Subgroups — #14250486

Order 1792.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11744121	C₂	1	1	yes	maximal, characteristic, complemented
2	#11744115	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741159	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741151	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739147	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739141	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739139	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739135	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739021	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739020	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738572	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738556	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738434	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738431	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738412	C₂	1	1	yes	maximal, characteristic, complemented
17	D₇×#474	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738070	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738068	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738064	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738060	C₂	1	1	yes	maximal, characteristic, complemented
22	#11737848	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737842	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737424	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737391	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737252	C₂	1	1	yes	maximal, characteristic, complemented
27	#11737251	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737230	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737227	C₂	1	1	yes	maximal, characteristic, complemented
30	#11737194	C₂	1	1	yes	maximal, characteristic, complemented
31	#11737186	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	C₂²	1	1	yes	characteristic
33	C₇×Q₈²	C₂²	1	1	yes	characteristic, complemented
34	#90426	—	2	1	no	—
35	#90426	—	2	1	no	—
36	#90425	C₂²	1	1	yes	characteristic, complemented
37	#90420	—	2	1	no	—
38	#90420	C₂²	1	1	yes	characteristic, complemented
39	#90420	C₂²	1	1	yes	characteristic, complemented
40	#90417	—	2	1	no	—
41	#90417	C₂²	1	1	yes	characteristic
42	#90417	C₂²	1	1	yes	characteristic, complemented
43	#90415	—	2	1	no	—
44	#90415	—	2	1	no	—
45	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	#90410	C₂²	1	1	yes	characteristic
47	#90408	C₂²	1	1	yes	characteristic
48	#90373	C₂²	1	1	yes	characteristic
49	#90371	C₂²	1	1	yes	characteristic
50	#90370	—	2	1	no	—
51	#90369	—	2	1	no	—
52	#90367	C₂²	1	1	yes	characteristic
53	#90367	C₂²	1	1	yes	characteristic
54	#90352	—	2	1	no	—
55	#90351	—	2	1	no	—
56	#90345	—	2	1	no	—
57	D₇×#123	—	2	1	no	—
58	#90273	—	2	1	no	—
59	#90273	C₂²	1	1	yes	characteristic, complemented
60	#90273	C₂²	1	1	yes	characteristic, complemented
61	#90272	—	2	1	no	—
62	#90272	C₂²	1	1	yes	characteristic
63	#90272	C₂²	1	1	yes	characteristic
64	#90272	C₂²	1	1	yes	characteristic, complemented
65	#90271	C₂²	1	1	yes	characteristic
66	#90271	C₂²	1	1	yes	characteristic, complemented
67	#90270	C₂²	1	1	yes	characteristic
68	#90270	C₂²	1	1	yes	characteristic, complemented
69	#90270	C₂²	1	1	yes	characteristic, complemented
70	#90265	C₂²	1	1	yes	characteristic
71	#90249	C₂²	1	1	yes	characteristic
72	#90247	—	2	1	no	—
73	#90242	C₂²	1	1	yes	characteristic
74	#90238	—	2	1	no	—
75	#90236	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
77	C₇×#489	C₂²	1	1	yes	characteristic, complemented
78	C₇×#489	C₂²	1	1	yes	characteristic, complemented
79	C₇×#486	C₂²	1	1	yes	characteristic
80	C₇×#477	C₂²	1	1	yes	characteristic, complemented
81	C₇×#474	C₂²	1	1	yes	characteristic, complemented
82	C₇×#474	C₂²	1	1	yes	characteristic, complemented
83	C₇×#464	C₂²	1	1	yes	characteristic, complemented
84	C₇×#464	C₂²	1	1	yes	characteristic, complemented
85	C₇×#460	C₂²	1	1	yes	characteristic
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×Q₁₆	C₂²	1	1	yes	characteristic, complemented
90	#89960	C₂²	1	1	yes	characteristic, complemented
91	#89960	C₂²	1	1	yes	characteristic, complemented
92	#89959	C₂²	1	1	yes	characteristic
93	#89957	C₂²	1	1	yes	characteristic, complemented
94	#89946	C₂²	1	1	yes	characteristic
95	#89946	C₂²	1	1	yes	characteristic, complemented
96	#89943	C₂²	1	1	yes	characteristic
97	#89943	C₂²	1	1	yes	characteristic, complemented
98	#89941	C₂²	1	1	yes	characteristic
99	#89941	C₂²	1	1	yes	characteristic
100	#89937	C₂²	1	1	yes	characteristic, complemented
101	#89937	C₂²	1	1	yes	characteristic, complemented
102	#89859	C₂²	1	1	yes	characteristic
103	#89859	C₂²	1	1	yes	characteristic
104	#89856	C₂²	1	1	yes	characteristic
105	#89852	C₂²	1	1	yes	characteristic, complemented
106	#89852	C₂²	1	1	yes	characteristic, complemented
107	#89850	C₂²	1	1	yes	characteristic, complemented
108	#89844	C₂²	1	1	yes	characteristic
109	#89843	C₂²	1	1	yes	characteristic
110	#89829	C₂²	1	1	yes	characteristic, complemented
111	#89829	C₂²	1	1	yes	characteristic, complemented
112	#89828	C₂²	1	1	yes	characteristic, complemented
113	#89827	C₂²	1	1	yes	characteristic, complemented
114	#89798	C₂²	1	1	yes	characteristic
115	#89798	C₂²	1	1	yes	characteristic
116	#89798	C₂²	1	1	yes	characteristic, complemented
117	C₄×#1143	C₂²	1	1	yes	characteristic
118	#89796	C₂²	1	1	yes	characteristic, complemented
119	#89794	C₂²	1	1	yes	characteristic, complemented
120	#89794	C₂²	1	1	yes	characteristic, complemented
121	#89794	C₂²	1	1	yes	characteristic, complemented
122	#89793	C₂²	1	1	yes	characteristic, complemented
123	#89786	C₂²	1	1	yes	characteristic, complemented
124	C₄×#1141	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	#89662	C₂²	1	1	yes	characteristic
130	#89657	C₂²	1	1	yes	characteristic, complemented
131	#89654	C₂²	1	1	yes	characteristic, complemented
132	#89654	C₂²	1	1	yes	characteristic, complemented
133	#89653	C₂²	1	1	yes	characteristic, complemented
134	#89653	C₂²	1	1	yes	characteristic, complemented
135	#89652	C₂²	1	1	yes	characteristic, complemented
136	D₇×#107	C₂²	1	1	yes	characteristic, complemented
137	D₇×#107	C₂²	1	1	yes	characteristic, complemented
138	D₇×#107	C₂²	1	1	yes	characteristic, complemented
139	#89619	C₂²	1	1	yes	characteristic
140	#89619	C₂²	1	1	yes	characteristic
141	#89619	C₂²	1	1	yes	characteristic, complemented
142	#89619	C₂²	1	1	yes	characteristic, complemented
143	#89618	C₂²	1	1	yes	characteristic
144	#89618	C₂²	1	1	yes	characteristic, complemented
145	#89611	C₂²	1	1	yes	characteristic, complemented
146	#89611	C₂²	1	1	yes	characteristic, complemented
147	#89608	C₂²	1	1	yes	characteristic
148	#89608	C₂²	1	1	yes	characteristic, complemented
149	#89606	C₂²	1	1	yes	characteristic, complemented
150	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#89591	C₂²	1	1	yes	characteristic
152	#89587	C₂²	1	1	yes	characteristic, complemented
153	#89587	C₂²	1	1	yes	characteristic, complemented
154	#89584	C₂²	1	1	yes	characteristic, complemented
155	#89583	C₂²	1	1	yes	characteristic
156	#89581	C₂²	1	1	yes	characteristic, complemented
157	#89581	C₂²	1	1	yes	characteristic, complemented
158	#89579	C₂²	1	1	yes	characteristic, complemented
159	#89577	C₂²	1	1	yes	characteristic, complemented
160	#89577	C₂²	1	1	yes	characteristic, complemented
161	#89577	C₂²	1	1	yes	characteristic, complemented
162	#89576	C₂²	1	1	yes	characteristic
163	#89575	C₂²	1	1	yes	characteristic
164	#89571	C₂²	1	1	yes	characteristic, complemented
165	#89566	C₂²	1	1	yes	characteristic, complemented
166	#89566	C₂²	1	1	yes	characteristic, complemented
167	#89556	C₂²	1	1	yes	characteristic, complemented
168	#89554	C₂²	1	1	yes	characteristic, complemented
169	#89551	C₂²	1	1	yes	characteristic
170	#89551	C₂²	1	1	yes	characteristic, complemented
171	#89549	C₂²	1	1	yes	characteristic, complemented
172	#89547	C₂²	1	1	yes	characteristic
173	#89547	C₂²	1	1	yes	characteristic
174	#89547	C₂²	1	1	yes	characteristic, complemented
175	#89546	C₂²	1	1	yes	characteristic
176	#89546	C₂²	1	1	yes	characteristic
177	#89546	C₂²	1	1	yes	characteristic
178	#89546	C₂²	1	1	yes	characteristic, complemented
179	#89545	C₂²	1	1	yes	characteristic
180	#89545	C₂²	1	1	yes	characteristic
181	#89542	C₂²	1	1	yes	characteristic
182	D₇×#102	C₂²	1	1	yes	characteristic
183	D₇×#102	C₂²	1	1	yes	characteristic
184	D₇×#102	C₂²	1	1	yes	characteristic
185	#89538	C₂²	1	1	yes	characteristic, complemented
186	#89535	C₂²	1	1	yes	characteristic, complemented
187	#89533	C₂²	1	1	yes	characteristic, complemented
188	#89533	C₂²	1	1	yes	characteristic, complemented
189	#89531	C₂²	1	1	yes	characteristic, complemented
190	#89531	C₂²	1	1	yes	characteristic, complemented
191	#89483	C₂²	1	1	yes	characteristic
192	#89483	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×D₅₆	C₂²	1	1	yes	characteristic
200	#89462	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₈	C₂²	1	1	yes	characteristic
202	#89455	C₂²	1	1	yes	characteristic, complemented
203	#62155	—	7	1	no	maximal, Sylow
204	C₂×#1161	—	2	1	no	—
205	C₂×#1161	—	2	1	no	—
206	C₂×#1161	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₇	—	2	1	no	—
208	C₂×D₄×D₇	—	2	1	no	—
209	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
211	C₂×#1157	—	2	1	no	—
212	C₂²×C₄×D₇	—	2	1	no	—
213	C₂×C₇×Q₁₆	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	—	2	1	no	—
218	C₇×C₄⋊Q₈	—	2	1	no	—
219	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₇×#127	C₂³	1	1	yes	characteristic
223	C₇×#124	—	2	1	no	—
224	C₇×#124	C₂³	1	1	yes	characteristic
225	C₇×#124	C₂³	1	1	yes	characteristic
226	C₇×#123	—	2	1	no	—
227	C₇×#123	—	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×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₇×D₄	—	2	1	no	—
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
237	#6510	—	2	1	no	—
238	#6510	—	2	1	no	—
239	#6510	D₄	1	1	yes	characteristic
240	#6510	C₂³	1	1	yes	characteristic
241	#6509	—	2	1	no	—
242	#6509	—	2	1	no	—
243	#6509	—	2	1	no	—
244	#6509	—	2	1	no	—
245	#6509	—	2	1	no	—
246	#6509	—	2	1	no	—
247	#6509	D₄	1	1	yes	characteristic
248	#6509	C₂³	1	1	yes	characteristic
249	#6509	C₂³	1	1	yes	characteristic
250	#6509	C₂³	1	1	yes	characteristic
251	#6509	C₂³	1	1	yes	characteristic
252	#6509	C₂³	1	1	yes	characteristic
253	Q₈×Dic₇	C₂³	1	1	yes	characteristic
254	#6507	—	2	1	no	—
255	#6507	—	2	1	no	—
256	#6507	—	2	1	no	—
257	C₂×#1143	C₂³	1	1	yes	characteristic
258	C₂×#1143	C₂³	1	1	yes	characteristic
259	#6502	—	2	1	no	—
260	#6502	—	2	1	no	—
261	#6501	—	2	1	no	—
262	#6501	C₂³	1	1	yes	characteristic
263	#6501	C₂³	1	1	yes	characteristic
264	#6501	C₂³	1	1	yes	characteristic
265	#6501	C₂³	1	1	yes	characteristic
266	#6500	—	2	1	no	—
267	#6500	—	2	1	no	—
268	#6498	—	2	1	no	—
269	#6498	—	2	1	no	—
270	D₄×Dic₇	C₂³	1	1	yes	characteristic
271	D₄×Dic₇	C₂³	1	1	yes	characteristic
272	C₂×#1141	C₂³	1	1	yes	characteristic
273	C₂×#1141	C₂³	1	1	yes	characteristic
274	#6492	—	2	1	no	—
275	C₄×C₂²⋊D₇	—	2	1	no	—
276	C₄×C₂²⋊D₇	—	2	1	no	—
277	C₄×C₂²⋊D₇	—	2	1	no	—
278	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
279	#6487	—	2	1	no	—
280	C₂×D₅₆	C₂³	1	1	yes	characteristic
281	C₂×#1131	C₂³	1	1	yes	characteristic
282	C₂×#1131	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
284	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
285	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
287	#6461	—	2	1	no	—
288	#6461	D₄	1	1	yes	characteristic
289	#6461	D₄	1	1	yes	characteristic
290	#6459	—	2	1	no	—
291	#6459	—	2	1	no	—
292	#6459	—	2	1	no	—
293	#6459	—	2	1	no	—
294	#6459	—	2	1	no	—
295	#6459	—	2	1	no	—
296	#6459	—	2	1	no	—
297	#6459	—	2	1	no	—
298	#6459	—	2	1	no	—
299	#6459	—	2	1	no	—
300	#6458	—	2	1	no	—
301	#6458	D₄	1	1	yes	characteristic
302	#6458	C₂³	1	1	yes	characteristic
303	#6458	C₂³	1	1	yes	characteristic
304	#6458	C₂³	1	1	yes	characteristic
305	#6457	—	2	1	no	—
306	#6457	—	2	1	no	—
307	#6457	—	2	1	no	—
308	#6457	—	2	1	no	—
309	#6457	—	2	1	no	—
310	#6457	—	2	1	no	—
311	#6457	—	2	1	no	—
312	#6457	—	2	1	no	—
313	#6457	—	2	1	no	—
314	#6457	—	2	1	no	—
315	#6457	D₄	1	1	yes	characteristic
316	#6457	D₄	1	1	yes	characteristic
317	#6456	—	2	1	no	—
318	#6456	C₂³	1	1	yes	characteristic
319	#6455	—	2	1	no	—
320	#6455	C₂³	1	1	yes	characteristic
321	#6455	C₂³	1	1	yes	characteristic
322	#6455	C₂³	1	1	yes	characteristic
323	D₇×C₄⋊C₄	—	2	1	no	—
324	D₇×C₄⋊C₄	—	2	1	no	—
325	D₇×C₄⋊C₄	—	2	1	no	—
326	D₇×C₄⋊C₄	—	2	1	no	—
327	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	#6453	D₄	1	1	yes	characteristic
334	#6453	C₂³	1	1	yes	characteristic
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	#6451	—	2	1	no	—
341	#6451	C₂³	1	1	yes	characteristic
342	#6451	C₂³	1	1	yes	characteristic
343	#6449	—	2	1	no	—
344	#6448	—	2	1	no	—
345	#6447	—	2	1	no	—
346	#6447	—	2	1	no	—
347	#6447	—	2	1	no	—
348	#6446	—	2	1	no	—
349	#6446	—	2	1	no	—
350	#6446	—	2	1	no	—
351	#6446	—	2	1	no	—
352	#6446	—	2	1	no	—
353	#6445	—	2	1	no	—
354	#6445	—	2	1	no	—
355	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
356	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
357	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
358	D₇×C₂²⋊C₄	—	2	1	no	—
359	D₇×C₂²⋊C₄	—	2	1	no	—
360	D₇×C₂²⋊C₄	—	2	1	no	—
361	D₇×C₂²⋊C₄	—	2	1	no	—
362	#6442	—	2	1	no	—
363	#6442	—	2	1	no	—
364	#6442	—	2	1	no	—
365	#6441	—	2	1	no	—
366	#6440	—	2	1	no	—
367	#6439	—	2	1	no	—
368	#6439	—	2	1	no	—
369	#6439	—	2	1	no	—
370	#6439	—	2	1	no	—
371	#6439	—	2	1	no	—
372	#6438	—	2	1	no	—
373	#6438	—	2	1	no	—
374	C₄×D₂₈	—	2	1	no	—
375	C₄×D₂₈	—	2	1	no	—
376	C₄×D₂₈	—	2	1	no	—
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	C₄×D₂₈	C₂³	1	1	yes	characteristic
383	C₄×D₂₈	C₂³	1	1	yes	characteristic
384	C₄×D₂₈	C₂³	1	1	yes	characteristic
385	C₄×D₂₈	C₂³	1	1	yes	characteristic
386	#6435	—	2	1	no	—
387	#6435	—	2	1	no	—
388	#6435	—	2	1	no	—
389	#6435	—	2	1	no	—
390	#6435	—	2	1	no	—
391	#6435	C₂³	1	1	yes	characteristic
392	#6435	C₂³	1	1	yes	characteristic
393	C₄²×D₇	C₂³	1	1	yes	characteristic
394	#6433	—	2	1	no	—
395	#6433	C₂³	1	1	yes	characteristic
396	#6433	C₂³	1	1	yes	characteristic
397	#6433	C₂³	1	1	yes	characteristic
398	#6433	C₂³	1	1	yes	characteristic
399	#6432	C₂³	1	1	yes	characteristic
400	#6432	C₂³	1	1	yes	characteristic
401	C₇×#107	C₂³	1	1	yes	characteristic
402	C₇×#107	C₂³	1	1	yes	characteristic
403	C₇×#107	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×#103	C₂³	1	1	yes	characteristic
409	C₇×#103	C₂³	1	1	yes	characteristic
410	C₇×#103	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	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6409	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	#6395	C₂³	1	1	yes	characteristic
436	#6395	C₂³	1	1	yes	characteristic
437	#6395	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	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
442	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
443	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
444	#6392	C₂³	1	1	yes	characteristic
445	#6392	C₂³	1	1	yes	characteristic
446	#6392	C₂³	1	1	yes	characteristic
447	#6392	C₂³	1	1	yes	characteristic
448	#6392	C₂³	1	1	yes	characteristic
449	#6391	C₂³	1	1	yes	characteristic
450	#6391	C₂³	1	1	yes	characteristic
451	#6391	C₂³	1	1	yes	characteristic
452	#6391	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	#6383	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	#6381	C₂³	1	1	yes	characteristic
466	#6381	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	#6381	C₂³	1	1	yes	characteristic
470	#6381	C₂³	1	1	yes	characteristic
471	#6381	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	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	#3544	—	7	1	no	—
480	#3513	—	7	1	no	—
481	#3389	—	7	1	no	—
482	#3385	—	7	1	no	—
483	#3375	D₇	1	1	yes	characteristic, complemented
484	#3370	—	7	1	no	—
485	#3347	—	7	1	no	—
486	#3346	—	7	1	no	—
487	#3343	—	7	1	no	—
488	#3343	—	7	1	no	—
489	#3336	—	7	1	no	—
490	#3334	—	7	1	no	—
491	#3319	—	7	1	no	—
492	#3314	—	7	1	no	—
493	#3310	—	7	1	no	—
494	#3306	—	7	1	no	—
495	#3296	—	7	1	no	—
496	#3294	—	7	1	no	—
497	#3262	—	7	1	no	—
498	#3257	—	7	1	no	—
499	#3250	—	7	1	no	—
500	#3243	—	7	1	no	—
501	#3241	—	7	1	no	—
502	#3238	—	7	1	no	—
503	#3124	—	7	1	no	—
504	#3118	—	7	1	no	—
505	#3114	—	7	1	no	—
506	#3083	—	7	1	no	—
507	#3081	—	7	1	no	—
508	C₂×#474	—	7	1	no	—
509	#2992	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₂³×D₇	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	C₂×D₄	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	C₂⁴	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	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂×C₂²⋊D₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂×C₂²⋊D₇	—	2	1	no	—
528	C₂×C₂²⋊D₇	—	2	1	no	—
529	C₂×C₂²⋊D₇	—	2	1	no	—
530	C₂²×Dic₇	—	2	1	no	—
531	C₂²×Dic₇	—	2	1	no	—
532	#1161	—	2	2	no	—
533	#1161	—	4	1	no	—
534	#1161	—	8	2	no	—
535	#1161	—	8	2	no	—
536	Q₈×D₇	—	8	2	no	—
537	D₄×D₇	—	2	2	no	—
538	D₄×D₇	—	2	2	no	—
539	D₄×D₇	—	4	1	no	—
540	D₄×D₇	—	4	1	no	—
541	D₄×D₇	—	8	2	no	—
542	#1157	—	8	2	no	—
543	C₂×D₂₈	—	2	1	no	—
544	C₂×D₂₈	—	2	1	no	—
545	C₂×D₂₈	—	2	1	no	—
546	C₂×D₂₈	—	2	1	no	—
547	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
548	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
549	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
550	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
551	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₇	—	2	1	no	—
553	C₂×C₄×D₇	—	2	1	no	—
554	C₂×C₄×D₇	—	2	1	no	—
555	C₂×C₄×D₇	—	2	1	no	—
556	C₂×C₄×D₇	—	2	1	no	—
557	C₂×C₄×D₇	—	2	1	no	—
558	C₂×C₄×D₇	—	2	1	no	—
559	C₂×C₄×D₇	—	2	1	no	—
560	C₂×C₄×D₇	—	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	—	2	1	no	—
565	C₂×C₄×D₇	—	2	1	no	—
566	C₂×C₄×D₇	—	8	2	no	—
567	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₁₄	—	2	1	no	—
573	C₂×Dic₁₄	—	2	1	no	—
574	C₂×Dic₁₄	—	2	1	no	—
575	C₂×Dic₁₄	—	2	1	no	—
576	C₇×Q₁₆	—	4	1	no	—
577	C₇×SD₁₆	—	4	1	no	—
578	C₇×SD₁₆	—	4	1	no	—
579	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	—	2	1	no	—
586	C₇×C₄⋊C₄	—	2	1	no	—
587	C₇×C₄⋊C₄	—	2	1	no	—
588	C₇×C₄⋊C₄	—	2	1	no	—
589	C₇×C₄⋊C₄	—	2	1	no	—
590	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₇×C₂²⋊C₄	—	2	1	no	—
598	C₇×C₂²⋊C₄	—	2	1	no	—
599	C₇×C₂²⋊C₄	—	2	1	no	—
600	C₇×C₂²⋊C₄	—	2	1	no	—
601	C₇×C₂²⋊C₄	—	2	1	no	—
602	C₇×C₂²⋊C₄	—	2	1	no	—
603	C₄²×C₇	—	2	1	no	—
604	C₄²×C₇	—	2	1	no	—
605	C₄²×C₇	—	2	1	no	—
606	C₄²×C₇	—	2	1	no	—
607	C₄²×C₇	C₂⁴	1	1	yes	characteristic
608	C₄²×C₇	C₂⁴	1	1	yes	characteristic
609	C₄²×C₇	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₇	—	2	1	no	—
611	C₂²⋊Dic₇	—	2	1	no	—
612	C₂²⋊Dic₇	—	2	1	no	—
613	C₂²⋊Dic₇	—	2	1	no	—
614	C₂²⋊Dic₇	—	2	1	no	—
615	C₂²⋊Dic₇	—	2	1	no	—
616	#1143	—	2	2	no	—
617	#1143	—	4	1	no	—
618	#1141	—	4	1	no	—
619	#1141	—	4	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	—	2	1	no	—
633	(C₂×D₇)⋊C₄	—	2	1	no	—
634	(C₂×D₇)⋊C₄	—	2	1	no	—
635	(C₂×D₇)⋊C₄	—	2	1	no	—
636	(C₂×D₇)⋊C₄	—	2	1	no	—
637	(C₂×D₇)⋊C₄	—	2	1	no	—
638	(C₂×D₇)⋊C₄	—	2	1	no	—
639	(C₂×D₇)⋊C₄	—	2	1	no	—
640	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
641	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
642	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
643	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
644	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
645	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
646	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
647	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
648	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
649	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₇	—	2	1	no	—
651	C₄⋊Dic₇	—	2	1	no	—
652	C₄⋊Dic₇	—	2	1	no	—
653	C₄⋊Dic₇	—	2	1	no	—
654	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
683	Dic₇⋊C₄	—	2	1	no	—
684	Dic₇⋊C₄	—	2	1	no	—
685	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
686	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
687	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
688	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
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	D₅₆	—	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	#563	—	14	1	no	—
708	#563	—	14	1	no	—
709	#559	C₂×D₇	1	1	yes	characteristic
710	Q₈²	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	—	14	1	no	—
717	#552	—	7	1	no	—
718	#552	—	7	1	no	—
719	#552	—	7	1	no	—
720	#552	—	14	1	no	—
721	#551	—	14	1	no	—
722	#551	—	14	1	no	—
723	#547	—	7	1	no	—
724	#547	—	7	1	no	—
725	#547	—	7	1	no	—
726	#547	—	14	1	no	—
727	#546	—	7	1	no	—
728	#546	—	7	1	no	—
729	#546	—	14	1	no	—
730	D₄²	—	7	1	no	—
731	#544	—	7	1	no	—
732	#544	—	7	1	no	—
733	#544	—	14	1	no	—
734	#542	—	7	1	no	—
735	#542	—	7	1	no	—
736	#542	—	7	1	no	—
737	#542	—	14	1	no	—
738	#540	—	7	1	no	—
739	#539	—	14	1	no	—
740	#538	—	14	1	no	—
741	#536	—	14	1	no	—
742	#536	—	14	1	no	—
743	C₂×C₄⋊Q₈	—	7	1	no	—
744	#529	—	7	1	no	—
745	#529	—	7	1	no	—
746	#529	—	7	1	no	—
747	#525	—	14	1	no	—
748	C₂×#123	—	14	1	no	—
749	#520	—	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	#500	—	7	1	no	—
757	#499	—	7	1	no	—
758	#490	—	7	1	no	—
759	#489	—	7	1	no	—
760	#489	C₂×D₇	1	1	yes	characteristic, complemented
761	#489	C₂×D₇	1	1	yes	characteristic, complemented
762	#488	—	7	1	no	—
763	#486	C₂×D₇	1	1	yes	characteristic
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#484	—	7	1	no	—
767	#484	—	7	1	no	—
768	#483	—	7	1	no	—
769	#483	—	7	1	no	—
770	#483	—	7	1	no	—
771	#482	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	—	7	1	no	—
774	#482	—	7	1	no	—
775	#481	—	7	1	no	—
776	#480	—	7	1	no	—
777	#480	—	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	#477	—	7	1	no	—
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	C₂×D₇	1	1	yes	characteristic, complemented
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#476	—	7	1	no	—
801	#474	—	7	1	no	—
802	#474	—	7	1	no	—
803	#474	—	7	1	no	—
804	#474	—	7	1	no	—
805	#474	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#474	—	7	1	no	—
809	#474	—	7	1	no	—
810	#474	C₂×D₇	1	1	yes	characteristic, complemented
811	#474	C₂×D₇	1	1	yes	characteristic, complemented
812	#469	—	7	1	no	—
813	#468	—	7	1	no	—
814	#468	—	7	1	no	—
815	#468	—	7	1	no	—
816	#467	—	7	1	no	—
817	#467	—	7	1	no	—
818	#466	—	7	1	no	—
819	#466	—	7	1	no	—
820	#466	—	7	1	no	—
821	#465	—	7	1	no	—
822	#465	—	7	1	no	—
823	#465	—	7	1	no	—
824	#464	—	7	1	no	—
825	#464	C₂×D₇	1	1	yes	characteristic, complemented
826	#464	C₂×D₇	1	1	yes	characteristic, complemented
827	#463	—	7	1	no	—
828	#463	—	7	1	no	—
829	#463	—	7	1	no	—
830	#463	—	7	1	no	—
831	#463	—	7	1	no	—
832	#460	C₂×D₇	1	1	yes	characteristic
833	#459	—	7	1	no	—
834	#452	—	7	1	no	—
835	#450	—	7	1	no	—
836	#450	—	7	1	no	—
837	#449	—	7	1	no	—
838	#447	—	7	1	no	—
839	#447	—	7	1	no	—
840	#446	—	7	1	no	—
841	#446	C₂×D₇	1	1	yes	characteristic, complemented
842	#442	—	7	1	no	—
843	#442	—	7	1	no	—
844	#442	—	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×Q₁₆	C₂×D₇	1	1	yes	characteristic, complemented
851	C₄×SD₁₆	—	7	1	no	—
852	C₄×D₈	—	7	1	no	—
853	C₄×D₈	—	7	1	no	—
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	C₂×#107	—	7	1	no	—
867	C₂×#107	—	7	1	no	—
868	C₂×#107	—	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	#417	—	7	1	no	—
874	#416	—	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	C₂²×D₇	—	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	—	8	1	no	—
886	C₂²×D₇	—	8	1	no	—
887	C₂²×D₇	—	8	1	no	—
888	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
889	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
890	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
891	C₇×Q₈	—	2	1	no	—
892	C₇×Q₈	—	2	1	no	—
893	C₇×Q₈	—	2	1	no	—
894	C₇×Q₈	—	2	1	no	—
895	C₇×Q₈	—	4	1	no	—
896	C₇×Q₈	—	8	1	no	—
897	C₇×Q₈	—	8	1	no	—
898	C₇×Q₈	—	8	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	—	8	1	no	—
904	C₇×D₄	—	8	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	8	1	no	—
912	C₂×C₄×C₇	—	8	1	no	—
913	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
920	C₂²⋊D₇	—	4	2	no	—
921	C₂²⋊D₇	—	4	2	no	—
922	C₂²⋊D₇	—	4	2	no	—
923	C₂²⋊D₇	—	8	1	no	—
924	C₂²⋊D₇	—	8	1	no	—
925	C₂²⋊D₇	—	8	1	no	—
926	C₂×Dic₇	—	2	1	no	—
927	C₂×Dic₇	—	2	1	no	—
928	C₂×Dic₇	—	2	1	no	—
929	C₂×Dic₇	—	2	1	no	—
930	C₂×Dic₇	—	2	1	no	—
931	C₂×Dic₇	—	2	1	no	—
932	C₂×Dic₇	—	8	1	no	—
933	C₂×Dic₇	—	8	1	no	—
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	2	no	—
940	D₂₈	—	2	2	no	—
941	D₂₈	—	2	1	no	—
942	D₂₈	—	2	1	no	—
943	D₂₈	—	2	1	no	—
944	D₂₈	—	4	1	no	—
945	D₂₈	—	4	2	no	—
946	D₂₈	—	4	2	no	—
947	D₂₈	—	8	1	no	—
948	D₂₈	—	8	1	no	—
949	D₂₈	2₋¹⁺⁴	1	2	yes	—
950	C₄×D₇	—	2	2	no	—
951	C₄×D₇	—	2	1	no	—
952	C₄×D₇	—	2	1	no	—
953	C₄×D₇	—	2	1	no	—
954	C₄×D₇	—	2	1	no	—
955	C₄×D₇	—	2	1	no	—
956	C₄×D₇	—	2	1	no	—
957	C₄×D₇	—	4	1	no	—
958	C₄×D₇	—	4	2	no	—
959	C₄×D₇	—	4	2	no	—
960	C₄×D₇	—	4	2	no	—
961	C₄×D₇	—	4	2	no	—
962	C₄×D₇	—	4	2	no	—
963	C₄×D₇	—	8	1	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	C₄×D₇	—	8	1	no	—
972	Dic₁₄	—	8	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	—	7	1	no	—
985	C₂×#41	—	14	1	no	—
986	C₂×#41	—	14	1	no	—
987	C₂×#41	—	14	1	no	—
988	C₂²×Q₈	—	14	1	no	—
989	C₂²×D₄	—	7	1	no	—
990	C₂²×D₄	—	7	1	no	—
991	C₂²×D₄	—	14	1	no	—
992	C₂³×C₄	—	14	1	no	—
993	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
994	C₂×SD₁₆	—	7	1	no	—
995	C₂×SD₁₆	—	7	1	no	—
996	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
997	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
998	C₂×D₈	—	7	1	no	—
999	C₂×D₈	—	7	1	no	—
1000	C₂×D₈	—	7	1	no	—
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	—	2	1	no	—
1009	C₄⋊Q₈	—	2	1	no	—
1010	C₄⋊Q₈	—	7	1	no	—
1011	C₄⋊Q₈	—	7	1	no	—
1012	C₄⋊Q₈	—	7	1	no	—
1013	C₄⋊Q₈	—	7	1	no	—
1014	C₄⋊Q₈	—	14	1	no	—
1015	C₄⋊Q₈	—	14	1	no	—
1016	C₄⋊Q₈	—	14	1	no	—
1017	C₄⋊Q₈	—	14	1	no	—
1018	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1019	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1020	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1021	#127	C₂²×D₇	1	1	yes	characteristic
1022	#126	—	7	1	no	—
1023	#126	—	7	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	#126	—	14	1	no	—
1032	#126	—	14	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	—	14	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	#124	—	2	1	no	—
1046	#124	—	7	1	no	—
1047	#124	—	7	1	no	—
1048	#124	—	14	1	no	—
1049	#124	—	14	1	no	—
1050	#124	—	14	1	no	—
1051	#124	—	14	1	no	—
1052	#124	—	14	1	no	—
1053	#124	C₂²×D₇	1	1	yes	characteristic
1054	#124	C₂²×D₇	1	1	yes	characteristic
1055	#123	—	2	1	no	—
1056	#123	—	2	1	no	—
1057	#123	—	7	1	no	—
1058	#123	—	7	1	no	—
1059	#123	—	14	1	no	—
1060	#123	—	14	1	no	—
1061	#123	—	14	1	no	—
1062	#123	—	14	1	no	—
1063	#123	—	14	1	no	—
1064	#123	—	14	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	#123	—	14	1	no	—
1076	#123	—	14	1	no	—
1077	#123	—	14	1	no	—
1078	C₂²⋊Q₈	—	7	1	no	—
1079	C₂²⋊Q₈	—	7	1	no	—
1080	C₂²⋊Q₈	—	7	1	no	—
1081	C₂²⋊Q₈	—	7	1	no	—
1082	C₂²⋊Q₈	—	7	1	no	—
1083	C₂²⋊Q₈	—	7	1	no	—
1084	C₂²⋊Q₈	—	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	C₂²⋊Q₈	—	14	1	no	—
1095	C₂²⋊Q₈	—	14	1	no	—
1096	C₂²⋊Q₈	—	14	1	no	—
1097	C₂²⋊Q₈	—	14	1	no	—
1098	C₂²⋊Q₈	—	14	1	no	—
1099	C₂²⋊Q₈	—	14	1	no	—
1100	C₂²⋊Q₈	—	14	1	no	—
1101	C₂²⋊Q₈	—	14	1	no	—
1102	#121	—	7	1	no	—
1103	#121	—	7	1	no	—
1104	#121	—	7	1	no	—
1105	#121	—	7	1	no	—
1106	#121	—	7	1	no	—
1107	#121	—	7	1	no	—
1108	#121	—	7	1	no	—
1109	#121	—	7	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	#121	—	14	1	no	—
1116	#121	—	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	C₂²×D₇	1	1	yes	characteristic
1124	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1125	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1126	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1127	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1128	C₄×D₄	—	2	1	no	—
1129	C₄×D₄	—	7	1	no	—
1130	C₄×D₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1152	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1153	#117	—	7	1	no	—
1154	#117	—	7	1	no	—
1155	#117	—	7	1	no	—
1156	#117	—	7	1	no	—
1157	#117	—	7	1	no	—
1158	#117	—	14	1	no	—
1159	#117	—	14	1	no	—
1160	#117	—	14	1	no	—
1161	#117	—	14	1	no	—
1162	#117	—	14	1	no	—
1163	#117	—	14	1	no	—
1164	#117	—	14	1	no	—
1165	C₂×C₄⋊C₄	—	7	1	no	—
1166	C₂×C₄⋊C₄	—	7	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	—	14	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	—	7	1	no	—
1192	#107	—	7	1	no	—
1193	#107	—	7	1	no	—
1194	#107	C₂²×D₇	1	1	yes	characteristic
1195	#107	C₂²×D₇	1	1	yes	characteristic
1196	#107	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1222	#103	C₂²×D₇	1	1	yes	characteristic
1223	#103	C₂²×D₇	1	1	yes	characteristic
1224	#103	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1239	#102	—	7	1	no	—
1240	#102	—	7	1	no	—
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	C₂³×D₄	1	1	yes	characteristic
1266	C₂×D₇	—	2	1	no	—
1267	C₂×D₇	—	2	1	no	—
1268	C₂×D₇	—	2	1	no	—
1269	C₂×D₇	—	2	1	no	—
1270	C₂×D₇	—	2	1	no	—
1271	C₂×D₇	—	2	1	no	—
1272	C₂×D₇	—	2	2	no	—
1273	C₂×D₇	—	2	1	no	—
1274	C₂×D₇	—	2	1	no	—
1275	C₂×D₇	—	4	1	no	—
1276	C₂×D₇	—	4	1	no	—
1277	C₂×D₇	—	4	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	#576	1	2	yes	—
1283	C₄×C₇	—	2	1	no	—
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	—	4	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	C₂⁴	—	14	1	no	—
1309	C₂⁴	—	14	1	no	—
1310	#41	—	14	2	no	—
1311	#41	—	28	1	no	—
1312	#41	—	56	2	no	—
1313	#41	—	56	2	no	—
1314	#41	—	56	2	no	—
1315	C₂×Q₈	—	2	1	no	—
1316	C₂×Q₈	—	2	1	no	—
1317	C₂×Q₈	—	2	1	no	—
1318	C₂×Q₈	—	14	1	no	—
1319	C₂×Q₈	—	14	1	no	—
1320	C₂×Q₈	—	14	1	no	—
1321	C₂×Q₈	—	14	1	no	—
1322	C₂×Q₈	—	56	2	no	—
1323	C₂×Q₈	D₄×D₇	1	1	yes	characteristic
1324	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	7	1	no	—
1329	C₂×D₄	—	7	1	no	—
1330	C₂×D₄	—	7	1	no	—
1331	C₂×D₄	—	7	1	no	—
1332	C₂×D₄	—	7	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	—	14	1	no	—
1335	C₂×D₄	—	14	1	no	—
1336	C₂×D₄	—	14	1	no	—
1337	C₂×D₄	—	14	1	no	—
1338	C₂×D₄	—	14	1	no	—
1339	C₂×D₄	—	14	2	no	—
1340	C₂×D₄	—	14	2	no	—
1341	C₂×D₄	—	14	1	no	—
1342	C₂×D₄	—	14	1	no	—
1343	C₂×D₄	—	14	1	no	—
1344	C₂×D₄	—	14	1	no	—
1345	C₂×D₄	—	28	1	no	—
1346	C₂×D₄	—	28	1	no	—
1347	C₂×D₄	—	56	2	no	—
1348	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1349	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	7	1	no	—
1353	C₂²×C₄	—	7	1	no	—
1354	C₂²×C₄	—	7	1	no	—
1355	C₂²×C₄	—	7	1	no	—
1356	C₂²×C₄	—	7	1	no	—
1357	C₂²×C₄	—	14	1	no	—
1358	C₂²×C₄	—	14	1	no	—
1359	C₂²×C₄	—	14	1	no	—
1360	C₂²×C₄	—	14	1	no	—
1361	C₂²×C₄	—	14	1	no	—
1362	C₂²×C₄	—	14	1	no	—
1363	C₂²×C₄	—	14	1	no	—
1364	C₂²×C₄	—	14	1	no	—
1365	C₂²×C₄	—	14	1	no	—
1366	C₂²×C₄	—	14	1	no	—
1367	C₂²×C₄	—	14	1	no	—
1368	C₂²×C₄	—	14	1	no	—
1369	C₂²×C₄	—	14	1	no	—
1370	C₂²×C₄	—	14	1	no	—
1371	C₂²×C₄	—	14	1	no	—
1372	C₂²×C₄	—	14	1	no	—
1373	C₂²×C₄	—	56	2	no	—
1374	Q₁₆	—	4	1	no	—
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	4	1	no	—
1377	SD₁₆	—	14	2	no	—
1378	SD₁₆	—	28	1	no	—
1379	D₈	—	14	2	no	—
1380	D₈	—	28	1	no	—
1381	D₈	—	28	1	no	—
1382	M₁₆	—	28	1	no	—
1383	M₁₆	—	28	1	no	—
1384	C₂×C₈	—	7	1	no	—
1385	C₂×C₈	—	7	1	no	—
1386	C₂×C₈	—	7	1	no	—
1387	C₂×C₈	—	7	1	no	—
1388	C₂×C₈	—	28	1	no	—
1389	C₂×C₈	—	28	1	no	—
1390	C₂×C₈	—	28	1	no	—
1391	C₂×C₈	—	28	1	no	—
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	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
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	D₄×D₇	1	1	yes	characteristic
1443	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1444	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	7	1	no	—
1456	C₂²⋊C₄	—	7	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	—	14	1	no	—
1466	C₂²⋊C₄	—	14	1	no	—
1467	C₂²⋊C₄	—	14	1	no	—
1468	C₂²⋊C₄	—	14	1	no	—
1469	C₂²⋊C₄	—	14	1	no	—
1470	C₂²⋊C₄	—	14	1	no	—
1471	C₂²⋊C₄	—	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	C₂²⋊C₄	—	14	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	7	1	no	—
1496	C₄²	—	7	1	no	—
1497	C₄²	—	7	1	no	—
1498	C₄²	—	14	1	no	—
1499	C₄²	—	14	1	no	—
1500	C₄²	—	14	1	no	—
1501	C₄²	—	14	1	no	—
1502	C₄²	C₂³×D₇	1	1	yes	characteristic
1503	C₄²	C₂³×D₇	1	1	yes	characteristic
1504	C₄²	C₂³×D₇	1	1	yes	characteristic
1505	C₂×C₇	—	8	1	no	—
1506	C₂×C₇	—	8	1	no	—
1507	C₂×C₇	#3489	1	1	yes	characteristic
1508	C₂×C₇	C₂×#576	1	1	yes	characteristic
1509	C₂×C₇	#3586	1	1	yes	characteristic
1510	D₇	—	2	2	no	—
1511	D₇	—	4	1	no	—
1512	D₇	—	4	1	no	—
1513	D₇	—	4	2	no	—
1514	D₇	—	8	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	7	1	no	—
1518	C₂³	—	7	1	no	—
1519	C₂³	—	7	1	no	—
1520	C₂³	—	14	1	no	—
1521	C₂³	—	14	1	no	—
1522	C₂³	—	28	2	no	—
1523	C₂³	—	28	2	no	—
1524	C₂³	—	28	2	no	—
1525	C₂³	—	56	1	no	—
1526	C₂³	—	56	1	no	—
1527	C₂³	—	56	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	4	1	no	—
1533	Q₈	—	8	1	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	56	1	no	—
1537	Q₈	—	56	1	no	—
1538	Q₈	—	56	1	no	—
1539	Q₈	—	56	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	7	2	no	—
1545	D₄	—	8	1	no	—
1546	D₄	—	8	1	no	—
1547	D₄	—	14	2	no	—
1548	D₄	—	14	2	no	—
1549	D₄	—	14	1	no	—
1550	D₄	—	14	1	no	—
1551	D₄	—	14	1	no	—
1552	D₄	—	28	1	no	—
1553	D₄	—	28	2	no	—
1554	D₄	—	28	2	no	—
1555	D₄	—	28	2	no	—
1556	D₄	—	28	2	no	—
1557	D₄	—	28	2	no	—
1558	D₄	—	56	1	no	—
1559	D₄	—	56	1	no	—
1560	D₄	—	56	1	no	—
1561	D₄	—	56	1	no	—
1562	D₄	—	56	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	7	1	no	—
1570	C₂×C₄	—	7	1	no	—
1571	C₂×C₄	—	7	1	no	—
1572	C₂×C₄	—	7	1	no	—
1573	C₂×C₄	—	7	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	14	2	no	—
1577	C₂×C₄	—	14	1	no	—
1578	C₂×C₄	—	14	1	no	—
1579	C₂×C₄	—	14	1	no	—
1580	C₂×C₄	—	14	1	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	—	28	1	no	—
1590	C₂×C₄	—	28	2	no	—
1591	C₂×C₄	—	28	2	no	—
1592	C₂×C₄	—	28	2	no	—
1593	C₂×C₄	—	28	2	no	—
1594	C₂×C₄	—	28	2	no	—
1595	C₂×C₄	—	56	1	no	—
1596	C₂×C₄	—	56	1	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	C₂×D₄×D₇	1	1	yes	characteristic
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	C₂⁴×D₇	1	1	yes	characteristic
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	14	1	no	—
1618	C₈	—	14	1	no	—
1619	C₈	—	14	1	no	—
1620	C₈	—	14	1	no	—
1621	C₇	#62155	1	1	yes	characteristic, complemented, Sylow
1622	C₂²	—	4	1	no	—
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	—	7	2	no	—
1629	C₂²	—	14	1	no	—
1630	C₂²	—	14	1	no	—
1631	C₂²	—	14	1	no	—
1632	C₂²	—	14	1	no	—
1633	C₂²	—	14	1	no	—
1634	C₂²	—	14	1	no	—
1635	C₂²	—	14	1	no	—
1636	C₂²	—	14	1	no	—
1637	C₂²	—	14	2	no	—
1638	C₂²	—	28	1	no	—
1639	C₂²	—	28	1	no	—
1640	C₂²	—	28	1	no	—
1641	C₂²	—	28	1	no	—
1642	C₂²	—	28	1	no	—
1643	C₂²	—	56	4	no	—
1644	C₂²	—	112	2	no	—
1645	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	14	1	no	—
1659	C₄	—	14	1	no	—
1660	C₄	—	14	1	no	—
1661	C₄	—	14	1	no	—
1662	C₄	—	14	1	no	—
1663	C₄	—	28	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	#90616	1	1	yes	characteristic
1670	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1671	C₂	—	8	1	no	—
1672	C₂	—	8	1	no	—
1673	C₂	—	14	2	no	—
1674	C₂	—	28	1	no	—
1675	C₂	—	28	1	no	—
1676	C₂	—	28	2	no	—
1677	C₂	—	56	1	no	—
1678	C₂	#11743782	1	1	yes	characteristic
1679	C₂	#11744265	1	1	yes	characteristic
1680	C₂	D₇×#576	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×#3375	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3375	D₇
hypocenter	C₇	#62155
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3375

Complements

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

N	H ≅ G/N	type
1. #11744121	C₂	semidirect
2. #11744115	C₂	semidirect
3. C₇×#3375	C₂	semidirect
4. #11741159	C₂	semidirect
5. #11741151	C₂	semidirect
6. #11739147	C₂	semidirect
7. #11739141	C₂	semidirect
8. #11739139	C₂	semidirect
9. #11739135	C₂	semidirect
10. #11739021	C₂	semidirect
11. #11739020	C₂	semidirect
12. #11738572	C₂	semidirect
13. #11738556	C₂	semidirect
14. #11738434	C₂	semidirect
15. #11738431	C₂	semidirect
16. #11738412	C₂	semidirect
17. D₇×#474	C₂	semidirect
18. #11738070	C₂	semidirect
19. #11738068	C₂	semidirect
20. #11738064	C₂	semidirect
21. #11738060	C₂	semidirect
22. #11737848	C₂	semidirect
23. #11737842	C₂	semidirect
24. #11737424	C₂	semidirect
25. #11737391	C₂	semidirect
26. #11737252	C₂	semidirect
27. #11737251	C₂	semidirect
28. #11737230	C₂	semidirect
29. #11737227	C₂	semidirect
30. #11737194	C₂	semidirect
31. #11737186	C₂	semidirect
33. C₇×Q₈²	C₂²	semidirect
36. #90425	C₂²	semidirect
38. #90420	C₂²	semidirect
39. #90420	C₂²	semidirect
42. #90417	C₂²	semidirect
45. D₇×C₄⋊Q₈	C₂²	semidirect
59. #90273	C₂²	semidirect
60. #90273	C₂²	semidirect
64. #90272	C₂²	semidirect
66. #90271	C₂²	semidirect
68. #90270	C₂²	semidirect
69. #90270	C₂²	semidirect
77. C₇×#489	C₂²	semidirect
78. C₇×#489	C₂²	semidirect
80. C₇×#477	C₂²	semidirect
81. C₇×#474	C₂²	semidirect
82. C₇×#474	C₂²	semidirect
83. C₇×#464	C₂²	semidirect
84. C₇×#464	C₂²	semidirect
86. C₇×#446	C₂²	semidirect
87. C₇×#440	C₂²	semidirect
88. C₇×#440	C₂²	semidirect
89. C₄×C₇×Q₁₆	C₂²	semidirect
90. #89960	C₂²	semidirect
91. #89960	C₂²	semidirect
93. #89957	C₂²	semidirect
95. #89946	C₂²	semidirect
97. #89943	C₂²	semidirect
100. #89937	C₂²	semidirect
101. #89937	C₂²	semidirect
105. #89852	C₂²	semidirect
106. #89852	C₂²	semidirect
107. #89850	C₂²	semidirect
110. #89829	C₂²	semidirect
111. #89829	C₂²	semidirect
112. #89828	C₂²	semidirect
113. #89827	C₂²	semidirect
116. #89798	C₂²	semidirect
118. #89796	C₂²	semidirect
119. #89794	C₂²	semidirect
120. #89794	C₂²	semidirect
121. #89794	C₂²	semidirect
122. #89793	C₂²	semidirect
123. #89786	C₂²	semidirect
124. C₄×#1141	C₂²	semidirect
125. #89781	C₂²	semidirect
126. #89779	C₂²	semidirect
130. #89657	C₂²	semidirect
131. #89654	C₂²	semidirect
132. #89654	C₂²	semidirect
133. #89653	C₂²	semidirect
134. #89653	C₂²	semidirect
135. #89652	C₂²	semidirect
136. D₇×#107	C₂²	semidirect
137. D₇×#107	C₂²	semidirect
138. D₇×#107	C₂²	semidirect
141. #89619	C₂²	semidirect
142. #89619	C₂²	semidirect
144. #89618	C₂²	semidirect
145. #89611	C₂²	semidirect
146. #89611	C₂²	semidirect
148. #89608	C₂²	semidirect
149. #89606	C₂²	semidirect
150. D₇×C₄⋊C₈	C₂²	semidirect
152. #89587	C₂²	semidirect
153. #89587	C₂²	semidirect
154. #89584	C₂²	semidirect
156. #89581	C₂²	semidirect
157. #89581	C₂²	semidirect
158. #89579	C₂²	semidirect
159. #89577	C₂²	semidirect
160. #89577	C₂²	semidirect
161. #89577	C₂²	semidirect
164. #89571	C₂²	semidirect
165. #89566	C₂²	semidirect
166. #89566	C₂²	semidirect
167. #89556	C₂²	semidirect
168. #89554	C₂²	semidirect
170. #89551	C₂²	semidirect
171. #89549	C₂²	semidirect
174. #89547	C₂²	semidirect
178. #89546	C₂²	semidirect
185. #89538	C₂²	semidirect
186. #89535	C₂²	semidirect
187. #89533	C₂²	semidirect
188. #89533	C₂²	semidirect
189. #89531	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
202. #89455	C₂²	semidirect
483. #3375	D₇	semidirect
710. Q₈²	C₂×D₇	semidirect
760. #489	C₂×D₇	semidirect
761. #489	C₂×D₇	semidirect
797. #477	C₂×D₇	semidirect
810. #474	C₂×D₇	semidirect
811. #474	C₂×D₇	semidirect
825. #464	C₂×D₇	semidirect
826. #464	C₂×D₇	semidirect
841. #446	C₂×D₇	semidirect
848. #440	C₂×D₇	semidirect
849. #440	C₂×D₇	semidirect
850. C₄×Q₁₆	C₂×D₇	semidirect
1621. C₇	#62155	semidirect

Maximal subgroups

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

subgroup	index
#11744121	2
#11744115	2
C₇×#3375	2
#11741159	2
#11741151	2
#11739147	2
#11739141	2
#11739139	2
#11739135	2
#11739021	2
#11739020	2
#11738572	2
#11738556	2
#11738434	2
#11738431	2
#11738412	2
D₇×#474	2
#11738070	2
#11738068	2
#11738064	2
#11738060	2
#11737848	2
#11737842	2
#11737424	2
#11737391	2
#11737252	2
#11737251	2
#11737230	2
#11737227	2
#11737194	2
#11737186	2
#62155	7