Subgroups — #14226185

Order 1792.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₇×#544	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743618	C₂	1	1	yes	maximal, characteristic
3	C₇×#3243	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740922	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740899	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739423	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739420	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739386	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739384	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739135	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739125	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739093	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739083	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738960	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738951	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738913	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738906	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738818	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738805	C₂	1	1	yes	maximal, characteristic, complemented
20	D₇×#480	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738723	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738682	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738679	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738619	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738613	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738560	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738556	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738414	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738412	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736819	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736807	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic, complemented
33	C₇×#542	C₂²	1	1	yes	characteristic
34	#90420	—	2	1	no	—
35	#90420	C₂²	1	1	yes	characteristic
36	#90420	C₂²	1	1	yes	characteristic
37	#90420	C₂²	1	1	yes	characteristic
38	#90416	C₂²	1	1	yes	characteristic
39	D₇×C₄⋊Q₈	—	2	1	no	—
40	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	#90400	—	2	1	no	—
43	#90396	—	2	1	no	—
44	#90380	—	2	1	no	—
45	#90380	C₂²	1	1	yes	characteristic
46	#90380	C₂²	1	1	yes	characteristic
47	D₇×#125	—	2	1	no	—
48	D₇×#125	C₂²	1	1	yes	characteristic, complemented
49	D₇×#125	C₂²	1	1	yes	characteristic, complemented
50	#90371	C₂²	1	1	yes	characteristic
51	#90367	—	2	1	no	—
52	#90365	C₂²	1	1	yes	characteristic
53	#90361	—	2	1	no	—
54	#90352	—	2	1	no	—
55	#90345	—	2	1	no	—
56	#90334	C₂²	1	1	yes	characteristic
57	#90328	—	2	1	no	—
58	#90322	—	2	1	no	—
59	#90318	C₂²	1	1	yes	characteristic
60	D₇×C₂²⋊Q₈	—	2	1	no	—
61	D₇×C₂²⋊Q₈	—	2	1	no	—
62	#90314	—	2	1	no	—
63	#90314	—	2	1	no	—
64	#90310	C₂²	1	1	yes	characteristic
65	D₇×#121	C₂²	1	1	yes	characteristic
66	#90271	C₂²	1	1	yes	characteristic
67	#90265	C₂²	1	1	yes	characteristic
68	#90239	C₂²	1	1	yes	characteristic
69	#90236	C₂²	1	1	yes	characteristic
70	#90226	C₂²	1	1	yes	characteristic
71	D₇×#117	C₂²	1	1	yes	characteristic
72	D₇×#117	C₂²	1	1	yes	characteristic
73	#90210	C₂²	1	1	yes	characteristic, complemented
74	#90210	C₂²	1	1	yes	characteristic, complemented
75	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic, complemented
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#500	C₂²	1	1	yes	characteristic, complemented
79	C₇×#489	C₂²	1	1	yes	characteristic, complemented
80	C₇×#488	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic, complemented
82	C₇×#484	C₂²	1	1	yes	characteristic, complemented
83	C₇×#482	C₂²	1	1	yes	characteristic
84	C₇×#480	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#478	C₂²	1	1	yes	characteristic, complemented
87	C₇×#477	C₂²	1	1	yes	characteristic, complemented
88	C₇×#474	C₂²	1	1	yes	characteristic, complemented
89	C₇×#433	C₂²	1	1	yes	characteristic, complemented
90	#89860	C₂²	1	1	yes	characteristic, complemented
91	#89859	C₂²	1	1	yes	characteristic, complemented
92	#89856	C₂²	1	1	yes	characteristic, complemented
93	#89852	C₂²	1	1	yes	characteristic, complemented
94	#89852	C₂²	1	1	yes	characteristic, complemented
95	#89850	C₂²	1	1	yes	characteristic, complemented
96	#89839	C₂²	1	1	yes	characteristic, complemented
97	#89838	C₂²	1	1	yes	characteristic, complemented
98	#89838	C₂²	1	1	yes	characteristic, complemented
99	#89836	C₂²	1	1	yes	characteristic, complemented
100	#89828	C₂²	1	1	yes	characteristic, complemented
101	#89827	C₂²	1	1	yes	characteristic, complemented
102	#89817	C₂²	1	1	yes	characteristic, complemented
103	#89816	C₂²	1	1	yes	characteristic, complemented
104	#89807	C₂²	1	1	yes	characteristic
105	#89805	C₂²	1	1	yes	characteristic
106	#89794	C₂²	1	1	yes	characteristic, complemented
107	#89793	C₂²	1	1	yes	characteristic, complemented
108	#89781	C₂²	1	1	yes	characteristic, complemented
109	#89779	C₂²	1	1	yes	characteristic, complemented
110	#89775	C₂²	1	1	yes	characteristic
111	#89775	C₂²	1	1	yes	characteristic, complemented
112	#89772	C₂²	1	1	yes	characteristic, complemented
113	#89740	C₂²	1	1	yes	characteristic, complemented
114	#89739	C₂²	1	1	yes	characteristic
115	#89663	C₂²	1	1	yes	characteristic, complemented
116	#89663	C₂²	1	1	yes	characteristic, complemented
117	#89662	C₂²	1	1	yes	characteristic, complemented
118	#89662	C₂²	1	1	yes	characteristic, complemented
119	#89662	C₂²	1	1	yes	characteristic, complemented
120	#89662	C₂²	1	1	yes	characteristic, complemented
121	#89654	C₂²	1	1	yes	characteristic
122	#89654	C₂²	1	1	yes	characteristic
123	#89654	C₂²	1	1	yes	characteristic
124	#89654	C₂²	1	1	yes	characteristic, complemented
125	#89654	C₂²	1	1	yes	characteristic, complemented
126	#89654	C₂²	1	1	yes	characteristic, complemented
127	#89653	C₂²	1	1	yes	characteristic
128	#89653	C₂²	1	1	yes	characteristic
129	#89653	C₂²	1	1	yes	characteristic
130	#89652	C₂²	1	1	yes	characteristic
131	D₇×#107	C₂²	1	1	yes	characteristic
132	D₇×#107	C₂²	1	1	yes	characteristic
133	#89650	C₂²	1	1	yes	characteristic, complemented
134	#89648	C₂²	1	1	yes	characteristic, complemented
135	#89648	C₂²	1	1	yes	characteristic, complemented
136	#89648	C₂²	1	1	yes	characteristic, complemented
137	#89646	C₂²	1	1	yes	characteristic, complemented
138	#89646	C₂²	1	1	yes	characteristic, complemented
139	#89643	C₂²	1	1	yes	characteristic, complemented
140	#89643	C₂²	1	1	yes	characteristic, complemented
141	#89635	C₂²	1	1	yes	characteristic
142	#89635	C₂²	1	1	yes	characteristic, complemented
143	#89633	C₂²	1	1	yes	characteristic
144	#89632	C₂²	1	1	yes	characteristic
145	#89630	C₂²	1	1	yes	characteristic, complemented
146	#89628	C₂²	1	1	yes	characteristic, complemented
147	#89619	C₂²	1	1	yes	characteristic, complemented
148	#89619	C₂²	1	1	yes	characteristic, complemented
149	#89618	C₂²	1	1	yes	characteristic, complemented
150	#89614	C₂²	1	1	yes	characteristic, complemented
151	#89611	C₂²	1	1	yes	characteristic
152	#89611	C₂²	1	1	yes	characteristic
153	#89607	C₂²	1	1	yes	characteristic, complemented
154	#89605	C₂²	1	1	yes	characteristic, complemented
155	#89581	C₂²	1	1	yes	characteristic, complemented
156	#89577	C₂²	1	1	yes	characteristic, complemented
157	#89577	C₂²	1	1	yes	characteristic, complemented
158	#89577	C₂²	1	1	yes	characteristic, complemented
159	#89576	C₂²	1	1	yes	characteristic
160	#89576	C₂²	1	1	yes	characteristic
161	#89575	C₂²	1	1	yes	characteristic
162	#89575	C₂²	1	1	yes	characteristic
163	#89572	C₂²	1	1	yes	characteristic, complemented
164	#89572	C₂²	1	1	yes	characteristic, complemented
165	#89571	C₂²	1	1	yes	characteristic, complemented
166	#89568	C₂²	1	1	yes	characteristic, complemented
167	#89567	C₂²	1	1	yes	characteristic, complemented
168	#89567	C₂²	1	1	yes	characteristic, complemented
169	#89566	C₂²	1	1	yes	characteristic, complemented
170	#89566	C₂²	1	1	yes	characteristic, complemented
171	#89549	C₂²	1	1	yes	characteristic
172	#89546	C₂²	1	1	yes	characteristic
173	#89546	C₂²	1	1	yes	characteristic
174	#89546	C₂²	1	1	yes	characteristic
175	#89542	C₂²	1	1	yes	characteristic
176	#89542	C₂²	1	1	yes	characteristic
177	D₇×#102	C₂²	1	1	yes	characteristic
178	D₇×#102	C₂²	1	1	yes	characteristic
179	#89538	C₂²	1	1	yes	characteristic, complemented
180	#89536	C₂²	1	1	yes	characteristic, complemented
181	#89536	C₂²	1	1	yes	characteristic, complemented
182	#89535	C₂²	1	1	yes	characteristic, complemented
183	#89533	C₂²	1	1	yes	characteristic, complemented
184	#89533	C₂²	1	1	yes	characteristic, complemented
185	#89532	C₂²	1	1	yes	characteristic, complemented
186	#89532	C₂²	1	1	yes	characteristic, complemented
187	#89509	C₂²	1	1	yes	characteristic
188	#89509	C₂²	1	1	yes	characteristic, complemented
189	#89508	C₂²	1	1	yes	characteristic
190	#89507	C₂²	1	1	yes	characteristic, complemented
191	#89498	C₂²	1	1	yes	characteristic
192	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#89492	C₂²	1	1	yes	characteristic, complemented
194	#89492	C₂²	1	1	yes	characteristic, complemented
195	#89485	C₂²	1	1	yes	characteristic, complemented
196	#89480	C₂²	1	1	yes	characteristic
197	#89477	C₂²	1	1	yes	characteristic, complemented
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	#89466	C₂²	1	1	yes	characteristic, complemented
200	#89461	C₂²	1	1	yes	characteristic
201	#89457	C₂²	1	1	yes	characteristic, complemented
202	#89455	C₂²	1	1	yes	characteristic, complemented
203	#60871	—	7	1	no	maximal, Sylow
204	C₂×#1161	—	2	1	no	—
205	C₂×#1161	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₇	—	2	1	no	—
207	C₂×Q₈×D₇	—	2	1	no	—
208	C₂×D₄×D₇	—	2	1	no	—
209	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
210	C₂×#1157	—	2	1	no	—
211	C₂²×C₄×D₇	—	2	1	no	—
212	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	—	2	1	no	—
214	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₇×#126	—	2	1	no	—
218	C₇×#125	—	2	1	no	—
219	C₇×#125	C₂³	1	1	yes	characteristic
220	C₇×#125	C₂³	1	1	yes	characteristic
221	C₇×#124	—	2	1	no	—
222	C₇×#124	C₂³	1	1	yes	characteristic
223	C₇×#123	—	2	1	no	—
224	C₇×C₂²⋊Q₈	—	2	1	no	—
225	C₇×C₂²⋊Q₈	—	2	1	no	—
226	C₇×C₂²⋊Q₈	—	2	1	no	—
227	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₇×#121	C₂³	1	1	yes	characteristic
229	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
231	C₇×#117	C₂³	1	1	yes	characteristic
232	C₇×#117	C₂³	1	1	yes	characteristic
233	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	#6510	—	2	1	no	—
235	#6510	C₂³	1	1	yes	characteristic
236	#6509	—	2	1	no	—
237	#6509	—	2	1	no	—
238	#6509	—	2	1	no	—
239	#6509	C₂³	1	1	yes	characteristic
240	Q₈×Dic₇	C₂³	1	1	yes	characteristic
241	#6507	—	2	1	no	—
242	#6507	—	2	1	no	—
243	#6507	—	2	1	no	—
244	#6507	—	2	1	no	—
245	#6507	—	2	1	no	—
246	#6503	C₂³	1	1	yes	characteristic
247	#6502	—	2	1	no	—
248	#6502	—	2	1	no	—
249	#6501	—	2	1	no	—
250	#6501	C₂³	1	1	yes	characteristic
251	D₄×Dic₇	C₂³	1	1	yes	characteristic
252	#6493	C₂³	1	1	yes	characteristic
253	#6493	C₂³	1	1	yes	characteristic
254	C₄×C₂²⋊D₇	—	2	1	no	—
255	C₄×C₂²⋊D₇	—	2	1	no	—
256	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
257	#6489	C₂³	1	1	yes	characteristic
258	#6489	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
260	#6487	—	2	1	no	—
261	#6487	—	2	1	no	—
262	C₂×Dic₇⋊C₄	—	2	1	no	—
263	C₂×#1131	C₂³	1	1	yes	characteristic
264	C₂×#1131	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	—	2	1	no	—
268	#6461	—	2	1	no	—
269	#6460	—	2	1	no	—
270	#6460	—	2	1	no	—
271	#6460	—	2	1	no	—
272	#6459	—	2	1	no	—
273	#6459	—	2	1	no	—
274	#6459	—	2	1	no	—
275	#6459	—	2	1	no	—
276	#6459	—	2	1	no	—
277	#6458	—	2	1	no	—
278	#6458	C₂³	1	1	yes	characteristic
279	#6458	C₂³	1	1	yes	characteristic
280	#6457	—	2	1	no	—
281	#6457	—	2	1	no	—
282	#6457	—	2	1	no	—
283	#6457	—	2	1	no	—
284	#6456	—	2	1	no	—
285	#6456	—	2	1	no	—
286	#6456	—	2	1	no	—
287	#6456	C₂³	1	1	yes	characteristic
288	#6456	C₂³	1	1	yes	characteristic
289	#6455	D₄	1	1	yes	characteristic
290	#6455	D₄	1	1	yes	characteristic
291	#6455	C₂³	1	1	yes	characteristic
292	#6455	C₂³	1	1	yes	characteristic
293	#6455	C₂³	1	1	yes	characteristic
294	D₇×C₄⋊C₄	—	2	1	no	—
295	D₇×C₄⋊C₄	—	2	1	no	—
296	D₇×C₄⋊C₄	—	2	1	no	—
297	D₇×C₄⋊C₄	—	2	1	no	—
298	D₇×C₄⋊C₄	—	2	1	no	—
299	D₇×C₄⋊C₄	—	2	1	no	—
300	D₇×C₄⋊C₄	—	2	1	no	—
301	D₇×C₄⋊C₄	—	2	1	no	—
302	D₇×C₄⋊C₄	—	2	1	no	—
303	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
304	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
305	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	#6453	—	2	1	no	—
313	#6453	—	2	1	no	—
314	#6453	C₂³	1	1	yes	characteristic
315	#6453	C₂³	1	1	yes	characteristic
316	#6453	C₂³	1	1	yes	characteristic
317	#6453	C₂³	1	1	yes	characteristic
318	#6453	C₂³	1	1	yes	characteristic
319	#6452	—	2	1	no	—
320	#6452	—	2	1	no	—
321	#6452	—	2	1	no	—
322	#6452	—	2	1	no	—
323	#6452	—	2	1	no	—
324	#6452	—	2	1	no	—
325	#6452	—	2	1	no	—
326	#6452	—	2	1	no	—
327	#6452	—	2	1	no	—
328	#6451	—	2	1	no	—
329	#6451	—	2	1	no	—
330	#6451	—	2	1	no	—
331	#6451	—	2	1	no	—
332	#6451	—	2	1	no	—
333	#6451	—	2	1	no	—
334	#6451	C₂³	1	1	yes	characteristic
335	#6451	C₂³	1	1	yes	characteristic
336	#6451	C₂³	1	1	yes	characteristic
337	#6451	C₂³	1	1	yes	characteristic
338	#6451	C₂³	1	1	yes	characteristic
339	#6449	—	2	1	no	—
340	#6448	—	2	1	no	—
341	#6448	—	2	1	no	—
342	#6447	—	2	1	no	—
343	#6447	—	2	1	no	—
344	#6447	—	2	1	no	—
345	#6447	—	2	1	no	—
346	#6447	—	2	1	no	—
347	#6447	—	2	1	no	—
348	#6446	—	2	1	no	—
349	#6446	—	2	1	no	—
350	#6446	—	2	1	no	—
351	#6445	—	2	1	no	—
352	#6445	—	2	1	no	—
353	#6445	—	2	1	no	—
354	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
355	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
356	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
357	D₇×C₂²⋊C₄	—	2	1	no	—
358	D₇×C₂²⋊C₄	—	2	1	no	—
359	D₇×C₂²⋊C₄	—	2	1	no	—
360	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
361	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
362	#6442	—	2	1	no	—
363	#6441	—	2	1	no	—
364	#6441	—	2	1	no	—
365	#6441	—	2	1	no	—
366	#6441	—	2	1	no	—
367	#6440	—	2	1	no	—
368	#6440	—	2	1	no	—
369	#6440	D₄	1	1	yes	characteristic
370	#6440	D₄	1	1	yes	characteristic
371	#6437	C₂³	1	1	yes	characteristic
372	C₄×D₂₈	—	2	1	no	—
373	C₄×D₂₈	—	2	1	no	—
374	C₄×D₂₈	C₂³	1	1	yes	characteristic
375	C₄×D₂₈	C₂³	1	1	yes	characteristic
376	#6435	—	2	1	no	—
377	#6435	—	2	1	no	—
378	#6435	—	2	1	no	—
379	#6435	C₂³	1	1	yes	characteristic
380	#6435	C₂³	1	1	yes	characteristic
381	C₄²×D₇	—	2	1	no	—
382	C₄²×D₇	C₂³	1	1	yes	characteristic
383	C₄²×D₇	C₂³	1	1	yes	characteristic
384	#6433	—	2	1	no	—
385	#6433	C₂³	1	1	yes	characteristic
386	#6433	C₂³	1	1	yes	characteristic
387	#6433	C₂³	1	1	yes	characteristic
388	#6432	—	2	1	no	—
389	#6432	C₂³	1	1	yes	characteristic
390	#6432	C₂³	1	1	yes	characteristic
391	C₇×#107	C₂³	1	1	yes	characteristic
392	C₇×#107	C₂³	1	1	yes	characteristic
393	C₇×#107	C₂³	1	1	yes	characteristic
394	C₇×#107	C₂³	1	1	yes	characteristic
395	C₇×#107	C₂³	1	1	yes	characteristic
396	C₇×#107	C₂³	1	1	yes	characteristic
397	C₇×#106	C₂³	1	1	yes	characteristic
398	C₇×#106	C₂³	1	1	yes	characteristic
399	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₇×#103	C₂³	1	1	yes	characteristic
402	C₇×#103	C₂³	1	1	yes	characteristic
403	C₇×#103	C₂³	1	1	yes	characteristic
404	C₇×#103	C₂³	1	1	yes	characteristic
405	C₇×#102	C₂³	1	1	yes	characteristic
406	C₇×#102	C₂³	1	1	yes	characteristic
407	C₇×#102	C₂³	1	1	yes	characteristic
408	C₇×#102	C₂³	1	1	yes	characteristic
409	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×#97	C₂³	1	1	yes	characteristic
412	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#6409	C₂³	1	1	yes	characteristic
417	#6406	C₂³	1	1	yes	characteristic
418	#6406	C₂³	1	1	yes	characteristic
419	#6406	C₂³	1	1	yes	characteristic
420	#6406	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	#6395	C₂³	1	1	yes	characteristic
424	#6395	C₂³	1	1	yes	characteristic
425	#6395	C₂³	1	1	yes	characteristic
426	#6395	C₂³	1	1	yes	characteristic
427	#6395	C₂³	1	1	yes	characteristic
428	#6395	C₂³	1	1	yes	characteristic
429	#6395	C₂³	1	1	yes	characteristic
430	#6395	C₂³	1	1	yes	characteristic
431	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
433	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
434	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
435	#6392	C₂³	1	1	yes	characteristic
436	#6392	C₂³	1	1	yes	characteristic
437	#6392	C₂³	1	1	yes	characteristic
438	#6392	C₂³	1	1	yes	characteristic
439	#6391	C₂³	1	1	yes	characteristic
440	#6391	C₂³	1	1	yes	characteristic
441	#6391	C₂³	1	1	yes	characteristic
442	#6391	C₂³	1	1	yes	characteristic
443	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	#6383	C₂³	1	1	yes	characteristic
452	#6383	C₂³	1	1	yes	characteristic
453	#6383	C₂³	1	1	yes	characteristic
454	#6383	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6382	C₂³	1	1	yes	characteristic
460	#6382	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	#6381	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	#6381	C₂³	1	1	yes	characteristic
470	#6381	C₂³	1	1	yes	characteristic
471	#6381	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	#6381	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3494	—	7	1	no	—
480	C₂×#544	—	7	1	no	—
481	#3243	—	7	1	no	—
482	#3243	—	7	1	no	—
483	#3243	—	7	1	no	—
484	#3243	D₇	1	1	yes	characteristic, complemented
485	#3241	—	7	1	no	—
486	#3241	—	7	1	no	—
487	#3241	—	7	1	no	—
488	#3241	—	7	1	no	—
489	#3238	—	7	1	no	—
490	#3238	—	7	1	no	—
491	#3234	—	7	1	no	—
492	#3234	—	7	1	no	—
493	#3232	—	7	1	no	—
494	#3232	—	7	1	no	—
495	#3226	—	7	1	no	—
496	#3226	—	7	1	no	—
497	#3164	—	7	1	no	—
498	#3164	—	7	1	no	—
499	#3136	—	7	1	no	—
500	#3136	—	7	1	no	—
501	#3094	—	7	1	no	—
502	#3092	—	7	1	no	—
503	#3091	—	7	1	no	—
504	C₂×#480	—	7	1	no	—
505	#3083	—	7	1	no	—
506	#3083	—	7	1	no	—
507	#3081	—	7	1	no	—
508	#3081	—	7	1	no	—
509	#2924	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₇×D₄	—	2	1	no	—
517	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	—	2	1	no	—
519	C₂²×C₄×C₇	—	2	1	no	—
520	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂×C₂²⋊D₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂²×Dic₇	—	2	1	no	—
528	C₂²×Dic₇	—	2	1	no	—
529	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
530	#1161	—	2	2	no	—
531	#1161	—	2	2	no	—
532	#1161	—	8	2	no	—
533	Q₈×D₇	—	8	2	no	—
534	Q₈×D₇	—	8	2	no	—
535	D₄×D₇	—	2	2	no	—
536	D₄×D₇	—	2	2	no	—
537	D₄×D₇	—	8	2	no	—
538	#1157	—	8	2	no	—
539	C₂×D₂₈	—	2	1	no	—
540	C₂×D₂₈	—	2	1	no	—
541	C₂×D₂₈	—	2	1	no	—
542	C₂×D₂₈	—	2	1	no	—
543	C₂×D₂₈	—	2	1	no	—
544	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
545	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₇	—	2	2	no	—
547	C₂×C₄×D₇	—	2	2	no	—
548	C₂×C₄×D₇	—	2	1	no	—
549	C₂×C₄×D₇	—	2	1	no	—
550	C₂×C₄×D₇	—	2	1	no	—
551	C₂×C₄×D₇	—	2	1	no	—
552	C₂×C₄×D₇	—	2	1	no	—
553	C₂×C₄×D₇	—	2	1	no	—
554	C₂×C₄×D₇	—	2	1	no	—
555	C₂×C₄×D₇	—	2	1	no	—
556	C₂×C₄×D₇	—	2	1	no	—
557	C₂×C₄×D₇	—	2	1	no	—
558	C₂×C₄×D₇	—	2	1	no	—
559	C₂×C₄×D₇	—	2	1	no	—
560	C₂×C₄×D₇	—	8	2	no	—
561	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₁₄	—	2	1	no	—
570	C₂×Dic₁₄	—	2	1	no	—
571	C₂×Dic₁₄	—	2	1	no	—
572	C₂×Dic₁₄	—	2	1	no	—
573	C₂×Dic₁₄	—	2	1	no	—
574	C₂×Dic₁₄	—	2	1	no	—
575	C₂×Dic₁₄	—	2	1	no	—
576	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
577	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
580	C₇×C₄⋊C₄	—	2	1	no	—
581	C₇×C₄⋊C₄	—	2	1	no	—
582	C₇×C₄⋊C₄	—	2	1	no	—
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	—	2	1	no	—
586	C₇×C₄⋊C₄	—	2	1	no	—
587	C₇×C₄⋊C₄	—	2	1	no	—
588	C₇×C₄⋊C₄	—	2	1	no	—
589	C₇×C₄⋊C₄	—	2	1	no	—
590	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₇×C₂²⋊C₄	—	2	1	no	—
599	C₇×C₂²⋊C₄	—	2	1	no	—
600	C₇×C₂²⋊C₄	—	2	1	no	—
601	C₇×C₂²⋊C₄	—	2	1	no	—
602	C₇×C₂²⋊C₄	—	2	1	no	—
603	C₇×C₂²⋊C₄	—	2	1	no	—
604	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₄²×C₇	—	2	1	no	—
607	C₄²×C₇	—	2	1	no	—
608	C₄²×C₇	C₂⁴	1	1	yes	characteristic
609	C₄²×C₇	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₇	—	2	1	no	—
611	C₂²⋊Dic₇	—	2	1	no	—
612	C₂²⋊Dic₇	—	2	1	no	—
613	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
615	(C₂×D₇)⋊C₄	—	2	1	no	—
616	(C₂×D₇)⋊C₄	—	2	1	no	—
617	(C₂×D₇)⋊C₄	—	2	1	no	—
618	(C₂×D₇)⋊C₄	—	2	1	no	—
619	(C₂×D₇)⋊C₄	—	2	1	no	—
620	(C₂×D₇)⋊C₄	—	2	1	no	—
621	(C₂×D₇)⋊C₄	—	2	1	no	—
622	(C₂×D₇)⋊C₄	—	2	1	no	—
623	(C₂×D₇)⋊C₄	—	2	1	no	—
624	(C₂×D₇)⋊C₄	—	2	1	no	—
625	(C₂×D₇)⋊C₄	—	2	1	no	—
626	(C₂×D₇)⋊C₄	—	2	1	no	—
627	(C₂×D₇)⋊C₄	—	2	1	no	—
628	(C₂×D₇)⋊C₄	—	2	1	no	—
629	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
630	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
631	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
632	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	—	2	1	no	—
635	C₄⋊Dic₇	—	2	1	no	—
636	C₄⋊Dic₇	—	2	1	no	—
637	C₄⋊Dic₇	—	2	1	no	—
638	C₄⋊Dic₇	—	2	1	no	—
639	C₄⋊Dic₇	—	2	1	no	—
640	C₄⋊Dic₇	—	2	1	no	—
641	C₄⋊Dic₇	—	2	1	no	—
642	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
643	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
645	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
647	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
650	Dic₇⋊C₄	—	2	1	no	—
651	Dic₇⋊C₄	—	2	1	no	—
652	Dic₇⋊C₄	—	2	1	no	—
653	Dic₇⋊C₄	—	2	1	no	—
654	Dic₇⋊C₄	—	2	1	no	—
655	Dic₇⋊C₄	—	2	1	no	—
656	Dic₇⋊C₄	—	2	1	no	—
657	Dic₇⋊C₄	—	2	1	no	—
658	Dic₇⋊C₄	—	2	1	no	—
659	Dic₇⋊C₄	—	2	1	no	—
660	Dic₇⋊C₄	—	2	1	no	—
661	Dic₇⋊C₄	—	2	1	no	—
662	Dic₇⋊C₄	—	2	1	no	—
663	Dic₇⋊C₄	—	2	1	no	—
664	Dic₇⋊C₄	—	2	1	no	—
665	Dic₇⋊C₄	—	2	1	no	—
666	Dic₇⋊C₄	—	2	1	no	—
667	Dic₇⋊C₄	—	2	1	no	—
668	Dic₇⋊C₄	—	2	1	no	—
669	Dic₇⋊C₄	—	2	1	no	—
670	Dic₇⋊C₄	—	2	1	no	—
671	Dic₇⋊C₄	—	2	1	no	—
672	Dic₇⋊C₄	—	2	1	no	—
673	Dic₇⋊C₄	—	2	1	no	—
674	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
675	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
676	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
677	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₇	—	2	1	no	—
679	C₄×Dic₇	—	2	1	no	—
680	C₄×Dic₇	—	2	1	no	—
681	C₄×Dic₇	—	2	1	no	—
682	C₄×Dic₇	—	2	1	no	—
683	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
693	#1131	—	2	2	no	—
694	#1131	—	2	2	no	—
695	C₈×D₇	—	2	2	no	—
696	C₈×D₇	—	2	2	no	—
697	#555	—	14	1	no	—
698	#553	—	14	1	no	—
699	#553	—	14	1	no	—
700	#551	—	14	1	no	—
701	#551	—	14	1	no	—
702	#547	—	14	1	no	—
703	#546	—	14	1	no	—
704	#546	—	14	1	no	—
705	#544	—	7	1	no	—
706	#544	—	7	1	no	—
707	#544	—	7	1	no	—
708	#544	—	7	1	no	—
709	#544	—	7	1	no	—
710	#544	—	7	1	no	—
711	#544	—	7	1	no	—
712	#544	—	7	1	no	—
713	#544	—	14	1	no	—
714	#544	—	14	1	no	—
715	#544	—	14	1	no	—
716	#544	—	14	1	no	—
717	#544	C₂×D₇	1	1	yes	characteristic, complemented
718	#542	—	7	1	no	—
719	#542	C₂×D₇	1	1	yes	characteristic
720	#540	—	7	1	no	—
721	#540	—	7	1	no	—
722	#535	—	7	1	no	—
723	#532	—	7	1	no	—
724	#532	—	7	1	no	—
725	C₂×C₄⋊Q₈	—	7	1	no	—
726	C₂×C₄⋊Q₈	—	7	1	no	—
727	C₂×C₄⋊Q₈	—	14	1	no	—
728	#529	—	7	1	no	—
729	#529	—	7	1	no	—
730	C₂×#125	—	7	1	no	—
731	C₂×#125	—	7	1	no	—
732	C₂×#125	—	14	1	no	—
733	#525	—	7	1	no	—
734	C₂×C₂²⋊Q₈	—	14	1	no	—
735	C₂×C₂²⋊Q₈	—	14	1	no	—
736	C₂×#121	—	7	1	no	—
737	#520	—	7	1	no	—
738	#518	—	7	1	no	—
739	C₂×#117	—	7	1	no	—
740	C₂×#117	—	7	1	no	—
741	C₂²×C₄⋊C₄	—	7	1	no	—
742	#501	—	7	1	no	—
743	#501	—	7	1	no	—
744	#501	—	7	1	no	—
745	#501	—	7	1	no	—
746	#501	—	7	1	no	—
747	#501	—	7	1	no	—
748	#501	—	7	1	no	—
749	#501	C₂×D₇	1	1	yes	characteristic, complemented
750	#500	—	7	1	no	—
751	#500	—	7	1	no	—
752	#500	—	7	1	no	—
753	#500	C₂×D₇	1	1	yes	characteristic, complemented
754	#499	—	7	1	no	—
755	#499	—	7	1	no	—
756	#499	—	7	1	no	—
757	#499	—	7	1	no	—
758	#490	—	7	1	no	—
759	#490	—	7	1	no	—
760	#490	—	7	1	no	—
761	#490	—	7	1	no	—
762	#489	—	7	1	no	—
763	#489	—	7	1	no	—
764	#489	—	7	1	no	—
765	#489	C₂×D₇	1	1	yes	characteristic, complemented
766	#488	—	7	1	no	—
767	#488	—	7	1	no	—
768	#488	—	7	1	no	—
769	#488	C₂×D₇	1	1	yes	characteristic, complemented
770	#486	—	7	1	no	—
771	#486	—	7	1	no	—
772	#486	—	7	1	no	—
773	#486	—	7	1	no	—
774	#485	—	7	1	no	—
775	#485	C₂×D₇	1	1	yes	characteristic, complemented
776	#484	—	7	1	no	—
777	#484	—	7	1	no	—
778	#484	C₂×D₇	1	1	yes	characteristic, complemented
779	#483	—	7	1	no	—
780	#483	—	7	1	no	—
781	#483	—	7	1	no	—
782	#482	—	7	1	no	—
783	#482	—	7	1	no	—
784	#482	—	7	1	no	—
785	#482	—	7	1	no	—
786	#482	—	7	1	no	—
787	#482	C₂×D₇	1	1	yes	characteristic
788	#481	—	7	1	no	—
789	#481	—	7	1	no	—
790	#481	—	7	1	no	—
791	#481	—	7	1	no	—
792	#481	—	7	1	no	—
793	#480	—	7	1	no	—
794	#480	—	7	1	no	—
795	#480	—	7	1	no	—
796	#480	—	7	1	no	—
797	#480	—	7	1	no	—
798	#480	—	7	1	no	—
799	#480	—	7	1	no	—
800	#480	—	7	1	no	—
801	#480	—	7	1	no	—
802	#480	—	7	1	no	—
803	#480	—	7	1	no	—
804	#480	—	7	1	no	—
805	#480	C₂×D₇	1	1	yes	characteristic
806	#479	—	7	1	no	—
807	#479	—	7	1	no	—
808	#479	—	7	1	no	—
809	#479	C₂×D₇	1	1	yes	characteristic, complemented
810	#478	—	7	1	no	—
811	#478	—	7	1	no	—
812	#478	—	7	1	no	—
813	#478	—	7	1	no	—
814	#478	—	7	1	no	—
815	#478	—	7	1	no	—
816	#478	—	7	1	no	—
817	#478	—	7	1	no	—
818	#478	—	7	1	no	—
819	#478	—	7	1	no	—
820	#478	—	7	1	no	—
821	#478	C₂×D₇	1	1	yes	characteristic, complemented
822	#477	—	7	1	no	—
823	#477	—	7	1	no	—
824	#477	—	7	1	no	—
825	#477	C₂×D₇	1	1	yes	characteristic, complemented
826	#476	—	7	1	no	—
827	#476	—	7	1	no	—
828	#476	—	7	1	no	—
829	#476	—	7	1	no	—
830	#474	—	7	1	no	—
831	#474	—	7	1	no	—
832	#474	—	7	1	no	—
833	#474	—	7	1	no	—
834	#474	—	7	1	no	—
835	#474	—	7	1	no	—
836	#474	—	7	1	no	—
837	#474	C₂×D₇	1	1	yes	characteristic, complemented
838	#433	—	7	1	no	—
839	#433	—	7	1	no	—
840	#433	—	7	1	no	—
841	#433	C₂×D₇	1	1	yes	characteristic, complemented
842	#432	—	7	1	no	—
843	#432	—	7	1	no	—
844	#431	—	7	1	no	—
845	#431	—	7	1	no	—
846	#428	—	7	1	no	—
847	#428	—	7	1	no	—
848	#428	—	7	1	no	—
849	#428	—	7	1	no	—
850	#427	—	7	1	no	—
851	#427	—	7	1	no	—
852	C₂×#107	—	7	1	no	—
853	C₂×#107	—	7	1	no	—
854	#424	—	7	1	no	—
855	#424	—	7	1	no	—
856	#418	—	7	1	no	—
857	#418	—	7	1	no	—
858	#417	—	7	1	no	—
859	#417	—	7	1	no	—
860	#416	—	7	1	no	—
861	#416	—	7	1	no	—
862	C₂×#102	—	7	1	no	—
863	C₂×#102	—	7	1	no	—
864	#407	—	7	1	no	—
865	C₂×C₂²⋊C₈	—	7	1	no	—
866	#405	—	7	1	no	—
867	#405	—	7	1	no	—
868	C₂³×C₇	—	2	1	no	—
869	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
870	C₂²×D₇	—	2	2	no	—
871	C₂²×D₇	—	2	2	no	—
872	C₂²×D₇	—	2	1	no	—
873	C₂²×D₇	—	2	1	no	—
874	C₂²×D₇	—	4	1	no	—
875	C₂²×D₇	—	4	2	no	—
876	C₂²×D₇	—	8	1	no	—
877	C₂²×D₇	—	8	1	no	—
878	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
879	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
880	C₇×Q₈	—	2	1	no	—
881	C₇×Q₈	—	2	1	no	—
882	C₇×Q₈	—	8	1	no	—
883	C₇×Q₈	—	8	1	no	—
884	C₇×Q₈	—	8	1	no	—
885	C₇×D₄	—	2	1	no	—
886	C₇×D₄	—	2	1	no	—
887	C₇×D₄	—	8	1	no	—
888	C₂×C₄×C₇	—	2	1	no	—
889	C₂×C₄×C₇	—	2	1	no	—
890	C₂×C₄×C₇	—	2	1	no	—
891	C₂×C₄×C₇	—	2	1	no	—
892	C₂×C₄×C₇	—	2	1	no	—
893	C₂×C₄×C₇	—	2	1	no	—
894	C₂×C₄×C₇	—	2	1	no	—
895	C₂×C₄×C₇	—	2	1	no	—
896	C₂×C₄×C₇	—	2	1	no	—
897	C₂×C₄×C₇	—	8	1	no	—
898	C₂×C₄×C₇	—	8	1	no	—
899	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
905	C₂²⋊D₇	—	4	2	no	—
906	C₂²⋊D₇	—	4	2	no	—
907	C₂²⋊D₇	—	8	1	no	—
908	C₂²⋊D₇	—	8	1	no	—
909	C₂²⋊D₇	—	8	1	no	—
910	C₂²⋊D₇	—	8	1	no	—
911	C₂×Dic₇	—	2	2	no	—
912	C₂×Dic₇	—	2	1	no	—
913	C₂×Dic₇	—	2	1	no	—
914	C₂×Dic₇	—	2	1	no	—
915	C₂×Dic₇	—	2	1	no	—
916	C₂×Dic₇	—	2	1	no	—
917	C₂×Dic₇	—	2	1	no	—
918	C₂×Dic₇	—	8	1	no	—
919	C₂×Dic₇	—	8	1	no	—
920	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
921	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
922	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
924	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
926	D₂₈	—	2	1	no	—
927	D₂₈	—	2	1	no	—
928	D₂₈	—	2	1	no	—
929	D₂₈	—	2	1	no	—
930	D₂₈	—	4	2	no	—
931	D₂₈	—	4	2	no	—
932	D₂₈	—	4	2	no	—
933	D₂₈	—	8	1	no	—
934	D₂₈	—	8	1	no	—
935	C₄×D₇	—	2	2	no	—
936	C₄×D₇	—	2	2	no	—
937	C₄×D₇	—	2	2	no	—
938	C₄×D₇	—	2	1	no	—
939	C₄×D₇	—	2	1	no	—
940	C₄×D₇	—	2	2	no	—
941	C₄×D₇	—	4	1	no	—
942	C₄×D₇	—	4	1	no	—
943	C₄×D₇	—	4	2	no	—
944	C₄×D₇	—	4	2	no	—
945	C₄×D₇	—	4	2	no	—
946	C₄×D₇	—	4	2	no	—
947	C₄×D₇	—	4	2	no	—
948	C₄×D₇	—	8	1	no	—
949	C₄×D₇	—	8	1	no	—
950	C₄×D₇	—	8	1	no	—
951	C₄×D₇	—	8	1	no	—
952	C₄×D₇	—	8	1	no	—
953	C₄×D₇	—	8	1	no	—
954	C₄×D₇	—	8	1	no	—
955	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
956	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
957	Dic₁₄	—	8	1	no	—
958	Dic₁₄	—	8	1	no	—
959	Dic₁₄	—	8	1	no	—
960	Dic₁₄	—	8	1	no	—
961	Dic₁₄	—	8	1	no	—
962	Dic₁₄	—	8	1	no	—
963	Dic₁₄	—	8	1	no	—
964	C₇×C₈	—	2	1	no	—
965	C₇×C₈	—	2	1	no	—
966	C₇×C₈	—	2	1	no	—
967	C₇×C₈	—	2	1	no	—
968	C₇⋊C₈	—	2	1	no	—
969	C₇⋊C₈	—	2	1	no	—
970	C₇⋊C₈	—	2	1	no	—
971	C₇⋊C₈	—	2	1	no	—
972	C₂×#41	—	7	1	no	—
973	C₂×#41	—	14	1	no	—
974	C₂×#41	—	14	1	no	—
975	C₂²×Q₈	—	14	1	no	—
976	C₂²×Q₈	—	14	1	no	—
977	C₂²×D₄	—	7	1	no	—
978	C₂²×D₄	—	14	1	no	—
979	C₂³×C₄	—	7	1	no	—
980	C₂³×C₄	—	14	1	no	—
981	C₂×M₁₆	—	7	1	no	—
982	C₂×M₁₆	—	7	1	no	—
983	C₂²×C₈	—	7	1	no	—
984	C₂²×C₈	—	7	1	no	—
985	C₄⋊Q₈	—	2	1	no	—
986	C₄⋊Q₈	—	7	1	no	—
987	C₄⋊Q₈	—	7	1	no	—
988	C₄⋊Q₈	—	7	1	no	—
989	C₄⋊Q₈	—	7	1	no	—
990	C₄⋊Q₈	—	7	1	no	—
991	C₄⋊Q₈	—	7	1	no	—
992	C₄⋊Q₈	—	7	1	no	—
993	C₄⋊Q₈	—	14	1	no	—
994	C₄⋊Q₈	—	14	1	no	—
995	C₄⋊Q₈	—	14	1	no	—
996	C₄⋊Q₈	—	14	1	no	—
997	C₄⋊Q₈	—	14	1	no	—
998	C₄⋊Q₈	—	14	1	no	—
999	C₄⋊Q₈	—	14	1	no	—
1000	C₄⋊Q₈	—	14	1	no	—
1001	C₄⋊Q₈	—	14	1	no	—
1002	C₄⋊Q₈	—	14	1	no	—
1003	C₄⋊Q₈	—	14	1	no	—
1004	C₄⋊Q₈	—	14	1	no	—
1005	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1006	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1007	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1008	#127	—	7	1	no	—
1009	#127	—	7	1	no	—
1010	#126	—	2	1	no	—
1011	#126	—	14	1	no	—
1012	#126	—	14	1	no	—
1013	#126	—	14	1	no	—
1014	#125	—	2	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	—	14	1	no	—
1024	#125	—	14	1	no	—
1025	#125	—	14	1	no	—
1026	#125	—	14	1	no	—
1027	#125	—	14	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	—	14	1	no	—
1035	#125	C₂²×D₇	1	1	yes	characteristic
1036	#125	C₂²×D₇	1	1	yes	characteristic
1037	#124	—	2	1	no	—
1038	#124	—	7	1	no	—
1039	#124	—	14	1	no	—
1040	#124	—	14	1	no	—
1041	#124	—	14	1	no	—
1042	#124	C₂²×D₇	1	1	yes	characteristic
1043	#123	—	2	1	no	—
1044	#123	—	14	1	no	—
1045	#123	—	14	1	no	—
1046	#123	—	14	1	no	—
1047	#123	—	14	1	no	—
1048	#123	—	14	1	no	—
1049	#123	—	14	1	no	—
1050	#123	—	14	1	no	—
1051	#123	—	14	1	no	—
1052	C₂²⋊Q₈	—	2	1	no	—
1053	C₂²⋊Q₈	—	2	1	no	—
1054	C₂²⋊Q₈	—	2	1	no	—
1055	C₂²⋊Q₈	—	7	1	no	—
1056	C₂²⋊Q₈	—	14	1	no	—
1057	C₂²⋊Q₈	—	14	1	no	—
1058	C₂²⋊Q₈	—	14	1	no	—
1059	C₂²⋊Q₈	—	14	1	no	—
1060	C₂²⋊Q₈	—	14	1	no	—
1061	C₂²⋊Q₈	—	14	1	no	—
1062	C₂²⋊Q₈	—	14	1	no	—
1063	C₂²⋊Q₈	—	14	1	no	—
1064	C₂²⋊Q₈	—	14	1	no	—
1065	C₂²⋊Q₈	—	14	1	no	—
1066	C₂²⋊Q₈	—	14	1	no	—
1067	C₂²⋊Q₈	—	14	1	no	—
1068	C₂²⋊Q₈	—	14	1	no	—
1069	C₂²⋊Q₈	—	14	1	no	—
1070	C₂²⋊Q₈	—	14	1	no	—
1071	C₂²⋊Q₈	—	14	1	no	—
1072	C₂²⋊Q₈	—	14	1	no	—
1073	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1074	#121	—	7	1	no	—
1075	#121	—	7	1	no	—
1076	#121	—	7	1	no	—
1077	#121	—	7	1	no	—
1078	#121	—	7	1	no	—
1079	#121	—	14	1	no	—
1080	#121	—	14	1	no	—
1081	#121	—	14	1	no	—
1082	#121	—	14	1	no	—
1083	#121	—	14	1	no	—
1084	#121	—	14	1	no	—
1085	#121	—	14	1	no	—
1086	#121	—	14	1	no	—
1087	#121	—	14	1	no	—
1088	#121	—	14	1	no	—
1089	#121	C₂²×D₇	1	1	yes	characteristic
1090	#120	—	14	1	no	—
1091	#120	—	14	1	no	—
1092	#120	—	14	1	no	—
1093	C₄×Q₈	—	7	1	no	—
1094	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1095	C₄×D₄	—	7	1	no	—
1096	C₄×D₄	—	7	1	no	—
1097	C₄×D₄	—	7	1	no	—
1098	C₄×D₄	—	7	1	no	—
1099	C₄×D₄	—	7	1	no	—
1100	C₄×D₄	—	14	1	no	—
1101	C₄×D₄	—	14	1	no	—
1102	C₄×D₄	—	14	1	no	—
1103	C₄×D₄	—	14	1	no	—
1104	C₄×D₄	—	14	1	no	—
1105	C₄×D₄	—	14	1	no	—
1106	C₄×D₄	—	14	1	no	—
1107	C₄×D₄	—	14	1	no	—
1108	C₄×D₄	—	14	1	no	—
1109	C₄×D₄	—	14	1	no	—
1110	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1111	#117	—	7	1	no	—
1112	#117	—	7	1	no	—
1113	#117	—	7	1	no	—
1114	#117	—	7	1	no	—
1115	#117	—	7	1	no	—
1116	#117	—	7	1	no	—
1117	#117	—	7	1	no	—
1118	#117	—	7	1	no	—
1119	#117	—	7	1	no	—
1120	#117	—	7	1	no	—
1121	#117	—	7	1	no	—
1122	#117	—	14	1	no	—
1123	#117	—	14	1	no	—
1124	#117	—	14	1	no	—
1125	#117	—	14	1	no	—
1126	#117	—	14	1	no	—
1127	#117	C₂²×D₇	1	1	yes	characteristic
1128	#117	C₂²×D₇	1	1	yes	characteristic
1129	C₂×C₄⋊C₄	—	7	1	no	—
1130	C₂×C₄⋊C₄	—	7	1	no	—
1131	C₂×C₄⋊C₄	—	7	1	no	—
1132	C₂×C₄⋊C₄	—	7	1	no	—
1133	C₂×C₄⋊C₄	—	7	1	no	—
1134	C₂×C₄⋊C₄	—	7	1	no	—
1135	C₂×C₄⋊C₄	—	7	1	no	—
1136	C₂×C₄⋊C₄	—	7	1	no	—
1137	C₂×C₄⋊C₄	—	7	1	no	—
1138	C₂×C₄⋊C₄	—	7	1	no	—
1139	C₂×C₄⋊C₄	—	14	1	no	—
1140	C₂×C₄⋊C₄	—	14	1	no	—
1141	C₂×C₄⋊C₄	—	14	1	no	—
1142	C₂×C₄⋊C₄	—	14	1	no	—
1143	C₂×C₄⋊C₄	—	14	1	no	—
1144	C₂×C₄⋊C₄	—	14	1	no	—
1145	C₂×C₄⋊C₄	—	14	1	no	—
1146	C₂×C₄⋊C₄	—	14	1	no	—
1147	C₂×C₄⋊C₄	—	14	1	no	—
1148	C₂×C₄⋊C₄	—	14	1	no	—
1149	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	—	7	1	no	—
1151	C₂×C₂²⋊C₄	—	7	1	no	—
1152	C₂×C₂²⋊C₄	—	14	1	no	—
1153	C₂×C₂²⋊C₄	—	14	1	no	—
1154	C₂×C₂²⋊C₄	—	14	1	no	—
1155	C₂×C₂²⋊C₄	—	14	1	no	—
1156	C₂×C₄²	—	7	1	no	—
1157	C₂×C₄²	—	7	1	no	—
1158	C₂×C₄²	—	14	1	no	—
1159	#107	—	7	1	no	—
1160	#107	—	7	1	no	—
1161	#107	—	7	1	no	—
1162	#107	—	7	1	no	—
1163	#107	—	7	1	no	—
1164	#107	—	7	1	no	—
1165	#107	—	7	1	no	—
1166	#107	—	7	1	no	—
1167	#107	—	7	1	no	—
1168	#107	—	7	1	no	—
1169	#107	—	7	1	no	—
1170	#107	—	7	1	no	—
1171	#107	—	7	1	no	—
1172	#107	—	7	1	no	—
1173	#107	C₂²×D₇	1	1	yes	characteristic
1174	#107	C₂²×D₇	1	1	yes	characteristic
1175	#107	C₂²×D₇	1	1	yes	characteristic
1176	#107	C₂²×D₇	1	1	yes	characteristic
1177	#107	C₂²×D₇	1	1	yes	characteristic
1178	#107	C₂²×D₇	1	1	yes	characteristic
1179	#106	—	7	1	no	—
1180	#106	—	7	1	no	—
1181	#106	—	7	1	no	—
1182	#106	—	7	1	no	—
1183	#106	—	7	1	no	—
1184	#106	—	7	1	no	—
1185	#106	—	7	1	no	—
1186	#106	—	7	1	no	—
1187	#106	—	7	1	no	—
1188	#106	—	7	1	no	—
1189	#106	C₂²×D₇	1	1	yes	characteristic
1190	#106	C₂²×D₇	1	1	yes	characteristic
1191	C₄⋊C₈	—	7	1	no	—
1192	C₄⋊C₈	—	7	1	no	—
1193	C₄⋊C₈	—	7	1	no	—
1194	C₄⋊C₈	—	7	1	no	—
1195	C₄⋊C₈	—	7	1	no	—
1196	C₄⋊C₈	—	7	1	no	—
1197	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1198	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1199	#103	—	7	1	no	—
1200	#103	—	7	1	no	—
1201	#103	—	7	1	no	—
1202	#103	—	7	1	no	—
1203	#103	C₂²×D₇	1	1	yes	characteristic
1204	#103	C₂²×D₇	1	1	yes	characteristic
1205	#103	C₂²×D₇	1	1	yes	characteristic
1206	#103	C₂²×D₇	1	1	yes	characteristic
1207	#102	—	7	1	no	—
1208	#102	—	7	1	no	—
1209	#102	—	7	1	no	—
1210	#102	—	7	1	no	—
1211	#102	—	7	1	no	—
1212	#102	—	7	1	no	—
1213	#102	—	7	1	no	—
1214	#102	—	7	1	no	—
1215	#102	—	7	1	no	—
1216	#102	—	7	1	no	—
1217	#102	—	7	1	no	—
1218	#102	—	7	1	no	—
1219	#102	—	7	1	no	—
1220	#102	—	7	1	no	—
1221	#102	—	7	1	no	—
1222	#102	—	7	1	no	—
1223	#102	—	7	1	no	—
1224	#102	—	7	1	no	—
1225	#102	—	7	1	no	—
1226	#102	—	7	1	no	—
1227	#102	C₂²×D₇	1	1	yes	characteristic
1228	#102	C₂²×D₇	1	1	yes	characteristic
1229	#102	C₂²×D₇	1	1	yes	characteristic
1230	#102	C₂²×D₇	1	1	yes	characteristic
1231	C₂²⋊C₈	—	7	1	no	—
1232	C₂²⋊C₈	—	7	1	no	—
1233	C₂²⋊C₈	—	7	1	no	—
1234	C₂²⋊C₈	—	7	1	no	—
1235	C₂²⋊C₈	—	7	1	no	—
1236	C₂²⋊C₈	—	7	1	no	—
1237	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1238	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1239	#97	—	7	1	no	—
1240	#97	—	7	1	no	—
1241	#97	—	7	1	no	—
1242	#97	C₂²×D₇	1	1	yes	characteristic
1243	C₄×C₈	—	7	1	no	—
1244	C₄×C₈	—	7	1	no	—
1245	C₄×C₈	—	7	1	no	—
1246	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1247	C₂²×C₇	—	2	1	no	—
1248	C₂²×C₇	—	2	1	no	—
1249	C₂²×C₇	—	2	1	no	—
1250	C₂²×C₇	—	4	1	no	—
1251	C₂²×C₇	—	4	1	no	—
1252	C₂²×C₇	—	4	1	no	—
1253	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1254	C₂×D₇	—	2	1	no	—
1255	C₂×D₇	—	2	1	no	—
1256	C₂×D₇	—	2	1	no	—
1257	C₂×D₇	—	2	1	no	—
1258	C₂×D₇	—	4	4	no	—
1259	C₂×D₇	—	4	1	no	—
1260	C₂×D₇	—	4	1	no	—
1261	C₂×D₇	—	4	1	no	—
1262	C₂×D₇	—	4	1	no	—
1263	C₂×D₇	—	4	1	no	—
1264	C₂×D₇	—	4	1	no	—
1265	C₂×D₇	—	16	2	no	—
1266	C₂×D₇	#536	1	2	yes	—
1267	C₂×D₇	#576	1	2	yes	—
1268	C₄×C₇	—	2	1	no	—
1269	C₄×C₇	—	2	1	no	—
1270	C₄×C₇	—	2	1	no	—
1271	C₄×C₇	—	2	1	no	—
1272	C₄×C₇	—	2	1	no	—
1273	C₄×C₇	—	4	1	no	—
1274	C₄×C₇	—	4	1	no	—
1275	C₄×C₇	—	4	1	no	—
1276	C₄×C₇	—	4	1	no	—
1277	C₄×C₇	—	4	1	no	—
1278	C₄×C₇	—	4	1	no	—
1279	C₄×C₇	—	4	1	no	—
1280	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1281	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1282	Dic₇	—	2	1	no	—
1283	Dic₇	—	2	1	no	—
1284	Dic₇	—	2	1	no	—
1285	Dic₇	—	2	1	no	—
1286	Dic₇	—	2	1	no	—
1287	Dic₇	—	4	1	no	—
1288	Dic₇	—	4	1	no	—
1289	Dic₇	—	4	1	no	—
1290	Dic₇	—	4	1	no	—
1291	Dic₇	—	4	1	no	—
1292	Dic₇	—	4	1	no	—
1293	Dic₇	#536	1	2	yes	—
1294	C₂⁴	—	7	1	no	—
1295	C₂⁴	—	14	1	no	—
1296	#41	—	14	2	no	—
1297	#41	—	14	2	no	—
1298	#41	—	56	2	no	—
1299	#41	—	56	2	no	—
1300	C₂×Q₈	—	2	1	no	—
1301	C₂×Q₈	—	2	1	no	—
1302	C₂×Q₈	—	2	1	no	—
1303	C₂×Q₈	—	14	1	no	—
1304	C₂×Q₈	—	14	1	no	—
1305	C₂×Q₈	—	14	1	no	—
1306	C₂×Q₈	—	14	1	no	—
1307	C₂×Q₈	—	14	1	no	—
1308	C₂×Q₈	—	14	1	no	—
1309	C₂×Q₈	—	14	1	no	—
1310	C₂×Q₈	—	56	2	no	—
1311	C₂×Q₈	—	56	2	no	—
1312	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1313	C₂×D₄	—	2	1	no	—
1314	C₂×D₄	—	7	1	no	—
1315	C₂×D₄	—	7	1	no	—
1316	C₂×D₄	—	14	1	no	—
1317	C₂×D₄	—	14	1	no	—
1318	C₂×D₄	—	14	1	no	—
1319	C₂×D₄	—	14	2	no	—
1320	C₂×D₄	—	14	2	no	—
1321	C₂×D₄	—	14	1	no	—
1322	C₂×D₄	—	14	1	no	—
1323	C₂×D₄	—	14	1	no	—
1324	C₂×D₄	—	14	1	no	—
1325	C₂×D₄	—	14	1	no	—
1326	C₂×D₄	—	14	1	no	—
1327	C₂×D₄	—	14	1	no	—
1328	C₂×D₄	—	14	1	no	—
1329	C₂×D₄	—	56	2	no	—
1330	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	7	1	no	—
1334	C₂²×C₄	—	7	1	no	—
1335	C₂²×C₄	—	7	1	no	—
1336	C₂²×C₄	—	7	1	no	—
1337	C₂²×C₄	—	7	1	no	—
1338	C₂²×C₄	—	7	1	no	—
1339	C₂²×C₄	—	7	1	no	—
1340	C₂²×C₄	—	7	1	no	—
1341	C₂²×C₄	—	7	1	no	—
1342	C₂²×C₄	—	14	2	no	—
1343	C₂²×C₄	—	14	2	no	—
1344	C₂²×C₄	—	14	1	no	—
1345	C₂²×C₄	—	14	1	no	—
1346	C₂²×C₄	—	14	1	no	—
1347	C₂²×C₄	—	14	1	no	—
1348	C₂²×C₄	—	14	1	no	—
1349	C₂²×C₄	—	14	1	no	—
1350	C₂²×C₄	—	14	1	no	—
1351	C₂²×C₄	—	14	1	no	—
1352	C₂²×C₄	—	14	1	no	—
1353	C₂²×C₄	—	14	1	no	—
1354	C₂²×C₄	—	14	1	no	—
1355	C₂²×C₄	—	14	1	no	—
1356	C₂²×C₄	—	14	1	no	—
1357	C₂²×C₄	—	14	1	no	—
1358	C₂²×C₄	—	56	2	no	—
1359	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1360	M₁₆	—	14	2	no	—
1361	M₁₆	—	14	2	no	—
1362	C₂×C₈	—	7	1	no	—
1363	C₂×C₈	—	7	1	no	—
1364	C₂×C₈	—	7	1	no	—
1365	C₂×C₈	—	7	1	no	—
1366	C₂×C₈	—	14	2	no	—
1367	C₂×C₈	—	14	2	no	—
1368	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1369	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1370	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1371	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	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	—	7	1	no	—
1393	C₄⋊C₄	—	7	1	no	—
1394	C₄⋊C₄	—	14	1	no	—
1395	C₄⋊C₄	—	14	1	no	—
1396	C₄⋊C₄	—	14	1	no	—
1397	C₄⋊C₄	—	14	1	no	—
1398	C₄⋊C₄	—	14	1	no	—
1399	C₄⋊C₄	—	14	1	no	—
1400	C₄⋊C₄	—	14	1	no	—
1401	C₄⋊C₄	—	14	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	—	14	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	—	14	1	no	—
1408	C₄⋊C₄	—	14	1	no	—
1409	C₄⋊C₄	—	14	1	no	—
1410	C₄⋊C₄	—	14	1	no	—
1411	C₄⋊C₄	—	14	1	no	—
1412	C₄⋊C₄	—	14	1	no	—
1413	C₄⋊C₄	—	14	1	no	—
1414	C₄⋊C₄	—	14	1	no	—
1415	C₄⋊C₄	—	14	1	no	—
1416	C₄⋊C₄	—	14	1	no	—
1417	C₄⋊C₄	—	14	1	no	—
1418	C₄⋊C₄	—	14	1	no	—
1419	C₄⋊C₄	—	14	1	no	—
1420	C₄⋊C₄	—	14	1	no	—
1421	C₄⋊C₄	—	14	1	no	—
1422	C₄⋊C₄	—	14	1	no	—
1423	C₄⋊C₄	—	14	1	no	—
1424	C₄⋊C₄	—	14	1	no	—
1425	C₄⋊C₄	—	14	1	no	—
1426	C₄⋊C₄	—	14	1	no	—
1427	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1428	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1434	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	7	1	no	—
1442	C₂²⋊C₄	—	7	1	no	—
1443	C₂²⋊C₄	—	7	1	no	—
1444	C₂²⋊C₄	—	7	1	no	—
1445	C₂²⋊C₄	—	7	1	no	—
1446	C₂²⋊C₄	—	7	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	C₂²⋊C₄	—	14	1	no	—
1449	C₂²⋊C₄	—	14	1	no	—
1450	C₂²⋊C₄	—	14	1	no	—
1451	C₂²⋊C₄	—	14	1	no	—
1452	C₂²⋊C₄	—	14	1	no	—
1453	C₂²⋊C₄	—	14	1	no	—
1454	C₂²⋊C₄	—	14	1	no	—
1455	C₂²⋊C₄	—	14	1	no	—
1456	C₂²⋊C₄	—	14	1	no	—
1457	C₂²⋊C₄	—	14	1	no	—
1458	C₂²⋊C₄	—	14	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	—	14	1	no	—
1461	C₂²⋊C₄	—	14	1	no	—
1462	C₂²⋊C₄	—	14	1	no	—
1463	C₂²⋊C₄	—	14	1	no	—
1464	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1465	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1466	C₄²	—	2	1	no	—
1467	C₄²	—	2	1	no	—
1468	C₄²	—	7	1	no	—
1469	C₄²	—	7	1	no	—
1470	C₄²	—	7	1	no	—
1471	C₄²	—	7	1	no	—
1472	C₄²	—	7	1	no	—
1473	C₄²	—	7	1	no	—
1474	C₄²	—	14	1	no	—
1475	C₄²	—	14	1	no	—
1476	C₄²	—	14	1	no	—
1477	C₄²	—	14	1	no	—
1478	C₄²	—	14	1	no	—
1479	C₄²	C₂³×D₇	1	1	yes	characteristic
1480	C₄²	C₂³×D₇	1	1	yes	characteristic
1481	C₂×C₇	—	4	1	no	—
1482	C₂×C₇	—	8	1	no	—
1483	C₂×C₇	C₂×#536	1	1	yes	characteristic
1484	C₂×C₇	C₂×#576	1	1	yes	characteristic
1485	C₂×C₇	#3586	1	1	yes	characteristic
1486	D₇	—	2	2	no	—
1487	D₇	—	2	2	no	—
1488	D₇	—	8	1	no	—
1489	D₇	—	8	1	no	—
1490	C₂³	—	2	1	no	—
1491	C₂³	—	7	1	no	—
1492	C₂³	—	7	1	no	—
1493	C₂³	—	14	2	no	—
1494	C₂³	—	14	2	no	—
1495	C₂³	—	14	1	no	—
1496	C₂³	—	14	1	no	—
1497	C₂³	—	28	1	no	—
1498	C₂³	—	28	2	no	—
1499	C₂³	—	56	1	no	—
1500	C₂³	—	56	1	no	—
1501	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1502	Q₈	—	2	1	no	—
1503	Q₈	—	2	1	no	—
1504	Q₈	—	8	1	no	—
1505	Q₈	—	8	1	no	—
1506	Q₈	—	8	1	no	—
1507	Q₈	—	56	1	no	—
1508	Q₈	—	56	1	no	—
1509	Q₈	—	56	1	no	—
1510	Q₈	—	56	1	no	—
1511	Q₈	—	56	1	no	—
1512	Q₈	—	56	1	no	—
1513	Q₈	—	56	1	no	—
1514	D₄	—	2	1	no	—
1515	D₄	—	2	1	no	—
1516	D₄	—	8	1	no	—
1517	D₄	—	14	1	no	—
1518	D₄	—	14	1	no	—
1519	D₄	—	14	1	no	—
1520	D₄	—	14	1	no	—
1521	D₄	—	28	2	no	—
1522	D₄	—	28	2	no	—
1523	D₄	—	28	2	no	—
1524	D₄	—	28	2	no	—
1525	D₄	—	28	2	no	—
1526	D₄	—	56	1	no	—
1527	D₄	—	56	1	no	—
1528	D₄	—	56	1	no	—
1529	D₄	—	56	1	no	—
1530	D₄	—	56	1	no	—
1531	D₄	—	56	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	7	1	no	—
1542	C₂×C₄	—	7	2	no	—
1543	C₂×C₄	—	7	2	no	—
1544	C₂×C₄	—	7	1	no	—
1545	C₂×C₄	—	7	1	no	—
1546	C₂×C₄	—	7	1	no	—
1547	C₂×C₄	—	7	1	no	—
1548	C₂×C₄	—	7	1	no	—
1549	C₂×C₄	—	8	1	no	—
1550	C₂×C₄	—	8	1	no	—
1551	C₂×C₄	—	14	2	no	—
1552	C₂×C₄	—	14	2	no	—
1553	C₂×C₄	—	14	2	no	—
1554	C₂×C₄	—	14	2	no	—
1555	C₂×C₄	—	14	2	no	—
1556	C₂×C₄	—	14	1	no	—
1557	C₂×C₄	—	14	1	no	—
1558	C₂×C₄	—	14	1	no	—
1559	C₂×C₄	—	14	1	no	—
1560	C₂×C₄	—	14	1	no	—
1561	C₂×C₄	—	14	1	no	—
1562	C₂×C₄	—	14	1	no	—
1563	C₂×C₄	—	14	1	no	—
1564	C₂×C₄	—	28	1	no	—
1565	C₂×C₄	—	28	1	no	—
1566	C₂×C₄	—	28	2	no	—
1567	C₂×C₄	—	28	2	no	—
1568	C₂×C₄	—	28	2	no	—
1569	C₂×C₄	—	28	2	no	—
1570	C₂×C₄	—	28	2	no	—
1571	C₂×C₄	—	56	1	no	—
1572	C₂×C₄	—	56	1	no	—
1573	C₂×C₄	—	56	1	no	—
1574	C₂×C₄	—	56	1	no	—
1575	C₂×C₄	—	56	1	no	—
1576	C₂×C₄	—	56	1	no	—
1577	C₂×C₄	—	56	1	no	—
1578	C₂×C₄	—	56	1	no	—
1579	C₂×C₄	—	56	1	no	—
1580	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1581	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1582	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1583	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1584	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1585	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	14	1	no	—
1591	C₈	—	14	1	no	—
1592	C₈	—	14	1	no	—
1593	C₈	—	14	1	no	—
1594	C₇	#60871	1	1	yes	characteristic, complemented, Sylow
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	7	2	no	—
1602	C₂²	—	7	2	no	—
1603	C₂²	—	14	1	no	—
1604	C₂²	—	14	1	no	—
1605	C₂²	—	14	1	no	—
1606	C₂²	—	14	1	no	—
1607	C₂²	—	28	4	no	—
1608	C₂²	—	28	1	no	—
1609	C₂²	—	28	1	no	—
1610	C₂²	—	28	1	no	—
1611	C₂²	—	28	1	no	—
1612	C₂²	—	28	1	no	—
1613	C₂²	—	28	1	no	—
1614	C₂²	—	112	2	no	—
1615	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	7	2	no	—
1629	C₄	—	14	1	no	—
1630	C₄	—	14	1	no	—
1631	C₄	—	14	1	no	—
1632	C₄	—	14	1	no	—
1633	C₄	—	14	1	no	—
1634	C₄	—	28	1	no	—
1635	C₄	—	28	1	no	—
1636	C₄	—	28	1	no	—
1637	C₄	—	28	1	no	—
1638	C₄	—	28	1	no	—
1639	C₄	—	28	1	no	—
1640	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1641	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1642	C₂	—	4	1	no	—
1643	C₂	—	8	1	no	—
1644	C₂	—	14	2	no	—
1645	C₂	—	14	2	no	—
1646	C₂	—	56	1	no	—
1647	C₂	—	56	1	no	—
1648	C₂	D₇×#536	1	1	yes	characteristic
1649	C₂	D₇×#576	1	1	yes	characteristic
1650	C₂	#11744279	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3243	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743618	C₂
hypercenter	#3243	D₇
hypocenter	C₇	#60871
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3243

Complements

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

N	H ≅ G/N	type
1. D₇×#544	C₂	semidirect
3. C₇×#3243	C₂	semidirect
4. #11740922	C₂	semidirect
5. #11740899	C₂	semidirect
6. #11739423	C₂	semidirect
7. #11739420	C₂	semidirect
8. #11739386	C₂	semidirect
9. #11739384	C₂	semidirect
10. #11739135	C₂	semidirect
11. #11739125	C₂	semidirect
12. #11739093	C₂	semidirect
13. #11739083	C₂	semidirect
14. #11738960	C₂	semidirect
15. #11738951	C₂	semidirect
16. #11738913	C₂	semidirect
17. #11738906	C₂	semidirect
18. #11738818	C₂	semidirect
19. #11738805	C₂	semidirect
20. D₇×#480	C₂	semidirect
21. #11738723	C₂	semidirect
22. #11738682	C₂	semidirect
23. #11738679	C₂	semidirect
24. #11738619	C₂	semidirect
25. #11738613	C₂	semidirect
26. #11738560	C₂	semidirect
27. #11738556	C₂	semidirect
28. #11738414	C₂	semidirect
29. #11738412	C₂	semidirect
30. #11736819	C₂	semidirect
31. #11736807	C₂	semidirect
32. C₇×#544	C₂²	semidirect
40. D₇×C₄⋊Q₈	C₂²	semidirect
41. D₇×C₄⋊Q₈	C₂²	semidirect
48. D₇×#125	C₂²	semidirect
49. D₇×#125	C₂²	semidirect
73. #90210	C₂²	semidirect
74. #90210	C₂²	semidirect
76. #90191	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#500	C₂²	semidirect
79. C₇×#489	C₂²	semidirect
80. C₇×#488	C₂²	semidirect
81. C₇×#485	C₂²	semidirect
82. C₇×#484	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#477	C₂²	semidirect
88. C₇×#474	C₂²	semidirect
89. C₇×#433	C₂²	semidirect
90. #89860	C₂²	semidirect
91. #89859	C₂²	semidirect
92. #89856	C₂²	semidirect
93. #89852	C₂²	semidirect
94. #89852	C₂²	semidirect
95. #89850	C₂²	semidirect
96. #89839	C₂²	semidirect
97. #89838	C₂²	semidirect
98. #89838	C₂²	semidirect
99. #89836	C₂²	semidirect
100. #89828	C₂²	semidirect
101. #89827	C₂²	semidirect
102. #89817	C₂²	semidirect
103. #89816	C₂²	semidirect
106. #89794	C₂²	semidirect
107. #89793	C₂²	semidirect
108. #89781	C₂²	semidirect
109. #89779	C₂²	semidirect
111. #89775	C₂²	semidirect
112. #89772	C₂²	semidirect
113. #89740	C₂²	semidirect
115. #89663	C₂²	semidirect
116. #89663	C₂²	semidirect
117. #89662	C₂²	semidirect
118. #89662	C₂²	semidirect
119. #89662	C₂²	semidirect
120. #89662	C₂²	semidirect
124. #89654	C₂²	semidirect
125. #89654	C₂²	semidirect
126. #89654	C₂²	semidirect
133. #89650	C₂²	semidirect
134. #89648	C₂²	semidirect
135. #89648	C₂²	semidirect
136. #89648	C₂²	semidirect
137. #89646	C₂²	semidirect
138. #89646	C₂²	semidirect
139. #89643	C₂²	semidirect
140. #89643	C₂²	semidirect
142. #89635	C₂²	semidirect
145. #89630	C₂²	semidirect
146. #89628	C₂²	semidirect
147. #89619	C₂²	semidirect
148. #89619	C₂²	semidirect
149. #89618	C₂²	semidirect
150. #89614	C₂²	semidirect
153. #89607	C₂²	semidirect
154. #89605	C₂²	semidirect
155. #89581	C₂²	semidirect
156. #89577	C₂²	semidirect
157. #89577	C₂²	semidirect
158. #89577	C₂²	semidirect
163. #89572	C₂²	semidirect
164. #89572	C₂²	semidirect
165. #89571	C₂²	semidirect
166. #89568	C₂²	semidirect
167. #89567	C₂²	semidirect
168. #89567	C₂²	semidirect
169. #89566	C₂²	semidirect
170. #89566	C₂²	semidirect
179. #89538	C₂²	semidirect
180. #89536	C₂²	semidirect
181. #89536	C₂²	semidirect
182. #89535	C₂²	semidirect
183. #89533	C₂²	semidirect
184. #89533	C₂²	semidirect
185. #89532	C₂²	semidirect
186. #89532	C₂²	semidirect
188. #89509	C₂²	semidirect
190. #89507	C₂²	semidirect
193. #89492	C₂²	semidirect
194. #89492	C₂²	semidirect
195. #89485	C₂²	semidirect
197. #89477	C₂²	semidirect
198. #89474	C₂²	semidirect
199. #89466	C₂²	semidirect
201. #89457	C₂²	semidirect
202. #89455	C₂²	semidirect
484. #3243	D₇	semidirect
717. #544	C₂×D₇	semidirect
749. #501	C₂×D₇	semidirect
753. #500	C₂×D₇	semidirect
765. #489	C₂×D₇	semidirect
769. #488	C₂×D₇	semidirect
775. #485	C₂×D₇	semidirect
778. #484	C₂×D₇	semidirect
809. #479	C₂×D₇	semidirect
821. #478	C₂×D₇	semidirect
825. #477	C₂×D₇	semidirect
837. #474	C₂×D₇	semidirect
841. #433	C₂×D₇	semidirect
1594. C₇	#60871	semidirect

Maximal subgroups

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

subgroup	index
D₇×#544	2
#11743618	2
C₇×#3243	2
#11740922	2
#11740899	2
#11739423	2
#11739420	2
#11739386	2
#11739384	2
#11739135	2
#11739125	2
#11739093	2
#11739083	2
#11738960	2
#11738951	2
#11738913	2
#11738906	2
#11738818	2
#11738805	2
D₇×#480	2
#11738723	2
#11738682	2
#11738679	2
#11738619	2
#11738613	2
#11738560	2
#11738556	2
#11738414	2
#11738412	2
#11736819	2
#11736807	2
#60871	7