Subgroups — #14250760

Order 1792.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743937	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743753	C₂	1	1	yes	maximal, characteristic
3	C₇×#3315	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741037	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740958	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739190	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739180	C₂	1	1	yes	maximal, characteristic, complemented
8	#11738979	C₂	1	1	yes	maximal, characteristic, complemented
9	#11738951	C₂	1	1	yes	maximal, characteristic, complemented
10	#11738921	C₂	1	1	yes	maximal, characteristic, complemented
11	#11738906	C₂	1	1	yes	maximal, characteristic, complemented
12	D₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738604	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738364	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738342	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738198	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738194	C₂	1	1	yes	maximal, characteristic, complemented
18	#11737931	C₂	1	1	yes	maximal, characteristic, complemented
19	#11737912	C₂	1	1	yes	maximal, characteristic, complemented
20	#11737697	C₂	1	1	yes	maximal, characteristic, complemented
21	#11737691	C₂	1	1	yes	maximal, characteristic, complemented
22	#11737662	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737661	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737224	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737205	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736914	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736909	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736343	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736317	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736290	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736268	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#552	C₂²	1	1	yes	characteristic, complemented
33	C₇×#547	C₂²	1	1	yes	characteristic
34	#90520	C₂²	1	1	yes	characteristic
35	#90520	C₂²	1	1	yes	characteristic
36	#90518	C₂²	1	1	yes	characteristic
37	#90518	C₂²	1	1	yes	characteristic
38	#90423	C₂²	1	1	yes	characteristic
39	#90419	C₂²	1	1	yes	characteristic
40	#90399	—	2	1	no	—
41	#90392	—	2	1	no	—
42	#90380	—	2	1	no	—
43	D₇×#125	C₂²	1	1	yes	characteristic
44	C₇⋊#564	—	2	1	no	—
45	#90376	C₂²	1	1	yes	characteristic, complemented
46	#90356	—	2	1	no	—
47	#90356	—	2	1	no	—
48	#90351	—	2	1	no	—
49	#90349	—	2	1	no	—
50	#90349	—	2	1	no	—
51	#90342	—	2	1	no	—
52	#90334	C₂²	1	1	yes	characteristic
53	#90334	C₂²	1	1	yes	characteristic
54	#90330	C₂²	1	1	yes	characteristic
55	#90326	C₂²	1	1	yes	characteristic
56	#90326	C₂²	1	1	yes	characteristic
57	#90326	C₂²	1	1	yes	characteristic
58	#90316	C₂²	1	1	yes	characteristic, complemented
59	#90316	C₂²	1	1	yes	characteristic, complemented
60	#90297	—	2	1	no	—
61	#90289	—	2	1	no	—
62	#90269	C₂²	1	1	yes	characteristic
63	#90260	C₂²	1	1	yes	characteristic, complemented
64	#90248	C₂²	1	1	yes	characteristic
65	#90246	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
67	#90232	C₂²	1	1	yes	characteristic, complemented
68	D₄×Dic₁₄	C₂²	1	1	yes	characteristic
69	#90220	—	2	1	no	—
70	#90220	C₂²	1	1	yes	characteristic
71	#90210	C₂²	1	1	yes	characteristic, complemented
72	#90209	—	2	1	no	—
73	#90204	—	2	1	no	—
74	#90202	C₂²	1	1	yes	characteristic
75	C₂×#6460	—	2	1	no	—
76	#90191	C₂²	1	1	yes	characteristic, complemented
77	C₇×#491	C₂²	1	1	yes	characteristic, complemented
78	C₇×#485	C₂²	1	1	yes	characteristic, complemented
79	C₇×#484	C₂²	1	1	yes	characteristic, complemented
80	C₇×#478	C₂²	1	1	yes	characteristic
81	C₇×#470	C₂²	1	1	yes	characteristic, complemented
82	C₇×#467	C₂²	1	1	yes	characteristic, complemented
83	C₇×#462	C₂²	1	1	yes	characteristic, complemented
84	C₇×#452	C₂²	1	1	yes	characteristic
85	C₇×#452	C₂²	1	1	yes	characteristic
86	C₇×#440	C₂²	1	1	yes	characteristic
87	C₇×#435	C₂²	1	1	yes	characteristic, complemented
88	C₇×#417	C₂²	1	1	yes	characteristic
89	C₇×#416	C₂²	1	1	yes	characteristic
90	#90011	C₂²	1	1	yes	characteristic
91	#90011	C₂²	1	1	yes	characteristic
92	#90005	C₂²	1	1	yes	characteristic
93	#90004	C₂²	1	1	yes	characteristic
94	#89960	C₂²	1	1	yes	characteristic
95	#89960	C₂²	1	1	yes	characteristic
96	#89957	C₂²	1	1	yes	characteristic
97	#89957	C₂²	1	1	yes	characteristic
98	#89956	C₂²	1	1	yes	characteristic, complemented
99	Q₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
100	#89954	C₂²	1	1	yes	characteristic, complemented
101	#89954	C₂²	1	1	yes	characteristic, complemented
102	#89941	C₂²	1	1	yes	characteristic
103	#89936	C₂²	1	1	yes	characteristic
104	#89934	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic
106	#89906	C₂²	1	1	yes	characteristic
107	#89899	C₂²	1	1	yes	characteristic
108	#89893	C₂²	1	1	yes	characteristic, complemented
109	#89891	C₂²	1	1	yes	characteristic, complemented
110	#89886	C₂²	1	1	yes	characteristic
111	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
112	C₂×#6392	C₂²	1	1	yes	characteristic, complemented
113	#89874	C₂²	1	1	yes	characteristic, complemented
114	#89862	C₂²	1	1	yes	characteristic, complemented
115	#89854	C₂²	1	1	yes	characteristic, complemented
116	#89838	C₂²	1	1	yes	characteristic
117	#89837	C₂²	1	1	yes	characteristic, complemented
118	#89824	C₂²	1	1	yes	characteristic, complemented
119	#89823	C₂²	1	1	yes	characteristic, complemented
120	#89821	C₂²	1	1	yes	characteristic
121	#89820	C₂²	1	1	yes	characteristic
122	#89817	C₂²	1	1	yes	characteristic, complemented
123	#89816	C₂²	1	1	yes	characteristic, complemented
124	#89816	C₂²	1	1	yes	characteristic, complemented
125	#89815	C₂²	1	1	yes	characteristic, complemented
126	#89798	C₂²	1	1	yes	characteristic
127	#89793	C₂²	1	1	yes	characteristic, complemented
128	#89790	C₂²	1	1	yes	characteristic
129	#89783	C₂²	1	1	yes	characteristic, complemented
130	#89781	C₂²	1	1	yes	characteristic
131	#89775	C₂²	1	1	yes	characteristic
132	#89767	C₂²	1	1	yes	characteristic, complemented
133	#89739	C₂²	1	1	yes	characteristic
134	C₂×#6381	C₂²	1	1	yes	characteristic, complemented
135	#89663	C₂²	1	1	yes	characteristic
136	#89662	C₂²	1	1	yes	characteristic
137	#89656	C₂²	1	1	yes	characteristic
138	D₇×#107	C₂²	1	1	yes	characteristic
139	#89648	C₂²	1	1	yes	characteristic, complemented
140	#89647	C₂²	1	1	yes	characteristic, complemented
141	#89646	C₂²	1	1	yes	characteristic, complemented
142	#89646	C₂²	1	1	yes	characteristic, complemented
143	#89643	C₂²	1	1	yes	characteristic
144	D₇×#106	C₂²	1	1	yes	characteristic
145	#89628	C₂²	1	1	yes	characteristic, complemented
146	#89626	C₂²	1	1	yes	characteristic, complemented
147	#89622	C₂²	1	1	yes	characteristic, complemented
148	#89619	C₂²	1	1	yes	characteristic
149	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
150	#89600	C₂²	1	1	yes	characteristic, complemented
151	#89590	C₂²	1	1	yes	characteristic
152	#89585	C₂²	1	1	yes	characteristic
153	#89585	C₂²	1	1	yes	characteristic
154	#89581	C₂²	1	1	yes	characteristic
155	#89581	C₂²	1	1	yes	characteristic
156	#89581	C₂²	1	1	yes	characteristic
157	#89577	C₂²	1	1	yes	characteristic
158	#89577	C₂²	1	1	yes	characteristic
159	#89572	C₂²	1	1	yes	characteristic
160	#89572	C₂²	1	1	yes	characteristic
161	#89571	C₂²	1	1	yes	characteristic, complemented
162	#89571	C₂²	1	1	yes	characteristic, complemented
163	#89571	C₂²	1	1	yes	characteristic, complemented
164	#89570	C₂²	1	1	yes	characteristic
165	#89570	C₂²	1	1	yes	characteristic
166	#89568	C₂²	1	1	yes	characteristic, complemented
167	#89568	C₂²	1	1	yes	characteristic, complemented
168	#89568	C₂²	1	1	yes	characteristic, complemented
169	#89567	C₂²	1	1	yes	characteristic
170	#89567	C₂²	1	1	yes	characteristic
171	#89566	C₂²	1	1	yes	characteristic, complemented
172	#89566	C₂²	1	1	yes	characteristic, complemented
173	#89566	C₂²	1	1	yes	characteristic, complemented
174	#89566	C₂²	1	1	yes	characteristic, complemented
175	#89566	C₂²	1	1	yes	characteristic, complemented
176	#89563	C₂²	1	1	yes	characteristic, complemented
177	#89562	C₂²	1	1	yes	characteristic, complemented
178	#89561	C₂²	1	1	yes	characteristic, complemented
179	#89548	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
183	#89538	C₂²	1	1	yes	characteristic
184	#89535	C₂²	1	1	yes	characteristic
185	#89535	C₂²	1	1	yes	characteristic
186	#89531	C₂²	1	1	yes	characteristic
187	#89531	C₂²	1	1	yes	characteristic
188	#89531	C₂²	1	1	yes	characteristic
189	#89530	C₂²	1	1	yes	characteristic
190	#89529	C₂²	1	1	yes	characteristic
191	#89509	C₂²	1	1	yes	characteristic
192	#89508	C₂²	1	1	yes	characteristic
193	#89500	C₂²	1	1	yes	characteristic
194	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
195	#89494	C₂²	1	1	yes	characteristic, complemented
196	#89493	C₂²	1	1	yes	characteristic, complemented
197	#89492	C₂²	1	1	yes	characteristic, complemented
198	#89492	C₂²	1	1	yes	characteristic, complemented
199	#89482	C₂²	1	1	yes	characteristic
200	#89477	C₂²	1	1	yes	characteristic
201	#89474	C₂²	1	1	yes	characteristic, complemented
202	#89473	C₂²	1	1	yes	characteristic, complemented
203	#62165	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂×#1159	—	2	1	no	—
207	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇	—	2	1	no	—
209	C₂²×Dic₁₄	—	2	1	no	—
210	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
215	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₇×#126	—	2	1	no	—
217	C₇×#125	—	2	1	no	—
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×#123	—	2	1	no	—
220	C₇×#123	—	2	1	no	—
221	C₇×#123	—	2	1	no	—
222	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₇×#121	—	2	1	no	—
227	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₇×#117	—	2	1	no	—
231	C₇×#117	C₂³	1	1	yes	characteristic
232	C₂×C₇×C₄⋊C₄	—	2	1	no	—
233	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	#6510	C₂³	1	1	yes	characteristic
235	#6510	C₂³	1	1	yes	characteristic
236	#6509	C₂³	1	1	yes	characteristic
237	#6509	C₂³	1	1	yes	characteristic
238	#6509	C₂³	1	1	yes	characteristic
239	Q₈×Dic₇	C₂³	1	1	yes	characteristic
240	Q₈×Dic₇	C₂³	1	1	yes	characteristic
241	Q₈×Dic₇	C₂³	1	1	yes	characteristic
242	Q₈×Dic₇	C₂³	1	1	yes	characteristic
243	Q₈×Dic₇	C₂³	1	1	yes	characteristic
244	Q₈×Dic₇	C₂³	1	1	yes	characteristic
245	#6507	C₂³	1	1	yes	characteristic
246	C₂×#1144	C₂³	1	1	yes	characteristic
247	C₂×#1144	C₂³	1	1	yes	characteristic
248	C₂×#1143	C₂³	1	1	yes	characteristic
249	#6502	—	2	1	no	—
250	#6502	—	2	1	no	—
251	#6501	D₄	1	1	yes	characteristic
252	#6500	—	2	1	no	—
253	#6500	—	2	1	no	—
254	#6499	D₄	1	1	yes	characteristic
255	#6498	—	2	1	no	—
256	D₄×Dic₇	—	2	1	no	—
257	D₄×Dic₇	—	2	1	no	—
258	D₄×Dic₇	—	2	1	no	—
259	D₄×Dic₇	—	2	1	no	—
260	D₄×Dic₇	C₂³	1	1	yes	characteristic
261	D₄×Dic₇	C₂³	1	1	yes	characteristic
262	D₄×Dic₇	C₂³	1	1	yes	characteristic
263	C₂×#1142	C₂³	1	1	yes	characteristic
264	#6493	C₂³	1	1	yes	characteristic
265	#6493	C₂³	1	1	yes	characteristic
266	#6492	—	2	1	no	—
267	#6492	—	2	1	no	—
268	C₄×C₂²⋊D₇	—	2	1	no	—
269	C₄×C₂²⋊D₇	—	2	1	no	—
270	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
271	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
273	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
274	#6489	—	2	1	no	—
275	#6489	—	2	1	no	—
276	#6489	C₂³	1	1	yes	characteristic
277	#6489	C₂³	1	1	yes	characteristic
278	#6489	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₇	—	2	1	no	—
280	C₂×C₄⋊Dic₇	—	2	1	no	—
281	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
284	#6487	—	2	1	no	—
285	#6487	—	2	1	no	—
286	#6487	—	2	1	no	—
287	#6487	—	2	1	no	—
288	#6487	C₂³	1	1	yes	characteristic
289	#6487	C₂³	1	1	yes	characteristic
290	C₂×#1136	C₂³	1	1	yes	characteristic
291	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×#1132	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
295	#6461	—	2	1	no	—
296	#6461	—	2	1	no	—
297	#6461	—	2	1	no	—
298	#6461	—	2	1	no	—
299	#6460	—	2	1	no	—
300	#6460	—	2	1	no	—
301	#6460	—	2	1	no	—
302	#6460	—	2	1	no	—
303	#6460	—	2	1	no	—
304	#6460	—	2	1	no	—
305	#6460	—	2	1	no	—
306	#6460	—	2	1	no	—
307	#6460	D₄	1	1	yes	characteristic
308	#6460	C₂³	1	1	yes	characteristic
309	#6459	—	2	1	no	—
310	#6459	—	2	1	no	—
311	#6456	C₂³	1	1	yes	characteristic
312	#6455	—	2	1	no	—
313	#6455	—	2	1	no	—
314	#6455	—	2	1	no	—
315	D₇×C₄⋊C₄	—	2	1	no	—
316	D₇×C₄⋊C₄	—	2	1	no	—
317	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	#6453	—	2	1	no	—
321	#6453	—	2	1	no	—
322	#6453	—	2	1	no	—
323	#6453	—	2	1	no	—
324	#6453	—	2	1	no	—
325	#6453	D₄	1	1	yes	characteristic
326	#6453	C₂³	1	1	yes	characteristic
327	#6453	C₂³	1	1	yes	characteristic
328	#6453	C₂³	1	1	yes	characteristic
329	#6453	C₂³	1	1	yes	characteristic
330	#6452	—	2	1	no	—
331	#6452	—	2	1	no	—
332	#6452	—	2	1	no	—
333	#6452	—	2	1	no	—
334	#6452	—	2	1	no	—
335	#6452	—	2	1	no	—
336	#6452	—	2	1	no	—
337	#6452	—	2	1	no	—
338	#6452	—	2	1	no	—
339	#6452	—	2	1	no	—
340	#6452	—	2	1	no	—
341	#6452	—	2	1	no	—
342	#6452	—	2	1	no	—
343	#6451	—	2	1	no	—
344	#6451	—	2	1	no	—
345	#6451	—	2	1	no	—
346	#6451	C₂³	1	1	yes	characteristic
347	#6451	C₂³	1	1	yes	characteristic
348	#6451	C₂³	1	1	yes	characteristic
349	#6451	C₂³	1	1	yes	characteristic
350	#6451	C₂³	1	1	yes	characteristic
351	#6450	—	2	1	no	—
352	#6450	—	2	1	no	—
353	#6450	C₂³	1	1	yes	characteristic
354	#6450	C₂³	1	1	yes	characteristic
355	#6449	—	2	1	no	—
356	#6449	—	2	1	no	—
357	#6448	—	2	1	no	—
358	#6448	—	2	1	no	—
359	#6446	—	2	1	no	—
360	#6446	—	2	1	no	—
361	#6446	—	2	1	no	—
362	#6446	—	2	1	no	—
363	#6446	D₄	1	1	yes	characteristic
364	#6446	D₄	1	1	yes	characteristic
365	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
366	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
367	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
368	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
369	D₇×C₂²⋊C₄	—	2	1	no	—
370	#6442	—	2	1	no	—
371	#6442	—	2	1	no	—
372	#6442	—	2	1	no	—
373	#6442	—	2	1	no	—
374	#6442	—	2	1	no	—
375	#6442	—	2	1	no	—
376	#6442	—	2	1	no	—
377	#6442	D₄	1	1	yes	characteristic
378	#6442	D₄	1	1	yes	characteristic
379	#6441	—	2	1	no	—
380	#6441	—	2	1	no	—
381	#6441	—	2	1	no	—
382	#6441	—	2	1	no	—
383	#6441	—	2	1	no	—
384	#6441	—	2	1	no	—
385	#6441	—	2	1	no	—
386	#6440	—	2	1	no	—
387	C₄×D₂₈	C₂³	1	1	yes	characteristic
388	#6435	—	2	1	no	—
389	#6435	—	2	1	no	—
390	C₄²×D₇	C₂³	1	1	yes	characteristic
391	#6433	—	2	1	no	—
392	#6433	—	2	1	no	—
393	#6433	—	2	1	no	—
394	#6433	C₂³	1	1	yes	characteristic
395	#6432	—	2	1	no	—
396	#6432	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₄	—	2	1	no	—
398	C₄×Dic₁₄	—	2	1	no	—
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×#103	C₂³	1	1	yes	characteristic
406	C₇×#103	C₂³	1	1	yes	characteristic
407	C₇×#103	C₂³	1	1	yes	characteristic
408	C₇×#103	C₂³	1	1	yes	characteristic
409	C₇×#103	C₂³	1	1	yes	characteristic
410	C₇×#103	C₂³	1	1	yes	characteristic
411	C₇×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₇×#97	C₂³	1	1	yes	characteristic
418	#6409	C₂³	1	1	yes	characteristic
419	#6409	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	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	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	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	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	#6392	C₂³	1	1	yes	characteristic
438	#6392	C₂³	1	1	yes	characteristic
439	#6392	C₂³	1	1	yes	characteristic
440	#6392	C₂³	1	1	yes	characteristic
441	#6392	C₂³	1	1	yes	characteristic
442	#6392	C₂³	1	1	yes	characteristic
443	#6391	C₂³	1	1	yes	characteristic
444	#6391	C₂³	1	1	yes	characteristic
445	#6391	C₂³	1	1	yes	characteristic
446	#6390	C₂³	1	1	yes	characteristic
447	#6390	C₂³	1	1	yes	characteristic
448	#6390	C₂³	1	1	yes	characteristic
449	#6389	C₂³	1	1	yes	characteristic
450	#6389	C₂³	1	1	yes	characteristic
451	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₇⋊C₈	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	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
458	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
459	C₈×Dic₇	C₂³	1	1	yes	characteristic
460	C₈×Dic₇	C₂³	1	1	yes	characteristic
461	#6384	C₂³	1	1	yes	characteristic
462	#6383	C₂³	1	1	yes	characteristic
463	#6383	C₂³	1	1	yes	characteristic
464	#6383	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#6382	C₂³	1	1	yes	characteristic
468	#6382	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	#6381	C₂³	1	1	yes	characteristic
476	#6381	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	#6377	C₂³	1	1	yes	characteristic
479	#3563	—	7	1	no	—
480	#3520	—	7	1	no	—
481	#3386	—	7	1	no	—
482	#3386	—	7	1	no	—
483	#3377	—	7	1	no	—
484	#3377	—	7	1	no	—
485	#3344	—	7	1	no	—
486	#3344	—	7	1	no	—
487	#3343	—	7	1	no	—
488	#3343	—	7	1	no	—
489	#3338	—	7	1	no	—
490	#3338	—	7	1	no	—
491	#3315	—	7	1	no	—
492	#3315	D₇	1	1	yes	characteristic, complemented
493	#3314	—	7	1	no	—
494	#3314	—	7	1	no	—
495	#3296	—	7	1	no	—
496	#3296	—	7	1	no	—
497	#3258	—	7	1	no	—
498	#3258	—	7	1	no	—
499	#3249	—	7	1	no	—
500	#3243	—	7	1	no	—
501	#3243	—	7	1	no	—
502	#3236	—	7	1	no	—
503	#3120	—	7	1	no	—
504	#3120	—	7	1	no	—
505	#3110	—	7	1	no	—
506	#3083	—	7	1	no	—
507	#3083	—	7	1	no	—
508	C₂×#478	—	7	1	no	—
509	#2992	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₇×#41	—	2	2	no	—
512	C₇×#41	—	2	2	no	—
513	C₇×#41	—	4	1	no	—
514	C₇×#41	—	4	1	no	—
515	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₇×D₄	—	2	1	no	—
519	C₂×C₇×D₄	—	2	1	no	—
520	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
521	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₇	—	2	1	no	—
523	C₂²×C₄×C₇	—	2	1	no	—
524	C₂²×C₄×C₇	—	2	1	no	—
525	C₂²×C₄×C₇	—	2	1	no	—
526	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₇	—	2	1	no	—
534	C₂²×Dic₇	—	2	1	no	—
535	C₂²×Dic₇	—	2	1	no	—
536	C₂²×Dic₇	—	2	1	no	—
537	C₂²×Dic₇	—	2	1	no	—
538	C₂²×Dic₇	—	2	1	no	—
539	#1159	—	8	2	no	—
540	D₄×D₇	—	2	2	no	—
541	D₄×D₇	—	4	1	no	—
542	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₇	—	2	1	no	—
544	C₂×C₄×D₇	—	2	1	no	—
545	C₂×C₄×D₇	—	2	1	no	—
546	C₂×C₄×D₇	—	2	1	no	—
547	C₂×C₄×D₇	—	2	1	no	—
548	C₂×C₄×D₇	—	8	2	no	—
549	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
550	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
552	C₂×Dic₁₄	—	2	1	no	—
553	C₂×Dic₁₄	—	2	1	no	—
554	C₂×Dic₁₄	—	2	1	no	—
555	C₂×Dic₁₄	—	2	1	no	—
556	C₂×Dic₁₄	—	2	1	no	—
557	C₂×Dic₁₄	—	2	1	no	—
558	C₂×Dic₁₄	—	8	2	no	—
559	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
560	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
561	C₇×Q₁₆	—	4	1	no	—
562	C₇×Q₁₆	—	4	1	no	—
563	C₇×SD₁₆	—	2	2	no	—
564	C₇×M₁₆	—	4	1	no	—
565	C₂×C₇×C₈	—	4	1	no	—
566	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
570	C₇×C₄⋊C₄	—	2	1	no	—
571	C₇×C₄⋊C₄	—	2	1	no	—
572	C₇×C₄⋊C₄	—	2	1	no	—
573	C₇×C₄⋊C₄	—	2	1	no	—
574	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	—	2	1	no	—
579	C₇×C₄⋊C₄	—	2	1	no	—
580	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₇×C₂²⋊C₄	—	2	1	no	—
586	C₇×C₂²⋊C₄	—	2	1	no	—
587	C₇×C₂²⋊C₄	—	2	1	no	—
588	C₇×C₂²⋊C₄	—	2	1	no	—
589	C₇×C₂²⋊C₄	—	2	1	no	—
590	C₇×C₂²⋊C₄	—	2	1	no	—
591	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₄²×C₇	—	2	1	no	—
594	C₄²×C₇	—	2	1	no	—
595	C₄²×C₇	C₂⁴	1	1	yes	characteristic
596	C₂²⋊Dic₇	—	2	1	no	—
597	C₂²⋊Dic₇	—	2	1	no	—
598	C₂²⋊Dic₇	—	2	1	no	—
599	C₂²⋊Dic₇	—	2	1	no	—
600	C₂²⋊Dic₇	—	2	1	no	—
601	C₂²⋊Dic₇	—	2	1	no	—
602	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
603	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
604	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
605	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
606	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
607	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
608	#1144	—	4	1	no	—
609	#1144	—	4	1	no	—
610	#1143	—	4	1	no	—
611	#1142	—	2	2	no	—
612	(C₂×D₇)⋊C₄	—	2	1	no	—
613	(C₂×D₇)⋊C₄	—	2	1	no	—
614	(C₂×D₇)⋊C₄	—	2	1	no	—
615	(C₂×D₇)⋊C₄	—	2	1	no	—
616	(C₂×D₇)⋊C₄	—	2	1	no	—
617	(C₂×D₇)⋊C₄	—	2	1	no	—
618	(C₂×D₇)⋊C₄	—	2	1	no	—
619	(C₂×D₇)⋊C₄	—	2	1	no	—
620	(C₂×D₇)⋊C₄	—	2	1	no	—
621	(C₂×D₇)⋊C₄	—	2	1	no	—
622	(C₂×D₇)⋊C₄	—	2	1	no	—
623	(C₂×D₇)⋊C₄	—	2	1	no	—
624	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
625	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₄⋊Dic₇	—	2	1	no	—
627	C₄⋊Dic₇	—	2	1	no	—
628	C₄⋊Dic₇	—	2	1	no	—
629	C₄⋊Dic₇	—	2	1	no	—
630	C₄⋊Dic₇	—	2	1	no	—
631	C₄⋊Dic₇	—	2	1	no	—
632	C₄⋊Dic₇	—	2	1	no	—
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	—	2	1	no	—
635	C₄⋊Dic₇	—	2	1	no	—
636	C₄⋊Dic₇	—	2	1	no	—
637	C₄⋊Dic₇	—	2	1	no	—
638	C₄⋊Dic₇	—	2	1	no	—
639	C₄⋊Dic₇	—	2	1	no	—
640	C₄⋊Dic₇	—	2	1	no	—
641	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
643	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
673	Dic₇⋊C₄	—	2	1	no	—
674	Dic₇⋊C₄	—	2	1	no	—
675	Dic₇⋊C₄	—	2	1	no	—
676	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
677	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
678	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
679	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₇	—	2	1	no	—
681	C₄×Dic₇	—	2	1	no	—
682	C₄×Dic₇	—	2	1	no	—
683	C₄×Dic₇	—	2	1	no	—
684	C₄×Dic₇	—	2	1	no	—
685	C₄×Dic₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
695	#1136	—	4	1	no	—
696	C₂×C₇⋊C₈	—	4	1	no	—
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	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
701	#1132	—	4	1	no	—
702	C₈×D₇	—	4	1	no	—
703	C₈×D₇	—	4	1	no	—
704	#564	—	14	1	no	—
705	#563	—	14	1	no	—
706	#557	—	7	1	no	—
707	#557	—	7	1	no	—
708	#556	—	7	1	no	—
709	#554	—	7	1	no	—
710	#554	—	7	1	no	—
711	#554	—	7	1	no	—
712	#554	—	7	1	no	—
713	#552	—	7	1	no	—
714	#552	—	7	1	no	—
715	#552	—	7	1	no	—
716	#552	—	14	1	no	—
717	#552	—	14	1	no	—
718	#552	—	14	1	no	—
719	#552	C₂×D₇	1	1	yes	characteristic, complemented
720	#551	—	14	1	no	—
721	#551	—	14	1	no	—
722	D₄×Q₈	—	7	1	no	—
723	#548	—	14	1	no	—
724	#547	—	7	1	no	—
725	#547	C₂×D₇	1	1	yes	characteristic
726	#546	—	7	1	no	—
727	#546	—	7	1	no	—
728	#544	—	7	1	no	—
729	#544	—	7	1	no	—
730	#544	—	14	1	no	—
731	#542	—	7	1	no	—
732	#542	—	7	1	no	—
733	#541	—	7	1	no	—
734	#541	—	7	1	no	—
735	#541	—	14	1	no	—
736	#541	—	14	1	no	—
737	#539	—	14	1	no	—
738	#539	—	14	1	no	—
739	#539	—	14	1	no	—
740	#533	—	7	1	no	—
741	#533	—	7	1	no	—
742	#529	—	7	1	no	—
743	C₂×#125	—	7	1	no	—
744	#525	—	14	1	no	—
745	C₂×C₂²⋊Q₈	—	14	1	no	—
746	#520	—	7	1	no	—
747	#520	—	7	1	no	—
748	C₂×C₄×D₄	—	7	1	no	—
749	#501	—	7	1	no	—
750	#501	—	7	1	no	—
751	#501	—	7	1	no	—
752	#501	—	7	1	no	—
753	#500	—	7	1	no	—
754	#500	—	7	1	no	—
755	#491	—	7	1	no	—
756	#491	C₂×D₇	1	1	yes	characteristic, complemented
757	#489	—	7	1	no	—
758	#489	—	7	1	no	—
759	#488	—	7	1	no	—
760	#488	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	C₂×D₇	1	1	yes	characteristic, complemented
763	#484	—	7	1	no	—
764	#484	—	7	1	no	—
765	#484	—	7	1	no	—
766	#484	—	7	1	no	—
767	#484	—	7	1	no	—
768	#484	—	7	1	no	—
769	#484	—	7	1	no	—
770	#484	C₂×D₇	1	1	yes	characteristic, complemented
771	#483	—	7	1	no	—
772	#483	—	7	1	no	—
773	#483	—	7	1	no	—
774	#483	—	7	1	no	—
775	#482	—	7	1	no	—
776	#482	—	7	1	no	—
777	#480	—	7	1	no	—
778	#480	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#479	—	7	1	no	—
785	#478	—	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	C₂×D₇	1	1	yes	characteristic
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#477	—	7	1	no	—
799	#477	—	7	1	no	—
800	#477	—	7	1	no	—
801	#477	—	7	1	no	—
802	#477	—	7	1	no	—
803	#475	—	7	1	no	—
804	#475	—	7	1	no	—
805	#474	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#474	—	7	1	no	—
809	#470	—	7	1	no	—
810	#470	C₂×D₇	1	1	yes	characteristic, complemented
811	#468	—	7	1	no	—
812	#468	—	7	1	no	—
813	#467	—	7	1	no	—
814	#467	—	7	1	no	—
815	#467	—	7	1	no	—
816	#467	—	7	1	no	—
817	#467	—	7	1	no	—
818	#467	C₂×D₇	1	1	yes	characteristic, complemented
819	#465	—	7	1	no	—
820	#465	—	7	1	no	—
821	#464	—	7	1	no	—
822	#464	—	7	1	no	—
823	#464	—	7	1	no	—
824	#464	—	7	1	no	—
825	#462	—	7	1	no	—
826	#462	—	7	1	no	—
827	#462	—	7	1	no	—
828	#462	C₂×D₇	1	1	yes	characteristic, complemented
829	#461	—	7	1	no	—
830	#461	—	7	1	no	—
831	#452	—	7	1	no	—
832	#452	—	7	1	no	—
833	#452	C₂×D₇	1	1	yes	characteristic
834	#452	C₂×D₇	1	1	yes	characteristic
835	#450	—	7	1	no	—
836	#450	—	7	1	no	—
837	#446	—	7	1	no	—
838	#446	—	7	1	no	—
839	#441	—	7	1	no	—
840	#441	—	7	1	no	—
841	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	C₂×D₇	1	1	yes	characteristic
847	C₄×Q₁₆	—	7	1	no	—
848	C₄×Q₁₆	—	7	1	no	—
849	C₄×SD₁₆	—	7	1	no	—
850	C₄×SD₁₆	—	7	1	no	—
851	#435	—	7	1	no	—
852	#435	—	7	1	no	—
853	#435	—	7	1	no	—
854	#435	C₂×D₇	1	1	yes	characteristic, complemented
855	C₈×D₄	—	7	1	no	—
856	C₈×D₄	—	7	1	no	—
857	#433	—	7	1	no	—
858	#433	—	7	1	no	—
859	#432	—	7	1	no	—
860	#428	—	7	1	no	—
861	#428	—	7	1	no	—
862	C₂×#107	—	7	1	no	—
863	C₂×#107	—	7	1	no	—
864	C₂×#107	—	7	1	no	—
865	C₂×#106	—	7	1	no	—
866	#424	—	7	1	no	—
867	#424	—	7	1	no	—
868	C₂×C₄⋊C₈	—	7	1	no	—
869	#417	—	7	1	no	—
870	#417	C₂×D₇	1	1	yes	characteristic
871	#416	—	7	1	no	—
872	#416	C₂×D₇	1	1	yes	characteristic
873	C₂×#102	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂³×C₇	—	2	1	no	—
876	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
877	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
878	C₂²×D₇	—	2	1	no	—
879	C₂²×D₇	—	4	2	no	—
880	C₂²×D₇	—	4	2	no	—
881	C₂²×D₇	—	8	1	no	—
882	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
883	C₇×Q₈	—	2	1	no	—
884	C₇×Q₈	—	2	1	no	—
885	C₇×Q₈	—	2	1	no	—
886	C₇×Q₈	—	2	1	no	—
887	C₇×Q₈	—	2	1	no	—
888	C₇×Q₈	—	2	1	no	—
889	C₇×D₄	—	2	1	no	—
890	C₇×D₄	—	4	1	no	—
891	C₇×D₄	—	4	2	no	—
892	C₇×D₄	—	4	2	no	—
893	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
903	C₂×C₄×C₇	—	2	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	4	2	no	—
906	C₂×C₄×C₇	—	4	2	no	—
907	C₂×C₄×C₇	—	4	2	no	—
908	C₂×C₄×C₇	—	8	1	no	—
909	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
914	C₂²⋊D₇	—	2	2	no	—
915	C₂²⋊D₇	—	2	2	no	—
916	C₂²⋊D₇	—	4	2	no	—
917	C₂²⋊D₇	—	8	1	no	—
918	C₂²⋊D₇	—	8	1	no	—
919	C₂×Dic₇	—	2	1	no	—
920	C₂×Dic₇	—	2	1	no	—
921	C₂×Dic₇	—	2	1	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	—	8	1	no	—
927	C₂×Dic₇	—	8	1	no	—
928	C₂×Dic₇	—	8	1	no	—
929	C₂×Dic₇	—	8	1	no	—
930	C₂×Dic₇	—	8	1	no	—
931	C₂×Dic₇	—	8	1	no	—
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	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
938	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
939	D₂₈	—	2	1	no	—
940	D₂₈	—	2	1	no	—
941	C₄×D₇	—	2	2	no	—
942	C₄×D₇	—	2	1	no	—
943	C₄×D₇	—	2	1	no	—
944	C₄×D₇	—	4	1	no	—
945	C₄×D₇	—	4	2	no	—
946	C₄×D₇	—	4	2	no	—
947	C₄×D₇	—	8	1	no	—
948	C₄×D₇	—	8	1	no	—
949	C₄×D₇	—	8	1	no	—
950	Dic₁₄	—	2	1	no	—
951	Dic₁₄	—	2	1	no	—
952	Dic₁₄	—	4	1	no	—
953	Dic₁₄	—	4	2	no	—
954	Dic₁₄	—	8	1	no	—
955	Dic₁₄	—	8	1	no	—
956	Dic₁₄	—	8	1	no	—
957	Dic₁₄	—	8	1	no	—
958	Dic₁₄	—	8	1	no	—
959	C₇×C₈	—	2	1	no	—
960	C₇×C₈	—	2	1	no	—
961	C₇×C₈	—	2	1	no	—
962	C₇×C₈	—	2	1	no	—
963	C₇⋊C₈	—	2	1	no	—
964	C₇⋊C₈	—	2	1	no	—
965	C₇⋊C₈	—	2	1	no	—
966	C₇⋊C₈	—	2	1	no	—
967	C₂×#41	—	14	1	no	—
968	C₂×#41	C₂²×D₇	1	1	yes	characteristic
969	C₂×#41	C₂²×D₇	1	1	yes	characteristic
970	C₂²×Q₈	—	14	1	no	—
971	C₂²×D₄	—	7	1	no	—
972	C₂³×C₄	—	14	1	no	—
973	C₂×Q₁₆	—	7	1	no	—
974	C₂×Q₁₆	—	7	1	no	—
975	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
976	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
977	C₂×SD₁₆	—	7	1	no	—
978	C₂×SD₁₆	—	7	1	no	—
979	C₂×SD₁₆	—	7	1	no	—
980	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
981	C₂×M₁₆	—	7	1	no	—
982	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
983	C₂²×C₈	—	7	1	no	—
984	C₂²×C₈	—	7	1	no	—
985	C₂²×C₈	—	7	1	no	—
986	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
987	C₄⋊Q₈	—	7	1	no	—
988	C₄⋊Q₈	—	7	1	no	—
989	C₄⋊Q₈	—	7	1	no	—
990	C₄⋊Q₈	—	7	1	no	—
991	C₄⋊Q₈	—	7	1	no	—
992	C₄⋊Q₈	—	7	1	no	—
993	C₄⋊Q₈	—	7	1	no	—
994	C₄⋊Q₈	—	14	1	no	—
995	C₄⋊Q₈	—	14	1	no	—
996	C₄⋊Q₈	—	14	1	no	—
997	C₄⋊Q₈	—	14	1	no	—
998	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
999	#126	—	2	1	no	—
1000	#126	—	7	1	no	—
1001	#126	—	7	1	no	—
1002	#126	—	14	1	no	—
1003	#126	—	14	1	no	—
1004	#126	—	14	1	no	—
1005	#126	—	14	1	no	—
1006	#126	—	14	1	no	—
1007	#126	—	14	1	no	—
1008	#126	—	14	1	no	—
1009	#126	—	14	1	no	—
1010	#126	—	14	1	no	—
1011	#126	—	14	1	no	—
1012	#126	—	14	1	no	—
1013	#125	—	2	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	—	14	1	no	—
1021	#125	—	14	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	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	—	14	1	no	—
1035	#125	—	14	1	no	—
1036	#125	—	14	1	no	—
1037	#125	—	14	1	no	—
1038	#125	—	14	1	no	—
1039	#125	—	14	1	no	—
1040	#125	—	14	1	no	—
1041	#125	C₂²×D₇	1	1	yes	characteristic
1042	#124	—	7	1	no	—
1043	#124	—	7	1	no	—
1044	#124	—	7	1	no	—
1045	#124	—	14	1	no	—
1046	#124	—	14	1	no	—
1047	#123	—	2	1	no	—
1048	#123	—	2	1	no	—
1049	#123	—	2	1	no	—
1050	#123	—	7	1	no	—
1051	#123	—	7	1	no	—
1052	#123	—	14	1	no	—
1053	#123	—	14	1	no	—
1054	#123	—	14	1	no	—
1055	#123	—	14	1	no	—
1056	#123	—	14	1	no	—
1057	#123	—	14	1	no	—
1058	#123	—	14	1	no	—
1059	#123	—	14	1	no	—
1060	#123	—	14	1	no	—
1061	C₂²⋊Q₈	—	7	1	no	—
1062	C₂²⋊Q₈	—	7	1	no	—
1063	C₂²⋊Q₈	—	7	1	no	—
1064	C₂²⋊Q₈	—	7	1	no	—
1065	C₂²⋊Q₈	—	7	1	no	—
1066	C₂²⋊Q₈	—	7	1	no	—
1067	C₂²⋊Q₈	—	7	1	no	—
1068	C₂²⋊Q₈	—	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	C₂²⋊Q₈	—	14	1	no	—
1075	C₂²⋊Q₈	—	14	1	no	—
1076	C₂²⋊Q₈	—	14	1	no	—
1077	C₂²⋊Q₈	—	14	1	no	—
1078	C₂²⋊Q₈	—	14	1	no	—
1079	C₂²⋊Q₈	—	14	1	no	—
1080	C₂²⋊Q₈	—	14	1	no	—
1081	C₂²⋊Q₈	—	14	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	C₂²×D₇	1	1	yes	characteristic
1090	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1091	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1092	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1093	#121	—	2	1	no	—
1094	#121	—	7	1	no	—
1095	#121	—	7	1	no	—
1096	#121	—	7	1	no	—
1097	#121	—	14	1	no	—
1098	#121	—	14	1	no	—
1099	#120	—	14	1	no	—
1100	#120	—	14	1	no	—
1101	C₄×Q₈	—	7	1	no	—
1102	C₄×Q₈	—	7	1	no	—
1103	C₄×Q₈	—	7	1	no	—
1104	C₄×Q₈	—	7	1	no	—
1105	C₄×Q₈	—	7	1	no	—
1106	C₄×Q₈	—	7	1	no	—
1107	C₄×Q₈	—	7	1	no	—
1108	C₄×Q₈	—	7	1	no	—
1109	C₄×Q₈	—	7	1	no	—
1110	C₄×Q₈	—	7	1	no	—
1111	C₄×Q₈	—	14	1	no	—
1112	C₄×Q₈	—	14	1	no	—
1113	C₄×Q₈	—	14	1	no	—
1114	C₄×Q₈	—	14	1	no	—
1115	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1116	C₄×D₄	—	7	1	no	—
1117	C₄×D₄	—	7	1	no	—
1118	C₄×D₄	—	7	1	no	—
1119	C₄×D₄	—	7	1	no	—
1120	C₄×D₄	—	7	1	no	—
1121	C₄×D₄	—	7	1	no	—
1122	C₄×D₄	—	7	1	no	—
1123	C₄×D₄	—	14	1	no	—
1124	C₄×D₄	—	14	1	no	—
1125	C₄×D₄	—	14	1	no	—
1126	C₄×D₄	—	14	1	no	—
1127	C₄×D₄	—	14	1	no	—
1128	C₄×D₄	—	14	1	no	—
1129	C₄×D₄	—	14	1	no	—
1130	C₄×D₄	—	14	1	no	—
1131	C₄×D₄	—	14	1	no	—
1132	C₄×D₄	—	14	1	no	—
1133	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1134	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1135	#117	—	2	1	no	—
1136	#117	—	7	1	no	—
1137	#117	—	7	1	no	—
1138	#117	—	7	1	no	—
1139	#117	—	14	1	no	—
1140	#117	—	14	1	no	—
1141	#117	—	14	1	no	—
1142	#117	—	14	1	no	—
1143	#117	—	14	1	no	—
1144	#117	—	14	1	no	—
1145	#117	—	14	1	no	—
1146	#117	—	14	1	no	—
1147	#117	C₂²×D₇	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	—	2	1	no	—
1149	C₂×C₄⋊C₄	—	7	1	no	—
1150	C₂×C₄⋊C₄	—	7	1	no	—
1151	C₂×C₄⋊C₄	—	7	1	no	—
1152	C₂×C₄⋊C₄	—	7	1	no	—
1153	C₂×C₄⋊C₄	—	7	1	no	—
1154	C₂×C₄⋊C₄	—	7	1	no	—
1155	C₂×C₄⋊C₄	—	14	1	no	—
1156	C₂×C₄⋊C₄	—	14	1	no	—
1157	C₂×C₄⋊C₄	—	14	1	no	—
1158	C₂×C₄⋊C₄	—	14	1	no	—
1159	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	—	14	1	no	—
1161	C₂×C₂²⋊C₄	—	14	1	no	—
1162	C₂×C₂²⋊C₄	—	14	1	no	—
1163	C₂×C₄²	—	7	1	no	—
1164	#107	—	7	1	no	—
1165	#107	—	7	1	no	—
1166	#107	—	7	1	no	—
1167	#107	—	7	1	no	—
1168	#107	—	7	1	no	—
1169	#107	—	7	1	no	—
1170	#107	—	7	1	no	—
1171	#107	—	7	1	no	—
1172	#107	—	7	1	no	—
1173	#107	—	7	1	no	—
1174	#107	—	7	1	no	—
1175	#107	—	7	1	no	—
1176	#107	—	7	1	no	—
1177	#107	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1188	C₄⋊C₈	—	7	1	no	—
1189	C₄⋊C₈	—	7	1	no	—
1190	C₄⋊C₈	—	7	1	no	—
1191	C₄⋊C₈	—	7	1	no	—
1192	C₄⋊C₈	—	7	1	no	—
1193	C₄⋊C₈	—	7	1	no	—
1194	C₄⋊C₈	—	7	1	no	—
1195	C₄⋊C₈	—	7	1	no	—
1196	C₄⋊C₈	—	7	1	no	—
1197	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1198	#103	—	7	1	no	—
1199	#103	—	7	1	no	—
1200	#103	—	7	1	no	—
1201	#103	—	7	1	no	—
1202	#103	—	7	1	no	—
1203	#103	—	7	1	no	—
1204	#103	—	7	1	no	—
1205	#103	—	7	1	no	—
1206	#103	—	7	1	no	—
1207	#103	—	7	1	no	—
1208	#103	—	7	1	no	—
1209	#103	—	7	1	no	—
1210	#103	—	7	1	no	—
1211	#103	C₂²×D₇	1	1	yes	characteristic
1212	#103	C₂²×D₇	1	1	yes	characteristic
1213	#103	C₂²×D₇	1	1	yes	characteristic
1214	#103	C₂²×D₇	1	1	yes	characteristic
1215	#103	C₂²×D₇	1	1	yes	characteristic
1216	#103	C₂²×D₇	1	1	yes	characteristic
1217	#103	C₂²×D₇	1	1	yes	characteristic
1218	#102	—	7	1	no	—
1219	#102	—	7	1	no	—
1220	#102	—	7	1	no	—
1221	#102	—	7	1	no	—
1222	#102	—	7	1	no	—
1223	#102	—	7	1	no	—
1224	#102	—	7	1	no	—
1225	#102	—	7	1	no	—
1226	#102	—	7	1	no	—
1227	#102	C₂²×D₇	1	1	yes	characteristic
1228	#102	C₂²×D₇	1	1	yes	characteristic
1229	#102	C₂²×D₇	1	1	yes	characteristic
1230	C₂²⋊C₈	—	7	1	no	—
1231	C₂²⋊C₈	—	7	1	no	—
1232	C₂²⋊C₈	—	7	1	no	—
1233	C₂²⋊C₈	—	7	1	no	—
1234	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1235	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1236	#97	—	7	1	no	—
1237	#97	—	7	1	no	—
1238	#97	—	7	1	no	—
1239	#97	C₂²×D₇	1	1	yes	characteristic
1240	C₄×C₈	—	7	1	no	—
1241	C₄×C₈	—	7	1	no	—
1242	C₂²×C₇	—	2	1	no	—
1243	C₂²×C₇	—	2	1	no	—
1244	C₂²×C₇	—	2	2	no	—
1245	C₂²×C₇	—	2	1	no	—
1246	C₂²×C₇	—	2	1	no	—
1247	C₂²×C₇	—	2	1	no	—
1248	C₂²×C₇	—	2	1	no	—
1249	C₂²×C₇	—	4	1	no	—
1250	C₂²×C₇	—	4	1	no	—
1251	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1252	C₂×D₇	—	2	1	no	—
1253	C₂×D₇	—	2	1	no	—
1254	C₂×D₇	—	4	1	no	—
1255	C₂×D₇	—	4	1	no	—
1256	C₂×D₇	—	4	1	no	—
1257	C₂×D₇	—	8	4	no	—
1258	C₂×D₇	#578	1	2	yes	—
1259	C₄×C₇	—	2	1	no	—
1260	C₄×C₇	—	2	1	no	—
1261	C₄×C₇	—	2	1	no	—
1262	C₄×C₇	—	2	1	no	—
1263	C₄×C₇	—	4	1	no	—
1264	C₄×C₇	—	4	1	no	—
1265	C₄×C₇	—	4	1	no	—
1266	C₄×C₇	—	4	1	no	—
1267	C₄×C₇	—	4	1	no	—
1268	C₄×C₇	—	4	1	no	—
1269	C₄×C₇	—	4	1	no	—
1270	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1271	C₄×C₇	#585	1	1	yes	characteristic
1272	Dic₇	—	2	1	no	—
1273	Dic₇	—	2	1	no	—
1274	Dic₇	—	2	1	no	—
1275	Dic₇	—	2	1	no	—
1276	Dic₇	—	2	1	no	—
1277	Dic₇	—	2	1	no	—
1278	Dic₇	—	2	1	no	—
1279	Dic₇	—	4	1	no	—
1280	Dic₇	—	4	1	no	—
1281	Dic₇	—	4	1	no	—
1282	Dic₇	—	4	1	no	—
1283	Dic₇	—	4	1	no	—
1284	Dic₇	—	4	1	no	—
1285	Dic₇	—	4	1	no	—
1286	C₂⁴	—	14	1	no	—
1287	#41	—	2	2	no	—
1288	#41	—	2	2	no	—
1289	#41	—	4	1	no	—
1290	#41	—	4	1	no	—
1291	#41	—	56	2	no	—
1292	C₂×Q₈	—	7	1	no	—
1293	C₂×Q₈	—	7	1	no	—
1294	C₂×Q₈	—	14	1	no	—
1295	C₂×Q₈	—	14	1	no	—
1296	C₂×Q₈	—	14	1	no	—
1297	C₂×Q₈	—	14	1	no	—
1298	C₂×Q₈	—	14	1	no	—
1299	C₂×Q₈	—	14	1	no	—
1300	C₂×Q₈	—	56	2	no	—
1301	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1302	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1303	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	2	1	no	—
1306	C₂×D₄	—	7	1	no	—
1307	C₂×D₄	—	7	1	no	—
1308	C₂×D₄	—	7	1	no	—
1309	C₂×D₄	—	14	1	no	—
1310	C₂×D₄	—	14	2	no	—
1311	C₂×D₄	—	14	1	no	—
1312	C₂×D₄	—	14	1	no	—
1313	C₂×D₄	—	28	1	no	—
1314	C₂×D₄	D₄×D₇	1	1	yes	characteristic
1315	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	7	1	no	—
1321	C₂²×C₄	—	7	1	no	—
1322	C₂²×C₄	—	7	1	no	—
1323	C₂²×C₄	—	14	1	no	—
1324	C₂²×C₄	—	14	1	no	—
1325	C₂²×C₄	—	14	1	no	—
1326	C₂²×C₄	—	14	1	no	—
1327	C₂²×C₄	—	14	1	no	—
1328	C₂²×C₄	—	14	1	no	—
1329	C₂²×C₄	—	14	1	no	—
1330	C₂²×C₄	—	14	1	no	—
1331	C₂²×C₄	—	14	1	no	—
1332	C₂²×C₄	—	14	1	no	—
1333	C₂²×C₄	—	14	1	no	—
1334	C₂²×C₄	—	56	2	no	—
1335	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1336	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1337	Q₁₆	—	4	1	no	—
1338	Q₁₆	—	4	1	no	—
1339	Q₁₆	—	28	1	no	—
1340	Q₁₆	—	28	1	no	—
1341	SD₁₆	—	2	2	no	—
1342	SD₁₆	—	14	2	no	—
1343	SD₁₆	—	28	1	no	—
1344	SD₁₆	—	28	1	no	—
1345	M₁₆	—	4	1	no	—
1346	M₁₆	—	28	1	no	—
1347	C₂×C₈	—	4	1	no	—
1348	C₂×C₈	—	7	1	no	—
1349	C₂×C₈	—	7	1	no	—
1350	C₂×C₈	—	7	1	no	—
1351	C₂×C₈	—	7	1	no	—
1352	C₂×C₈	—	28	1	no	—
1353	C₂×C₈	—	28	1	no	—
1354	C₂×C₈	—	28	1	no	—
1355	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	7	1	no	—
1370	C₄⋊C₄	—	7	1	no	—
1371	C₄⋊C₄	—	7	1	no	—
1372	C₄⋊C₄	—	7	1	no	—
1373	C₄⋊C₄	—	7	1	no	—
1374	C₄⋊C₄	—	7	1	no	—
1375	C₄⋊C₄	—	7	1	no	—
1376	C₄⋊C₄	—	7	1	no	—
1377	C₄⋊C₄	—	7	1	no	—
1378	C₄⋊C₄	—	7	1	no	—
1379	C₄⋊C₄	—	7	1	no	—
1380	C₄⋊C₄	—	7	1	no	—
1381	C₄⋊C₄	—	7	1	no	—
1382	C₄⋊C₄	—	7	1	no	—
1383	C₄⋊C₄	—	7	1	no	—
1384	C₄⋊C₄	—	14	1	no	—
1385	C₄⋊C₄	—	14	1	no	—
1386	C₄⋊C₄	—	14	1	no	—
1387	C₄⋊C₄	—	14	1	no	—
1388	C₄⋊C₄	—	14	1	no	—
1389	C₄⋊C₄	—	14	1	no	—
1390	C₄⋊C₄	—	14	1	no	—
1391	C₄⋊C₄	—	14	1	no	—
1392	C₄⋊C₄	—	14	1	no	—
1393	C₄⋊C₄	—	14	1	no	—
1394	C₄⋊C₄	—	14	1	no	—
1395	C₄⋊C₄	—	14	1	no	—
1396	C₄⋊C₄	—	14	1	no	—
1397	C₄⋊C₄	—	14	1	no	—
1398	C₄⋊C₄	—	14	1	no	—
1399	C₄⋊C₄	—	14	1	no	—
1400	C₄⋊C₄	—	14	1	no	—
1401	C₄⋊C₄	—	14	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	—	14	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	—	14	1	no	—
1408	C₄⋊C₄	—	14	1	no	—
1409	C₄⋊C₄	—	14	1	no	—
1410	C₄⋊C₄	—	14	1	no	—
1411	C₄⋊C₄	—	14	1	no	—
1412	C₄⋊C₄	—	14	1	no	—
1413	C₄⋊C₄	—	14	1	no	—
1414	C₄⋊C₄	—	14	1	no	—
1415	C₄⋊C₄	—	14	1	no	—
1416	C₄⋊C₄	—	14	1	no	—
1417	C₄⋊C₄	—	14	1	no	—
1418	C₄⋊C₄	—	14	1	no	—
1419	C₄⋊C₄	—	14	1	no	—
1420	C₄⋊C₄	—	14	1	no	—
1421	C₄⋊C₄	—	14	1	no	—
1422	C₄⋊C₄	—	14	1	no	—
1423	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1424	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1425	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	7	1	no	—
1435	C₂²⋊C₄	—	7	1	no	—
1436	C₂²⋊C₄	—	7	1	no	—
1437	C₂²⋊C₄	—	7	1	no	—
1438	C₂²⋊C₄	—	7	1	no	—
1439	C₂²⋊C₄	—	7	1	no	—
1440	C₂²⋊C₄	—	7	1	no	—
1441	C₂²⋊C₄	—	7	1	no	—
1442	C₂²⋊C₄	—	14	1	no	—
1443	C₂²⋊C₄	—	14	1	no	—
1444	C₂²⋊C₄	—	14	1	no	—
1445	C₂²⋊C₄	—	14	1	no	—
1446	C₂²⋊C₄	—	14	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	C₂²⋊C₄	—	14	1	no	—
1449	C₂²⋊C₄	—	14	1	no	—
1450	C₂²⋊C₄	—	14	1	no	—
1451	C₂²⋊C₄	—	14	1	no	—
1452	C₂²⋊C₄	—	14	1	no	—
1453	C₂²⋊C₄	—	14	1	no	—
1454	C₂²⋊C₄	—	14	1	no	—
1455	C₂²⋊C₄	—	14	1	no	—
1456	C₂²⋊C₄	—	14	1	no	—
1457	C₂²⋊C₄	—	14	1	no	—
1458	C₂²⋊C₄	—	14	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1461	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	7	1	no	—
1465	C₄²	—	7	1	no	—
1466	C₄²	—	7	1	no	—
1467	C₄²	—	7	1	no	—
1468	C₄²	—	7	1	no	—
1469	C₄²	—	14	1	no	—
1470	C₄²	—	14	1	no	—
1471	C₄²	—	14	1	no	—
1472	C₄²	—	14	1	no	—
1473	C₄²	—	14	1	no	—
1474	C₄²	—	14	1	no	—
1475	C₄²	—	14	1	no	—
1476	C₄²	—	14	1	no	—
1477	C₄²	—	14	1	no	—
1478	C₄²	—	14	1	no	—
1479	C₄²	C₂³×D₇	1	1	yes	characteristic
1480	C₂×C₇	—	4	2	no	—
1481	C₂×C₇	—	4	1	no	—
1482	C₂×C₇	—	4	1	no	—
1483	C₂×C₇	#3489	1	1	yes	characteristic
1484	C₂×C₇	C₂×#578	1	1	yes	characteristic
1485	C₂×C₇	#3585	1	1	yes	characteristic
1486	D₇	—	2	2	no	—
1487	D₇	—	8	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	7	1	no	—
1490	C₂³	—	14	1	no	—
1491	C₂³	—	28	2	no	—
1492	C₂³	—	28	2	no	—
1493	C₂³	—	56	1	no	—
1494	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1495	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	2	1	no	—
1501	Q₈	—	2	1	no	—
1502	Q₈	—	14	1	no	—
1503	Q₈	—	14	1	no	—
1504	Q₈	—	28	1	no	—
1505	Q₈	—	28	2	no	—
1506	Q₈	—	56	1	no	—
1507	Q₈	—	56	1	no	—
1508	Q₈	—	56	1	no	—
1509	Q₈	—	56	1	no	—
1510	Q₈	—	56	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	4	1	no	—
1513	D₄	—	4	2	no	—
1514	D₄	—	4	2	no	—
1515	D₄	—	14	2	no	—
1516	D₄	—	14	2	no	—
1517	D₄	—	14	1	no	—
1518	D₄	—	14	1	no	—
1519	D₄	—	28	2	no	—
1520	D₄	—	56	1	no	—
1521	D₄	—	56	1	no	—
1522	D₄	#6554	1	2	yes	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	4	2	no	—
1535	C₂×C₄	—	4	2	no	—
1536	C₂×C₄	—	4	2	no	—
1537	C₂×C₄	—	7	1	no	—
1538	C₂×C₄	—	7	1	no	—
1539	C₂×C₄	—	7	1	no	—
1540	C₂×C₄	—	7	1	no	—
1541	C₂×C₄	—	7	1	no	—
1542	C₂×C₄	—	7	1	no	—
1543	C₂×C₄	—	7	1	no	—
1544	C₂×C₄	—	8	1	no	—
1545	C₂×C₄	—	14	2	no	—
1546	C₂×C₄	—	14	1	no	—
1547	C₂×C₄	—	14	1	no	—
1548	C₂×C₄	—	14	1	no	—
1549	C₂×C₄	—	14	1	no	—
1550	C₂×C₄	—	14	1	no	—
1551	C₂×C₄	—	14	1	no	—
1552	C₂×C₄	—	14	1	no	—
1553	C₂×C₄	—	14	1	no	—
1554	C₂×C₄	—	14	1	no	—
1555	C₂×C₄	—	28	1	no	—
1556	C₂×C₄	—	28	2	no	—
1557	C₂×C₄	—	28	2	no	—
1558	C₂×C₄	—	56	1	no	—
1559	C₂×C₄	—	56	1	no	—
1560	C₂×C₄	—	56	1	no	—
1561	C₂×C₄	—	56	1	no	—
1562	C₂×C₄	—	56	1	no	—
1563	C₂×C₄	—	56	1	no	—
1564	C₂×C₄	—	56	1	no	—
1565	C₂×C₄	—	56	1	no	—
1566	C₂×C₄	—	56	1	no	—
1567	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1569	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1570	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1571	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	14	1	no	—
1577	C₈	—	14	1	no	—
1578	C₈	—	14	1	no	—
1579	C₈	—	14	1	no	—
1580	C₇	#62165	1	1	yes	characteristic, complemented, Sylow
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	7	2	no	—
1591	C₂²	—	14	1	no	—
1592	C₂²	—	14	1	no	—
1593	C₂²	—	28	1	no	—
1594	C₂²	—	28	1	no	—
1595	C₂²	—	28	1	no	—
1596	C₂²	—	56	4	no	—
1597	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	14	1	no	—
1610	C₄	—	14	1	no	—
1611	C₄	—	14	1	no	—
1612	C₄	—	14	1	no	—
1613	C₄	—	14	1	no	—
1614	C₄	—	14	1	no	—
1615	C₄	—	14	1	no	—
1616	C₄	—	28	1	no	—
1617	C₄	—	28	1	no	—
1618	C₄	—	28	1	no	—
1619	C₄	—	28	1	no	—
1620	C₄	—	28	1	no	—
1621	C₄	—	28	1	no	—
1622	C₄	—	28	1	no	—
1623	C₄	C₂×#6554	1	1	yes	characteristic
1624	C₄	#90618	1	1	yes	characteristic
1625	C₂	—	4	1	no	—
1626	C₂	—	4	1	no	—
1627	C₂	—	4	2	no	—
1628	C₂	—	14	2	no	—
1629	C₂	—	56	1	no	—
1630	C₂	#11743698	1	1	yes	characteristic
1631	C₂	#11744268	1	1	yes	characteristic
1632	C₂	D₇×#578	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×#3315	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743753	C₂
hypercenter	#3315	D₇
hypocenter	C₇	#62165
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3315

Complements

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

N	H ≅ G/N	type
1. #11743937	C₂	semidirect
3. C₇×#3315	C₂	semidirect
4. #11741037	C₂	semidirect
5. #11740958	C₂	semidirect
6. #11739190	C₂	semidirect
7. #11739180	C₂	semidirect
8. #11738979	C₂	semidirect
9. #11738951	C₂	semidirect
10. #11738921	C₂	semidirect
11. #11738906	C₂	semidirect
12. D₇×#478	C₂	semidirect
13. #11738604	C₂	semidirect
14. #11738364	C₂	semidirect
15. #11738342	C₂	semidirect
16. #11738198	C₂	semidirect
17. #11738194	C₂	semidirect
18. #11737931	C₂	semidirect
19. #11737912	C₂	semidirect
20. #11737697	C₂	semidirect
21. #11737691	C₂	semidirect
22. #11737662	C₂	semidirect
23. #11737661	C₂	semidirect
24. #11737224	C₂	semidirect
25. #11737205	C₂	semidirect
26. #11736914	C₂	semidirect
27. #11736909	C₂	semidirect
28. #11736343	C₂	semidirect
29. #11736317	C₂	semidirect
30. #11736290	C₂	semidirect
31. #11736268	C₂	semidirect
32. C₇×#552	C₂²	semidirect
45. #90376	C₂²	semidirect
58. #90316	C₂²	semidirect
59. #90316	C₂²	semidirect
63. #90260	C₂²	semidirect
67. #90232	C₂²	semidirect
71. #90210	C₂²	semidirect
76. #90191	C₂²	semidirect
77. C₇×#491	C₂²	semidirect
78. C₇×#485	C₂²	semidirect
79. C₇×#484	C₂²	semidirect
81. C₇×#470	C₂²	semidirect
82. C₇×#467	C₂²	semidirect
83. C₇×#462	C₂²	semidirect
87. C₇×#435	C₂²	semidirect
98. #89956	C₂²	semidirect
99. Q₁₆×Dic₇	C₂²	semidirect
100. #89954	C₂²	semidirect
101. #89954	C₂²	semidirect
108. #89893	C₂²	semidirect
109. #89891	C₂²	semidirect
112. C₂×#6392	C₂²	semidirect
113. #89874	C₂²	semidirect
114. #89862	C₂²	semidirect
115. #89854	C₂²	semidirect
117. #89837	C₂²	semidirect
118. #89824	C₂²	semidirect
119. #89823	C₂²	semidirect
122. #89817	C₂²	semidirect
123. #89816	C₂²	semidirect
124. #89816	C₂²	semidirect
125. #89815	C₂²	semidirect
127. #89793	C₂²	semidirect
129. #89783	C₂²	semidirect
132. #89767	C₂²	semidirect
134. C₂×#6381	C₂²	semidirect
139. #89648	C₂²	semidirect
140. #89647	C₂²	semidirect
141. #89646	C₂²	semidirect
142. #89646	C₂²	semidirect
145. #89628	C₂²	semidirect
146. #89626	C₂²	semidirect
147. #89622	C₂²	semidirect
150. #89600	C₂²	semidirect
161. #89571	C₂²	semidirect
162. #89571	C₂²	semidirect
163. #89571	C₂²	semidirect
166. #89568	C₂²	semidirect
167. #89568	C₂²	semidirect
168. #89568	C₂²	semidirect
171. #89566	C₂²	semidirect
172. #89566	C₂²	semidirect
173. #89566	C₂²	semidirect
174. #89566	C₂²	semidirect
175. #89566	C₂²	semidirect
176. #89563	C₂²	semidirect
177. #89562	C₂²	semidirect
178. #89561	C₂²	semidirect
195. #89494	C₂²	semidirect
196. #89493	C₂²	semidirect
197. #89492	C₂²	semidirect
198. #89492	C₂²	semidirect
201. #89474	C₂²	semidirect
202. #89473	C₂²	semidirect
492. #3315	D₇	semidirect
719. #552	C₂×D₇	semidirect
756. #491	C₂×D₇	semidirect
762. #485	C₂×D₇	semidirect
770. #484	C₂×D₇	semidirect
810. #470	C₂×D₇	semidirect
818. #467	C₂×D₇	semidirect
828. #462	C₂×D₇	semidirect
854. #435	C₂×D₇	semidirect
1580. C₇	#62165	semidirect

Maximal subgroups

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

subgroup	index
#11743937	2
#11743753	2
C₇×#3315	2
#11741037	2
#11740958	2
#11739190	2
#11739180	2
#11738979	2
#11738951	2
#11738921	2
#11738906	2
D₇×#478	2
#11738604	2
#11738364	2
#11738342	2
#11738198	2
#11738194	2
#11737931	2
#11737912	2
#11737697	2
#11737691	2
#11737662	2
#11737661	2
#11737224	2
#11737205	2
#11736914	2
#11736909	2
#11736343	2
#11736317	2
#11736290	2
#11736268	2
#62165	7