Subgroups — #14250751

Order 1792.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11744106	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743843	C₂	1	1	yes	maximal, characteristic
3	C₇×#3368	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741140	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741032	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739170	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739170	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739168	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739166	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739022	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739020	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738644	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738639	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738613	C₂	1	1	yes	maximal, characteristic, complemented
15	D₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738433	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738412	C₂	1	1	yes	maximal, characteristic, complemented
18	#11737842	C₂	1	1	yes	maximal, characteristic, complemented
19	#11737842	C₂	1	1	yes	maximal, characteristic, complemented
20	#11737840	C₂	1	1	yes	maximal, characteristic, complemented
21	#11737813	C₂	1	1	yes	maximal, characteristic, complemented
22	#11737813	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737811	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737423	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737391	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737253	C₂	1	1	yes	maximal, characteristic, complemented
27	#11737252	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737232	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737224	C₂	1	1	yes	maximal, characteristic, complemented
30	#11737134	C₂	1	1	yes	maximal, characteristic, complemented
31	#11737104	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#557	C₂²	1	1	yes	characteristic, complemented
33	C₇×#550	C₂²	1	1	yes	characteristic
34	#90520	—	2	1	no	—
35	#90519	—	2	1	no	—
36	#90426	—	2	1	no	—
37	#90421	C₂²	1	1	yes	characteristic, complemented
38	#90420	—	2	1	no	—
39	#90420	C₂²	1	1	yes	characteristic, complemented
40	#90410	C₂²	1	1	yes	characteristic
41	#90410	C₂²	1	1	yes	characteristic
42	#90408	C₂²	1	1	yes	characteristic
43	#90408	C₂²	1	1	yes	characteristic
44	#90408	C₂²	1	1	yes	characteristic
45	#90407	C₂²	1	1	yes	characteristic
46	#90387	—	2	1	no	—
47	#90385	C₂²	1	1	yes	characteristic, complemented
48	#90385	C₂²	1	1	yes	characteristic, complemented
49	#90384	—	2	1	no	—
50	#90383	—	2	1	no	—
51	#90380	C₂²	1	1	yes	characteristic, complemented
52	D₇×#125	C₂²	1	1	yes	characteristic, complemented
53	C₇⋊#564	—	2	1	no	—
54	#90305	—	2	1	no	—
55	#90304	—	2	1	no	—
56	#90304	—	2	1	no	—
57	#90301	—	2	1	no	—
58	#90301	—	2	1	no	—
59	D₇×#121	—	2	1	no	—
60	#90274	—	2	1	no	—
61	#90274	C₂²	1	1	yes	characteristic, complemented
62	#90274	C₂²	1	1	yes	characteristic, complemented
63	#90272	—	2	1	no	—
64	#90272	C₂²	1	1	yes	characteristic, complemented
65	#90272	C₂²	1	1	yes	characteristic, complemented
66	#90271	C₂²	1	1	yes	characteristic
67	#90270	C₂²	1	1	yes	characteristic
68	#90270	C₂²	1	1	yes	characteristic, complemented
69	#90269	C₂²	1	1	yes	characteristic, complemented
70	#90258	C₂²	1	1	yes	characteristic, complemented
71	#90254	C₂²	1	1	yes	characteristic
72	#90249	C₂²	1	1	yes	characteristic
73	#90249	C₂²	1	1	yes	characteristic
74	#90236	C₂²	1	1	yes	characteristic
75	#90236	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
77	C₇×#490	C₂²	1	1	yes	characteristic, complemented
78	C₇×#490	C₂²	1	1	yes	characteristic, complemented
79	C₇×#486	C₂²	1	1	yes	characteristic, complemented
80	C₇×#478	C₂²	1	1	yes	characteristic, complemented
81	C₇×#478	C₂²	1	1	yes	characteristic, complemented
82	C₇×#474	C₂²	1	1	yes	characteristic, complemented
83	C₇×#460	C₂²	1	1	yes	characteristic, complemented
84	C₇×#460	C₂²	1	1	yes	characteristic, complemented
85	C₇×#460	C₂²	1	1	yes	characteristic, complemented
86	C₇×#446	C₂²	1	1	yes	characteristic, complemented
87	C₇×#440	C₂²	1	1	yes	characteristic, complemented
88	C₇×#440	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
90	#89946	C₂²	1	1	yes	characteristic, complemented
91	#89946	C₂²	1	1	yes	characteristic, complemented
92	#89943	C₂²	1	1	yes	characteristic, complemented
93	#89943	C₂²	1	1	yes	characteristic, complemented
94	#89943	C₂²	1	1	yes	characteristic, complemented
95	#89943	C₂²	1	1	yes	characteristic, complemented
96	#89941	C₂²	1	1	yes	characteristic
97	#89941	C₂²	1	1	yes	characteristic
98	#89941	C₂²	1	1	yes	characteristic
99	#89934	C₂²	1	1	yes	characteristic, complemented
100	#89934	C₂²	1	1	yes	characteristic, complemented
101	#89934	C₂²	1	1	yes	characteristic, complemented
102	#89856	C₂²	1	1	yes	characteristic
103	#89852	C₂²	1	1	yes	characteristic, complemented
104	#89847	C₂²	1	1	yes	characteristic, complemented
105	#89847	C₂²	1	1	yes	characteristic, complemented
106	#89847	C₂²	1	1	yes	characteristic, complemented
107	#89843	C₂²	1	1	yes	characteristic, complemented
108	#89843	C₂²	1	1	yes	characteristic, complemented
109	#89842	C₂²	1	1	yes	characteristic, complemented
110	#89838	C₂²	1	1	yes	characteristic
111	#89838	C₂²	1	1	yes	characteristic
112	#89837	C₂²	1	1	yes	characteristic, complemented
113	#89836	C₂²	1	1	yes	characteristic, complemented
114	#89798	C₂²	1	1	yes	characteristic
115	#89798	C₂²	1	1	yes	characteristic
116	C₄×#1143	C₂²	1	1	yes	characteristic
117	#89796	C₂²	1	1	yes	characteristic, complemented
118	#89794	C₂²	1	1	yes	characteristic, complemented
119	#89794	C₂²	1	1	yes	characteristic, complemented
120	#89792	C₂²	1	1	yes	characteristic, complemented
121	#89790	C₂²	1	1	yes	characteristic, complemented
122	#89790	C₂²	1	1	yes	characteristic, complemented
123	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
124	#89781	C₂²	1	1	yes	characteristic, complemented
125	#89781	C₂²	1	1	yes	characteristic, complemented
126	#89779	C₂²	1	1	yes	characteristic, complemented
127	#89663	C₂²	1	1	yes	characteristic
128	#89662	C₂²	1	1	yes	characteristic
129	#89660	C₂²	1	1	yes	characteristic, complemented
130	#89656	C₂²	1	1	yes	characteristic, complemented
131	#89653	C₂²	1	1	yes	characteristic, complemented
132	#89653	C₂²	1	1	yes	characteristic, complemented
133	#89652	C₂²	1	1	yes	characteristic, complemented
134	D₇×#107	C₂²	1	1	yes	characteristic, complemented
135	#89643	C₂²	1	1	yes	characteristic
136	#89639	C₂²	1	1	yes	characteristic, complemented
137	#89632	C₂²	1	1	yes	characteristic, complemented
138	D₇×#106	C₂²	1	1	yes	characteristic, complemented
139	#89623	C₂²	1	1	yes	characteristic, complemented
140	#89619	C₂²	1	1	yes	characteristic
141	#89619	C₂²	1	1	yes	characteristic
142	#89614	C₂²	1	1	yes	characteristic
143	#89611	C₂²	1	1	yes	characteristic, complemented
144	#89611	C₂²	1	1	yes	characteristic, complemented
145	#89608	C₂²	1	1	yes	characteristic, complemented
146	#89608	C₂²	1	1	yes	characteristic, complemented
147	#89606	C₂²	1	1	yes	characteristic, complemented
148	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
149	#89601	C₂²	1	1	yes	characteristic, complemented
150	#89601	C₂²	1	1	yes	characteristic, complemented
151	#89590	C₂²	1	1	yes	characteristic
152	#89587	C₂²	1	1	yes	characteristic, complemented
153	#89586	C₂²	1	1	yes	characteristic, complemented
154	#89581	C₂²	1	1	yes	characteristic, complemented
155	#89556	C₂²	1	1	yes	characteristic, complemented
156	#89556	C₂²	1	1	yes	characteristic, complemented
157	#89552	C₂²	1	1	yes	characteristic, complemented
158	#89552	C₂²	1	1	yes	characteristic, complemented
159	#89551	C₂²	1	1	yes	characteristic, complemented
160	#89551	C₂²	1	1	yes	characteristic, complemented
161	#89550	C₂²	1	1	yes	characteristic, complemented
162	#89550	C₂²	1	1	yes	characteristic, complemented
163	#89550	C₂²	1	1	yes	characteristic, complemented
164	#89550	C₂²	1	1	yes	characteristic, complemented
165	#89549	C₂²	1	1	yes	characteristic, complemented
166	#89549	C₂²	1	1	yes	characteristic, complemented
167	#89549	C₂²	1	1	yes	characteristic, complemented
168	#89549	C₂²	1	1	yes	characteristic, complemented
169	#89548	C₂²	1	1	yes	characteristic
170	#89548	C₂²	1	1	yes	characteristic
171	#89548	C₂²	1	1	yes	characteristic
172	#89546	C₂²	1	1	yes	characteristic, complemented
173	#89546	C₂²	1	1	yes	characteristic, complemented
174	#89546	C₂²	1	1	yes	characteristic, complemented
175	#89546	C₂²	1	1	yes	characteristic, complemented
176	#89542	C₂²	1	1	yes	characteristic
177	#89542	C₂²	1	1	yes	characteristic
178	D₇×#102	C₂²	1	1	yes	characteristic
179	D₇×#102	C₂²	1	1	yes	characteristic
180	D₇×#102	C₂²	1	1	yes	characteristic
181	D₇×#102	C₂²	1	1	yes	characteristic
182	#89538	C₂²	1	1	yes	characteristic, complemented
183	#89538	C₂²	1	1	yes	characteristic, complemented
184	#89538	C₂²	1	1	yes	characteristic, complemented
185	#89535	C₂²	1	1	yes	characteristic, complemented
186	#89535	C₂²	1	1	yes	characteristic, complemented
187	#89535	C₂²	1	1	yes	characteristic, complemented
188	#89533	C₂²	1	1	yes	characteristic, complemented
189	#89533	C₂²	1	1	yes	characteristic, complemented
190	#89531	C₂²	1	1	yes	characteristic, complemented
191	#89482	C₂²	1	1	yes	characteristic
192	#89482	C₂²	1	1	yes	characteristic
193	#89481	C₂²	1	1	yes	characteristic, complemented
194	#89478	C₂²	1	1	yes	characteristic, complemented
195	#89478	C₂²	1	1	yes	characteristic, complemented
196	#89477	C₂²	1	1	yes	characteristic, complemented
197	#89474	C₂²	1	1	yes	characteristic, complemented
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	C₄×#1132	C₂²	1	1	yes	characteristic
200	#89462	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
202	#89455	C₂²	1	1	yes	characteristic, complemented
203	#62164	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×#1159	—	2	1	no	—
206	C₂×D₄×D₇	—	2	1	no	—
207	C₂×D₄×D₇	—	2	1	no	—
208	C₂×D₄×D₇	—	2	1	no	—
209	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₇	—	2	1	no	—
213	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
216	C₇×C₄⋊Q₈	—	2	1	no	—
217	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₇×#127	C₂³	1	1	yes	characteristic
219	C₇×#127	C₂³	1	1	yes	characteristic
220	C₇×#127	C₂³	1	1	yes	characteristic
221	C₇×#125	—	2	1	no	—
222	C₇×#125	—	2	1	no	—
223	C₇×#125	C₂³	1	1	yes	characteristic
224	C₇×#125	C₂³	1	1	yes	characteristic
225	C₇×#121	—	2	1	no	—
226	C₇×#121	—	2	1	no	—
227	C₇×#121	—	2	1	no	—
228	C₄×C₇×Q₈	—	2	1	no	—
229	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	#6510	D₄	1	1	yes	characteristic
237	#6509	—	2	1	no	—
238	#6509	—	2	1	no	—
239	#6509	—	2	1	no	—
240	#6509	—	2	1	no	—
241	#6509	D₄	1	1	yes	characteristic
242	#6509	C₂³	1	1	yes	characteristic
243	#6509	C₂³	1	1	yes	characteristic
244	#6509	C₂³	1	1	yes	characteristic
245	#6507	—	2	1	no	—
246	#6507	—	2	1	no	—
247	#6507	C₂³	1	1	yes	characteristic
248	C₂×#1143	C₂³	1	1	yes	characteristic
249	#6502	—	2	1	no	—
250	#6502	—	2	1	no	—
251	#6502	—	2	1	no	—
252	#6502	—	2	1	no	—
253	#6501	—	2	1	no	—
254	#6501	—	2	1	no	—
255	#6501	—	2	1	no	—
256	#6501	—	2	1	no	—
257	#6501	C₂³	1	1	yes	characteristic
258	#6501	C₂³	1	1	yes	characteristic
259	#6501	C₂³	1	1	yes	characteristic
260	#6501	C₂³	1	1	yes	characteristic
261	#6501	C₂³	1	1	yes	characteristic
262	#6501	C₂³	1	1	yes	characteristic
263	#6500	—	2	1	no	—
264	#6500	—	2	1	no	—
265	#6500	—	2	1	no	—
266	#6500	—	2	1	no	—
267	#6500	—	2	1	no	—
268	#6500	—	2	1	no	—
269	#6499	—	2	1	no	—
270	#6498	—	2	1	no	—
271	#6498	—	2	1	no	—
272	#6498	—	2	1	no	—
273	#6498	—	2	1	no	—
274	D₄×Dic₇	—	2	1	no	—
275	D₄×Dic₇	C₂³	1	1	yes	characteristic
276	D₄×Dic₇	C₂³	1	1	yes	characteristic
277	D₄×Dic₇	C₂³	1	1	yes	characteristic
278	C₂×#1142	C₂³	1	1	yes	characteristic
279	C₂×#1142	C₂³	1	1	yes	characteristic
280	C₂×#1142	C₂³	1	1	yes	characteristic
281	#6493	—	2	1	no	—
282	#6492	—	2	1	no	—
283	#6492	—	2	1	no	—
284	C₄×C₂²⋊D₇	—	2	1	no	—
285	C₄×C₂²⋊D₇	—	2	1	no	—
286	C₄×C₂²⋊D₇	—	2	1	no	—
287	C₄×C₂²⋊D₇	—	2	1	no	—
288	C₄×C₂²⋊D₇	—	2	1	no	—
289	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
290	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
291	#6489	—	2	1	no	—
292	C₂×#1132	C₂³	1	1	yes	characteristic
293	C₂×#1131	C₂³	1	1	yes	characteristic
294	C₂×#1131	C₂³	1	1	yes	characteristic
295	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
299	#6461	—	2	1	no	—
300	#6461	—	2	1	no	—
301	#6461	—	2	1	no	—
302	#6461	—	2	1	no	—
303	#6461	D₄	1	1	yes	characteristic
304	#6461	D₄	1	1	yes	characteristic
305	#6460	—	2	1	no	—
306	#6460	C₂³	1	1	yes	characteristic
307	#6460	C₂³	1	1	yes	characteristic
308	#6460	C₂³	1	1	yes	characteristic
309	#6459	—	2	1	no	—
310	#6459	—	2	1	no	—
311	#6459	—	2	1	no	—
312	#6459	—	2	1	no	—
313	#6459	—	2	1	no	—
314	#6459	—	2	1	no	—
315	#6459	—	2	1	no	—
316	#6458	D₄	1	1	yes	characteristic
317	#6457	—	2	1	no	—
318	#6457	—	2	1	no	—
319	#6457	—	2	1	no	—
320	#6457	—	2	1	no	—
321	#6457	D₄	1	1	yes	characteristic
322	#6457	D₄	1	1	yes	characteristic
323	#6456	—	2	1	no	—
324	#6456	C₂³	1	1	yes	characteristic
325	#6455	—	2	1	no	—
326	#6455	—	2	1	no	—
327	#6455	C₂³	1	1	yes	characteristic
328	#6455	C₂³	1	1	yes	characteristic
329	#6455	C₂³	1	1	yes	characteristic
330	#6455	C₂³	1	1	yes	characteristic
331	D₇×C₄⋊C₄	—	2	1	no	—
332	D₇×C₄⋊C₄	—	2	1	no	—
333	D₇×C₄⋊C₄	—	2	1	no	—
334	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	#6453	—	2	1	no	—
340	#6453	—	2	1	no	—
341	#6453	—	2	1	no	—
342	#6453	D₄	1	1	yes	characteristic
343	#6453	C₂³	1	1	yes	characteristic
344	#6453	C₂³	1	1	yes	characteristic
345	#6452	—	2	1	no	—
346	#6452	—	2	1	no	—
347	#6452	—	2	1	no	—
348	#6452	—	2	1	no	—
349	#6452	—	2	1	no	—
350	#6452	—	2	1	no	—
351	#6452	—	2	1	no	—
352	#6452	—	2	1	no	—
353	#6452	—	2	1	no	—
354	#6452	—	2	1	no	—
355	#6452	—	2	1	no	—
356	#6451	—	2	1	no	—
357	#6451	C₂³	1	1	yes	characteristic
358	#6450	—	2	1	no	—
359	#6448	—	2	1	no	—
360	#6448	—	2	1	no	—
361	#6447	—	2	1	no	—
362	#6447	—	2	1	no	—
363	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
364	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
365	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
366	D₇×C₂²⋊C₄	—	2	1	no	—
367	D₇×C₂²⋊C₄	—	2	1	no	—
368	D₇×C₂²⋊C₄	—	2	1	no	—
369	#6442	—	2	1	no	—
370	#6442	—	2	1	no	—
371	#6439	—	2	1	no	—
372	#6439	—	2	1	no	—
373	#6439	—	2	1	no	—
374	#6439	—	2	1	no	—
375	C₄×D₂₈	—	2	1	no	—
376	C₄×D₂₈	C₂³	1	1	yes	characteristic
377	C₄×D₂₈	C₂³	1	1	yes	characteristic
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	C₄×D₂₈	C₂³	1	1	yes	characteristic
380	C₄×D₂₈	C₂³	1	1	yes	characteristic
381	C₄×D₂₈	C₂³	1	1	yes	characteristic
382	#6435	—	2	1	no	—
383	#6435	—	2	1	no	—
384	#6435	—	2	1	no	—
385	#6435	C₂³	1	1	yes	characteristic
386	#6435	C₂³	1	1	yes	characteristic
387	C₄²×D₇	C₂³	1	1	yes	characteristic
388	#6433	—	2	1	no	—
389	#6433	—	2	1	no	—
390	#6433	—	2	1	no	—
391	#6433	C₂³	1	1	yes	characteristic
392	#6433	C₂³	1	1	yes	characteristic
393	#6433	C₂³	1	1	yes	characteristic
394	#6433	C₂³	1	1	yes	characteristic
395	#6432	C₂³	1	1	yes	characteristic
396	#6432	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₄	—	2	1	no	—
398	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
401	C₇×#107	C₂³	1	1	yes	characteristic
402	C₇×#107	C₂³	1	1	yes	characteristic
403	C₇×#106	C₂³	1	1	yes	characteristic
404	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×#103	C₂³	1	1	yes	characteristic
408	C₇×#102	C₂³	1	1	yes	characteristic
409	C₇×#102	C₂³	1	1	yes	characteristic
410	C₇×#102	C₂³	1	1	yes	characteristic
411	C₇×#102	C₂³	1	1	yes	characteristic
412	C₇×#102	C₂³	1	1	yes	characteristic
413	C₇×#102	C₂³	1	1	yes	characteristic
414	C₇×#102	C₂³	1	1	yes	characteristic
415	C₇×#102	C₂³	1	1	yes	characteristic
416	C₇×#102	C₂³	1	1	yes	characteristic
417	C₇×#97	C₂³	1	1	yes	characteristic
418	C₇×#97	C₂³	1	1	yes	characteristic
419	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
420	#6409	C₂³	1	1	yes	characteristic
421	#6409	C₂³	1	1	yes	characteristic
422	#6409	C₂³	1	1	yes	characteristic
423	#6406	C₂³	1	1	yes	characteristic
424	#6406	C₂³	1	1	yes	characteristic
425	#6406	C₂³	1	1	yes	characteristic
426	#6406	C₂³	1	1	yes	characteristic
427	#6406	C₂³	1	1	yes	characteristic
428	#6406	C₂³	1	1	yes	characteristic
429	#6406	C₂³	1	1	yes	characteristic
430	#6406	C₂³	1	1	yes	characteristic
431	#6406	C₂³	1	1	yes	characteristic
432	#6395	C₂³	1	1	yes	characteristic
433	#6395	C₂³	1	1	yes	characteristic
434	#6395	C₂³	1	1	yes	characteristic
435	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
436	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
437	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
438	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
439	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
440	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
441	#6392	C₂³	1	1	yes	characteristic
442	#6392	C₂³	1	1	yes	characteristic
443	#6392	C₂³	1	1	yes	characteristic
444	#6392	C₂³	1	1	yes	characteristic
445	#6391	C₂³	1	1	yes	characteristic
446	#6391	C₂³	1	1	yes	characteristic
447	#6391	C₂³	1	1	yes	characteristic
448	#6391	C₂³	1	1	yes	characteristic
449	#6391	C₂³	1	1	yes	characteristic
450	#6390	C₂³	1	1	yes	characteristic
451	#6390	C₂³	1	1	yes	characteristic
452	#6390	C₂³	1	1	yes	characteristic
453	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
456	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
457	#6384	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	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	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	#6377	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3563	—	7	1	no	—
480	#3519	—	7	1	no	—
481	#3388	—	7	1	no	—
482	#3388	—	7	1	no	—
483	#3368	—	7	1	no	—
484	#3368	D₇	1	1	yes	characteristic, complemented
485	#3348	—	7	1	no	—
486	#3348	—	7	1	no	—
487	#3346	—	7	1	no	—
488	#3346	—	7	1	no	—
489	#3337	—	7	1	no	—
490	#3337	—	7	1	no	—
491	#3310	—	7	1	no	—
492	#3310	—	7	1	no	—
493	#3310	—	7	1	no	—
494	#3310	—	7	1	no	—
495	#3295	—	7	1	no	—
496	#3295	—	7	1	no	—
497	#3260	—	7	1	no	—
498	#3260	—	7	1	no	—
499	#3246	—	7	1	no	—
500	#3241	—	7	1	no	—
501	#3241	—	7	1	no	—
502	#3234	—	7	1	no	—
503	#3123	—	7	1	no	—
504	#3123	—	7	1	no	—
505	#3110	—	7	1	no	—
506	#3081	—	7	1	no	—
507	#3081	—	7	1	no	—
508	C₂×#478	—	7	1	no	—
509	#2992	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₂³×D₇	—	2	1	no	—
512	C₂³×D₇	—	2	1	no	—
513	C₇×#41	—	8	2	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
516	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₇×D₄	—	2	1	no	—
518	C₂×C₇×D₄	—	2	1	no	—
519	C₂×C₇×D₄	—	2	1	no	—
520	C₂×C₇×D₄	—	2	1	no	—
521	C₂×C₇×D₄	—	2	1	no	—
522	C₂×C₇×D₄	—	2	1	no	—
523	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
524	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
525	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₇	—	2	1	no	—
527	C₂²×C₄×C₇	—	2	1	no	—
528	C₂²×C₄×C₇	—	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	C₂×C₂²⋊D₇	—	2	1	no	—
536	C₂×C₂²⋊D₇	—	2	1	no	—
537	C₂×C₂²⋊D₇	—	2	1	no	—
538	C₂²×Dic₇	—	2	1	no	—
539	C₂²×Dic₇	—	2	1	no	—
540	C₂²×Dic₇	—	2	1	no	—
541	#1159	—	8	2	no	—
542	D₄×D₇	—	2	2	no	—
543	D₄×D₇	—	2	2	no	—
544	D₄×D₇	—	2	2	no	—
545	D₄×D₇	—	4	1	no	—
546	D₄×D₇	—	4	1	no	—
547	D₄×D₇	—	4	1	no	—
548	D₄×D₇	—	8	2	no	—
549	D₄×D₇	—	8	2	no	—
550	D₄×D₇	—	8	2	no	—
551	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
552	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
553	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
554	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	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	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₁₄	—	2	1	no	—
571	C₂×Dic₁₄	—	2	1	no	—
572	C₂×Dic₁₄	—	2	1	no	—
573	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
574	C₇×SD₁₆	—	4	1	no	—
575	C₇×SD₁₆	—	4	1	no	—
576	C₇×SD₁₆	—	4	1	no	—
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	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
597	C₇×C₂²⋊C₄	—	2	1	no	—
598	C₇×C₂²⋊C₄	—	2	1	no	—
599	C₄²×C₇	—	2	1	no	—
600	C₄²×C₇	—	2	1	no	—
601	C₄²×C₇	—	2	1	no	—
602	C₄²×C₇	C₂⁴	1	1	yes	characteristic
603	C₄²×C₇	C₂⁴	1	1	yes	characteristic
604	C₄²×C₇	C₂⁴	1	1	yes	characteristic
605	C₂²⋊Dic₇	—	2	1	no	—
606	C₂²⋊Dic₇	—	2	1	no	—
607	C₂²⋊Dic₇	—	2	1	no	—
608	C₂²⋊Dic₇	—	2	1	no	—
609	C₂²⋊Dic₇	—	2	1	no	—
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	#1143	—	2	2	no	—
615	#1142	—	4	1	no	—
616	#1142	—	4	1	no	—
617	#1142	—	4	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	—	2	1	no	—
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	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
636	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
637	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
638	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
639	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
640	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
641	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₇	—	2	1	no	—
643	C₄⋊Dic₇	—	2	1	no	—
644	C₄⋊Dic₇	—	2	1	no	—
645	C₄⋊Dic₇	—	2	1	no	—
646	C₄⋊Dic₇	—	2	1	no	—
647	C₄⋊Dic₇	—	2	1	no	—
648	C₄⋊Dic₇	—	2	1	no	—
649	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
675	Dic₇⋊C₄	—	2	1	no	—
676	Dic₇⋊C₄	—	2	1	no	—
677	Dic₇⋊C₄	—	2	1	no	—
678	Dic₇⋊C₄	—	2	1	no	—
679	Dic₇⋊C₄	—	2	1	no	—
680	Dic₇⋊C₄	—	2	1	no	—
681	Dic₇⋊C₄	—	2	1	no	—
682	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
683	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
684	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
685	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₇	—	2	1	no	—
687	C₄×Dic₇	—	2	1	no	—
688	C₄×Dic₇	—	2	1	no	—
689	C₄×Dic₇	—	2	1	no	—
690	C₄×Dic₇	—	2	1	no	—
691	C₄×Dic₇	—	2	1	no	—
692	C₄×Dic₇	—	2	1	no	—
693	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
696	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
697	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
700	#1132	—	2	2	no	—
701	#1131	—	4	1	no	—
702	#1131	—	4	1	no	—
703	C₈×D₇	—	4	1	no	—
704	C₈×D₇	—	4	1	no	—
705	C₈×D₇	—	4	1	no	—
706	C₈×D₇	—	4	1	no	—
707	#564	—	14	1	no	—
708	#563	—	14	1	no	—
709	#557	—	7	1	no	—
710	#557	C₂×D₇	1	1	yes	characteristic, complemented
711	#555	—	7	1	no	—
712	#554	—	7	1	no	—
713	#554	—	7	1	no	—
714	#554	—	7	1	no	—
715	#553	—	7	1	no	—
716	#553	—	7	1	no	—
717	#553	—	14	1	no	—
718	#552	—	7	1	no	—
719	#552	—	7	1	no	—
720	#552	—	7	1	no	—
721	#552	—	7	1	no	—
722	#552	—	14	1	no	—
723	#552	—	14	1	no	—
724	#550	C₂×D₇	1	1	yes	characteristic
725	#546	—	14	1	no	—
726	#546	—	14	1	no	—
727	#546	—	14	1	no	—
728	D₄²	—	7	1	no	—
729	D₄²	—	7	1	no	—
730	D₄²	—	7	1	no	—
731	#544	—	7	1	no	—
732	#544	—	7	1	no	—
733	#544	—	14	1	no	—
734	#541	—	7	1	no	—
735	#541	—	7	1	no	—
736	#541	—	14	1	no	—
737	#541	—	14	1	no	—
738	#540	—	7	1	no	—
739	#540	—	7	1	no	—
740	#539	—	14	1	no	—
741	#538	—	14	1	no	—
742	#538	—	14	1	no	—
743	#533	—	7	1	no	—
744	#532	—	7	1	no	—
745	#529	—	7	1	no	—
746	C₂×#125	—	7	1	no	—
747	#525	—	14	1	no	—
748	C₂×#121	—	14	1	no	—
749	#518	—	7	1	no	—
750	#518	—	7	1	no	—
751	C₂×C₄×D₄	—	7	1	no	—
752	#501	—	7	1	no	—
753	#501	—	7	1	no	—
754	#501	—	7	1	no	—
755	#501	—	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	C₂×D₇	1	1	yes	characteristic, complemented
761	#490	C₂×D₇	1	1	yes	characteristic, complemented
762	#486	—	7	1	no	—
763	#486	C₂×D₇	1	1	yes	characteristic, complemented
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#485	—	7	1	no	—
767	#485	—	7	1	no	—
768	#484	—	7	1	no	—
769	#484	—	7	1	no	—
770	#482	—	7	1	no	—
771	#482	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	—	7	1	no	—
774	#481	—	7	1	no	—
775	#481	—	7	1	no	—
776	#481	—	7	1	no	—
777	#481	—	7	1	no	—
778	#480	—	7	1	no	—
779	#480	—	7	1	no	—
780	#480	—	7	1	no	—
781	#480	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#479	—	7	1	no	—
785	#479	—	7	1	no	—
786	#478	—	7	1	no	—
787	#478	—	7	1	no	—
788	#478	—	7	1	no	—
789	#478	—	7	1	no	—
790	#478	—	7	1	no	—
791	#478	—	7	1	no	—
792	#478	—	7	1	no	—
793	#478	—	7	1	no	—
794	#478	—	7	1	no	—
795	#478	—	7	1	no	—
796	#478	—	7	1	no	—
797	#478	—	7	1	no	—
798	#478	—	7	1	no	—
799	#478	—	7	1	no	—
800	#478	C₂×D₇	1	1	yes	characteristic, complemented
801	#478	C₂×D₇	1	1	yes	characteristic, complemented
802	#476	—	7	1	no	—
803	#476	—	7	1	no	—
804	#476	—	7	1	no	—
805	#476	—	7	1	no	—
806	#475	—	7	1	no	—
807	#475	—	7	1	no	—
808	#474	—	7	1	no	—
809	#474	—	7	1	no	—
810	#474	—	7	1	no	—
811	#474	C₂×D₇	1	1	yes	characteristic, complemented
812	#468	—	7	1	no	—
813	#468	—	7	1	no	—
814	#468	—	7	1	no	—
815	#468	—	7	1	no	—
816	#465	—	7	1	no	—
817	#465	—	7	1	no	—
818	#465	—	7	1	no	—
819	#465	—	7	1	no	—
820	#465	—	7	1	no	—
821	#465	—	7	1	no	—
822	#465	—	7	1	no	—
823	#465	—	7	1	no	—
824	#461	—	7	1	no	—
825	#461	—	7	1	no	—
826	#461	—	7	1	no	—
827	#461	—	7	1	no	—
828	#460	—	7	1	no	—
829	#460	—	7	1	no	—
830	#460	—	7	1	no	—
831	#460	C₂×D₇	1	1	yes	characteristic, complemented
832	#460	C₂×D₇	1	1	yes	characteristic, complemented
833	#460	C₂×D₇	1	1	yes	characteristic, complemented
834	#450	—	7	1	no	—
835	#450	—	7	1	no	—
836	#450	—	7	1	no	—
837	#450	—	7	1	no	—
838	#450	—	7	1	no	—
839	#450	—	7	1	no	—
840	#446	—	7	1	no	—
841	#446	C₂×D₇	1	1	yes	characteristic, complemented
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	—	7	1	no	—
847	#440	—	7	1	no	—
848	#440	C₂×D₇	1	1	yes	characteristic, complemented
849	#440	C₂×D₇	1	1	yes	characteristic, complemented
850	C₄×SD₁₆	—	7	1	no	—
851	C₄×SD₁₆	—	7	1	no	—
852	C₄×SD₁₆	—	7	1	no	—
853	C₄×SD₁₆	C₂×D₇	1	1	yes	characteristic, complemented
854	#435	—	7	1	no	—
855	#435	—	7	1	no	—
856	#435	—	7	1	no	—
857	#435	—	7	1	no	—
858	C₈×D₄	—	7	1	no	—
859	C₈×D₄	—	7	1	no	—
860	#433	—	7	1	no	—
861	#433	—	7	1	no	—
862	#432	—	7	1	no	—
863	#428	—	7	1	no	—
864	#428	—	7	1	no	—
865	#427	—	7	1	no	—
866	#427	—	7	1	no	—
867	C₂×#107	—	7	1	no	—
868	C₂×#106	—	7	1	no	—
869	#424	—	7	1	no	—
870	#424	—	7	1	no	—
871	C₂×C₄⋊C₈	—	7	1	no	—
872	#418	—	7	1	no	—
873	#418	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂×#102	—	7	1	no	—
876	C₂×#102	—	7	1	no	—
877	C₂×#102	—	7	1	no	—
878	C₂³×C₇	—	2	1	no	—
879	C₂³×C₇	—	2	1	no	—
880	C₂³×C₇	—	2	1	no	—
881	C₂²×D₇	—	2	1	no	—
882	C₂²×D₇	—	4	2	no	—
883	C₂²×D₇	—	4	2	no	—
884	C₂²×D₇	—	4	2	no	—
885	C₂²×D₇	—	4	2	no	—
886	C₂²×D₇	—	8	1	no	—
887	C₂²×D₇	—	8	1	no	—
888	C₂²×D₇	—	8	1	no	—
889	C₂²×D₇	—	8	1	no	—
890	C₂²×D₇	—	8	1	no	—
891	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
892	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
894	C₇×Q₈	—	2	1	no	—
895	C₇×Q₈	—	2	1	no	—
896	C₇×Q₈	—	4	1	no	—
897	C₇×Q₈	—	8	1	no	—
898	C₇×D₄	—	2	1	no	—
899	C₇×D₄	—	2	1	no	—
900	C₇×D₄	—	2	1	no	—
901	C₇×D₄	—	2	1	no	—
902	C₇×D₄	—	2	1	no	—
903	C₇×D₄	—	2	1	no	—
904	C₇×D₄	—	4	2	no	—
905	C₇×D₄	—	8	1	no	—
906	C₇×D₄	—	8	1	no	—
907	C₇×D₄	—	8	1	no	—
908	C₇×D₄	—	8	1	no	—
909	C₇×D₄	—	8	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	2	1	no	—
912	C₂×C₄×C₇	—	2	1	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	2	1	no	—
915	C₂×C₄×C₇	—	4	2	no	—
916	C₂×C₄×C₇	—	8	1	no	—
917	C₂×C₄×C₇	—	8	1	no	—
918	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
925	C₂²⋊D₇	—	4	2	no	—
926	C₂²⋊D₇	—	4	2	no	—
927	C₂²⋊D₇	—	4	2	no	—
928	C₂²⋊D₇	—	4	2	no	—
929	C₂²⋊D₇	—	4	2	no	—
930	C₂²⋊D₇	—	8	1	no	—
931	C₂²⋊D₇	—	8	1	no	—
932	C₂²⋊D₇	—	8	1	no	—
933	C₂²⋊D₇	—	8	1	no	—
934	C₂×Dic₇	—	2	1	no	—
935	C₂×Dic₇	—	2	1	no	—
936	C₂×Dic₇	—	2	1	no	—
937	C₂×Dic₇	—	2	1	no	—
938	C₂×Dic₇	—	2	1	no	—
939	C₂×Dic₇	—	2	1	no	—
940	C₂×Dic₇	—	2	1	no	—
941	C₂×Dic₇	—	8	1	no	—
942	C₂×Dic₇	—	8	1	no	—
943	C₂×Dic₇	—	8	1	no	—
944	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
949	D₂₈	—	2	2	no	—
950	D₂₈	—	2	2	no	—
951	D₂₈	—	2	1	no	—
952	D₂₈	—	4	1	no	—
953	D₂₈	2₋¹⁺⁴	1	2	yes	—
954	C₄×D₇	—	2	2	no	—
955	C₄×D₇	—	2	1	no	—
956	C₄×D₇	—	2	1	no	—
957	C₄×D₇	—	2	1	no	—
958	C₄×D₇	—	2	1	no	—
959	C₄×D₇	—	2	1	no	—
960	C₄×D₇	—	2	1	no	—
961	C₄×D₇	—	4	1	no	—
962	C₄×D₇	—	4	2	no	—
963	C₄×D₇	—	4	2	no	—
964	C₄×D₇	—	8	1	no	—
965	C₄×D₇	—	8	1	no	—
966	C₄×D₇	—	8	1	no	—
967	C₄×D₇	—	8	1	no	—
968	C₄×D₇	—	8	1	no	—
969	C₄×D₇	—	8	1	no	—
970	C₄×D₇	—	8	1	no	—
971	Dic₁₄	—	2	1	no	—
972	Dic₁₄	—	2	1	no	—
973	Dic₁₄	—	8	1	no	—
974	Dic₁₄	—	8	1	no	—
975	Dic₁₄	—	8	1	no	—
976	C₇×C₈	—	2	1	no	—
977	C₇×C₈	—	2	1	no	—
978	C₇×C₈	—	2	1	no	—
979	C₇×C₈	—	2	1	no	—
980	C₇⋊C₈	—	2	1	no	—
981	C₇⋊C₈	—	2	1	no	—
982	C₇⋊C₈	—	2	1	no	—
983	C₇⋊C₈	—	2	1	no	—
984	C₂×#41	—	2	1	no	—
985	C₂×#41	—	14	1	no	—
986	C₂²×D₄	—	7	1	no	—
987	C₂²×D₄	—	7	1	no	—
988	C₂²×D₄	—	7	1	no	—
989	C₂²×D₄	—	14	1	no	—
990	C₂²×D₄	—	14	1	no	—
991	C₂²×D₄	—	14	1	no	—
992	C₂³×C₄	—	14	1	no	—
993	C₂×SD₁₆	—	7	1	no	—
994	C₂×SD₁₆	—	7	1	no	—
995	C₂×SD₁₆	—	7	1	no	—
996	C₂×SD₁₆	—	7	1	no	—
997	C₂×SD₁₆	—	7	1	no	—
998	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
999	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
1000	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
1001	C₂×M₁₆	—	7	1	no	—
1002	C₂×M₁₆	—	7	1	no	—
1003	C₂²×C₈	—	7	1	no	—
1004	C₂²×C₈	—	7	1	no	—
1005	C₂²×C₈	—	7	1	no	—
1006	C₂²×C₈	—	7	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	7	1	no	—
1009	C₄⋊Q₈	—	7	1	no	—
1010	C₄⋊Q₈	—	7	1	no	—
1011	C₄⋊Q₈	—	7	1	no	—
1012	C₄⋊Q₈	—	14	1	no	—
1013	C₄⋊Q₈	—	14	1	no	—
1014	C₄⋊Q₈	—	14	1	no	—
1015	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1016	#127	C₂²×D₇	1	1	yes	characteristic
1017	#127	C₂²×D₇	1	1	yes	characteristic
1018	#127	C₂²×D₇	1	1	yes	characteristic
1019	#126	—	7	1	no	—
1020	#126	—	7	1	no	—
1021	#126	—	14	1	no	—
1022	#126	—	14	1	no	—
1023	#126	—	14	1	no	—
1024	#126	—	14	1	no	—
1025	#126	—	14	1	no	—
1026	#126	—	14	1	no	—
1027	#126	—	14	1	no	—
1028	#126	—	14	1	no	—
1029	#126	—	14	1	no	—
1030	#126	—	14	1	no	—
1031	#125	—	2	1	no	—
1032	#125	—	2	1	no	—
1033	#125	—	7	1	no	—
1034	#125	—	7	1	no	—
1035	#125	—	7	1	no	—
1036	#125	—	7	1	no	—
1037	#125	—	7	1	no	—
1038	#125	—	7	1	no	—
1039	#125	—	7	1	no	—
1040	#125	—	14	1	no	—
1041	#125	—	14	1	no	—
1042	#125	—	14	1	no	—
1043	#125	—	14	1	no	—
1044	#125	—	14	1	no	—
1045	#125	—	14	1	no	—
1046	#125	—	14	1	no	—
1047	#125	—	14	1	no	—
1048	#125	—	14	1	no	—
1049	#125	—	14	1	no	—
1050	#125	—	14	1	no	—
1051	#125	—	14	1	no	—
1052	#125	—	14	1	no	—
1053	#125	—	14	1	no	—
1054	#125	—	14	1	no	—
1055	#125	—	14	1	no	—
1056	#125	—	14	1	no	—
1057	#125	C₂²×D₇	1	1	yes	characteristic
1058	#125	C₂²×D₇	1	1	yes	characteristic
1059	#124	—	7	1	no	—
1060	#124	—	14	1	no	—
1061	#124	—	14	1	no	—
1062	#124	—	14	1	no	—
1063	#123	—	7	1	no	—
1064	#123	—	7	1	no	—
1065	#123	—	14	1	no	—
1066	#123	—	14	1	no	—
1067	#123	—	14	1	no	—
1068	#123	—	14	1	no	—
1069	#123	—	14	1	no	—
1070	#123	—	14	1	no	—
1071	#123	—	14	1	no	—
1072	#123	—	14	1	no	—
1073	#123	—	14	1	no	—
1074	#123	—	14	1	no	—
1075	C₂²⋊Q₈	—	7	1	no	—
1076	C₂²⋊Q₈	—	7	1	no	—
1077	C₂²⋊Q₈	—	7	1	no	—
1078	C₂²⋊Q₈	—	7	1	no	—
1079	C₂²⋊Q₈	—	7	1	no	—
1080	C₂²⋊Q₈	—	7	1	no	—
1081	C₂²⋊Q₈	—	7	1	no	—
1082	C₂²⋊Q₈	—	14	1	no	—
1083	C₂²⋊Q₈	—	14	1	no	—
1084	C₂²⋊Q₈	—	14	1	no	—
1085	C₂²⋊Q₈	—	14	1	no	—
1086	C₂²⋊Q₈	—	14	1	no	—
1087	C₂²⋊Q₈	—	14	1	no	—
1088	C₂²⋊Q₈	—	14	1	no	—
1089	C₂²⋊Q₈	—	14	1	no	—
1090	C₂²⋊Q₈	—	14	1	no	—
1091	C₂²⋊Q₈	—	14	1	no	—
1092	C₂²⋊Q₈	—	14	1	no	—
1093	C₂²⋊Q₈	—	14	1	no	—
1094	#121	—	2	1	no	—
1095	#121	—	2	1	no	—
1096	#121	—	2	1	no	—
1097	#121	—	7	1	no	—
1098	#121	—	7	1	no	—
1099	#121	—	7	1	no	—
1100	#121	—	7	1	no	—
1101	#121	—	7	1	no	—
1102	#121	—	7	1	no	—
1103	#121	—	7	1	no	—
1104	#121	—	14	1	no	—
1105	#121	—	14	1	no	—
1106	#121	—	14	1	no	—
1107	#121	—	14	1	no	—
1108	#121	—	14	1	no	—
1109	#121	—	14	1	no	—
1110	#121	—	14	1	no	—
1111	#121	—	14	1	no	—
1112	#121	—	14	1	no	—
1113	#121	—	14	1	no	—
1114	#121	—	14	1	no	—
1115	#120	—	14	1	no	—
1116	#120	—	14	1	no	—
1117	#120	—	14	1	no	—
1118	#120	—	14	1	no	—
1119	#120	—	14	1	no	—
1120	#120	—	14	1	no	—
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	—	7	1	no	—
1123	C₄×Q₈	—	7	1	no	—
1124	C₄×Q₈	—	7	1	no	—
1125	C₄×Q₈	—	14	1	no	—
1126	C₄×Q₈	—	14	1	no	—
1127	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1128	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1129	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1130	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1131	C₄×D₄	—	7	1	no	—
1132	C₄×D₄	—	7	1	no	—
1133	C₄×D₄	—	7	1	no	—
1134	C₄×D₄	—	7	1	no	—
1135	C₄×D₄	—	7	1	no	—
1136	C₄×D₄	—	7	1	no	—
1137	C₄×D₄	—	7	1	no	—
1138	C₄×D₄	—	7	1	no	—
1139	C₄×D₄	—	7	1	no	—
1140	C₄×D₄	—	7	1	no	—
1141	C₄×D₄	—	14	1	no	—
1142	C₄×D₄	—	14	1	no	—
1143	C₄×D₄	—	14	1	no	—
1144	C₄×D₄	—	14	1	no	—
1145	C₄×D₄	—	14	1	no	—
1146	C₄×D₄	—	14	1	no	—
1147	C₄×D₄	—	14	1	no	—
1148	C₄×D₄	—	14	1	no	—
1149	C₄×D₄	—	14	1	no	—
1150	C₄×D₄	—	14	1	no	—
1151	C₄×D₄	—	14	1	no	—
1152	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1153	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1154	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1155	#117	—	7	1	no	—
1156	#117	—	7	1	no	—
1157	#117	—	7	1	no	—
1158	#117	—	7	1	no	—
1159	#117	—	7	1	no	—
1160	#117	—	7	1	no	—
1161	#117	—	14	1	no	—
1162	#117	—	14	1	no	—
1163	#117	—	14	1	no	—
1164	#117	—	14	1	no	—
1165	#117	—	14	1	no	—
1166	#117	—	14	1	no	—
1167	C₂×C₄⋊C₄	—	7	1	no	—
1168	C₂×C₄⋊C₄	—	7	1	no	—
1169	C₂×C₄⋊C₄	—	7	1	no	—
1170	C₂×C₄⋊C₄	—	7	1	no	—
1171	C₂×C₄⋊C₄	—	7	1	no	—
1172	C₂×C₄⋊C₄	—	14	1	no	—
1173	C₂×C₄⋊C₄	—	14	1	no	—
1174	C₂×C₄⋊C₄	—	14	1	no	—
1175	C₂×C₂²⋊C₄	—	14	1	no	—
1176	C₂×C₂²⋊C₄	—	14	1	no	—
1177	C₂×C₂²⋊C₄	—	14	1	no	—
1178	C₂×C₂²⋊C₄	—	14	1	no	—
1179	C₂×C₂²⋊C₄	—	14	1	no	—
1180	C₂×C₄²	—	7	1	no	—
1181	#107	—	7	1	no	—
1182	#107	—	7	1	no	—
1183	#107	—	7	1	no	—
1184	#107	—	7	1	no	—
1185	#107	—	7	1	no	—
1186	#107	—	7	1	no	—
1187	#107	—	7	1	no	—
1188	#107	—	7	1	no	—
1189	#107	—	7	1	no	—
1190	#107	—	7	1	no	—
1191	#107	C₂²×D₇	1	1	yes	characteristic
1192	#107	C₂²×D₇	1	1	yes	characteristic
1193	#106	—	7	1	no	—
1194	#106	—	7	1	no	—
1195	#106	—	7	1	no	—
1196	#106	—	7	1	no	—
1197	#106	—	7	1	no	—
1198	#106	—	7	1	no	—
1199	#106	—	7	1	no	—
1200	#106	—	7	1	no	—
1201	#106	—	7	1	no	—
1202	#106	—	7	1	no	—
1203	#106	—	7	1	no	—
1204	#106	C₂²×D₇	1	1	yes	characteristic
1205	C₄⋊C₈	—	7	1	no	—
1206	C₄⋊C₈	—	7	1	no	—
1207	C₄⋊C₈	—	7	1	no	—
1208	C₄⋊C₈	—	7	1	no	—
1209	C₄⋊C₈	—	7	1	no	—
1210	C₄⋊C₈	—	7	1	no	—
1211	C₄⋊C₈	—	7	1	no	—
1212	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1213	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1215	#103	—	7	1	no	—
1216	#103	—	7	1	no	—
1217	#103	—	7	1	no	—
1218	#103	—	7	1	no	—
1219	#103	—	7	1	no	—
1220	#103	—	7	1	no	—
1221	#103	—	7	1	no	—
1222	#103	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1229	#102	—	7	1	no	—
1230	#102	—	7	1	no	—
1231	#102	—	7	1	no	—
1232	#102	—	7	1	no	—
1233	#102	—	7	1	no	—
1234	#102	—	7	1	no	—
1235	#102	—	7	1	no	—
1236	#102	—	7	1	no	—
1237	#102	—	7	1	no	—
1238	#102	C₂²×D₇	1	1	yes	characteristic
1239	#102	C₂²×D₇	1	1	yes	characteristic
1240	#102	C₂²×D₇	1	1	yes	characteristic
1241	#102	C₂²×D₇	1	1	yes	characteristic
1242	#102	C₂²×D₇	1	1	yes	characteristic
1243	#102	C₂²×D₇	1	1	yes	characteristic
1244	#102	C₂²×D₇	1	1	yes	characteristic
1245	#102	C₂²×D₇	1	1	yes	characteristic
1246	#102	C₂²×D₇	1	1	yes	characteristic
1247	C₂²⋊C₈	—	7	1	no	—
1248	C₂²⋊C₈	—	7	1	no	—
1249	C₂²⋊C₈	—	7	1	no	—
1250	C₂²⋊C₈	—	7	1	no	—
1251	C₂²⋊C₈	—	7	1	no	—
1252	C₂²⋊C₈	—	7	1	no	—
1253	#97	—	7	1	no	—
1254	#97	—	7	1	no	—
1255	#97	C₂²×D₇	1	1	yes	characteristic
1256	#97	C₂²×D₇	1	1	yes	characteristic
1257	C₄×C₈	—	7	1	no	—
1258	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1259	C₂²×C₇	—	4	1	no	—
1260	C₂²×C₇	—	4	1	no	—
1261	C₂²×C₇	—	4	1	no	—
1262	C₂²×C₇	—	4	1	no	—
1263	C₂²×C₇	—	4	1	no	—
1264	C₂²×C₇	—	4	1	no	—
1265	C₂²×C₇	—	4	1	no	—
1266	C₂²×C₇	—	4	1	no	—
1267	C₂²×C₇	—	4	1	no	—
1268	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1269	C₂×D₇	—	2	1	no	—
1270	C₂×D₇	—	2	1	no	—
1271	C₂×D₇	—	2	1	no	—
1272	C₂×D₇	—	2	1	no	—
1273	C₂×D₇	—	2	1	no	—
1274	C₂×D₇	—	2	1	no	—
1275	C₂×D₇	—	2	2	no	—
1276	C₂×D₇	—	2	1	no	—
1277	C₂×D₇	—	2	1	no	—
1278	C₂×D₇	—	4	1	no	—
1279	C₂×D₇	—	4	1	no	—
1280	C₂×D₇	—	8	4	no	—
1281	C₂×D₇	—	16	2	no	—
1282	C₂×D₇	—	16	2	no	—
1283	C₂×D₇	#577	1	2	yes	—
1284	C₄×C₇	—	2	1	no	—
1285	C₄×C₇	—	2	1	no	—
1286	C₄×C₇	—	2	1	no	—
1287	C₄×C₇	—	2	1	no	—
1288	C₄×C₇	—	2	1	no	—
1289	C₄×C₇	—	2	1	no	—
1290	C₄×C₇	—	4	1	no	—
1291	C₄×C₇	—	4	1	no	—
1292	C₄×C₇	—	4	1	no	—
1293	C₄×C₇	—	4	1	no	—
1294	C₄×C₇	—	4	1	no	—
1295	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1296	C₄×C₇	#585	1	1	yes	characteristic
1297	Dic₇	—	2	1	no	—
1298	Dic₇	—	2	1	no	—
1299	Dic₇	—	2	1	no	—
1300	Dic₇	—	2	1	no	—
1301	Dic₇	—	2	1	no	—
1302	Dic₇	—	4	1	no	—
1303	Dic₇	—	4	1	no	—
1304	Dic₇	—	4	1	no	—
1305	Dic₇	—	4	1	no	—
1306	Dic₇	—	4	1	no	—
1307	Dic₇	—	4	1	no	—
1308	Dic₇	—	4	1	no	—
1309	C₂⁴	—	14	1	no	—
1310	C₂⁴	—	14	1	no	—
1311	C₂⁴	—	14	1	no	—
1312	#41	—	8	2	no	—
1313	#41	—	56	2	no	—
1314	C₂×Q₈	—	2	1	no	—
1315	C₂×Q₈	—	7	1	no	—
1316	C₂×Q₈	—	14	1	no	—
1317	C₂×Q₈	—	14	1	no	—
1318	C₂×Q₈	—	14	1	no	—
1319	C₂×Q₈	D₄×D₇	1	1	yes	characteristic
1320	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	7	1	no	—
1328	C₂×D₄	—	7	1	no	—
1329	C₂×D₄	—	7	1	no	—
1330	C₂×D₄	—	7	1	no	—
1331	C₂×D₄	—	14	1	no	—
1332	C₂×D₄	—	14	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	—	14	2	no	—
1335	C₂×D₄	—	14	2	no	—
1336	C₂×D₄	—	14	2	no	—
1337	C₂×D₄	—	14	1	no	—
1338	C₂×D₄	—	14	1	no	—
1339	C₂×D₄	—	14	1	no	—
1340	C₂×D₄	—	14	1	no	—
1341	C₂×D₄	—	14	1	no	—
1342	C₂×D₄	—	14	1	no	—
1343	C₂×D₄	—	28	1	no	—
1344	C₂×D₄	—	28	1	no	—
1345	C₂×D₄	—	28	1	no	—
1346	C₂×D₄	—	56	2	no	—
1347	C₂×D₄	—	56	2	no	—
1348	C₂×D₄	—	56	2	no	—
1349	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1350	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1351	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	7	1	no	—
1356	C₂²×C₄	—	7	1	no	—
1357	C₂²×C₄	—	7	1	no	—
1358	C₂²×C₄	—	7	1	no	—
1359	C₂²×C₄	—	7	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	—	14	1	no	—
1369	C₂²×C₄	—	14	1	no	—
1370	C₂²×C₄	—	14	1	no	—
1371	C₂²×C₄	—	14	1	no	—
1372	C₂²×C₄	—	56	2	no	—
1373	SD₁₆	—	4	1	no	—
1374	SD₁₆	—	4	1	no	—
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	14	2	no	—
1377	SD₁₆	—	14	2	no	—
1378	SD₁₆	—	28	1	no	—
1379	SD₁₆	—	28	1	no	—
1380	SD₁₆	—	28	1	no	—
1381	M₁₆	—	28	1	no	—
1382	M₁₆	—	28	1	no	—
1383	C₂×C₈	—	7	1	no	—
1384	C₂×C₈	—	7	1	no	—
1385	C₂×C₈	—	7	1	no	—
1386	C₂×C₈	—	7	1	no	—
1387	C₂×C₈	—	28	1	no	—
1388	C₂×C₈	—	28	1	no	—
1389	C₂×C₈	—	28	1	no	—
1390	C₂×C₈	—	28	1	no	—
1391	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1392	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1393	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	7	1	no	—
1404	C₄⋊C₄	—	7	1	no	—
1405	C₄⋊C₄	—	7	1	no	—
1406	C₄⋊C₄	—	7	1	no	—
1407	C₄⋊C₄	—	7	1	no	—
1408	C₄⋊C₄	—	7	1	no	—
1409	C₄⋊C₄	—	7	1	no	—
1410	C₄⋊C₄	—	7	1	no	—
1411	C₄⋊C₄	—	7	1	no	—
1412	C₄⋊C₄	—	7	1	no	—
1413	C₄⋊C₄	—	7	1	no	—
1414	C₄⋊C₄	—	7	1	no	—
1415	C₄⋊C₄	—	7	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	—	14	1	no	—
1434	C₄⋊C₄	—	14	1	no	—
1435	C₄⋊C₄	—	14	1	no	—
1436	C₄⋊C₄	—	14	1	no	—
1437	C₄⋊C₄	—	14	1	no	—
1438	C₄⋊C₄	—	14	1	no	—
1439	C₄⋊C₄	—	14	1	no	—
1440	C₄⋊C₄	—	14	1	no	—
1441	C₄⋊C₄	—	14	1	no	—
1442	C₄⋊C₄	—	14	1	no	—
1443	C₄⋊C₄	—	14	1	no	—
1444	C₄⋊C₄	—	14	1	no	—
1445	C₄⋊C₄	—	14	1	no	—
1446	C₄⋊C₄	—	14	1	no	—
1447	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1448	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1449	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1450	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1451	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1452	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1453	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	7	1	no	—
1458	C₂²⋊C₄	—	7	1	no	—
1459	C₂²⋊C₄	—	7	1	no	—
1460	C₂²⋊C₄	—	7	1	no	—
1461	C₂²⋊C₄	—	7	1	no	—
1462	C₂²⋊C₄	—	7	1	no	—
1463	C₂²⋊C₄	—	7	1	no	—
1464	C₂²⋊C₄	—	7	1	no	—
1465	C₂²⋊C₄	—	7	1	no	—
1466	C₂²⋊C₄	—	7	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	—	14	1	no	—
1472	C₂²⋊C₄	—	14	1	no	—
1473	C₂²⋊C₄	—	14	1	no	—
1474	C₂²⋊C₄	—	14	1	no	—
1475	C₂²⋊C₄	—	14	1	no	—
1476	C₂²⋊C₄	—	14	1	no	—
1477	C₂²⋊C₄	—	14	1	no	—
1478	C₂²⋊C₄	—	14	1	no	—
1479	C₂²⋊C₄	—	14	1	no	—
1480	C₂²⋊C₄	—	14	1	no	—
1481	C₂²⋊C₄	—	14	1	no	—
1482	C₂²⋊C₄	—	14	1	no	—
1483	C₂²⋊C₄	—	14	1	no	—
1484	C₂²⋊C₄	—	14	1	no	—
1485	C₂²⋊C₄	—	14	1	no	—
1486	C₂²⋊C₄	—	14	1	no	—
1487	C₂²⋊C₄	—	14	1	no	—
1488	C₂²⋊C₄	—	14	1	no	—
1489	C₂²⋊C₄	—	14	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	7	1	no	—
1494	C₄²	—	7	1	no	—
1495	C₄²	—	7	1	no	—
1496	C₄²	—	14	1	no	—
1497	C₄²	—	14	1	no	—
1498	C₄²	—	14	1	no	—
1499	C₄²	—	14	1	no	—
1500	C₄²	—	14	1	no	—
1501	C₄²	—	14	1	no	—
1502	C₄²	—	14	1	no	—
1503	C₄²	C₂³×D₇	1	1	yes	characteristic
1504	C₄²	C₂³×D₇	1	1	yes	characteristic
1505	C₄²	C₂³×D₇	1	1	yes	characteristic
1506	C₂×C₇	—	8	1	no	—
1507	C₂×C₇	—	8	1	no	—
1508	C₂×C₇	—	8	1	no	—
1509	C₂×C₇	#3489	1	1	yes	characteristic
1510	C₂×C₇	C₂×#577	1	1	yes	characteristic
1511	C₂×C₇	#3585	1	1	yes	characteristic
1512	D₇	—	2	2	no	—
1513	D₇	—	4	1	no	—
1514	D₇	—	4	1	no	—
1515	D₇	—	4	2	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	7	1	no	—
1520	C₂³	—	7	1	no	—
1521	C₂³	—	7	1	no	—
1522	C₂³	—	14	1	no	—
1523	C₂³	—	28	2	no	—
1524	C₂³	—	28	2	no	—
1525	C₂³	—	28	2	no	—
1526	C₂³	—	28	2	no	—
1527	C₂³	—	56	1	no	—
1528	C₂³	—	56	1	no	—
1529	C₂³	—	56	1	no	—
1530	C₂³	—	56	1	no	—
1531	C₂³	—	56	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	14	1	no	—
1537	Q₈	—	14	1	no	—
1538	Q₈	—	56	1	no	—
1539	Q₈	—	56	1	no	—
1540	Q₈	—	56	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	4	2	no	—
1548	D₄	—	7	2	no	—
1549	D₄	—	8	1	no	—
1550	D₄	—	8	1	no	—
1551	D₄	—	8	1	no	—
1552	D₄	—	8	1	no	—
1553	D₄	—	8	1	no	—
1554	D₄	—	14	2	no	—
1555	D₄	—	14	2	no	—
1556	D₄	—	14	1	no	—
1557	D₄	—	28	1	no	—
1558	D₄	—	28	2	no	—
1559	D₄	—	28	2	no	—
1560	D₄	—	28	2	no	—
1561	D₄	—	28	2	no	—
1562	D₄	—	28	2	no	—
1563	D₄	—	56	1	no	—
1564	D₄	—	56	1	no	—
1565	D₄	—	56	1	no	—
1566	D₄	—	56	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	4	2	no	—
1573	C₂×C₄	—	7	1	no	—
1574	C₂×C₄	—	7	1	no	—
1575	C₂×C₄	—	7	1	no	—
1576	C₂×C₄	—	7	1	no	—
1577	C₂×C₄	—	7	1	no	—
1578	C₂×C₄	—	8	1	no	—
1579	C₂×C₄	—	8	1	no	—
1580	C₂×C₄	—	14	2	no	—
1581	C₂×C₄	—	14	1	no	—
1582	C₂×C₄	—	14	1	no	—
1583	C₂×C₄	—	14	1	no	—
1584	C₂×C₄	—	14	1	no	—
1585	C₂×C₄	—	14	1	no	—
1586	C₂×C₄	—	14	1	no	—
1587	C₂×C₄	—	14	1	no	—
1588	C₂×C₄	—	14	1	no	—
1589	C₂×C₄	—	14	1	no	—
1590	C₂×C₄	—	14	1	no	—
1591	C₂×C₄	—	14	1	no	—
1592	C₂×C₄	—	14	1	no	—
1593	C₂×C₄	—	14	1	no	—
1594	C₂×C₄	—	28	1	no	—
1595	C₂×C₄	—	28	2	no	—
1596	C₂×C₄	—	28	2	no	—
1597	C₂×C₄	—	56	1	no	—
1598	C₂×C₄	—	56	1	no	—
1599	C₂×C₄	—	56	1	no	—
1600	C₂×C₄	—	56	1	no	—
1601	C₂×C₄	—	56	1	no	—
1602	C₂×C₄	—	56	1	no	—
1603	C₂×C₄	—	56	1	no	—
1604	C₂×C₄	—	56	1	no	—
1605	C₂×C₄	—	56	1	no	—
1606	C₂×C₄	—	56	1	no	—
1607	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1613	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	14	1	no	—
1619	C₈	—	14	1	no	—
1620	C₈	—	14	1	no	—
1621	C₈	—	14	1	no	—
1622	C₇	#62164	1	1	yes	characteristic, complemented, Sylow
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	7	2	no	—
1633	C₂²	—	14	1	no	—
1634	C₂²	—	14	1	no	—
1635	C₂²	—	14	1	no	—
1636	C₂²	—	14	1	no	—
1637	C₂²	—	14	1	no	—
1638	C₂²	—	14	1	no	—
1639	C₂²	—	14	1	no	—
1640	C₂²	—	14	1	no	—
1641	C₂²	—	14	2	no	—
1642	C₂²	—	28	1	no	—
1643	C₂²	—	28	1	no	—
1644	C₂²	—	56	4	no	—
1645	C₂²	—	112	2	no	—
1646	C₂²	—	112	2	no	—
1647	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	14	1	no	—
1660	C₄	—	14	1	no	—
1661	C₄	—	14	1	no	—
1662	C₄	—	14	1	no	—
1663	C₄	—	14	1	no	—
1664	C₄	—	28	1	no	—
1665	C₄	—	28	1	no	—
1666	C₄	—	28	1	no	—
1667	C₄	—	28	1	no	—
1668	C₄	—	28	1	no	—
1669	C₄	—	28	1	no	—
1670	C₄	—	28	1	no	—
1671	C₄	#90616	1	1	yes	characteristic
1672	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1673	C₂	—	8	1	no	—
1674	C₂	—	8	1	no	—
1675	C₂	—	8	1	no	—
1676	C₂	—	14	2	no	—
1677	C₂	—	28	1	no	—
1678	C₂	—	28	1	no	—
1679	C₂	—	28	2	no	—
1680	C₂	#11743782	1	1	yes	characteristic
1681	C₂	#11744260	1	1	yes	characteristic
1682	C₂	D₇×#577	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×#3368	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743843	C₂
hypercenter	#3368	D₇
hypocenter	C₇	#62164
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3368

Complements

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

N	H ≅ G/N	type
1. #11744106	C₂	semidirect
3. C₇×#3368	C₂	semidirect
4. #11741140	C₂	semidirect
5. #11741032	C₂	semidirect
6. #11739170	C₂	semidirect
7. #11739170	C₂	semidirect
8. #11739168	C₂	semidirect
9. #11739166	C₂	semidirect
10. #11739022	C₂	semidirect
11. #11739020	C₂	semidirect
12. #11738644	C₂	semidirect
13. #11738639	C₂	semidirect
14. #11738613	C₂	semidirect
15. D₇×#478	C₂	semidirect
16. #11738433	C₂	semidirect
17. #11738412	C₂	semidirect
18. #11737842	C₂	semidirect
19. #11737842	C₂	semidirect
20. #11737840	C₂	semidirect
21. #11737813	C₂	semidirect
22. #11737813	C₂	semidirect
23. #11737811	C₂	semidirect
24. #11737423	C₂	semidirect
25. #11737391	C₂	semidirect
26. #11737253	C₂	semidirect
27. #11737252	C₂	semidirect
28. #11737232	C₂	semidirect
29. #11737224	C₂	semidirect
30. #11737134	C₂	semidirect
31. #11737104	C₂	semidirect
32. C₇×#557	C₂²	semidirect
37. #90421	C₂²	semidirect
39. #90420	C₂²	semidirect
47. #90385	C₂²	semidirect
48. #90385	C₂²	semidirect
51. #90380	C₂²	semidirect
52. D₇×#125	C₂²	semidirect
61. #90274	C₂²	semidirect
62. #90274	C₂²	semidirect
64. #90272	C₂²	semidirect
65. #90272	C₂²	semidirect
68. #90270	C₂²	semidirect
69. #90269	C₂²	semidirect
70. #90258	C₂²	semidirect
77. C₇×#490	C₂²	semidirect
78. C₇×#490	C₂²	semidirect
79. C₇×#486	C₂²	semidirect
80. C₇×#478	C₂²	semidirect
81. C₇×#478	C₂²	semidirect
82. C₇×#474	C₂²	semidirect
83. C₇×#460	C₂²	semidirect
84. C₇×#460	C₂²	semidirect
85. C₇×#460	C₂²	semidirect
86. C₇×#446	C₂²	semidirect
87. C₇×#440	C₂²	semidirect
88. C₇×#440	C₂²	semidirect
89. C₄×C₇×SD₁₆	C₂²	semidirect
90. #89946	C₂²	semidirect
91. #89946	C₂²	semidirect
92. #89943	C₂²	semidirect
93. #89943	C₂²	semidirect
94. #89943	C₂²	semidirect
95. #89943	C₂²	semidirect
99. #89934	C₂²	semidirect
100. #89934	C₂²	semidirect
101. #89934	C₂²	semidirect
103. #89852	C₂²	semidirect
104. #89847	C₂²	semidirect
105. #89847	C₂²	semidirect
106. #89847	C₂²	semidirect
107. #89843	C₂²	semidirect
108. #89843	C₂²	semidirect
109. #89842	C₂²	semidirect
112. #89837	C₂²	semidirect
113. #89836	C₂²	semidirect
117. #89796	C₂²	semidirect
118. #89794	C₂²	semidirect
119. #89794	C₂²	semidirect
120. #89792	C₂²	semidirect
121. #89790	C₂²	semidirect
122. #89790	C₂²	semidirect
123. C₄×#1142	C₂²	semidirect
124. #89781	C₂²	semidirect
125. #89781	C₂²	semidirect
126. #89779	C₂²	semidirect
129. #89660	C₂²	semidirect
130. #89656	C₂²	semidirect
131. #89653	C₂²	semidirect
132. #89653	C₂²	semidirect
133. #89652	C₂²	semidirect
134. D₇×#107	C₂²	semidirect
136. #89639	C₂²	semidirect
137. #89632	C₂²	semidirect
138. D₇×#106	C₂²	semidirect
139. #89623	C₂²	semidirect
143. #89611	C₂²	semidirect
144. #89611	C₂²	semidirect
145. #89608	C₂²	semidirect
146. #89608	C₂²	semidirect
147. #89606	C₂²	semidirect
148. D₇×C₄⋊C₈	C₂²	semidirect
149. #89601	C₂²	semidirect
150. #89601	C₂²	semidirect
152. #89587	C₂²	semidirect
153. #89586	C₂²	semidirect
154. #89581	C₂²	semidirect
155. #89556	C₂²	semidirect
156. #89556	C₂²	semidirect
157. #89552	C₂²	semidirect
158. #89552	C₂²	semidirect
159. #89551	C₂²	semidirect
160. #89551	C₂²	semidirect
161. #89550	C₂²	semidirect
162. #89550	C₂²	semidirect
163. #89550	C₂²	semidirect
164. #89550	C₂²	semidirect
165. #89549	C₂²	semidirect
166. #89549	C₂²	semidirect
167. #89549	C₂²	semidirect
168. #89549	C₂²	semidirect
172. #89546	C₂²	semidirect
173. #89546	C₂²	semidirect
174. #89546	C₂²	semidirect
175. #89546	C₂²	semidirect
182. #89538	C₂²	semidirect
183. #89538	C₂²	semidirect
184. #89538	C₂²	semidirect
185. #89535	C₂²	semidirect
186. #89535	C₂²	semidirect
187. #89535	C₂²	semidirect
188. #89533	C₂²	semidirect
189. #89533	C₂²	semidirect
190. #89531	C₂²	semidirect
193. #89481	C₂²	semidirect
194. #89478	C₂²	semidirect
195. #89478	C₂²	semidirect
196. #89477	C₂²	semidirect
197. #89474	C₂²	semidirect
198. #89474	C₂²	semidirect
200. #89462	C₂²	semidirect
201. C₈×D₂₈	C₂²	semidirect
202. #89455	C₂²	semidirect
484. #3368	D₇	semidirect
710. #557	C₂×D₇	semidirect
760. #490	C₂×D₇	semidirect
761. #490	C₂×D₇	semidirect
763. #486	C₂×D₇	semidirect
800. #478	C₂×D₇	semidirect
801. #478	C₂×D₇	semidirect
811. #474	C₂×D₇	semidirect
831. #460	C₂×D₇	semidirect
832. #460	C₂×D₇	semidirect
833. #460	C₂×D₇	semidirect
841. #446	C₂×D₇	semidirect
848. #440	C₂×D₇	semidirect
849. #440	C₂×D₇	semidirect
853. C₄×SD₁₆	C₂×D₇	semidirect
1622. C₇	#62164	semidirect

Maximal subgroups

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

subgroup	index
#11744106	2
#11743843	2
C₇×#3368	2
#11741140	2
#11741032	2
#11739170	2
#11739168	2
#11739166	2
#11739022	2
#11739020	2
#11738644	2
#11738639	2
#11738613	2
D₇×#478	2
#11738433	2
#11738412	2
#11737842	2
#11737840	2
#11737813	2
#11737811	2
#11737423	2
#11737391	2
#11737253	2
#11737252	2
#11737232	2
#11737224	2
#11737134	2
#11737104	2
#62164	7