Subgroups — #14226150

Order 1792.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743649	C₂	1	1	yes	maximal, characteristic, complemented
2	D₇×#540	C₂	1	1	yes	maximal, characteristic
3	C₇×#3241	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740922	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740875	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739431	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739422	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739367	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739364	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739168	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739160	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739020	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739009	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738818	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738818	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738806	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738805	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738771	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738761	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738728	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738723	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738622	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738621	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738611	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738611	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738513	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738505	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738418	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738410	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736816	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×#540	C₂²	1	1	yes	characteristic
34	#90420	—	2	1	no	—
35	#90420	C₂²	1	1	yes	characteristic, complemented
36	#90420	C₂²	1	1	yes	characteristic, complemented
37	#90419	—	2	1	no	—
38	#90419	C₂²	1	1	yes	characteristic
39	#90419	C₂²	1	1	yes	characteristic
40	#90410	C₂²	1	1	yes	characteristic
41	D₇×#127	C₂²	1	1	yes	characteristic
42	#90389	C₂²	1	1	yes	characteristic
43	#90380	—	2	1	no	—
44	#90380	C₂²	1	1	yes	characteristic, complemented
45	#90380	C₂²	1	1	yes	characteristic, complemented
46	#90379	—	2	1	no	—
47	#90379	C₂²	1	1	yes	characteristic
48	#90379	C₂²	1	1	yes	characteristic
49	D₇×#125	C₂²	1	1	yes	characteristic
50	#90354	—	2	1	no	—
51	#90354	—	2	1	no	—
52	D₇×#123	—	2	1	no	—
53	D₇×#123	—	2	1	no	—
54	#90325	—	2	1	no	—
55	#90325	—	2	1	no	—
56	#90313	—	2	1	no	—
57	#90313	—	2	1	no	—
58	#90310	C₂²	1	1	yes	characteristic
59	#90310	C₂²	1	1	yes	characteristic
60	#90306	—	2	1	no	—
61	#90306	—	2	1	no	—
62	D₇×#121	—	2	1	no	—
63	D₇×#121	—	2	1	no	—
64	D₇×#121	C₂²	1	1	yes	characteristic
65	D₇×#121	C₂²	1	1	yes	characteristic
66	#90253	C₂²	1	1	yes	characteristic
67	#90253	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₇	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×#6455	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic, complemented
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#499	C₂²	1	1	yes	characteristic, complemented
79	C₇×#490	C₂²	1	1	yes	characteristic, complemented
80	C₇×#486	C₂²	1	1	yes	characteristic, complemented
81	C₇×#482	C₂²	1	1	yes	characteristic, complemented
82	C₇×#482	C₂²	1	1	yes	characteristic, complemented
83	C₇×#481	C₂²	1	1	yes	characteristic, complemented
84	C₇×#480	C₂²	1	1	yes	characteristic, complemented
85	C₇×#478	C₂²	1	1	yes	characteristic, complemented
86	C₇×#478	C₂²	1	1	yes	characteristic, complemented
87	C₇×#476	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	#89843	C₂²	1	1	yes	characteristic, complemented
95	#89842	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	#89837	C₂²	1	1	yes	characteristic, complemented
100	#89836	C₂²	1	1	yes	characteristic, complemented
101	#89836	C₂²	1	1	yes	characteristic, complemented
102	#89807	C₂²	1	1	yes	characteristic, complemented
103	#89807	C₂²	1	1	yes	characteristic, complemented
104	#89806	C₂²	1	1	yes	characteristic, complemented
105	#89805	C₂²	1	1	yes	characteristic, complemented
106	#89781	C₂²	1	1	yes	characteristic, complemented
107	#89781	C₂²	1	1	yes	characteristic, complemented
108	#89780	C₂²	1	1	yes	characteristic, complemented
109	#89779	C₂²	1	1	yes	characteristic, complemented
110	#89775	C₂²	1	1	yes	characteristic, complemented
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, complemented
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	#89657	C₂²	1	1	yes	characteristic, complemented
120	#89657	C₂²	1	1	yes	characteristic, complemented
121	#89654	C₂²	1	1	yes	characteristic, complemented
122	#89654	C₂²	1	1	yes	characteristic, complemented
123	#89653	C₂²	1	1	yes	characteristic
124	#89653	C₂²	1	1	yes	characteristic
125	#89653	C₂²	1	1	yes	characteristic
126	#89653	C₂²	1	1	yes	characteristic
127	#89650	C₂²	1	1	yes	characteristic, complemented
128	#89650	C₂²	1	1	yes	characteristic, complemented
129	#89648	C₂²	1	1	yes	characteristic, complemented
130	#89648	C₂²	1	1	yes	characteristic, complemented
131	#89643	C₂²	1	1	yes	characteristic, complemented
132	#89643	C₂²	1	1	yes	characteristic, complemented
133	#89642	C₂²	1	1	yes	characteristic, complemented
134	#89642	C₂²	1	1	yes	characteristic, complemented
135	#89638	C₂²	1	1	yes	characteristic, complemented
136	#89638	C₂²	1	1	yes	characteristic, complemented
137	#89635	C₂²	1	1	yes	characteristic, complemented
138	#89635	C₂²	1	1	yes	characteristic, complemented
139	#89633	C₂²	1	1	yes	characteristic
140	#89633	C₂²	1	1	yes	characteristic
141	#89633	C₂²	1	1	yes	characteristic
142	#89633	C₂²	1	1	yes	characteristic
143	#89630	C₂²	1	1	yes	characteristic, complemented
144	#89630	C₂²	1	1	yes	characteristic, complemented
145	#89628	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	#89612	C₂²	1	1	yes	characteristic, complemented
152	#89612	C₂²	1	1	yes	characteristic, complemented
153	#89609	C₂²	1	1	yes	characteristic
154	#89609	C₂²	1	1	yes	characteristic
155	#89556	C₂²	1	1	yes	characteristic, complemented
156	#89556	C₂²	1	1	yes	characteristic, complemented
157	#89551	C₂²	1	1	yes	characteristic, complemented
158	#89551	C₂²	1	1	yes	characteristic, complemented
159	#89549	C₂²	1	1	yes	characteristic, complemented
160	#89549	C₂²	1	1	yes	characteristic, complemented
161	#89546	C₂²	1	1	yes	characteristic, complemented
162	#89546	C₂²	1	1	yes	characteristic, complemented
163	#89542	C₂²	1	1	yes	characteristic
164	#89542	C₂²	1	1	yes	characteristic
165	#89542	C₂²	1	1	yes	characteristic
166	#89542	C₂²	1	1	yes	characteristic
167	#89542	C₂²	1	1	yes	characteristic
168	#89542	C₂²	1	1	yes	characteristic
169	#89542	C₂²	1	1	yes	characteristic
170	#89542	C₂²	1	1	yes	characteristic
171	#89538	C₂²	1	1	yes	characteristic, complemented
172	#89538	C₂²	1	1	yes	characteristic, complemented
173	#89536	C₂²	1	1	yes	characteristic, complemented
174	#89536	C₂²	1	1	yes	characteristic, complemented
175	#89536	C₂²	1	1	yes	characteristic, complemented
176	#89536	C₂²	1	1	yes	characteristic, complemented
177	#89535	C₂²	1	1	yes	characteristic, complemented
178	#89535	C₂²	1	1	yes	characteristic, complemented
179	#89533	C₂²	1	1	yes	characteristic, complemented
180	#89533	C₂²	1	1	yes	characteristic, complemented
181	#89532	C₂²	1	1	yes	characteristic, complemented
182	#89532	C₂²	1	1	yes	characteristic, complemented
183	#89532	C₂²	1	1	yes	characteristic, complemented
184	#89532	C₂²	1	1	yes	characteristic, complemented
185	#89531	C₂²	1	1	yes	characteristic, complemented
186	#89531	C₂²	1	1	yes	characteristic, complemented
187	#89509	C₂²	1	1	yes	characteristic, complemented
188	#89509	C₂²	1	1	yes	characteristic, complemented
189	#89508	C₂²	1	1	yes	characteristic, complemented
190	#89507	C₂²	1	1	yes	characteristic, complemented
191	#89498	C₂²	1	1	yes	characteristic
192	#89498	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	#89481	C₂²	1	1	yes	characteristic, complemented
197	#89479	C₂²	1	1	yes	characteristic
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	#89466	C₂²	1	1	yes	characteristic, complemented
200	#89462	C₂²	1	1	yes	characteristic, complemented
201	C₄×#1131	C₂²	1	1	yes	characteristic
202	#89455	C₂²	1	1	yes	characteristic, complemented
203	#60868	—	7	1	no	maximal, Sylow
204	C₂×D₄×D₇	—	2	1	no	—
205	C₂×D₄×D₇	—	2	1	no	—
206	C₂×D₄×D₇	—	2	1	no	—
207	C₂×D₄×D₇	—	2	1	no	—
208	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₇	—	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×#127	C₂³	1	1	yes	characteristic
217	C₇×#125	—	2	1	no	—
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×#125	C₂³	1	1	yes	characteristic
220	C₇×#125	C₂³	1	1	yes	characteristic
221	C₇×#123	—	2	1	no	—
222	C₇×#123	—	2	1	no	—
223	C₇×C₂²⋊Q₈	—	2	1	no	—
224	C₇×C₂²⋊Q₈	—	2	1	no	—
225	C₇×#121	—	2	1	no	—
226	C₇×#121	—	2	1	no	—
227	C₇×#121	C₂³	1	1	yes	characteristic
228	C₇×#121	C₂³	1	1	yes	characteristic
229	C₄×C₇×D₄	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	#6509	—	2	1	no	—
235	#6509	—	2	1	no	—
236	#6509	—	2	1	no	—
237	#6509	—	2	1	no	—
238	Q₈×Dic₇	—	2	1	no	—
239	Q₈×Dic₇	—	2	1	no	—
240	#6507	—	2	1	no	—
241	#6507	—	2	1	no	—
242	#6503	—	2	1	no	—
243	#6503	—	2	1	no	—
244	#6503	C₂³	1	1	yes	characteristic
245	#6503	C₂³	1	1	yes	characteristic
246	#6502	—	2	1	no	—
247	#6502	—	2	1	no	—
248	#6502	—	2	1	no	—
249	#6502	—	2	1	no	—
250	#6502	—	2	1	no	—
251	#6502	—	2	1	no	—
252	#6501	—	2	1	no	—
253	#6501	—	2	1	no	—
254	#6501	C₂³	1	1	yes	characteristic
255	#6501	C₂³	1	1	yes	characteristic
256	#6498	—	2	1	no	—
257	#6498	—	2	1	no	—
258	D₄×Dic₇	C₂³	1	1	yes	characteristic
259	D₄×Dic₇	C₂³	1	1	yes	characteristic
260	#6493	—	2	1	no	—
261	#6493	—	2	1	no	—
262	#6493	C₂³	1	1	yes	characteristic
263	#6493	C₂³	1	1	yes	characteristic
264	#6492	—	2	1	no	—
265	#6492	—	2	1	no	—
266	C₄×C₂²⋊D₇	—	2	1	no	—
267	C₄×C₂²⋊D₇	—	2	1	no	—
268	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
269	#6489	C₂³	1	1	yes	characteristic
270	#6489	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
272	#6487	—	2	1	no	—
273	#6487	—	2	1	no	—
274	C₂×C₄×Dic₇	—	2	1	no	—
275	C₂×#1131	C₂³	1	1	yes	characteristic
276	C₂×#1131	C₂³	1	1	yes	characteristic
277	C₂×#1131	C₂³	1	1	yes	characteristic
278	C₂×#1131	C₂³	1	1	yes	characteristic
279	#6460	—	2	1	no	—
280	#6460	—	2	1	no	—
281	#6460	—	2	1	no	—
282	#6460	—	2	1	no	—
283	#6459	—	2	1	no	—
284	#6459	—	2	1	no	—
285	#6459	—	2	1	no	—
286	#6459	—	2	1	no	—
287	#6459	—	2	1	no	—
288	#6459	—	2	1	no	—
289	#6459	—	2	1	no	—
290	#6459	—	2	1	no	—
291	#6458	—	2	1	no	—
292	#6458	—	2	1	no	—
293	#6458	C₂³	1	1	yes	characteristic
294	#6458	C₂³	1	1	yes	characteristic
295	#6457	—	2	1	no	—
296	#6457	—	2	1	no	—
297	#6457	—	2	1	no	—
298	#6457	—	2	1	no	—
299	#6456	C₂³	1	1	yes	characteristic
300	#6456	C₂³	1	1	yes	characteristic
301	#6455	—	2	1	no	—
302	#6455	—	2	1	no	—
303	#6455	D₄	1	1	yes	characteristic
304	#6455	D₄	1	1	yes	characteristic
305	#6455	C₂³	1	1	yes	characteristic
306	#6455	C₂³	1	1	yes	characteristic
307	#6455	C₂³	1	1	yes	characteristic
308	#6455	C₂³	1	1	yes	characteristic
309	#6455	C₂³	1	1	yes	characteristic
310	#6455	C₂³	1	1	yes	characteristic
311	D₇×C₄⋊C₄	—	2	1	no	—
312	D₇×C₄⋊C₄	—	2	1	no	—
313	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
314	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
315	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	#6453	—	2	1	no	—
320	#6453	—	2	1	no	—
321	#6453	C₂³	1	1	yes	characteristic
322	#6453	C₂³	1	1	yes	characteristic
323	#6453	C₂³	1	1	yes	characteristic
324	#6453	C₂³	1	1	yes	characteristic
325	#6453	C₂³	1	1	yes	characteristic
326	#6453	C₂³	1	1	yes	characteristic
327	#6452	—	2	1	no	—
328	#6452	—	2	1	no	—
329	#6452	—	2	1	no	—
330	#6452	—	2	1	no	—
331	#6452	—	2	1	no	—
332	#6452	—	2	1	no	—
333	#6451	—	2	1	no	—
334	#6451	—	2	1	no	—
335	#6451	—	2	1	no	—
336	#6451	—	2	1	no	—
337	#6451	C₂³	1	1	yes	characteristic
338	#6451	C₂³	1	1	yes	characteristic
339	#6451	C₂³	1	1	yes	characteristic
340	#6451	C₂³	1	1	yes	characteristic
341	#6450	—	2	1	no	—
342	#6450	—	2	1	no	—
343	#6450	—	2	1	no	—
344	#6450	—	2	1	no	—
345	#6450	—	2	1	no	—
346	#6450	—	2	1	no	—
347	#6449	—	2	1	no	—
348	#6449	—	2	1	no	—
349	#6447	—	2	1	no	—
350	#6447	—	2	1	no	—
351	#6447	—	2	1	no	—
352	#6447	—	2	1	no	—
353	#6447	—	2	1	no	—
354	#6447	—	2	1	no	—
355	#6446	—	2	1	no	—
356	#6446	—	2	1	no	—
357	#6446	—	2	1	no	—
358	#6446	—	2	1	no	—
359	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
360	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
361	D₇×C₂²⋊C₄	—	2	1	no	—
362	D₇×C₂²⋊C₄	—	2	1	no	—
363	D₇×C₂²⋊C₄	—	2	1	no	—
364	D₇×C₂²⋊C₄	—	2	1	no	—
365	D₇×C₂²⋊C₄	—	2	1	no	—
366	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
367	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
368	#6441	—	2	1	no	—
369	#6441	—	2	1	no	—
370	#6441	—	2	1	no	—
371	#6441	—	2	1	no	—
372	#6440	—	2	1	no	—
373	#6440	D₄	1	1	yes	characteristic
374	#6440	D₄	1	1	yes	characteristic
375	#6437	C₂³	1	1	yes	characteristic
376	C₄×D₂₈	C₂³	1	1	yes	characteristic
377	C₄×D₂₈	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
396	C₇×#106	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×#102	C₂³	1	1	yes	characteristic
402	C₇×#102	C₂³	1	1	yes	characteristic
403	C₇×#102	C₂³	1	1	yes	characteristic
404	C₇×#102	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	#6406	C₂³	1	1	yes	characteristic
414	#6406	C₂³	1	1	yes	characteristic
415	#6406	C₂³	1	1	yes	characteristic
416	#6406	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	#6382	C₂³	1	1	yes	characteristic
466	#6382	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	#3458	—	7	1	no	—
480	C₂×#540	—	7	1	no	—
481	#3241	—	7	1	no	—
482	#3241	—	7	1	no	—
483	#3241	—	7	1	no	—
484	#3241	—	7	1	no	—
485	#3241	—	7	1	no	—
486	#3241	—	7	1	no	—
487	#3241	—	7	1	no	—
488	#3241	—	7	1	no	—
489	#3241	—	7	1	no	—
490	#3241	—	7	1	no	—
491	#3241	—	7	1	no	—
492	#3241	—	7	1	no	—
493	#3241	—	7	1	no	—
494	#3241	—	7	1	no	—
495	#3241	—	7	1	no	—
496	#3241	D₇	1	1	yes	characteristic, complemented
497	#3166	—	7	1	no	—
498	#3166	—	7	1	no	—
499	#3138	—	7	1	no	—
500	#3138	—	7	1	no	—
501	#3094	—	7	1	no	—
502	#3094	—	7	1	no	—
503	#3094	—	7	1	no	—
504	#3094	—	7	1	no	—
505	#3077	—	7	1	no	—
506	#3077	—	7	1	no	—
507	#3077	—	7	1	no	—
508	#3077	—	7	1	no	—
509	#2921	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₂³×D₇	—	2	1	no	—
512	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
513	C₂×C₇×Q₈	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×D₄	—	2	1	no	—
516	C₂×C₇×D₄	—	2	1	no	—
517	C₂×C₇×D₄	—	2	1	no	—
518	C₂×C₇×D₄	—	2	1	no	—
519	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
520	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇	—	2	1	no	—
522	C₂²×C₄×C₇	—	2	1	no	—
523	C₂²×C₄×C₇	—	2	1	no	—
524	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
525	C₂×C₂²⋊D₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂×C₂²⋊D₇	—	2	1	no	—
528	C₂×C₂²⋊D₇	—	2	1	no	—
529	C₂×C₂²⋊D₇	—	2	1	no	—
530	C₂×C₂²⋊D₇	—	2	1	no	—
531	C₂×C₂²⋊D₇	—	2	1	no	—
532	C₂×C₂²⋊D₇	—	2	1	no	—
533	C₂×C₂²⋊D₇	—	2	1	no	—
534	C₂×C₂²⋊D₇	—	2	1	no	—
535	C₂²×Dic₇	—	2	1	no	—
536	C₂²×Dic₇	—	2	1	no	—
537	C₂²×Dic₇	—	2	1	no	—
538	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
539	D₄×D₇	—	2	2	no	—
540	D₄×D₇	—	2	2	no	—
541	D₄×D₇	—	2	2	no	—
542	D₄×D₇	—	2	2	no	—
543	D₄×D₇	—	8	2	no	—
544	D₄×D₇	—	8	2	no	—
545	D₄×D₇	—	8	2	no	—
546	D₄×D₇	—	8	2	no	—
547	C₂×D₂₈	—	2	1	no	—
548	C₂×D₂₈	—	2	1	no	—
549	C₂×D₂₈	—	2	1	no	—
550	C₂×D₂₈	—	2	1	no	—
551	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
552	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₇	—	2	2	no	—
554	C₂×C₄×D₇	—	2	2	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	—	2	1	no	—
561	C₂×C₄×D₇	—	2	1	no	—
562	C₂×C₄×D₇	—	2	1	no	—
563	C₂×C₄×D₇	—	8	2	no	—
564	C₂×C₄×D₇	—	8	2	no	—
565	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₄	—	2	1	no	—
574	C₂×Dic₁₄	—	2	1	no	—
575	C₂×Dic₁₄	—	2	1	no	—
576	C₂×Dic₁₄	—	2	1	no	—
577	C₂×Dic₁₄	—	2	1	no	—
578	C₂×Dic₁₄	—	2	1	no	—
579	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
591	C₇×C₄⋊C₄	—	2	1	no	—
592	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
605	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
614	C₂²⋊Dic₇	—	2	1	no	—
615	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
616	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
630	(C₂×D₇)⋊C₄	—	2	1	no	—
631	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
632	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
633	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
634	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
643	C₄⋊Dic₇	—	2	1	no	—
644	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₇	C₂×D₄	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	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
673	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
674	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
675	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₇	—	2	1	no	—
677	C₄×Dic₇	—	2	1	no	—
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	#1131	—	2	2	no	—
696	#1131	—	2	2	no	—
697	#544	—	7	1	no	—
698	#544	—	7	1	no	—
699	#544	—	7	1	no	—
700	#544	—	7	1	no	—
701	#544	—	7	1	no	—
702	#544	—	7	1	no	—
703	#544	—	7	1	no	—
704	#544	—	14	1	no	—
705	#544	—	14	1	no	—
706	#544	C₂×D₇	1	1	yes	characteristic, complemented
707	#543	—	14	1	no	—
708	#543	—	14	1	no	—
709	#540	—	7	1	no	—
710	#540	—	7	1	no	—
711	#540	—	7	1	no	—
712	#540	—	7	1	no	—
713	#540	—	7	1	no	—
714	#540	—	7	1	no	—
715	#540	—	7	1	no	—
716	#540	—	14	1	no	—
717	#540	—	14	1	no	—
718	#540	—	14	1	no	—
719	#540	—	14	1	no	—
720	#540	C₂×D₇	1	1	yes	characteristic
721	#533	—	7	1	no	—
722	#533	—	7	1	no	—
723	#533	—	7	1	no	—
724	#533	—	7	1	no	—
725	#533	—	14	1	no	—
726	#533	—	14	1	no	—
727	#533	—	14	1	no	—
728	#533	—	14	1	no	—
729	C₂×#127	—	7	1	no	—
730	C₂×#125	—	7	1	no	—
731	C₂×#123	—	14	1	no	—
732	C₂×#123	—	14	1	no	—
733	C₂×#121	—	7	1	no	—
734	C₂×#121	—	7	1	no	—
735	C₂×#121	—	14	1	no	—
736	C₂×#121	—	14	1	no	—
737	C₂×C₄×D₄	—	7	1	no	—
738	C₂×C₄×D₄	—	7	1	no	—
739	C₂×#117	—	7	1	no	—
740	C₂×#117	—	7	1	no	—
741	C₂×#117	—	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	#499	—	7	1	no	—
751	#499	—	7	1	no	—
752	#499	—	7	1	no	—
753	#499	—	7	1	no	—
754	#499	—	7	1	no	—
755	#499	—	7	1	no	—
756	#499	—	7	1	no	—
757	#499	C₂×D₇	1	1	yes	characteristic, complemented
758	#490	—	7	1	no	—
759	#490	—	7	1	no	—
760	#490	—	7	1	no	—
761	#490	—	7	1	no	—
762	#490	—	7	1	no	—
763	#490	—	7	1	no	—
764	#490	—	7	1	no	—
765	#490	C₂×D₇	1	1	yes	characteristic, complemented
766	#486	—	7	1	no	—
767	#486	—	7	1	no	—
768	#486	—	7	1	no	—
769	#486	—	7	1	no	—
770	#486	—	7	1	no	—
771	#486	—	7	1	no	—
772	#486	—	7	1	no	—
773	#486	C₂×D₇	1	1	yes	characteristic, complemented
774	#482	—	7	1	no	—
775	#482	—	7	1	no	—
776	#482	—	7	1	no	—
777	#482	—	7	1	no	—
778	#482	—	7	1	no	—
779	#482	—	7	1	no	—
780	#482	—	7	1	no	—
781	#482	—	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	—	7	1	no	—
788	#482	C₂×D₇	1	1	yes	characteristic, complemented
789	#482	C₂×D₇	1	1	yes	characteristic, complemented
790	#481	—	7	1	no	—
791	#481	—	7	1	no	—
792	#481	—	7	1	no	—
793	#481	—	7	1	no	—
794	#481	—	7	1	no	—
795	#481	—	7	1	no	—
796	#481	—	7	1	no	—
797	#481	C₂×D₇	1	1	yes	characteristic, complemented
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, complemented
806	#478	—	7	1	no	—
807	#478	—	7	1	no	—
808	#478	—	7	1	no	—
809	#478	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic, complemented
821	#478	C₂×D₇	1	1	yes	characteristic, complemented
822	#476	—	7	1	no	—
823	#476	—	7	1	no	—
824	#476	—	7	1	no	—
825	#476	—	7	1	no	—
826	#476	—	7	1	no	—
827	#476	—	7	1	no	—
828	#476	—	7	1	no	—
829	#476	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
842	#433	—	7	1	no	—
843	#433	—	7	1	no	—
844	#433	—	7	1	no	—
845	#433	C₂×D₇	1	1	yes	characteristic, complemented
846	#428	—	7	1	no	—
847	#428	—	7	1	no	—
848	#428	—	7	1	no	—
849	#428	—	7	1	no	—
850	#428	—	7	1	no	—
851	#428	—	7	1	no	—
852	#428	—	7	1	no	—
853	#428	—	7	1	no	—
854	#423	—	7	1	no	—
855	#423	—	7	1	no	—
856	#418	—	7	1	no	—
857	#418	—	7	1	no	—
858	#418	—	7	1	no	—
859	#418	—	7	1	no	—
860	#418	—	7	1	no	—
861	#418	—	7	1	no	—
862	#418	—	7	1	no	—
863	#418	—	7	1	no	—
864	#407	—	7	1	no	—
865	#407	—	7	1	no	—
866	C₄×M₁₆	—	7	1	no	—
867	C₄×M₁₆	—	7	1	no	—
868	C₂³×C₇	—	2	1	no	—
869	C₂³×C₇	—	2	1	no	—
870	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
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	1	no	—
876	C₂²×D₇	—	4	2	no	—
877	C₂²×D₇	—	4	2	no	—
878	C₂²×D₇	—	4	2	no	—
879	C₂²×D₇	—	4	2	no	—
880	C₂²×D₇	—	4	2	no	—
881	C₂²×D₇	—	4	2	no	—
882	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
883	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
884	C₇×Q₈	—	8	1	no	—
885	C₇×Q₈	—	8	1	no	—
886	C₇×D₄	—	2	1	no	—
887	C₇×D₄	—	2	1	no	—
888	C₇×D₄	—	2	1	no	—
889	C₇×D₄	—	2	1	no	—
890	C₇×D₄	—	8	1	no	—
891	C₇×D₄	—	8	1	no	—
892	C₇×D₄	—	8	1	no	—
893	C₇×D₄	—	8	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	—	2	1	no	—
898	C₂×C₄×C₇	—	2	1	no	—
899	C₂×C₄×C₇	—	2	1	no	—
900	C₂×C₄×C₇	—	2	1	no	—
901	C₂×C₄×C₇	—	2	1	no	—
902	C₂×C₄×C₇	—	8	1	no	—
903	C₂×C₄×C₇	—	8	1	no	—
904	C₂×C₄×C₇	—	8	1	no	—
905	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
906	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
911	C₂²⋊D₇	—	4	2	no	—
912	C₂²⋊D₇	—	4	2	no	—
913	C₂²⋊D₇	—	8	1	no	—
914	C₂²⋊D₇	—	8	1	no	—
915	C₂²⋊D₇	—	8	1	no	—
916	C₂²⋊D₇	—	8	1	no	—
917	C₂²⋊D₇	—	8	1	no	—
918	C₂²⋊D₇	—	8	1	no	—
919	C₂²⋊D₇	—	8	1	no	—
920	C₂²⋊D₇	—	8	1	no	—
921	C₂×Dic₇	—	2	2	no	—
922	C₂×Dic₇	—	2	1	no	—
923	C₂×Dic₇	—	2	1	no	—
924	C₂×Dic₇	—	2	1	no	—
925	C₂×Dic₇	—	2	1	no	—
926	C₂×Dic₇	—	2	1	no	—
927	C₂×Dic₇	—	2	1	no	—
928	C₂×Dic₇	—	8	1	no	—
929	C₂×Dic₇	—	8	1	no	—
930	C₂×Dic₇	—	8	1	no	—
931	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
933	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
937	D₂₈	—	2	1	no	—
938	D₂₈	—	2	1	no	—
939	D₂₈	—	2	1	no	—
940	D₂₈	—	2	1	no	—
941	D₂₈	—	8	1	no	—
942	D₂₈	—	8	1	no	—
943	D₂₈	—	8	1	no	—
944	D₂₈	—	8	1	no	—
945	C₄×D₇	—	2	2	no	—
946	C₄×D₇	—	2	1	no	—
947	C₄×D₇	—	2	1	no	—
948	C₄×D₇	—	2	2	no	—
949	C₄×D₇	—	4	1	no	—
950	C₄×D₇	—	4	1	no	—
951	C₄×D₇	—	4	1	no	—
952	C₄×D₇	—	4	1	no	—
953	C₄×D₇	—	4	2	no	—
954	C₄×D₇	—	4	2	no	—
955	C₄×D₇	—	8	1	no	—
956	C₄×D₇	—	8	1	no	—
957	C₄×D₇	—	8	1	no	—
958	C₄×D₇	—	8	1	no	—
959	C₄×D₇	—	8	1	no	—
960	C₄×D₇	—	8	1	no	—
961	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
962	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
963	Dic₁₄	—	8	1	no	—
964	Dic₁₄	—	8	1	no	—
965	Dic₁₄	—	8	1	no	—
966	Dic₁₄	—	8	1	no	—
967	Dic₁₄	—	8	1	no	—
968	Dic₁₄	—	8	1	no	—
969	C₇×C₈	—	2	1	no	—
970	C₇×C₈	—	2	1	no	—
971	C₇×C₈	—	2	1	no	—
972	C₇×C₈	—	2	1	no	—
973	C₇⋊C₈	—	2	1	no	—
974	C₇⋊C₈	—	2	1	no	—
975	C₇⋊C₈	—	2	1	no	—
976	C₇⋊C₈	—	2	1	no	—
977	C₂²×D₄	—	7	1	no	—
978	C₂²×D₄	—	7	1	no	—
979	C₂²×D₄	—	14	1	no	—
980	C₂²×D₄	—	14	1	no	—
981	C₂²×D₄	—	14	1	no	—
982	C₂²×D₄	—	14	1	no	—
983	C₂³×C₄	—	7	1	no	—
984	C₂³×C₄	—	14	1	no	—
985	C₂³×C₄	—	14	1	no	—
986	C₂×M₁₆	—	7	1	no	—
987	C₂×M₁₆	—	7	1	no	—
988	C₂×M₁₆	—	7	1	no	—
989	C₂×M₁₆	—	7	1	no	—
990	C₄⋊Q₈	—	2	1	no	—
991	C₄⋊Q₈	—	7	1	no	—
992	C₄⋊Q₈	—	7	1	no	—
993	C₄⋊Q₈	—	7	1	no	—
994	C₄⋊Q₈	—	7	1	no	—
995	C₄⋊Q₈	—	7	1	no	—
996	C₄⋊Q₈	—	7	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	C₂²×D₇	1	1	yes	characteristic
1005	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1006	#127	—	7	1	no	—
1007	#127	—	7	1	no	—
1008	#127	—	7	1	no	—
1009	#127	—	14	1	no	—
1010	#127	—	14	1	no	—
1011	#127	C₂²×D₇	1	1	yes	characteristic
1012	#125	—	2	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	—	14	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	C₂²×D₇	1	1	yes	characteristic
1032	#125	C₂²×D₇	1	1	yes	characteristic
1033	#125	C₂²×D₇	1	1	yes	characteristic
1034	#123	—	2	1	no	—
1035	#123	—	2	1	no	—
1036	#123	—	14	1	no	—
1037	#123	—	14	1	no	—
1038	#123	—	14	1	no	—
1039	#123	—	14	1	no	—
1040	#123	—	14	1	no	—
1041	#123	—	14	1	no	—
1042	#123	—	14	1	no	—
1043	#123	—	14	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	C₂²⋊Q₈	—	2	1	no	—
1051	C₂²⋊Q₈	—	2	1	no	—
1052	C₂²⋊Q₈	—	14	1	no	—
1053	C₂²⋊Q₈	—	14	1	no	—
1054	C₂²⋊Q₈	—	14	1	no	—
1055	C₂²⋊Q₈	—	14	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	—	14	1	no	—
1074	#121	—	2	1	no	—
1075	#121	—	2	1	no	—
1076	#121	—	7	1	no	—
1077	#121	—	7	1	no	—
1078	#121	—	7	1	no	—
1079	#121	—	7	1	no	—
1080	#121	—	7	1	no	—
1081	#121	—	7	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	—	14	1	no	—
1090	#121	—	14	1	no	—
1091	#121	—	14	1	no	—
1092	#121	—	14	1	no	—
1093	#121	—	14	1	no	—
1094	#121	—	14	1	no	—
1095	#121	—	14	1	no	—
1096	#121	—	14	1	no	—
1097	#121	—	14	1	no	—
1098	#121	—	14	1	no	—
1099	#121	—	14	1	no	—
1100	#121	C₂²×D₇	1	1	yes	characteristic
1101	#121	C₂²×D₇	1	1	yes	characteristic
1102	C₄×Q₈	—	14	1	no	—
1103	C₄×Q₈	—	14	1	no	—
1104	C₄×Q₈	—	14	1	no	—
1105	C₄×Q₈	—	14	1	no	—
1106	C₄×Q₈	—	14	1	no	—
1107	C₄×Q₈	—	14	1	no	—
1108	C₄×Q₈	—	14	1	no	—
1109	C₄×Q₈	—	14	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	—	14	1	no	—
1117	C₄×D₄	—	14	1	no	—
1118	C₄×D₄	—	14	1	no	—
1119	C₄×D₄	—	14	1	no	—
1120	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1121	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1128	#117	—	7	1	no	—
1129	#117	—	7	1	no	—
1130	#117	—	7	1	no	—
1131	#117	—	7	1	no	—
1132	#117	—	7	1	no	—
1133	#117	—	7	1	no	—
1134	#117	—	7	1	no	—
1135	#117	—	7	1	no	—
1136	#117	—	14	1	no	—
1137	#117	—	14	1	no	—
1138	#117	—	14	1	no	—
1139	#117	—	14	1	no	—
1140	#117	C₂²×D₇	1	1	yes	characteristic
1141	#117	C₂²×D₇	1	1	yes	characteristic
1142	C₂×C₄⋊C₄	—	7	1	no	—
1143	C₂×C₄⋊C₄	—	7	1	no	—
1144	C₂×C₄⋊C₄	—	7	1	no	—
1145	C₂×C₄⋊C₄	—	7	1	no	—
1146	C₂×C₄⋊C₄	—	7	1	no	—
1147	C₂×C₄⋊C₄	—	7	1	no	—
1148	C₂×C₄⋊C₄	—	7	1	no	—
1149	C₂×C₄⋊C₄	—	14	1	no	—
1150	C₂×C₄⋊C₄	—	14	1	no	—
1151	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	—	7	1	no	—
1153	C₂×C₂²⋊C₄	—	7	1	no	—
1154	C₂×C₂²⋊C₄	—	14	1	no	—
1155	C₂×C₂²⋊C₄	—	14	1	no	—
1156	C₂×C₂²⋊C₄	—	14	1	no	—
1157	C₂×C₂²⋊C₄	—	14	1	no	—
1158	C₂×C₂²⋊C₄	—	14	1	no	—
1159	C₂×C₂²⋊C₄	—	14	1	no	—
1160	C₂×C₄²	—	7	1	no	—
1161	C₂×C₄²	—	7	1	no	—
1162	C₂×C₄²	—	14	1	no	—
1163	C₂×C₄²	—	14	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	—	7	1	no	—
1174	#107	—	7	1	no	—
1175	#107	—	7	1	no	—
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	#107	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1190	#106	—	7	1	no	—
1191	#106	—	7	1	no	—
1192	#106	C₂²×D₇	1	1	yes	characteristic
1193	#106	C₂²×D₇	1	1	yes	characteristic
1194	#106	C₂²×D₇	1	1	yes	characteristic
1195	#106	C₂²×D₇	1	1	yes	characteristic
1196	C₄⋊C₈	—	7	1	no	—
1197	C₄⋊C₈	—	7	1	no	—
1198	C₄⋊C₈	—	7	1	no	—
1199	C₄⋊C₈	—	7	1	no	—
1200	C₄⋊C₈	—	7	1	no	—
1201	C₄⋊C₈	—	7	1	no	—
1202	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1203	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1204	#102	—	7	1	no	—
1205	#102	—	7	1	no	—
1206	#102	—	7	1	no	—
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	—	7	1	no	—
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	#102	C₂²×D₇	1	1	yes	characteristic
1232	#102	C₂²×D₇	1	1	yes	characteristic
1233	#102	C₂²×D₇	1	1	yes	characteristic
1234	#102	C₂²×D₇	1	1	yes	characteristic
1235	#102	C₂²×D₇	1	1	yes	characteristic
1236	C₂²⋊C₈	—	7	1	no	—
1237	C₂²⋊C₈	—	7	1	no	—
1238	C₂²⋊C₈	—	7	1	no	—
1239	C₂²⋊C₈	—	7	1	no	—
1240	C₂²⋊C₈	—	7	1	no	—
1241	C₂²⋊C₈	—	7	1	no	—
1242	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1244	#97	—	7	1	no	—
1245	#97	—	7	1	no	—
1246	#97	—	7	1	no	—
1247	#97	C₂²×D₇	1	1	yes	characteristic
1248	C₄×C₈	—	7	1	no	—
1249	C₄×C₈	—	7	1	no	—
1250	C₄×C₈	—	7	1	no	—
1251	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1252	C₂²×C₇	—	2	1	no	—
1253	C₂²×C₇	—	2	1	no	—
1254	C₂²×C₇	—	2	1	no	—
1255	C₂²×C₇	—	4	1	no	—
1256	C₂²×C₇	—	4	1	no	—
1257	C₂²×C₇	—	4	1	no	—
1258	C₂²×C₇	—	4	1	no	—
1259	C₂²×C₇	—	4	1	no	—
1260	C₂²×C₇	—	4	1	no	—
1261	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1262	C₂×D₇	—	2	1	no	—
1263	C₂×D₇	—	2	1	no	—
1264	C₂×D₇	—	2	1	no	—
1265	C₂×D₇	—	2	1	no	—
1266	C₂×D₇	—	2	1	no	—
1267	C₂×D₇	—	4	1	no	—
1268	C₂×D₇	—	4	1	no	—
1269	C₂×D₇	—	4	1	no	—
1270	C₂×D₇	—	4	1	no	—
1271	C₂×D₇	—	4	1	no	—
1272	C₂×D₇	—	4	1	no	—
1273	C₂×D₇	—	8	2	no	—
1274	C₂×D₇	—	8	4	no	—
1275	C₂×D₇	—	8	4	no	—
1276	C₂×D₇	#536	1	2	yes	—
1277	C₄×C₇	—	2	1	no	—
1278	C₄×C₇	—	2	1	no	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	4	1	no	—
1283	C₄×C₇	—	4	1	no	—
1284	C₄×C₇	—	4	1	no	—
1285	C₄×C₇	—	4	1	no	—
1286	C₄×C₇	—	4	1	no	—
1287	C₄×C₇	—	4	1	no	—
1288	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1289	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1290	Dic₇	—	2	1	no	—
1291	Dic₇	—	2	1	no	—
1292	Dic₇	—	2	1	no	—
1293	Dic₇	—	2	1	no	—
1294	Dic₇	—	2	1	no	—
1295	Dic₇	—	4	1	no	—
1296	Dic₇	—	4	1	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	Dic₇	—	4	1	no	—
1301	Dic₇	#536	1	2	yes	—
1302	C₂⁴	—	7	1	no	—
1303	C₂⁴	—	14	1	no	—
1304	C₂⁴	—	14	1	no	—
1305	C₂×Q₈	—	2	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	14	1	no	—
1308	C₂×Q₈	—	14	1	no	—
1309	C₂×Q₈	—	14	1	no	—
1310	C₂×Q₈	—	14	1	no	—
1311	C₂×Q₈	—	14	1	no	—
1312	C₂×Q₈	—	14	1	no	—
1313	C₂×D₄	—	2	1	no	—
1314	C₂×D₄	—	2	1	no	—
1315	C₂×D₄	—	2	1	no	—
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	7	1	no	—
1318	C₂×D₄	—	7	1	no	—
1319	C₂×D₄	—	14	1	no	—
1320	C₂×D₄	—	14	1	no	—
1321	C₂×D₄	—	14	2	no	—
1322	C₂×D₄	—	14	2	no	—
1323	C₂×D₄	—	14	2	no	—
1324	C₂×D₄	—	14	2	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	—	14	1	no	—
1330	C₂×D₄	—	14	1	no	—
1331	C₂×D₄	—	14	1	no	—
1332	C₂×D₄	—	14	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	—	14	1	no	—
1335	C₂×D₄	—	14	1	no	—
1336	C₂×D₄	—	14	1	no	—
1337	C₂×D₄	—	56	2	no	—
1338	C₂×D₄	—	56	2	no	—
1339	C₂×D₄	—	56	2	no	—
1340	C₂×D₄	—	56	2	no	—
1341	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1342	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	7	1	no	—
1347	C₂²×C₄	—	7	1	no	—
1348	C₂²×C₄	—	7	1	no	—
1349	C₂²×C₄	—	7	1	no	—
1350	C₂²×C₄	—	7	1	no	—
1351	C₂²×C₄	—	7	1	no	—
1352	C₂²×C₄	—	7	1	no	—
1353	C₂²×C₄	—	7	1	no	—
1354	C₂²×C₄	—	7	1	no	—
1355	C₂²×C₄	—	14	2	no	—
1356	C₂²×C₄	—	14	2	no	—
1357	C₂²×C₄	—	14	1	no	—
1358	C₂²×C₄	—	14	1	no	—
1359	C₂²×C₄	—	14	1	no	—
1360	C₂²×C₄	—	14	1	no	—
1361	C₂²×C₄	—	14	1	no	—
1362	C₂²×C₄	—	14	1	no	—
1363	C₂²×C₄	—	14	1	no	—
1364	C₂²×C₄	—	14	1	no	—
1365	C₂²×C₄	—	14	1	no	—
1366	C₂²×C₄	—	14	1	no	—
1367	C₂²×C₄	—	14	1	no	—
1368	C₂²×C₄	—	56	2	no	—
1369	C₂²×C₄	—	56	2	no	—
1370	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1371	M₁₆	—	14	2	no	—
1372	M₁₆	—	14	2	no	—
1373	M₁₆	—	14	2	no	—
1374	M₁₆	—	14	2	no	—
1375	C₂×C₈	—	7	1	no	—
1376	C₂×C₈	—	7	1	no	—
1377	C₂×C₈	—	7	1	no	—
1378	C₂×C₈	—	7	1	no	—
1379	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1380	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1381	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1382	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	7	1	no	—
1393	C₄⋊C₄	—	7	1	no	—
1394	C₄⋊C₄	—	7	1	no	—
1395	C₄⋊C₄	—	7	1	no	—
1396	C₄⋊C₄	—	7	1	no	—
1397	C₄⋊C₄	—	7	1	no	—
1398	C₄⋊C₄	—	7	1	no	—
1399	C₄⋊C₄	—	7	1	no	—
1400	C₄⋊C₄	—	7	1	no	—
1401	C₄⋊C₄	—	7	1	no	—
1402	C₄⋊C₄	—	7	1	no	—
1403	C₄⋊C₄	—	7	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	—	14	1	no	—
1428	C₄⋊C₄	—	14	1	no	—
1429	C₄⋊C₄	—	14	1	no	—
1430	C₄⋊C₄	—	14	1	no	—
1431	C₄⋊C₄	—	14	1	no	—
1432	C₄⋊C₄	—	14	1	no	—
1433	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1434	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1435	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1436	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1437	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1438	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1439	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1440	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	7	1	no	—
1447	C₂²⋊C₄	—	7	1	no	—
1448	C₂²⋊C₄	—	7	1	no	—
1449	C₂²⋊C₄	—	7	1	no	—
1450	C₂²⋊C₄	—	7	1	no	—
1451	C₂²⋊C₄	—	7	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	—	14	1	no	—
1465	C₂²⋊C₄	—	14	1	no	—
1466	C₂²⋊C₄	—	14	1	no	—
1467	C₂²⋊C₄	—	14	1	no	—
1468	C₂²⋊C₄	—	14	1	no	—
1469	C₂²⋊C₄	—	14	1	no	—
1470	C₂²⋊C₄	—	14	1	no	—
1471	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1472	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1473	C₄²	—	2	1	no	—
1474	C₄²	—	7	1	no	—
1475	C₄²	—	7	1	no	—
1476	C₄²	—	7	1	no	—
1477	C₄²	—	7	1	no	—
1478	C₄²	—	7	1	no	—
1479	C₄²	—	7	1	no	—
1480	C₄²	—	14	1	no	—
1481	C₄²	—	14	1	no	—
1482	C₄²	—	14	1	no	—
1483	C₄²	—	14	1	no	—
1484	C₄²	—	14	1	no	—
1485	C₄²	—	14	1	no	—
1486	C₄²	—	14	1	no	—
1487	C₄²	C₂³×D₇	1	1	yes	characteristic
1488	C₄²	C₂³×D₇	1	1	yes	characteristic
1489	C₂×C₇	—	4	1	no	—
1490	C₂×C₇	—	8	1	no	—
1491	C₂×C₇	—	8	1	no	—
1492	C₂×C₇	C₂×#536	1	1	yes	characteristic
1493	C₂×C₇	#3585	1	1	yes	characteristic
1494	C₂×C₇	#3585	1	1	yes	characteristic
1495	D₇	—	2	2	no	—
1496	D₇	—	4	1	no	—
1497	D₇	—	8	1	no	—
1498	D₇	—	8	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	7	1	no	—
1502	C₂³	—	7	1	no	—
1503	C₂³	—	14	2	no	—
1504	C₂³	—	14	1	no	—
1505	C₂³	—	14	1	no	—
1506	C₂³	—	28	1	no	—
1507	C₂³	—	28	1	no	—
1508	C₂³	—	28	2	no	—
1509	C₂³	—	28	2	no	—
1510	C₂³	—	28	2	no	—
1511	C₂³	—	28	2	no	—
1512	C₂³	—	28	2	no	—
1513	C₂³	—	28	2	no	—
1514	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1515	Q₈	—	8	1	no	—
1516	Q₈	—	8	1	no	—
1517	Q₈	—	56	1	no	—
1518	Q₈	—	56	1	no	—
1519	Q₈	—	56	1	no	—
1520	Q₈	—	56	1	no	—
1521	Q₈	—	56	1	no	—
1522	Q₈	—	56	1	no	—
1523	D₄	—	2	1	no	—
1524	D₄	—	2	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	8	1	no	—
1528	D₄	—	8	1	no	—
1529	D₄	—	8	1	no	—
1530	D₄	—	8	1	no	—
1531	D₄	—	14	1	no	—
1532	D₄	—	14	1	no	—
1533	D₄	—	14	1	no	—
1534	D₄	—	14	1	no	—
1535	D₄	—	28	2	no	—
1536	D₄	—	28	2	no	—
1537	D₄	—	56	1	no	—
1538	D₄	—	56	1	no	—
1539	D₄	—	56	1	no	—
1540	D₄	—	56	1	no	—
1541	D₄	—	56	1	no	—
1542	D₄	—	56	1	no	—
1543	D₄	—	56	1	no	—
1544	D₄	—	56	1	no	—
1545	D₄	—	56	1	no	—
1546	D₄	—	56	1	no	—
1547	D₄	—	56	1	no	—
1548	D₄	—	56	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	7	1	no	—
1558	C₂×C₄	—	7	2	no	—
1559	C₂×C₄	—	7	2	no	—
1560	C₂×C₄	—	7	1	no	—
1561	C₂×C₄	—	7	1	no	—
1562	C₂×C₄	—	7	1	no	—
1563	C₂×C₄	—	7	1	no	—
1564	C₂×C₄	—	7	1	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	8	1	no	—
1567	C₂×C₄	—	8	1	no	—
1568	C₂×C₄	—	14	2	no	—
1569	C₂×C₄	—	14	2	no	—
1570	C₂×C₄	—	14	2	no	—
1571	C₂×C₄	—	14	1	no	—
1572	C₂×C₄	—	14	1	no	—
1573	C₂×C₄	—	14	1	no	—
1574	C₂×C₄	—	14	1	no	—
1575	C₂×C₄	—	14	1	no	—
1576	C₂×C₄	—	14	1	no	—
1577	C₂×C₄	—	14	1	no	—
1578	C₂×C₄	—	14	1	no	—
1579	C₂×C₄	—	28	1	no	—
1580	C₂×C₄	—	28	1	no	—
1581	C₂×C₄	—	28	1	no	—
1582	C₂×C₄	—	28	1	no	—
1583	C₂×C₄	—	28	2	no	—
1584	C₂×C₄	—	28	2	no	—
1585	C₂×C₄	—	56	1	no	—
1586	C₂×C₄	—	56	1	no	—
1587	C₂×C₄	—	56	1	no	—
1588	C₂×C₄	—	56	1	no	—
1589	C₂×C₄	—	56	1	no	—
1590	C₂×C₄	—	56	1	no	—
1591	C₂×C₄	—	56	1	no	—
1592	C₂×C₄	—	56	1	no	—
1593	C₂×C₄	—	56	1	no	—
1594	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1598	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1599	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	14	1	no	—
1605	C₈	—	14	1	no	—
1606	C₈	—	14	1	no	—
1607	C₈	—	14	1	no	—
1608	C₇	#60868	1	1	yes	characteristic, complemented, Sylow
1609	C₂²	—	2	1	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	7	2	no	—
1619	C₂²	—	14	1	no	—
1620	C₂²	—	14	1	no	—
1621	C₂²	—	14	1	no	—
1622	C₂²	—	14	1	no	—
1623	C₂²	—	14	1	no	—
1624	C₂²	—	28	1	no	—
1625	C₂²	—	28	1	no	—
1626	C₂²	—	28	1	no	—
1627	C₂²	—	28	1	no	—
1628	C₂²	—	28	1	no	—
1629	C₂²	—	28	1	no	—
1630	C₂²	—	56	2	no	—
1631	C₂²	—	56	4	no	—
1632	C₂²	—	56	4	no	—
1633	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	7	2	no	—
1646	C₄	—	14	1	no	—
1647	C₄	—	14	1	no	—
1648	C₄	—	14	1	no	—
1649	C₄	—	14	1	no	—
1650	C₄	—	14	1	no	—
1651	C₄	—	28	1	no	—
1652	C₄	—	28	1	no	—
1653	C₄	—	28	1	no	—
1654	C₄	—	28	1	no	—
1655	C₄	—	28	1	no	—
1656	C₄	—	28	1	no	—
1657	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1658	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1659	C₂	—	4	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	—	14	2	no	—
1663	C₂	—	28	1	no	—
1664	C₂	—	56	1	no	—
1665	C₂	—	56	1	no	—
1666	C₂	D₇×#536	1	1	yes	characteristic
1667	C₂	#11744272	1	1	yes	characteristic
1668	C₂	#11744275	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×#3241	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	D₇×#540	C₂
hypercenter	#3241	D₇
hypocenter	C₇	#60868
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3241

Complements

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

N	H ≅ G/N	type
1. #11743649	C₂	semidirect
3. C₇×#3241	C₂	semidirect
4. #11740922	C₂	semidirect
5. #11740875	C₂	semidirect
6. #11739431	C₂	semidirect
7. #11739422	C₂	semidirect
8. #11739367	C₂	semidirect
9. #11739364	C₂	semidirect
10. #11739168	C₂	semidirect
11. #11739160	C₂	semidirect
12. #11739020	C₂	semidirect
13. #11739009	C₂	semidirect
14. #11738818	C₂	semidirect
15. #11738818	C₂	semidirect
16. #11738806	C₂	semidirect
17. #11738805	C₂	semidirect
18. #11738771	C₂	semidirect
19. #11738761	C₂	semidirect
20. #11738728	C₂	semidirect
21. #11738723	C₂	semidirect
22. #11738622	C₂	semidirect
23. #11738621	C₂	semidirect
24. #11738611	C₂	semidirect
25. #11738611	C₂	semidirect
26. #11738513	C₂	semidirect
27. #11738505	C₂	semidirect
28. #11738418	C₂	semidirect
29. #11738410	C₂	semidirect
30. #11736816	C₂	semidirect
31. #11736807	C₂	semidirect
32. C₇×#544	C₂²	semidirect
35. #90420	C₂²	semidirect
36. #90420	C₂²	semidirect
44. #90380	C₂²	semidirect
45. #90380	C₂²	semidirect
73. #90210	C₂²	semidirect
74. #90210	C₂²	semidirect
76. #90191	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#499	C₂²	semidirect
79. C₇×#490	C₂²	semidirect
80. C₇×#486	C₂²	semidirect
81. C₇×#482	C₂²	semidirect
82. C₇×#482	C₂²	semidirect
83. C₇×#481	C₂²	semidirect
84. C₇×#480	C₂²	semidirect
85. C₇×#478	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#476	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. #89843	C₂²	semidirect
95. #89842	C₂²	semidirect
96. #89839	C₂²	semidirect
97. #89838	C₂²	semidirect
98. #89838	C₂²	semidirect
99. #89837	C₂²	semidirect
100. #89836	C₂²	semidirect
101. #89836	C₂²	semidirect
102. #89807	C₂²	semidirect
103. #89807	C₂²	semidirect
104. #89806	C₂²	semidirect
105. #89805	C₂²	semidirect
106. #89781	C₂²	semidirect
107. #89781	C₂²	semidirect
108. #89780	C₂²	semidirect
109. #89779	C₂²	semidirect
110. #89775	C₂²	semidirect
111. #89775	C₂²	semidirect
112. #89772	C₂²	semidirect
113. #89740	C₂²	semidirect
114. #89739	C₂²	semidirect
115. #89663	C₂²	semidirect
116. #89663	C₂²	semidirect
117. #89662	C₂²	semidirect
118. #89662	C₂²	semidirect
119. #89657	C₂²	semidirect
120. #89657	C₂²	semidirect
121. #89654	C₂²	semidirect
122. #89654	C₂²	semidirect
127. #89650	C₂²	semidirect
128. #89650	C₂²	semidirect
129. #89648	C₂²	semidirect
130. #89648	C₂²	semidirect
131. #89643	C₂²	semidirect
132. #89643	C₂²	semidirect
133. #89642	C₂²	semidirect
134. #89642	C₂²	semidirect
135. #89638	C₂²	semidirect
136. #89638	C₂²	semidirect
137. #89635	C₂²	semidirect
138. #89635	C₂²	semidirect
143. #89630	C₂²	semidirect
144. #89630	C₂²	semidirect
145. #89628	C₂²	semidirect
146. #89628	C₂²	semidirect
147. #89619	C₂²	semidirect
148. #89619	C₂²	semidirect
149. #89618	C₂²	semidirect
150. #89614	C₂²	semidirect
151. #89612	C₂²	semidirect
152. #89612	C₂²	semidirect
155. #89556	C₂²	semidirect
156. #89556	C₂²	semidirect
157. #89551	C₂²	semidirect
158. #89551	C₂²	semidirect
159. #89549	C₂²	semidirect
160. #89549	C₂²	semidirect
161. #89546	C₂²	semidirect
162. #89546	C₂²	semidirect
171. #89538	C₂²	semidirect
172. #89538	C₂²	semidirect
173. #89536	C₂²	semidirect
174. #89536	C₂²	semidirect
175. #89536	C₂²	semidirect
176. #89536	C₂²	semidirect
177. #89535	C₂²	semidirect
178. #89535	C₂²	semidirect
179. #89533	C₂²	semidirect
180. #89533	C₂²	semidirect
181. #89532	C₂²	semidirect
182. #89532	C₂²	semidirect
183. #89532	C₂²	semidirect
184. #89532	C₂²	semidirect
185. #89531	C₂²	semidirect
186. #89531	C₂²	semidirect
187. #89509	C₂²	semidirect
188. #89509	C₂²	semidirect
189. #89508	C₂²	semidirect
190. #89507	C₂²	semidirect
193. #89492	C₂²	semidirect
194. #89492	C₂²	semidirect
195. #89485	C₂²	semidirect
196. #89481	C₂²	semidirect
198. #89474	C₂²	semidirect
199. #89466	C₂²	semidirect
200. #89462	C₂²	semidirect
202. #89455	C₂²	semidirect
496. #3241	D₇	semidirect
706. #544	C₂×D₇	semidirect
749. #501	C₂×D₇	semidirect
757. #499	C₂×D₇	semidirect
765. #490	C₂×D₇	semidirect
773. #486	C₂×D₇	semidirect
788. #482	C₂×D₇	semidirect
789. #482	C₂×D₇	semidirect
797. #481	C₂×D₇	semidirect
805. #480	C₂×D₇	semidirect
820. #478	C₂×D₇	semidirect
821. #478	C₂×D₇	semidirect
829. #476	C₂×D₇	semidirect
837. #474	C₂×D₇	semidirect
845. #433	C₂×D₇	semidirect
1608. C₇	#60868	semidirect

Maximal subgroups

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

subgroup	index
#11743649	2
D₇×#540	2
C₇×#3241	2
#11740922	2
#11740875	2
#11739431	2
#11739422	2
#11739367	2
#11739364	2
#11739168	2
#11739160	2
#11739020	2
#11739009	2
#11738818	2
#11738806	2
#11738805	2
#11738771	2
#11738761	2
#11738728	2
#11738723	2
#11738622	2
#11738621	2
#11738611	2
#11738513	2
#11738505	2
#11738418	2
#11738410	2
#11736816	2
#11736807	2
#60868	7