Subgroups — #16745479

Order 3328.

2010 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128866	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128858	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127807	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127698	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127546	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127538	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127253	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127235	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127231	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127076	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127071	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126984	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126980	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126974	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126970	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126508	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126506	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125484	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125480	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125412	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125080	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125076	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125076	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124925	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124925	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123809	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123686	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123685	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
34	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
35	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#6104	C₂²	1	1	yes	characteristic
37	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
39	#11719423	C₂²	1	1	yes	characteristic, complemented
40	#11719422	C₂²	1	1	yes	characteristic, complemented
41	#11719400	C₂²	1	1	yes	characteristic, complemented
42	#11719395	C₂²	1	1	yes	characteristic, complemented
43	#11719366	—	2	1	no	—
44	#11719362	—	2	1	no	—
45	#11719361	—	2	1	no	—
46	#11719359	—	2	1	no	—
47	#11719321	C₂²	1	1	yes	characteristic, complemented
48	#11719319	C₂²	1	1	yes	characteristic, complemented
49	#11719318	—	2	1	no	—
50	#11719317	—	2	1	no	—
51	#11719315	—	2	1	no	—
52	#11719314	C₂²	1	1	yes	characteristic, complemented
53	#11719314	C₂²	1	1	yes	characteristic, complemented
54	D₁₃×#121	—	2	1	no	—
55	#11719267	C₂²	1	1	yes	characteristic, complemented
56	#11719267	C₂²	1	1	yes	characteristic, complemented
57	#11719265	—	2	1	no	—
58	#11719263	C₂²	1	1	yes	characteristic, complemented
59	#11719258	C₂²	1	1	yes	characteristic, complemented
60	#11719255	—	2	1	no	—
61	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
62	#11719253	C₂²	1	1	yes	characteristic, complemented
63	#11719253	C₂²	1	1	yes	characteristic, complemented
64	#11719252	—	2	1	no	—
65	#11719250	C₂²	1	1	yes	characteristic, complemented
66	#11719250	C₂²	1	1	yes	characteristic, complemented
67	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
69	#11719245	—	2	1	no	—
70	#11719244	C₂²	1	1	yes	characteristic, complemented
71	#11719240	C₂²	1	1	yes	characteristic, complemented
72	#11719237	C₂²	1	1	yes	characteristic, complemented
73	#11719235	C₂²	1	1	yes	characteristic, complemented
74	#11719233	C₂²	1	1	yes	characteristic
75	#11719226	C₂²	1	1	yes	characteristic, complemented
76	#11719199	—	2	1	no	—
77	#11719195	—	2	1	no	—
78	#11719195	—	2	1	no	—
79	C₂×#88138	—	2	1	no	—
80	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
93	#11718876	C₂²	1	1	yes	characteristic, complemented
94	#11718820	C₂²	1	1	yes	characteristic, complemented
95	#11718818	C₂²	1	1	yes	characteristic, complemented
96	#11718817	C₂²	1	1	yes	characteristic, complemented
97	#11718817	C₂²	1	1	yes	characteristic, complemented
98	#11718817	C₂²	1	1	yes	characteristic, complemented
99	#11718817	C₂²	1	1	yes	characteristic, complemented
100	#11718813	C₂²	1	1	yes	characteristic, complemented
101	#11718812	C₂²	1	1	yes	characteristic, complemented
102	#11718812	C₂²	1	1	yes	characteristic, complemented
103	#11718811	C₂²	1	1	yes	characteristic, complemented
104	#11718811	C₂²	1	1	yes	characteristic, complemented
105	#11718811	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718734	C₂²	1	1	yes	characteristic, complemented
109	#11718732	C₂²	1	1	yes	characteristic, complemented
110	#11718728	C₂²	1	1	yes	characteristic, complemented
111	#11718725	C₂²	1	1	yes	characteristic, complemented
112	#11718700	C₂²	1	1	yes	characteristic, complemented
113	#11718700	C₂²	1	1	yes	characteristic, complemented
114	#11718699	C₂²	1	1	yes	characteristic, complemented
115	#11718699	C₂²	1	1	yes	characteristic, complemented
116	#11718675	C₂²	1	1	yes	characteristic, complemented
117	#11718675	C₂²	1	1	yes	characteristic, complemented
118	#11718675	C₂²	1	1	yes	characteristic, complemented
119	#11718675	C₂²	1	1	yes	characteristic, complemented
120	#11718675	C₂²	1	1	yes	characteristic, complemented
121	#11718675	C₂²	1	1	yes	characteristic, complemented
122	C₄×#6104	C₂²	1	1	yes	characteristic
123	C₄×#6104	C₂²	1	1	yes	characteristic
124	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
128	#11718662	C₂²	1	1	yes	characteristic, complemented
129	#11718659	C₂²	1	1	yes	characteristic, complemented
130	#11718658	C₂²	1	1	yes	characteristic, complemented
131	#11718552	C₂²	1	1	yes	characteristic, complemented
132	#11718552	C₂²	1	1	yes	characteristic, complemented
133	#11718546	C₂²	1	1	yes	characteristic, complemented
134	#11718546	C₂²	1	1	yes	characteristic, complemented
135	#11718544	C₂²	1	1	yes	characteristic, complemented
136	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
137	#11718535	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic, complemented
139	#11718531	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718530	C₂²	1	1	yes	characteristic, complemented
142	#11718526	C₂²	1	1	yes	characteristic, complemented
143	#11718524	C₂²	1	1	yes	characteristic, complemented
144	#11718524	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic, complemented
146	#11718519	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718504	C₂²	1	1	yes	characteristic, complemented
150	#11718504	C₂²	1	1	yes	characteristic, complemented
151	#11718497	C₂²	1	1	yes	characteristic, complemented
152	#11718495	C₂²	1	1	yes	characteristic, complemented
153	#11718491	C₂²	1	1	yes	characteristic, complemented
154	#11718489	C₂²	1	1	yes	characteristic, complemented
155	#11718447	C₂²	1	1	yes	characteristic, complemented
156	#11718447	C₂²	1	1	yes	characteristic, complemented
157	#11718447	C₂²	1	1	yes	characteristic, complemented
158	#11718447	C₂²	1	1	yes	characteristic, complemented
159	#11718445	C₂²	1	1	yes	characteristic, complemented
160	#11718445	C₂²	1	1	yes	characteristic, complemented
161	#11718438	C₂²	1	1	yes	characteristic, complemented
162	#11718438	C₂²	1	1	yes	characteristic, complemented
163	#11718436	C₂²	1	1	yes	characteristic, complemented
164	#11718436	C₂²	1	1	yes	characteristic, complemented
165	#11718436	C₂²	1	1	yes	characteristic, complemented
166	#11718436	C₂²	1	1	yes	characteristic, complemented
167	#11718434	C₂²	1	1	yes	characteristic, complemented
168	#11718434	C₂²	1	1	yes	characteristic, complemented
169	#11718434	C₂²	1	1	yes	characteristic, complemented
170	#11718434	C₂²	1	1	yes	characteristic, complemented
171	#11718431	C₂²	1	1	yes	characteristic, complemented
172	#11718431	C₂²	1	1	yes	characteristic, complemented
173	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
174	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
175	#11718427	C₂²	1	1	yes	characteristic, complemented
176	#11718427	C₂²	1	1	yes	characteristic, complemented
177	#11718425	C₂²	1	1	yes	characteristic, complemented
178	#11718425	C₂²	1	1	yes	characteristic, complemented
179	#11718422	C₂²	1	1	yes	characteristic, complemented
180	#11718422	C₂²	1	1	yes	characteristic, complemented
181	#11718421	C₂²	1	1	yes	characteristic, complemented
182	#11718421	C₂²	1	1	yes	characteristic, complemented
183	#11718417	C₂²	1	1	yes	characteristic
184	#11718417	C₂²	1	1	yes	characteristic
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718398	C₂²	1	1	yes	characteristic, complemented
189	#11718393	C₂²	1	1	yes	characteristic, complemented
190	#11718393	C₂²	1	1	yes	characteristic, complemented
191	#11718390	C₂²	1	1	yes	characteristic, complemented
192	#11718389	C₂²	1	1	yes	characteristic, complemented
193	#11718386	C₂²	1	1	yes	characteristic, complemented
194	#11718386	C₂²	1	1	yes	characteristic, complemented
195	#11718372	C₂²	1	1	yes	characteristic, complemented
196	#11718372	C₂²	1	1	yes	characteristic, complemented
197	#11718369	C₂²	1	1	yes	characteristic, complemented
198	#11718366	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₂²⋊D₁₃	—	2	1	no	—
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂×#6129	—	2	1	no	—
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	—	2	1	no	—
209	C₂×D₄×D₁₃	—	2	1	no	—
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6127	—	2	1	no	—
215	C₂×#6127	—	2	1	no	—
216	C₂×#6127	—	2	1	no	—
217	C₂²×D₅₂	—	2	1	no	—
218	C₂²×D₅₂	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₁₃	—	2	1	no	—
220	C₂²×C₄×D₁₃	—	2	1	no	—
221	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₁₃×#127	C₂³	1	1	yes	characteristic
226	C₁₃×#125	C₂³	1	1	yes	characteristic
227	C₁₃×#123	—	2	1	no	—
228	C₁₃×#123	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	C₂³	1	1	yes	characteristic
232	C₁₃×#121	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#117	C₂³	1	1	yes	characteristic
242	C₁₃×#117	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
244	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
245	#88207	—	2	1	no	—
246	#88207	—	2	1	no	—
247	#88194	C₂³	1	1	yes	characteristic
248	#88194	C₂³	1	1	yes	characteristic
249	#88194	C₂³	1	1	yes	characteristic
250	#88194	C₂³	1	1	yes	characteristic
251	#88193	—	2	1	no	—
252	#88193	—	2	1	no	—
253	#88193	—	2	1	no	—
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88192	—	2	1	no	—
257	#88192	—	2	1	no	—
258	#88192	—	2	1	no	—
259	#88192	C₂³	1	1	yes	characteristic
260	#88192	C₂³	1	1	yes	characteristic
261	#88192	C₂³	1	1	yes	characteristic
262	#88192	C₂³	1	1	yes	characteristic
263	#88191	—	2	1	no	—
264	#88191	—	2	1	no	—
265	#88191	—	2	1	no	—
266	#88191	—	2	1	no	—
267	#88191	—	2	1	no	—
268	#88191	—	2	1	no	—
269	#88190	—	2	1	no	—
270	#88189	—	2	1	no	—
271	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×#6104	—	2	4	no	—
276	C₂×#6104	C₂³	1	1	yes	characteristic
277	C₂×#6104	C₂³	1	1	yes	characteristic
278	C₂×#6104	C₂³	1	1	yes	characteristic
279	C₂×#6104	C₂³	1	1	yes	characteristic
280	C₂×#6104	C₂³	1	1	yes	characteristic
281	C₂×#6104	C₂³	1	1	yes	characteristic
282	C₂×#6104	C₂³	1	1	yes	characteristic
283	C₂×#6104	C₂³	1	1	yes	characteristic
284	#88184	—	2	1	no	—
285	#88184	—	2	1	no	—
286	#88184	—	2	1	no	—
287	#88184	—	2	1	no	—
288	#88184	C₂³	1	1	yes	characteristic
289	#88184	C₂³	1	1	yes	characteristic
290	#88183	—	2	1	no	—
291	#88183	—	2	1	no	—
292	#88183	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	—	2	1	no	—
300	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
302	C₂×#6103	—	2	1	no	—
303	C₂×#6103	—	2	1	no	—
304	#88180	C₂³	1	1	yes	characteristic
305	#88178	—	2	1	no	—
306	C₂×#6101	—	2	1	no	—
307	C₂×#6099	C₂³	1	1	yes	characteristic
308	C₂²×#1055	C₂³	1	1	yes	characteristic
309	D₈×D₁₃	—	2	4	no	—
310	D₈×D₁₃	—	2	4	no	—
311	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
312	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
313	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
314	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
315	C₂×#6094	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
319	#88152	—	2	1	no	—
320	#88152	D₄	1	1	yes	characteristic
321	#88151	—	2	1	no	—
322	#88150	—	2	1	no	—
323	#88150	—	2	1	no	—
324	#88150	D₄	1	1	yes	characteristic
325	#88149	—	2	1	no	—
326	#88149	C₂³	1	1	yes	characteristic
327	#88149	C₂³	1	1	yes	characteristic
328	#88149	C₂³	1	1	yes	characteristic
329	#88149	C₂³	1	1	yes	characteristic
330	#88148	—	2	1	no	—
331	#88148	—	2	1	no	—
332	#88148	—	2	1	no	—
333	#88148	D₄	1	1	yes	characteristic
334	#88147	—	2	1	no	—
335	#88147	—	2	1	no	—
336	#88147	—	2	1	no	—
337	#88147	C₂³	1	1	yes	characteristic
338	#88147	C₂³	1	1	yes	characteristic
339	#88147	C₂³	1	1	yes	characteristic
340	#88147	C₂³	1	1	yes	characteristic
341	#88146	C₂³	1	1	yes	characteristic
342	#88146	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	#88144	C₂³	1	1	yes	characteristic
347	#88144	C₂³	1	1	yes	characteristic
348	#88143	D₄	1	1	yes	characteristic
349	#88142	C₂³	1	1	yes	characteristic
350	#88142	C₂³	1	1	yes	characteristic
351	#88139	—	2	1	no	—
352	#88139	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88139	D₄	1	1	yes	characteristic
356	#88138	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	—	2	1	no	—
363	#88138	—	2	1	no	—
364	#88138	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88138	—	2	1	no	—
367	#88138	—	2	1	no	—
368	#88138	—	2	1	no	—
369	#88138	D₄	1	1	yes	characteristic
370	#88137	—	2	1	no	—
371	#88137	—	2	1	no	—
372	#88137	—	2	1	no	—
373	#88137	D₄	1	1	yes	characteristic
374	#88136	—	2	1	no	—
375	#88136	—	2	1	no	—
376	#88136	—	2	1	no	—
377	#88136	—	2	1	no	—
378	#88135	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88135	—	2	1	no	—
382	#88135	—	2	1	no	—
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	C₂²⋊C₄×D₁₃	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	—	2	1	no	—
386	C₂²⋊C₄×D₁₃	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	#88133	—	2	1	no	—
390	#88133	—	2	1	no	—
391	#88133	D₄	1	1	yes	characteristic
392	#88132	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88131	—	2	1	no	—
395	#88130	—	2	1	no	—
396	#88129	—	2	1	no	—
397	#88128	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	—	2	1	no	—
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic
402	C₄×D₅₂	C₂³	1	1	yes	characteristic
403	C₄×D₅₂	C₂³	1	1	yes	characteristic
404	C₄×D₅₂	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	#88126	—	2	1	no	—
407	#88126	C₂³	1	1	yes	characteristic
408	C₄²×D₁₃	C₂³	1	1	yes	characteristic
409	#88124	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×#102	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×#97	C₂³	1	1	yes	characteristic
428	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88058	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic
451	#88057	C₂³	1	1	yes	characteristic
452	#88057	C₂³	1	1	yes	characteristic
453	#88055	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	#88049	C₂³	1	1	yes	characteristic
462	#88049	C₂³	1	1	yes	characteristic
463	#88049	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88043	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	C₄×#1055	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61480	—	13	1	no	maximal, Sylow
482	C₂⁴×C₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂×D₄×C₁₃	—	2	2	no	—
489	C₂×D₄×C₁₃	—	2	1	no	—
490	C₂×D₄×C₁₃	—	2	1	no	—
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	4	1	no	—
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	8	2	no	—
525	C₂×C₂²⋊D₁₃	—	8	2	no	—
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	—	2	1	no	—
532	#6129	—	8	2	no	—
533	D₄×D₁₃	—	2	2	no	—
534	D₄×D₁₃	—	2	2	no	—
535	D₄×D₁₃	—	2	2	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	4	1	no	—
538	D₄×D₁₃	—	4	1	no	—
539	D₄×D₁₃	—	4	1	no	—
540	D₄×D₁₃	—	4	1	no	—
541	D₄×D₁₃	—	8	2	no	—
542	D₄×D₁₃	—	8	2	no	—
543	D₄×D₁₃	—	8	2	no	—
544	#6127	—	8	2	no	—
545	#6127	—	8	2	no	—
546	#6127	—	8	2	no	—
547	C₂×D₅₂	—	2	2	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	—	2	1	no	—
552	C₂×D₅₂	—	2	1	no	—
553	C₂×D₅₂	—	2	1	no	—
554	C₂×D₅₂	—	2	1	no	—
555	C₂×D₅₂	—	4	1	no	—
556	C₂×D₅₂	—	8	2	no	—
557	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
560	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
561	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	8	2	no	—
575	C₂×C₄×D₁₃	—	8	2	no	—
576	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
583	C₁₃×D₈	—	2	2	no	—
584	C₁₃×D₈	—	2	2	no	—
585	C₁₃×D₈	—	4	1	no	—
586	C₁₃×D₈	—	4	1	no	—
587	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₄²×C₁₃	—	2	1	no	—
611	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
623	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
624	#6104	—	2	2	no	—
625	#6104	—	2	2	no	—
626	#6104	—	2	2	no	—
627	#6104	—	2	2	no	—
628	#6104	—	2	2	no	—
629	#6104	—	4	1	no	—
630	#6104	—	4	1	no	—
631	#6104	#41	1	4	yes	complemented
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	C₂×D₄	1	1	yes	characteristic
651	#6103	C₂×D₄	1	1	yes	characteristic
652	#6103	C₂×D₄	1	1	yes	characteristic
653	#6103	C₂×D₄	1	1	yes	characteristic
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₁₃	—	2	1	no	—
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
660	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	C₂×D₄	1	1	yes	characteristic
673	#6101	C₂×D₄	1	1	yes	characteristic
674	#6101	C₂×D₄	1	1	yes	characteristic
675	#6101	C₂×D₄	1	1	yes	characteristic
676	#6101	C₂×D₄	1	1	yes	characteristic
677	#6101	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
685	#6099	—	4	1	no	—
686	C₂×#1055	—	2	2	no	—
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	D₁₀₄	—	2	2	no	—
692	D₁₀₄	—	2	2	no	—
693	D₁₀₄	—	4	1	no	—
694	D₁₀₄	—	4	1	no	—
695	#6094	—	4	1	no	—
696	C₈×D₁₃	—	2	2	no	—
697	C₈×D₁₃	—	2	2	no	—
698	C₈×D₁₃	—	4	1	no	—
699	#3519	—	13	1	no	—
700	#3519	—	13	1	no	—
701	#3391	—	13	1	no	—
702	#3380	—	13	1	no	—
703	#3366	—	13	1	no	—
704	#3366	—	13	1	no	—
705	#3341	—	13	1	no	—
706	#3339	—	13	1	no	—
707	#3339	—	13	1	no	—
708	#3325	—	13	1	no	—
709	#3325	—	13	1	no	—
710	#3318	—	13	1	no	—
711	#3318	—	13	1	no	—
712	#3318	—	13	1	no	—
713	#3318	—	13	1	no	—
714	D₄×D₈	—	13	1	no	—
715	D₄×D₈	—	13	1	no	—
716	D₄×D₈	—	13	1	no	—
717	#3176	—	13	1	no	—
718	#3176	—	13	1	no	—
719	#3169	—	13	1	no	—
720	#3122	—	13	1	no	—
721	#3122	—	13	1	no	—
722	#3122	—	13	1	no	—
723	#3122	D₁₃	1	1	yes	characteristic, complemented
724	#3109	—	13	1	no	—
725	#3109	—	13	1	no	—
726	#2966	—	13	1	no	—
727	#2948	—	13	1	no	—
728	#2948	—	13	1	no	—
729	C₂×C₄×D₈	—	13	1	no	—
730	C₂³×C₁₃	—	2	1	no	—
731	C₂³×C₁₃	—	2	1	no	—
732	C₂³×C₁₃	—	2	1	no	—
733	C₂³×C₁₃	—	2	1	no	—
734	C₂³×C₁₃	—	4	2	no	—
735	C₂³×C₁₃	—	8	1	no	—
736	C₂³×C₁₃	—	8	1	no	—
737	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂²×D₁₃	—	2	1	no	—
739	C₂²×D₁₃	—	2	1	no	—
740	C₂²×D₁₃	—	2	1	no	—
741	C₂²×D₁₃	—	2	1	no	—
742	C₂²×D₁₃	—	4	2	no	—
743	C₂²×D₁₃	—	4	2	no	—
744	C₂²×D₁₃	—	4	2	no	—
745	C₂²×D₁₃	—	4	2	no	—
746	C₂²×D₁₃	—	4	2	no	—
747	C₂²×D₁₃	—	4	2	no	—
748	C₂²×D₁₃	—	4	2	no	—
749	C₂²×D₁₃	—	8	1	no	—
750	C₂²×D₁₃	—	8	1	no	—
751	C₂²×D₁₃	—	8	1	no	—
752	C₂²×D₁₃	—	8	1	no	—
753	C₂²×D₁₃	—	8	1	no	—
754	C₂²×D₁₃	—	8	1	no	—
755	C₂²×D₁₃	—	8	1	no	—
756	C₂²×D₁₃	—	8	1	no	—
757	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	2	1	no	—
766	D₄×C₁₃	—	4	2	no	—
767	D₄×C₁₃	—	8	1	no	—
768	D₄×C₁₃	—	8	1	no	—
769	D₄×C₁₃	—	8	1	no	—
770	D₄×C₁₃	—	8	1	no	—
771	D₄×C₁₃	C₂×#41	1	2	yes	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	—	8	1	no	—
780	C₂×C₄×C₁₃	—	8	1	no	—
781	C₂×C₄×C₁₃	—	8	1	no	—
782	C₂×C₄×C₁₃	—	8	1	no	—
783	C₂×C₄×C₁₃	—	8	1	no	—
784	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
790	C₂²⋊D₁₃	—	2	2	no	—
791	C₂²⋊D₁₃	—	2	2	no	—
792	C₂²⋊D₁₃	—	4	2	no	—
793	C₂²⋊D₁₃	—	4	2	no	—
794	C₂²⋊D₁₃	—	4	2	no	—
795	C₂²⋊D₁₃	—	4	2	no	—
796	C₂²⋊D₁₃	—	4	2	no	—
797	C₂²⋊D₁₃	—	4	2	no	—
798	C₂²⋊D₁₃	—	4	2	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	8	1	no	—
801	C₂²⋊D₁₃	—	8	1	no	—
802	C₂²⋊D₁₃	—	8	1	no	—
803	C₂²⋊D₁₃	—	8	1	no	—
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂²⋊D₁₃	—	8	1	no	—
809	C₂²⋊D₁₃	—	8	1	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	1	no	—
813	C₂×Dic₁₃	—	2	1	no	—
814	C₂×Dic₁₃	—	4	2	no	—
815	C₂×Dic₁₃	—	4	2	no	—
816	C₂×Dic₁₃	—	8	1	no	—
817	C₂×Dic₁₃	—	8	1	no	—
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
824	D₅₂	—	2	2	no	—
825	D₅₂	—	2	1	no	—
826	D₅₂	—	2	1	no	—
827	D₅₂	—	2	1	no	—
828	D₅₂	—	2	1	no	—
829	D₅₂	—	2	1	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	4	2	no	—
833	D₅₂	—	4	2	no	—
834	D₅₂	—	4	2	no	—
835	D₅₂	—	8	1	no	—
836	D₅₂	—	8	1	no	—
837	D₅₂	—	8	1	no	—
838	D₅₂	—	8	1	no	—
839	D₅₂	C₂×#41	1	2	yes	—
840	C₄×D₁₃	—	2	2	no	—
841	C₄×D₁₃	—	2	1	no	—
842	C₄×D₁₃	—	2	1	no	—
843	C₄×D₁₃	—	2	1	no	—
844	C₄×D₁₃	—	2	1	no	—
845	C₄×D₁₃	—	2	2	no	—
846	C₄×D₁₃	—	4	2	no	—
847	C₄×D₁₃	—	4	2	no	—
848	C₄×D₁₃	—	8	1	no	—
849	C₄×D₁₃	—	8	1	no	—
850	C₄×D₁₃	—	8	1	no	—
851	C₄×D₁₃	—	8	1	no	—
852	C₄×D₁₃	—	8	1	no	—
853	C₄×D₁₃	—	8	1	no	—
854	C₄×D₁₃	—	8	1	no	—
855	C₄×D₁₃	—	8	1	no	—
856	C₄×D₁₃	—	8	1	no	—
857	C₄×D₁₃	—	8	1	no	—
858	Dic₂₆	—	2	2	no	—
859	Dic₂₆	—	8	1	no	—
860	Dic₂₆	—	8	1	no	—
861	C₈×C₁₃	—	2	1	no	—
862	C₈×C₁₃	—	2	1	no	—
863	C₈×C₁₃	—	2	1	no	—
864	C₈×C₁₃	—	2	1	no	—
865	#1055	—	2	1	no	—
866	#1055	—	2	1	no	—
867	#1055	—	2	1	no	—
868	#1055	C₂×#41	1	2	yes	—
869	C₂²×D₈	—	13	1	no	—
870	C₂²×D₈	—	13	1	no	—
871	C₂²×D₈	—	13	1	no	—
872	#555	—	13	1	no	—
873	#555	—	13	1	no	—
874	#554	—	13	1	no	—
875	#554	—	13	1	no	—
876	#553	—	13	1	no	—
877	#553	—	13	1	no	—
878	#553	—	13	1	no	—
879	#553	—	13	1	no	—
880	#553	—	26	1	no	—
881	#553	—	26	1	no	—
882	#550	—	13	1	no	—
883	#550	—	13	1	no	—
884	#546	—	26	1	no	—
885	#546	—	26	1	no	—
886	#546	—	26	1	no	—
887	#546	—	26	1	no	—
888	#546	—	26	1	no	—
889	#546	—	26	1	no	—
890	D₄²	—	13	1	no	—
891	D₄²	—	13	1	no	—
892	D₄²	—	13	1	no	—
893	D₄²	—	13	1	no	—
894	D₄²	—	13	1	no	—
895	D₄²	—	13	1	no	—
896	#540	—	13	1	no	—
897	#540	—	13	1	no	—
898	#540	—	13	1	no	—
899	#540	C₂×D₁₃	1	1	yes	characteristic, complemented
900	#538	—	26	1	no	—
901	#538	—	26	1	no	—
902	#538	—	26	1	no	—
903	#538	—	26	1	no	—
904	#532	—	13	1	no	—
905	#532	—	13	1	no	—
906	#529	—	13	1	no	—
907	#525	—	26	1	no	—
908	#525	—	26	1	no	—
909	C₂×#121	—	26	1	no	—
910	C₂×#121	—	26	1	no	—
911	#518	—	13	1	no	—
912	#518	—	13	1	no	—
913	#518	—	13	1	no	—
914	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
915	C₂×C₄×D₄	—	13	1	no	—
916	C₂×C₄×D₄	—	13	1	no	—
917	#500	—	13	1	no	—
918	#499	—	13	1	no	—
919	#499	—	13	1	no	—
920	#493	—	13	1	no	—
921	#493	—	13	1	no	—
922	#493	—	13	1	no	—
923	#490	—	13	1	no	—
924	#490	—	13	1	no	—
925	#490	—	13	1	no	—
926	#490	—	13	1	no	—
927	#486	—	13	1	no	—
928	#486	—	13	1	no	—
929	#482	—	13	1	no	—
930	#482	—	13	1	no	—
931	#482	—	13	1	no	—
932	#482	—	13	1	no	—
933	#482	—	13	1	no	—
934	#482	—	13	1	no	—
935	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
936	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
937	#481	—	13	1	no	—
938	#481	—	13	1	no	—
939	#481	—	13	1	no	—
940	#481	—	13	1	no	—
941	#478	—	13	1	no	—
942	#478	—	13	1	no	—
943	#478	—	13	1	no	—
944	#478	—	13	1	no	—
945	#478	—	13	1	no	—
946	#478	—	13	1	no	—
947	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#476	—	13	1	no	—
950	#476	—	13	1	no	—
951	#476	—	13	1	no	—
952	#476	—	13	1	no	—
953	#469	—	13	1	no	—
954	#469	—	13	1	no	—
955	#469	—	13	1	no	—
956	#469	—	13	1	no	—
957	#466	—	13	1	no	—
958	#466	—	13	1	no	—
959	#466	—	13	1	no	—
960	#466	—	13	1	no	—
961	#466	—	13	1	no	—
962	#466	—	13	1	no	—
963	#466	—	13	1	no	—
964	#466	—	13	1	no	—
965	#459	—	13	1	no	—
966	#459	—	13	1	no	—
967	#459	—	13	1	no	—
968	#459	—	13	1	no	—
969	#459	—	13	1	no	—
970	#459	—	13	1	no	—
971	#459	—	13	1	no	—
972	#459	—	13	1	no	—
973	#459	—	13	1	no	—
974	#459	—	13	1	no	—
975	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
976	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
977	#447	—	13	1	no	—
978	#447	—	13	1	no	—
979	#447	—	13	1	no	—
980	#447	—	13	1	no	—
981	#447	—	13	1	no	—
982	#447	—	13	1	no	—
983	#447	—	13	1	no	—
984	#447	—	13	1	no	—
985	#447	—	13	1	no	—
986	#447	—	13	1	no	—
987	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
988	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#446	—	13	1	no	—
990	C₈×Q₈	—	13	1	no	—
991	#442	—	13	1	no	—
992	#442	—	13	1	no	—
993	#442	—	13	1	no	—
994	#442	—	13	1	no	—
995	#442	—	13	1	no	—
996	#442	—	13	1	no	—
997	#442	—	13	1	no	—
998	#442	—	13	1	no	—
999	#442	—	13	1	no	—
1000	#442	—	13	1	no	—
1001	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	C₄×D₈	—	13	1	no	—
1004	C₄×D₈	—	13	1	no	—
1005	C₄×D₈	—	13	1	no	—
1006	C₄×D₈	—	13	1	no	—
1007	C₄×D₈	—	13	1	no	—
1008	C₄×D₈	—	13	1	no	—
1009	C₄×D₈	—	13	1	no	—
1010	C₄×D₈	—	13	1	no	—
1011	C₄×D₈	—	13	1	no	—
1012	C₄×D₈	—	13	1	no	—
1013	C₄×D₈	—	13	1	no	—
1014	C₄×D₈	—	13	1	no	—
1015	C₄×D₈	—	13	1	no	—
1016	C₄×D₈	—	13	1	no	—
1017	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1019	#436	—	13	1	no	—
1020	#435	—	13	1	no	—
1021	#435	—	13	1	no	—
1022	C₈×D₄	—	13	1	no	—
1023	C₈×D₄	—	13	1	no	—
1024	C₈×D₄	—	13	1	no	—
1025	#433	—	13	1	no	—
1026	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#432	—	13	1	no	—
1028	#427	—	13	1	no	—
1029	#427	—	13	1	no	—
1030	C₂×#107	—	13	1	no	—
1031	#418	—	13	1	no	—
1032	#418	—	13	1	no	—
1033	#418	—	13	1	no	—
1034	#418	—	13	1	no	—
1035	C₂×#102	—	13	1	no	—
1036	C₂×#102	—	13	1	no	—
1037	#405	—	13	1	no	—
1038	#405	—	13	1	no	—
1039	C₂×C₄×C₈	—	13	1	no	—
1040	C₂²×C₁₃	—	2	2	no	—
1041	C₂²×C₁₃	—	2	1	no	—
1042	C₂²×C₁₃	—	2	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	4	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	—	4	1	no	—
1053	C₂²×C₁₃	—	4	1	no	—
1054	C₂²×C₁₃	—	4	1	no	—
1055	C₂²×C₁₃	—	16	2	no	—
1056	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1057	C₂×D₁₃	—	2	1	no	—
1058	C₂×D₁₃	—	2	1	no	—
1059	C₂×D₁₃	—	2	1	no	—
1060	C₂×D₁₃	—	2	2	no	—
1061	C₂×D₁₃	—	2	1	no	—
1062	C₂×D₁₃	—	2	1	no	—
1063	C₂×D₁₃	—	4	1	no	—
1064	C₂×D₁₃	—	4	1	no	—
1065	C₂×D₁₃	—	4	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	4	1	no	—
1068	C₂×D₁₃	—	4	1	no	—
1069	C₂×D₁₃	—	4	1	no	—
1070	C₂×D₁₃	—	4	1	no	—
1071	C₂×D₁₃	—	4	1	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	8	4	no	—
1075	C₂×D₁₃	—	8	4	no	—
1076	C₂×D₁₃	—	16	2	no	—
1077	C₂×D₁₃	—	16	2	no	—
1078	C₂×D₁₃	—	16	2	no	—
1079	C₂×D₁₃	#576	1	2	yes	—
1080	C₄×C₁₃	—	2	1	no	—
1081	C₄×C₁₃	—	2	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	4	1	no	—
1086	C₄×C₁₃	—	4	1	no	—
1087	C₄×C₁₃	—	4	1	no	—
1088	C₄×C₁₃	—	4	1	no	—
1089	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1090	C₄×C₁₃	#585	1	1	yes	characteristic
1091	Dic₁₃	—	2	1	no	—
1092	Dic₁₃	—	2	1	no	—
1093	Dic₁₃	—	2	1	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	2	1	no	—
1096	Dic₁₃	—	4	1	no	—
1097	Dic₁₃	—	4	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	Dic₁₃	#576	1	2	yes	—
1101	C₂×#41	—	26	1	no	—
1102	C₂×#41	—	26	1	no	—
1103	C₂×#41	—	26	1	no	—
1104	C₂×#41	—	26	1	no	—
1105	C₂²×D₄	—	13	1	no	—
1106	C₂²×D₄	—	13	1	no	—
1107	C₂²×D₄	—	13	1	no	—
1108	C₂²×D₄	—	13	1	no	—
1109	C₂²×D₄	—	13	1	no	—
1110	C₂²×D₄	—	26	1	no	—
1111	C₂²×D₄	—	26	1	no	—
1112	C₂²×D₄	—	26	1	no	—
1113	C₂²×D₄	—	26	1	no	—
1114	C₂²×D₄	—	26	1	no	—
1115	C₂²×D₄	—	26	1	no	—
1116	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂³×C₄	—	26	1	no	—
1118	C₂³×C₄	—	26	1	no	—
1119	C₂×D₈	—	13	1	no	—
1120	C₂×D₈	—	13	1	no	—
1121	C₂×D₈	—	13	1	no	—
1122	C₂×D₈	—	13	1	no	—
1123	C₂×D₈	—	13	1	no	—
1124	C₂×D₈	—	13	1	no	—
1125	C₂×D₈	—	13	1	no	—
1126	C₂×D₈	—	13	1	no	—
1127	C₂×D₈	—	13	1	no	—
1128	C₂×D₈	—	13	1	no	—
1129	C₂×D₈	—	13	1	no	—
1130	C₂×D₈	—	13	1	no	—
1131	C₂×D₈	—	26	4	no	—
1132	C₂×D₈	—	26	4	no	—
1133	C₂×D₈	—	26	4	no	—
1134	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1135	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1136	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×M₁₆	—	13	1	no	—
1139	C₂×M₁₆	—	13	1	no	—
1140	C₂²×C₈	—	13	1	no	—
1141	C₂²×C₈	—	13	1	no	—
1142	C₂²×C₈	—	13	1	no	—
1143	C₂²×C₈	—	13	1	no	—
1144	C₄⋊Q₈	—	13	1	no	—
1145	C₄⋊Q₈	—	13	1	no	—
1146	#127	—	13	1	no	—
1147	#127	—	13	1	no	—
1148	#127	—	13	1	no	—
1149	#127	—	13	1	no	—
1150	#127	—	13	1	no	—
1151	#127	C₂²×D₁₃	1	1	yes	characteristic
1152	#126	—	13	1	no	—
1153	#126	—	13	1	no	—
1154	#126	—	26	1	no	—
1155	#126	—	26	1	no	—
1156	#126	—	26	1	no	—
1157	#126	—	26	1	no	—
1158	#125	—	13	1	no	—
1159	#125	—	13	1	no	—
1160	#125	—	13	1	no	—
1161	#125	—	13	1	no	—
1162	#125	C₂²×D₁₃	1	1	yes	characteristic
1163	#124	—	13	1	no	—
1164	#124	—	26	1	no	—
1165	#124	—	26	1	no	—
1166	#124	—	26	1	no	—
1167	#124	—	26	1	no	—
1168	#124	—	26	1	no	—
1169	#124	—	26	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	13	1	no	—
1173	#123	—	13	1	no	—
1174	#123	—	26	1	no	—
1175	#123	—	26	1	no	—
1176	#123	—	26	1	no	—
1177	#123	—	26	1	no	—
1178	#123	—	26	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	#123	—	26	1	no	—
1183	#123	—	26	1	no	—
1184	C₂²⋊Q₈	—	13	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	C₂²⋊Q₈	—	26	1	no	—
1189	C₂²⋊Q₈	—	26	1	no	—
1190	C₂²⋊Q₈	—	26	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	2	1	no	—
1193	#121	—	13	1	no	—
1194	#121	—	13	1	no	—
1195	#121	—	13	1	no	—
1196	#121	—	13	1	no	—
1197	#121	—	13	1	no	—
1198	#121	—	13	1	no	—
1199	#121	—	13	1	no	—
1200	#121	—	13	1	no	—
1201	#121	—	13	1	no	—
1202	#121	—	13	1	no	—
1203	#121	—	13	1	no	—
1204	#121	—	26	1	no	—
1205	#121	—	26	1	no	—
1206	#121	—	26	1	no	—
1207	#121	—	26	1	no	—
1208	#121	—	26	1	no	—
1209	#121	—	26	1	no	—
1210	#121	—	26	1	no	—
1211	#121	—	26	1	no	—
1212	#121	—	26	1	no	—
1213	#121	—	26	1	no	—
1214	#121	—	26	1	no	—
1215	#121	—	26	1	no	—
1216	#121	—	26	1	no	—
1217	#121	—	26	1	no	—
1218	#121	—	26	1	no	—
1219	#121	—	26	1	no	—
1220	#121	—	26	1	no	—
1221	#121	—	26	1	no	—
1222	#121	—	26	1	no	—
1223	#121	—	26	1	no	—
1224	#121	—	26	1	no	—
1225	#121	—	26	1	no	—
1226	#121	—	26	1	no	—
1227	#121	—	26	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	C₂²×D₁₃	1	1	yes	characteristic
1231	#121	C₂²×D₁₃	1	1	yes	characteristic
1232	#120	—	26	1	no	—
1233	#120	—	26	1	no	—
1234	#120	—	26	1	no	—
1235	#120	—	26	1	no	—
1236	#120	—	26	1	no	—
1237	#120	—	26	1	no	—
1238	#120	—	26	1	no	—
1239	#120	—	26	1	no	—
1240	#120	—	26	1	no	—
1241	#120	—	26	1	no	—
1242	#120	—	26	1	no	—
1243	#120	—	26	1	no	—
1244	C₄×Q₈	—	13	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	13	1	no	—
1248	C₄×D₄	—	13	1	no	—
1249	C₄×D₄	—	13	1	no	—
1250	C₄×D₄	—	13	1	no	—
1251	C₄×D₄	—	13	1	no	—
1252	C₄×D₄	—	13	1	no	—
1253	C₄×D₄	—	13	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	26	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1281	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1282	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1283	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1284	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1285	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1286	#117	—	13	1	no	—
1287	#117	—	13	1	no	—
1288	#117	—	13	1	no	—
1289	#117	—	13	1	no	—
1290	#117	—	26	1	no	—
1291	#117	—	26	1	no	—
1292	#117	C₂²×D₁₃	1	1	yes	characteristic
1293	#117	C₂²×D₁₃	1	1	yes	characteristic
1294	C₂×C₄⋊C₄	—	13	1	no	—
1295	C₂×C₄⋊C₄	—	13	1	no	—
1296	C₂×C₄⋊C₄	—	26	1	no	—
1297	C₂×C₄⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	2	1	no	—
1299	C₂×C₂²⋊C₄	—	2	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₂²⋊C₄	—	26	1	no	—
1303	C₂×C₂²⋊C₄	—	26	1	no	—
1304	C₂×C₂²⋊C₄	—	26	1	no	—
1305	C₂×C₂²⋊C₄	—	26	1	no	—
1306	C₂×C₂²⋊C₄	—	26	1	no	—
1307	C₂×C₂²⋊C₄	—	26	1	no	—
1308	C₂×C₄²	—	13	1	no	—
1309	#107	—	13	1	no	—
1310	#107	—	13	1	no	—
1311	#107	—	13	1	no	—
1312	#107	—	13	1	no	—
1313	#107	—	13	1	no	—
1314	#107	—	13	1	no	—
1315	#107	C₂²×D₁₃	1	1	yes	characteristic
1316	#107	C₂²×D₁₃	1	1	yes	characteristic
1317	#106	—	13	1	no	—
1318	#106	—	13	1	no	—
1319	#106	—	13	1	no	—
1320	#106	—	13	1	no	—
1321	#106	—	13	1	no	—
1322	#106	—	13	1	no	—
1323	#106	C₂²×D₁₃	1	1	yes	characteristic
1324	#106	C₂²×D₁₃	1	1	yes	characteristic
1325	C₄⋊C₈	—	13	1	no	—
1326	C₄⋊C₈	—	13	1	no	—
1327	C₄⋊C₈	—	13	1	no	—
1328	C₄⋊C₈	—	13	1	no	—
1329	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1330	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	C₂²×D₁₃	1	1	yes	characteristic
1356	#102	C₂²×D₁₃	1	1	yes	characteristic
1357	#102	C₂²×D₁₃	1	1	yes	characteristic
1358	#102	C₂²×D₁₃	1	1	yes	characteristic
1359	#102	C₂²×D₁₃	1	1	yes	characteristic
1360	#102	C₂²×D₁₃	1	1	yes	characteristic
1361	#102	C₂²×D₁₃	1	1	yes	characteristic
1362	#102	C₂²×D₁₃	1	1	yes	characteristic
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	—	13	1	no	—
1365	C₂²⋊C₈	—	13	1	no	—
1366	C₂²⋊C₈	—	13	1	no	—
1367	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1368	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1369	#97	—	13	1	no	—
1370	#97	—	13	1	no	—
1371	#97	—	13	1	no	—
1372	#97	C₂²×D₁₃	1	1	yes	characteristic
1373	C₄×C₈	—	13	1	no	—
1374	C₄×C₈	—	13	1	no	—
1375	C₄×C₈	—	13	1	no	—
1376	C₄×C₈	—	13	1	no	—
1377	C₄×C₈	—	13	1	no	—
1378	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1379	C₂×C₁₃	—	4	2	no	—
1380	C₂×C₁₃	—	4	1	no	—
1381	C₂×C₁₃	—	8	1	no	—
1382	C₂×C₁₃	—	8	1	no	—
1383	C₂×C₁₃	—	8	1	no	—
1384	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1385	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1386	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1387	D₁₃	—	2	2	no	—
1388	D₁₃	—	4	1	no	—
1389	D₁₃	—	4	2	no	—
1390	D₁₃	—	8	1	no	—
1391	D₁₃	—	8	1	no	—
1392	D₁₃	—	8	1	no	—
1393	C₂⁴	—	2	1	no	—
1394	C₂⁴	—	26	1	no	—
1395	C₂⁴	—	26	1	no	—
1396	C₂⁴	—	26	1	no	—
1397	C₂⁴	—	26	1	no	—
1398	C₂⁴	—	26	1	no	—
1399	#41	—	104	2	no	—
1400	#41	—	104	2	no	—
1401	#41	—	104	2	no	—
1402	#41	—	104	2	no	—
1403	C₂×Q₈	—	13	1	no	—
1404	C₂×Q₈	—	26	1	no	—
1405	C₂×Q₈	—	26	1	no	—
1406	C₂×D₄	—	2	2	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	4	1	no	—
1413	C₂×D₄	—	13	1	no	—
1414	C₂×D₄	—	13	1	no	—
1415	C₂×D₄	—	13	1	no	—
1416	C₂×D₄	—	13	1	no	—
1417	C₂×D₄	—	13	1	no	—
1418	C₂×D₄	—	13	1	no	—
1419	C₂×D₄	—	13	1	no	—
1420	C₂×D₄	—	26	2	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	1	no	—
1426	C₂×D₄	—	26	1	no	—
1427	C₂×D₄	—	26	1	no	—
1428	C₂×D₄	—	26	1	no	—
1429	C₂×D₄	—	26	1	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	26	1	no	—
1434	C₂×D₄	—	26	1	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	—	26	2	no	—
1438	C₂×D₄	—	26	2	no	—
1439	C₂×D₄	—	26	2	no	—
1440	C₂×D₄	—	26	2	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	1	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	52	1	no	—
1451	C₂×D₄	—	52	1	no	—
1452	C₂×D₄	—	52	1	no	—
1453	C₂×D₄	—	52	1	no	—
1454	C₂×D₄	—	52	1	no	—
1455	C₂×D₄	—	104	2	no	—
1456	C₂×D₄	—	104	2	no	—
1457	C₂×D₄	—	104	2	no	—
1458	C₂×D₄	—	104	2	no	—
1459	C₂×D₄	—	104	2	no	—
1460	C₂×D₄	—	104	2	no	—
1461	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1462	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1463	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1464	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	—	26	1	no	—
1477	C₂²×C₄	—	26	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	104	2	no	—
1492	C₂²×C₄	—	104	2	no	—
1493	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1494	D₈	—	2	2	no	—
1495	D₈	—	2	2	no	—
1496	D₈	—	4	1	no	—
1497	D₈	—	4	1	no	—
1498	D₈	—	13	4	no	—
1499	D₈	—	26	2	no	—
1500	D₈	—	26	2	no	—
1501	D₈	—	26	2	no	—
1502	D₈	—	26	2	no	—
1503	D₈	—	26	2	no	—
1504	D₈	—	26	2	no	—
1505	D₈	—	26	2	no	—
1506	D₈	—	52	1	no	—
1507	D₈	—	52	1	no	—
1508	D₈	—	52	1	no	—
1509	D₈	—	52	1	no	—
1510	M₁₆	—	52	1	no	—
1511	M₁₆	—	52	1	no	—
1512	C₂×C₈	—	13	1	no	—
1513	C₂×C₈	—	13	1	no	—
1514	C₂×C₈	—	13	1	no	—
1515	C₂×C₈	—	13	1	no	—
1516	C₂×C₈	—	26	2	no	—
1517	C₂×C₈	—	26	2	no	—
1518	C₂×C₈	—	26	2	no	—
1519	C₂×C₈	—	52	1	no	—
1520	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1521	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1523	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	13	1	no	—
1527	C₄⋊C₄	—	13	1	no	—
1528	C₄⋊C₄	—	13	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	13	1	no	—
1536	C₄⋊C₄	—	13	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1549	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1550	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1551	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1552	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1553	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	13	1	no	—
1564	C₂²⋊C₄	—	13	1	no	—
1565	C₂²⋊C₄	—	13	1	no	—
1566	C₂²⋊C₄	—	13	1	no	—
1567	C₂²⋊C₄	—	13	1	no	—
1568	C₂²⋊C₄	—	13	1	no	—
1569	C₂²⋊C₄	—	13	1	no	—
1570	C₂²⋊C₄	—	13	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1599	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1600	C₄²	—	2	1	no	—
1601	C₄²	—	13	1	no	—
1602	C₄²	—	13	1	no	—
1603	C₄²	—	13	1	no	—
1604	C₄²	—	13	1	no	—
1605	C₄²	—	26	1	no	—
1606	C₄²	—	26	1	no	—
1607	C₄²	—	26	1	no	—
1608	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1609	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1610	C₁₃	#61480	1	1	yes	characteristic, complemented, Sylow
1611	C₂³	—	2	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	4	2	no	—
1616	C₂³	—	8	1	no	—
1617	C₂³	—	8	1	no	—
1618	C₂³	—	13	1	no	—
1619	C₂³	—	13	1	no	—
1620	C₂³	—	26	1	no	—
1621	C₂³	—	26	1	no	—
1622	C₂³	—	26	1	no	—
1623	C₂³	—	26	1	no	—
1624	C₂³	—	52	2	no	—
1625	C₂³	—	52	2	no	—
1626	C₂³	—	52	2	no	—
1627	C₂³	—	52	2	no	—
1628	C₂³	—	52	2	no	—
1629	C₂³	—	52	2	no	—
1630	C₂³	—	52	2	no	—
1631	C₂³	—	104	1	no	—
1632	C₂³	—	104	1	no	—
1633	C₂³	—	104	1	no	—
1634	C₂³	—	104	1	no	—
1635	C₂³	—	104	1	no	—
1636	C₂³	—	104	1	no	—
1637	C₂³	—	104	1	no	—
1638	C₂³	—	104	1	no	—
1639	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1640	Q₈	—	26	2	no	—
1641	Q₈	—	104	1	no	—
1642	Q₈	—	104	1	no	—
1643	D₄	—	2	1	no	—
1644	D₄	—	2	1	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	2	1	no	—
1650	D₄	—	4	2	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	1	no	—
1655	D₄	—	13	2	no	—
1656	D₄	—	26	2	no	—
1657	D₄	—	26	2	no	—
1658	D₄	—	26	2	no	—
1659	D₄	—	26	1	no	—
1660	D₄	—	26	1	no	—
1661	D₄	—	26	1	no	—
1662	D₄	—	26	1	no	—
1663	D₄	—	26	1	no	—
1664	D₄	—	26	1	no	—
1665	D₄	—	26	1	no	—
1666	D₄	—	52	2	no	—
1667	D₄	—	52	2	no	—
1668	D₄	—	52	2	no	—
1669	D₄	—	52	2	no	—
1670	D₄	—	52	2	no	—
1671	D₄	—	52	2	no	—
1672	D₄	—	52	2	no	—
1673	D₄	—	52	2	no	—
1674	D₄	—	52	2	no	—
1675	D₄	—	52	2	no	—
1676	D₄	—	52	2	no	—
1677	D₄	—	104	1	no	—
1678	D₄	—	104	1	no	—
1679	D₄	—	104	1	no	—
1680	D₄	—	104	1	no	—
1681	D₄	—	104	1	no	—
1682	D₄	—	104	1	no	—
1683	D₄	—	104	1	no	—
1684	D₄	—	104	1	no	—
1685	D₄	—	104	1	no	—
1686	D₄	—	104	1	no	—
1687	D₄	—	104	1	no	—
1688	D₄	—	104	1	no	—
1689	D₄	—	104	1	no	—
1690	D₄	—	104	1	no	—
1691	D₄	#41×D₁₃	1	2	yes	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	8	1	no	—
1699	C₂×C₄	—	8	1	no	—
1700	C₂×C₄	—	8	1	no	—
1701	C₂×C₄	—	8	1	no	—
1702	C₂×C₄	—	8	1	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	13	1	no	—
1705	C₂×C₄	—	13	1	no	—
1706	C₂×C₄	—	13	1	no	—
1707	C₂×C₄	—	13	1	no	—
1708	C₂×C₄	—	13	1	no	—
1709	C₂×C₄	—	13	1	no	—
1710	C₂×C₄	—	26	2	no	—
1711	C₂×C₄	—	26	2	no	—
1712	C₂×C₄	—	26	1	no	—
1713	C₂×C₄	—	26	1	no	—
1714	C₂×C₄	—	26	1	no	—
1715	C₂×C₄	—	26	1	no	—
1716	C₂×C₄	—	26	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	52	2	no	—
1721	C₂×C₄	—	52	2	no	—
1722	C₂×C₄	—	52	2	no	—
1723	C₂×C₄	—	52	2	no	—
1724	C₂×C₄	—	104	1	no	—
1725	C₂×C₄	—	104	1	no	—
1726	C₂×C₄	—	104	1	no	—
1727	C₂×C₄	—	104	1	no	—
1728	C₂×C₄	—	104	1	no	—
1729	C₂×C₄	—	104	1	no	—
1730	C₂×C₄	—	104	1	no	—
1731	C₂×C₄	—	104	1	no	—
1732	C₂×C₄	—	104	1	no	—
1733	C₂×C₄	—	104	1	no	—
1734	C₂×C₄	—	104	1	no	—
1735	C₂×C₄	—	104	1	no	—
1736	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1737	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1738	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1739	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1740	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1741	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1742	C₈	—	2	1	no	—
1743	C₈	—	2	1	no	—
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	13	2	no	—
1747	C₈	—	26	1	no	—
1748	C₈	—	26	1	no	—
1749	C₈	—	26	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	2	no	—
1754	C₂²	—	4	1	no	—
1755	C₂²	—	4	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	13	2	no	—
1766	C₂²	—	16	2	no	—
1767	C₂²	—	26	1	no	—
1768	C₂²	—	26	1	no	—
1769	C₂²	—	26	1	no	—
1770	C₂²	—	26	1	no	—
1771	C₂²	—	26	1	no	—
1772	C₂²	—	26	2	no	—
1773	C₂²	—	52	1	no	—
1774	C₂²	—	52	1	no	—
1775	C₂²	—	52	1	no	—
1776	C₂²	—	52	1	no	—
1777	C₂²	—	52	1	no	—
1778	C₂²	—	52	1	no	—
1779	C₂²	—	52	1	no	—
1780	C₂²	—	52	1	no	—
1781	C₂²	—	52	1	no	—
1782	C₂²	—	52	1	no	—
1783	C₂²	—	52	1	no	—
1784	C₂²	—	104	4	no	—
1785	C₂²	—	104	4	no	—
1786	C₂²	—	208	2	no	—
1787	C₂²	—	208	2	no	—
1788	C₂²	—	208	2	no	—
1789	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	2	1	no	—
1795	C₄	—	4	1	no	—
1796	C₄	—	4	1	no	—
1797	C₄	—	4	1	no	—
1798	C₄	—	4	1	no	—
1799	C₄	—	13	2	no	—
1800	C₄	—	26	1	no	—
1801	C₄	—	26	1	no	—
1802	C₄	—	26	1	no	—
1803	C₄	—	26	1	no	—
1804	C₄	—	26	1	no	—
1805	C₄	—	52	1	no	—
1806	C₄	—	52	1	no	—
1807	C₄	—	52	1	no	—
1808	C₄	—	52	1	no	—
1809	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1810	C₄	#11719648	1	1	yes	characteristic
1811	C₂	—	4	1	no	—
1812	C₂	—	4	2	no	—
1813	C₂	—	8	1	no	—
1814	C₂	—	8	1	no	—
1815	C₂	—	8	1	no	—
1816	C₂	—	26	2	no	—
1817	C₂	—	52	1	no	—
1818	C₂	—	52	2	no	—
1819	C₂	—	104	1	no	—
1820	C₂	—	104	1	no	—
1821	C₂	—	104	1	no	—
1822	C₂	#13128319	1	1	yes	characteristic
1823	C₂	D₁₃×#576	1	1	yes	characteristic
1824	C₂	D₁₃×#576	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3122	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3122	D₁₃
hypocenter	C₁₃	#61480
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3122

Complements

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

N	H ≅ G/N	type
1. #13128866	C₂	semidirect
2. #13128858	C₂	semidirect
3. #13127807	C₂	semidirect
4. #13127698	C₂	semidirect
5. #13127546	C₂	semidirect
6. #13127538	C₂	semidirect
7. #13127253	C₂	semidirect
8. #13127235	C₂	semidirect
9. #13127231	C₂	semidirect
10. #13127076	C₂	semidirect
11. #13127071	C₂	semidirect
12. #13126984	C₂	semidirect
13. #13126980	C₂	semidirect
14. #13126974	C₂	semidirect
15. #13126970	C₂	semidirect
16. #13126508	C₂	semidirect
17. #13126506	C₂	semidirect
18. #13126506	C₂	semidirect
19. #13125484	C₂	semidirect
20. #13125480	C₂	semidirect
21. #13125412	C₂	semidirect
22. #13125080	C₂	semidirect
23. #13125076	C₂	semidirect
24. #13125076	C₂	semidirect
25. #13124925	C₂	semidirect
26. #13124925	C₂	semidirect
27. #13123809	C₂	semidirect
28. #13123686	C₂	semidirect
29. #13123685	C₂	semidirect
30. C₄×D₈×D₁₃	C₂	semidirect
31. C₁₃×#3122	C₂	semidirect
32. C₁₃×#540	C₂²	semidirect
33. C₁₃×#518	C₂²	semidirect
34. D₄×C₂²⋊D₁₃	C₂²	semidirect
35. D₄×C₂²⋊D₁₃	C₂²	semidirect
39. #11719423	C₂²	semidirect
40. #11719422	C₂²	semidirect
41. #11719400	C₂²	semidirect
42. #11719395	C₂²	semidirect
47. #11719321	C₂²	semidirect
48. #11719319	C₂²	semidirect
52. #11719314	C₂²	semidirect
53. #11719314	C₂²	semidirect
55. #11719267	C₂²	semidirect
56. #11719267	C₂²	semidirect
58. #11719263	C₂²	semidirect
59. #11719258	C₂²	semidirect
61. D₄×D₅₂	C₂²	semidirect
62. #11719253	C₂²	semidirect
63. #11719253	C₂²	semidirect
65. #11719250	C₂²	semidirect
66. #11719250	C₂²	semidirect
67. C₄×D₄×D₁₃	C₂²	semidirect
68. C₄×D₄×D₁₃	C₂²	semidirect
70. #11719244	C₂²	semidirect
71. #11719240	C₂²	semidirect
72. #11719237	C₂²	semidirect
73. #11719235	C₂²	semidirect
75. #11719226	C₂²	semidirect
80. C₁₃×#482	C₂²	semidirect
81. C₁₃×#482	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#459	C₂²	semidirect
85. C₁₃×#459	C₂²	semidirect
86. C₁₃×#447	C₂²	semidirect
87. C₁₃×#447	C₂²	semidirect
88. C₁₃×#442	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
90. C₄×C₁₃×D₈	C₂²	semidirect
91. C₄×C₁₃×D₈	C₂²	semidirect
92. C₁₃×#433	C₂²	semidirect
93. #11718876	C₂²	semidirect
94. #11718820	C₂²	semidirect
95. #11718818	C₂²	semidirect
96. #11718817	C₂²	semidirect
97. #11718817	C₂²	semidirect
98. #11718817	C₂²	semidirect
99. #11718817	C₂²	semidirect
100. #11718813	C₂²	semidirect
101. #11718812	C₂²	semidirect
102. #11718812	C₂²	semidirect
103. #11718811	C₂²	semidirect
104. #11718811	C₂²	semidirect
105. #11718811	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718734	C₂²	semidirect
109. #11718732	C₂²	semidirect
110. #11718728	C₂²	semidirect
111. #11718725	C₂²	semidirect
112. #11718700	C₂²	semidirect
113. #11718700	C₂²	semidirect
114. #11718699	C₂²	semidirect
115. #11718699	C₂²	semidirect
116. #11718675	C₂²	semidirect
117. #11718675	C₂²	semidirect
118. #11718675	C₂²	semidirect
119. #11718675	C₂²	semidirect
120. #11718675	C₂²	semidirect
121. #11718675	C₂²	semidirect
124. C₄×#6104	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. C₄×#6104	C₂²	semidirect
127. C₄×#6104	C₂²	semidirect
128. #11718662	C₂²	semidirect
129. #11718659	C₂²	semidirect
130. #11718658	C₂²	semidirect
131. #11718552	C₂²	semidirect
132. #11718552	C₂²	semidirect
133. #11718546	C₂²	semidirect
134. #11718546	C₂²	semidirect
135. #11718544	C₂²	semidirect
136. D₁₃×#107	C₂²	semidirect
137. #11718535	C₂²	semidirect
138. #11718533	C₂²	semidirect
139. #11718531	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718530	C₂²	semidirect
142. #11718526	C₂²	semidirect
143. #11718524	C₂²	semidirect
144. #11718524	C₂²	semidirect
145. #11718521	C₂²	semidirect
146. #11718519	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718508	C₂²	semidirect
149. #11718504	C₂²	semidirect
150. #11718504	C₂²	semidirect
151. #11718497	C₂²	semidirect
152. #11718495	C₂²	semidirect
153. #11718491	C₂²	semidirect
154. #11718489	C₂²	semidirect
155. #11718447	C₂²	semidirect
156. #11718447	C₂²	semidirect
157. #11718447	C₂²	semidirect
158. #11718447	C₂²	semidirect
159. #11718445	C₂²	semidirect
160. #11718445	C₂²	semidirect
161. #11718438	C₂²	semidirect
162. #11718438	C₂²	semidirect
163. #11718436	C₂²	semidirect
164. #11718436	C₂²	semidirect
165. #11718436	C₂²	semidirect
166. #11718436	C₂²	semidirect
167. #11718434	C₂²	semidirect
168. #11718434	C₂²	semidirect
169. #11718434	C₂²	semidirect
170. #11718434	C₂²	semidirect
171. #11718431	C₂²	semidirect
172. #11718431	C₂²	semidirect
173. D₁₃×#102	C₂²	semidirect
174. D₁₃×#102	C₂²	semidirect
175. #11718427	C₂²	semidirect
176. #11718427	C₂²	semidirect
177. #11718425	C₂²	semidirect
178. #11718425	C₂²	semidirect
179. #11718422	C₂²	semidirect
180. #11718422	C₂²	semidirect
181. #11718421	C₂²	semidirect
182. #11718421	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718398	C₂²	semidirect
188. #11718398	C₂²	semidirect
189. #11718393	C₂²	semidirect
190. #11718393	C₂²	semidirect
191. #11718390	C₂²	semidirect
192. #11718389	C₂²	semidirect
193. #11718386	C₂²	semidirect
194. #11718386	C₂²	semidirect
195. #11718372	C₂²	semidirect
196. #11718372	C₂²	semidirect
197. #11718369	C₂²	semidirect
198. #11718366	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
631. #6104	#41	semidirect
723. #3122	D₁₃	semidirect
899. #540	C₂×D₁₃	semidirect
914. #518	C₂×D₁₃	semidirect
935. #482	C₂×D₁₃	semidirect
936. #482	C₂×D₁₃	semidirect
947. #478	C₂×D₁₃	semidirect
948. #478	C₂×D₁₃	semidirect
975. #459	C₂×D₁₃	semidirect
976. #459	C₂×D₁₃	semidirect
987. #447	C₂×D₁₃	semidirect
988. #447	C₂×D₁₃	semidirect
1001. #442	C₂×D₁₃	semidirect
1002. #442	C₂×D₁₃	semidirect
1017. C₄×D₈	C₂×D₁₃	semidirect
1018. C₄×D₈	C₂×D₁₃	semidirect
1026. #433	C₂×D₁₃	semidirect
1610. C₁₃	#61480	semidirect

Maximal subgroups

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

subgroup	index
#13128866	2
#13128858	2
#13127807	2
#13127698	2
#13127546	2
#13127538	2
#13127253	2
#13127235	2
#13127231	2
#13127076	2
#13127071	2
#13126984	2
#13126980	2
#13126974	2
#13126970	2
#13126508	2
#13126506	2
#13125484	2
#13125480	2
#13125412	2
#13125080	2
#13125076	2
#13124925	2
#13123809	2
#13123686	2
#13123685	2
C₄×D₈×D₁₃	2
C₁₃×#3122	2
#61480	13