Subgroups — #16747698

Order 3328.

2206 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128862	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126779	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126757	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126734	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126731	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126708	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126682	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126679	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126656	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126589	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126564	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126546	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126543	C₂	1	1	yes	maximal, characteristic, complemented
15	SD₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126521	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126519	C₂	1	1	yes	maximal, characteristic, complemented
18	D₈×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125809	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125767	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125629	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125626	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125601	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125599	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124889	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124847	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124054	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124051	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123858	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
37	#11719539	C₂²	1	1	yes	characteristic, complemented
38	#11719537	—	2	1	no	—
39	#11719537	C₂²	1	1	yes	characteristic, complemented
40	#11719536	C₂²	1	1	yes	characteristic, complemented
41	#11719534	—	2	1	no	—
42	#11719534	C₂²	1	1	yes	characteristic, complemented
43	#11719533	—	2	1	no	—
44	#11719533	C₂²	1	1	yes	characteristic, complemented
45	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
46	#11719529	—	2	1	no	—
47	#11719529	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
50	#11719522	C₂²	1	1	yes	characteristic, complemented
51	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
52	#11719511	—	2	1	no	—
53	#11719511	—	2	1	no	—
54	#11719511	C₂²	1	1	yes	characteristic, complemented
55	#11719511	C₂²	1	1	yes	characteristic, complemented
56	D₄×C₂²⋊D₁₃	—	2	1	no	—
57	D₄×C₂²⋊D₁₃	—	2	1	no	—
58	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
59	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
60	#11719496	—	2	1	no	—
61	#11719496	C₂²	1	1	yes	characteristic, complemented
62	#11719496	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₂²⋊D₁₃	—	2	1	no	—
64	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
65	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
66	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
67	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
68	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
69	#11719321	C₂²	1	1	yes	characteristic, complemented
70	#11719320	—	2	1	no	—
71	#11719319	C₂²	1	1	yes	characteristic, complemented
72	#11719318	—	2	1	no	—
73	#11719317	C₂²	1	1	yes	characteristic, complemented
74	#11719315	—	2	1	no	—
75	#11719311	C₂²	1	1	yes	characteristic, complemented
76	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
77	#11719306	—	2	1	no	—
78	#11719305	C₂²	1	1	yes	characteristic, complemented
79	#11719304	C₂²	1	1	yes	characteristic, complemented
80	#11719301	C₂²	1	1	yes	characteristic, complemented
81	#11719219	C₂²	1	1	yes	characteristic, complemented
82	#11719216	C₂²	1	1	yes	characteristic
83	#11719199	—	2	1	no	—
84	#11719191	—	2	1	no	—
85	C₁₃×#449	C₂²	1	1	yes	characteristic
86	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718900	C₂²	1	1	yes	characteristic, complemented
98	#11718899	C₂²	1	1	yes	characteristic, complemented
99	#11718899	C₂²	1	1	yes	characteristic, complemented
100	#11718894	C₂²	1	1	yes	characteristic, complemented
101	#11718894	C₂²	1	1	yes	characteristic, complemented
102	#11718889	C₂²	1	1	yes	characteristic, complemented
103	#11718888	C₂²	1	1	yes	characteristic, complemented
104	#11718879	C₂²	1	1	yes	characteristic, complemented
105	#11718879	C₂²	1	1	yes	characteristic, complemented
106	#11718878	C₂²	1	1	yes	characteristic, complemented
107	#11718878	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
109	#11718836	C₂²	1	1	yes	characteristic, complemented
110	#11718834	C₂²	1	1	yes	characteristic, complemented
111	#11718833	C₂²	1	1	yes	characteristic, complemented
112	#11718832	C₂²	1	1	yes	characteristic, complemented
113	#11718832	C₂²	1	1	yes	characteristic, complemented
114	#11718831	C₂²	1	1	yes	characteristic, complemented
115	#11718830	C₂²	1	1	yes	characteristic, complemented
116	#11718829	C₂²	1	1	yes	characteristic, complemented
117	#11718827	C₂²	1	1	yes	characteristic, complemented
118	#11718826	C₂²	1	1	yes	characteristic, complemented
119	#11718824	C₂²	1	1	yes	characteristic, complemented
120	#11718823	C₂²	1	1	yes	characteristic, complemented
121	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
122	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	#11718819	C₂²	1	1	yes	characteristic, complemented
124	#11718819	C₂²	1	1	yes	characteristic, complemented
125	#11718818	C₂²	1	1	yes	characteristic, complemented
126	#11718818	C₂²	1	1	yes	characteristic, complemented
127	#11718817	C₂²	1	1	yes	characteristic, complemented
128	#11718817	C₂²	1	1	yes	characteristic, complemented
129	#11718816	C₂²	1	1	yes	characteristic, complemented
130	#11718814	C₂²	1	1	yes	characteristic, complemented
131	#11718814	C₂²	1	1	yes	characteristic, complemented
132	#11718812	C₂²	1	1	yes	characteristic, complemented
133	#11718811	C₂²	1	1	yes	characteristic, complemented
134	#11718811	C₂²	1	1	yes	characteristic, complemented
135	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
136	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
137	#11718777	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	#11718775	C₂²	1	1	yes	characteristic, complemented
140	#11718775	C₂²	1	1	yes	characteristic, complemented
141	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
142	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
143	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
145	#11718702	C₂²	1	1	yes	characteristic, complemented
146	#11718702	C₂²	1	1	yes	characteristic, complemented
147	#11718699	C₂²	1	1	yes	characteristic, complemented
148	#11718699	C₂²	1	1	yes	characteristic, complemented
149	#11718698	C₂²	1	1	yes	characteristic, complemented
150	#11718698	C₂²	1	1	yes	characteristic, complemented
151	#11718696	C₂²	1	1	yes	characteristic, complemented
152	#11718696	C₂²	1	1	yes	characteristic, complemented
153	#11718631	C₂²	1	1	yes	characteristic, complemented
154	#11718629	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718475	C₂²	1	1	yes	characteristic, complemented
157	#11718474	C₂²	1	1	yes	characteristic, complemented
158	#11718472	C₂²	1	1	yes	characteristic, complemented
159	#11718470	C₂²	1	1	yes	characteristic, complemented
160	#11718469	C₂²	1	1	yes	characteristic, complemented
161	#11718468	C₂²	1	1	yes	characteristic, complemented
162	#11718465	C₂²	1	1	yes	characteristic, complemented
163	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
164	#11718461	C₂²	1	1	yes	characteristic, complemented
165	#11718457	C₂²	1	1	yes	characteristic, complemented
166	#11718455	C₂²	1	1	yes	characteristic, complemented
167	#11718454	C₂²	1	1	yes	characteristic, complemented
168	#11718453	C₂²	1	1	yes	characteristic, complemented
169	#11718451	C₂²	1	1	yes	characteristic, complemented
170	#11718449	C₂²	1	1	yes	characteristic, complemented
171	#11718448	C₂²	1	1	yes	characteristic, complemented
172	#11718442	C₂²	1	1	yes	characteristic, complemented
173	#11718440	C₂²	1	1	yes	characteristic, complemented
174	#11718439	C₂²	1	1	yes	characteristic, complemented
175	#11718438	C₂²	1	1	yes	characteristic, complemented
176	#11718437	C₂²	1	1	yes	characteristic, complemented
177	#11718436	C₂²	1	1	yes	characteristic, complemented
178	#11718433	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
180	#11718429	C₂²	1	1	yes	characteristic, complemented
181	#11718424	C₂²	1	1	yes	characteristic, complemented
182	#11718423	C₂²	1	1	yes	characteristic, complemented
183	#11718422	C₂²	1	1	yes	characteristic, complemented
184	#11718421	C₂²	1	1	yes	characteristic, complemented
185	#11718419	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	#11718395	C₂²	1	1	yes	characteristic, complemented
190	#11718395	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718386	C₂²	1	1	yes	characteristic, complemented
194	#11718386	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#11718384	C₂²	1	1	yes	characteristic, complemented
200	#11718384	C₂²	1	1	yes	characteristic, complemented
201	#11718379	C₂²	1	1	yes	characteristic, complemented
202	#11718379	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	—	4	2	no	—
206	C₂×C₁₃×#41	—	4	2	no	—
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₁₃	—	2	1	no	—
213	C₂²×D₄×C₁₃	—	2	1	no	—
214	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₁₃	—	2	1	no	—
217	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
218	C₂²×C₂²⋊D₁₃	—	2	1	no	—
219	C₂²×C₂²⋊D₁₃	—	2	1	no	—
220	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
221	#41×D₁₃	—	4	2	no	—
222	#41×D₁₃	—	4	2	no	—
223	C₂×#6131	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×#6129	—	2	1	no	—
226	C₂×#6129	—	2	1	no	—
227	C₂×#6129	C₂³	1	1	yes	characteristic
228	C₂×#6129	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	—	2	1	no	—
230	C₂×D₄×D₁₃	—	2	1	no	—
231	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂×#6127	—	2	1	no	—
234	C₂×#6127	C₂³	1	1	yes	characteristic
235	C₂×#6127	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₁₃	—	2	1	no	—
237	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	—	4	2	no	—
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×D₈	—	4	2	no	—
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
248	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×#121	—	2	1	no	—
251	C₁₃×#121	—	2	1	no	—
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	1	yes	characteristic
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₁₃×#121	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
258	#88207	—	2	1	no	—
259	#88207	—	2	1	no	—
260	#88207	—	2	1	no	—
261	#88207	—	2	1	no	—
262	#88207	—	2	1	no	—
263	#88207	—	2	1	no	—
264	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
265	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
266	C₂×C₂²⋊Dic₁₃	D₄	1	1	yes	characteristic
267	#88204	—	4	2	no	—
268	#88204	—	4	2	no	—
269	#88201	—	2	1	no	—
270	#88201	C₂³	1	1	yes	characteristic
271	#88200	—	2	1	no	—
272	#88200	—	2	1	no	—
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
276	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	#88198	—	2	1	no	—
278	#88198	C₂³	1	1	yes	characteristic
279	C₂×#6107	C₂³	1	1	yes	characteristic
280	C₂×#6107	C₂³	1	1	yes	characteristic
281	C₂×#6106	C₂³	1	1	yes	characteristic
282	C₂×#6106	C₂³	1	1	yes	characteristic
283	#88194	—	2	1	no	—
284	#88194	—	2	1	no	—
285	#88194	C₂³	1	1	yes	characteristic
286	#88194	C₂³	1	1	yes	characteristic
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88193	—	2	1	no	—
295	#88193	—	2	1	no	—
296	#88193	—	2	1	no	—
297	#88193	—	2	1	no	—
298	#88193	—	2	1	no	—
299	#88192	—	2	1	no	—
300	#88192	—	2	1	no	—
301	#88192	—	2	1	no	—
302	#88192	—	2	1	no	—
303	#88192	C₂³	1	1	yes	characteristic
304	#88192	C₂³	1	1	yes	characteristic
305	#88192	C₂³	1	1	yes	characteristic
306	#88192	C₂³	1	1	yes	characteristic
307	#88191	—	2	1	no	—
308	#88191	—	2	1	no	—
309	#88191	—	2	1	no	—
310	#88191	—	2	1	no	—
311	#88191	—	2	1	no	—
312	#88191	—	2	1	no	—
313	#88190	—	2	1	no	—
314	#88190	—	2	1	no	—
315	#88190	C₂³	1	1	yes	characteristic
316	#88190	C₂³	1	1	yes	characteristic
317	#88189	—	2	1	no	—
318	#88189	—	2	1	no	—
319	#88189	—	2	1	no	—
320	#88189	—	2	1	no	—
321	#88189	—	2	1	no	—
322	#88189	—	2	1	no	—
323	D₄×Dic₁₃	—	2	1	no	—
324	D₄×Dic₁₃	—	2	1	no	—
325	D₄×Dic₁₃	—	2	1	no	—
326	D₄×Dic₁₃	—	2	1	no	—
327	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
328	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
329	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
330	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic
334	C₂×#6105	C₂³	1	1	yes	characteristic
335	C₂×#6104	C₂³	1	1	yes	characteristic
336	C₂×#6104	C₂³	1	1	yes	characteristic
337	C₂×#6104	C₂³	1	1	yes	characteristic
338	C₂×#6104	C₂³	1	1	yes	characteristic
339	#88184	—	2	1	no	—
340	#88184	—	2	1	no	—
341	#88184	—	2	1	no	—
342	#88184	C₂³	1	1	yes	characteristic
343	#88184	C₂³	1	1	yes	characteristic
344	#88184	C₂³	1	1	yes	characteristic
345	#88184	C₂³	1	1	yes	characteristic
346	#88183	—	2	1	no	—
347	#88183	—	2	1	no	—
348	#88183	—	2	1	no	—
349	#88183	—	2	1	no	—
350	C₄×C₂²⋊D₁₃	—	2	1	no	—
351	C₄×C₂²⋊D₁₃	—	2	1	no	—
352	C₄×C₂²⋊D₁₃	—	2	1	no	—
353	C₄×C₂²⋊D₁₃	—	2	1	no	—
354	C₄×C₂²⋊D₁₃	—	2	1	no	—
355	C₄×C₂²⋊D₁₃	—	2	1	no	—
356	C₄×C₂²⋊D₁₃	—	2	1	no	—
357	C₄×C₂²⋊D₁₃	—	2	1	no	—
358	C₄×C₂²⋊D₁₃	—	2	1	no	—
359	C₄×C₂²⋊D₁₃	—	2	1	no	—
360	C₄×C₂²⋊D₁₃	—	2	1	no	—
361	C₄×C₂²⋊D₁₃	—	2	1	no	—
362	C₄×C₂²⋊D₁₃	—	2	1	no	—
363	C₄×C₂²⋊D₁₃	—	2	1	no	—
364	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
365	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
366	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
367	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
368	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
369	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
370	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
371	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
372	C₂×#6103	—	2	1	no	—
373	C₂×#6103	D₄	1	1	yes	characteristic
374	#88180	—	2	1	no	—
375	#88180	C₂³	1	1	yes	characteristic
376	#88180	C₂³	1	1	yes	characteristic
377	#88178	—	2	1	no	—
378	#88178	—	2	1	no	—
379	#88178	—	2	1	no	—
380	#88178	C₂³	1	1	yes	characteristic
381	#88178	C₂³	1	1	yes	characteristic
382	#88178	C₂³	1	1	yes	characteristic
383	#88178	C₂³	1	1	yes	characteristic
384	C₂×#6101	—	2	1	no	—
385	C₂×#6101	D₄	1	1	yes	characteristic
386	C₂×C₄×Dic₁₃	—	2	1	no	—
387	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
388	C₂²×#1055	C₂³	1	1	yes	characteristic
389	C₂²×#1055	C₂³	1	1	yes	characteristic
390	#88170	—	4	2	no	—
391	SD₁₆×D₁₃	—	4	2	no	—
392	#88166	—	4	2	no	—
393	D₈×D₁₃	—	4	2	no	—
394	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
395	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
396	C₂×#6095	C₂³	1	1	yes	characteristic
397	C₂×#6095	C₂³	1	1	yes	characteristic
398	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
399	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
400	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
401	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
402	#88152	—	2	1	no	—
403	#88151	C₂³	1	1	yes	characteristic
404	#88150	—	2	1	no	—
405	#88149	C₂³	1	1	yes	characteristic
406	#88148	—	2	1	no	—
407	#88147	C₂³	1	1	yes	characteristic
408	#88146	C₂³	1	1	yes	characteristic
409	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
410	#88144	C₂³	1	1	yes	characteristic
411	#88143	—	2	1	no	—
412	#88142	C₂³	1	1	yes	characteristic
413	#88141	C₂³	1	1	yes	characteristic
414	#88139	—	2	1	no	—
415	#88139	—	2	1	no	—
416	#88138	—	2	1	no	—
417	#88138	—	2	1	no	—
418	#88137	—	2	1	no	—
419	#88137	—	2	1	no	—
420	#88135	—	2	1	no	—
421	#88135	—	2	1	no	—
422	#88135	—	2	1	no	—
423	#88135	—	2	1	no	—
424	C₂²⋊C₄×D₁₃	—	2	1	no	—
425	C₂²⋊C₄×D₁₃	—	2	1	no	—
426	#88133	—	2	1	no	—
427	#88133	—	2	1	no	—
428	#88131	—	2	1	no	—
429	#88131	—	2	1	no	—
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	C₂²⋊#1055	C₂³	1	1	yes	characteristic
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88058	C₂³	1	1	yes	characteristic
467	#88058	C₂³	1	1	yes	characteristic
468	#88057	C₂³	1	1	yes	characteristic
469	#88057	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88054	C₂³	1	1	yes	characteristic
475	#88054	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
481	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88050	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic
485	#88049	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88048	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#61567	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	2	2	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	4	no	—
506	C₁₃×#41	—	4	4	no	—
507	C₂×Q₈×C₁₃	—	2	1	no	—
508	C₂×Q₈×C₁₃	—	2	2	no	—
509	C₂×Q₈×C₁₃	—	4	1	no	—
510	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	2	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	4	1	no	—
524	C₂×D₄×C₁₃	—	4	1	no	—
525	C₂×D₄×C₁₃	—	4	1	no	—
526	C₂×D₄×C₁₃	—	4	4	no	—
527	C₂×D₄×C₁₃	—	8	2	no	—
528	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	4	1	no	—
539	C₂²×C₄×C₁₃	—	4	1	no	—
540	C₂²×C₄×C₁₃	—	4	4	no	—
541	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₁₃	—	2	4	no	—
548	C₂×C₂²⋊D₁₃	—	2	1	no	—
549	C₂×C₂²⋊D₁₃	—	2	1	no	—
550	C₂×C₂²⋊D₁₃	—	2	1	no	—
551	C₂×C₂²⋊D₁₃	—	2	1	no	—
552	C₂×C₂²⋊D₁₃	—	2	1	no	—
553	C₂×C₂²⋊D₁₃	—	2	1	no	—
554	C₂×C₂²⋊D₁₃	—	2	1	no	—
555	C₂×C₂²⋊D₁₃	—	2	1	no	—
556	C₂×C₂²⋊D₁₃	—	2	1	no	—
557	C₂×C₂²⋊D₁₃	—	2	1	no	—
558	C₂×C₂²⋊D₁₃	—	2	1	no	—
559	C₂×C₂²⋊D₁₃	—	2	1	no	—
560	C₂×C₂²⋊D₁₃	—	2	1	no	—
561	C₂×C₂²⋊D₁₃	—	2	1	no	—
562	C₂×C₂²⋊D₁₃	—	2	1	no	—
563	C₂×C₂²⋊D₁₃	—	2	1	no	—
564	C₂×C₂²⋊D₁₃	—	2	1	no	—
565	C₂×C₂²⋊D₁₃	—	2	1	no	—
566	C₂×C₂²⋊D₁₃	—	4	4	no	—
567	C₂×C₂²⋊D₁₃	—	4	4	no	—
568	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
569	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂²×Dic₁₃	—	2	1	no	—
573	C₂²×Dic₁₃	—	2	1	no	—
574	C₂²×Dic₁₃	—	2	1	no	—
575	C₂²×Dic₁₃	—	2	1	no	—
576	C₂²×Dic₁₃	—	2	1	no	—
577	C₂²×Dic₁₃	—	2	1	no	—
578	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
581	#6131	—	2	2	no	—
582	#6131	—	4	1	no	—
583	Q₈×D₁₃	—	2	2	no	—
584	Q₈×D₁₃	—	4	1	no	—
585	#6129	—	2	2	no	—
586	#6129	—	4	1	no	—
587	#6129	—	4	1	no	—
588	#6129	—	4	1	no	—
589	#6129	—	4	4	no	—
590	#6129	—	8	2	no	—
591	D₄×D₁₃	—	2	2	no	—
592	D₄×D₁₃	—	4	1	no	—
593	D₄×D₁₃	—	4	1	no	—
594	D₄×D₁₃	—	4	1	no	—
595	D₄×D₁₃	—	4	4	no	—
596	D₄×D₁₃	—	8	2	no	—
597	#6127	—	4	1	no	—
598	#6127	—	4	1	no	—
599	#6127	—	4	1	no	—
600	#6127	—	4	1	no	—
601	#6127	—	4	4	no	—
602	C₂×D₅₂	—	2	1	no	—
603	C₂×D₅₂	—	2	1	no	—
604	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
605	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₁₃	—	2	1	no	—
607	C₂×C₄×D₁₃	—	2	1	no	—
608	C₂×C₄×D₁₃	—	2	1	no	—
609	C₂×C₄×D₁₃	—	2	1	no	—
610	C₂×C₄×D₁₃	—	2	1	no	—
611	C₂×C₄×D₁₃	—	2	1	no	—
612	C₂×C₄×D₁₃	—	4	1	no	—
613	C₂×C₄×D₁₃	—	4	1	no	—
614	C₂×C₄×D₁₃	—	4	4	no	—
615	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×Dic₂₆	—	2	1	no	—
620	C₂×Dic₂₆	—	2	1	no	—
621	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
623	C₁₃×SD₁₆	—	2	2	no	—
624	C₁₃×SD₁₆	—	2	2	no	—
625	C₁₃×SD₁₆	—	4	1	no	—
626	C₁₃×SD₁₆	—	4	1	no	—
627	C₁₃×D₈	—	2	2	no	—
628	C₁₃×D₈	—	2	2	no	—
629	C₁₃×D₈	—	4	1	no	—
630	C₁₃×D₈	—	4	1	no	—
631	C₂×C₈×C₁₃	—	4	1	no	—
632	C₂×C₈×C₁₃	—	4	1	no	—
633	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	—	2	1	no	—
638	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	#6107	—	2	2	no	—
667	#6107	—	4	1	no	—
668	#6106	—	2	2	no	—
669	#6106	—	4	1	no	—
670	#6105	—	2	2	no	—
671	#6105	—	4	1	no	—
672	#6105	—	4	1	no	—
673	#6105	—	4	1	no	—
674	#6104	—	2	2	no	—
675	#6104	—	4	1	no	—
676	#6104	—	4	1	no	—
677	#6104	—	4	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	C₂×D₄	1	1	yes	characteristic
691	#6103	C₂×D₄	1	1	yes	characteristic
692	#6103	C₂×D₄	1	1	yes	characteristic
693	#6103	C₂×D₄	1	1	yes	characteristic
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	—	2	1	no	—
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
701	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	C₂×D₄	1	1	yes	characteristic
715	#6101	C₂×D₄	1	1	yes	characteristic
716	#6101	C₂×D₄	1	1	yes	characteristic
717	#6101	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
725	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
726	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
727	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
728	C₂×#1055	—	4	1	no	—
729	C₂×#1055	—	4	1	no	—
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	Dic₅₂	—	4	1	no	—
735	D₁₀₄	—	4	1	no	—
736	#6095	—	4	1	no	—
737	#6095	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	C₈×D₁₃	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3519	—	13	1	no	—
743	D₄×#41	—	13	1	no	—
744	#3305	—	13	1	no	—
745	#3303	—	13	1	no	—
746	#3301	—	13	1	no	—
747	#3301	—	13	1	no	—
748	#3299	—	13	1	no	—
749	#3297	—	13	1	no	—
750	#3297	—	13	1	no	—
751	#3295	—	13	1	no	—
752	#3287	—	13	1	no	—
753	#3284	—	13	1	no	—
754	#3282	—	13	1	no	—
755	#3282	—	13	1	no	—
756	D₄×SD₁₆	—	13	1	no	—
757	#3280	—	13	1	no	—
758	#3280	—	13	1	no	—
759	D₄×D₈	—	13	1	no	—
760	#3212	—	13	1	no	—
761	#3207	—	13	1	no	—
762	#3191	—	13	1	no	—
763	#3191	—	13	1	no	—
764	#3188	—	13	1	no	—
765	#3188	—	13	1	no	—
766	#3106	—	13	1	no	—
767	#3102	—	13	1	no	—
768	#3002	—	13	1	no	—
769	#3002	—	13	1	no	—
770	C₂×#449	—	13	1	no	—
771	C₂×#449	D₁₃	1	1	yes	characteristic, complemented
772	#2972	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	2	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	2	1	no	—
777	C₂³×C₁₃	—	2	1	no	—
778	C₂³×C₁₃	—	4	1	no	—
779	C₂³×C₁₃	—	4	1	no	—
780	C₂³×C₁₃	—	4	2	no	—
781	C₂³×C₁₃	—	4	2	no	—
782	C₂³×C₁₃	—	4	2	no	—
783	C₂³×C₁₃	—	8	1	no	—
784	C₂³×C₁₃	—	8	1	no	—
785	C₂³×C₁₃	—	8	1	no	—
786	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂²×D₁₃	—	2	2	no	—
790	C₂²×D₁₃	—	2	1	no	—
791	C₂²×D₁₃	—	2	1	no	—
792	C₂²×D₁₃	—	4	1	no	—
793	C₂²×D₁₃	—	4	1	no	—
794	C₂²×D₁₃	—	4	2	no	—
795	C₂²×D₁₃	—	4	2	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	—	8	1	no	—
800	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
802	Q₈×C₁₃	—	2	1	no	—
803	Q₈×C₁₃	—	2	1	no	—
804	Q₈×C₁₃	—	2	1	no	—
805	Q₈×C₁₃	—	4	2	no	—
806	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
807	D₄×C₁₃	—	2	4	no	—
808	D₄×C₁₃	—	2	1	no	—
809	D₄×C₁₃	—	2	1	no	—
810	D₄×C₁₃	—	2	1	no	—
811	D₄×C₁₃	—	2	1	no	—
812	D₄×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	4	2	no	—
816	D₄×C₁₃	—	4	2	no	—
817	D₄×C₁₃	—	4	2	no	—
818	D₄×C₁₃	—	4	2	no	—
819	D₄×C₁₃	—	4	2	no	—
820	D₄×C₁₃	—	4	2	no	—
821	D₄×C₁₃	—	8	1	no	—
822	D₄×C₁₃	—	8	1	no	—
823	D₄×C₁₃	—	8	1	no	—
824	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
825	C₂×C₄×C₁₃	—	2	4	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	2	1	no	—
831	C₂×C₄×C₁₃	—	2	1	no	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	4	1	no	—
837	C₂×C₄×C₁₃	—	4	1	no	—
838	C₂×C₄×C₁₃	—	4	1	no	—
839	C₂×C₄×C₁₃	—	4	2	no	—
840	C₂×C₄×C₁₃	—	4	2	no	—
841	C₂×C₄×C₁₃	—	4	2	no	—
842	C₂×C₄×C₁₃	—	4	2	no	—
843	C₂×C₄×C₁₃	—	8	1	no	—
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
848	C₂²⋊D₁₃	—	2	2	no	—
849	C₂²⋊D₁₃	—	2	2	no	—
850	C₂²⋊D₁₃	—	2	2	no	—
851	C₂²⋊D₁₃	—	4	2	no	—
852	C₂²⋊D₁₃	—	4	2	no	—
853	C₂²⋊D₁₃	—	4	2	no	—
854	C₂²⋊D₁₃	—	4	2	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	4	2	no	—
858	C₂²⋊D₁₃	—	4	2	no	—
859	C₂²⋊D₁₃	—	4	2	no	—
860	C₂²⋊D₁₃	—	4	2	no	—
861	C₂²⋊D₁₃	—	8	1	no	—
862	C₂²⋊D₁₃	—	8	1	no	—
863	C₂²⋊D₁₃	—	8	1	no	—
864	C₂²⋊D₁₃	—	8	1	no	—
865	C₂²⋊D₁₃	—	8	1	no	—
866	C₂²⋊D₁₃	—	8	1	no	—
867	C₂²⋊D₁₃	—	8	1	no	—
868	C₂²⋊D₁₃	—	8	1	no	—
869	C₂²⋊D₁₃	#135	1	4	yes	complemented
870	C₂×Dic₁₃	—	2	2	no	—
871	C₂×Dic₁₃	—	2	1	no	—
872	C₂×Dic₁₃	—	2	1	no	—
873	C₂×Dic₁₃	—	2	1	no	—
874	C₂×Dic₁₃	—	2	1	no	—
875	C₂×Dic₁₃	—	2	1	no	—
876	C₂×Dic₁₃	—	2	1	no	—
877	C₂×Dic₁₃	—	4	1	no	—
878	C₂×Dic₁₃	—	4	1	no	—
879	C₂×Dic₁₃	—	4	2	no	—
880	C₂×Dic₁₃	—	4	2	no	—
881	C₂×Dic₁₃	—	4	2	no	—
882	C₂×Dic₁₃	—	8	1	no	—
883	C₂×Dic₁₃	—	8	1	no	—
884	C₂×Dic₁₃	—	8	1	no	—
885	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
886	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
887	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
888	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
890	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
891	D₅₂	—	2	1	no	—
892	D₅₂	—	2	1	no	—
893	D₅₂	—	2	1	no	—
894	D₅₂	—	2	1	no	—
895	D₅₂	—	4	2	no	—
896	D₅₂	—	8	1	no	—
897	C₄×D₁₃	—	2	1	no	—
898	C₄×D₁₃	—	2	1	no	—
899	C₄×D₁₃	—	2	1	no	—
900	C₄×D₁₃	—	2	1	no	—
901	C₄×D₁₃	—	4	1	no	—
902	C₄×D₁₃	—	4	1	no	—
903	C₄×D₁₃	—	4	2	no	—
904	C₄×D₁₃	—	4	2	no	—
905	C₄×D₁₃	—	4	2	no	—
906	C₄×D₁₃	—	8	1	no	—
907	C₄×D₁₃	—	8	1	no	—
908	C₄×D₁₃	—	8	1	no	—
909	Dic₂₆	—	2	1	no	—
910	Dic₂₆	—	2	1	no	—
911	Dic₂₆	—	2	1	no	—
912	Dic₂₆	—	2	1	no	—
913	Dic₂₆	—	4	2	no	—
914	Dic₂₆	—	8	1	no	—
915	C₈×C₁₃	—	2	1	no	—
916	C₈×C₁₃	—	2	1	no	—
917	C₈×C₁₃	—	2	1	no	—
918	C₈×C₁₃	—	2	1	no	—
919	#1055	—	2	1	no	—
920	#1055	—	2	1	no	—
921	#1055	—	2	1	no	—
922	#1055	—	2	1	no	—
923	C₂²×#41	—	13	1	no	—
924	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
925	C₂×#135	—	13	1	no	—
926	C₂×#135	—	13	1	no	—
927	C₂×#135	—	13	1	no	—
928	C₂×#135	—	13	1	no	—
929	C₂²×SD₁₆	—	13	1	no	—
930	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
931	C₂²×D₈	—	13	1	no	—
932	C₂²×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#555	—	13	1	no	—
934	#554	—	13	1	no	—
935	#553	—	13	1	no	—
936	#553	—	13	1	no	—
937	#553	—	26	1	no	—
938	#550	—	13	1	no	—
939	#550	—	13	1	no	—
940	D₄×Q₈	—	13	1	no	—
941	#548	—	13	1	no	—
942	#548	—	13	1	no	—
943	#547	—	13	1	no	—
944	#547	—	26	1	no	—
945	#546	—	13	1	no	—
946	#546	—	13	1	no	—
947	#546	—	13	1	no	—
948	#546	—	13	1	no	—
949	#546	—	26	1	no	—
950	#546	—	26	1	no	—
951	#546	—	26	1	no	—
952	#546	—	26	1	no	—
953	D₄²	—	13	1	no	—
954	D₄²	—	13	1	no	—
955	D₄²	—	26	1	no	—
956	D₄²	—	26	1	no	—
957	#540	—	26	1	no	—
958	#538	—	26	1	no	—
959	#538	—	26	1	no	—
960	#532	—	13	1	no	—
961	#532	—	13	1	no	—
962	#532	—	26	1	no	—
963	#529	—	13	1	no	—
964	#525	—	13	1	no	—
965	#525	—	13	1	no	—
966	#525	—	13	1	no	—
967	#525	—	13	1	no	—
968	#525	—	26	1	no	—
969	#525	—	26	1	no	—
970	C₂×#121	—	13	1	no	—
971	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#518	—	26	1	no	—
973	C₄×#41	—	13	1	no	—
974	C₂×C₄×D₄	—	13	1	no	—
975	C₂×C₄×D₄	—	26	1	no	—
976	#495	—	13	1	no	—
977	#495	—	13	1	no	—
978	#493	—	13	1	no	—
979	#492	—	13	1	no	—
980	#488	—	13	1	no	—
981	#488	—	13	1	no	—
982	#487	—	13	1	no	—
983	#486	—	13	1	no	—
984	#485	—	13	1	no	—
985	#485	—	13	1	no	—
986	#485	—	13	1	no	—
987	#484	—	13	1	no	—
988	#484	—	13	1	no	—
989	#482	—	13	1	no	—
990	#482	—	13	1	no	—
991	#482	—	13	1	no	—
992	#482	—	13	1	no	—
993	#482	—	13	1	no	—
994	#481	—	13	1	no	—
995	#481	—	13	1	no	—
996	#479	—	13	1	no	—
997	#478	—	13	1	no	—
998	#477	—	13	1	no	—
999	#476	—	13	1	no	—
1000	#467	—	13	1	no	—
1001	#467	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#466	—	13	1	no	—
1004	#466	—	13	1	no	—
1005	#466	—	13	1	no	—
1006	#466	—	13	1	no	—
1007	#466	—	13	1	no	—
1008	#465	—	13	1	no	—
1009	#465	—	13	1	no	—
1010	#465	—	13	1	no	—
1011	#465	—	13	1	no	—
1012	#465	—	13	1	no	—
1013	#465	—	13	1	no	—
1014	#465	—	13	1	no	—
1015	#465	—	13	1	no	—
1016	#464	—	13	1	no	—
1017	#463	—	13	1	no	—
1018	#463	—	13	1	no	—
1019	#463	—	13	1	no	—
1020	#463	—	13	1	no	—
1021	#463	—	13	1	no	—
1022	#462	—	13	1	no	—
1023	#461	—	13	1	no	—
1024	#460	—	13	1	no	—
1025	#460	—	13	1	no	—
1026	#459	—	13	1	no	—
1027	#459	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#452	—	13	1	no	—
1032	#452	—	13	1	no	—
1033	#451	—	13	1	no	—
1034	#451	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#450	—	13	1	no	—
1037	#450	—	13	1	no	—
1038	#450	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	—	13	1	no	—
1048	#449	—	13	1	no	—
1049	#449	—	13	1	no	—
1050	#449	C₂×D₁₃	1	1	yes	characteristic
1051	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1053	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1054	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1055	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1056	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1057	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1058	#448	—	13	1	no	—
1059	#448	—	13	1	no	—
1060	#447	—	13	1	no	—
1061	#447	—	13	1	no	—
1062	#447	—	13	1	no	—
1063	#447	—	13	1	no	—
1064	C₄×Q₁₆	—	13	1	no	—
1065	C₄×SD₁₆	—	13	1	no	—
1066	C₄×SD₁₆	—	13	1	no	—
1067	C₄×SD₁₆	—	13	1	no	—
1068	C₄×SD₁₆	—	13	1	no	—
1069	C₄×D₈	—	13	1	no	—
1070	C₄×D₈	—	13	1	no	—
1071	C₄×D₈	—	13	1	no	—
1072	C₈×D₄	—	13	1	no	—
1073	C₈×D₄	—	13	1	no	—
1074	C₈×D₄	—	13	1	no	—
1075	C₈×D₄	—	13	1	no	—
1076	C₈×D₄	—	13	1	no	—
1077	C₈×D₄	—	13	1	no	—
1078	C₈×D₄	—	13	1	no	—
1079	C₈×D₄	—	13	1	no	—
1080	#431	—	13	1	no	—
1081	#431	—	13	1	no	—
1082	#416	—	13	1	no	—
1083	#416	—	13	1	no	—
1084	#416	—	13	1	no	—
1085	#416	—	13	1	no	—
1086	C₂×#103	—	13	1	no	—
1087	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1088	C₂×#102	—	13	1	no	—
1089	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1090	C₂×C₂²⋊C₈	—	13	1	no	—
1091	C₂×C₂²⋊C₈	—	13	1	no	—
1092	C₂×C₂²⋊C₈	—	13	1	no	—
1093	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	2	1	no	—
1097	C₂²×C₁₃	—	2	1	no	—
1098	C₂²×C₁₃	—	2	1	no	—
1099	C₂²×C₁₃	—	2	2	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	—	2	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	—	4	1	no	—
1112	C₂²×C₁₃	—	4	1	no	—
1113	C₂²×C₁₃	—	4	1	no	—
1114	C₂²×C₁₃	—	8	2	no	—
1115	C₂²×C₁₃	—	8	4	no	—
1116	C₂²×C₁₃	—	16	2	no	—
1117	C₂²×C₁₃	C₂×#135	1	2	yes	—
1118	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1119	C₂×D₁₃	—	2	1	no	—
1120	C₂×D₁₃	—	2	1	no	—
1121	C₂×D₁₃	—	2	1	no	—
1122	C₂×D₁₃	—	2	1	no	—
1123	C₂×D₁₃	—	2	1	no	—
1124	C₂×D₁₃	—	4	1	no	—
1125	C₂×D₁₃	—	4	1	no	—
1126	C₂×D₁₃	—	4	1	no	—
1127	C₂×D₁₃	—	4	1	no	—
1128	C₂×D₁₃	—	4	1	no	—
1129	C₂×D₁₃	—	4	1	no	—
1130	C₂×D₁₃	—	8	2	no	—
1131	C₂×D₁₃	—	8	4	no	—
1132	C₂×D₁₃	—	16	2	no	—
1133	C₂×D₁₃	C₂×#135	1	2	yes	—
1134	C₄×C₁₃	—	2	2	no	—
1135	C₄×C₁₃	—	2	1	no	—
1136	C₄×C₁₃	—	2	1	no	—
1137	C₄×C₁₃	—	2	1	no	—
1138	C₄×C₁₃	—	4	1	no	—
1139	C₄×C₁₃	—	4	1	no	—
1140	C₄×C₁₃	—	4	1	no	—
1141	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1142	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1143	Dic₁₃	—	2	1	no	—
1144	Dic₁₃	—	2	1	no	—
1145	Dic₁₃	—	2	1	no	—
1146	Dic₁₃	—	2	1	no	—
1147	Dic₁₃	—	2	1	no	—
1148	Dic₁₃	—	4	1	no	—
1149	Dic₁₃	—	4	1	no	—
1150	Dic₁₃	—	4	1	no	—
1151	Dic₁₃	—	4	1	no	—
1152	Dic₁₃	—	4	1	no	—
1153	Dic₁₃	—	4	1	no	—
1154	Dic₁₃	C₂×#135	1	2	yes	—
1155	C₂×#41	—	2	1	no	—
1156	C₂×#41	—	2	1	no	—
1157	C₂×#41	—	4	2	no	—
1158	C₂×#41	—	4	2	no	—
1159	C₂×#41	—	13	1	no	—
1160	C₂×#41	—	13	1	no	—
1161	C₂×#41	—	13	1	no	—
1162	C₂×#41	—	13	1	no	—
1163	C₂×#41	—	13	1	no	—
1164	C₂×#41	—	26	1	no	—
1165	C₂×#41	—	26	1	no	—
1166	C₂×#41	—	26	1	no	—
1167	C₂×#41	—	52	2	no	—
1168	C₂×#41	—	52	2	no	—
1169	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1170	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1171	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1172	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1173	C₂²×Q₈	—	13	1	no	—
1174	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1175	C₂²×D₄	—	2	1	no	—
1176	C₂²×D₄	—	2	1	no	—
1177	C₂²×D₄	—	13	1	no	—
1178	C₂²×D₄	—	13	1	no	—
1179	C₂²×D₄	—	13	1	no	—
1180	C₂²×D₄	—	26	1	no	—
1181	C₂²×D₄	—	26	1	no	—
1182	C₂²×D₄	—	26	1	no	—
1183	C₂²×D₄	—	26	1	no	—
1184	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1185	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1186	C₂³×C₄	—	2	1	no	—
1187	C₂³×C₄	—	13	1	no	—
1188	C₂³×C₄	—	26	1	no	—
1189	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1190	#135	—	52	2	no	—
1191	#135	—	52	2	no	—
1192	#135	—	52	2	no	—
1193	#135	—	52	2	no	—
1194	C₂×Q₁₆	—	13	1	no	—
1195	C₂×Q₁₆	—	13	1	no	—
1196	C₂×Q₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	4	2	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	13	1	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×SD₁₆	—	13	1	no	—
1203	C₂×SD₁₆	—	13	1	no	—
1204	C₂×SD₁₆	—	13	1	no	—
1205	C₂×SD₁₆	—	13	1	no	—
1206	C₂×SD₁₆	—	52	2	no	—
1207	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×D₈	—	4	2	no	—
1212	C₂×D₈	—	13	1	no	—
1213	C₂×D₈	—	13	1	no	—
1214	C₂×D₈	—	13	1	no	—
1215	C₂×D₈	—	13	1	no	—
1216	C₂×D₈	—	13	1	no	—
1217	C₂×D₈	—	52	2	no	—
1218	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1219	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1220	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1221	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1222	C₂²×C₈	—	13	1	no	—
1223	C₂²×C₈	—	13	1	no	—
1224	C₂²×C₈	—	13	1	no	—
1225	C₂²×C₈	—	13	1	no	—
1226	C₂²×C₈	—	13	1	no	—
1227	C₂²×C₈	—	13	1	no	—
1228	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₄⋊Q₈	—	13	1	no	—
1231	C₄⋊Q₈	—	13	1	no	—
1232	C₄⋊Q₈	—	26	1	no	—
1233	#127	—	13	1	no	—
1234	#127	—	13	1	no	—
1235	#127	—	26	1	no	—
1236	#127	—	26	1	no	—
1237	#126	—	26	1	no	—
1238	#126	—	26	1	no	—
1239	#126	—	26	1	no	—
1240	#125	—	13	1	no	—
1241	#125	—	26	1	no	—
1242	#124	—	13	1	no	—
1243	#124	—	13	1	no	—
1244	#124	—	13	1	no	—
1245	#124	—	26	1	no	—
1246	#124	—	26	1	no	—
1247	#124	—	26	1	no	—
1248	#124	—	26	1	no	—
1249	#124	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	#123	—	26	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	C₂²⋊Q₈	—	13	1	no	—
1264	C₂²⋊Q₈	—	13	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	13	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	13	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	C₂²×D₁₃	1	1	yes	characteristic
1309	#121	C₂²×D₁₃	1	1	yes	characteristic
1310	#121	C₂²×D₁₃	1	1	yes	characteristic
1311	#121	C₂²×D₁₃	1	1	yes	characteristic
1312	#120	—	26	1	no	—
1313	#120	—	26	1	no	—
1314	#120	—	26	1	no	—
1315	#120	—	26	1	no	—
1316	#120	—	26	1	no	—
1317	#120	—	26	1	no	—
1318	#120	—	26	1	no	—
1319	#120	—	26	1	no	—
1320	#120	—	26	1	no	—
1321	#120	—	26	1	no	—
1322	#120	—	26	1	no	—
1323	#120	—	26	1	no	—
1324	C₄×Q₈	—	13	1	no	—
1325	C₄×Q₈	—	13	1	no	—
1326	C₄×Q₈	—	13	1	no	—
1327	C₄×D₄	—	13	1	no	—
1328	C₄×D₄	—	13	1	no	—
1329	C₄×D₄	—	13	1	no	—
1330	C₄×D₄	—	13	1	no	—
1331	C₄×D₄	—	13	1	no	—
1332	C₄×D₄	—	13	1	no	—
1333	C₄×D₄	—	13	1	no	—
1334	C₄×D₄	—	13	1	no	—
1335	C₄×D₄	—	13	1	no	—
1336	C₄×D₄	—	13	1	no	—
1337	C₄×D₄	—	13	1	no	—
1338	C₄×D₄	—	13	1	no	—
1339	C₄×D₄	—	13	1	no	—
1340	C₄×D₄	—	26	1	no	—
1341	C₄×D₄	—	26	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	C₄×D₄	—	26	1	no	—
1345	C₄×D₄	—	26	1	no	—
1346	C₄×D₄	—	26	1	no	—
1347	C₄×D₄	—	26	1	no	—
1348	C₄×D₄	—	26	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	—	26	1	no	—
1358	C₄×D₄	—	26	1	no	—
1359	C₄×D₄	—	26	1	no	—
1360	C₄×D₄	—	26	1	no	—
1361	C₄×D₄	—	26	1	no	—
1362	#117	—	13	1	no	—
1363	#117	—	13	1	no	—
1364	#117	—	13	1	no	—
1365	#117	—	26	1	no	—
1366	#117	—	26	1	no	—
1367	#117	—	26	1	no	—
1368	C₂×C₄⋊C₄	—	13	1	no	—
1369	C₂×C₄⋊C₄	—	13	1	no	—
1370	C₂×C₄⋊C₄	—	26	1	no	—
1371	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1372	C₂×C₂²⋊C₄	—	2	1	no	—
1373	C₂×C₂²⋊C₄	—	13	1	no	—
1374	C₂×C₂²⋊C₄	—	13	1	no	—
1375	C₂×C₂²⋊C₄	—	26	1	no	—
1376	C₂×C₂²⋊C₄	—	26	1	no	—
1377	C₂×C₂²⋊C₄	—	26	1	no	—
1378	C₂×C₂²⋊C₄	—	26	1	no	—
1379	C₂×C₂²⋊C₄	—	26	1	no	—
1380	C₂×C₄²	—	13	1	no	—
1381	C₂×C₄²	—	26	1	no	—
1382	#107	—	13	1	no	—
1383	#107	—	13	1	no	—
1384	#107	—	13	1	no	—
1385	#107	—	13	1	no	—
1386	#106	—	13	1	no	—
1387	#106	—	13	1	no	—
1388	#106	—	13	1	no	—
1389	#106	—	13	1	no	—
1390	C₄⋊C₈	—	13	1	no	—
1391	C₄⋊C₈	—	13	1	no	—
1392	C₄⋊C₈	—	13	1	no	—
1393	C₄⋊C₈	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	—	13	1	no	—
1401	#103	—	13	1	no	—
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	C₂²×D₁₃	1	1	yes	characteristic
1405	#103	C₂²×D₁₃	1	1	yes	characteristic
1406	#103	C₂²×D₁₃	1	1	yes	characteristic
1407	#103	C₂²×D₁₃	1	1	yes	characteristic
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	—	13	1	no	—
1421	#102	—	13	1	no	—
1422	#102	C₂²×D₁₃	1	1	yes	characteristic
1423	#102	C₂²×D₁₃	1	1	yes	characteristic
1424	#102	C₂²×D₁₃	1	1	yes	characteristic
1425	#102	C₂²×D₁₃	1	1	yes	characteristic
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	—	13	1	no	—
1429	C₂²⋊C₈	—	13	1	no	—
1430	C₂²⋊C₈	—	13	1	no	—
1431	C₂²⋊C₈	—	13	1	no	—
1432	C₂²⋊C₈	—	13	1	no	—
1433	C₂²⋊C₈	—	13	1	no	—
1434	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1435	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1436	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1437	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1438	C₄×C₈	—	13	1	no	—
1439	C₄×C₈	—	13	1	no	—
1440	C₄×C₈	—	13	1	no	—
1441	C₄×C₈	—	13	1	no	—
1442	C₂×C₁₃	—	2	2	no	—
1443	C₂×C₁₃	—	4	1	no	—
1444	C₂×C₁₃	—	4	2	no	—
1445	C₂×C₁₃	—	4	1	no	—
1446	C₂×C₁₃	—	8	1	no	—
1447	C₂×C₁₃	—	8	1	no	—
1448	C₂×C₁₃	—	8	1	no	—
1449	C₂×C₁₃	#3484	1	1	yes	characteristic
1450	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1451	C₂×C₁₃	#3585	1	1	yes	characteristic
1452	D₁₃	—	2	2	no	—
1453	D₁₃	—	4	1	no	—
1454	D₁₃	—	8	1	no	—
1455	D₁₃	—	8	1	no	—
1456	C₂⁴	—	2	1	no	—
1457	C₂⁴	—	2	1	no	—
1458	C₂⁴	—	13	1	no	—
1459	C₂⁴	—	26	1	no	—
1460	C₂⁴	—	26	1	no	—
1461	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1462	#41	—	2	2	no	—
1463	#41	—	2	2	no	—
1464	#41	—	2	2	no	—
1465	#41	—	2	2	no	—
1466	#41	—	4	1	no	—
1467	#41	—	4	1	no	—
1468	#41	—	4	1	no	—
1469	#41	—	4	1	no	—
1470	#41	—	4	4	no	—
1471	#41	—	4	4	no	—
1472	#41	—	26	2	no	—
1473	#41	—	26	2	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	1	no	—
1476	#41	—	52	4	no	—
1477	#41	—	52	1	no	—
1478	#41	—	52	1	no	—
1479	#41	—	52	1	no	—
1480	#41	—	52	1	no	—
1481	#41	—	52	1	no	—
1482	#41	—	52	1	no	—
1483	#41	—	52	4	no	—
1484	#41	—	104	2	no	—
1485	C₂×Q₈	—	2	1	no	—
1486	C₂×Q₈	—	2	2	no	—
1487	C₂×Q₈	—	4	1	no	—
1488	C₂×Q₈	—	13	1	no	—
1489	C₂×Q₈	—	13	1	no	—
1490	C₂×Q₈	—	26	1	no	—
1491	C₂×Q₈	—	26	1	no	—
1492	C₂×Q₈	—	26	2	no	—
1493	C₂×Q₈	—	52	1	no	—
1494	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1495	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	2	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	4	1	no	—
1508	C₂×D₄	—	4	1	no	—
1509	C₂×D₄	—	4	1	no	—
1510	C₂×D₄	—	4	4	no	—
1511	C₂×D₄	—	8	2	no	—
1512	C₂×D₄	—	13	1	no	—
1513	C₂×D₄	—	13	1	no	—
1514	C₂×D₄	—	13	1	no	—
1515	C₂×D₄	—	13	1	no	—
1516	C₂×D₄	—	13	1	no	—
1517	C₂×D₄	—	13	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	4	no	—
1527	C₂×D₄	—	26	2	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	26	1	no	—
1538	C₂×D₄	—	26	1	no	—
1539	C₂×D₄	—	26	1	no	—
1540	C₂×D₄	—	52	1	no	—
1541	C₂×D₄	—	52	1	no	—
1542	C₂×D₄	—	52	1	no	—
1543	C₂×D₄	—	52	4	no	—
1544	C₂×D₄	—	52	4	no	—
1545	C₂×D₄	—	52	4	no	—
1546	C₂×D₄	—	104	2	no	—
1547	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	2	1	no	—
1556	C₂²×C₄	—	2	1	no	—
1557	C₂²×C₄	—	4	1	no	—
1558	C₂²×C₄	—	4	1	no	—
1559	C₂²×C₄	—	4	4	no	—
1560	C₂²×C₄	—	13	1	no	—
1561	C₂²×C₄	—	13	1	no	—
1562	C₂²×C₄	—	13	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	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	26	1	no	—
1570	C₂²×C₄	—	26	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	—	52	1	no	—
1580	C₂²×C₄	—	52	1	no	—
1581	C₂²×C₄	—	52	4	no	—
1582	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1583	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1584	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1585	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1588	Q₁₆	—	26	2	no	—
1589	Q₁₆	—	52	1	no	—
1590	Q₁₆	—	52	1	no	—
1591	SD₁₆	—	2	2	no	—
1592	SD₁₆	—	2	2	no	—
1593	SD₁₆	—	4	1	no	—
1594	SD₁₆	—	4	1	no	—
1595	SD₁₆	—	26	2	no	—
1596	SD₁₆	—	26	2	no	—
1597	SD₁₆	—	52	1	no	—
1598	SD₁₆	—	52	1	no	—
1599	SD₁₆	—	52	1	no	—
1600	SD₁₆	—	52	1	no	—
1601	SD₁₆	—	52	1	no	—
1602	SD₁₆	—	52	1	no	—
1603	D₈	—	2	2	no	—
1604	D₈	—	2	2	no	—
1605	D₈	—	4	1	no	—
1606	D₈	—	4	1	no	—
1607	D₈	—	26	2	no	—
1608	D₈	—	52	1	no	—
1609	D₈	—	52	1	no	—
1610	D₈	—	52	1	no	—
1611	D₈	—	52	1	no	—
1612	C₂×C₈	—	4	1	no	—
1613	C₂×C₈	—	4	1	no	—
1614	C₂×C₈	—	13	1	no	—
1615	C₂×C₈	—	13	1	no	—
1616	C₂×C₈	—	13	1	no	—
1617	C₂×C₈	—	13	1	no	—
1618	C₂×C₈	—	52	1	no	—
1619	C₂×C₈	—	52	1	no	—
1620	C₂×C₈	—	52	1	no	—
1621	C₂×C₈	—	52	1	no	—
1622	C₂×C₈	—	52	1	no	—
1623	C₂×C₈	—	52	1	no	—
1624	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1625	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1626	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1627	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1628	C₄⋊C₄	—	2	1	no	—
1629	C₄⋊C₄	—	13	1	no	—
1630	C₄⋊C₄	—	13	1	no	—
1631	C₄⋊C₄	—	13	1	no	—
1632	C₄⋊C₄	—	13	1	no	—
1633	C₄⋊C₄	—	13	1	no	—
1634	C₄⋊C₄	—	13	1	no	—
1635	C₄⋊C₄	—	13	1	no	—
1636	C₄⋊C₄	—	13	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	—	26	1	no	—
1646	C₄⋊C₄	—	26	1	no	—
1647	C₄⋊C₄	—	26	1	no	—
1648	C₄⋊C₄	—	26	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	—	26	1	no	—
1651	C₄⋊C₄	—	26	1	no	—
1652	C₄⋊C₄	—	26	1	no	—
1653	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1654	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	13	1	no	—
1660	C₂²⋊C₄	—	13	1	no	—
1661	C₂²⋊C₄	—	13	1	no	—
1662	C₂²⋊C₄	—	13	1	no	—
1663	C₂²⋊C₄	—	13	1	no	—
1664	C₂²⋊C₄	—	13	1	no	—
1665	C₂²⋊C₄	—	13	1	no	—
1666	C₂²⋊C₄	—	13	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₄²	—	13	1	no	—
1698	C₄²	—	13	1	no	—
1699	C₄²	—	13	1	no	—
1700	C₄²	—	13	1	no	—
1701	C₄²	—	26	1	no	—
1702	C₄²	—	26	1	no	—
1703	C₄²	—	26	1	no	—
1704	C₄²	—	26	1	no	—
1705	C₄²	—	26	1	no	—
1706	C₄²	—	26	1	no	—
1707	C₁₃	#61567	1	1	yes	characteristic, complemented, Sylow
1708	C₂³	—	2	1	no	—
1709	C₂³	—	2	2	no	—
1710	C₂³	—	2	1	no	—
1711	C₂³	—	2	1	no	—
1712	C₂³	—	2	1	no	—
1713	C₂³	—	4	1	no	—
1714	C₂³	—	4	1	no	—
1715	C₂³	—	4	2	no	—
1716	C₂³	—	4	2	no	—
1717	C₂³	—	4	2	no	—
1718	C₂³	—	8	1	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	13	1	no	—
1722	C₂³	—	13	1	no	—
1723	C₂³	—	26	2	no	—
1724	C₂³	—	26	1	no	—
1725	C₂³	—	26	1	no	—
1726	C₂³	—	52	1	no	—
1727	C₂³	—	52	1	no	—
1728	C₂³	—	52	2	no	—
1729	C₂³	—	52	2	no	—
1730	C₂³	—	52	2	no	—
1731	C₂³	—	104	1	no	—
1732	C₂³	—	104	1	no	—
1733	C₂³	—	104	1	no	—
1734	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1735	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1736	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	2	1	no	—
1740	Q₈	—	4	2	no	—
1741	Q₈	—	26	1	no	—
1742	Q₈	—	26	1	no	—
1743	Q₈	—	26	1	no	—
1744	Q₈	—	26	1	no	—
1745	Q₈	—	52	2	no	—
1746	Q₈	—	104	1	no	—
1747	Q₈	#88251	1	2	yes	—
1748	D₄	—	2	4	no	—
1749	D₄	—	2	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	2	1	no	—
1755	D₄	—	2	1	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	2	no	—
1760	D₄	—	4	2	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	8	1	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	13	4	no	—
1766	D₄	—	26	2	no	—
1767	D₄	—	26	2	no	—
1768	D₄	—	26	2	no	—
1769	D₄	—	26	1	no	—
1770	D₄	—	26	1	no	—
1771	D₄	—	26	1	no	—
1772	D₄	—	26	1	no	—
1773	D₄	—	52	2	no	—
1774	D₄	—	52	2	no	—
1775	D₄	—	52	2	no	—
1776	D₄	—	52	2	no	—
1777	D₄	—	52	2	no	—
1778	D₄	—	52	2	no	—
1779	D₄	—	52	2	no	—
1780	D₄	—	52	2	no	—
1781	D₄	—	52	2	no	—
1782	D₄	—	52	2	no	—
1783	D₄	—	52	2	no	—
1784	D₄	—	104	1	no	—
1785	D₄	—	104	1	no	—
1786	D₄	—	104	1	no	—
1787	D₄	—	104	1	no	—
1788	D₄	—	104	1	no	—
1789	D₄	—	104	1	no	—
1790	D₄	—	104	1	no	—
1791	D₄	—	104	1	no	—
1792	D₄	—	104	1	no	—
1793	D₄	#88251	1	2	yes	—
1794	C₂×C₄	—	2	4	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	4	1	no	—
1806	C₂×C₄	—	4	1	no	—
1807	C₂×C₄	—	4	1	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	4	2	no	—
1810	C₂×C₄	—	4	2	no	—
1811	C₂×C₄	—	4	2	no	—
1812	C₂×C₄	—	8	1	no	—
1813	C₂×C₄	—	13	1	no	—
1814	C₂×C₄	—	13	1	no	—
1815	C₂×C₄	—	13	1	no	—
1816	C₂×C₄	—	13	1	no	—
1817	C₂×C₄	—	13	1	no	—
1818	C₂×C₄	—	13	1	no	—
1819	C₂×C₄	—	26	2	no	—
1820	C₂×C₄	—	26	1	no	—
1821	C₂×C₄	—	26	1	no	—
1822	C₂×C₄	—	26	1	no	—
1823	C₂×C₄	—	26	1	no	—
1824	C₂×C₄	—	26	1	no	—
1825	C₂×C₄	—	26	1	no	—
1826	C₂×C₄	—	26	1	no	—
1827	C₂×C₄	—	26	1	no	—
1828	C₂×C₄	—	26	1	no	—
1829	C₂×C₄	—	26	1	no	—
1830	C₂×C₄	—	52	1	no	—
1831	C₂×C₄	—	52	1	no	—
1832	C₂×C₄	—	52	2	no	—
1833	C₂×C₄	—	52	2	no	—
1834	C₂×C₄	—	52	2	no	—
1835	C₂×C₄	—	52	2	no	—
1836	C₂×C₄	—	52	2	no	—
1837	C₂×C₄	—	52	1	no	—
1838	C₂×C₄	—	52	1	no	—
1839	C₂×C₄	—	52	2	no	—
1840	C₂×C₄	—	104	1	no	—
1841	C₂×C₄	—	104	1	no	—
1842	C₂×C₄	—	104	1	no	—
1843	C₂×C₄	—	104	1	no	—
1844	C₂×C₄	—	104	1	no	—
1845	C₂×C₄	—	104	1	no	—
1846	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1847	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1848	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1849	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1850	C₈	—	2	1	no	—
1851	C₈	—	2	1	no	—
1852	C₈	—	2	1	no	—
1853	C₈	—	2	1	no	—
1854	C₈	—	26	1	no	—
1855	C₈	—	26	1	no	—
1856	C₈	—	26	1	no	—
1857	C₈	—	26	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	2	2	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	4	1	no	—
1869	C₂²	—	4	1	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	8	2	no	—
1879	C₂²	—	8	4	no	—
1880	C₂²	—	13	2	no	—
1881	C₂²	—	16	2	no	—
1882	C₂²	—	26	1	no	—
1883	C₂²	—	26	1	no	—
1884	C₂²	—	26	1	no	—
1885	C₂²	—	26	1	no	—
1886	C₂²	—	26	1	no	—
1887	C₂²	—	52	1	no	—
1888	C₂²	—	52	1	no	—
1889	C₂²	—	52	1	no	—
1890	C₂²	—	52	1	no	—
1891	C₂²	—	52	1	no	—
1892	C₂²	—	52	1	no	—
1893	C₂²	—	104	2	no	—
1894	C₂²	—	104	4	no	—
1895	C₂²	—	208	2	no	—
1896	C₂²	D₁₃×#135	1	2	yes	—
1897	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1898	C₄	—	2	1	no	—
1899	C₄	—	2	2	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	4	1	no	—
1903	C₄	—	4	1	no	—
1904	C₄	—	4	1	no	—
1905	C₄	—	13	2	no	—
1906	C₄	—	26	1	no	—
1907	C₄	—	26	1	no	—
1908	C₄	—	26	1	no	—
1909	C₄	—	26	1	no	—
1910	C₄	—	26	1	no	—
1911	C₄	—	52	1	no	—
1912	C₄	—	52	1	no	—
1913	C₄	—	52	1	no	—
1914	C₄	—	52	1	no	—
1915	C₄	—	52	1	no	—
1916	C₄	—	52	1	no	—
1917	C₄	C₂×#88251	1	1	yes	characteristic
1918	C₄	C₂×#88251	1	1	yes	characteristic
1919	C₂	—	2	2	no	—
1920	C₂	—	4	1	no	—
1921	C₂	—	4	1	no	—
1922	C₂	—	4	2	no	—
1923	C₂	—	8	1	no	—
1924	C₂	—	8	1	no	—
1925	C₂	—	8	1	no	—
1926	C₂	—	26	2	no	—
1927	C₂	—	52	1	no	—
1928	C₂	—	104	1	no	—
1929	C₂	—	104	1	no	—
1930	C₂	#13128465	1	1	yes	characteristic
1931	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1932	C₂	#13129612	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₁₃×#449	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	C₂×#449	D₁₃
hypocenter	C₁₃	#61567
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#449

Complements

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

N	H ≅ G/N	type
1. #13128862	C₂	semidirect
2. #41×C₂²⋊D₁₃	C₂	semidirect
3. #13126779	C₂	semidirect
4. #13126757	C₂	semidirect
5. #13126734	C₂	semidirect
6. #13126731	C₂	semidirect
7. #13126708	C₂	semidirect
8. #13126682	C₂	semidirect
9. #13126679	C₂	semidirect
10. #13126656	C₂	semidirect
11. #13126589	C₂	semidirect
12. #13126564	C₂	semidirect
13. #13126546	C₂	semidirect
14. #13126543	C₂	semidirect
15. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
16. #13126521	C₂	semidirect
17. #13126519	C₂	semidirect
18. D₈×C₂²⋊D₁₃	C₂	semidirect
19. #13125809	C₂	semidirect
20. #13125767	C₂	semidirect
21. #13125629	C₂	semidirect
22. #13125626	C₂	semidirect
23. #13125601	C₂	semidirect
24. #13125599	C₂	semidirect
25. #13124889	C₂	semidirect
26. #13124847	C₂	semidirect
27. #13124054	C₂	semidirect
28. #13124051	C₂	semidirect
29. D₁₃×#449	C₂	semidirect
30. #13123858	C₂	semidirect
31. C₂×C₁₃×#449	C₂	semidirect
32. C₂²×C₁₃×#41	C₂²	semidirect
33. C₂×#41×D₁₃	C₂²	semidirect
34. C₂²×C₁₃×SD₁₆	C₂²	semidirect
35. C₂²×C₁₃×D₈	C₂²	semidirect
36. C₂×C₁₃×#121	C₂²	semidirect
37. #11719539	C₂²	semidirect
39. #11719537	C₂²	semidirect
40. #11719536	C₂²	semidirect
42. #11719534	C₂²	semidirect
44. #11719533	C₂²	semidirect
45. #41×Dic₁₃	C₂²	semidirect
47. #11719529	C₂²	semidirect
48. C₂×#88204	C₂²	semidirect
49. C₂×#88204	C₂²	semidirect
50. #11719522	C₂²	semidirect
54. #11719511	C₂²	semidirect
55. #11719511	C₂²	semidirect
61. #11719496	C₂²	semidirect
62. #11719496	C₂²	semidirect
65. C₂×#88170	C₂²	semidirect
66. C₂×SD₁₆×D₁₃	C₂²	semidirect
67. C₂×#88166	C₂²	semidirect
68. C₂×D₈×D₁₃	C₂²	semidirect
69. #11719321	C₂²	semidirect
71. #11719319	C₂²	semidirect
73. #11719317	C₂²	semidirect
75. #11719311	C₂²	semidirect
76. D₁₃×#121	C₂²	semidirect
78. #11719305	C₂²	semidirect
79. #11719304	C₂²	semidirect
80. #11719301	C₂²	semidirect
81. #11719219	C₂²	semidirect
86. C₁₃×#449	C₂²	semidirect
87. C₁₃×#449	C₂²	semidirect
88. C₁₃×#449	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₂×C₁₃×#103	C₂²	semidirect
94. C₂×C₁₃×#102	C₂²	semidirect
95. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718900	C₂²	semidirect
98. #11718899	C₂²	semidirect
99. #11718899	C₂²	semidirect
100. #11718894	C₂²	semidirect
101. #11718894	C₂²	semidirect
102. #11718889	C₂²	semidirect
103. #11718888	C₂²	semidirect
104. #11718879	C₂²	semidirect
105. #11718879	C₂²	semidirect
106. #11718878	C₂²	semidirect
107. #11718878	C₂²	semidirect
108. C₂×C₂²⋊#1055	C₂²	semidirect
109. #11718836	C₂²	semidirect
110. #11718834	C₂²	semidirect
111. #11718833	C₂²	semidirect
112. #11718832	C₂²	semidirect
113. #11718832	C₂²	semidirect
114. #11718831	C₂²	semidirect
115. #11718830	C₂²	semidirect
116. #11718829	C₂²	semidirect
117. #11718827	C₂²	semidirect
118. #11718826	C₂²	semidirect
119. #11718824	C₂²	semidirect
120. #11718823	C₂²	semidirect
121. SD₁₆×Dic₁₃	C₂²	semidirect
122. SD₁₆×Dic₁₃	C₂²	semidirect
123. #11718819	C₂²	semidirect
124. #11718819	C₂²	semidirect
125. #11718818	C₂²	semidirect
126. #11718818	C₂²	semidirect
127. #11718817	C₂²	semidirect
128. #11718817	C₂²	semidirect
129. #11718816	C₂²	semidirect
130. #11718814	C₂²	semidirect
131. #11718814	C₂²	semidirect
132. #11718812	C₂²	semidirect
133. #11718811	C₂²	semidirect
134. #11718811	C₂²	semidirect
135. D₈×Dic₁₃	C₂²	semidirect
136. D₈×Dic₁₃	C₂²	semidirect
137. #11718777	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. #11718775	C₂²	semidirect
140. #11718775	C₂²	semidirect
143. C₈×C₂²⋊D₁₃	C₂²	semidirect
144. C₈×C₂²⋊D₁₃	C₂²	semidirect
145. #11718702	C₂²	semidirect
146. #11718702	C₂²	semidirect
147. #11718699	C₂²	semidirect
148. #11718699	C₂²	semidirect
149. #11718698	C₂²	semidirect
150. #11718698	C₂²	semidirect
151. #11718696	C₂²	semidirect
152. #11718696	C₂²	semidirect
153. #11718631	C₂²	semidirect
154. #11718629	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718475	C₂²	semidirect
157. #11718474	C₂²	semidirect
158. #11718472	C₂²	semidirect
159. #11718470	C₂²	semidirect
160. #11718469	C₂²	semidirect
161. #11718468	C₂²	semidirect
162. #11718465	C₂²	semidirect
163. D₁₃×#103	C₂²	semidirect
164. #11718461	C₂²	semidirect
165. #11718457	C₂²	semidirect
166. #11718455	C₂²	semidirect
167. #11718454	C₂²	semidirect
168. #11718453	C₂²	semidirect
169. #11718451	C₂²	semidirect
170. #11718449	C₂²	semidirect
171. #11718448	C₂²	semidirect
172. #11718442	C₂²	semidirect
173. #11718440	C₂²	semidirect
174. #11718439	C₂²	semidirect
175. #11718438	C₂²	semidirect
176. #11718437	C₂²	semidirect
177. #11718436	C₂²	semidirect
178. #11718433	C₂²	semidirect
179. D₁₃×#102	C₂²	semidirect
180. #11718429	C₂²	semidirect
181. #11718424	C₂²	semidirect
182. #11718423	C₂²	semidirect
183. #11718422	C₂²	semidirect
184. #11718421	C₂²	semidirect
185. #11718419	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718398	C₂²	semidirect
188. #11718398	C₂²	semidirect
189. #11718395	C₂²	semidirect
190. #11718395	C₂²	semidirect
191. #11718394	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718386	C₂²	semidirect
194. #11718386	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. #11718384	C₂²	semidirect
200. #11718384	C₂²	semidirect
201. #11718379	C₂²	semidirect
202. #11718379	C₂²	semidirect
771. C₂×#449	D₁₃	semidirect
869. C₂²⋊D₁₃	#135	semidirect
924. C₂²×#41	C₂×D₁₃	semidirect
930. C₂²×SD₁₆	C₂×D₁₃	semidirect
932. C₂²×D₈	C₂×D₁₃	semidirect
971. C₂×#121	C₂×D₁₃	semidirect
1051. #449	C₂×D₁₃	semidirect
1052. #449	C₂×D₁₃	semidirect
1053. #449	C₂×D₁₃	semidirect
1054. #449	C₂×D₁₃	semidirect
1055. #449	C₂×D₁₃	semidirect
1056. #449	C₂×D₁₃	semidirect
1057. #449	C₂×D₁₃	semidirect
1087. C₂×#103	C₂×D₁₃	semidirect
1089. C₂×#102	C₂×D₁₃	semidirect
1093. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
1707. C₁₃	#61567	semidirect

Maximal subgroups

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

subgroup	index
#13128862	2
#41×C₂²⋊D₁₃	2
#13126779	2
#13126757	2
#13126734	2
#13126731	2
#13126708	2
#13126682	2
#13126679	2
#13126656	2
#13126589	2
#13126564	2
#13126546	2
#13126543	2
SD₁₆×C₂²⋊D₁₃	2
#13126521	2
#13126519	2
D₈×C₂²⋊D₁₃	2
#13125809	2
#13125767	2
#13125629	2
#13125626	2
#13125601	2
#13125599	2
#13124889	2
#13124847	2
#13124054	2
#13124051	2
D₁₃×#449	2
#13123858	2
C₂×C₁₃×#449	2
#61567	13