Subgroups — #14220083

Order 1792.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743354	C₂	1	1	yes	maximal, characteristic
2	C₇×#2962	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740776	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737413	C₂	1	1	yes	maximal, characteristic, complemented
5	#11737412	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737411	C₂	1	1	yes	maximal, characteristic, complemented
7	#11737404	C₂	1	1	yes	maximal, characteristic, complemented
8	#11737404	C₂	1	1	yes	maximal, characteristic, complemented
9	#11737403	C₂	1	1	yes	maximal, characteristic, complemented
10	#11737394	C₂	1	1	yes	maximal, characteristic, complemented
11	#11737392	C₂	1	1	yes	maximal, characteristic, complemented
12	#11737391	C₂	1	1	yes	maximal, characteristic, complemented
13	#11737387	C₂	1	1	yes	maximal, characteristic, complemented
14	#11737386	C₂	1	1	yes	maximal, characteristic, complemented
15	#11737386	C₂	1	1	yes	maximal, characteristic, complemented
16	#11737368	C₂	1	1	yes	maximal, characteristic, complemented
17	#11737363	C₂	1	1	yes	maximal, characteristic, complemented
18	#11737353	C₂	1	1	yes	maximal, characteristic, complemented
19	#11737348	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736530	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736529	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736528	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736528	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736462	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736461	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736003	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736003	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736002	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736001	C₂	1	1	yes	maximal, characteristic, complemented
30	#11735956	C₂	1	1	yes	maximal, characteristic, complemented
31	#11735955	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#533	C₂²	1	1	yes	characteristic
33	#90426	C₄	1	1	yes	characteristic
34	#90426	C₄	1	1	yes	characteristic
35	#90426	C₄	1	1	yes	characteristic
36	#90426	C₄	1	1	yes	characteristic
37	#90391	C₄	1	1	yes	characteristic
38	#90390	C₄	1	1	yes	characteristic
39	#90390	C₄	1	1	yes	characteristic
40	C₇⋊#564	C₄	1	1	yes	characteristic
41	#90338	C₄	1	1	yes	characteristic
42	#90338	C₄	1	1	yes	characteristic
43	#90338	C₄	1	1	yes	characteristic
44	#90338	C₄	1	1	yes	characteristic
45	#90337	C₄	1	1	yes	characteristic
46	#90337	C₄	1	1	yes	characteristic
47	#90337	C₄	1	1	yes	characteristic
48	#90337	C₄	1	1	yes	characteristic
49	#90271	C₂²	1	1	yes	characteristic
50	#90271	C₂²	1	1	yes	characteristic
51	#90271	C₂²	1	1	yes	characteristic
52	#90271	C₂²	1	1	yes	characteristic
53	#90269	C₂²	1	1	yes	characteristic
54	#90269	C₂²	1	1	yes	characteristic
55	#90269	C₂²	1	1	yes	characteristic
56	#90269	C₂²	1	1	yes	characteristic
57	#90219	C₂²	1	1	yes	characteristic
58	#90219	C₂²	1	1	yes	characteristic
59	#90219	C₂²	1	1	yes	characteristic
60	#90219	C₂²	1	1	yes	characteristic
61	#90170	C₂²	1	1	yes	characteristic
62	#90170	C₂²	1	1	yes	characteristic
63	C₇×#446	C₂²	1	1	yes	characteristic
64	C₇×#446	C₂²	1	1	yes	characteristic
65	C₇×#446	C₂²	1	1	yes	characteristic
66	C₇×#446	C₂²	1	1	yes	characteristic
67	C₇×#446	C₂²	1	1	yes	characteristic
68	C₇×#446	C₂²	1	1	yes	characteristic
69	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
70	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
71	C₇×#424	C₂²	1	1	yes	characteristic
72	C₇×#424	C₂²	1	1	yes	characteristic
73	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
74	C₇×#405	C₂²	1	1	yes	characteristic
75	C₇×#405	C₂²	1	1	yes	characteristic
76	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
77	#89900	C₂²	1	1	yes	characteristic
78	#89900	C₂²	1	1	yes	characteristic
79	#89900	C₂²	1	1	yes	characteristic
80	#89900	C₂²	1	1	yes	characteristic
81	#89899	C₂²	1	1	yes	characteristic
82	#89899	C₂²	1	1	yes	characteristic
83	#89899	C₂²	1	1	yes	characteristic
84	#89899	C₂²	1	1	yes	characteristic
85	#89883	C₂²	1	1	yes	characteristic
86	#89883	C₂²	1	1	yes	characteristic
87	#89883	C₂²	1	1	yes	characteristic
88	#89883	C₂²	1	1	yes	characteristic
89	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
90	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
91	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
92	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
93	#89796	C₂²	1	1	yes	characteristic
94	#89796	C₂²	1	1	yes	characteristic
95	#89796	C₂²	1	1	yes	characteristic
96	#89796	C₂²	1	1	yes	characteristic
97	#89796	C₂²	1	1	yes	characteristic
98	#89796	C₂²	1	1	yes	characteristic
99	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic
100	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic
101	#89772	C₂²	1	1	yes	characteristic
102	#89772	C₂²	1	1	yes	characteristic
103	#89772	C₂²	1	1	yes	characteristic
104	#89772	C₂²	1	1	yes	characteristic
105	#89698	C₂²	1	1	yes	characteristic
106	#89697	C₂²	1	1	yes	characteristic
107	#89612	C₂²	1	1	yes	characteristic
108	#89612	C₂²	1	1	yes	characteristic
109	#89612	C₂²	1	1	yes	characteristic
110	#89612	C₂²	1	1	yes	characteristic
111	#89612	C₂²	1	1	yes	characteristic
112	#89612	C₂²	1	1	yes	characteristic
113	#89612	C₂²	1	1	yes	characteristic
114	#89612	C₂²	1	1	yes	characteristic
115	#89611	C₂²	1	1	yes	characteristic
116	#89611	C₂²	1	1	yes	characteristic
117	#89611	C₂²	1	1	yes	characteristic
118	#89611	C₂²	1	1	yes	characteristic
119	#89611	C₂²	1	1	yes	characteristic
120	#89611	C₂²	1	1	yes	characteristic
121	#89611	C₂²	1	1	yes	characteristic
122	#89611	C₂²	1	1	yes	characteristic
123	#89610	C₂²	1	1	yes	characteristic
124	#89610	C₂²	1	1	yes	characteristic
125	#89610	C₂²	1	1	yes	characteristic
126	#89610	C₂²	1	1	yes	characteristic
127	#89609	C₂²	1	1	yes	characteristic
128	#89609	C₂²	1	1	yes	characteristic
129	#89609	C₂²	1	1	yes	characteristic
130	#89608	C₂²	1	1	yes	characteristic
131	#89608	C₂²	1	1	yes	characteristic
132	#89608	C₂²	1	1	yes	characteristic
133	#89608	C₂²	1	1	yes	characteristic
134	#89608	C₂²	1	1	yes	characteristic
135	#89608	C₂²	1	1	yes	characteristic
136	#89607	C₂²	1	1	yes	characteristic
137	#89606	C₂²	1	1	yes	characteristic
138	#89606	C₂²	1	1	yes	characteristic
139	#89605	C₂²	1	1	yes	characteristic
140	#89605	C₂²	1	1	yes	characteristic
141	#89605	C₂²	1	1	yes	characteristic
142	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
143	#89603	C₂²	1	1	yes	characteristic
144	#89603	C₂²	1	1	yes	characteristic
145	#89602	C₂²	1	1	yes	characteristic
146	#89602	C₂²	1	1	yes	characteristic
147	#89602	C₂²	1	1	yes	characteristic
148	#89602	C₂²	1	1	yes	characteristic
149	#89600	C₂²	1	1	yes	characteristic
150	#89600	C₂²	1	1	yes	characteristic
151	#89600	C₂²	1	1	yes	characteristic
152	#89600	C₂²	1	1	yes	characteristic
153	#89600	C₂²	1	1	yes	characteristic
154	#89600	C₂²	1	1	yes	characteristic
155	#89481	C₂²	1	1	yes	characteristic
156	#89481	C₂²	1	1	yes	characteristic
157	#89481	C₂²	1	1	yes	characteristic
158	#89481	C₂²	1	1	yes	characteristic
159	#89480	C₂²	1	1	yes	characteristic
160	#89480	C₂²	1	1	yes	characteristic
161	#89480	C₂²	1	1	yes	characteristic
162	#89480	C₂²	1	1	yes	characteristic
163	#89478	C₂²	1	1	yes	characteristic
164	#89478	C₂²	1	1	yes	characteristic
165	#89478	C₂²	1	1	yes	characteristic
166	#89478	C₂²	1	1	yes	characteristic
167	#89478	C₂²	1	1	yes	characteristic
168	#89478	C₂²	1	1	yes	characteristic
169	#89477	C₂²	1	1	yes	characteristic
170	#89477	C₂²	1	1	yes	characteristic
171	D₇×#97	C₂²	1	1	yes	characteristic
172	D₇×#97	C₂²	1	1	yes	characteristic
173	#89473	C₂²	1	1	yes	characteristic
174	#89473	C₂²	1	1	yes	characteristic
175	#89473	C₂²	1	1	yes	characteristic
176	#89473	C₂²	1	1	yes	characteristic
177	#89473	C₂²	1	1	yes	characteristic
178	#89473	C₂²	1	1	yes	characteristic
179	#89462	C₂²	1	1	yes	characteristic
180	#89462	C₂²	1	1	yes	characteristic
181	#89462	C₂²	1	1	yes	characteristic
182	#89462	C₂²	1	1	yes	characteristic
183	#89461	C₂²	1	1	yes	characteristic
184	#89461	C₂²	1	1	yes	characteristic
185	#89461	C₂²	1	1	yes	characteristic
186	#89461	C₂²	1	1	yes	characteristic
187	#89460	C₂²	1	1	yes	characteristic
188	#89460	C₂²	1	1	yes	characteristic
189	C₄×#1131	C₂²	1	1	yes	characteristic
190	C₈×D₂₈	C₂²	1	1	yes	characteristic
191	C₈×D₂₈	C₂²	1	1	yes	characteristic
192	C₈×D₂₈	C₂²	1	1	yes	characteristic
193	C₈×D₂₈	C₂²	1	1	yes	characteristic
194	#89457	C₂²	1	1	yes	characteristic
195	#89457	C₂²	1	1	yes	characteristic
196	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
197	#89451	C₂²	1	1	yes	characteristic
198	#89451	C₂²	1	1	yes	characteristic
199	#89451	C₂²	1	1	yes	characteristic
200	#89451	C₂²	1	1	yes	characteristic
201	C₈×Dic₁₄	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic
203	#60346	—	7	1	no	maximal, Sylow
204	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
205	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
207	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
208	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
209	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
210	C₇×#125	C₂×C₄	1	1	yes	characteristic
211	C₇×#125	C₂×C₄	1	1	yes	characteristic
212	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
213	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
214	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
215	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
217	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
218	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
219	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
220	C₇×#117	C₂³	1	1	yes	characteristic
221	C₇×#117	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
223	#6510	C₂×C₄	1	1	yes	characteristic
224	#6510	C₂×C₄	1	1	yes	characteristic
225	#6510	C₂×C₄	1	1	yes	characteristic
226	#6510	C₂×C₄	1	1	yes	characteristic
227	#6509	C₂×C₄	1	1	yes	characteristic
228	#6509	C₂×C₄	1	1	yes	characteristic
229	#6509	C₂×C₄	1	1	yes	characteristic
230	#6509	C₂×C₄	1	1	yes	characteristic
231	#6509	C₂×C₄	1	1	yes	characteristic
232	#6509	C₂×C₄	1	1	yes	characteristic
233	#6509	C₂×C₄	1	1	yes	characteristic
234	#6509	C₂×C₄	1	1	yes	characteristic
235	#6507	C₂×C₄	1	1	yes	characteristic
236	#6507	C₂×C₄	1	1	yes	characteristic
237	#6507	C₂×C₄	1	1	yes	characteristic
238	#6507	C₂×C₄	1	1	yes	characteristic
239	#6493	C₂×C₄	1	1	yes	characteristic
240	#6493	C₂×C₄	1	1	yes	characteristic
241	#6492	C₂×C₄	1	1	yes	characteristic
242	#6492	C₂×C₄	1	1	yes	characteristic
243	#6492	C₂×C₄	1	1	yes	characteristic
244	#6492	C₂×C₄	1	1	yes	characteristic
245	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
246	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
247	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
248	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
249	#6487	C₂×C₄	1	1	yes	characteristic
250	#6487	C₂×C₄	1	1	yes	characteristic
251	C₂×#1131	C₂³	1	1	yes	characteristic
252	C₂×#1131	C₂³	1	1	yes	characteristic
253	C₂×#1131	C₂³	1	1	yes	characteristic
254	C₂×#1131	C₂³	1	1	yes	characteristic
255	C₂×#1131	C₂³	1	1	yes	characteristic
256	C₂×#1131	C₂³	1	1	yes	characteristic
257	C₂×#1131	C₂³	1	1	yes	characteristic
258	C₂×#1131	C₂³	1	1	yes	characteristic
259	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
260	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
261	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
262	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
263	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
264	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
265	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
266	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
267	#6461	C₂×C₄	1	1	yes	characteristic
268	#6461	C₂×C₄	1	1	yes	characteristic
269	#6461	C₂×C₄	1	1	yes	characteristic
270	#6461	C₂×C₄	1	1	yes	characteristic
271	#6461	C₂×C₄	1	1	yes	characteristic
272	#6461	C₂×C₄	1	1	yes	characteristic
273	#6461	C₂×C₄	1	1	yes	characteristic
274	#6461	C₂×C₄	1	1	yes	characteristic
275	#6461	C₂×C₄	1	1	yes	characteristic
276	#6461	C₂×C₄	1	1	yes	characteristic
277	#6461	C₂×C₄	1	1	yes	characteristic
278	#6461	C₂×C₄	1	1	yes	characteristic
279	#6460	C₂×C₄	1	1	yes	characteristic
280	#6460	C₂×C₄	1	1	yes	characteristic
281	#6460	C₂×C₄	1	1	yes	characteristic
282	#6460	C₂×C₄	1	1	yes	characteristic
283	#6459	C₂×C₄	1	1	yes	characteristic
284	#6459	C₂×C₄	1	1	yes	characteristic
285	#6459	C₂×C₄	1	1	yes	characteristic
286	#6459	C₂×C₄	1	1	yes	characteristic
287	#6459	C₂×C₄	1	1	yes	characteristic
288	#6459	C₂×C₄	1	1	yes	characteristic
289	#6459	C₂×C₄	1	1	yes	characteristic
290	#6459	C₂×C₄	1	1	yes	characteristic
291	#6459	C₂×C₄	1	1	yes	characteristic
292	#6459	C₂×C₄	1	1	yes	characteristic
293	#6459	C₂×C₄	1	1	yes	characteristic
294	#6459	C₂×C₄	1	1	yes	characteristic
295	#6458	C₂×C₄	1	1	yes	characteristic
296	#6458	C₂×C₄	1	1	yes	characteristic
297	#6458	C₂×C₄	1	1	yes	characteristic
298	#6458	C₂×C₄	1	1	yes	characteristic
299	#6457	C₂×C₄	1	1	yes	characteristic
300	#6457	C₂×C₄	1	1	yes	characteristic
301	#6457	C₂×C₄	1	1	yes	characteristic
302	#6457	C₂×C₄	1	1	yes	characteristic
303	#6457	C₂×C₄	1	1	yes	characteristic
304	#6457	C₂×C₄	1	1	yes	characteristic
305	#6457	C₂×C₄	1	1	yes	characteristic
306	#6457	C₂×C₄	1	1	yes	characteristic
307	#6457	C₂×C₄	1	1	yes	characteristic
308	#6457	C₂×C₄	1	1	yes	characteristic
309	#6457	C₂×C₄	1	1	yes	characteristic
310	#6457	C₂×C₄	1	1	yes	characteristic
311	#6453	C₂×C₄	1	1	yes	characteristic
312	#6453	C₂×C₄	1	1	yes	characteristic
313	#6453	C₂×C₄	1	1	yes	characteristic
314	#6453	C₂×C₄	1	1	yes	characteristic
315	#6452	C₂×C₄	1	1	yes	characteristic
316	#6452	C₂×C₄	1	1	yes	characteristic
317	#6452	C₂×C₄	1	1	yes	characteristic
318	#6452	C₂×C₄	1	1	yes	characteristic
319	#6452	C₂×C₄	1	1	yes	characteristic
320	#6452	C₂×C₄	1	1	yes	characteristic
321	#6452	C₂×C₄	1	1	yes	characteristic
322	#6452	C₂×C₄	1	1	yes	characteristic
323	#6452	C₂×C₄	1	1	yes	characteristic
324	#6452	C₂×C₄	1	1	yes	characteristic
325	#6452	C₂×C₄	1	1	yes	characteristic
326	#6452	C₂×C₄	1	1	yes	characteristic
327	#6451	C₂×C₄	1	1	yes	characteristic
328	#6451	C₂×C₄	1	1	yes	characteristic
329	#6451	C₂×C₄	1	1	yes	characteristic
330	#6451	C₂×C₄	1	1	yes	characteristic
331	#6448	C₂×C₄	1	1	yes	characteristic
332	#6448	C₂×C₄	1	1	yes	characteristic
333	#6448	C₂×C₄	1	1	yes	characteristic
334	#6448	C₂×C₄	1	1	yes	characteristic
335	#6447	C₂×C₄	1	1	yes	characteristic
336	#6447	C₂×C₄	1	1	yes	characteristic
337	#6447	C₂×C₄	1	1	yes	characteristic
338	#6447	C₂×C₄	1	1	yes	characteristic
339	#6446	C₂×C₄	1	1	yes	characteristic
340	#6446	C₂×C₄	1	1	yes	characteristic
341	#6446	C₂×C₄	1	1	yes	characteristic
342	#6446	C₂×C₄	1	1	yes	characteristic
343	#6442	C₂×C₄	1	1	yes	characteristic
344	#6442	C₂×C₄	1	1	yes	characteristic
345	#6442	C₂×C₄	1	1	yes	characteristic
346	#6442	C₂×C₄	1	1	yes	characteristic
347	#6439	C₂×C₄	1	1	yes	characteristic
348	#6439	C₂×C₄	1	1	yes	characteristic
349	#6439	C₂×C₄	1	1	yes	characteristic
350	#6439	C₂×C₄	1	1	yes	characteristic
351	#6438	C₂×C₄	1	1	yes	characteristic
352	#6438	C₂×C₄	1	1	yes	characteristic
353	C₄×D₂₈	C₂³	1	1	yes	characteristic
354	C₄×D₂₈	C₂³	1	1	yes	characteristic
355	C₄×D₂₈	C₂³	1	1	yes	characteristic
356	C₄×D₂₈	C₂³	1	1	yes	characteristic
357	C₄×D₂₈	C₂³	1	1	yes	characteristic
358	C₄×D₂₈	C₂³	1	1	yes	characteristic
359	#6435	C₂³	1	1	yes	characteristic
360	#6435	C₂³	1	1	yes	characteristic
361	#6435	C₂³	1	1	yes	characteristic
362	#6435	C₂³	1	1	yes	characteristic
363	#6435	C₂³	1	1	yes	characteristic
364	#6435	C₂³	1	1	yes	characteristic
365	#6435	C₂³	1	1	yes	characteristic
366	#6435	C₂³	1	1	yes	characteristic
367	C₄²×D₇	C₂³	1	1	yes	characteristic
368	C₄²×D₇	C₂³	1	1	yes	characteristic
369	C₄²×D₇	C₂³	1	1	yes	characteristic
370	C₄²×D₇	C₂³	1	1	yes	characteristic
371	#6433	C₂×C₄	1	1	yes	characteristic
372	#6433	C₂×C₄	1	1	yes	characteristic
373	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
374	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
375	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
376	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
377	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
378	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
379	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
380	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
381	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
382	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
383	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
385	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
386	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
387	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
389	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
390	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
391	C₇×#97	C₂³	1	1	yes	characteristic
392	C₇×#97	C₂³	1	1	yes	characteristic
393	C₇×#97	C₂³	1	1	yes	characteristic
394	C₇×#97	C₂³	1	1	yes	characteristic
395	C₇×#97	C₂³	1	1	yes	characteristic
396	C₇×#97	C₂³	1	1	yes	characteristic
397	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
398	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
399	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
400	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
401	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
402	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
403	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
404	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
405	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
406	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
407	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
408	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
409	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
410	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
411	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
412	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
413	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
414	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
415	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
416	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
417	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
418	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
419	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
420	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
421	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
422	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
423	#6389	C₂³	1	1	yes	characteristic
424	#6389	C₂³	1	1	yes	characteristic
425	#6389	C₂³	1	1	yes	characteristic
426	#6389	C₂³	1	1	yes	characteristic
427	#6389	C₂³	1	1	yes	characteristic
428	#6389	C₂³	1	1	yes	characteristic
429	#6389	C₂³	1	1	yes	characteristic
430	#6389	C₂³	1	1	yes	characteristic
431	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
432	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
433	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
434	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
435	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
436	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
437	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
438	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
439	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
440	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
441	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
442	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
443	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
444	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	C₈×Dic₇	C₂³	1	1	yes	characteristic
448	C₈×Dic₇	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	C₈×Dic₇	C₂³	1	1	yes	characteristic
452	C₈×Dic₇	C₂³	1	1	yes	characteristic
453	C₈×Dic₇	C₂³	1	1	yes	characteristic
454	C₈×Dic₇	C₂³	1	1	yes	characteristic
455	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
456	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
457	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
458	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
459	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
460	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
461	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
462	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
463	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
464	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
465	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
466	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
467	#6377	C₂³	1	1	yes	characteristic
468	#6377	C₂³	1	1	yes	characteristic
469	#6377	C₂³	1	1	yes	characteristic
470	#6377	C₂³	1	1	yes	characteristic
471	#6377	C₂³	1	1	yes	characteristic
472	#6377	C₂³	1	1	yes	characteristic
473	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
474	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
475	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
476	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3531	—	7	1	no	—
480	#2995	—	7	1	no	—
481	#2995	—	7	1	no	—
482	#2994	—	7	1	no	—
483	#2994	—	7	1	no	—
484	#2993	—	7	1	no	—
485	#2993	—	7	1	no	—
486	#2993	—	7	1	no	—
487	#2993	—	7	1	no	—
488	#2992	—	7	1	no	—
489	#2992	—	7	1	no	—
490	#2987	—	7	1	no	—
491	#2986	—	7	1	no	—
492	#2986	—	7	1	no	—
493	#2985	—	7	1	no	—
494	#2985	—	7	1	no	—
495	#2969	—	7	1	no	—
496	#2969	—	7	1	no	—
497	#2968	—	7	1	no	—
498	#2968	—	7	1	no	—
499	#2968	—	7	1	no	—
500	#2968	—	7	1	no	—
501	#2967	—	7	1	no	—
502	#2967	—	7	1	no	—
503	#2966	—	7	1	no	—
504	#2966	—	7	1	no	—
505	#2962	—	7	1	no	—
506	#2962	D₇	1	1	yes	characteristic, complemented
507	#2961	—	7	1	no	—
508	#2961	—	7	1	no	—
509	#2960	—	7	1	no	—
510	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
521	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
522	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
523	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
524	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
525	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
526	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
539	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
540	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
541	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
542	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
543	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
544	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
545	C₇×M₁₆	—	2	2	no	—
546	C₇×M₁₆	—	4	1	no	—
547	C₂×C₇×C₈	—	4	1	no	—
548	C₂×C₇×C₈	—	4	1	no	—
549	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
550	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
554	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
557	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
578	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
579	C₄²×C₇	C₂⁴	1	1	yes	characteristic
580	C₄²×C₇	C₂⁴	1	1	yes	characteristic
581	C₄²×C₇	C₂⁴	1	1	yes	characteristic
582	C₄²×C₇	C₂⁴	1	1	yes	characteristic
583	C₄²×C₇	C₂⁴	1	1	yes	characteristic
584	C₄²×C₇	C₂⁴	1	1	yes	characteristic
585	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
586	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
587	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
588	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
589	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
627	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
628	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
629	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
630	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
631	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
632	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
633	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
666	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
667	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
668	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
669	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
670	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
671	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
672	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
673	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
674	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
675	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
676	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
677	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
678	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
679	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
680	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
681	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
682	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
683	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
684	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
685	#1131	—	2	2	no	—
686	#1131	—	4	1	no	—
687	#1131	—	4	1	no	—
688	#1131	—	4	1	no	—
689	#1131	—	4	1	no	—
690	#1131	—	4	1	no	—
691	#1131	—	4	1	no	—
692	#1131	—	4	1	no	—
693	C₈×D₇	—	2	2	no	—
694	C₈×D₇	—	2	2	no	—
695	C₈×D₇	—	2	2	no	—
696	C₈×D₇	—	4	1	no	—
697	C₈×D₇	—	4	1	no	—
698	C₈×D₇	—	4	1	no	—
699	C₈×D₇	—	4	1	no	—
700	C₈×D₇	—	4	1	no	—
701	#564	—	7	1	no	—
702	#563	—	7	1	no	—
703	#563	—	7	1	no	—
704	#563	—	7	1	no	—
705	#563	—	7	1	no	—
706	#563	—	7	1	no	—
707	#563	—	7	1	no	—
708	#563	—	7	1	no	—
709	#563	—	7	1	no	—
710	#563	—	7	1	no	—
711	#563	—	7	1	no	—
712	#562	—	7	1	no	—
713	#562	—	7	1	no	—
714	#562	—	7	1	no	—
715	#562	—	7	1	no	—
716	#562	—	7	1	no	—
717	#533	—	7	1	no	—
718	#533	—	7	1	no	—
719	#533	—	7	1	no	—
720	#533	—	7	1	no	—
721	#533	C₂×D₇	1	1	yes	characteristic
722	#529	—	7	1	no	—
723	#529	—	7	1	no	—
724	#529	—	7	1	no	—
725	#529	—	7	1	no	—
726	#529	—	7	1	no	—
727	#529	—	7	1	no	—
728	#529	—	7	1	no	—
729	#529	—	7	1	no	—
730	#529	—	7	1	no	—
731	#529	—	7	1	no	—
732	#446	—	7	1	no	—
733	#446	—	7	1	no	—
734	#446	—	7	1	no	—
735	#446	—	7	1	no	—
736	#446	—	7	1	no	—
737	#446	—	7	1	no	—
738	#446	—	7	1	no	—
739	#446	—	7	1	no	—
740	#446	—	7	1	no	—
741	#446	—	7	1	no	—
742	#446	—	7	1	no	—
743	#446	—	7	1	no	—
744	#446	—	7	1	no	—
745	#446	—	7	1	no	—
746	#446	—	7	1	no	—
747	#446	—	7	1	no	—
748	#446	—	7	1	no	—
749	#446	—	7	1	no	—
750	#446	—	7	1	no	—
751	#446	—	7	1	no	—
752	#446	—	7	1	no	—
753	#446	—	7	1	no	—
754	#446	—	7	1	no	—
755	#446	—	7	1	no	—
756	#446	C₂×D₇	1	1	yes	characteristic
757	#446	C₂×D₇	1	1	yes	characteristic
758	#446	C₂×D₇	1	1	yes	characteristic
759	#446	C₂×D₇	1	1	yes	characteristic
760	#446	C₂×D₇	1	1	yes	characteristic
761	#446	C₂×D₇	1	1	yes	characteristic
762	C₈×Q₈	—	7	1	no	—
763	C₈×Q₈	—	7	1	no	—
764	C₈×Q₈	—	7	1	no	—
765	C₈×Q₈	—	7	1	no	—
766	C₈×Q₈	—	7	1	no	—
767	C₈×Q₈	—	7	1	no	—
768	C₈×Q₈	—	7	1	no	—
769	C₈×Q₈	—	7	1	no	—
770	C₈×Q₈	C₂×D₇	1	1	yes	characteristic
771	C₈×Q₈	C₂×D₇	1	1	yes	characteristic
772	#436	—	7	1	no	—
773	#436	—	7	1	no	—
774	#436	—	7	1	no	—
775	#436	—	7	1	no	—
776	#436	—	7	1	no	—
777	#436	—	7	1	no	—
778	#436	—	7	1	no	—
779	#436	—	7	1	no	—
780	#436	—	7	1	no	—
781	#436	—	7	1	no	—
782	#435	—	7	1	no	—
783	#435	—	7	1	no	—
784	#435	—	7	1	no	—
785	#435	—	7	1	no	—
786	#435	—	7	1	no	—
787	#435	—	7	1	no	—
788	#435	—	7	1	no	—
789	#435	—	7	1	no	—
790	#435	—	7	1	no	—
791	#435	—	7	1	no	—
792	#435	—	7	1	no	—
793	#435	—	7	1	no	—
794	#435	—	7	1	no	—
795	#435	—	7	1	no	—
796	#435	—	7	1	no	—
797	#435	—	7	1	no	—
798	#435	—	7	1	no	—
799	#435	—	7	1	no	—
800	#435	—	7	1	no	—
801	#435	—	7	1	no	—
802	C₈×D₄	—	7	1	no	—
803	C₈×D₄	—	7	1	no	—
804	C₈×D₄	—	7	1	no	—
805	C₈×D₄	—	7	1	no	—
806	C₈×D₄	—	7	1	no	—
807	C₈×D₄	—	7	1	no	—
808	C₈×D₄	—	7	1	no	—
809	C₈×D₄	—	7	1	no	—
810	C₈×D₄	—	7	1	no	—
811	C₈×D₄	—	7	1	no	—
812	#433	—	7	1	no	—
813	#433	—	7	1	no	—
814	#433	—	7	1	no	—
815	#433	—	7	1	no	—
816	#433	—	7	1	no	—
817	#433	—	7	1	no	—
818	#433	—	7	1	no	—
819	#433	—	7	1	no	—
820	#433	—	7	1	no	—
821	#433	—	7	1	no	—
822	#433	—	7	1	no	—
823	#433	—	7	1	no	—
824	#433	—	7	1	no	—
825	#433	—	7	1	no	—
826	#433	—	7	1	no	—
827	#433	—	7	1	no	—
828	#433	—	7	1	no	—
829	#433	—	7	1	no	—
830	#433	—	7	1	no	—
831	#433	—	7	1	no	—
832	#432	—	7	1	no	—
833	#432	—	7	1	no	—
834	#432	—	7	1	no	—
835	#432	—	7	1	no	—
836	#431	—	7	1	no	—
837	#431	—	7	1	no	—
838	#431	—	7	1	no	—
839	#431	—	7	1	no	—
840	#431	—	7	1	no	—
841	#431	—	7	1	no	—
842	#424	—	7	1	no	—
843	#424	—	7	1	no	—
844	#424	—	7	1	no	—
845	#424	—	7	1	no	—
846	#424	—	7	1	no	—
847	#424	—	7	1	no	—
848	#424	—	7	1	no	—
849	#424	—	7	1	no	—
850	#424	C₂×D₇	1	1	yes	characteristic
851	#424	C₂×D₇	1	1	yes	characteristic
852	#423	—	7	1	no	—
853	#423	—	7	1	no	—
854	#423	—	7	1	no	—
855	C₂×C₄⋊C₈	—	7	1	no	—
856	C₂×C₄⋊C₈	C₂×D₇	1	1	yes	characteristic
857	#405	—	7	1	no	—
858	#405	—	7	1	no	—
859	#405	—	7	1	no	—
860	#405	—	7	1	no	—
861	#405	—	7	1	no	—
862	#405	—	7	1	no	—
863	#405	—	7	1	no	—
864	#405	—	7	1	no	—
865	#405	C₂×D₇	1	1	yes	characteristic
866	#405	C₂×D₇	1	1	yes	characteristic
867	C₄×M₁₆	—	7	1	no	—
868	C₄×M₁₆	C₂×D₇	1	1	yes	characteristic
869	C₂×#97	—	7	1	no	—
870	C₂×#97	—	7	1	no	—
871	C₂×C₄×C₈	—	7	1	no	—
872	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
873	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
874	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
875	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
876	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
877	C₇×Q₈	—	4	1	no	—
878	C₇×Q₈	—	4	1	no	—
879	C₇×Q₈	—	4	1	no	—
880	C₇×Q₈	—	4	1	no	—
881	C₂×C₄×C₇	—	2	1	no	—
882	C₂×C₄×C₇	—	2	1	no	—
883	C₂×C₄×C₇	—	4	1	no	—
884	C₂×C₄×C₇	—	4	1	no	—
885	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
886	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
887	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
888	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
889	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
890	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
891	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
892	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
893	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
894	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
895	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
896	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
897	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
898	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
899	C₂²⋊D₇	—	4	1	no	—
900	C₂²⋊D₇	—	4	1	no	—
901	C₂²⋊D₇	—	4	1	no	—
902	C₂²⋊D₇	—	4	1	no	—
903	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
904	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
905	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
906	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
907	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
908	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
909	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
910	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
911	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
912	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
913	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
914	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
915	D₂₈	—	4	1	no	—
916	D₂₈	—	4	1	no	—
917	D₂₈	—	4	1	no	—
918	D₂₈	—	4	1	no	—
919	D₂₈	—	4	1	no	—
920	D₂₈	—	4	1	no	—
921	C₄×D₇	—	2	1	no	—
922	C₄×D₇	—	2	1	no	—
923	C₄×D₇	—	2	1	no	—
924	C₄×D₇	—	2	1	no	—
925	C₄×D₇	—	2	1	no	—
926	C₄×D₇	—	2	1	no	—
927	C₄×D₇	—	2	1	no	—
928	C₄×D₇	—	2	1	no	—
929	C₄×D₇	—	4	1	no	—
930	C₄×D₇	—	4	1	no	—
931	C₄×D₇	—	4	1	no	—
932	C₄×D₇	—	4	1	no	—
933	C₄×D₇	—	4	1	no	—
934	C₄×D₇	—	4	1	no	—
935	C₄×D₇	—	4	1	no	—
936	C₄×D₇	—	4	1	no	—
937	Dic₁₄	—	4	1	no	—
938	Dic₁₄	—	4	1	no	—
939	Dic₁₄	—	4	1	no	—
940	Dic₁₄	—	4	1	no	—
941	Dic₁₄	—	4	1	no	—
942	Dic₁₄	—	4	1	no	—
943	C₇×C₈	—	2	1	no	—
944	C₇×C₈	—	2	1	no	—
945	C₇×C₈	—	2	1	no	—
946	C₇×C₈	—	2	1	no	—
947	C₇×C₈	—	2	1	no	—
948	C₇×C₈	—	2	1	no	—
949	C₇×C₈	—	2	1	no	—
950	C₇×C₈	2₋¹⁺⁴	1	2	yes	—
951	C₇⋊C₈	—	2	1	no	—
952	C₇⋊C₈	—	2	1	no	—
953	C₇⋊C₈	—	2	1	no	—
954	C₇⋊C₈	—	2	1	no	—
955	C₇⋊C₈	—	2	1	no	—
956	C₇⋊C₈	—	2	1	no	—
957	C₇⋊C₈	—	2	1	no	—
958	C₇⋊C₈	—	2	1	no	—
959	C₂×M₁₆	—	7	1	no	—
960	C₂×M₁₆	—	7	1	no	—
961	C₂×M₁₆	—	7	1	no	—
962	C₂×M₁₆	—	7	1	no	—
963	C₂×M₁₆	—	7	1	no	—
964	C₂×M₁₆	—	7	1	no	—
965	C₂×M₁₆	—	7	1	no	—
966	C₂×M₁₆	—	7	1	no	—
967	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
968	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
969	C₂²×C₈	—	7	1	no	—
970	C₂²×C₈	—	7	1	no	—
971	C₂²×C₈	—	7	1	no	—
972	C₂²×C₈	—	7	1	no	—
973	C₂²×C₈	—	7	1	no	—
974	C₂²×C₈	—	7	1	no	—
975	C₂²×C₈	—	7	1	no	—
976	C₂²×C₈	—	7	1	no	—
977	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
978	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
979	C₄⋊Q₈	—	7	1	no	—
980	C₄⋊Q₈	—	7	1	no	—
981	C₄⋊Q₈	—	7	1	no	—
982	C₄⋊Q₈	—	7	1	no	—
983	C₄⋊Q₈	—	7	1	no	—
984	C₄⋊Q₈	—	7	1	no	—
985	C₄⋊Q₈	—	7	1	no	—
986	C₄⋊Q₈	—	7	1	no	—
987	C₄⋊Q₈	C₄×D₇	1	1	yes	characteristic
988	C₄⋊Q₈	C₄×D₇	1	1	yes	characteristic
989	#126	—	7	1	no	—
990	#126	—	7	1	no	—
991	#126	—	7	1	no	—
992	#126	—	7	1	no	—
993	#126	—	7	1	no	—
994	#126	—	7	1	no	—
995	#126	—	7	1	no	—
996	#126	—	7	1	no	—
997	#126	—	7	1	no	—
998	#126	—	7	1	no	—
999	#126	—	7	1	no	—
1000	#126	—	7	1	no	—
1001	#126	—	7	1	no	—
1002	#126	—	7	1	no	—
1003	#126	—	7	1	no	—
1004	#126	—	7	1	no	—
1005	#126	—	7	1	no	—
1006	#126	—	7	1	no	—
1007	#126	—	7	1	no	—
1008	#126	—	7	1	no	—
1009	#125	—	7	1	no	—
1010	#125	—	7	1	no	—
1011	#125	—	7	1	no	—
1012	#125	—	7	1	no	—
1013	#125	—	7	1	no	—
1014	#125	—	7	1	no	—
1015	#125	—	7	1	no	—
1016	#125	—	7	1	no	—
1017	#125	—	7	1	no	—
1018	#125	—	7	1	no	—
1019	#125	—	7	1	no	—
1020	#125	—	7	1	no	—
1021	#125	—	7	1	no	—
1022	#125	—	7	1	no	—
1023	#125	—	7	1	no	—
1024	#125	—	7	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	C₄×D₇	1	1	yes	characteristic
1028	#125	C₄×D₇	1	1	yes	characteristic
1029	#124	—	7	1	no	—
1030	#124	—	7	1	no	—
1031	#124	—	7	1	no	—
1032	#124	—	7	1	no	—
1033	#124	—	7	1	no	—
1034	#124	—	7	1	no	—
1035	#124	—	7	1	no	—
1036	#124	—	7	1	no	—
1037	#124	—	7	1	no	—
1038	#124	—	7	1	no	—
1039	#123	—	7	1	no	—
1040	#123	—	7	1	no	—
1041	#123	—	7	1	no	—
1042	#123	—	7	1	no	—
1043	#123	—	7	1	no	—
1044	#123	—	7	1	no	—
1045	#123	—	7	1	no	—
1046	#123	—	7	1	no	—
1047	#123	—	7	1	no	—
1048	#123	—	7	1	no	—
1049	#123	—	7	1	no	—
1050	#123	—	7	1	no	—
1051	#123	—	7	1	no	—
1052	#123	—	7	1	no	—
1053	#123	—	7	1	no	—
1054	#123	—	7	1	no	—
1055	#123	—	7	1	no	—
1056	#123	—	7	1	no	—
1057	#123	—	7	1	no	—
1058	#123	—	7	1	no	—
1059	C₂²⋊Q₈	—	7	1	no	—
1060	C₂²⋊Q₈	—	7	1	no	—
1061	C₂²⋊Q₈	—	7	1	no	—
1062	C₂²⋊Q₈	—	7	1	no	—
1063	C₂²⋊Q₈	—	7	1	no	—
1064	C₂²⋊Q₈	—	7	1	no	—
1065	C₂²⋊Q₈	—	7	1	no	—
1066	C₂²⋊Q₈	—	7	1	no	—
1067	C₂²⋊Q₈	—	7	1	no	—
1068	C₂²⋊Q₈	—	7	1	no	—
1069	C₂²⋊Q₈	—	7	1	no	—
1070	C₂²⋊Q₈	—	7	1	no	—
1071	C₂²⋊Q₈	—	7	1	no	—
1072	C₂²⋊Q₈	—	7	1	no	—
1073	C₂²⋊Q₈	—	7	1	no	—
1074	C₂²⋊Q₈	—	7	1	no	—
1075	C₂²⋊Q₈	—	7	1	no	—
1076	C₂²⋊Q₈	—	7	1	no	—
1077	C₂²⋊Q₈	—	7	1	no	—
1078	C₂²⋊Q₈	—	7	1	no	—
1079	C₂²⋊Q₈	—	7	1	no	—
1080	C₂²⋊Q₈	—	7	1	no	—
1081	C₂²⋊Q₈	—	7	1	no	—
1082	C₂²⋊Q₈	—	7	1	no	—
1083	C₂²⋊Q₈	—	7	1	no	—
1084	C₂²⋊Q₈	—	7	1	no	—
1085	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1086	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1087	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1088	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1089	#121	—	7	1	no	—
1090	#121	—	7	1	no	—
1091	#121	—	7	1	no	—
1092	#121	—	7	1	no	—
1093	#121	—	7	1	no	—
1094	#121	—	7	1	no	—
1095	#121	—	7	1	no	—
1096	#121	—	7	1	no	—
1097	#121	—	7	1	no	—
1098	#121	—	7	1	no	—
1099	C₄×Q₈	—	7	1	no	—
1100	C₄×Q₈	—	7	1	no	—
1101	C₄×Q₈	—	7	1	no	—
1102	C₄×Q₈	—	7	1	no	—
1103	C₄×Q₈	—	7	1	no	—
1104	C₄×Q₈	—	7	1	no	—
1105	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1106	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1107	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1108	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1109	C₄×D₄	—	7	1	no	—
1110	C₄×D₄	—	7	1	no	—
1111	C₄×D₄	—	7	1	no	—
1112	C₄×D₄	—	7	1	no	—
1113	C₄×D₄	—	7	1	no	—
1114	C₄×D₄	—	7	1	no	—
1115	C₄×D₄	—	7	1	no	—
1116	C₄×D₄	—	7	1	no	—
1117	C₄×D₄	—	7	1	no	—
1118	C₄×D₄	—	7	1	no	—
1119	#117	—	7	1	no	—
1120	#117	—	7	1	no	—
1121	#117	—	7	1	no	—
1122	#117	—	7	1	no	—
1123	#117	—	7	1	no	—
1124	#117	—	7	1	no	—
1125	#117	—	7	1	no	—
1126	#117	—	7	1	no	—
1127	#117	C₂²×D₇	1	1	yes	characteristic
1128	#117	C₂²×D₇	1	1	yes	characteristic
1129	C₂×C₄²	—	7	1	no	—
1130	C₂×C₄²	—	7	1	no	—
1131	C₂×C₄²	—	7	1	no	—
1132	C₂×C₄²	—	7	1	no	—
1133	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1134	C₄⋊C₈	—	7	1	no	—
1135	C₄⋊C₈	—	7	1	no	—
1136	C₄⋊C₈	—	7	1	no	—
1137	C₄⋊C₈	—	7	1	no	—
1138	C₄⋊C₈	—	7	1	no	—
1139	C₄⋊C₈	—	7	1	no	—
1140	C₄⋊C₈	—	7	1	no	—
1141	C₄⋊C₈	—	7	1	no	—
1142	C₄⋊C₈	—	7	1	no	—
1143	C₄⋊C₈	—	7	1	no	—
1144	C₄⋊C₈	—	7	1	no	—
1145	C₄⋊C₈	—	7	1	no	—
1146	C₄⋊C₈	—	7	1	no	—
1147	C₄⋊C₈	—	7	1	no	—
1148	C₄⋊C₈	—	7	1	no	—
1149	C₄⋊C₈	—	7	1	no	—
1150	C₄⋊C₈	—	7	1	no	—
1151	C₄⋊C₈	—	7	1	no	—
1152	C₄⋊C₈	—	7	1	no	—
1153	C₄⋊C₈	—	7	1	no	—
1154	C₄⋊C₈	—	7	1	no	—
1155	C₄⋊C₈	—	7	1	no	—
1156	C₄⋊C₈	—	7	1	no	—
1157	C₄⋊C₈	—	7	1	no	—
1158	C₄⋊C₈	—	7	1	no	—
1159	C₄⋊C₈	—	7	1	no	—
1160	C₄⋊C₈	—	7	1	no	—
1161	C₄⋊C₈	—	7	1	no	—
1162	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1163	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1164	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1165	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1166	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1167	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1168	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1169	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1170	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1171	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1172	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1173	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1174	C₂²⋊C₈	—	7	1	no	—
1175	C₂²⋊C₈	—	7	1	no	—
1176	C₂²⋊C₈	—	7	1	no	—
1177	C₂²⋊C₈	—	7	1	no	—
1178	C₂²⋊C₈	—	7	1	no	—
1179	C₂²⋊C₈	—	7	1	no	—
1180	C₂²⋊C₈	—	7	1	no	—
1181	C₂²⋊C₈	—	7	1	no	—
1182	C₂²⋊C₈	—	7	1	no	—
1183	C₂²⋊C₈	—	7	1	no	—
1184	C₂²⋊C₈	—	7	1	no	—
1185	C₂²⋊C₈	—	7	1	no	—
1186	C₂²⋊C₈	—	7	1	no	—
1187	C₂²⋊C₈	—	7	1	no	—
1188	C₂²⋊C₈	—	7	1	no	—
1189	C₂²⋊C₈	—	7	1	no	—
1190	C₂²⋊C₈	—	7	1	no	—
1191	C₂²⋊C₈	—	7	1	no	—
1192	C₂²⋊C₈	—	7	1	no	—
1193	C₂²⋊C₈	—	7	1	no	—
1194	#97	—	7	1	no	—
1195	#97	—	7	1	no	—
1196	#97	—	7	1	no	—
1197	#97	—	7	1	no	—
1198	#97	—	7	1	no	—
1199	#97	—	7	1	no	—
1200	#97	—	7	1	no	—
1201	#97	—	7	1	no	—
1202	#97	—	7	1	no	—
1203	#97	—	7	1	no	—
1204	#97	—	7	1	no	—
1205	#97	—	7	1	no	—
1206	#97	—	7	1	no	—
1207	#97	—	7	1	no	—
1208	#97	C₂²×D₇	1	1	yes	characteristic
1209	#97	C₂²×D₇	1	1	yes	characteristic
1210	#97	C₂²×D₇	1	1	yes	characteristic
1211	#97	C₂²×D₇	1	1	yes	characteristic
1212	#97	C₂²×D₇	1	1	yes	characteristic
1213	#97	C₂²×D₇	1	1	yes	characteristic
1214	C₄×C₈	—	7	1	no	—
1215	C₄×C₈	—	7	1	no	—
1216	C₄×C₈	—	7	1	no	—
1217	C₄×C₈	—	7	1	no	—
1218	C₄×C₈	—	7	1	no	—
1219	C₄×C₈	—	7	1	no	—
1220	C₄×C₈	—	7	1	no	—
1221	C₄×C₈	—	7	1	no	—
1222	C₄×C₈	—	7	1	no	—
1223	C₄×C₈	—	7	1	no	—
1224	C₄×C₈	—	7	1	no	—
1225	C₄×C₈	—	7	1	no	—
1226	C₄×C₈	—	7	1	no	—
1227	C₄×C₈	—	7	1	no	—
1228	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1229	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1230	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1231	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1232	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1233	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1234	C₂²×C₇	—	2	1	no	—
1235	C₂²×C₇	—	2	1	no	—
1236	C₂²×C₇	—	2	1	no	—
1237	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1238	C₂×D₇	—	2	1	no	—
1239	C₂×D₇	—	2	1	no	—
1240	C₂×D₇	—	2	1	no	—
1241	C₂×D₇	—	2	1	no	—
1242	C₂×D₇	—	2	1	no	—
1243	C₂×D₇	—	2	1	no	—
1244	C₂×D₇	—	2	1	no	—
1245	C₂×D₇	—	2	1	no	—
1246	C₂×D₇	—	2	1	no	—
1247	C₂×D₇	—	2	1	no	—
1248	C₂×D₇	—	2	1	no	—
1249	C₂×D₇	—	2	1	no	—
1250	C₄×C₇	—	2	1	no	—
1251	C₄×C₇	—	2	1	no	—
1252	C₄×C₇	—	2	1	no	—
1253	C₄×C₇	—	2	1	no	—
1254	C₄×C₇	—	2	1	no	—
1255	C₄×C₇	—	2	1	no	—
1256	C₄×C₇	—	2	1	no	—
1257	C₄×C₇	—	2	1	no	—
1258	C₄×C₇	—	2	1	no	—
1259	C₄×C₇	—	2	1	no	—
1260	C₄×C₇	—	2	1	no	—
1261	C₄×C₇	—	2	1	no	—
1262	C₄×C₇	—	2	1	no	—
1263	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1264	C₄×C₇	#585	1	1	yes	characteristic
1265	Dic₇	—	2	1	no	—
1266	Dic₇	—	2	1	no	—
1267	Dic₇	—	2	1	no	—
1268	Dic₇	—	2	1	no	—
1269	Dic₇	—	2	1	no	—
1270	Dic₇	—	2	1	no	—
1271	Dic₇	—	2	1	no	—
1272	Dic₇	—	2	1	no	—
1273	Dic₇	—	2	1	no	—
1274	Dic₇	—	2	1	no	—
1275	Dic₇	—	2	1	no	—
1276	Dic₇	—	2	1	no	—
1277	C₂×Q₈	—	7	1	no	—
1278	C₂×Q₈	—	7	1	no	—
1279	C₂×Q₈	—	7	1	no	—
1280	C₂×Q₈	—	7	1	no	—
1281	C₂×Q₈	—	7	1	no	—
1282	C₂×Q₈	—	7	1	no	—
1283	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1284	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1285	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1286	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1287	C₂×D₄	—	7	1	no	—
1288	C₂×D₄	—	7	1	no	—
1289	C₂×D₄	—	7	1	no	—
1290	C₂×D₄	—	7	1	no	—
1291	C₂×D₄	—	7	1	no	—
1292	C₂×D₄	—	7	1	no	—
1293	C₂×D₄	—	7	1	no	—
1294	C₂×D₄	—	7	1	no	—
1295	C₂×D₄	—	7	1	no	—
1296	C₂×D₄	—	7	1	no	—
1297	C₂²×C₄	—	7	1	no	—
1298	C₂²×C₄	—	7	1	no	—
1299	C₂²×C₄	—	7	1	no	—
1300	C₂²×C₄	—	7	1	no	—
1301	C₂²×C₄	—	7	1	no	—
1302	C₂²×C₄	—	7	1	no	—
1303	C₂²×C₄	—	7	1	no	—
1304	C₂²×C₄	—	7	1	no	—
1305	C₂²×C₄	—	7	1	no	—
1306	C₂²×C₄	—	7	1	no	—
1307	C₂²×C₄	—	7	1	no	—
1308	C₂²×C₄	—	7	1	no	—
1309	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1310	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1311	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1312	M₁₆	—	2	2	no	—
1313	M₁₆	—	4	1	no	—
1314	M₁₆	—	14	2	no	—
1315	M₁₆	—	28	1	no	—
1316	M₁₆	—	28	1	no	—
1317	M₁₆	—	28	1	no	—
1318	M₁₆	—	28	1	no	—
1319	M₁₆	—	28	1	no	—
1320	M₁₆	—	28	1	no	—
1321	M₁₆	—	28	1	no	—
1322	C₂×C₈	—	4	1	no	—
1323	C₂×C₈	—	4	1	no	—
1324	C₂×C₈	—	7	1	no	—
1325	C₂×C₈	—	7	1	no	—
1326	C₂×C₈	—	7	1	no	—
1327	C₂×C₈	—	7	1	no	—
1328	C₂×C₈	—	7	1	no	—
1329	C₂×C₈	—	7	1	no	—
1330	C₂×C₈	—	7	1	no	—
1331	C₂×C₈	—	7	1	no	—
1332	C₂×C₈	—	14	2	no	—
1333	C₂×C₈	—	14	2	no	—
1334	C₂×C₈	—	14	2	no	—
1335	C₂×C₈	—	28	1	no	—
1336	C₂×C₈	—	28	1	no	—
1337	C₂×C₈	—	28	1	no	—
1338	C₂×C₈	—	28	1	no	—
1339	C₂×C₈	—	28	1	no	—
1340	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1341	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1343	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1345	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1346	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1347	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1348	C₄⋊C₄	—	7	1	no	—
1349	C₄⋊C₄	—	7	1	no	—
1350	C₄⋊C₄	—	7	1	no	—
1351	C₄⋊C₄	—	7	1	no	—
1352	C₄⋊C₄	—	7	1	no	—
1353	C₄⋊C₄	—	7	1	no	—
1354	C₄⋊C₄	—	7	1	no	—
1355	C₄⋊C₄	—	7	1	no	—
1356	C₄⋊C₄	—	7	1	no	—
1357	C₄⋊C₄	—	7	1	no	—
1358	C₄⋊C₄	—	7	1	no	—
1359	C₄⋊C₄	—	7	1	no	—
1360	C₄⋊C₄	—	7	1	no	—
1361	C₄⋊C₄	—	7	1	no	—
1362	C₄⋊C₄	—	7	1	no	—
1363	C₄⋊C₄	—	7	1	no	—
1364	C₄⋊C₄	—	7	1	no	—
1365	C₄⋊C₄	—	7	1	no	—
1366	C₄⋊C₄	—	7	1	no	—
1367	C₄⋊C₄	—	7	1	no	—
1368	C₄⋊C₄	—	7	1	no	—
1369	C₄⋊C₄	—	7	1	no	—
1370	C₄⋊C₄	—	7	1	no	—
1371	C₄⋊C₄	—	7	1	no	—
1372	C₄⋊C₄	—	7	1	no	—
1373	C₄⋊C₄	—	7	1	no	—
1374	C₄⋊C₄	—	7	1	no	—
1375	C₄⋊C₄	—	7	1	no	—
1376	C₄⋊C₄	—	7	1	no	—
1377	C₄⋊C₄	—	7	1	no	—
1378	C₄⋊C₄	—	7	1	no	—
1379	C₄⋊C₄	—	7	1	no	—
1380	C₄⋊C₄	—	7	1	no	—
1381	C₄⋊C₄	—	7	1	no	—
1382	C₄⋊C₄	—	7	1	no	—
1383	C₄⋊C₄	—	7	1	no	—
1384	C₄⋊C₄	—	7	1	no	—
1385	C₄⋊C₄	—	7	1	no	—
1386	C₄⋊C₄	—	7	1	no	—
1387	C₄⋊C₄	—	7	1	no	—
1388	C₄⋊C₄	—	7	1	no	—
1389	C₄⋊C₄	—	7	1	no	—
1390	C₄⋊C₄	—	7	1	no	—
1391	C₄⋊C₄	—	7	1	no	—
1392	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1408	C₂²⋊C₄	—	7	1	no	—
1409	C₂²⋊C₄	—	7	1	no	—
1410	C₂²⋊C₄	—	7	1	no	—
1411	C₂²⋊C₄	—	7	1	no	—
1412	C₂²⋊C₄	—	7	1	no	—
1413	C₂²⋊C₄	—	7	1	no	—
1414	C₂²⋊C₄	—	7	1	no	—
1415	C₂²⋊C₄	—	7	1	no	—
1416	C₂²⋊C₄	—	7	1	no	—
1417	C₂²⋊C₄	—	7	1	no	—
1418	C₂²⋊C₄	—	7	1	no	—
1419	C₂²⋊C₄	—	7	1	no	—
1420	C₂²⋊C₄	—	7	1	no	—
1421	C₂²⋊C₄	—	7	1	no	—
1422	C₂²⋊C₄	—	7	1	no	—
1423	C₂²⋊C₄	—	7	1	no	—
1424	C₂²⋊C₄	—	7	1	no	—
1425	C₂²⋊C₄	—	7	1	no	—
1426	C₂²⋊C₄	—	7	1	no	—
1427	C₂²⋊C₄	—	7	1	no	—
1428	C₂²⋊C₄	—	7	1	no	—
1429	C₂²⋊C₄	—	7	1	no	—
1430	C₂²⋊C₄	—	7	1	no	—
1431	C₂²⋊C₄	—	7	1	no	—
1432	C₂²⋊C₄	—	7	1	no	—
1433	C₂²⋊C₄	—	7	1	no	—
1434	C₂²⋊C₄	—	7	1	no	—
1435	C₂²⋊C₄	—	7	1	no	—
1436	C₂²⋊C₄	—	7	1	no	—
1437	C₂²⋊C₄	—	7	1	no	—
1438	C₂²⋊C₄	—	7	1	no	—
1439	C₂²⋊C₄	—	7	1	no	—
1440	C₂²⋊C₄	—	7	1	no	—
1441	C₂²⋊C₄	—	7	1	no	—
1442	C₂²⋊C₄	—	7	1	no	—
1443	C₂²⋊C₄	—	7	1	no	—
1444	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1448	C₄²	—	7	1	no	—
1449	C₄²	—	7	1	no	—
1450	C₄²	—	7	1	no	—
1451	C₄²	—	7	1	no	—
1452	C₄²	—	7	1	no	—
1453	C₄²	—	7	1	no	—
1454	C₄²	—	7	1	no	—
1455	C₄²	—	7	1	no	—
1456	C₄²	—	7	1	no	—
1457	C₄²	—	7	1	no	—
1458	C₄²	—	7	1	no	—
1459	C₄²	—	7	1	no	—
1460	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1461	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1462	C₄²	C₂³×D₇	1	1	yes	characteristic
1463	C₄²	C₂³×D₇	1	1	yes	characteristic
1464	C₄²	C₂³×D₇	1	1	yes	characteristic
1465	C₄²	C₂³×D₇	1	1	yes	characteristic
1466	C₄²	C₂³×D₇	1	1	yes	characteristic
1467	C₄²	C₂³×D₇	1	1	yes	characteristic
1468	C₂×C₇	—	4	1	no	—
1469	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1470	C₂×C₇	#3573	1	1	yes	characteristic
1471	C₂×C₇	#3573	1	1	yes	characteristic
1472	D₇	—	4	1	no	—
1473	D₇	—	4	1	no	—
1474	D₇	—	4	1	no	—
1475	D₇	—	4	1	no	—
1476	C₂³	—	7	1	no	—
1477	C₂³	—	7	1	no	—
1478	C₂³	—	7	1	no	—
1479	C₂³	—	7	1	no	—
1480	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1481	Q₈	—	4	1	no	—
1482	Q₈	—	4	1	no	—
1483	Q₈	—	4	1	no	—
1484	Q₈	—	4	1	no	—
1485	Q₈	—	28	1	no	—
1486	Q₈	—	28	1	no	—
1487	Q₈	—	28	1	no	—
1488	Q₈	—	28	1	no	—
1489	Q₈	—	28	1	no	—
1490	Q₈	—	28	1	no	—
1491	D₄	—	28	1	no	—
1492	D₄	—	28	1	no	—
1493	D₄	—	28	1	no	—
1494	D₄	—	28	1	no	—
1495	D₄	—	28	1	no	—
1496	D₄	—	28	1	no	—
1497	D₄	—	28	1	no	—
1498	D₄	—	28	1	no	—
1499	D₄	—	28	1	no	—
1500	D₄	—	28	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	4	1	no	—
1504	C₂×C₄	—	4	1	no	—
1505	C₂×C₄	—	7	1	no	—
1506	C₂×C₄	—	7	1	no	—
1507	C₂×C₄	—	7	1	no	—
1508	C₂×C₄	—	7	1	no	—
1509	C₂×C₄	—	7	1	no	—
1510	C₂×C₄	—	7	1	no	—
1511	C₂×C₄	—	7	1	no	—
1512	C₂×C₄	—	7	1	no	—
1513	C₂×C₄	—	7	1	no	—
1514	C₂×C₄	—	7	1	no	—
1515	C₂×C₄	—	7	1	no	—
1516	C₂×C₄	—	7	1	no	—
1517	C₂×C₄	—	14	1	no	—
1518	C₂×C₄	—	14	1	no	—
1519	C₂×C₄	—	14	1	no	—
1520	C₂×C₄	—	14	1	no	—
1521	C₂×C₄	—	14	1	no	—
1522	C₂×C₄	—	14	1	no	—
1523	C₂×C₄	—	14	1	no	—
1524	C₂×C₄	—	14	1	no	—
1525	C₂×C₄	—	28	1	no	—
1526	C₂×C₄	—	28	1	no	—
1527	C₂×C₄	—	28	1	no	—
1528	C₂×C₄	—	28	1	no	—
1529	C₂×C₄	—	28	1	no	—
1530	C₂×C₄	—	28	1	no	—
1531	C₂×C₄	—	28	1	no	—
1532	C₂×C₄	—	28	1	no	—
1533	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1534	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1535	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1536	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1537	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1538	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1539	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1540	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1541	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1542	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1543	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1544	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1545	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1546	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1547	C₈	—	2	1	no	—
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	2	1	no	—
1551	C₈	—	2	1	no	—
1552	C₈	—	2	1	no	—
1553	C₈	—	2	1	no	—
1554	C₈	—	14	1	no	—
1555	C₈	—	14	1	no	—
1556	C₈	—	14	1	no	—
1557	C₈	—	14	1	no	—
1558	C₈	—	14	1	no	—
1559	C₈	—	14	1	no	—
1560	C₈	—	14	1	no	—
1561	C₈	—	14	1	no	—
1562	C₈	#6551	1	2	yes	—
1563	C₇	#60346	1	1	yes	characteristic, complemented, Sylow
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	14	1	no	—
1568	C₂²	—	14	1	no	—
1569	C₂²	—	14	1	no	—
1570	C₂²	—	14	1	no	—
1571	C₂²	—	14	1	no	—
1572	C₂²	—	14	1	no	—
1573	C₂²	—	14	1	no	—
1574	C₂²	—	14	1	no	—
1575	C₂²	—	14	1	no	—
1576	C₂²	—	14	1	no	—
1577	C₂²	—	14	1	no	—
1578	C₂²	—	14	1	no	—
1579	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1580	C₄	—	2	1	no	—
1581	C₄	—	2	1	no	—
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	14	1	no	—
1594	C₄	—	14	1	no	—
1595	C₄	—	14	1	no	—
1596	C₄	—	14	1	no	—
1597	C₄	—	14	1	no	—
1598	C₄	—	14	1	no	—
1599	C₄	—	14	1	no	—
1600	C₄	—	14	1	no	—
1601	C₄	—	14	1	no	—
1602	C₄	—	14	1	no	—
1603	C₄	—	14	1	no	—
1604	C₄	—	14	1	no	—
1605	C₄	C₂×#6551	1	1	yes	characteristic
1606	C₄	#90616	1	1	yes	characteristic
1607	C₂	—	4	1	no	—
1608	C₂	—	28	1	no	—
1609	C₂	—	28	1	no	—
1610	C₂	—	28	1	no	—
1611	C₂	—	28	1	no	—
1612	C₂	C₄×#6551	1	1	yes	characteristic
1613	C₂	#11744228	1	1	yes	characteristic
1614	C₂	#11744234	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2962	C₂
prime radical	#11743354	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2962	D₇
hypocenter	C₇	#60346
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2962

Complements

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

N	H ≅ G/N	type
2. C₇×#2962	C₂	semidirect
3. #11740776	C₂	semidirect
4. #11737413	C₂	semidirect
5. #11737412	C₂	semidirect
6. #11737411	C₂	semidirect
7. #11737404	C₂	semidirect
8. #11737404	C₂	semidirect
9. #11737403	C₂	semidirect
10. #11737394	C₂	semidirect
11. #11737392	C₂	semidirect
12. #11737391	C₂	semidirect
13. #11737387	C₂	semidirect
14. #11737386	C₂	semidirect
15. #11737386	C₂	semidirect
16. #11737368	C₂	semidirect
17. #11737363	C₂	semidirect
18. #11737353	C₂	semidirect
19. #11737348	C₂	semidirect
20. #11736530	C₂	semidirect
21. #11736529	C₂	semidirect
22. #11736528	C₂	semidirect
23. #11736528	C₂	semidirect
24. #11736462	C₂	semidirect
25. #11736461	C₂	semidirect
26. #11736003	C₂	semidirect
27. #11736003	C₂	semidirect
28. #11736002	C₂	semidirect
29. #11736001	C₂	semidirect
30. #11735956	C₂	semidirect
31. #11735955	C₂	semidirect
506. #2962	D₇	semidirect
1563. C₇	#60346	semidirect

Maximal subgroups

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

subgroup	index
#11743354	2
C₇×#2962	2
#11740776	2
#11737413	2
#11737412	2
#11737411	2
#11737404	2
#11737403	2
#11737394	2
#11737392	2
#11737391	2
#11737387	2
#11737386	2
#11737368	2
#11737363	2
#11737353	2
#11737348	2
#11736530	2
#11736529	2
#11736528	2
#11736462	2
#11736461	2
#11736003	2
#11736002	2
#11736001	2
#11735956	2
#11735955	2
#60346	7