Subgroups — #14250610

Order 1792.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11744122	C₂	1	1	yes	maximal, characteristic, complemented
2	#11744097	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741159	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741139	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739172	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739167	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739147	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739139	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739098	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739096	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738703	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738674	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738643	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738613	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738527	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738507	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738071	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738070	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738062	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738060	C₂	1	1	yes	maximal, characteristic, complemented
22	#11737846	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737842	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737420	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737391	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737292	C₂	1	1	yes	maximal, characteristic, complemented
27	#11737291	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737253	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737230	C₂	1	1	yes	maximal, characteristic, complemented
30	#11737141	C₂	1	1	yes	maximal, characteristic, complemented
31	#11737135	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	C₂²	1	1	yes	characteristic
33	C₇×#557	C₂²	1	1	yes	characteristic, complemented
34	#90426	—	2	1	no	—
35	#90425	C₂²	1	1	yes	characteristic, complemented
36	#90424	—	2	1	no	—
37	#90420	C₂²	1	1	yes	characteristic, complemented
38	#90408	C₂²	1	1	yes	characteristic
39	#90407	C₂²	1	1	yes	characteristic
40	#90391	—	2	1	no	—
41	#90387	—	2	1	no	—
42	#90386	C₂²	1	1	yes	characteristic
43	#90386	C₂²	1	1	yes	characteristic, complemented
44	#90384	—	2	1	no	—
45	#90383	—	2	1	no	—
46	#90380	C₂²	1	1	yes	characteristic, complemented
47	#90379	C₂²	1	1	yes	characteristic, complemented
48	#90373	C₂²	1	1	yes	characteristic
49	#90373	C₂²	1	1	yes	characteristic
50	#90368	—	2	1	no	—
51	#90367	C₂²	1	1	yes	characteristic
52	#90367	C₂²	1	1	yes	characteristic
53	D₇×#124	—	2	1	no	—
54	#90349	—	2	1	no	—
55	#90349	—	2	1	no	—
56	#90348	—	2	1	no	—
57	#90348	—	2	1	no	—
58	#90275	C₂²	1	1	yes	characteristic
59	#90275	C₂²	1	1	yes	characteristic, complemented
60	#90273	—	2	1	no	—
61	#90273	C₂²	1	1	yes	characteristic, complemented
62	#90273	C₂²	1	1	yes	characteristic, complemented
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, complemented
68	Q₈×D₂₈	C₂²	1	1	yes	characteristic
69	C₄×#1161	C₂²	1	1	yes	characteristic
70	#90259	—	2	1	no	—
71	#90254	C₂²	1	1	yes	characteristic
72	#90254	C₂²	1	1	yes	characteristic
73	#90248	—	2	1	no	—
74	#90245	—	2	1	no	—
75	#90236	C₂²	1	1	yes	characteristic
76	#90236	C₂²	1	1	yes	characteristic
77	C₇×#490	C₂²	1	1	yes	characteristic
78	C₇×#489	C₂²	1	1	yes	characteristic, complemented
79	C₇×#488	C₂²	1	1	yes	characteristic, complemented
80	C₇×#479	C₂²	1	1	yes	characteristic, complemented
81	C₇×#478	C₂²	1	1	yes	characteristic, complemented
82	C₇×#476	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×#441	C₂²	1	1	yes	characteristic, complemented
88	C₇×#440	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
90	#89961	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	#89943	C₂²	1	1	yes	characteristic
96	#89943	C₂²	1	1	yes	characteristic, complemented
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	#89850	C₂²	1	1	yes	characteristic, complemented
104	#89844	C₂²	1	1	yes	characteristic
105	#89843	C₂²	1	1	yes	characteristic
106	#89838	C₂²	1	1	yes	characteristic
107	#89838	C₂²	1	1	yes	characteristic
108	#89837	C₂²	1	1	yes	characteristic, complemented
109	#89837	C₂²	1	1	yes	characteristic, complemented
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	#89793	C₂²	1	1	yes	characteristic, complemented
121	#89793	C₂²	1	1	yes	characteristic, complemented
122	#89792	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	#89662	C₂²	1	1	yes	characteristic
128	#89657	C₂²	1	1	yes	characteristic, complemented
129	#89653	C₂²	1	1	yes	characteristic, complemented
130	#89652	C₂²	1	1	yes	characteristic, complemented
131	#89643	C₂²	1	1	yes	characteristic
132	#89642	C₂²	1	1	yes	characteristic
133	#89638	C₂²	1	1	yes	characteristic, complemented
134	#89638	C₂²	1	1	yes	characteristic, complemented
135	#89633	C₂²	1	1	yes	characteristic, complemented
136	#89632	C₂²	1	1	yes	characteristic, complemented
137	#89632	C₂²	1	1	yes	characteristic, complemented
138	#89632	C₂²	1	1	yes	characteristic, complemented
139	#89619	C₂²	1	1	yes	characteristic
140	#89619	C₂²	1	1	yes	characteristic
141	#89618	C₂²	1	1	yes	characteristic, complemented
142	#89614	C₂²	1	1	yes	characteristic
143	#89614	C₂²	1	1	yes	characteristic, complemented
144	#89614	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	#89587	C₂²	1	1	yes	characteristic, complemented
155	#89587	C₂²	1	1	yes	characteristic, complemented
156	#89586	C₂²	1	1	yes	characteristic, complemented
157	#89584	C₂²	1	1	yes	characteristic, complemented
158	#89583	C₂²	1	1	yes	characteristic
159	#89581	C₂²	1	1	yes	characteristic, complemented
160	#89579	C₂²	1	1	yes	characteristic, complemented
161	#89577	C₂²	1	1	yes	characteristic, complemented
162	#89576	C₂²	1	1	yes	characteristic
163	#89576	C₂²	1	1	yes	characteristic
164	#89571	C₂²	1	1	yes	characteristic, complemented
165	#89566	C₂²	1	1	yes	characteristic, complemented
166	#89563	C₂²	1	1	yes	characteristic, complemented
167	#89556	C₂²	1	1	yes	characteristic, complemented
168	#89556	C₂²	1	1	yes	characteristic, complemented
169	#89554	C₂²	1	1	yes	characteristic
170	#89551	C₂²	1	1	yes	characteristic
171	#89551	C₂²	1	1	yes	characteristic
172	#89551	C₂²	1	1	yes	characteristic, complemented
173	#89551	C₂²	1	1	yes	characteristic, complemented
174	#89549	C₂²	1	1	yes	characteristic
175	#89547	C₂²	1	1	yes	characteristic
176	#89547	C₂²	1	1	yes	characteristic, complemented
177	#89547	C₂²	1	1	yes	characteristic, complemented
178	#89546	C₂²	1	1	yes	characteristic
179	#89545	C₂²	1	1	yes	characteristic
180	#89545	C₂²	1	1	yes	characteristic
181	#89542	C₂²	1	1	yes	characteristic
182	#89542	C₂²	1	1	yes	characteristic
183	D₇×#102	C₂²	1	1	yes	characteristic
184	D₇×#102	C₂²	1	1	yes	characteristic
185	#89535	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
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, complemented
202	#89452	C₂²	1	1	yes	characteristic, complemented
203	#62159	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₇	—	2	1	no	—
206	C₂×#1159	—	2	1	no	—
207	C₂×D₄×D₇	—	2	1	no	—
208	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
210	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	—	2	1	no	—
214	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₇×#127	C₂³	1	1	yes	characteristic
216	C₇×#125	—	2	1	no	—
217	C₇×#125	—	2	1	no	—
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×#125	C₂³	1	1	yes	characteristic
220	C₇×#124	—	2	1	no	—
221	C₇×#124	C₂³	1	1	yes	characteristic
222	C₇×#124	C₂³	1	1	yes	characteristic
223	C₇×#123	—	2	1	no	—
224	C₇×#123	—	2	1	no	—
225	C₄×C₇×Q₈	—	2	1	no	—
226	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₇×D₄	—	2	1	no	—
232	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
234	#6510	—	2	1	no	—
235	#6510	—	2	1	no	—
236	#6510	D₄	1	1	yes	characteristic
237	#6510	C₂³	1	1	yes	characteristic
238	#6509	—	2	1	no	—
239	#6509	—	2	1	no	—
240	#6509	D₄	1	1	yes	characteristic
241	#6509	C₂³	1	1	yes	characteristic
242	#6509	C₂³	1	1	yes	characteristic
243	#6509	C₂³	1	1	yes	characteristic
244	#6509	C₂³	1	1	yes	characteristic
245	#6509	C₂³	1	1	yes	characteristic
246	Q₈×Dic₇	C₂³	1	1	yes	characteristic
247	#6507	—	2	1	no	—
248	C₂×#1143	C₂³	1	1	yes	characteristic
249	C₂×#1143	C₂³	1	1	yes	characteristic
250	#6501	—	2	1	no	—
251	#6501	—	2	1	no	—
252	#6501	C₂³	1	1	yes	characteristic
253	#6501	C₂³	1	1	yes	characteristic
254	#6501	C₂³	1	1	yes	characteristic
255	#6501	C₂³	1	1	yes	characteristic
256	#6500	—	2	1	no	—
257	#6500	—	2	1	no	—
258	#6499	—	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	C₂×#1141	C₂³	1	1	yes	characteristic
263	C₂×#1141	C₂³	1	1	yes	characteristic
264	#6493	—	2	1	no	—
265	#6493	—	2	1	no	—
266	C₄×C₂²⋊D₇	—	2	1	no	—
267	C₄×C₂²⋊D₇	—	2	1	no	—
268	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
269	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
270	#6489	—	2	1	no	—
271	#6489	—	2	1	no	—
272	C₂×D₅₆	C₂³	1	1	yes	characteristic
273	C₂×#1131	C₂³	1	1	yes	characteristic
274	C₂×#1131	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
276	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
277	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
278	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
279	#6461	—	2	1	no	—
280	#6461	—	2	1	no	—
281	#6461	—	2	1	no	—
282	#6461	—	2	1	no	—
283	#6461	—	2	1	no	—
284	#6461	—	2	1	no	—
285	#6461	—	2	1	no	—
286	#6461	D₄	1	1	yes	characteristic
287	#6461	D₄	1	1	yes	characteristic
288	#6460	—	2	1	no	—
289	#6460	—	2	1	no	—
290	#6460	—	2	1	no	—
291	#6460	—	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	—	2	1	no	—
302	#6458	—	2	1	no	—
303	#6458	D₄	1	1	yes	characteristic
304	#6458	C₂³	1	1	yes	characteristic
305	#6458	C₂³	1	1	yes	characteristic
306	#6458	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
315	#6457	D₄	1	1	yes	characteristic
316	#6456	—	2	1	no	—
317	#6456	—	2	1	no	—
318	#6456	—	2	1	no	—
319	#6456	C₂³	1	1	yes	characteristic
320	#6455	—	2	1	no	—
321	#6455	—	2	1	no	—
322	#6455	C₂³	1	1	yes	characteristic
323	#6455	C₂³	1	1	yes	characteristic
324	#6455	C₂³	1	1	yes	characteristic
325	#6455	C₂³	1	1	yes	characteristic
326	#6455	C₂³	1	1	yes	characteristic
327	#6455	C₂³	1	1	yes	characteristic
328	#6455	C₂³	1	1	yes	characteristic
329	D₇×C₄⋊C₄	—	2	1	no	—
330	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	#6453	D₄	1	1	yes	characteristic
333	#6453	C₂³	1	1	yes	characteristic
334	#6452	—	2	1	no	—
335	#6452	—	2	1	no	—
336	#6452	—	2	1	no	—
337	#6452	—	2	1	no	—
338	#6451	—	2	1	no	—
339	#6451	C₂³	1	1	yes	characteristic
340	#6451	C₂³	1	1	yes	characteristic
341	#6450	—	2	1	no	—
342	#6450	—	2	1	no	—
343	#6449	—	2	1	no	—
344	#6449	—	2	1	no	—
345	#6448	—	2	1	no	—
346	#6448	—	2	1	no	—
347	#6448	—	2	1	no	—
348	#6448	—	2	1	no	—
349	#6448	—	2	1	no	—
350	#6448	—	2	1	no	—
351	#6447	—	2	1	no	—
352	#6447	—	2	1	no	—
353	#6446	—	2	1	no	—
354	#6446	—	2	1	no	—
355	#6445	—	2	1	no	—
356	#6445	—	2	1	no	—
357	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
358	(C₂²⋊D₇)⋊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	D₇×C₂²⋊C₄	—	2	1	no	—
363	#6442	—	2	1	no	—
364	#6442	—	2	1	no	—
365	#6441	—	2	1	no	—
366	#6441	—	2	1	no	—
367	#6439	—	2	1	no	—
368	#6439	—	2	1	no	—
369	#6439	—	2	1	no	—
370	#6439	—	2	1	no	—
371	#6438	—	2	1	no	—
372	#6438	—	2	1	no	—
373	#6438	—	2	1	no	—
374	#6438	—	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	C₂³	1	1	yes	characteristic
390	#6435	C₂³	1	1	yes	characteristic
391	C₄²×D₇	—	2	1	no	—
392	C₄²×D₇	C₂³	1	1	yes	characteristic
393	#6433	C₂³	1	1	yes	characteristic
394	#6433	C₂³	1	1	yes	characteristic
395	#6432	C₂³	1	1	yes	characteristic
396	#6432	C₂³	1	1	yes	characteristic
397	#6432	C₂³	1	1	yes	characteristic
398	#6432	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	—	2	1	no	—
400	C₄×Dic₁₄	—	2	1	no	—
401	C₇×#107	C₂³	1	1	yes	characteristic
402	C₇×#106	C₂³	1	1	yes	characteristic
403	C₇×#106	C₂³	1	1	yes	characteristic
404	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×#103	C₂³	1	1	yes	characteristic
408	C₇×#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	#6391	C₂³	1	1	yes	characteristic
448	#6391	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	#3565	—	7	1	no	—
480	#3514	—	7	1	no	—
481	#3386	—	7	1	no	—
482	#3384	—	7	1	no	—
483	#3371	D₇	1	1	yes	characteristic, complemented
484	#3370	—	7	1	no	—
485	#3350	—	7	1	no	—
486	#3349	—	7	1	no	—
487	#3348	—	7	1	no	—
488	#3347	—	7	1	no	—
489	#3341	—	7	1	no	—
490	#3340	—	7	1	no	—
491	#3319	—	7	1	no	—
492	#3318	—	7	1	no	—
493	#3311	—	7	1	no	—
494	#3310	—	7	1	no	—
495	#3297	—	7	1	no	—
496	#3296	—	7	1	no	—
497	#3263	—	7	1	no	—
498	#3262	—	7	1	no	—
499	#3247	—	7	1	no	—
500	#3244	—	7	1	no	—
501	#3243	—	7	1	no	—
502	#3235	—	7	1	no	—
503	#3118	—	7	1	no	—
504	#3118	—	7	1	no	—
505	#3111	—	7	1	no	—
506	#3081	—	7	1	no	—
507	#3081	—	7	1	no	—
508	#3076	—	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	C₂×D₄	1	1	yes	characteristic
514	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₇×D₄	—	2	1	no	—
517	C₂×C₇×D₄	—	2	1	no	—
518	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
519	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₇	—	2	1	no	—
521	C₂²×C₄×C₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂×C₂²⋊D₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂×C₂²⋊D₇	—	2	1	no	—
528	C₂²×Dic₇	—	2	1	no	—
529	C₂²×Dic₇	—	2	1	no	—
530	#1161	—	2	2	no	—
531	#1161	—	4	1	no	—
532	Q₈×D₇	—	8	2	no	—
533	#1159	—	8	2	no	—
534	D₄×D₇	—	2	2	no	—
535	D₄×D₇	—	2	2	no	—
536	D₄×D₇	—	4	1	no	—
537	D₄×D₇	—	4	1	no	—
538	D₄×D₇	—	8	2	no	—
539	C₂×D₂₈	—	2	1	no	—
540	C₂×D₂₈	—	2	1	no	—
541	C₂×D₂₈	—	2	1	no	—
542	C₂×D₂₈	—	2	1	no	—
543	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
544	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
545	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
546	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
547	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₇	—	2	1	no	—
549	C₂×C₄×D₇	—	2	1	no	—
550	C₂×C₄×D₇	—	2	1	no	—
551	C₂×C₄×D₇	—	2	1	no	—
552	C₂×C₄×D₇	—	2	1	no	—
553	C₂×C₄×D₇	—	2	1	no	—
554	C₂×C₄×D₇	—	2	1	no	—
555	C₂×C₄×D₇	—	2	1	no	—
556	C₂×C₄×D₇	—	2	1	no	—
557	C₂×C₄×D₇	—	2	1	no	—
558	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₁₄	—	2	1	no	—
564	C₂×Dic₁₄	—	2	1	no	—
565	C₂×Dic₁₄	—	2	1	no	—
566	C₂×Dic₁₄	—	2	1	no	—
567	C₂×Dic₁₄	—	2	1	no	—
568	C₂×Dic₁₄	—	2	1	no	—
569	C₇×Q₁₆	—	4	1	no	—
570	C₇×SD₁₆	—	4	1	no	—
571	C₇×SD₁₆	—	4	1	no	—
572	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
581	C₇×C₄⋊C₄	—	2	1	no	—
582	C₇×C₄⋊C₄	—	2	1	no	—
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₇×C₂²⋊C₄	—	2	1	no	—
593	C₇×C₂²⋊C₄	—	2	1	no	—
594	C₇×C₂²⋊C₄	—	2	1	no	—
595	C₇×C₂²⋊C₄	—	2	1	no	—
596	C₇×C₂²⋊C₄	—	2	1	no	—
597	C₇×C₂²⋊C₄	—	2	1	no	—
598	C₄²×C₇	—	2	1	no	—
599	C₄²×C₇	—	2	1	no	—
600	C₄²×C₇	—	2	1	no	—
601	C₄²×C₇	—	2	1	no	—
602	C₄²×C₇	C₂⁴	1	1	yes	characteristic
603	C₄²×C₇	C₂⁴	1	1	yes	characteristic
604	C₄²×C₇	C₂⁴	1	1	yes	characteristic
605	C₂²⋊Dic₇	—	2	1	no	—
606	C₂²⋊Dic₇	—	2	1	no	—
607	C₂²⋊Dic₇	—	2	1	no	—
608	C₂²⋊Dic₇	—	2	1	no	—
609	C₂²⋊Dic₇	—	2	1	no	—
610	C₂²⋊Dic₇	—	2	1	no	—
611	#1143	—	2	2	no	—
612	#1143	—	4	1	no	—
613	#1141	—	4	1	no	—
614	#1141	—	4	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	—	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	C₂×D₄	1	1	yes	characteristic
640	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
641	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
642	(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	C₄⋊Dic₇	—	2	1	no	—
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	—	2	1	no	—
655	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₇	C₂×D₄	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	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
679	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
680	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
681	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
694	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
695	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
696	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
697	D₅₆	—	2	2	no	—
698	#1131	—	4	1	no	—
699	#1131	—	4	1	no	—
700	C₈×D₇	—	4	1	no	—
701	C₈×D₇	—	4	1	no	—
702	C₈×D₇	—	4	1	no	—
703	C₈×D₇	—	4	1	no	—
704	#563	—	14	1	no	—
705	#562	—	14	1	no	—
706	#559	C₂×D₇	1	1	yes	characteristic
707	#557	C₂×D₇	1	1	yes	characteristic, complemented
708	#556	—	7	1	no	—
709	#556	—	7	1	no	—
710	#556	—	14	1	no	—
711	#555	—	7	1	no	—
712	#555	—	7	1	no	—
713	#555	—	7	1	no	—
714	#554	—	7	1	no	—
715	#553	—	7	1	no	—
716	#553	—	7	1	no	—
717	#552	—	7	1	no	—
718	#552	—	7	1	no	—
719	#552	—	14	1	no	—
720	#551	—	14	1	no	—
721	#551	—	14	1	no	—
722	D₄×Q₈	—	7	1	no	—
723	#548	—	14	1	no	—
724	#546	—	7	1	no	—
725	#546	—	7	1	no	—
726	#546	—	14	1	no	—
727	D₄²	—	7	1	no	—
728	#544	—	7	1	no	—
729	#544	—	7	1	no	—
730	#542	—	7	1	no	—
731	#542	—	7	1	no	—
732	#542	—	7	1	no	—
733	#542	—	7	1	no	—
734	#542	—	14	1	no	—
735	#542	—	14	1	no	—
736	#541	—	14	1	no	—
737	#539	—	14	1	no	—
738	#538	—	14	1	no	—
739	#538	—	14	1	no	—
740	#533	—	7	1	no	—
741	#532	—	7	1	no	—
742	#529	—	7	1	no	—
743	#529	—	7	1	no	—
744	#529	—	14	1	no	—
745	C₂×#124	—	14	1	no	—
746	#518	—	7	1	no	—
747	#518	—	7	1	no	—
748	C₄×#41	—	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	#498	—	7	1	no	—
755	#490	—	7	1	no	—
756	#490	C₂×D₇	1	1	yes	characteristic
757	#489	—	7	1	no	—
758	#489	C₂×D₇	1	1	yes	characteristic, complemented
759	#488	—	7	1	no	—
760	#488	C₂×D₇	1	1	yes	characteristic, complemented
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#484	—	7	1	no	—
767	#483	—	7	1	no	—
768	#482	—	7	1	no	—
769	#482	—	7	1	no	—
770	#482	—	7	1	no	—
771	#482	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	—	7	1	no	—
774	#482	—	7	1	no	—
775	#482	—	7	1	no	—
776	#482	—	7	1	no	—
777	#481	—	7	1	no	—
778	#480	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	C₂×D₇	1	1	yes	characteristic, complemented
782	#478	—	7	1	no	—
783	#478	—	7	1	no	—
784	#478	—	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	C₂×D₇	1	1	yes	characteristic, complemented
791	#477	—	7	1	no	—
792	#477	—	7	1	no	—
793	#477	—	7	1	no	—
794	#476	—	7	1	no	—
795	#476	—	7	1	no	—
796	#476	—	7	1	no	—
797	#476	—	7	1	no	—
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#476	C₂×D₇	1	1	yes	characteristic, complemented
801	#475	—	7	1	no	—
802	#475	—	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	#470	—	7	1	no	—
810	#469	—	7	1	no	—
811	#468	—	7	1	no	—
812	#468	—	7	1	no	—
813	#467	—	7	1	no	—
814	#466	—	7	1	no	—
815	#466	—	7	1	no	—
816	#466	—	7	1	no	—
817	#465	—	7	1	no	—
818	#465	—	7	1	no	—
819	#465	—	7	1	no	—
820	#465	—	7	1	no	—
821	#464	—	7	1	no	—
822	#464	C₂×D₇	1	1	yes	characteristic, complemented
823	#464	C₂×D₇	1	1	yes	characteristic, complemented
824	#463	—	7	1	no	—
825	#463	—	7	1	no	—
826	#463	—	7	1	no	—
827	#463	—	7	1	no	—
828	#463	—	7	1	no	—
829	#460	C₂×D₇	1	1	yes	characteristic
830	#459	—	7	1	no	—
831	#452	—	7	1	no	—
832	#450	—	7	1	no	—
833	#450	—	7	1	no	—
834	#449	—	7	1	no	—
835	#447	—	7	1	no	—
836	#447	—	7	1	no	—
837	#446	—	7	1	no	—
838	#446	C₂×D₇	1	1	yes	characteristic, complemented
839	#442	—	7	1	no	—
840	#442	—	7	1	no	—
841	#442	—	7	1	no	—
842	#441	C₂×D₇	1	1	yes	characteristic, complemented
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	C₂×D₇	1	1	yes	characteristic, complemented
847	C₄×SD₁₆	—	7	1	no	—
848	C₄×SD₁₆	C₂×D₇	1	1	yes	characteristic, complemented
849	C₄×D₈	—	7	1	no	—
850	C₄×D₈	—	7	1	no	—
851	#435	—	7	1	no	—
852	#435	—	7	1	no	—
853	#435	—	7	1	no	—
854	#435	—	7	1	no	—
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	#427	—	7	1	no	—
863	#427	—	7	1	no	—
864	#427	—	7	1	no	—
865	#427	—	7	1	no	—
866	#424	—	7	1	no	—
867	#424	—	7	1	no	—
868	C₂×C₄⋊C₈	—	7	1	no	—
869	#418	—	7	1	no	—
870	#418	—	7	1	no	—
871	#416	—	7	1	no	—
872	#416	—	7	1	no	—
873	C₂×#102	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂³×C₇	—	2	1	no	—
876	C₂³×C₇	—	2	1	no	—
877	C₂²×D₇	—	2	1	no	—
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	—	8	1	no	—
883	C₂²×D₇	—	8	1	no	—
884	C₂²×D₇	—	8	1	no	—
885	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
886	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
887	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
888	C₇×Q₈	—	2	1	no	—
889	C₇×Q₈	—	2	1	no	—
890	C₇×Q₈	—	2	1	no	—
891	C₇×Q₈	—	2	1	no	—
892	C₇×Q₈	—	4	1	no	—
893	C₇×Q₈	—	8	1	no	—
894	C₇×D₄	—	2	1	no	—
895	C₇×D₄	—	2	1	no	—
896	C₇×D₄	—	2	1	no	—
897	C₇×D₄	—	2	1	no	—
898	C₇×D₄	—	4	2	no	—
899	C₇×D₄	—	8	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	—	2	1	no	—
906	C₂×C₄×C₇	—	8	1	no	—
907	C₂×C₄×C₇	—	8	1	no	—
908	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
915	C₂²⋊D₇	—	4	2	no	—
916	C₂²⋊D₇	—	4	2	no	—
917	C₂²⋊D₇	—	8	1	no	—
918	C₂²⋊D₇	—	8	1	no	—
919	C₂²⋊D₇	—	8	1	no	—
920	C₂²⋊D₇	—	8	1	no	—
921	C₂×Dic₇	—	2	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	—	2	1	no	—
927	C₂×Dic₇	—	8	1	no	—
928	C₂×Dic₇	—	8	1	no	—
929	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
930	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
933	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
934	D₂₈	—	2	1	no	—
935	D₂₈	—	2	1	no	—
936	D₂₈	—	2	1	no	—
937	D₂₈	—	4	1	no	—
938	D₂₈	—	4	1	no	—
939	D₂₈	—	4	1	no	—
940	D₂₈	—	4	2	no	—
941	D₂₈	—	8	1	no	—
942	D₂₈	—	8	1	no	—
943	D₂₈	—	8	1	no	—
944	D₂₈	2₋¹⁺⁴	1	2	yes	—
945	C₄×D₇	—	2	1	no	—
946	C₄×D₇	—	2	1	no	—
947	C₄×D₇	—	2	1	no	—
948	C₄×D₇	—	2	1	no	—
949	C₄×D₇	—	2	1	no	—
950	C₄×D₇	—	2	1	no	—
951	C₄×D₇	—	4	1	no	—
952	C₄×D₇	—	4	1	no	—
953	C₄×D₇	—	4	2	no	—
954	C₄×D₇	—	4	2	no	—
955	C₄×D₇	—	8	1	no	—
956	C₄×D₇	—	8	1	no	—
957	C₄×D₇	—	8	1	no	—
958	C₄×D₇	—	8	1	no	—
959	C₄×D₇	—	8	1	no	—
960	C₄×D₇	—	8	1	no	—
961	C₄×D₇	—	8	1	no	—
962	C₄×D₇	—	8	1	no	—
963	Dic₁₄	—	4	2	no	—
964	Dic₁₄	—	8	1	no	—
965	Dic₁₄	—	8	1	no	—
966	Dic₁₄	—	8	1	no	—
967	Dic₁₄	—	8	1	no	—
968	Dic₁₄	—	8	1	no	—
969	C₇×C₈	—	2	1	no	—
970	C₇×C₈	—	2	1	no	—
971	C₇×C₈	—	2	1	no	—
972	C₇×C₈	—	2	1	no	—
973	C₇⋊C₈	—	2	1	no	—
974	C₇⋊C₈	—	2	1	no	—
975	C₇⋊C₈	—	2	1	no	—
976	C₇⋊C₈	—	2	1	no	—
977	C₂×#41	—	7	1	no	—
978	C₂×#41	—	14	1	no	—
979	C₂²×Q₈	—	14	1	no	—
980	C₂²×D₄	—	7	1	no	—
981	C₂²×D₄	—	7	1	no	—
982	C₂²×D₄	—	14	1	no	—
983	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
984	C₂×SD₁₆	—	7	1	no	—
985	C₂×SD₁₆	—	7	1	no	—
986	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
987	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
988	C₂×D₈	—	7	1	no	—
989	C₂×D₈	—	7	1	no	—
990	C₂×D₈	—	7	1	no	—
991	C₂×M₁₆	—	7	1	no	—
992	C₂×M₁₆	—	7	1	no	—
993	C₂²×C₈	—	7	1	no	—
994	C₂²×C₈	—	7	1	no	—
995	C₂²×C₈	—	7	1	no	—
996	C₂²×C₈	—	7	1	no	—
997	C₄⋊Q₈	—	2	1	no	—
998	C₄⋊Q₈	—	7	1	no	—
999	C₄⋊Q₈	—	7	1	no	—
1000	C₄⋊Q₈	—	7	1	no	—
1001	C₄⋊Q₈	—	7	1	no	—
1002	C₄⋊Q₈	—	7	1	no	—
1003	C₄⋊Q₈	—	7	1	no	—
1004	C₄⋊Q₈	—	14	1	no	—
1005	C₄⋊Q₈	—	14	1	no	—
1006	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1007	#127	C₂²×D₇	1	1	yes	characteristic
1008	#126	—	7	1	no	—
1009	#126	—	7	1	no	—
1010	#126	—	14	1	no	—
1011	#126	—	14	1	no	—
1012	#126	—	14	1	no	—
1013	#126	—	14	1	no	—
1014	#126	—	14	1	no	—
1015	#126	—	14	1	no	—
1016	#126	—	14	1	no	—
1017	#126	—	14	1	no	—
1018	#126	—	14	1	no	—
1019	#126	—	14	1	no	—
1020	#126	—	14	1	no	—
1021	#126	—	14	1	no	—
1022	#126	—	14	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	2	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	—	7	1	no	—
1028	#125	—	7	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	C₂²×D₇	1	1	yes	characteristic
1034	#125	C₂²×D₇	1	1	yes	characteristic
1035	#124	—	2	1	no	—
1036	#124	—	7	1	no	—
1037	#124	—	7	1	no	—
1038	#124	—	14	1	no	—
1039	#124	—	14	1	no	—
1040	#124	—	14	1	no	—
1041	#124	—	14	1	no	—
1042	#124	—	14	1	no	—
1043	#124	—	14	1	no	—
1044	#124	—	14	1	no	—
1045	#124	—	14	1	no	—
1046	#124	—	14	1	no	—
1047	#124	—	14	1	no	—
1048	#124	—	14	1	no	—
1049	#124	—	14	1	no	—
1050	#124	—	14	1	no	—
1051	#124	C₂²×D₇	1	1	yes	characteristic
1052	#124	C₂²×D₇	1	1	yes	characteristic
1053	#123	—	2	1	no	—
1054	#123	—	2	1	no	—
1055	#123	—	7	1	no	—
1056	#123	—	7	1	no	—
1057	#123	—	14	1	no	—
1058	#123	—	14	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	C₂²⋊Q₈	—	7	1	no	—
1069	C₂²⋊Q₈	—	7	1	no	—
1070	C₂²⋊Q₈	—	7	1	no	—
1071	C₂²⋊Q₈	—	7	1	no	—
1072	C₂²⋊Q₈	—	7	1	no	—
1073	C₂²⋊Q₈	—	7	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	—	14	1	no	—
1090	#121	—	7	1	no	—
1091	#121	—	7	1	no	—
1092	#121	—	7	1	no	—
1093	#121	—	7	1	no	—
1094	#121	—	7	1	no	—
1095	#121	—	7	1	no	—
1096	#121	—	7	1	no	—
1097	#121	—	7	1	no	—
1098	#121	—	14	1	no	—
1099	#121	—	14	1	no	—
1100	#121	—	14	1	no	—
1101	#121	—	14	1	no	—
1102	#121	—	14	1	no	—
1103	#121	—	14	1	no	—
1104	#121	—	14	1	no	—
1105	#121	—	14	1	no	—
1106	#121	—	14	1	no	—
1107	#120	—	14	1	no	—
1108	#120	—	14	1	no	—
1109	#120	—	14	1	no	—
1110	#120	—	14	1	no	—
1111	C₄×Q₈	—	2	1	no	—
1112	C₄×Q₈	—	7	1	no	—
1113	C₄×Q₈	—	14	1	no	—
1114	C₄×Q₈	—	14	1	no	—
1115	C₄×Q₈	—	14	1	no	—
1116	C₄×Q₈	—	14	1	no	—
1117	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1118	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1119	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1120	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1121	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1122	C₄×D₄	—	2	1	no	—
1123	C₄×D₄	—	7	1	no	—
1124	C₄×D₄	—	7	1	no	—
1125	C₄×D₄	—	7	1	no	—
1126	C₄×D₄	—	7	1	no	—
1127	C₄×D₄	—	7	1	no	—
1128	C₄×D₄	—	7	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	—	14	1	no	—
1136	C₄×D₄	—	14	1	no	—
1137	C₄×D₄	—	14	1	no	—
1138	C₄×D₄	—	14	1	no	—
1139	C₄×D₄	—	14	1	no	—
1140	C₄×D₄	—	14	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	C₂²×D₇	1	1	yes	characteristic
1146	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1147	#117	—	7	1	no	—
1148	#117	—	7	1	no	—
1149	#117	—	7	1	no	—
1150	#117	—	7	1	no	—
1151	#117	—	7	1	no	—
1152	#117	—	7	1	no	—
1153	#117	—	7	1	no	—
1154	#117	—	7	1	no	—
1155	#117	—	7	1	no	—
1156	#117	—	14	1	no	—
1157	#117	—	14	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	C₂×C₄⋊C₄	—	7	1	no	—
1164	C₂×C₄⋊C₄	—	7	1	no	—
1165	C₂×C₄⋊C₄	—	14	1	no	—
1166	C₂×C₂²⋊C₄	—	14	1	no	—
1167	C₂×C₂²⋊C₄	—	14	1	no	—
1168	C₂×C₂²⋊C₄	—	14	1	no	—
1169	C₂×C₂²⋊C₄	—	14	1	no	—
1170	C₂×C₂²⋊C₄	—	14	1	no	—
1171	C₂×C₂²⋊C₄	—	14	1	no	—
1172	C₂×C₄²	—	7	1	no	—
1173	C₂×C₄²	—	14	1	no	—
1174	#107	—	7	1	no	—
1175	#107	—	7	1	no	—
1176	#107	—	7	1	no	—
1177	#107	—	7	1	no	—
1178	#107	—	7	1	no	—
1179	#107	—	7	1	no	—
1180	#107	—	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	C₂²×D₇	1	1	yes	characteristic
1186	#106	—	7	1	no	—
1187	#106	—	7	1	no	—
1188	#106	—	7	1	no	—
1189	#106	—	7	1	no	—
1190	#106	—	7	1	no	—
1191	#106	—	7	1	no	—
1192	#106	—	7	1	no	—
1193	#106	—	7	1	no	—
1194	#106	—	7	1	no	—
1195	#106	—	7	1	no	—
1196	#106	C₂²×D₇	1	1	yes	characteristic
1197	#106	C₂²×D₇	1	1	yes	characteristic
1198	C₄⋊C₈	—	7	1	no	—
1199	C₄⋊C₈	—	7	1	no	—
1200	C₄⋊C₈	—	7	1	no	—
1201	C₄⋊C₈	—	7	1	no	—
1202	C₄⋊C₈	—	7	1	no	—
1203	C₄⋊C₈	—	7	1	no	—
1204	C₄⋊C₈	—	7	1	no	—
1205	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1206	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1207	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1208	#103	—	7	1	no	—
1209	#103	—	7	1	no	—
1210	#103	—	7	1	no	—
1211	#103	—	7	1	no	—
1212	#103	—	7	1	no	—
1213	#103	—	7	1	no	—
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	—	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	C₂²×D₇	1	1	yes	characteristic
1235	#102	C₂²×D₇	1	1	yes	characteristic
1236	#102	C₂²×D₇	1	1	yes	characteristic
1237	#102	C₂²×D₇	1	1	yes	characteristic
1238	#102	C₂²×D₇	1	1	yes	characteristic
1239	#102	C₂²×D₇	1	1	yes	characteristic
1240	C₂²⋊C₈	—	7	1	no	—
1241	C₂²⋊C₈	—	7	1	no	—
1242	C₂²⋊C₈	—	7	1	no	—
1243	C₂²⋊C₈	—	7	1	no	—
1244	C₂²⋊C₈	—	7	1	no	—
1245	C₂²⋊C₈	—	7	1	no	—
1246	#97	—	7	1	no	—
1247	#97	—	7	1	no	—
1248	#97	C₂²×D₇	1	1	yes	characteristic
1249	#97	C₂²×D₇	1	1	yes	characteristic
1250	C₄×C₈	—	7	1	no	—
1251	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1252	C₂²×C₇	—	4	1	no	—
1253	C₂²×C₇	—	4	1	no	—
1254	C₂²×C₇	—	4	1	no	—
1255	C₂²×C₇	—	4	1	no	—
1256	C₂²×C₇	—	4	1	no	—
1257	C₂²×C₇	—	4	1	no	—
1258	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1259	C₂×D₇	—	2	1	no	—
1260	C₂×D₇	—	2	1	no	—
1261	C₂×D₇	—	2	1	no	—
1262	C₂×D₇	—	2	1	no	—
1263	C₂×D₇	—	2	1	no	—
1264	C₂×D₇	—	2	1	no	—
1265	C₂×D₇	—	2	1	no	—
1266	C₂×D₇	—	2	1	no	—
1267	C₂×D₇	—	2	1	no	—
1268	C₂×D₇	—	2	2	no	—
1269	C₂×D₇	—	4	1	no	—
1270	C₂×D₇	—	4	1	no	—
1271	C₂×D₇	—	4	1	no	—
1272	C₂×D₇	—	4	1	no	—
1273	C₂×D₇	—	4	1	no	—
1274	C₂×D₇	—	16	2	no	—
1275	C₂×D₇	—	16	2	no	—
1276	C₄×C₇	—	2	1	no	—
1277	C₄×C₇	—	2	1	no	—
1278	C₄×C₇	—	2	1	no	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	4	1	no	—
1283	C₄×C₇	—	4	1	no	—
1284	C₄×C₇	—	4	1	no	—
1285	C₄×C₇	—	4	1	no	—
1286	C₄×C₇	—	4	1	no	—
1287	C₄×C₇	—	4	1	no	—
1288	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1289	C₄×C₇	#585	1	1	yes	characteristic
1290	Dic₇	—	2	1	no	—
1291	Dic₇	—	2	1	no	—
1292	Dic₇	—	2	1	no	—
1293	Dic₇	—	2	1	no	—
1294	Dic₇	—	2	1	no	—
1295	Dic₇	—	4	1	no	—
1296	Dic₇	—	4	1	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	Dic₇	—	4	1	no	—
1301	C₂⁴	—	14	1	no	—
1302	C₂⁴	—	14	1	no	—
1303	#41	—	14	2	no	—
1304	#41	—	28	1	no	—
1305	#41	—	56	2	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	14	1	no	—
1308	C₂×Q₈	—	14	1	no	—
1309	C₂×Q₈	—	14	1	no	—
1310	C₂×Q₈	—	14	1	no	—
1311	C₂×Q₈	—	14	1	no	—
1312	C₂×Q₈	—	14	1	no	—
1313	C₂×Q₈	—	56	2	no	—
1314	C₂×Q₈	D₄×D₇	1	1	yes	characteristic
1315	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1316	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	7	1	no	—
1320	C₂×D₄	—	7	1	no	—
1321	C₂×D₄	—	7	1	no	—
1322	C₂×D₄	—	7	1	no	—
1323	C₂×D₄	—	7	1	no	—
1324	C₂×D₄	—	14	1	no	—
1325	C₂×D₄	—	14	1	no	—
1326	C₂×D₄	—	14	1	no	—
1327	C₂×D₄	—	14	1	no	—
1328	C₂×D₄	—	14	1	no	—
1329	C₂×D₄	—	14	1	no	—
1330	C₂×D₄	—	14	2	no	—
1331	C₂×D₄	—	14	2	no	—
1332	C₂×D₄	—	14	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	—	14	1	no	—
1335	C₂×D₄	—	14	1	no	—
1336	C₂×D₄	—	28	1	no	—
1337	C₂×D₄	—	28	1	no	—
1338	C₂×D₄	—	56	2	no	—
1339	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1340	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	7	1	no	—
1344	C₂²×C₄	—	7	1	no	—
1345	C₂²×C₄	—	7	1	no	—
1346	C₂²×C₄	—	7	1	no	—
1347	C₂²×C₄	—	7	1	no	—
1348	C₂²×C₄	—	14	1	no	—
1349	C₂²×C₄	—	14	1	no	—
1350	C₂²×C₄	—	14	1	no	—
1351	C₂²×C₄	—	14	1	no	—
1352	C₂²×C₄	—	14	1	no	—
1353	C₂²×C₄	—	14	1	no	—
1354	C₂²×C₄	—	14	1	no	—
1355	C₂²×C₄	—	14	1	no	—
1356	C₂²×C₄	—	14	1	no	—
1357	C₂²×C₄	—	14	1	no	—
1358	C₂²×C₄	—	14	1	no	—
1359	C₂²×C₄	—	14	1	no	—
1360	Q₁₆	—	4	1	no	—
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	14	2	no	—
1364	SD₁₆	—	28	1	no	—
1365	D₈	—	14	2	no	—
1366	D₈	—	28	1	no	—
1367	D₈	—	28	1	no	—
1368	M₁₆	—	28	1	no	—
1369	M₁₆	—	28	1	no	—
1370	C₂×C₈	—	7	1	no	—
1371	C₂×C₈	—	7	1	no	—
1372	C₂×C₈	—	7	1	no	—
1373	C₂×C₈	—	7	1	no	—
1374	C₂×C₈	—	28	1	no	—
1375	C₂×C₈	—	28	1	no	—
1376	C₂×C₈	—	28	1	no	—
1377	C₂×C₈	—	28	1	no	—
1378	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1379	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1380	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1381	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	7	1	no	—
1392	C₄⋊C₄	—	7	1	no	—
1393	C₄⋊C₄	—	7	1	no	—
1394	C₄⋊C₄	—	7	1	no	—
1395	C₄⋊C₄	—	7	1	no	—
1396	C₄⋊C₄	—	7	1	no	—
1397	C₄⋊C₄	—	7	1	no	—
1398	C₄⋊C₄	—	7	1	no	—
1399	C₄⋊C₄	—	7	1	no	—
1400	C₄⋊C₄	—	7	1	no	—
1401	C₄⋊C₄	—	7	1	no	—
1402	C₄⋊C₄	—	7	1	no	—
1403	C₄⋊C₄	—	7	1	no	—
1404	C₄⋊C₄	—	14	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	—	14	1	no	—
1408	C₄⋊C₄	—	14	1	no	—
1409	C₄⋊C₄	—	14	1	no	—
1410	C₄⋊C₄	—	14	1	no	—
1411	C₄⋊C₄	—	14	1	no	—
1412	C₄⋊C₄	—	14	1	no	—
1413	C₄⋊C₄	—	14	1	no	—
1414	C₄⋊C₄	—	14	1	no	—
1415	C₄⋊C₄	—	14	1	no	—
1416	C₄⋊C₄	—	14	1	no	—
1417	C₄⋊C₄	—	14	1	no	—
1418	C₄⋊C₄	—	14	1	no	—
1419	C₄⋊C₄	—	14	1	no	—
1420	C₄⋊C₄	—	14	1	no	—
1421	C₄⋊C₄	—	14	1	no	—
1422	C₄⋊C₄	—	14	1	no	—
1423	C₄⋊C₄	—	14	1	no	—
1424	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1425	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1426	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1428	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	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	—	7	1	no	—
1443	C₂²⋊C₄	—	7	1	no	—
1444	C₂²⋊C₄	—	7	1	no	—
1445	C₂²⋊C₄	—	7	1	no	—
1446	C₂²⋊C₄	—	7	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	C₂²⋊C₄	—	14	1	no	—
1449	C₂²⋊C₄	—	14	1	no	—
1450	C₂²⋊C₄	—	14	1	no	—
1451	C₂²⋊C₄	—	14	1	no	—
1452	C₂²⋊C₄	—	14	1	no	—
1453	C₂²⋊C₄	—	14	1	no	—
1454	C₂²⋊C₄	—	14	1	no	—
1455	C₂²⋊C₄	—	14	1	no	—
1456	C₂²⋊C₄	—	14	1	no	—
1457	C₂²⋊C₄	—	14	1	no	—
1458	C₂²⋊C₄	—	14	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	—	14	1	no	—
1461	C₂²⋊C₄	—	14	1	no	—
1462	C₂²⋊C₄	—	14	1	no	—
1463	C₂²⋊C₄	—	14	1	no	—
1464	C₂²⋊C₄	—	14	1	no	—
1465	C₂²⋊C₄	—	14	1	no	—
1466	C₂²⋊C₄	—	14	1	no	—
1467	C₂²⋊C₄	—	14	1	no	—
1468	C₂²⋊C₄	—	14	1	no	—
1469	C₂²⋊C₄	—	14	1	no	—
1470	C₂²⋊C₄	—	14	1	no	—
1471	C₂²⋊C₄	—	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	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	7	1	no	—
1482	C₄²	—	7	1	no	—
1483	C₄²	—	7	1	no	—
1484	C₄²	—	14	1	no	—
1485	C₄²	—	14	1	no	—
1486	C₄²	—	14	1	no	—
1487	C₄²	—	14	1	no	—
1488	C₄²	—	14	1	no	—
1489	C₄²	—	14	1	no	—
1490	C₄²	—	14	1	no	—
1491	C₄²	—	14	1	no	—
1492	C₄²	C₂³×D₇	1	1	yes	characteristic
1493	C₄²	C₂³×D₇	1	1	yes	characteristic
1494	C₄²	C₂³×D₇	1	1	yes	characteristic
1495	C₂×C₇	—	8	1	no	—
1496	C₂×C₇	—	8	1	no	—
1497	C₂×C₇	#3489	1	1	yes	characteristic
1498	C₂×C₇	#3584	1	1	yes	characteristic
1499	C₂×C₇	#3585	1	1	yes	characteristic
1500	D₇	—	4	1	no	—
1501	D₇	—	4	1	no	—
1502	D₇	—	4	1	no	—
1503	D₇	—	4	2	no	—
1504	D₇	—	8	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	7	1	no	—
1508	C₂³	—	7	1	no	—
1509	C₂³	—	7	1	no	—
1510	C₂³	—	14	1	no	—
1511	C₂³	—	14	1	no	—
1512	C₂³	—	28	2	no	—
1513	C₂³	—	28	2	no	—
1514	C₂³	—	56	1	no	—
1515	C₂³	—	56	1	no	—
1516	C₂³	—	56	1	no	—
1517	C₂³	—	56	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	2	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	4	1	no	—
1523	Q₈	—	8	1	no	—
1524	Q₈	—	28	2	no	—
1525	Q₈	—	56	1	no	—
1526	Q₈	—	56	1	no	—
1527	Q₈	—	56	1	no	—
1528	Q₈	—	56	1	no	—
1529	Q₈	—	56	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	2	1	no	—
1534	D₄	—	4	2	no	—
1535	D₄	—	7	2	no	—
1536	D₄	—	8	1	no	—
1537	D₄	—	14	1	no	—
1538	D₄	—	14	1	no	—
1539	D₄	—	14	1	no	—
1540	D₄	—	28	1	no	—
1541	D₄	—	28	1	no	—
1542	D₄	—	28	1	no	—
1543	D₄	—	28	2	no	—
1544	D₄	—	28	2	no	—
1545	D₄	—	28	2	no	—
1546	D₄	—	56	1	no	—
1547	D₄	—	56	1	no	—
1548	D₄	—	56	1	no	—
1549	D₄	—	56	1	no	—
1550	D₄	—	56	1	no	—
1551	D₄	—	56	1	no	—
1552	D₄	—	56	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	7	1	no	—
1560	C₂×C₄	—	7	1	no	—
1561	C₂×C₄	—	7	1	no	—
1562	C₂×C₄	—	7	1	no	—
1563	C₂×C₄	—	7	1	no	—
1564	C₂×C₄	—	8	1	no	—
1565	C₂×C₄	—	8	1	no	—
1566	C₂×C₄	—	14	1	no	—
1567	C₂×C₄	—	14	1	no	—
1568	C₂×C₄	—	14	1	no	—
1569	C₂×C₄	—	14	1	no	—
1570	C₂×C₄	—	14	1	no	—
1571	C₂×C₄	—	14	1	no	—
1572	C₂×C₄	—	14	1	no	—
1573	C₂×C₄	—	14	1	no	—
1574	C₂×C₄	—	14	1	no	—
1575	C₂×C₄	—	14	1	no	—
1576	C₂×C₄	—	14	1	no	—
1577	C₂×C₄	—	14	1	no	—
1578	C₂×C₄	—	28	1	no	—
1579	C₂×C₄	—	28	1	no	—
1580	C₂×C₄	—	28	2	no	—
1581	C₂×C₄	—	28	2	no	—
1582	C₂×C₄	—	56	1	no	—
1583	C₂×C₄	—	56	1	no	—
1584	C₂×C₄	—	56	1	no	—
1585	C₂×C₄	—	56	1	no	—
1586	C₂×C₄	—	56	1	no	—
1587	C₂×C₄	—	56	1	no	—
1588	C₂×C₄	—	56	1	no	—
1589	C₂×C₄	—	56	1	no	—
1590	C₂×C₄	—	56	1	no	—
1591	C₂×C₄	—	56	1	no	—
1592	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1593	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1594	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1598	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	14	1	no	—
1604	C₈	—	14	1	no	—
1605	C₈	—	14	1	no	—
1606	C₈	—	14	1	no	—
1607	C₇	#62159	1	1	yes	characteristic, complemented, Sylow
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	14	1	no	—
1615	C₂²	—	14	1	no	—
1616	C₂²	—	14	1	no	—
1617	C₂²	—	14	1	no	—
1618	C₂²	—	14	1	no	—
1619	C₂²	—	14	1	no	—
1620	C₂²	—	14	1	no	—
1621	C₂²	—	14	1	no	—
1622	C₂²	—	14	1	no	—
1623	C₂²	—	14	2	no	—
1624	C₂²	—	28	1	no	—
1625	C₂²	—	28	1	no	—
1626	C₂²	—	28	1	no	—
1627	C₂²	—	28	1	no	—
1628	C₂²	—	28	1	no	—
1629	C₂²	—	112	2	no	—
1630	C₂²	—	112	2	no	—
1631	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	14	1	no	—
1645	C₄	—	14	1	no	—
1646	C₄	—	14	1	no	—
1647	C₄	—	14	1	no	—
1648	C₄	—	14	1	no	—
1649	C₄	—	28	1	no	—
1650	C₄	—	28	1	no	—
1651	C₄	—	28	1	no	—
1652	C₄	—	28	1	no	—
1653	C₄	—	28	1	no	—
1654	C₄	—	28	1	no	—
1655	C₄	#90616	1	1	yes	characteristic
1656	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1657	C₂	—	8	1	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	28	1	no	—
1660	C₂	—	28	1	no	—
1661	C₂	—	28	1	no	—
1662	C₂	—	28	2	no	—
1663	C₂	—	56	1	no	—
1664	C₂	#11743782	1	1	yes	characteristic
1665	C₂	#11744268	1	1	yes	characteristic
1666	C₂	#11744274	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×#3371	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3371	D₇
hypocenter	C₇	#62159
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3371

Complements

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

N	H ≅ G/N	type
1. #11744122	C₂	semidirect
2. #11744097	C₂	semidirect
3. C₇×#3371	C₂	semidirect
4. #11741159	C₂	semidirect
5. #11741139	C₂	semidirect
6. #11739172	C₂	semidirect
7. #11739167	C₂	semidirect
8. #11739147	C₂	semidirect
9. #11739139	C₂	semidirect
10. #11739098	C₂	semidirect
11. #11739096	C₂	semidirect
12. #11738703	C₂	semidirect
13. #11738674	C₂	semidirect
14. #11738643	C₂	semidirect
15. #11738613	C₂	semidirect
16. #11738527	C₂	semidirect
17. #11738507	C₂	semidirect
18. #11738071	C₂	semidirect
19. #11738070	C₂	semidirect
20. #11738062	C₂	semidirect
21. #11738060	C₂	semidirect
22. #11737846	C₂	semidirect
23. #11737842	C₂	semidirect
24. #11737420	C₂	semidirect
25. #11737391	C₂	semidirect
26. #11737292	C₂	semidirect
27. #11737291	C₂	semidirect
28. #11737253	C₂	semidirect
29. #11737230	C₂	semidirect
30. #11737141	C₂	semidirect
31. #11737135	C₂	semidirect
33. C₇×#557	C₂²	semidirect
35. #90425	C₂²	semidirect
37. #90420	C₂²	semidirect
43. #90386	C₂²	semidirect
46. #90380	C₂²	semidirect
47. #90379	C₂²	semidirect
59. #90275	C₂²	semidirect
61. #90273	C₂²	semidirect
62. #90273	C₂²	semidirect
64. #90272	C₂²	semidirect
66. #90271	C₂²	semidirect
67. #90270	C₂²	semidirect
78. C₇×#489	C₂²	semidirect
79. C₇×#488	C₂²	semidirect
80. C₇×#479	C₂²	semidirect
81. C₇×#478	C₂²	semidirect
82. C₇×#476	C₂²	semidirect
83. C₇×#464	C₂²	semidirect
84. C₇×#464	C₂²	semidirect
86. C₇×#446	C₂²	semidirect
87. C₇×#441	C₂²	semidirect
88. C₇×#440	C₂²	semidirect
89. C₄×C₇×SD₁₆	C₂²	semidirect
90. #89961	C₂²	semidirect
91. #89960	C₂²	semidirect
93. #89957	C₂²	semidirect
96. #89943	C₂²	semidirect
97. #89943	C₂²	semidirect
100. #89937	C₂²	semidirect
101. #89937	C₂²	semidirect
103. #89850	C₂²	semidirect
108. #89837	C₂²	semidirect
109. #89837	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. #89793	C₂²	semidirect
121. #89793	C₂²	semidirect
122. #89792	C₂²	semidirect
123. #89786	C₂²	semidirect
124. C₄×#1141	C₂²	semidirect
125. #89781	C₂²	semidirect
126. #89779	C₂²	semidirect
128. #89657	C₂²	semidirect
129. #89653	C₂²	semidirect
130. #89652	C₂²	semidirect
133. #89638	C₂²	semidirect
134. #89638	C₂²	semidirect
135. #89633	C₂²	semidirect
136. #89632	C₂²	semidirect
137. #89632	C₂²	semidirect
138. #89632	C₂²	semidirect
141. #89618	C₂²	semidirect
143. #89614	C₂²	semidirect
144. #89614	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. #89587	C₂²	semidirect
155. #89587	C₂²	semidirect
156. #89586	C₂²	semidirect
157. #89584	C₂²	semidirect
159. #89581	C₂²	semidirect
160. #89579	C₂²	semidirect
161. #89577	C₂²	semidirect
164. #89571	C₂²	semidirect
165. #89566	C₂²	semidirect
166. #89563	C₂²	semidirect
167. #89556	C₂²	semidirect
168. #89556	C₂²	semidirect
172. #89551	C₂²	semidirect
173. #89551	C₂²	semidirect
176. #89547	C₂²	semidirect
177. #89547	C₂²	semidirect
185. #89535	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
195. #89478	C₂²	semidirect
196. #89477	C₂²	semidirect
197. #89474	C₂²	semidirect
198. #89474	C₂²	semidirect
200. #89462	C₂²	semidirect
201. C₈×D₂₈	C₂²	semidirect
202. #89452	C₂²	semidirect
483. #3371	D₇	semidirect
707. #557	C₂×D₇	semidirect
758. #489	C₂×D₇	semidirect
760. #488	C₂×D₇	semidirect
781. #479	C₂×D₇	semidirect
790. #478	C₂×D₇	semidirect
800. #476	C₂×D₇	semidirect
822. #464	C₂×D₇	semidirect
823. #464	C₂×D₇	semidirect
838. #446	C₂×D₇	semidirect
842. #441	C₂×D₇	semidirect
846. #440	C₂×D₇	semidirect
848. C₄×SD₁₆	C₂×D₇	semidirect
1607. C₇	#62159	semidirect

Maximal subgroups

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

subgroup	index
#11744122	2
#11744097	2
C₇×#3371	2
#11741159	2
#11741139	2
#11739172	2
#11739167	2
#11739147	2
#11739139	2
#11739098	2
#11739096	2
#11738703	2
#11738674	2
#11738643	2
#11738613	2
#11738527	2
#11738507	2
#11738071	2
#11738070	2
#11738062	2
#11738060	2
#11737846	2
#11737842	2
#11737420	2
#11737391	2
#11737292	2
#11737291	2
#11737253	2
#11737230	2
#11737141	2
#11737135	2
#62159	7