	C₂×C₄⋊C₄	—	13	2	no	—
1954	C₂×C₄⋊C₄	—	13	2	no	—
1955	C₂×C₄⋊C₄	—	13	2	no	—
1956	C₂×C₄⋊C₄	—	13	4	no	—
1957	C₂×C₄⋊C₄	—	13	2	no	—
1958	C₂×C₄⋊C₄	—	13	2	no	—
1959	C₂×C₄⋊C₄	—	13	4	no	—
1960	C₂×C₄⋊C₄	—	13	4	no	—
1961	C₂×C₄⋊C₄	—	13	4	no	—
1962	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
1963	C₂×C₂²⋊C₄	—	13	1	no	—
1964	C₂×C₂²⋊C₄	—	13	1	no	—
1965	C₂×C₂²⋊C₄	—	13	2	no	—
1966	C₂×C₂²⋊C₄	—	13	2	no	—
1967	C₂×C₂²⋊C₄	—	13	2	no	—
1968	C₂×C₂²⋊C₄	—	13	4	no	—
1969	C₂×C₂²⋊C₄	—	13	2	no	—
1970	C₂×C₂²⋊C₄	—	13	2	no	—
1971	C₂×C₂²⋊C₄	—	13	4	no	—
1972	C₂×C₂²⋊C₄	—	13	4	no	—
1973	C₂×C₂²⋊C₄	—	13	4	no	—
1974	C₂×C₂²⋊C₄	—	13	4	no	—
1975	C₂×C₂²⋊C₄	—	13	4	no	—
1976	C₂×C₂²⋊C₄	—	13	4	no	—
1977	C₂×C₂²⋊C₄	—	13	4	no	—
1978	C₂×C₂²⋊C₄	—	13	4	no	—
1979	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1980	C₂×C₄²	—	13	2	no	—
1981	C₂×C₄²	—	13	2	no	—
1982	C₂×C₄²	—	13	4	no	—
1983	C₂×C₄²	—	13	4	no	—
1984	C₂×C₄²	—	13	4	no	—
1985	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
1986	C₂×C₁₃	—	2	2	no	—
1987	C₂×C₁₃	—	4	1	no	—
1988	C₂×C₁₃	—	4	1	no	—
1989	C₂×C₁₃	—	4	1	no	—
1990	C₂×C₁₃	—	4	4	no	—
1991	C₂×C₁₃	—	4	1	no	—
1992	C₂×C₁₃	—	4	1	no	—
1993	C₂×C₁₃	—	4	1	no	—
1994	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1995	C₂×C₁₃	C₂×#585	1	2	yes	—
1996	D₁₃	—	2	4	no	—
1997	D₁₃	—	4	2	no	—
1998	D₁₃	—	4	4	no	—
1999	C₂⁴	—	13	1	no	—
2000	C₂⁴	—	13	2	no	—
2001	C₂⁴	—	13	4	no	—
2002	C₂⁴	—	13	2	no	—
2003	C₂⁴	—	13	2	no	—
2004	C₂⁴	—	13	1	no	—
2005	C₂⁴	—	52	2	no	—
2006	C₂⁴	—	52	4	no	—
2007	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
2008	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
2009	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
2010	C₂⁴	C₂³×D₁₃	1	2	yes	—
2011	#41	—	2	8	no	—
2012	#41	—	4	2	no	—
2013	#41	—	4	2	no	—
2014	#41	—	4	2	no	—
2015	#41	—	4	2	no	—
2016	#41	—	4	2	no	—
2017	#41	—	4	2	no	—
2018	#41	—	4	2	no	—
2019	#41	—	4	2	no	—
2020	#41	—	4	4	no	—
2021	#41	—	4	4	no	—
2022	#41	—	4	4	no	—
2023	#41	—	26	8	no	—
2024	#41	—	52	4	no	—
2025	#41	—	52	8	no	—
2026	#41	—	52	4	no	—
2027	#41	—	52	4	no	—
2028	#41	—	52	8	no	—
2029	#41	—	52	8	no	—
2030	#41	—	52	4	no	—
2031	#41	—	52	8	no	—
2032	#41	—	52	4	no	—
2033	C₂×Q₈	—	4	2	no	—
2034	C₂×Q₈	—	4	2	no	—
2035	C₂×Q₈	—	13	2	no	—
2036	C₂×Q₈	—	13	4	no	—
2037	C₂×Q₈	—	13	4	no	—
2038	C₂×Q₈	—	13	4	no	—
2039	C₂×Q₈	—	13	2	no	—
2040	C₂×Q₈	—	52	2	no	—
2041	C₂×Q₈	—	52	4	no	—
2042	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
2043	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
2044	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
2045	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
2046	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
2047	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
2048	C₂×D₄	—	4	2	no	—
2049	C₂×D₄	—	4	2	no	—
2050	C₂×D₄	—	4	2	no	—
2051	C₂×D₄	—	4	2	no	—
2052	C₂×D₄	—	4	4	no	—
2053	C₂×D₄	—	13	2	no	—
2054	C₂×D₄	—	13	2	no	—
2055	C₂×D₄	—	13	4	no	—
2056	C₂×D₄	—	13	2	no	—
2057	C₂×D₄	—	13	2	no	—
2058	C₂×D₄	—	13	4	no	—
2059	C₂×D₄	—	13	2	no	—
2060	C₂×D₄	—	13	2	no	—
2061	C₂×D₄	—	13	4	no	—
2062	C₂×D₄	—	13	4	no	—
2063	C₂×D₄	—	13	4	no	—
2064	C₂×D₄	—	13	4	no	—
2065	C₂×D₄	—	13	4	no	—
2066	C₂×D₄	—	13	2	no	—
2067	C₂×D₄	—	13	2	no	—
2068	C₂×D₄	—	13	4	no	—
2069	C₂×D₄	—	13	4	no	—
2070	C₂×D₄	—	13	4	no	—
2071	C₂×D₄	—	13	4	no	—
2072	C₂×D₄	—	13	4	no	—
2073	C₂×D₄	—	13	4	no	—
2074	C₂×D₄	—	13	2	no	—
2075	C₂×D₄	—	13	4	no	—
2076	C₂×D₄	—	13	4	no	—
2077	C₂×D₄	—	13	2	no	—
2078	C₂×D₄	—	52	2	no	—
2079	C₂×D₄	—	52	4	no	—
2080	C₂×D₄	—	52	8	no	—
2081	C₂×D₄	—	52	8	no	—
2082	C₂×D₄	—	52	8	no	—
2083	C₂×D₄	—	52	8	no	—
2084	C₂×D₄	—	52	4	no	—
2085	C₂×D₄	—	52	8	no	—
2086	C₂×D₄	—	52	4	no	—
2087	C₂×D₄	—	52	4	no	—
2088	C₂×D₄	C₂³×D₁₃	1	4	yes	—
2089	C₂×D₄	C₂³×D₁₃	1	2	yes	—
2090	C₂×D₄	C₂³×D₁₃	1	4	yes	—
2091	C₂×D₄	C₂³×D₁₃	1	4	yes	—
2092	C₂×D₄	C₂³×D₁₃	1	4	yes	—
2093	C₂×D₄	C₂³×D₁₃	1	4	yes	—
2094	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2095	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2096	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2097	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2098	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2099	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2100	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2101	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2102	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2103	C₂×D₄	C₂³×D₁₃	1	2	yes	—
2104	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2105	C₂×D₄	C₂³×D₁₃	1	4	yes	—
2106	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2107	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
2108	C₂²×C₄	—	2	4	no	—
2109	C₂²×C₄	—	2	4	no	—
2110	C₂²×C₄	—	2	4	no	—
2111	C₂²×C₄	—	4	4	no	—
2112	C₂²×C₄	—	13	2	no	—
2113	C₂²×C₄	—	13	2	no	—
2114	C₂²×C₄	—	13	2	no	—
2115	C₂²×C₄	—	13	4	no	—
2116	C₂²×C₄	—	13	4	no	—
2117	C₂²×C₄	—	13	4	no	—
2118	C₂²×C₄	—	13	4	no	—
2119	C₂²×C₄	—	13	1	no	—
2120	C₂²×C₄	—	13	2	no	—
2121	C₂²×C₄	—	13	2	no	—
2122	C₂²×C₄	—	13	1	no	—
2123	C₂²×C₄	—	13	4	no	—
2124	C₂²×C₄	—	13	2	no	—
2125	C₂²×C₄	—	13	2	no	—
2126	C₂²×C₄	—	13	2	no	—
2127	C₂²×C₄	—	13	4	no	—
2128	C₂²×C₄	—	13	2	no	—
2129	C₂²×C₄	—	13	4	no	—
2130	C₂²×C₄	—	13	4	no	—
2131	C₂²×C₄	—	13	4	no	—
2132	C₂²×C₄	—	13	2	no	—
2133	C₂²×C₄	—	13	4	no	—
2134	C₂²×C₄	—	13	2	no	—
2135	C₂²×C₄	—	13	4	no	—
2136	C₂²×C₄	—	13	4	no	—
2137	C₂²×C₄	—	13	2	no	—
2138	C₂²×C₄	—	13	2	no	—
2139	C₂²×C₄	—	26	8	no	—
2140	C₂²×C₄	—	52	2	no	—
2141	C₂²×C₄	—	52	4	no	—
2142	C₂²×C₄	—	52	2	no	—
2143	C₂²×C₄	—	52	4	no	—
2144	C₂²×C₄	—	52	2	no	—
2145	C₂²×C₄	—	52	2	no	—
2146	C₂²×C₄	—	52	4	no	—
2147	C₂²×C₄	—	52	8	no	—
2148	C₂²×C₄	—	52	4	no	—
2149	C₂²×C₄	—	52	2	no	—
2150	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2151	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2152	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2153	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2154	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2155	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2156	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2157	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2158	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2159	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2160	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
2161	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2162	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2163	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2164	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2165	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2166	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
2167	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
2168	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
2169	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
2170	C₄⋊C₄	—	13	2	no	—
2171	C₄⋊C₄	—	13	2	no	—
2172	C₄⋊C₄	—	13	2	no	—
2173	C₄⋊C₄	—	13	2	no	—
2174	C₄⋊C₄	—	13	4	no	—
2175	C₄⋊C₄	—	13	4	no	—
2176	C₄⋊C₄	—	13	2	no	—
2177	C₄⋊C₄	—	13	2	no	—
2178	C₄⋊C₄	—	13	2	no	—
2179	C₄⋊C₄	—	13	4	no	—
2180	C₄⋊C₄	—	13	4	no	—
2181	C₄⋊C₄	—	13	2	no	—
2182	C₄⋊C₄	—	13	2	no	—
2183	C₄⋊C₄	—	13	4	no	—
2184	C₄⋊C₄	—	13	2	no	—
2185	C₄⋊C₄	—	13	4	no	—
2186	C₄⋊C₄	—	13	4	no	—
2187	C₄⋊C₄	—	13	2	no	—
2188	C₄⋊C₄	—	13	2	no	—
2189	C₄⋊C₄	—	13	4	no	—
2190	C₄⋊C₄	—	13	4	no	—
2191	C₄⋊C₄	—	13	4	no	—
2192	C₄⋊C₄	—	13	4	no	—
2193	C₄⋊C₄	—	13	4	no	—
2194	C₄⋊C₄	—	13	2	no	—
2195	C₄⋊C₄	—	13	2	no	—
2196	C₄⋊C₄	—	13	4	no	—
2197	C₄⋊C₄	—	13	4	no	—
2198	C₄⋊C₄	—	13	4	no	—
2199	C₄⋊C₄	—	13	4	no	—
2200	C₄⋊C₄	—	13	4	no	—
2201	C₄⋊C₄	—	13	4	no	—
2202	C₄⋊C₄	—	13	4	no	—
2203	C₄⋊C₄	—	13	4	no	—
2204	C₄⋊C₄	—	13	4	no	—
2205	C₄⋊C₄	—	13	4	no	—
2206	C₄⋊C₄	—	13	4	no	—
2207	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
2208	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
2209	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
2210	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
2211	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
2212	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
2213	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
2214	C₂²⋊C₄	—	13	2	no	—
2215	C₂²⋊C₄	—	13	2	no	—
2216	C₂²⋊C₄	—	13	4	no	—
2217	C₂²⋊C₄	—	13	4	no	—
2218	C₂²⋊C₄	—	13	2	no	—
2219	C₂²⋊C₄	—	13	2	no	—
2220	C₂²⋊C₄	—	13	1	no	—
2221	C₂²⋊C₄	—	13	1	no	—
2222	C₂²⋊C₄	—	13	2	no	—
2223	C₂²⋊C₄	—	13	2	no	—
2224	C₂²⋊C₄	—	13	2	no	—
2225	C₂²⋊C₄	—	13	2	no	—
2226	C₂²⋊C₄	—	13	1	no	—
2227	C₂²⋊C₄	—	13	1	no	—
2228	C₂²⋊C₄	—	13	2	no	—
2229	C₂²⋊C₄	—	13	2	no	—
2230	C₂²⋊C₄	—	13	4	no	—
2231	C₂²⋊C₄	—	13	4	no	—
2232	C₂²⋊C₄	—	13	4	no	—
2233	C₂²⋊C₄	—	13	4	no	—
2234	C₂²⋊C₄	—	13	4	no	—
2235	C₂²⋊C₄	—	13	4	no	—
2236	C₂²⋊C₄	—	13	2	no	—
2237	C₂²⋊C₄	—	13	2	no	—
2238	C₂²⋊C₄	—	13	4	no	—
2239	C₂²⋊C₄	—	13	4	no	—
2240	C₂²⋊C₄	—	13	4	no	—
2241	C₂²⋊C₄	—	13	2	no	—
2242	C₂²⋊C₄	—	13	2	no	—
2243	C₂²⋊C₄	—	13	4	no	—
2244	C₂²⋊C₄	—	13	4	no	—
2245	C₂²⋊C₄	—	13	4	no	—
2246	C₂²⋊C₄	—	13	2	no	—
2247	C₂²⋊C₄	—	13	2	no	—
2248	C₂²⋊C₄	—	13	4	no	—
2249	C₂²⋊C₄	—	13	4	no	—
2250	C₂²⋊C₄	—	13	2	no	—
2251	C₂²⋊C₄	—	13	2	no	—
2252	C₂²⋊C₄	—	13	4	no	—
2253	C₂²⋊C₄	—	13	4	no	—
2254	C₂²⋊C₄	—	13	2	no	—
2255	C₂²⋊C₄	—	13	2	no	—
2256	C₂²⋊C₄	—	13	4	no	—
2257	C₂²⋊C₄	—	13	4	no	—
2258	C₂²⋊C₄	—	13	4	no	—
2259	C₂²⋊C₄	—	13	4	no	—
2260	C₂²⋊C₄	—	13	4	no	—
2261	C₂²⋊C₄	—	13	4	no	—
2262	C₂²⋊C₄	—	13	4	no	—
2263	C₂²⋊C₄	—	13	4	no	—
2264	C₂²⋊C₄	—	13	4	no	—
2265	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2266	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2267	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2268	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2269	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2270	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2271	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2272	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
2273	C₂²⋊C₄	C₂³×D₁₃	1	2	yes	—
2274	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2275	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
2276	C₄²	—	13	2	no	—
2277	C₄²	—	13	4	no	—
2278	C₄²	—	13	4	no	—
2279	C₄²	—	13	2	no	—
2280	C₄²	—	13	2	no	—
2281	C₄²	—	13	4	no	—
2282	C₄²	—	13	4	no	—
2283	C₄²	—	13	2	no	—
2284	C₄²	—	13	4	no	—
2285	C₄²	—	13	4	no	—
2286	C₄²	—	13	2	no	—
2287	C₄²	—	13	2	no	—
2288	C₄²	—	13	4	no	—
2289	C₄²	C₂³×D₁₃	1	2	yes	—
2290	C₄²	C₂³×D₁₃	1	2	yes	—
2291	C₄²	C₂³×D₁₃	1	4	yes	—
2292	C₁₃	#62729	1	1	yes	characteristic, complemented, Sylow
2293	C₂³	—	2	2	no	—
2294	C₂³	—	2	2	no	—
2295	C₂³	—	2	2	no	—
2296	C₂³	—	4	2	no	—
2297	C₂³	—	4	2	no	—
2298	C₂³	—	4	2	no	—
2299	C₂³	—	4	2	no	—
2300	C₂³	—	4	4	no	—
2301	C₂³	—	13	2	no	—
2302	C₂³	—	13	2	no	—
2303	C₂³	—	13	4	no	—
2304	C₂³	—	26	4	no	—
2305	C₂³	—	26	4	no	—
2306	C₂³	—	26	4	no	—
2307	C₂³	—	26	8	no	—
2308	C₂³	—	26	4	no	—
2309	C₂³	—	52	1	no	—
2310	C₂³	—	52	2	no	—
2311	C₂³	—	52	1	no	—
2312	C₂³	—	52	2	no	—
2313	C₂³	—	52	2	no	—
2314	C₂³	—	52	2	no	—
2315	C₂³	—	52	2	no	—
2316	C₂³	—	52	4	no	—
2317	C₂³	—	52	4	no	—
2318	C₂³	—	52	4	no	—
2319	C₂³	—	52	16	no	—
2320	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2321	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2322	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2323	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2324	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2325	C₂³	C₂⁴×D₁₃	1	4	yes	—
2326	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2327	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
2328	Q₈	—	2	4	no	—
2329	Q₈	—	4	1	no	—
2330	Q₈	—	4	1	no	—
2331	Q₈	—	4	1	no	—
2332	Q₈	—	4	1	no	—
2333	Q₈	—	4	2	no	—
2334	Q₈	—	26	4	no	—
2335	Q₈	—	52	2	no	—
2336	Q₈	—	52	4	no	—
2337	Q₈	—	52	4	no	—
2338	Q₈	—	52	4	no	—
2339	D₄	—	2	8	no	—
2340	D₄	—	2	4	no	—
2341	D₄	—	4	1	no	—
2342	D₄	—	4	1	no	—
2343	D₄	—	4	1	no	—
2344	D₄	—	4	1	no	—
2345	D₄	—	4	1	no	—
2346	D₄	—	4	1	no	—
2347	D₄	—	4	1	no	—
2348	D₄	—	4	1	no	—
2349	D₄	—	4	1	no	—
2350	D₄	—	4	1	no	—
2351	D₄	—	4	2	no	—
2352	D₄	—	4	1	no	—
2353	D₄	—	4	1	no	—
2354	D₄	—	4	4	no	—
2355	D₄	—	4	4	no	—
2356	D₄	—	4	4	no	—
2357	D₄	—	4	4	no	—
2358	D₄	—	4	4	no	—
2359	D₄	—	26	8	no	—
2360	D₄	—	26	4	no	—
2361	D₄	—	26	4	no	—
2362	D₄	—	26	8	no	—
2363	D₄	—	26	4	no	—
2364	D₄	—	26	4	no	—
2365	D₄	—	26	8	no	—
2366	D₄	—	26	4	no	—
2367	D₄	—	52	4	no	—
2368	D₄	—	52	2	no	—
2369	D₄	—	52	4	no	—
2370	D₄	—	52	4	no	—
2371	D₄	—	52	4	no	—
2372	D₄	—	52	2	no	—
2373	D₄	—	52	2	no	—
2374	D₄	—	52	4	no	—
2375	D₄	—	52	4	no	—
2376	D₄	—	52	4	no	—
2377	D₄	—	52	4	no	—
2378	D₄	—	52	2	no	—
2379	D₄	—	52	2	no	—
2380	D₄	—	52	4	no	—
2381	D₄	—	52	4	no	—
2382	D₄	—	52	4	no	—
2383	D₄	—	52	4	no	—
2384	C₂×C₄	—	2	2	no	—
2385	C₂×C₄	—	2	2	no	—
2386	C₂×C₄	—	2	2	no	—
2387	C₂×C₄	—	2	2	no	—
2388	C₂×C₄	—	2	2	no	—
2389	C₂×C₄	—	2	2	no	—
2390	C₂×C₄	—	2	2	no	—
2391	C₂×C₄	—	2	2	no	—
2392	C₂×C₄	—	2	2	no	—
2393	C₂×C₄	—	2	2	no	—
2394	C₂×C₄	—	2	2	no	—
2395	C₂×C₄	—	2	2	no	—
2396	C₂×C₄	—	2	2	no	—
2397	C₂×C₄	—	2	2	no	—
2398	C₂×C₄	—	2	2	no	—
2399	C₂×C₄	—	2	8	no	—
2400	C₂×C₄	—	4	2	no	—
2401	C₂×C₄	—	4	4	no	—
2402	C₂×C₄	—	4	4	no	—
2403	C₂×C₄	—	13	2	no	—
2404	C₂×C₄	—	13	2	no	—
2405	C₂×C₄	—	13	4	no	—
2406	C₂×C₄	—	13	4	no	—
2407	C₂×C₄	—	13	2	no	—
2408	C₂×C₄	—	13	2	no	—
2409	C₂×C₄	—	13	2	no	—
2410	C₂×C₄	—	13	4	no	—
2411	C₂×C₄	—	13	2	no	—
2412	C₂×C₄	—	26	8	no	—
2413	C₂×C₄	—	26	4	no	—
2414	C₂×C₄	—	26	4	no	—
2415	C₂×C₄	—	26	4	no	—
2416	C₂×C₄	—	26	4	no	—
2417	C₂×C₄	—	26	4	no	—
2418	C₂×C₄	—	26	8	no	—
2419	C₂×C₄	—	52	2	no	—
2420	C₂×C₄	—	52	2	no	—
2421	C₂×C₄	—	52	2	no	—
2422	C₂×C₄	—	52	2	no	—
2423	C₂×C₄	—	52	4	no	—
2424	C₂×C₄	—	52	4	no	—
2425	C₂×C₄	—	52	4	no	—
2426	C₂×C₄	—	52	4	no	—
2427	C₂×C₄	—	52	4	no	—
2428	C₂×C₄	—	52	4	no	—
2429	C₂×C₄	—	52	1	no	—
2430	C₂×C₄	—	52	2	no	—
2431	C₂×C₄	—	52	1	no	—
2432	C₂×C₄	—	52	2	no	—
2433	C₂×C₄	—	52	4	no	—
2434	C₂×C₄	—	52	4	no	—
2435	C₂×C₄	—	52	2	no	—
2436	C₂×C₄	—	52	2	no	—
2437	C₂×C₄	—	52	4	no	—
2438	C₂×C₄	—	52	4	no	—
2439	C₂×C₄	#88251	1	4	yes	—
2440	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2441	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
2442	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
2443	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
2444	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2445	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2446	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2447	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2448	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2449	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2450	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2451	C₂²	—	2	2	no	—
2452	C₂²	—	2	1	no	—
2453	C₂²	—	2	1	no	—
2454	C₂²	—	2	1	no	—
2455	C₂²	—	2	1	no	—
2456	C₂²	—	2	1	no	—
2457	C₂²	—	2	1	no	—
2458	C₂²	—	2	4	no	—
2459	C₂²	—	2	2	no	—
2460	C₂²	—	2	2	no	—
2461	C₂²	—	2	4	no	—
2462	C₂²	—	2	4	no	—
2463	C₂²	—	2	2	no	—
2464	C₂²	—	2	2	no	—
2465	C₂²	—	2	2	no	—
2466	C₂²	—	2	2	no	—
2467	C₂²	—	4	4	no	—
2468	C₂²	—	8	2	no	—
2469	C₂²	—	8	2	no	—
2470	C₂²	—	8	4	no	—
2471	C₂²	—	13	4	no	—
2472	C₂²	—	26	2	no	—
2473	C₂²	—	26	2	no	—
2474	C₂²	—	26	2	no	—
2475	C₂²	—	26	4	no	—
2476	C₂²	—	26	4	no	—
2477	C₂²	—	26	4	no	—
2478	C₂²	—	26	2	no	—
2479	C₂²	—	26	2	no	—
2480	C₂²	—	52	8	no	—
2481	C₂²	—	52	4	no	—
2482	C₂²	—	52	8	no	—
2483	C₂²	—	52	4	no	—
2484	C₂²	—	104	8	no	—
2485	C₂²	—	104	4	no	—
2486	C₂²	C₂×#88251	1	2	yes	—
2487	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
2488	C₄	—	2	1	no	—
2489	C₄	—	2	1	no	—
2490	C₄	—	2	1	no	—
2491	C₄	—	2	1	no	—
2492	C₄	—	2	1	no	—
2493	C₄	—	2	1	no	—
2494	C₄	—	2	4	no	—
2495	C₄	—	2	4	no	—
2496	C₄	—	2	4	no	—
2497	C₄	—	26	2	no	—
2498	C₄	—	26	2	no	—
2499	C₄	—	26	4	no	—
2500	C₄	—	26	4	no	—
2501	C₄	—	26	2	no	—
2502	C₄	—	26	2	no	—
2503	C₄	—	26	4	no	—
2504	C₄	—	26	2	no	—
2505	C₄	—	26	2	no	—
2506	C₄	C₂×#88251	1	2	yes	—
2507	C₄	C₂×#88251	1	2	yes	—
2508	C₂	—	2	2	no	—
2509	C₂	—	4	1	no	—
2510	C₂	—	4	1	no	—
2511	C₂	—	4	1	no	—
2512	C₂	—	4	1	no	—
2513	C₂	—	4	4	no	—
2514	C₂	—	4	1	no	—
2515	C₂	—	4	1	no	—
2516	C₂	—	26	4	no	—
2517	C₂	—	52	2	no	—
2518	C₂	—	52	4	no	—
2519	C₂	C₂²×#88251	1	1	yes	characteristic
2520	C₂	D₁₃×#585	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₁₃×#3449	C₂
hypercenter	#3449	D₁₃
hypocenter	C₁₃	#62729
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #3449

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #13129154	C₂	semidirect
2. #13129140	C₂	semidirect
3. #13129131	C₂	semidirect
4. #13129117	C₂	semidirect
5. #13129113	C₂	semidirect
6. #13129102	C₂	semidirect
7. #13129089	C₂	semidirect
8. #13129079	C₂	semidirect
9. #13129069	C₂	semidirect
10. #13129054	C₂	semidirect
11. #13129035	C₂	semidirect
12. #13129016	C₂	semidirect
13. #13129009	C₂	semidirect
14. #13128997	C₂	semidirect
15. #13128990	C₂	semidirect
16. #13128988	C₂	semidirect
17. #13128974	C₂	semidirect
18. #13128972	C₂	semidirect
19. #13128444	C₂	semidirect
20. #13128438	C₂	semidirect
21. #13128396	C₂	semidirect
22. #13128390	C₂	semidirect
23. #41×C₂²⋊D₁₃	C₂	semidirect
24. #13128319	C₂	semidirect
25. #13128250	C₂	semidirect
26. #13128243	C₂	semidirect
27. #13128224	C₂	semidirect
28. #13128165	C₂	semidirect
29. C₂×#11719533	C₂	semidirect
30. D₁₃×#525	C₂	semidirect
31. C₁₃×#3449	C₂	semidirect
32. C₂²×C₁₃×#41	C₂²	semidirect
33. C₂²×C₁₃×#41	C₂²	semidirect
34. C₂×#41×D₁₃	C₂²	semidirect
35. C₂²×#6127	C₂²	semidirect
36. C₂³×C₄×D₁₃	C₂²	semidirect
37. C₁₃×#537	C₂²	semidirect
38. C₁₃×#537	C₂²	semidirect
39. C₁₃×#536	C₂²	semidirect
40. C₁₃×#536	C₂²	semidirect
41. C₁₃×#536	C₂²	semidirect
42. C₁₃×#535	C₂²	semidirect
43. C₁₃×#535	C₂²	semidirect
44. C₁₃×#535	C₂²	semidirect
45. C₁₃×#534	C₂²	semidirect
46. C₁₃×#534	C₂²	semidirect
47. C₁₃×#532	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
49. C₁₃×#525	C₂²	semidirect
50. C₁₃×#525	C₂²	semidirect
51. C₁₃×#525	C₂²	semidirect
52. C₁₃×#525	C₂²	semidirect
53. C₂×C₁₃×#117	C₂²	semidirect
54. #11719539	C₂²	semidirect
55. #11719538	C₂²	semidirect
56. #11719538	C₂²	semidirect
57. #11719537	C₂²	semidirect
58. #11719537	C₂²	semidirect
59. #11719537	C₂²	semidirect
60. #11719537	C₂²	semidirect
61. #11719536	C₂²	semidirect
62. #11719535	C₂²	semidirect
63. #11719535	C₂²	semidirect
64. #11719534	C₂²	semidirect
65. #11719534	C₂²	semidirect
67. #11719533	C₂²	semidirect
68. #11719533	C₂²	semidirect
69. #11719533	C₂²	semidirect
70. #11719533	C₂²	semidirect
71. #11719533	C₂²	semidirect
72. #11719533	C₂²	semidirect
73. #11719533	C₂²	semidirect
74. #11719533	C₂²	semidirect
75. #11719533	C₂²	semidirect
76. #11719533	C₂²	semidirect
77. #11719533	C₂²	semidirect
78. #11719533	C₂²	semidirect
79. #11719533	C₂²	semidirect
80. #11719533	C₂²	semidirect
81. #11719533	C₂²	semidirect
82. #41×Dic₁₃	C₂²	semidirect
83. #11719530	C₂²	semidirect
84. #11719530	C₂²	semidirect
85. #11719529	C₂²	semidirect
86. #11719529	C₂²	semidirect
87. #11719522	C₂²	semidirect
88. #11719521	C₂²	semidirect
89. Q₈×C₂²⋊D₁₃	C₂²	semidirect
90. C₂×#88200	C₂²	semidirect
91. #11719511	C₂²	semidirect
92. #11719511	C₂²	semidirect
93. #11719510	C₂²	semidirect
94. #11719509	C₂²	semidirect
95. #11719509	C₂²	semidirect
96. D₄×C₂²⋊D₁₃	C₂²	semidirect
97. D₄×C₂²⋊D₁₃	C₂²	semidirect
98. C₂×#88192	C₂²	semidirect
99. C₂×#88191	C₂²	semidirect
100. C₂×#88191	C₂²	semidirect
101. C₂×#88189	C₂²	semidirect
102. C₂×#88189	C₂²	semidirect
103. #11719496	C₂²	semidirect
104. #11719496	C₂²	semidirect
105. #11719496	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
107. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
108. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
109. C₂×#88180	C₂²	semidirect
110. C₂×#88180	C₂²	semidirect
111. #11719440	C₂²	semidirect
112. #11719438	C₂²	semidirect
113. #11719435	C₂²	semidirect
114. #11719434	C₂²	semidirect
115. #11719425	C₂²	semidirect
116. #11719425	C₂²	semidirect
117. #11719424	C₂²	semidirect
118. #11719422	C₂²	semidirect
119. #11719420	C₂²	semidirect
120. #11719418	C₂²	semidirect
121. #11719389	C₂²	semidirect
122. #11719388	C₂²	semidirect
123. #11719384	C₂²	semidirect
124. #11719384	C₂²	semidirect
125. #11719384	C₂²	semidirect
126. #11719383	C₂²	semidirect
127. #11719383	C₂²	semidirect
128. #11719377	C₂²	semidirect
129. #11719374	C₂²	semidirect
130. #11719374	C₂²	semidirect
131. #11719372	C₂²	semidirect
132. #11719371	C₂²	semidirect
133. #11719370	C₂²	semidirect
134. #11719370	C₂²	semidirect
135. #11719369	C₂²	semidirect
136. #11719366	C₂²	semidirect
137. #11719365	C₂²	semidirect
138. #11719365	C₂²	semidirect
139. #11719364	C₂²	semidirect
140. #11719363	C₂²	semidirect
141. #11719362	C₂²	semidirect
142. #11719362	C₂²	semidirect
143. #11719361	C₂²	semidirect
144. #11719360	C₂²	semidirect
145. #11719359	C₂²	semidirect
146. D₁₃×#123	C₂²	semidirect
147. #11719356	C₂²	semidirect
148. #11719355	C₂²	semidirect
149. #11719352	C₂²	semidirect
150. #11719351	C₂²	semidirect
151. #11719350	C₂²	semidirect
152. #11719348	C₂²	semidirect
153. #11719348	C₂²	semidirect
154. #11719347	C₂²	semidirect
155. #11719346	C₂²	semidirect
156. #11719344	C₂²	semidirect
157. #11719343	C₂²	semidirect
158. #11719343	C₂²	semidirect
159. #11719342	C₂²	semidirect
160. #11719341	C₂²	semidirect
161. #11719340	C₂²	semidirect
162. #11719339	C₂²	semidirect
163. #11719338	C₂²	semidirect
164. #11719337	C₂²	semidirect
165. #11719336	C₂²	semidirect
166. #11719335	C₂²	semidirect
167. #11719332	C₂²	semidirect
168. #11719332	C₂²	semidirect
169. D₁₃×C₂²⋊Q₈	C₂²	semidirect
170. D₁₃×C₂²⋊Q₈	C₂²	semidirect
171. #11719330	C₂²	semidirect
172. #11719330	C₂²	semidirect
173. #11719326	C₂²	semidirect
174. #11719326	C₂²	semidirect
175. #11719326	C₂²	semidirect
176. #11719325	C₂²	semidirect
177. #11719325	C₂²	semidirect
178. #11719325	C₂²	semidirect
179. #11719324	C₂²	semidirect
180. #11719324	C₂²	semidirect
181. #11719324	C₂²	semidirect
182. #11719323	C₂²	semidirect
183. #11719321	C₂²	semidirect
184. #11719320	C₂²	semidirect
185. #11719320	C₂²	semidirect
186. #11719319	C₂²	semidirect
187. #11719319	C₂²	semidirect
188. #11719319	C₂²	semidirect
189. #11719318	C₂²	semidirect
190. #11719318	C₂²	semidirect
191. #11719318	C₂²	semidirect
192. #11719318	C₂²	semidirect
193. #11719317	C₂²	semidirect
194. #11719317	C₂²	semidirect
195. #11719317	C₂²	semidirect
196. #11719316	C₂²	semidirect
197. #11719315	C₂²	semidirect
198. #11719314	C₂²	semidirect
199. #11719313	C₂²	semidirect
200. #11719312	C₂²	semidirect
201. #11719311	C₂²	semidirect
202. #11719311	C₂²	semidirect
203. #11719310	C₂²	semidirect
204. D₁₃×#121	C₂²	semidirect
205. D₁₃×#121	C₂²	semidirect
206. #11719308	C₂²	semidirect
207. #11719308	C₂²	semidirect
208. #11719308	C₂²	semidirect
209. #11719307	C₂²	semidirect
210. #11719306	C₂²	semidirect
211. #11719304	C₂²	semidirect
212. #11719303	C₂²	semidirect
213. #11719300	C₂²	semidirect
214. #11719300	C₂²	semidirect
215. #11719299	C₂²	semidirect
216. #11719298	C₂²	semidirect
217. #11719298	C₂²	semidirect
218. #11719298	C₂²	semidirect
219. #11719298	C₂²	semidirect
220. #11719296	C₂²	semidirect
221. #11719296	C₂²	semidirect
222. #11719296	C₂²	semidirect
223. #11719295	C₂²	semidirect
224. #11719295	C₂²	semidirect
225. #11719294	C₂²	semidirect
226. #11719294	C₂²	semidirect
227. D₁₃×#120	C₂²	semidirect
228. #11719292	C₂²	semidirect
229. #11719292	C₂²	semidirect
230. #11719291	C₂²	semidirect
231. #11719262	C₂²	semidirect
232. #11719262	C₂²	semidirect
233. #11719262	C₂²	semidirect
234. #11719253	C₂²	semidirect
235. #11719252	C₂²	semidirect
236. #11719252	C₂²	semidirect
237. #11719252	C₂²	semidirect
238. #11719252	C₂²	semidirect
239. C₄×D₄×D₁₃	C₂²	semidirect
240. C₄×D₄×D₁₃	C₂²	semidirect
241. C₄×D₄×D₁₃	C₂²	semidirect
242. #11719243	C₂²	semidirect
243. #11719243	C₂²	semidirect
244. #11719243	C₂²	semidirect
245. #11719243	C₂²	semidirect
246. C₄×#6129	C₂²	semidirect
247. #11719238	C₂²	semidirect
248. #11719237	C₂²	semidirect
249. #11719236	C₂²	semidirect
250. #11719235	C₂²	semidirect
251. #11719234	C₂²	semidirect
252. #11719233	C₂²	semidirect
253. #11719233	C₂²	semidirect
254. #11719232	C₂²	semidirect
255. #11719229	C₂²	semidirect
256. #11719227	C₂²	semidirect
257. D₁₃×#117	C₂²	semidirect
258. #11719222	C₂²	semidirect
259. #11719219	C₂²	semidirect
260. #11719218	C₂²	semidirect
261. #11719216	C₂²	semidirect
262. #11719212	C₂²	semidirect
263. #11719200	C₂²	semidirect
264. #11719195	C₂²	semidirect
265. #11719184	C₂²	semidirect
266. C₄×#6127	C₂²	semidirect
280. C₂×C₁₃×#41	C₂³	semidirect
281. C₂×C₁₃×#41	C₂³	semidirect
283. C₂²×Q₈×C₁₃	C₂³	semidirect
288. C₂²×D₄×C₁₃	C₂³	semidirect
292. C₂³×C₄×C₁₃	C₂³	semidirect
314. C₂×#6127	C₂³	semidirect
315. C₂×#6127	C₂³	semidirect
316. C₂²×D₅₂	C₂³	semidirect
327. C₂²×C₄×D₁₃	C₂³	semidirect
328. C₂²×Dic₂₆	C₂³	semidirect
329. C₁₃×C₄⋊Q₈	C₂³	semidirect
330. C₁₃×C₄⋊Q₈	C₂³	semidirect
335. C₁₃×#124	C₂³	semidirect
336. C₁₃×#124	C₂³	semidirect
341. C₁₃×#123	C₂³	semidirect
342. C₁₃×#123	C₂³	semidirect
345. C₁₃×C₂²⋊Q₈	C₂³	semidirect
346. C₁₃×C₂²⋊Q₈	C₂³	semidirect
347. C₁₃×C₂²⋊Q₈	C₂³	semidirect
348. C₁₃×C₂²⋊Q₈	C₂³	semidirect
355. C₁₃×#121	C₂³	semidirect
356. C₁₃×#121	C₂³	semidirect
357. C₁₃×#121	C₂³	semidirect
358. C₁₃×#121	C₂³	semidirect
363. C₁₃×#120	C₂³	semidirect
364. C₁₃×#120	C₂³	semidirect
367. C₄×D₄×C₁₃	C₂³	semidirect
368. C₄×D₄×C₁₃	C₂³	semidirect
371. C₁₃×#117	C₂³	semidirect
372. C₁₃×#117	C₂³	semidirect
373. C₁₃×#117	C₂³	semidirect
374. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
376. C₂×C₄²×C₁₃	C₂³	semidirect
380. #88207	C₂³	semidirect
386. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
388. #88201	C₂³	semidirect
389. #88201	C₂³	semidirect
390. #88201	C₂³	semidirect
402. #88200	C₂³	semidirect
403. #88200	C₂³	semidirect
404. #88200	C₂³	semidirect
405. Q₈×Dic₁₃	C₂³	semidirect
406. Q₈×Dic₁₃	C₂³	semidirect
407. #88198	C₂³	semidirect
408. #88198	C₂³	semidirect
409. #88198	C₂³	semidirect
410. #88198	C₂³	semidirect
415. #88194	C₂³	semidirect
429. #88193	C₂³	semidirect
430. #88193	C₂³	semidirect
431. #88193	C₂³	semidirect
432. #88193	C₂³	semidirect
433. #88193	C₂³	semidirect
450. #88192	C₂³	semidirect
451. #88192	C₂³	semidirect
472. #88191	C₂³	semidirect
473. #88191	C₂³	semidirect
474. #88191	C₂³	semidirect
479. #88190	C₂³	semidirect
480. #88190	C₂³	semidirect
481. #88190	C₂³	semidirect
499. #88189	C₂³	semidirect
500. #88189	C₂³	semidirect
501. #88189	C₂³	semidirect
502. #88189	C₂³	semidirect
503. #88189	C₂³	semidirect
504. #88189	C₂³	semidirect
509. D₄×Dic₁₃	C₂³	semidirect
510. D₄×Dic₁₃	C₂³	semidirect
511. D₄×Dic₁₃	C₂³	semidirect
512. D₄×Dic₁₃	C₂³	semidirect
518. #88184	C₂³	semidirect
519. #88184	C₂³	semidirect
524. #88183	C₂³	semidirect
525. #88183	C₂³	semidirect
549. C₄×C₂²⋊D₁₃	C₂³	semidirect
550. C₄×C₂²⋊D₁₃	C₂³	semidirect
551. C₄×C₂²⋊D₁₃	C₂³	semidirect
552. C₄×C₂²⋊D₁₃	C₂³	semidirect
553. C₄×C₂²⋊D₁₃	C₂³	semidirect
554. C₄×C₂²⋊D₁₃	C₂³	semidirect
555. C₄×C₂²⋊D₁₃	C₂³	semidirect
567. #88180	C₂³	semidirect
568. #88180	C₂³	semidirect
569. #88180	C₂³	semidirect
570. #88180	C₂³	semidirect
571. #88180	C₂³	semidirect
573. C₂×C₄⋊Dic₁₃	C₂³	semidirect
576. #88178	C₂³	semidirect
577. #88178	C₂³	semidirect
578. #88178	C₂³	semidirect
579. #88178	C₂³	semidirect
580. #88178	C₂³	semidirect
583. C₂×#6101	C₂³	semidirect
585. C₂×C₄×Dic₁₃	C₂³	semidirect
586. C₂×C₄×Dic₁₃	C₂³	semidirect
590. #88152	C₂³	semidirect
591. #88152	C₂³	semidirect
592. #88152	C₂³	semidirect
596. #88151	C₂³	semidirect
597. #88151	C₂³	semidirect
602. #88150	C₂³	semidirect
603. #88150	C₂³	semidirect
612. #88148	C₂³	semidirect
616. #88147	C₂³	semidirect
617. #88147	C₂³	semidirect
625. C₄⋊C₄×D₁₃	C₂³	semidirect
626. #88144	C₂³	semidirect
627. #88144	C₂³	semidirect
628. #88144	C₂³	semidirect
629. #88144	C₂³	semidirect
630. #88144	C₂³	semidirect
631. #88143	C₂³	semidirect
632. #88143	C₂³	semidirect
633. #88143	C₂³	semidirect
634. #88143	C₂³	semidirect
635. #88143	C₂³	semidirect
636. #88143	C₂³	semidirect
637. #88142	C₂³	semidirect
638. #88142	C₂³	semidirect
639. #88142	C₂³	semidirect
640. #88141	C₂³	semidirect
641. #88141	C₂³	semidirect
642. #88141	C₂³	semidirect
646. #88140	C₂³	semidirect
647. #88140	C₂³	semidirect
654. #88139	C₂³	semidirect
655. #88139	C₂³	semidirect
663. #88138	C₂³	semidirect
671. #88137	C₂³	semidirect
672. #88137	C₂³	semidirect
673. #88137	C₂³	semidirect
674. #88137	C₂³	semidirect
675. #88137	C₂³	semidirect
690. #88135	C₂³	semidirect
697. C₂²⋊C₄×D₁₃	C₂³	semidirect
702. #88133	C₂³	semidirect
703. #88133	C₂³	semidirect
704. #88133	C₂³	semidirect
705. #88133	C₂³	semidirect
706. #88133	C₂³	semidirect
707. #88133	C₂³	semidirect
708. #88133	C₂³	semidirect
709. #88133	C₂³	semidirect
714. #88132	C₂³	semidirect
715. #88132	C₂³	semidirect
716. #88132	C₂³	semidirect
717. #88132	C₂³	semidirect
718. #88132	C₂³	semidirect
719. #88132	C₂³	semidirect
721. #88131	C₂³	semidirect
722. #88131	C₂³	semidirect
724. #88130	C₂³	semidirect
731. #88126	C₂³	semidirect
732. #88126	C₂³	semidirect
734. C₄²×D₁₃	C₂³	semidirect
735. #88124	C₂³	semidirect
736. C₄×Dic₂₆	C₂³	semidirect
737. C₄×Dic₂₆	C₂³	semidirect
738. C₄×Dic₂₆	C₂³	semidirect
1061. #3449	D₁₃	semidirect
1224. C₂²×#41	C₂×D₁₃	semidirect
1225. C₂²×#41	C₂×D₁₃	semidirect
1356. #537	C₂×D₁₃	semidirect
1357. #537	C₂×D₁₃	semidirect
1361. #536	C₂×D₁₃	semidirect
1362. #536	C₂×D₁₃	semidirect
1363. #536	C₂×D₁₃	semidirect
1369. #535	C₂×D₁₃	semidirect
1370. #535	C₂×D₁₃	semidirect
1371. #535	C₂×D₁₃	semidirect
1377. #534	C₂×D₁₃	semidirect
1378. #534	C₂×D₁₃	semidirect
1385. #532	C₂×D₁₃	semidirect
1386. #532	C₂×D₁₃	semidirect
1427. #525	C₂×D₁₃	semidirect
1428. #525	C₂×D₁₃	semidirect
1429. #525	C₂×D₁₃	semidirect
1430. #525	C₂×D₁₃	semidirect
1456. C₂×#117	C₂×D₁₃	semidirect
1539. C₂×#41	C₂²×D₁₃	semidirect
1540. C₂×#41	C₂²×D₁₃	semidirect
1544. C₂²×Q₈	C₂²×D₁₃	semidirect
1559. C₂²×D₄	C₂²×D₁₃	semidirect
1575. C₂³×C₄	C₂²×D₁₃	semidirect
1583. C₄⋊Q₈	C₂²×D₁₃	semidirect
1584. C₄⋊Q₈	C₂²×D₁₃	semidirect
1646. #124	C₂²×D₁₃	semidirect
1647. #124	C₂²×D₁₃	semidirect
1704. #123	C₂²×D₁₃	semidirect
1705. #123	C₂²×D₁₃	semidirect
1750. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1751. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1752. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1753. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1814. #121	C₂²×D₁₃	semidirect
1815. #121	C₂²×D₁₃	semidirect
1816. #121	C₂²×D₁₃	semidirect
1817. #121	C₂²×D₁₃	semidirect
1854. #120	C₂²×D₁₃	semidirect
1855. #120	C₂²×D₁₃	semidirect
1922. C₄×D₄	C₂²×D₁₃	semidirect
1923. C₄×D₄	C₂²×D₁₃	semidirect
1949. #117	C₂²×D₁₃	semidirect
1950. #117	C₂²×D₁₃	semidirect
1951. #117	C₂²×D₁₃	semidirect
1962. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1985. C₂×C₄²	C₂²×D₁₃	semidirect
2292. C₁₃	#62729	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#13129154	2
#13129140	2
#13129131	2
#13129117	2
#13129113	2
#13129102	2
#13129089	2
#13129079	2
#13129069	2
#13129054	2
#13129035	2
#13129016	2
#13129009	2
#13128997	2
#13128990	2
#13128988	2
#13128974	2
#13128972	2
#13128444	2
#13128438	2
#13128396	2
#13128390	2
#41×C₂²⋊D₁₃	2
#13128319	2
#13128250	2
#13128243	2
#13128224	2
#13128165	2
C₂×#11719533	2
D₁₃×#525	2
C₁₃×#3449	2
#62729	13