Subgroups — #16808856

Order 3328.

1658 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131750	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131749	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131748	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131748	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131746	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131745	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131743	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131743	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131742	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131742	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131741	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131740	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131737	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131736	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131735	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131733	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131637	C₂	1	1	yes	maximal, characteristic, complemented
18	#13131633	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131633	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131631	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131627	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131627	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131624	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719078	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131534	C₂	1	1	yes	maximal, characteristic
26	#13131534	C₂	1	1	yes	maximal, characteristic
27	#13131531	C₂	1	1	yes	maximal, characteristic
28	#13131522	C₂	1	1	yes	maximal, characteristic
29	#13131522	C₂	1	1	yes	maximal, characteristic
30	#13131519	C₂	1	1	yes	maximal, characteristic
31	#13128415	C₂	1	1	yes	maximal, characteristic
32	C₁₃×#554	C₄	1	1	yes	characteristic
33	#11719433	C₂²	1	1	yes	characteristic
34	#11719427	C₄	1	1	yes	characteristic
35	#11719393	C₂²	1	1	yes	characteristic
36	#11719393	C₂²	1	1	yes	characteristic
37	#11719390	C₄	1	1	yes	characteristic
38	#11719390	C₄	1	1	yes	characteristic
39	#11719341	C₄	1	1	yes	characteristic
40	#11719341	C₄	1	1	yes	characteristic
41	#11719341	C₄	1	1	yes	characteristic
42	#11719341	C₄	1	1	yes	characteristic
43	#11719337	C₄	1	1	yes	characteristic
44	#11719337	C₄	1	1	yes	characteristic
45	#11719327	C₂²	1	1	yes	characteristic
46	#11719327	C₂²	1	1	yes	characteristic
47	#11719327	C₂²	1	1	yes	characteristic
48	#11719327	C₂²	1	1	yes	characteristic
49	#11719327	C₂²	1	1	yes	characteristic
50	#11719327	C₂²	1	1	yes	characteristic
51	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
52	#11719272	C₄	1	1	yes	characteristic
53	#11719244	C₄	1	1	yes	characteristic
54	#11719244	C₄	1	1	yes	characteristic
55	D₄×Dic₂₆	C₄	1	1	yes	characteristic
56	C₄×#6129	C₂²	1	1	yes	characteristic
57	C₄×#6129	C₂²	1	1	yes	characteristic
58	C₄×#6129	C₂²	1	1	yes	characteristic
59	#11719216	C₄	1	1	yes	characteristic
60	#11719216	C₄	1	1	yes	characteristic
61	C₂×#88141	C₂²	1	1	yes	characteristic
62	C₂×#88141	C₂²	1	1	yes	characteristic
63	#11719158	C₂²	1	1	yes	characteristic
64	#11719158	C₂²	1	1	yes	characteristic
65	#11719158	C₂²	1	1	yes	characteristic
66	#11719158	C₂²	1	1	yes	characteristic
67	#11719158	C₂²	1	1	yes	characteristic
68	#11719158	C₂²	1	1	yes	characteristic
69	#11719158	C₂²	1	1	yes	characteristic
70	#11719158	C₂²	1	1	yes	characteristic
71	#11719158	C₂²	1	1	yes	characteristic
72	#11719158	C₂²	1	1	yes	characteristic
73	Q₈×#1057	C₂²	1	1	yes	characteristic
74	Q₈×#1057	C₂²	1	1	yes	characteristic
75	#11719146	C₂²	1	1	yes	characteristic
76	#11719146	C₂²	1	1	yes	characteristic
77	#11719146	C₂²	1	1	yes	characteristic
78	#11719146	C₂²	1	1	yes	characteristic
79	#11719130	C₂²	1	1	yes	characteristic
80	#11719130	C₂²	1	1	yes	characteristic
81	#11719130	C₂²	1	1	yes	characteristic
82	#11719129	C₂²	1	1	yes	characteristic
83	#11719129	C₂²	1	1	yes	characteristic
84	#11719129	C₂²	1	1	yes	characteristic
85	#11719128	C₂²	1	1	yes	characteristic
86	#11719128	C₂²	1	1	yes	characteristic
87	#11719128	C₂²	1	1	yes	characteristic
88	#11719128	C₂²	1	1	yes	characteristic
89	#11719125	C₂²	1	1	yes	characteristic
90	#11719125	C₂²	1	1	yes	characteristic
91	#11719125	C₂²	1	1	yes	characteristic
92	C₂×#88112	C₂²	1	1	yes	characteristic
93	C₂×#88112	C₂²	1	1	yes	characteristic
94	C₄×#6122	C₂²	1	1	yes	characteristic
95	C₄×#6122	C₂²	1	1	yes	characteristic
96	C₄×#6122	C₂²	1	1	yes	characteristic
97	C₂×#88110	C₂²	1	1	yes	characteristic
98	C₂×#88110	C₂²	1	1	yes	characteristic
99	#11719119	C₂²	1	1	yes	characteristic
100	#11719119	C₂²	1	1	yes	characteristic
101	C₂×C₄⋊#1057	C₂²	1	1	yes	characteristic
102	C₂×C₄×#1057	C₂²	1	1	yes	characteristic
103	#11719080	C₂²	1	1	yes	characteristic
104	#11719080	C₂²	1	1	yes	characteristic
105	#11719080	C₂²	1	1	yes	characteristic
106	#11719080	C₂²	1	1	yes	characteristic
107	#11719080	C₂²	1	1	yes	characteristic
108	#11719080	C₂²	1	1	yes	characteristic
109	#11719080	C₂²	1	1	yes	characteristic
110	#11719080	C₂²	1	1	yes	characteristic
111	#11719080	C₂²	1	1	yes	characteristic
112	#11719080	C₂²	1	1	yes	characteristic
113	#11719078	C₂²	1	1	yes	characteristic
114	#11719078	C₂²	1	1	yes	characteristic
115	#11719078	C₂²	1	1	yes	characteristic
116	#11719078	C₂²	1	1	yes	characteristic
117	#11719078	C₂²	1	1	yes	characteristic
118	#11719078	C₂²	1	1	yes	characteristic
119	#11719078	C₂²	1	1	yes	characteristic
120	#11719078	C₂²	1	1	yes	characteristic
121	#11719078	C₂²	1	1	yes	characteristic
122	#11719078	C₂²	1	1	yes	characteristic
123	#11719078	C₂²	1	1	yes	characteristic
124	#11719078	C₂²	1	1	yes	characteristic
125	#11719078	C₂²	1	1	yes	characteristic
126	#11719078	C₂²	1	1	yes	characteristic
127	#11719078	C₂²	1	1	yes	characteristic
128	#11719078	C₂²	1	1	yes	characteristic
129	#11719078	C₂²	1	1	yes	characteristic
130	#11719078	C₂²	1	1	yes	characteristic
131	#11719078	C₂²	1	1	yes	characteristic
132	#11719078	C₂²	1	1	yes	characteristic
133	#11719078	C₂²	1	1	yes	characteristic
134	#11719078	C₂²	1	1	yes	characteristic
135	#11719078	C₂²	1	1	yes	characteristic
136	#11719078	C₂²	1	1	yes	characteristic
137	#11719078	C₂²	1	1	yes	characteristic
138	#11719078	C₂²	1	1	yes	characteristic
139	#11719078	C₂²	1	1	yes	characteristic
140	#11719078	C₂²	1	1	yes	characteristic
141	#11719078	C₂²	1	1	yes	characteristic
142	#11719078	C₂²	1	1	yes	characteristic
143	#11719078	C₂²	1	1	yes	characteristic
144	#11719078	C₂²	1	1	yes	characteristic
145	#11719077	C₂²	1	1	yes	characteristic
146	#11719077	C₂²	1	1	yes	characteristic
147	#11719077	C₂²	1	1	yes	characteristic
148	#11719077	C₂²	1	1	yes	characteristic
149	#11719077	C₂²	1	1	yes	characteristic
150	#11719077	C₂²	1	1	yes	characteristic
151	#11719077	C₂²	1	1	yes	characteristic
152	#11719077	C₂²	1	1	yes	characteristic
153	#11719077	C₂²	1	1	yes	characteristic
154	#11719077	C₂²	1	1	yes	characteristic
155	#11719077	C₂²	1	1	yes	characteristic
156	#11719077	C₂²	1	1	yes	characteristic
157	#11719074	C₂²	1	1	yes	characteristic
158	#11719074	C₂²	1	1	yes	characteristic
159	#11719074	C₂²	1	1	yes	characteristic
160	#11719074	C₂²	1	1	yes	characteristic
161	#11719074	C₂²	1	1	yes	characteristic
162	#11719074	C₂²	1	1	yes	characteristic
163	#11719074	C₂²	1	1	yes	characteristic
164	#11719074	C₂²	1	1	yes	characteristic
165	#11719074	C₂²	1	1	yes	characteristic
166	#11719074	C₂²	1	1	yes	characteristic
167	#11719068	C₂²	1	1	yes	characteristic
168	#11719068	C₂²	1	1	yes	characteristic
169	#11719068	C₂²	1	1	yes	characteristic
170	#11719068	C₂²	1	1	yes	characteristic
171	#11719068	C₂²	1	1	yes	characteristic
172	#11719068	C₂²	1	1	yes	characteristic
173	#11719068	C₂²	1	1	yes	characteristic
174	#11719068	C₂²	1	1	yes	characteristic
175	#11719068	C₂²	1	1	yes	characteristic
176	#11719068	C₂²	1	1	yes	characteristic
177	#11719068	C₂²	1	1	yes	characteristic
178	#11719068	C₂²	1	1	yes	characteristic
179	#11719067	C₂²	1	1	yes	characteristic
180	#11719067	C₂²	1	1	yes	characteristic
181	#11719067	C₂²	1	1	yes	characteristic
182	#11719067	C₂²	1	1	yes	characteristic
183	#11719067	C₂²	1	1	yes	characteristic
184	#11719067	C₂²	1	1	yes	characteristic
185	#11719062	C₂²	1	1	yes	characteristic
186	#11719062	C₂²	1	1	yes	characteristic
187	#11719062	C₂²	1	1	yes	characteristic
188	#11719062	C₂²	1	1	yes	characteristic
189	#11719062	C₂²	1	1	yes	characteristic
190	#11719062	C₂²	1	1	yes	characteristic
191	#11719055	C₂²	1	1	yes	characteristic
192	#11719055	C₂²	1	1	yes	characteristic
193	#11719055	C₂²	1	1	yes	characteristic
194	#11719055	C₂²	1	1	yes	characteristic
195	#11719054	C₂²	1	1	yes	characteristic
196	#11719054	C₂²	1	1	yes	characteristic
197	#11719054	C₂²	1	1	yes	characteristic
198	#11719051	C₂²	1	1	yes	characteristic
199	#11719051	C₂²	1	1	yes	characteristic
200	#11719049	C₂²	1	1	yes	characteristic
201	#11719049	C₂²	1	1	yes	characteristic
202	#11719049	C₂²	1	1	yes	characteristic
203	C₂×Q₈×D₁₃	C₂×C₄	1	1	yes	characteristic
204	C₂×#6129	C₂³	1	1	yes	characteristic
205	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
206	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
207	C₂×#6122	C₂³	1	1	yes	characteristic
208	C₂×#6122	C₂³	1	1	yes	characteristic
209	C₂×#6122	C₂³	1	1	yes	characteristic
210	C₂×#6122	C₂³	1	1	yes	characteristic
211	C₂²×#1057	C₂³	1	1	yes	characteristic
212	C₂²×#1057	C₂³	1	1	yes	characteristic
213	C₂²×#1057	C₂³	1	1	yes	characteristic
214	C₂²×#1057	C₂³	1	1	yes	characteristic
215	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
217	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
218	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
219	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
220	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
225	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
226	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
227	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
230	#88200	C₂×C₄	1	1	yes	characteristic
231	#88200	C₂×C₄	1	1	yes	characteristic
232	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
233	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
234	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
235	#88198	C₂×C₄	1	1	yes	characteristic
236	#88198	C₂×C₄	1	1	yes	characteristic
237	#88198	C₂×C₄	1	1	yes	characteristic
238	#88198	C₂×C₄	1	1	yes	characteristic
239	#88198	C₂×C₄	1	1	yes	characteristic
240	#88198	C₂×C₄	1	1	yes	characteristic
241	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
242	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
243	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
244	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
245	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
246	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
247	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
248	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
249	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
250	#88178	C₂×C₄	1	1	yes	characteristic
251	#88178	C₂×C₄	1	1	yes	characteristic
252	#88178	C₂×C₄	1	1	yes	characteristic
253	#88178	C₂×C₄	1	1	yes	characteristic
254	#88178	C₂×C₄	1	1	yes	characteristic
255	#88178	C₂×C₄	1	1	yes	characteristic
256	C₂×#6101	C₂×C₄	1	1	yes	characteristic
257	C₂×#6101	C₂×C₄	1	1	yes	characteristic
258	C₂×#6101	C₂×C₄	1	1	yes	characteristic
259	C₂×#6101	C₂×C₄	1	1	yes	characteristic
260	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	#88151	C₂×C₄	1	1	yes	characteristic
267	#88151	C₂×C₄	1	1	yes	characteristic
268	#88150	C₂×C₄	1	1	yes	characteristic
269	#88150	C₂×C₄	1	1	yes	characteristic
270	#88150	C₂×C₄	1	1	yes	characteristic
271	#88150	C₂×C₄	1	1	yes	characteristic
272	#88150	C₂×C₄	1	1	yes	characteristic
273	#88150	C₂×C₄	1	1	yes	characteristic
274	#88150	C₂×C₄	1	1	yes	characteristic
275	#88150	C₂×C₄	1	1	yes	characteristic
276	#88146	C₂³	1	1	yes	characteristic
277	#88146	C₂³	1	1	yes	characteristic
278	#88146	C₂³	1	1	yes	characteristic
279	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
280	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
281	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
282	#88144	C₂×C₄	1	1	yes	characteristic
283	#88144	C₂×C₄	1	1	yes	characteristic
284	#88143	C₂×C₄	1	1	yes	characteristic
285	#88143	C₂×C₄	1	1	yes	characteristic
286	#88143	C₂×C₄	1	1	yes	characteristic
287	#88143	C₂×C₄	1	1	yes	characteristic
288	#88143	C₂×C₄	1	1	yes	characteristic
289	#88143	C₂×C₄	1	1	yes	characteristic
290	#88143	C₂×C₄	1	1	yes	characteristic
291	#88143	C₂×C₄	1	1	yes	characteristic
292	#88143	C₂×C₄	1	1	yes	characteristic
293	#88143	C₂×C₄	1	1	yes	characteristic
294	#88143	C₂×C₄	1	1	yes	characteristic
295	#88143	C₂×C₄	1	1	yes	characteristic
296	#88142	C₂×C₄	1	1	yes	characteristic
297	#88142	C₂×C₄	1	1	yes	characteristic
298	#88142	C₂×C₄	1	1	yes	characteristic
299	#88142	C₂×C₄	1	1	yes	characteristic
300	#88142	C₂×C₄	1	1	yes	characteristic
301	#88142	C₂×C₄	1	1	yes	characteristic
302	#88142	C₂×C₄	1	1	yes	characteristic
303	#88142	C₂×C₄	1	1	yes	characteristic
304	#88142	C₂×C₄	1	1	yes	characteristic
305	#88142	C₂×C₄	1	1	yes	characteristic
306	#88141	C₂×C₄	1	1	yes	characteristic
307	#88141	C₂×C₄	1	1	yes	characteristic
308	#88141	C₂×C₄	1	1	yes	characteristic
309	#88141	C₂×C₄	1	1	yes	characteristic
310	#88141	C₂×C₄	1	1	yes	characteristic
311	#88141	C₂×C₄	1	1	yes	characteristic
312	#88141	C₂×C₄	1	1	yes	characteristic
313	#88141	C₂×C₄	1	1	yes	characteristic
314	#88141	C₂×C₄	1	1	yes	characteristic
315	#88141	C₂×C₄	1	1	yes	characteristic
316	#88141	C₂×C₄	1	1	yes	characteristic
317	#88141	C₂³	1	1	yes	characteristic
318	#88141	C₂³	1	1	yes	characteristic
319	#88141	C₂³	1	1	yes	characteristic
320	#88141	C₂³	1	1	yes	characteristic
321	#88141	C₂³	1	1	yes	characteristic
322	#88141	C₂³	1	1	yes	characteristic
323	#88141	C₂³	1	1	yes	characteristic
324	#88141	C₂³	1	1	yes	characteristic
325	#88141	C₂³	1	1	yes	characteristic
326	#88141	C₂³	1	1	yes	characteristic
327	#88141	C₂³	1	1	yes	characteristic
328	#88141	C₂³	1	1	yes	characteristic
329	#88141	C₂³	1	1	yes	characteristic
330	#88135	C₂×C₄	1	1	yes	characteristic
331	#88135	C₂×C₄	1	1	yes	characteristic
332	#88135	C₂×C₄	1	1	yes	characteristic
333	#88135	C₂×C₄	1	1	yes	characteristic
334	#88135	C₂×C₄	1	1	yes	characteristic
335	#88135	C₂×C₄	1	1	yes	characteristic
336	#88132	C₂×C₄	1	1	yes	characteristic
337	#88132	C₂×C₄	1	1	yes	characteristic
338	#88132	C₂×C₄	1	1	yes	characteristic
339	#88132	C₂×C₄	1	1	yes	characteristic
340	#88132	C₂×C₄	1	1	yes	characteristic
341	#88132	C₂×C₄	1	1	yes	characteristic
342	#88132	C₂×C₄	1	1	yes	characteristic
343	#88132	C₂×C₄	1	1	yes	characteristic
344	#88132	C₂×C₄	1	1	yes	characteristic
345	#88132	C₂×C₄	1	1	yes	characteristic
346	#88132	C₂×C₄	1	1	yes	characteristic
347	#88132	C₂×C₄	1	1	yes	characteristic
348	#88131	C₂³	1	1	yes	characteristic
349	#88131	C₂³	1	1	yes	characteristic
350	#88131	C₂³	1	1	yes	characteristic
351	#88131	C₂³	1	1	yes	characteristic
352	#88131	C₂³	1	1	yes	characteristic
353	#88131	C₂³	1	1	yes	characteristic
354	C₄²×D₁₃	C₂³	1	1	yes	characteristic
355	C₄²×D₁₃	C₂³	1	1	yes	characteristic
356	C₄²×D₁₃	C₂³	1	1	yes	characteristic
357	#88124	C₂×C₄	1	1	yes	characteristic
358	#88124	C₂×C₄	1	1	yes	characteristic
359	#88123	C₂×C₄	1	1	yes	characteristic
360	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
361	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
362	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
363	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
364	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
365	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
366	C₂²⋊#1057	C₂³	1	1	yes	characteristic
367	C₂²⋊#1057	C₂³	1	1	yes	characteristic
368	C₂²⋊#1057	C₂³	1	1	yes	characteristic
369	C₂²⋊#1057	C₂³	1	1	yes	characteristic
370	C₂²⋊#1057	C₂³	1	1	yes	characteristic
371	C₂²⋊#1057	C₂³	1	1	yes	characteristic
372	C₂²⋊#1057	C₂³	1	1	yes	characteristic
373	C₂²⋊#1057	C₂³	1	1	yes	characteristic
374	#88112	C₂³	1	1	yes	characteristic
375	#88112	C₂³	1	1	yes	characteristic
376	#88112	C₂³	1	1	yes	characteristic
377	#88112	C₂³	1	1	yes	characteristic
378	#88112	C₂³	1	1	yes	characteristic
379	#88112	C₂³	1	1	yes	characteristic
380	#88112	C₂³	1	1	yes	characteristic
381	#88112	C₂³	1	1	yes	characteristic
382	#88112	C₂³	1	1	yes	characteristic
383	#88112	C₂³	1	1	yes	characteristic
384	#88112	C₂³	1	1	yes	characteristic
385	#88112	C₂³	1	1	yes	characteristic
386	#88112	C₂³	1	1	yes	characteristic
387	#88112	C₂³	1	1	yes	characteristic
388	#88112	C₂³	1	1	yes	characteristic
389	#88112	C₂³	1	1	yes	characteristic
390	#88112	C₂³	1	1	yes	characteristic
391	#88112	C₂³	1	1	yes	characteristic
392	#88112	C₂³	1	1	yes	characteristic
393	#88112	C₂³	1	1	yes	characteristic
394	#88112	C₂³	1	1	yes	characteristic
395	#88112	C₂³	1	1	yes	characteristic
396	#88112	C₂³	1	1	yes	characteristic
397	#88112	C₂³	1	1	yes	characteristic
398	#88112	C₂³	1	1	yes	characteristic
399	#88112	C₂³	1	1	yes	characteristic
400	#88111	C₂³	1	1	yes	characteristic
401	#88111	C₂³	1	1	yes	characteristic
402	#88111	C₂³	1	1	yes	characteristic
403	#88111	C₂³	1	1	yes	characteristic
404	#88111	C₂³	1	1	yes	characteristic
405	#88111	C₂³	1	1	yes	characteristic
406	#88111	C₂³	1	1	yes	characteristic
407	#88111	C₂³	1	1	yes	characteristic
408	#88110	C₂³	1	1	yes	characteristic
409	#88110	C₂³	1	1	yes	characteristic
410	#88110	C₂³	1	1	yes	characteristic
411	#88110	C₂³	1	1	yes	characteristic
412	#88110	C₂³	1	1	yes	characteristic
413	#88110	C₂³	1	1	yes	characteristic
414	#88110	C₂³	1	1	yes	characteristic
415	#88110	C₂³	1	1	yes	characteristic
416	#88110	C₂³	1	1	yes	characteristic
417	#88110	C₂³	1	1	yes	characteristic
418	#88110	C₂³	1	1	yes	characteristic
419	#88110	C₂³	1	1	yes	characteristic
420	#88110	C₂³	1	1	yes	characteristic
421	#88110	C₂³	1	1	yes	characteristic
422	#88110	C₂³	1	1	yes	characteristic
423	#88110	C₂³	1	1	yes	characteristic
424	#88110	C₂³	1	1	yes	characteristic
425	#88110	C₂³	1	1	yes	characteristic
426	#88110	C₂³	1	1	yes	characteristic
427	#88110	C₂³	1	1	yes	characteristic
428	#88110	C₂³	1	1	yes	characteristic
429	#88110	C₂³	1	1	yes	characteristic
430	#88110	C₂³	1	1	yes	characteristic
431	#88110	C₂³	1	1	yes	characteristic
432	#88110	C₂³	1	1	yes	characteristic
433	#88110	C₂³	1	1	yes	characteristic
434	C₄⋊#1057	C₂³	1	1	yes	characteristic
435	C₄⋊#1057	C₂³	1	1	yes	characteristic
436	C₄⋊#1057	C₂³	1	1	yes	characteristic
437	C₄⋊#1057	C₂³	1	1	yes	characteristic
438	C₄⋊#1057	C₂³	1	1	yes	characteristic
439	C₄⋊#1057	C₂³	1	1	yes	characteristic
440	C₄⋊#1057	C₂³	1	1	yes	characteristic
441	C₄⋊#1057	C₂³	1	1	yes	characteristic
442	C₄⋊#1057	C₂³	1	1	yes	characteristic
443	C₄⋊#1057	C₂³	1	1	yes	characteristic
444	C₄⋊#1057	C₂³	1	1	yes	characteristic
445	C₄⋊#1057	C₂³	1	1	yes	characteristic
446	C₄⋊#1057	C₂³	1	1	yes	characteristic
447	C₄⋊#1057	C₂³	1	1	yes	characteristic
448	C₄⋊#1057	C₂³	1	1	yes	characteristic
449	C₄⋊#1057	C₂³	1	1	yes	characteristic
450	C₄⋊#1057	C₂³	1	1	yes	characteristic
451	C₄⋊#1057	C₂³	1	1	yes	characteristic
452	C₄⋊#1057	C₂³	1	1	yes	characteristic
453	C₄⋊#1057	C₂³	1	1	yes	characteristic
454	C₄⋊#1057	C₂³	1	1	yes	characteristic
455	C₄⋊#1057	C₂³	1	1	yes	characteristic
456	C₄×#1057	C₂³	1	1	yes	characteristic
457	C₄×#1057	C₂³	1	1	yes	characteristic
458	C₄×#1057	C₂³	1	1	yes	characteristic
459	C₄×#1057	C₂³	1	1	yes	characteristic
460	C₄×#1057	C₂³	1	1	yes	characteristic
461	C₄×#1057	C₂³	1	1	yes	characteristic
462	C₄×#1057	C₂³	1	1	yes	characteristic
463	C₄×#1057	C₂³	1	1	yes	characteristic
464	C₄×#1057	C₂³	1	1	yes	characteristic
465	C₄×#1057	C₂³	1	1	yes	characteristic
466	C₄×#1057	C₂³	1	1	yes	characteristic
467	C₄×#1057	C₂³	1	1	yes	characteristic
468	C₄×#1057	C₂³	1	1	yes	characteristic
469	C₄×#1057	C₂³	1	1	yes	characteristic
470	C₄×#1057	C₂³	1	1	yes	characteristic
471	C₄×#1057	C₂³	1	1	yes	characteristic
472	C₄×#1057	C₂³	1	1	yes	characteristic
473	C₄×#1057	C₂³	1	1	yes	characteristic
474	C₄×#1057	C₂³	1	1	yes	characteristic
475	C₄×#1057	C₂³	1	1	yes	characteristic
476	C₄×#1057	C₂³	1	1	yes	characteristic
477	C₄×#1057	C₂³	1	1	yes	characteristic
478	#60254	—	13	1	no	maximal, Sylow
479	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
482	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
483	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
484	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
485	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
486	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
487	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
488	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
495	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
496	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
497	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
498	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
499	Q₈×D₁₃	—	4	2	no	—
500	#6129	—	2	2	no	—
501	#6129	—	2	2	no	—
502	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×Dic₂₆	—	4	2	no	—
510	C₂×Dic₂₆	—	4	2	no	—
511	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
512	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
513	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
514	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
515	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
516	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
517	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
518	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
519	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
520	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
521	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
522	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
523	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
524	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
525	#6122	—	2	2	no	—
526	#6122	—	2	2	no	—
527	#6122	—	2	2	no	—
528	#6122	—	2	2	no	—
529	C₂×#1057	—	2	2	no	—
530	C₂×#1057	—	2	2	no	—
531	C₂×#1057	—	2	2	no	—
532	C₂×#1057	—	2	2	no	—
533	C₂×#1057	C₂⁴	1	1	yes	characteristic
534	C₂×#1057	C₂⁴	1	1	yes	characteristic
535	C₂×#1057	C₂⁴	1	1	yes	characteristic
536	C₂×#1057	C₂⁴	1	1	yes	characteristic
537	C₂×#1057	C₂⁴	1	1	yes	characteristic
538	C₂×#1057	C₂⁴	1	1	yes	characteristic
539	C₂×#1057	C₂⁴	1	1	yes	characteristic
540	C₂×#1057	C₂⁴	1	1	yes	characteristic
541	C₂×#1057	C₂⁴	1	1	yes	characteristic
542	C₂×#1057	C₂⁴	1	1	yes	characteristic
543	C₂×#1057	C₂⁴	1	1	yes	characteristic
544	C₂×#1057	C₂⁴	1	1	yes	characteristic
545	C₂×#1057	C₂⁴	1	1	yes	characteristic
546	C₂×#1057	C₂⁴	1	1	yes	characteristic
547	C₂×#1057	C₂⁴	1	1	yes	characteristic
548	C₂×#1057	C₂⁴	1	1	yes	characteristic
549	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
572	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
573	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
574	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
575	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
576	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
577	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
578	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
580	#6103	C₂²×C₄	1	1	yes	characteristic
581	#6103	C₂²×C₄	1	1	yes	characteristic
582	#6103	C₂²×C₄	1	1	yes	characteristic
583	#6103	C₂²×C₄	1	1	yes	characteristic
584	#6103	C₂²×C₄	1	1	yes	characteristic
585	#6103	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
598	#6101	C₂²×C₄	1	1	yes	characteristic
599	#6101	C₂²×C₄	1	1	yes	characteristic
600	#6101	C₂²×C₄	1	1	yes	characteristic
601	#6101	C₂²×C₄	1	1	yes	characteristic
602	#6101	C₂²×C₄	1	1	yes	characteristic
603	#6101	C₂²×C₄	1	1	yes	characteristic
604	#6101	C₂²×C₄	1	1	yes	characteristic
605	#6101	C₂²×C₄	1	1	yes	characteristic
606	#6101	C₂²×C₄	1	1	yes	characteristic
607	#6101	C₂²×C₄	1	1	yes	characteristic
608	#6101	C₂²×C₄	1	1	yes	characteristic
609	#6101	C₂²×C₄	1	1	yes	characteristic
610	#6101	C₂²×C₄	1	1	yes	characteristic
611	#6101	C₂²×C₄	1	1	yes	characteristic
612	#6101	C₂²×C₄	1	1	yes	characteristic
613	#6101	C₂²×C₄	1	1	yes	characteristic
614	#6101	C₂²×C₄	1	1	yes	characteristic
615	#6101	C₂²×C₄	1	1	yes	characteristic
616	#6101	C₂²×C₄	1	1	yes	characteristic
617	#6101	C₂²×C₄	1	1	yes	characteristic
618	#6101	C₂²×C₄	1	1	yes	characteristic
619	#6101	C₂²×C₄	1	1	yes	characteristic
620	#6101	C₂²×C₄	1	1	yes	characteristic
621	#6101	C₂²×C₄	1	1	yes	characteristic
622	#6101	C₂²×C₄	1	1	yes	characteristic
623	#6101	C₂²×C₄	1	1	yes	characteristic
624	#6101	C₂²×C₄	1	1	yes	characteristic
625	#6101	C₂²×C₄	1	1	yes	characteristic
626	#6101	C₂²×C₄	1	1	yes	characteristic
627	#6101	C₂²×C₄	1	1	yes	characteristic
628	#6101	C₂²×C₄	1	1	yes	characteristic
629	#6101	C₂²×C₄	1	1	yes	characteristic
630	#6101	C₂²×C₄	1	1	yes	characteristic
631	#6101	C₂²×C₄	1	1	yes	characteristic
632	#6101	C₂²×C₄	1	1	yes	characteristic
633	#6101	C₂²×C₄	1	1	yes	characteristic
634	#6101	C₂²×C₄	1	1	yes	characteristic
635	#6101	C₂²×C₄	1	1	yes	characteristic
636	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
637	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
638	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
639	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
640	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
641	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
642	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
643	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
644	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
645	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
646	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
647	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
648	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
649	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
650	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
652	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
653	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄×Dic₁₃	C₂⁴	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	Q₈×#41	—	13	1	no	—
664	#2987	—	13	1	no	—
665	#2987	—	13	1	no	—
666	#2987	—	13	1	no	—
667	#2987	—	13	1	no	—
668	#2986	—	13	1	no	—
669	#2986	—	13	1	no	—
670	#2985	—	13	1	no	—
671	#2985	—	13	1	no	—
672	#2985	—	13	1	no	—
673	#2985	—	13	1	no	—
674	#2985	—	13	1	no	—
675	#2985	—	13	1	no	—
676	#2984	—	13	1	no	—
677	#2984	—	13	1	no	—
678	#2983	—	13	1	no	—
679	#2983	—	13	1	no	—
680	Q₈×M₁₆	—	13	1	no	—
681	#2962	—	13	1	no	—
682	#2962	—	13	1	no	—
683	#2962	—	13	1	no	—
684	#2961	—	13	1	no	—
685	#2961	—	13	1	no	—
686	#2960	—	13	1	no	—
687	C₂×#446	—	13	1	no	—
688	#2925	—	13	1	no	—
689	#2925	—	13	1	no	—
690	#2925	—	13	1	no	—
691	#2923	—	13	1	no	—
692	#2923	—	13	1	no	—
693	#2922	—	13	1	no	—
694	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
695	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
696	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
697	Q₈×C₁₃	—	4	1	no	—
698	Q₈×C₁₃	—	4	1	no	—
699	Q₈×C₁₃	—	4	1	no	—
700	D₄×C₁₃	—	2	2	no	—
701	C₂×C₄×C₁₃	—	4	1	no	—
702	C₂×C₄×C₁₃	—	4	1	no	—
703	C₂×C₄×C₁₃	—	4	1	no	—
704	C₂×C₄×C₁₃	—	4	1	no	—
705	C₂×C₄×C₁₃	—	4	1	no	—
706	C₂×C₄×C₁₃	—	4	1	no	—
707	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
708	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
709	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
710	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
711	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
712	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
713	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
714	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
715	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
716	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
717	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
720	C₂²⋊D₁₃	—	2	2	no	—
721	C₂²⋊D₁₃	—	2	2	no	—
722	C₂×Dic₁₃	—	2	2	no	—
723	C₂×Dic₁₃	—	2	2	no	—
724	C₂×Dic₁₃	—	2	1	no	—
725	C₂×Dic₁₃	—	2	1	no	—
726	C₂×Dic₁₃	—	4	1	no	—
727	C₂×Dic₁₃	—	4	1	no	—
728	C₂×Dic₁₃	—	4	1	no	—
729	C₂×Dic₁₃	—	4	1	no	—
730	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
731	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
732	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
733	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
734	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
735	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
736	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
737	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
738	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
739	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
740	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
741	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
742	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
745	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
746	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
747	C₄×D₁₃	—	2	2	no	—
748	C₄×D₁₃	—	2	1	no	—
749	C₄×D₁₃	—	2	1	no	—
750	C₄×D₁₃	—	4	1	no	—
751	C₄×D₁₃	—	4	1	no	—
752	C₄×D₁₃	—	4	1	no	—
753	C₄×D₁₃	—	4	1	no	—
754	C₄×D₁₃	—	4	1	no	—
755	Dic₂₆	—	2	2	no	—
756	Dic₂₆	—	2	2	no	—
757	Dic₂₆	—	2	2	no	—
758	Dic₂₆	—	2	2	no	—
759	Dic₂₆	—	2	2	no	—
760	Dic₂₆	—	4	1	no	—
761	Dic₂₆	—	4	1	no	—
762	Dic₂₆	—	4	1	no	—
763	Dic₂₆	—	4	1	no	—
764	Dic₂₆	—	4	1	no	—
765	Dic₂₆	—	4	1	no	—
766	Dic₂₆	—	4	1	no	—
767	Dic₂₆	—	4	1	no	—
768	Dic₂₆	—	4	1	no	—
769	#1057	—	2	1	no	—
770	#1057	—	2	1	no	—
771	#1057	—	2	1	no	—
772	#1057	—	2	1	no	—
773	#1057	—	2	1	no	—
774	#1057	—	2	1	no	—
775	#1057	—	2	1	no	—
776	#1057	—	2	1	no	—
777	#1057	—	2	1	no	—
778	#1057	—	2	1	no	—
779	#1057	—	2	1	no	—
780	#1057	—	2	1	no	—
781	#1057	—	2	1	no	—
782	#1057	—	2	1	no	—
783	#1057	—	2	1	no	—
784	#1057	—	2	1	no	—
785	Q₈²	—	13	1	no	—
786	#557	—	13	1	no	—
787	#557	—	13	1	no	—
788	#557	—	13	1	no	—
789	#554	—	13	1	no	—
790	#554	—	13	1	no	—
791	#554	—	13	1	no	—
792	#554	—	13	1	no	—
793	#554	—	13	1	no	—
794	#554	—	13	1	no	—
795	#554	—	13	1	no	—
796	#554	—	13	1	no	—
797	#554	#261	1	1	yes	characteristic
798	D₄×Q₈	—	13	1	no	—
799	D₄×Q₈	—	13	1	no	—
800	D₄×Q₈	—	13	1	no	—
801	#533	—	13	1	no	—
802	#533	—	13	1	no	—
803	#533	—	13	1	no	—
804	#533	—	13	1	no	—
805	#533	—	13	1	no	—
806	#533	—	13	1	no	—
807	#533	—	13	1	no	—
808	#533	—	13	1	no	—
809	#533	—	13	1	no	—
810	C₄×#41	—	13	1	no	—
811	C₄×#41	—	13	1	no	—
812	C₄×#41	—	13	1	no	—
813	C₂×C₄×Q₈	—	13	1	no	—
814	C₂×C₄×Q₈	—	13	1	no	—
815	C₂×C₄×Q₈	—	13	1	no	—
816	#446	—	13	1	no	—
817	#446	—	13	1	no	—
818	#446	—	13	1	no	—
819	#446	—	13	1	no	—
820	#446	—	13	1	no	—
821	#446	—	13	1	no	—
822	#446	—	13	1	no	—
823	#446	—	13	1	no	—
824	#446	—	13	1	no	—
825	#446	—	13	1	no	—
826	#446	—	13	1	no	—
827	#446	—	13	1	no	—
828	#446	—	13	1	no	—
829	#446	—	13	1	no	—
830	#446	—	13	1	no	—
831	#446	—	13	1	no	—
832	#446	—	13	1	no	—
833	#446	—	13	1	no	—
834	#446	—	13	1	no	—
835	#446	—	13	1	no	—
836	#446	—	13	1	no	—
837	#446	—	13	1	no	—
838	#446	—	13	1	no	—
839	#446	—	13	1	no	—
840	#446	—	13	1	no	—
841	#446	—	13	1	no	—
842	#446	—	13	1	no	—
843	#446	—	13	1	no	—
844	#446	—	13	1	no	—
845	#446	—	13	1	no	—
846	#446	—	13	1	no	—
847	#446	—	13	1	no	—
848	#446	—	13	1	no	—
849	#446	—	13	1	no	—
850	#446	—	13	1	no	—
851	#446	—	13	1	no	—
852	#446	—	13	1	no	—
853	#446	—	13	1	no	—
854	#446	—	13	1	no	—
855	#446	—	13	1	no	—
856	#446	—	13	1	no	—
857	#446	—	13	1	no	—
858	#446	—	13	1	no	—
859	#446	—	13	1	no	—
860	#446	—	13	1	no	—
861	#446	—	13	1	no	—
862	#446	—	13	1	no	—
863	#446	—	13	1	no	—
864	#446	—	13	1	no	—
865	#446	—	13	1	no	—
866	#446	—	13	1	no	—
867	#446	—	13	1	no	—
868	C₈×Q₈	—	13	1	no	—
869	C₈×Q₈	—	13	1	no	—
870	C₈×Q₈	—	13	1	no	—
871	C₈×Q₈	—	13	1	no	—
872	C₈×Q₈	—	13	1	no	—
873	C₈×Q₈	—	13	1	no	—
874	C₈×Q₈	—	13	1	no	—
875	C₈×Q₈	—	13	1	no	—
876	C₈×Q₈	—	13	1	no	—
877	C₈×Q₈	—	13	1	no	—
878	C₈×Q₈	—	13	1	no	—
879	C₈×Q₈	—	13	1	no	—
880	#433	—	13	1	no	—
881	#433	—	13	1	no	—
882	#433	—	13	1	no	—
883	#433	—	13	1	no	—
884	#433	—	13	1	no	—
885	#433	—	13	1	no	—
886	#433	—	13	1	no	—
887	#433	—	13	1	no	—
888	#433	—	13	1	no	—
889	#433	—	13	1	no	—
890	#433	—	13	1	no	—
891	#433	—	13	1	no	—
892	#433	—	13	1	no	—
893	#433	—	13	1	no	—
894	#433	—	13	1	no	—
895	#433	—	13	1	no	—
896	#433	—	13	1	no	—
897	#433	—	13	1	no	—
898	#433	—	13	1	no	—
899	#433	—	13	1	no	—
900	#433	—	13	1	no	—
901	#433	—	13	1	no	—
902	#433	—	13	1	no	—
903	#433	—	13	1	no	—
904	#432	—	13	1	no	—
905	#432	—	13	1	no	—
906	#432	—	13	1	no	—
907	#432	—	13	1	no	—
908	#432	—	13	1	no	—
909	#432	—	13	1	no	—
910	#432	—	13	1	no	—
911	#432	—	13	1	no	—
912	#432	—	13	1	no	—
913	#432	—	13	1	no	—
914	#432	—	13	1	no	—
915	#432	—	13	1	no	—
916	#432	—	13	1	no	—
917	#432	—	13	1	no	—
918	#431	—	13	1	no	—
919	#431	—	13	1	no	—
920	#431	—	13	1	no	—
921	#431	—	13	1	no	—
922	#431	—	13	1	no	—
923	#431	—	13	1	no	—
924	#431	—	13	1	no	—
925	#431	—	13	1	no	—
926	#431	—	13	1	no	—
927	#431	—	13	1	no	—
928	#424	—	13	1	no	—
929	#424	—	13	1	no	—
930	#424	—	13	1	no	—
931	#424	—	13	1	no	—
932	#424	—	13	1	no	—
933	#424	—	13	1	no	—
934	#423	—	13	1	no	—
935	#423	—	13	1	no	—
936	#423	—	13	1	no	—
937	C₂×C₄⋊C₈	—	13	1	no	—
938	C₂×C₄⋊C₈	—	13	1	no	—
939	C₂×C₄⋊C₈	—	13	1	no	—
940	#408	—	13	1	no	—
941	#408	—	13	1	no	—
942	#408	—	13	1	no	—
943	#408	—	13	1	no	—
944	#405	—	13	1	no	—
945	#405	—	13	1	no	—
946	#405	—	13	1	no	—
947	#405	—	13	1	no	—
948	#405	—	13	1	no	—
949	#405	—	13	1	no	—
950	C₄×M₁₆	—	13	1	no	—
951	C₄×M₁₆	—	13	1	no	—
952	C₄×M₁₆	—	13	1	no	—
953	C₂×#97	—	13	1	no	—
954	C₂×#97	—	13	1	no	—
955	C₂×C₄×C₈	—	13	1	no	—
956	C₂²×C₁₃	—	2	1	no	—
957	C₂²×C₁₃	—	2	1	no	—
958	C₂²×C₁₃	—	2	1	no	—
959	C₂²×C₁₃	—	2	1	no	—
960	C₂²×C₁₃	—	2	1	no	—
961	C₂²×C₁₃	#519	1	2	yes	—
962	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
963	C₂×D₁₃	—	2	1	no	—
964	C₂×D₁₃	—	2	1	no	—
965	C₂×D₁₃	—	2	1	no	—
966	C₄×C₁₃	—	2	1	no	—
967	C₄×C₁₃	—	2	1	no	—
968	C₄×C₁₃	—	2	1	no	—
969	C₄×C₁₃	—	2	1	no	—
970	C₄×C₁₃	—	2	1	no	—
971	C₄×C₁₃	—	2	1	no	—
972	C₄×C₁₃	—	2	1	no	—
973	C₄×C₁₃	—	2	1	no	—
974	C₄×C₁₃	—	2	1	no	—
975	C₄×C₁₃	—	2	1	no	—
976	C₄×C₁₃	—	2	1	no	—
977	C₄×C₁₃	—	2	1	no	—
978	C₄×C₁₃	—	2	1	no	—
979	Dic₁₃	—	2	1	no	—
980	Dic₁₃	—	2	1	no	—
981	Dic₁₃	—	2	1	no	—
982	Dic₁₃	—	2	1	no	—
983	Dic₁₃	—	2	1	no	—
984	Dic₁₃	—	2	1	no	—
985	Dic₁₃	—	2	1	no	—
986	Dic₁₃	—	2	1	no	—
987	Dic₁₃	—	2	1	no	—
988	Dic₁₃	—	2	1	no	—
989	Dic₁₃	—	2	1	no	—
990	Dic₁₃	—	2	1	no	—
991	Dic₁₃	#519	1	2	yes	—
992	Dic₁₃	#568	1	2	yes	—
993	Dic₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
994	Dic₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
995	C₂×#41	—	13	1	no	—
996	C₂²×Q₈	—	13	1	no	—
997	C₂²×Q₈	—	13	1	no	—
998	C₂²×Q₈	—	13	1	no	—
999	C₂×M₁₆	—	13	1	no	—
1000	C₂×M₁₆	—	13	1	no	—
1001	C₂×M₁₆	—	13	1	no	—
1002	C₂×M₁₆	—	13	1	no	—
1003	C₂²×C₈	—	13	1	no	—
1004	C₂²×C₈	—	13	1	no	—
1005	C₂²×C₈	—	13	1	no	—
1006	C₂²×C₈	—	13	1	no	—
1007	C₄⋊Q₈	—	13	1	no	—
1008	C₄⋊Q₈	—	13	1	no	—
1009	C₄⋊Q₈	—	13	1	no	—
1010	C₄⋊Q₈	—	13	1	no	—
1011	C₄⋊Q₈	—	13	1	no	—
1012	C₄⋊Q₈	—	13	1	no	—
1013	C₄⋊Q₈	—	13	1	no	—
1014	C₄⋊Q₈	—	13	1	no	—
1015	C₄⋊Q₈	—	13	1	no	—
1016	C₄⋊Q₈	—	13	1	no	—
1017	C₄⋊Q₈	—	13	1	no	—
1018	C₄⋊Q₈	—	13	1	no	—
1019	C₄⋊Q₈	—	13	1	no	—
1020	C₄⋊Q₈	—	13	1	no	—
1021	C₄⋊Q₈	—	13	1	no	—
1022	C₄⋊Q₈	—	13	1	no	—
1023	C₄⋊Q₈	—	13	1	no	—
1024	C₄⋊Q₈	C₂×#261	1	1	yes	characteristic
1025	#125	—	13	1	no	—
1026	#125	—	13	1	no	—
1027	#125	—	13	1	no	—
1028	#125	—	13	1	no	—
1029	#125	—	13	1	no	—
1030	#125	—	13	1	no	—
1031	#125	—	13	1	no	—
1032	#125	—	13	1	no	—
1033	#125	—	13	1	no	—
1034	#125	—	13	1	no	—
1035	#125	—	13	1	no	—
1036	#125	—	13	1	no	—
1037	#125	—	13	1	no	—
1038	#125	—	13	1	no	—
1039	#125	—	13	1	no	—
1040	#125	—	13	1	no	—
1041	#125	C₂×#261	1	1	yes	characteristic
1042	#125	C₂×#261	1	1	yes	characteristic
1043	C₂²⋊Q₈	—	13	1	no	—
1044	C₂²⋊Q₈	—	13	1	no	—
1045	C₂²⋊Q₈	—	13	1	no	—
1046	C₂²⋊Q₈	—	13	1	no	—
1047	C₂²⋊Q₈	—	13	1	no	—
1048	C₂²⋊Q₈	—	13	1	no	—
1049	C₂²⋊Q₈	—	13	1	no	—
1050	C₂²⋊Q₈	—	13	1	no	—
1051	C₂²⋊Q₈	—	13	1	no	—
1052	C₂²⋊Q₈	—	13	1	no	—
1053	C₂²⋊Q₈	—	13	1	no	—
1054	C₂²⋊Q₈	—	13	1	no	—
1055	C₂²⋊Q₈	—	13	1	no	—
1056	C₂²⋊Q₈	—	13	1	no	—
1057	C₂²⋊Q₈	—	13	1	no	—
1058	C₂²⋊Q₈	—	13	1	no	—
1059	C₂²⋊Q₈	—	13	1	no	—
1060	C₂²⋊Q₈	—	13	1	no	—
1061	C₂²⋊Q₈	—	13	1	no	—
1062	C₂²⋊Q₈	—	13	1	no	—
1063	C₂²⋊Q₈	—	13	1	no	—
1064	C₂²⋊Q₈	—	13	1	no	—
1065	C₂²⋊Q₈	—	13	1	no	—
1066	C₂²⋊Q₈	—	13	1	no	—
1067	C₂²⋊Q₈	—	13	1	no	—
1068	C₂²⋊Q₈	—	13	1	no	—
1069	C₂²⋊Q₈	—	13	1	no	—
1070	C₂²⋊Q₈	—	13	1	no	—
1071	C₂²⋊Q₈	—	13	1	no	—
1072	C₂²⋊Q₈	—	13	1	no	—
1073	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1074	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1075	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1076	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1077	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1078	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic
1079	C₄×Q₈	—	13	1	no	—
1080	C₄×Q₈	—	13	1	no	—
1081	C₄×Q₈	—	13	1	no	—
1082	C₄×Q₈	—	13	1	no	—
1083	C₄×Q₈	—	13	1	no	—
1084	C₄×Q₈	—	13	1	no	—
1085	C₄×Q₈	—	13	1	no	—
1086	C₄×Q₈	—	13	1	no	—
1087	C₄×Q₈	—	13	1	no	—
1088	C₄×Q₈	—	13	1	no	—
1089	C₄×Q₈	—	13	1	no	—
1090	C₄×Q₈	—	13	1	no	—
1091	C₄×Q₈	—	13	1	no	—
1092	C₄×Q₈	—	13	1	no	—
1093	C₄×Q₈	—	13	1	no	—
1094	C₄×Q₈	—	13	1	no	—
1095	C₄×Q₈	—	13	1	no	—
1096	C₄×Q₈	—	13	1	no	—
1097	C₄×Q₈	—	13	1	no	—
1098	C₄×Q₈	—	13	1	no	—
1099	C₄×Q₈	—	13	1	no	—
1100	C₄×Q₈	—	13	1	no	—
1101	C₄×Q₈	—	13	1	no	—
1102	C₄×Q₈	—	13	1	no	—
1103	C₄×Q₈	—	13	1	no	—
1104	C₄×Q₈	—	13	1	no	—
1105	C₄×Q₈	—	13	1	no	—
1106	C₄×Q₈	—	13	1	no	—
1107	C₄×Q₈	—	13	1	no	—
1108	C₄×Q₈	—	13	1	no	—
1109	C₄×Q₈	—	13	1	no	—
1110	C₄×Q₈	—	13	1	no	—
1111	C₄×Q₈	—	13	1	no	—
1112	C₄×Q₈	C₂×#261	1	1	yes	characteristic
1113	C₄×D₄	—	13	1	no	—
1114	C₄×D₄	—	13	1	no	—
1115	C₄×D₄	—	13	1	no	—
1116	C₄×D₄	—	13	1	no	—
1117	C₄×D₄	—	13	1	no	—
1118	C₄×D₄	—	13	1	no	—
1119	C₄×D₄	—	13	1	no	—
1120	C₄×D₄	—	13	1	no	—
1121	C₄×D₄	—	13	1	no	—
1122	C₄×D₄	—	13	1	no	—
1123	C₄×D₄	—	13	1	no	—
1124	C₄×D₄	—	13	1	no	—
1125	C₄×D₄	—	13	1	no	—
1126	C₄×D₄	—	13	1	no	—
1127	C₄×D₄	—	13	1	no	—
1128	C₄×D₄	C₂×#261	1	1	yes	characteristic
1129	C₄×D₄	C₂×#261	1	1	yes	characteristic
1130	C₄×D₄	C₂×#261	1	1	yes	characteristic
1131	#117	—	13	1	no	—
1132	#117	—	13	1	no	—
1133	#117	—	13	1	no	—
1134	#117	—	13	1	no	—
1135	#117	—	13	1	no	—
1136	#117	—	13	1	no	—
1137	#117	—	13	1	no	—
1138	#117	—	13	1	no	—
1139	#117	—	13	1	no	—
1140	C₂×C₄⋊C₄	—	13	1	no	—
1141	C₂×C₄⋊C₄	—	13	1	no	—
1142	C₂×C₄⋊C₄	—	13	1	no	—
1143	C₂×C₄⋊C₄	—	13	1	no	—
1144	C₂×C₄⋊C₄	—	13	1	no	—
1145	C₂×C₄⋊C₄	—	13	1	no	—
1146	C₂×C₄⋊C₄	—	13	1	no	—
1147	C₂×C₄⋊C₄	C₂×#261	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	C₂×#261	1	1	yes	characteristic
1149	C₂×C₄²	—	13	1	no	—
1150	C₂×C₄²	—	13	1	no	—
1151	C₂×C₄²	—	13	1	no	—
1152	C₂×C₄²	—	13	1	no	—
1153	C₂×C₄²	—	13	1	no	—
1154	C₂×C₄²	—	13	1	no	—
1155	C₂×C₄²	—	13	1	no	—
1156	C₂×C₄²	—	13	1	no	—
1157	C₂×C₄²	—	13	1	no	—
1158	C₄⋊C₈	—	13	1	no	—
1159	C₄⋊C₈	—	13	1	no	—
1160	C₄⋊C₈	—	13	1	no	—
1161	C₄⋊C₈	—	13	1	no	—
1162	C₄⋊C₈	—	13	1	no	—
1163	C₄⋊C₈	—	13	1	no	—
1164	C₄⋊C₈	—	13	1	no	—
1165	C₄⋊C₈	—	13	1	no	—
1166	C₄⋊C₈	—	13	1	no	—
1167	C₄⋊C₈	—	13	1	no	—
1168	C₄⋊C₈	—	13	1	no	—
1169	C₄⋊C₈	—	13	1	no	—
1170	C₄⋊C₈	—	13	1	no	—
1171	C₄⋊C₈	—	13	1	no	—
1172	C₄⋊C₈	—	13	1	no	—
1173	C₄⋊C₈	—	13	1	no	—
1174	C₄⋊C₈	—	13	1	no	—
1175	C₄⋊C₈	—	13	1	no	—
1176	C₄⋊C₈	—	13	1	no	—
1177	C₄⋊C₈	—	13	1	no	—
1178	C₄⋊C₈	—	13	1	no	—
1179	C₄⋊C₈	—	13	1	no	—
1180	C₄⋊C₈	—	13	1	no	—
1181	C₄⋊C₈	—	13	1	no	—
1182	C₄⋊C₈	—	13	1	no	—
1183	C₄⋊C₈	—	13	1	no	—
1184	C₄⋊C₈	—	13	1	no	—
1185	C₄⋊C₈	—	13	1	no	—
1186	C₄⋊C₈	—	13	1	no	—
1187	C₄⋊C₈	—	13	1	no	—
1188	C₄⋊C₈	—	13	1	no	—
1189	C₄⋊C₈	—	13	1	no	—
1190	C₄⋊C₈	—	13	1	no	—
1191	C₄⋊C₈	—	13	1	no	—
1192	C₄⋊C₈	—	13	1	no	—
1193	C₄⋊C₈	—	13	1	no	—
1194	C₄⋊C₈	—	13	1	no	—
1195	C₄⋊C₈	—	13	1	no	—
1196	C₄⋊C₈	—	13	1	no	—
1197	C₄⋊C₈	—	13	1	no	—
1198	C₄⋊C₈	—	13	1	no	—
1199	C₄⋊C₈	—	13	1	no	—
1200	C₄⋊C₈	—	13	1	no	—
1201	C₄⋊C₈	—	13	1	no	—
1202	C₄⋊C₈	—	13	1	no	—
1203	C₄⋊C₈	—	13	1	no	—
1204	C₄⋊C₈	—	13	1	no	—
1205	C₄⋊C₈	—	13	1	no	—
1206	C₂²⋊C₈	—	13	1	no	—
1207	C₂²⋊C₈	—	13	1	no	—
1208	C₂²⋊C₈	—	13	1	no	—
1209	C₂²⋊C₈	—	13	1	no	—
1210	C₂²⋊C₈	—	13	1	no	—
1211	C₂²⋊C₈	—	13	1	no	—
1212	C₂²⋊C₈	—	13	1	no	—
1213	C₂²⋊C₈	—	13	1	no	—
1214	C₂²⋊C₈	—	13	1	no	—
1215	C₂²⋊C₈	—	13	1	no	—
1216	C₂²⋊C₈	—	13	1	no	—
1217	C₂²⋊C₈	—	13	1	no	—
1218	C₂²⋊C₈	—	13	1	no	—
1219	C₂²⋊C₈	—	13	1	no	—
1220	C₂²⋊C₈	—	13	1	no	—
1221	C₂²⋊C₈	—	13	1	no	—
1222	#97	—	13	1	no	—
1223	#97	—	13	1	no	—
1224	#97	—	13	1	no	—
1225	#97	—	13	1	no	—
1226	#97	—	13	1	no	—
1227	#97	—	13	1	no	—
1228	#97	—	13	1	no	—
1229	#97	—	13	1	no	—
1230	#97	—	13	1	no	—
1231	#97	—	13	1	no	—
1232	#97	—	13	1	no	—
1233	#97	—	13	1	no	—
1234	#97	—	13	1	no	—
1235	#97	—	13	1	no	—
1236	#97	—	13	1	no	—
1237	#97	—	13	1	no	—
1238	#97	—	13	1	no	—
1239	#97	—	13	1	no	—
1240	#97	—	13	1	no	—
1241	#97	—	13	1	no	—
1242	#97	—	13	1	no	—
1243	#97	—	13	1	no	—
1244	#97	—	13	1	no	—
1245	#97	—	13	1	no	—
1246	#97	—	13	1	no	—
1247	#97	—	13	1	no	—
1248	C₄×C₈	—	13	1	no	—
1249	C₄×C₈	—	13	1	no	—
1250	C₄×C₈	—	13	1	no	—
1251	C₄×C₈	—	13	1	no	—
1252	C₄×C₈	—	13	1	no	—
1253	C₄×C₈	—	13	1	no	—
1254	C₄×C₈	—	13	1	no	—
1255	C₄×C₈	—	13	1	no	—
1256	C₄×C₈	—	13	1	no	—
1257	C₄×C₈	—	13	1	no	—
1258	C₄×C₈	—	13	1	no	—
1259	C₄×C₈	—	13	1	no	—
1260	C₄×C₈	—	13	1	no	—
1261	C₄×C₈	—	13	1	no	—
1262	C₄×C₈	—	13	1	no	—
1263	C₄×C₈	—	13	1	no	—
1264	C₄×C₈	—	13	1	no	—
1265	C₄×C₈	—	13	1	no	—
1266	C₄×C₈	—	13	1	no	—
1267	C₄×C₈	—	13	1	no	—
1268	C₄×C₈	—	13	1	no	—
1269	C₄×C₈	—	13	1	no	—
1270	C₂×C₁₃	—	2	2	no	—
1271	C₂×C₁₃	—	4	1	no	—
1272	C₂×C₁₃	C₂×#519	1	1	yes	characteristic
1273	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1274	C₂×C₁₃	#3573	1	1	yes	characteristic
1275	D₁₃	—	4	1	no	—
1276	#41	—	26	2	no	—
1277	#41	—	26	2	no	—
1278	C₂×Q₈	—	13	1	no	—
1279	C₂×Q₈	—	13	1	no	—
1280	C₂×Q₈	—	13	1	no	—
1281	C₂×Q₈	—	13	1	no	—
1282	C₂×Q₈	—	13	1	no	—
1283	C₂×Q₈	—	13	1	no	—
1284	C₂×Q₈	—	13	1	no	—
1285	C₂×Q₈	—	13	1	no	—
1286	C₂×Q₈	—	13	1	no	—
1287	C₂×Q₈	—	13	1	no	—
1288	C₂×Q₈	—	13	1	no	—
1289	C₂×Q₈	—	13	1	no	—
1290	C₂×Q₈	—	13	1	no	—
1291	C₂×Q₈	—	13	1	no	—
1292	C₂×Q₈	—	52	2	no	—
1293	C₂×Q₈	—	52	2	no	—
1294	C₂×Q₈	—	52	2	no	—
1295	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1296	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1297	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1298	C₂×D₄	—	13	1	no	—
1299	C₂×D₄	—	13	1	no	—
1300	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1301	C₂²×C₄	—	13	1	no	—
1302	C₂²×C₄	—	13	1	no	—
1303	C₂²×C₄	—	13	1	no	—
1304	C₂²×C₄	—	13	1	no	—
1305	C₂²×C₄	—	13	1	no	—
1306	C₂²×C₄	—	13	1	no	—
1307	C₂²×C₄	—	13	1	no	—
1308	C₂²×C₄	—	13	1	no	—
1309	C₂²×C₄	—	13	1	no	—
1310	C₂²×C₄	—	13	1	no	—
1311	C₂²×C₄	—	13	1	no	—
1312	C₂²×C₄	—	13	1	no	—
1313	C₂²×C₄	—	13	1	no	—
1314	C₂²×C₄	—	13	1	no	—
1315	C₂²×C₄	—	13	1	no	—
1316	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1317	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1318	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1319	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1320	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1321	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1322	M₁₆	—	26	2	no	—
1323	M₁₆	—	26	2	no	—
1324	M₁₆	—	26	2	no	—
1325	M₁₆	—	26	2	no	—
1326	C₂×C₈	—	13	1	no	—
1327	C₂×C₈	—	13	1	no	—
1328	C₂×C₈	—	13	1	no	—
1329	C₂×C₈	—	13	1	no	—
1330	C₂×C₈	—	13	1	no	—
1331	C₂×C₈	—	13	1	no	—
1332	C₂×C₈	—	13	1	no	—
1333	C₂×C₈	—	13	1	no	—
1334	C₂×C₈	—	13	1	no	—
1335	C₂×C₈	—	13	1	no	—
1336	C₂×C₈	—	13	1	no	—
1337	C₂×C₈	—	13	1	no	—
1338	C₂×C₈	—	13	1	no	—
1339	C₂×C₈	—	13	1	no	—
1340	C₂×C₈	—	13	1	no	—
1341	C₂×C₈	—	13	1	no	—
1342	C₂×C₈	—	26	2	no	—
1343	C₂×C₈	—	26	2	no	—
1344	C₂×C₈	—	26	2	no	—
1345	C₂×C₈	—	26	2	no	—
1346	C₄⋊C₄	—	13	1	no	—
1347	C₄⋊C₄	—	13	1	no	—
1348	C₄⋊C₄	—	13	1	no	—
1349	C₄⋊C₄	—	13	1	no	—
1350	C₄⋊C₄	—	13	1	no	—
1351	C₄⋊C₄	—	13	1	no	—
1352	C₄⋊C₄	—	13	1	no	—
1353	C₄⋊C₄	—	13	1	no	—
1354	C₄⋊C₄	—	13	1	no	—
1355	C₄⋊C₄	—	13	1	no	—
1356	C₄⋊C₄	—	13	1	no	—
1357	C₄⋊C₄	—	13	1	no	—
1358	C₄⋊C₄	—	13	1	no	—
1359	C₄⋊C₄	—	13	1	no	—
1360	C₄⋊C₄	—	13	1	no	—
1361	C₄⋊C₄	—	13	1	no	—
1362	C₄⋊C₄	—	13	1	no	—
1363	C₄⋊C₄	—	13	1	no	—
1364	C₄⋊C₄	—	13	1	no	—
1365	C₄⋊C₄	—	13	1	no	—
1366	C₄⋊C₄	—	13	1	no	—
1367	C₄⋊C₄	—	13	1	no	—
1368	C₄⋊C₄	—	13	1	no	—
1369	C₄⋊C₄	—	13	1	no	—
1370	C₄⋊C₄	—	13	1	no	—
1371	C₄⋊C₄	—	13	1	no	—
1372	C₄⋊C₄	—	13	1	no	—
1373	C₄⋊C₄	—	13	1	no	—
1374	C₄⋊C₄	—	13	1	no	—
1375	C₄⋊C₄	—	13	1	no	—
1376	C₄⋊C₄	—	13	1	no	—
1377	C₄⋊C₄	—	13	1	no	—
1378	C₄⋊C₄	—	13	1	no	—
1379	C₄⋊C₄	—	13	1	no	—
1380	C₄⋊C₄	—	13	1	no	—
1381	C₄⋊C₄	—	13	1	no	—
1382	C₄⋊C₄	—	13	1	no	—
1383	C₄⋊C₄	—	13	1	no	—
1384	C₄⋊C₄	—	13	1	no	—
1385	C₄⋊C₄	—	13	1	no	—
1386	C₄⋊C₄	—	13	1	no	—
1387	C₄⋊C₄	—	13	1	no	—
1388	C₄⋊C₄	—	13	1	no	—
1389	C₄⋊C₄	—	13	1	no	—
1390	C₄⋊C₄	—	13	1	no	—
1391	C₄⋊C₄	—	13	1	no	—
1392	C₄⋊C₄	—	13	1	no	—
1393	C₄⋊C₄	—	13	1	no	—
1394	C₄⋊C₄	—	13	1	no	—
1395	C₄⋊C₄	—	13	1	no	—
1396	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1397	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1398	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1399	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1400	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1401	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1402	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1403	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1404	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1405	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1406	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1407	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1408	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1409	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1410	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1411	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1412	C₂²⋊C₄	—	13	1	no	—
1413	C₂²⋊C₄	—	13	1	no	—
1414	C₂²⋊C₄	—	13	1	no	—
1415	C₂²⋊C₄	—	13	1	no	—
1416	C₂²⋊C₄	—	13	1	no	—
1417	C₂²⋊C₄	—	13	1	no	—
1418	C₂²⋊C₄	—	13	1	no	—
1419	C₂²⋊C₄	—	13	1	no	—
1420	C₂²⋊C₄	—	13	1	no	—
1421	C₂²⋊C₄	—	13	1	no	—
1422	C₂²⋊C₄	—	13	1	no	—
1423	C₂²⋊C₄	—	13	1	no	—
1424	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1425	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1426	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1427	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1430	C₄²	—	13	1	no	—
1431	C₄²	—	13	1	no	—
1432	C₄²	—	13	1	no	—
1433	C₄²	—	13	1	no	—
1434	C₄²	—	13	1	no	—
1435	C₄²	—	13	1	no	—
1436	C₄²	—	13	1	no	—
1437	C₄²	—	13	1	no	—
1438	C₄²	—	13	1	no	—
1439	C₄²	—	13	1	no	—
1440	C₄²	—	13	1	no	—
1441	C₄²	—	13	1	no	—
1442	C₄²	—	13	1	no	—
1443	C₄²	—	13	1	no	—
1444	C₄²	—	13	1	no	—
1445	C₄²	—	13	1	no	—
1446	C₄²	—	13	1	no	—
1447	C₄²	—	13	1	no	—
1448	C₄²	—	13	1	no	—
1449	C₄²	—	13	1	no	—
1450	C₄²	—	13	1	no	—
1451	C₄²	—	13	1	no	—
1452	C₄²	—	13	1	no	—
1453	C₄²	—	13	1	no	—
1454	C₄²	—	13	1	no	—
1455	C₄²	—	13	1	no	—
1456	C₄²	—	13	1	no	—
1457	C₄²	C₂²×#261	1	1	yes	characteristic
1458	C₄²	C₂²×#261	1	1	yes	characteristic
1459	C₄²	C₂²×#261	1	1	yes	characteristic
1460	C₁₃	#60254	1	1	yes	characteristic, complemented, Sylow
1461	C₂³	—	13	1	no	—
1462	C₂³	C₂³×#261	1	1	yes	characteristic
1463	C₂³	C₂³×#261	1	1	yes	characteristic
1464	Q₈	—	4	1	no	—
1465	Q₈	—	4	1	no	—
1466	Q₈	—	4	1	no	—
1467	Q₈	—	26	2	no	—
1468	Q₈	—	26	2	no	—
1469	Q₈	—	26	2	no	—
1470	Q₈	—	26	2	no	—
1471	Q₈	—	26	2	no	—
1472	Q₈	—	52	1	no	—
1473	Q₈	—	52	1	no	—
1474	Q₈	—	52	1	no	—
1475	Q₈	—	52	1	no	—
1476	Q₈	—	52	1	no	—
1477	Q₈	—	52	1	no	—
1478	Q₈	—	52	1	no	—
1479	Q₈	—	52	1	no	—
1480	Q₈	—	52	1	no	—
1481	D₄	—	2	2	no	—
1482	D₄	—	26	2	no	—
1483	D₄	—	26	2	no	—
1484	C₂×C₄	—	4	1	no	—
1485	C₂×C₄	—	4	1	no	—
1486	C₂×C₄	—	4	1	no	—
1487	C₂×C₄	—	4	1	no	—
1488	C₂×C₄	—	4	1	no	—
1489	C₂×C₄	—	4	1	no	—
1490	C₂×C₄	—	13	2	no	—
1491	C₂×C₄	—	13	2	no	—
1492	C₂×C₄	—	13	1	no	—
1493	C₂×C₄	—	13	1	no	—
1494	C₂×C₄	—	13	1	no	—
1495	C₂×C₄	—	13	1	no	—
1496	C₂×C₄	—	13	1	no	—
1497	C₂×C₄	—	13	1	no	—
1498	C₂×C₄	—	13	1	no	—
1499	C₂×C₄	—	13	1	no	—
1500	C₂×C₄	—	13	1	no	—
1501	C₂×C₄	—	13	1	no	—
1502	C₂×C₄	—	13	1	no	—
1503	C₂×C₄	—	13	1	no	—
1504	C₂×C₄	—	13	1	no	—
1505	C₂×C₄	—	13	1	no	—
1506	C₂×C₄	—	13	1	no	—
1507	C₂×C₄	—	26	2	no	—
1508	C₂×C₄	—	26	1	no	—
1509	C₂×C₄	—	26	1	no	—
1510	C₂×C₄	—	26	2	no	—
1511	C₂×C₄	—	26	2	no	—
1512	C₂×C₄	—	26	1	no	—
1513	C₂×C₄	—	26	1	no	—
1514	C₂×C₄	—	52	1	no	—
1515	C₂×C₄	—	52	1	no	—
1516	C₂×C₄	—	52	1	no	—
1517	C₂×C₄	—	52	1	no	—
1518	C₂×C₄	—	52	1	no	—
1519	C₂×C₄	—	52	1	no	—
1520	C₂×C₄	—	52	1	no	—
1521	C₂×C₄	—	52	1	no	—
1522	C₂×C₄	—	52	1	no	—
1523	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1524	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1525	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1526	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1527	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1528	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1529	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1530	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1531	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1532	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1533	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1534	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1535	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1536	C₈	—	26	1	no	—
1537	C₈	—	26	1	no	—
1538	C₈	—	26	1	no	—
1539	C₈	—	26	1	no	—
1540	C₈	—	26	1	no	—
1541	C₈	—	26	1	no	—
1542	C₈	—	26	1	no	—
1543	C₈	—	26	1	no	—
1544	C₈	—	26	1	no	—
1545	C₈	—	26	1	no	—
1546	C₈	—	26	1	no	—
1547	C₈	—	26	1	no	—
1548	C₈	—	26	1	no	—
1549	C₈	—	26	1	no	—
1550	C₈	—	26	1	no	—
1551	C₈	—	26	1	no	—
1552	C₂²	—	2	1	no	—
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	26	1	no	—
1558	C₂²	—	26	1	no	—
1559	C₂²	—	26	1	no	—
1560	C₂²	#11719627	1	2	yes	—
1561	C₂²	C₂⁴×#261	1	1	yes	characteristic
1562	C₄	—	2	1	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	13	2	no	—
1576	C₄	—	13	1	no	—
1577	C₄	—	13	1	no	—
1578	C₄	—	13	2	no	—
1579	C₄	—	26	1	no	—
1580	C₄	—	26	1	no	—
1581	C₄	—	26	1	no	—
1582	C₄	—	26	1	no	—
1583	C₄	—	26	1	no	—
1584	C₄	—	26	1	no	—
1585	C₄	—	26	1	no	—
1586	C₄	—	26	1	no	—
1587	C₄	—	26	1	no	—
1588	C₄	—	26	1	no	—
1589	C₄	—	26	1	no	—
1590	C₄	—	26	1	no	—
1591	C₂	—	2	2	no	—
1592	C₂	—	4	1	no	—
1593	C₂	—	52	1	no	—
1594	C₂	C₂×#11719627	1	1	yes	characteristic
1595	C₂	D₁₃⋊#568	1	1	yes	characteristic
1596	C₂	#13131831	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#554	C₄
prime radical	C₂×#6129	C₂³
cosocle	C₂×Dic₁₃	C₂⁵
hypercenter	#554	#261
hypocenter	C₁₃	#60254
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #554

Complements

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

N	H ≅ G/N	type
1. #13131750	C₂	semidirect
2. #13131749	C₂	semidirect
3. #13131748	C₂	semidirect
4. #13131748	C₂	semidirect
5. #13131746	C₂	semidirect
6. #13131745	C₂	semidirect
7. #13131743	C₂	semidirect
8. #13131743	C₂	semidirect
9. #13131742	C₂	semidirect
10. #13131742	C₂	semidirect
11. #13131741	C₂	semidirect
12. #13131740	C₂	semidirect
13. #13131737	C₂	semidirect
14. #13131736	C₂	semidirect
15. #13131735	C₂	semidirect
16. #13131733	C₂	semidirect
17. #13131637	C₂	semidirect
18. #13131633	C₂	semidirect
19. #13131633	C₂	semidirect
20. #13131631	C₂	semidirect
21. #13131627	C₂	semidirect
22. #13131627	C₂	semidirect
23. #13131624	C₂	semidirect
24. C₂×#11719078	C₂	semidirect
1460. C₁₃	#60254	semidirect

Maximal subgroups

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

subgroup	index
#13131750	2
#13131749	2
#13131748	2
#13131746	2
#13131745	2
#13131743	2
#13131742	2
#13131741	2
#13131740	2
#13131737	2
#13131736	2
#13131735	2
#13131733	2
#13131637	2
#13131633	2
#13131631	2
#13131627	2
#13131624	2
C₂×#11719078	2
#13131534	2
#13131531	2
#13131522	2
#13131519	2
#13128415	2
#60254	13