Subgroups — #14250914

Order 1792.

1652 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743337	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743237	C₂	1	1	yes	maximal, characteristic
3	C₇×#3240	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740794	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740600	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739441	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739436	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739413	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739410	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739145	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739143	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739122	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739116	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738992	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738989	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738983	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738978	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738846	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738839	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738832	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738826	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738689	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738686	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738680	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738654	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738628	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738623	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738613	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738592	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736793	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736786	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#533	C₂²	1	1	yes	characteristic, complemented
33	C₇×#529	C₂²	1	1	yes	characteristic
34	#90423	C₂²	1	1	yes	characteristic
35	#90421	C₂²	1	1	yes	characteristic
36	#90413	C₂²	1	1	yes	characteristic, complemented
37	#90412	C₂²	1	1	yes	characteristic, complemented
38	#90397	—	2	1	no	—
39	D₇×#126	—	2	1	no	—
40	#90388	C₂²	1	1	yes	characteristic
41	#90388	C₂²	1	1	yes	characteristic, complemented
42	#90385	C₂²	1	1	yes	characteristic
43	#90381	C₂²	1	1	yes	characteristic
44	#90380	C₂²	1	1	yes	characteristic
45	#90380	C₂²	1	1	yes	characteristic, complemented
46	#90367	C₂²	1	1	yes	characteristic
47	#90362	C₂²	1	1	yes	characteristic
48	#90351	—	2	1	no	—
49	#90348	—	2	1	no	—
50	#90337	—	2	1	no	—
51	#90337	—	2	1	no	—
52	#90334	—	2	1	no	—
53	#90332	C₂²	1	1	yes	characteristic
54	#90322	C₂²	1	1	yes	characteristic
55	#90316	—	2	1	no	—
56	#90305	C₂²	1	1	yes	characteristic
57	#90303	C₂²	1	1	yes	characteristic
58	#90274	—	2	1	no	—
59	#90274	—	2	1	no	—
60	#90274	C₂²	1	1	yes	characteristic
61	#90265	C₂²	1	1	yes	characteristic
62	#90260	—	2	1	no	—
63	#90259	—	2	1	no	—
64	#90252	C₂²	1	1	yes	characteristic
65	#90249	—	2	1	no	—
66	#90247	—	2	1	no	—
67	#90236	C₂²	1	1	yes	characteristic
68	#90224	C₂²	1	1	yes	characteristic
69	#90224	C₂²	1	1	yes	characteristic, complemented
70	#90220	—	2	1	no	—
71	#90220	C₂²	1	1	yes	characteristic
72	#90220	C₂²	1	1	yes	characteristic, complemented
73	#90218	—	2	1	no	—
74	#90170	C₂²	1	1	yes	characteristic
75	C₄×#1157	C₂²	1	1	yes	characteristic
76	#90161	C₂²	1	1	yes	characteristic, complemented
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#501	C₂²	1	1	yes	characteristic, complemented
79	C₇×#489	C₂²	1	1	yes	characteristic
80	C₇×#489	C₂²	1	1	yes	characteristic
81	C₇×#485	C₂²	1	1	yes	characteristic, complemented
82	C₇×#485	C₂²	1	1	yes	characteristic, complemented
83	C₇×#482	C₂²	1	1	yes	characteristic
84	C₇×#482	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#479	C₂²	1	1	yes	characteristic, complemented
87	C₇×#478	C₂²	1	1	yes	characteristic
88	C₇×#478	C₂²	1	1	yes	characteristic
89	C₇×#432	C₂²	1	1	yes	characteristic, complemented
90	#89866	C₂²	1	1	yes	characteristic, complemented
91	#89863	C₂²	1	1	yes	characteristic, complemented
92	#89859	C₂²	1	1	yes	characteristic
93	#89856	C₂²	1	1	yes	characteristic
94	#89838	C₂²	1	1	yes	characteristic
95	#89838	C₂²	1	1	yes	characteristic
96	#89835	C₂²	1	1	yes	characteristic, complemented
97	#89835	C₂²	1	1	yes	characteristic, complemented
98	#89835	C₂²	1	1	yes	characteristic, complemented
99	#89835	C₂²	1	1	yes	characteristic, complemented
100	#89826	C₂²	1	1	yes	characteristic
101	#89826	C₂²	1	1	yes	characteristic
102	#89823	C₂²	1	1	yes	characteristic, complemented
103	#89823	C₂²	1	1	yes	characteristic, complemented
104	#89813	C₂²	1	1	yes	characteristic
105	#89813	C₂²	1	1	yes	characteristic
106	#89803	C₂²	1	1	yes	characteristic, complemented
107	#89792	C₂²	1	1	yes	characteristic, complemented
108	#89791	C₂²	1	1	yes	characteristic
109	#89779	C₂²	1	1	yes	characteristic
110	#89774	C₂²	1	1	yes	characteristic
111	#89774	C₂²	1	1	yes	characteristic
112	#89770	C₂²	1	1	yes	characteristic, complemented
113	#89770	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
115	#89663	C₂²	1	1	yes	characteristic
116	#89662	C₂²	1	1	yes	characteristic
117	#89661	C₂²	1	1	yes	characteristic
118	#89661	C₂²	1	1	yes	characteristic
119	#89660	C₂²	1	1	yes	characteristic
120	#89660	C₂²	1	1	yes	characteristic
121	#89659	C₂²	1	1	yes	characteristic
122	#89659	C₂²	1	1	yes	characteristic, complemented
123	#89656	C₂²	1	1	yes	characteristic, complemented
124	#89656	C₂²	1	1	yes	characteristic, complemented
125	#89653	C₂²	1	1	yes	characteristic
126	#89653	C₂²	1	1	yes	characteristic, complemented
127	#89650	C₂²	1	1	yes	characteristic, complemented
128	#89649	C₂²	1	1	yes	characteristic, complemented
129	#89647	C₂²	1	1	yes	characteristic, complemented
130	#89646	C₂²	1	1	yes	characteristic, complemented
131	#89643	C₂²	1	1	yes	characteristic
132	#89642	C₂²	1	1	yes	characteristic
133	#89640	C₂²	1	1	yes	characteristic
134	#89640	C₂²	1	1	yes	characteristic, complemented
135	#89639	C₂²	1	1	yes	characteristic
136	#89639	C₂²	1	1	yes	characteristic, complemented
137	#89634	C₂²	1	1	yes	characteristic
138	#89634	C₂²	1	1	yes	characteristic, complemented
139	#89632	C₂²	1	1	yes	characteristic
140	D₇×#106	C₂²	1	1	yes	characteristic, complemented
141	#89629	C₂²	1	1	yes	characteristic, complemented
142	#89628	C₂²	1	1	yes	characteristic, complemented
143	#89628	C₂²	1	1	yes	characteristic, complemented
144	#89626	C₂²	1	1	yes	characteristic, complemented
145	#89624	C₂²	1	1	yes	characteristic
146	#89624	C₂²	1	1	yes	characteristic
147	#89622	C₂²	1	1	yes	characteristic, complemented
148	#89621	C₂²	1	1	yes	characteristic, complemented
149	#89614	C₂²	1	1	yes	characteristic
150	#89613	C₂²	1	1	yes	characteristic
151	#89612	C₂²	1	1	yes	characteristic
152	#89612	C₂²	1	1	yes	characteristic, complemented
153	#89611	C₂²	1	1	yes	characteristic
154	#89611	C₂²	1	1	yes	characteristic, complemented
155	#89588	C₂²	1	1	yes	characteristic
156	#89586	C₂²	1	1	yes	characteristic
157	#89585	C₂²	1	1	yes	characteristic
158	#89582	C₂²	1	1	yes	characteristic
159	#89582	C₂²	1	1	yes	characteristic
160	#89581	C₂²	1	1	yes	characteristic
161	#89576	C₂²	1	1	yes	characteristic
162	#89575	C₂²	1	1	yes	characteristic
163	#89571	C₂²	1	1	yes	characteristic, complemented
164	#89569	C₂²	1	1	yes	characteristic, complemented
165	#89565	C₂²	1	1	yes	characteristic, complemented
166	#89565	C₂²	1	1	yes	characteristic, complemented
167	#89564	C₂²	1	1	yes	characteristic, complemented
168	#89563	C₂²	1	1	yes	characteristic, complemented
169	#89562	C₂²	1	1	yes	characteristic, complemented
170	#89561	C₂²	1	1	yes	characteristic, complemented
171	#89556	C₂²	1	1	yes	characteristic
172	#89552	C₂²	1	1	yes	characteristic
173	#89550	C₂²	1	1	yes	characteristic
174	#89548	C₂²	1	1	yes	characteristic
175	#89548	C₂²	1	1	yes	characteristic
176	#89546	C₂²	1	1	yes	characteristic
177	#89542	C₂²	1	1	yes	characteristic
178	D₇×#102	C₂²	1	1	yes	characteristic
179	#89540	C₂²	1	1	yes	characteristic
180	#89539	C₂²	1	1	yes	characteristic
181	#89539	C₂²	1	1	yes	characteristic
182	#89537	C₂²	1	1	yes	characteristic
183	#89535	C₂²	1	1	yes	characteristic
184	#89533	C₂²	1	1	yes	characteristic
185	#89530	C₂²	1	1	yes	characteristic
186	#89529	C₂²	1	1	yes	characteristic
187	#89505	C₂²	1	1	yes	characteristic
188	#89505	C₂²	1	1	yes	characteristic
189	#89502	C₂²	1	1	yes	characteristic
190	#89502	C₂²	1	1	yes	characteristic, complemented
191	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
192	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
193	#89495	C₂²	1	1	yes	characteristic, complemented
194	#89495	C₂²	1	1	yes	characteristic, complemented
195	#89488	C₂²	1	1	yes	characteristic, complemented
196	#89488	C₂²	1	1	yes	characteristic, complemented
197	#89482	C₂²	1	1	yes	characteristic
198	#89482	C₂²	1	1	yes	characteristic
199	#89478	C₂²	1	1	yes	characteristic
200	#89478	C₂²	1	1	yes	characteristic
201	#89473	C₂²	1	1	yes	characteristic, complemented
202	#89473	C₂²	1	1	yes	characteristic, complemented
203	#62172	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
206	C₂×#1157	C₂³	1	1	yes	characteristic
207	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₇×#126	—	2	1	no	—
210	C₇×#125	C₂³	1	1	yes	characteristic
211	C₇×#125	C₂³	1	1	yes	characteristic
212	C₇×#125	C₂³	1	1	yes	characteristic
213	C₇×#124	C₂³	1	1	yes	characteristic
214	C₇×#123	—	2	1	no	—
215	C₇×C₂²⋊Q₈	—	2	1	no	—
216	C₇×C₂²⋊Q₈	—	2	1	no	—
217	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₇×#121	C₂³	1	1	yes	characteristic
219	C₄×C₇×Q₈	—	2	1	no	—
220	C₄×C₇×Q₈	—	2	1	no	—
221	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₇×D₄	—	2	1	no	—
223	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
224	C₇×#117	—	2	1	no	—
225	C₇×#117	C₂³	1	1	yes	characteristic
226	C₇×#117	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
228	#6510	—	2	1	no	—
229	#6509	—	2	1	no	—
230	#6509	—	2	1	no	—
231	#6509	C₂³	1	1	yes	characteristic
232	Q₈×Dic₇	—	2	1	no	—
233	Q₈×Dic₇	—	2	1	no	—
234	Q₈×Dic₇	C₂³	1	1	yes	characteristic
235	#6507	—	2	1	no	—
236	#6507	—	2	1	no	—
237	#6507	—	2	1	no	—
238	#6507	C₂³	1	1	yes	characteristic
239	C₂×#1144	C₂³	1	1	yes	characteristic
240	C₂×#1144	C₂³	1	1	yes	characteristic
241	#6501	—	2	1	no	—
242	#6501	—	2	1	no	—
243	#6501	C₂³	1	1	yes	characteristic
244	#6500	—	2	1	no	—
245	#6499	C₂³	1	1	yes	characteristic
246	#6498	—	2	1	no	—
247	D₄×Dic₇	C₂³	1	1	yes	characteristic
248	C₂×#1142	C₂³	1	1	yes	characteristic
249	C₂×#1142	C₂³	1	1	yes	characteristic
250	#6493	D₄	1	1	yes	characteristic
251	#6492	—	2	1	no	—
252	#6492	D₄	1	1	yes	characteristic
253	#6492	D₄	1	1	yes	characteristic
254	C₄×C₂²⋊D₇	—	2	1	no	—
255	C₄×C₂²⋊D₇	—	2	1	no	—
256	C₄×C₂²⋊D₇	—	2	1	no	—
257	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
258	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
260	#6489	—	2	1	no	—
261	#6489	C₂³	1	1	yes	characteristic
262	#6487	—	2	1	no	—
263	#6487	—	2	1	no	—
264	#6487	D₄	1	1	yes	characteristic
265	#6487	C₂³	1	1	yes	characteristic
266	#6487	C₂³	1	1	yes	characteristic
267	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
268	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
270	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
271	C₂×#1132	C₂³	1	1	yes	characteristic
272	C₂×#1132	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	#6461	—	2	1	no	—
278	#6461	—	2	1	no	—
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	#6460	—	2	1	no	—
287	#6460	—	2	1	no	—
288	#6460	—	2	1	no	—
289	#6460	C₂³	1	1	yes	characteristic
290	#6460	C₂³	1	1	yes	characteristic
291	#6460	C₂³	1	1	yes	characteristic
292	#6460	C₂³	1	1	yes	characteristic
293	#6460	C₂³	1	1	yes	characteristic
294	#6460	C₂³	1	1	yes	characteristic
295	#6459	—	2	1	no	—
296	#6459	—	2	1	no	—
297	#6459	—	2	1	no	—
298	#6459	—	2	1	no	—
299	#6457	—	2	1	no	—
300	#6457	—	2	1	no	—
301	#6456	—	2	1	no	—
302	#6456	—	2	1	no	—
303	#6456	C₂³	1	1	yes	characteristic
304	#6456	C₂³	1	1	yes	characteristic
305	#6455	—	2	1	no	—
306	#6455	C₂³	1	1	yes	characteristic
307	#6455	C₂³	1	1	yes	characteristic
308	#6455	C₂³	1	1	yes	characteristic
309	D₇×C₄⋊C₄	—	2	1	no	—
310	D₇×C₄⋊C₄	—	2	1	no	—
311	D₇×C₄⋊C₄	—	2	1	no	—
312	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	#6453	—	2	1	no	—
316	#6453	—	2	1	no	—
317	#6453	—	2	1	no	—
318	#6453	—	2	1	no	—
319	#6453	—	2	1	no	—
320	#6453	—	2	1	no	—
321	#6453	C₂³	1	1	yes	characteristic
322	#6453	C₂³	1	1	yes	characteristic
323	#6453	C₂³	1	1	yes	characteristic
324	#6452	—	2	1	no	—
325	#6452	—	2	1	no	—
326	#6452	—	2	1	no	—
327	#6452	—	2	1	no	—
328	#6452	—	2	1	no	—
329	#6451	—	2	1	no	—
330	#6451	—	2	1	no	—
331	#6451	—	2	1	no	—
332	#6451	C₂³	1	1	yes	characteristic
333	#6451	C₂³	1	1	yes	characteristic
334	#6451	C₂³	1	1	yes	characteristic
335	#6450	—	2	1	no	—
336	#6450	—	2	1	no	—
337	#6450	C₂³	1	1	yes	characteristic
338	#6450	C₂³	1	1	yes	characteristic
339	#6450	C₂³	1	1	yes	characteristic
340	#6450	C₂³	1	1	yes	characteristic
341	#6448	—	2	1	no	—
342	#6448	—	2	1	no	—
343	#6448	—	2	1	no	—
344	#6448	—	2	1	no	—
345	#6447	—	2	1	no	—
346	#6447	—	2	1	no	—
347	#6446	—	2	1	no	—
348	#6446	—	2	1	no	—
349	#6446	—	2	1	no	—
350	#6446	—	2	1	no	—
351	#6446	—	2	1	no	—
352	#6445	—	2	1	no	—
353	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
354	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
355	D₇×C₂²⋊C₄	—	2	1	no	—
356	D₇×C₂²⋊C₄	—	2	1	no	—
357	D₇×C₂²⋊C₄	—	2	1	no	—
358	#6442	—	2	1	no	—
359	#6442	—	2	1	no	—
360	#6442	—	2	1	no	—
361	#6442	—	2	1	no	—
362	#6442	—	2	1	no	—
363	#6442	—	2	1	no	—
364	#6442	—	2	1	no	—
365	#6442	—	2	1	no	—
366	#6442	—	2	1	no	—
367	#6441	—	2	1	no	—
368	#6440	—	2	1	no	—
369	#6439	—	2	1	no	—
370	#6439	—	2	1	no	—
371	#6439	—	2	1	no	—
372	#6439	D₄	1	1	yes	characteristic
373	#6439	D₄	1	1	yes	characteristic
374	#6438	D₄	1	1	yes	characteristic
375	C₄×D₂₈	—	2	1	no	—
376	C₄×D₂₈	C₂³	1	1	yes	characteristic
377	C₄×D₂₈	C₂³	1	1	yes	characteristic
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	#6435	—	2	1	no	—
380	#6435	—	2	1	no	—
381	#6435	—	2	1	no	—
382	#6435	—	2	1	no	—
383	#6435	C₂³	1	1	yes	characteristic
384	#6435	C₂³	1	1	yes	characteristic
385	C₄²×D₇	—	2	1	no	—
386	#6433	—	2	1	no	—
387	#6433	—	2	1	no	—
388	#6433	—	2	1	no	—
389	#6433	—	2	1	no	—
390	#6433	D₄	1	1	yes	characteristic
391	#6432	C₂³	1	1	yes	characteristic
392	#6432	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₄	—	2	1	no	—
394	C₄×Dic₁₄	—	2	1	no	—
395	C₄×Dic₁₄	—	2	1	no	—
396	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
401	C₇×#107	C₂³	1	1	yes	characteristic
402	C₇×#107	C₂³	1	1	yes	characteristic
403	C₇×#107	C₂³	1	1	yes	characteristic
404	C₇×#107	C₂³	1	1	yes	characteristic
405	C₇×#106	C₂³	1	1	yes	characteristic
406	C₇×#106	C₂³	1	1	yes	characteristic
407	C₇×#106	C₂³	1	1	yes	characteristic
408	C₇×#106	C₂³	1	1	yes	characteristic
409	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×#103	C₂³	1	1	yes	characteristic
412	C₇×#103	C₂³	1	1	yes	characteristic
413	C₇×#103	C₂³	1	1	yes	characteristic
414	C₇×#103	C₂³	1	1	yes	characteristic
415	C₇×#102	C₂³	1	1	yes	characteristic
416	C₇×#102	C₂³	1	1	yes	characteristic
417	C₇×#102	C₂³	1	1	yes	characteristic
418	C₇×#102	C₂³	1	1	yes	characteristic
419	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₇×#97	C₂³	1	1	yes	characteristic
422	C₇×#97	C₂³	1	1	yes	characteristic
423	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6406	C₂³	1	1	yes	characteristic
426	#6406	C₂³	1	1	yes	characteristic
427	#6395	C₂³	1	1	yes	characteristic
428	#6395	C₂³	1	1	yes	characteristic
429	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
431	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
433	#6392	C₂³	1	1	yes	characteristic
434	#6392	C₂³	1	1	yes	characteristic
435	#6391	C₂³	1	1	yes	characteristic
436	#6391	C₂³	1	1	yes	characteristic
437	#6390	C₂³	1	1	yes	characteristic
438	#6390	C₂³	1	1	yes	characteristic
439	#6390	C₂³	1	1	yes	characteristic
440	#6390	C₂³	1	1	yes	characteristic
441	#6390	C₂³	1	1	yes	characteristic
442	#6390	C₂³	1	1	yes	characteristic
443	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	#6384	C₂³	1	1	yes	characteristic
452	#6384	C₂³	1	1	yes	characteristic
453	#6384	C₂³	1	1	yes	characteristic
454	#6384	C₂³	1	1	yes	characteristic
455	#6384	C₂³	1	1	yes	characteristic
456	#6384	C₂³	1	1	yes	characteristic
457	#6384	C₂³	1	1	yes	characteristic
458	#6384	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	C₂³	1	1	yes	characteristic
461	#6383	C₂³	1	1	yes	characteristic
462	#6383	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#6382	C₂³	1	1	yes	characteristic
468	#6382	C₂³	1	1	yes	characteristic
469	#6381	C₂³	1	1	yes	characteristic
470	#6381	C₂³	1	1	yes	characteristic
471	#6381	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	#6381	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
479	#3555	—	7	1	no	—
480	#3521	—	7	1	no	—
481	#3388	—	7	1	no	—
482	#3385	—	7	1	no	—
483	#3377	—	7	1	no	—
484	#3369	—	7	1	no	—
485	#3350	—	7	1	no	—
486	#3349	—	7	1	no	—
487	#3349	—	7	1	no	—
488	#3344	—	7	1	no	—
489	#3342	—	7	1	no	—
490	#3337	—	7	1	no	—
491	#3315	—	7	1	no	—
492	#3314	—	7	1	no	—
493	#3311	—	7	1	no	—
494	#3311	—	7	1	no	—
495	#3302	—	7	1	no	—
496	#3296	—	7	1	no	—
497	#3261	—	7	1	no	—
498	#3258	—	7	1	no	—
499	#3248	—	7	1	no	—
500	#3243	—	7	1	no	—
501	#3242	—	7	1	no	—
502	#3240	D₇	1	1	yes	characteristic, complemented
503	#3123	—	7	1	no	—
504	#3120	—	7	1	no	—
505	#3116	—	7	1	no	—
506	#3084	—	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	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₇×D₄	—	2	1	no	—
515	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₇	—	2	1	no	—
517	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
519	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₇	—	2	1	no	—
521	C₂×C₂²⋊D₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
525	C₂²×Dic₇	—	2	1	no	—
526	#1161	—	2	2	no	—
527	#1161	—	4	1	no	—
528	D₄×D₇	—	2	2	no	—
529	D₄×D₇	—	4	1	no	—
530	#1157	—	2	2	no	—
531	#1157	—	4	1	no	—
532	C₂×D₂₈	—	2	1	no	—
533	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
534	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₄×D₇	—	2	1	no	—
536	C₂×C₄×D₇	—	2	1	no	—
537	C₂×C₄×D₇	—	2	1	no	—
538	C₂×C₄×D₇	—	2	1	no	—
539	C₂×C₄×D₇	—	2	1	no	—
540	C₂×C₄×D₇	—	2	1	no	—
541	C₂×C₄×D₇	—	2	1	no	—
542	C₂×C₄×D₇	—	2	1	no	—
543	C₂×C₄×D₇	—	2	1	no	—
544	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
546	C₂×Dic₁₄	—	2	1	no	—
547	C₂×Dic₁₄	—	2	1	no	—
548	C₂×Dic₁₄	—	2	1	no	—
549	C₂×Dic₁₄	—	2	1	no	—
550	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
551	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
552	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
553	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
558	C₇×C₄⋊C₄	—	2	1	no	—
559	C₇×C₄⋊C₄	—	2	1	no	—
560	C₇×C₄⋊C₄	—	2	1	no	—
561	C₇×C₄⋊C₄	—	2	1	no	—
562	C₇×C₄⋊C₄	—	2	1	no	—
563	C₇×C₄⋊C₄	—	2	1	no	—
564	C₇×C₄⋊C₄	—	2	1	no	—
565	C₇×C₄⋊C₄	—	2	1	no	—
566	C₇×C₄⋊C₄	—	2	1	no	—
567	C₇×C₄⋊C₄	—	2	1	no	—
568	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
569	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
574	C₇×C₂²⋊C₄	—	2	1	no	—
575	C₇×C₂²⋊C₄	—	2	1	no	—
576	C₇×C₂²⋊C₄	—	2	1	no	—
577	C₇×C₂²⋊C₄	—	2	1	no	—
578	C₇×C₂²⋊C₄	—	2	1	no	—
579	C₇×C₂²⋊C₄	—	2	1	no	—
580	C₇×C₂²⋊C₄	—	2	1	no	—
581	C₄²×C₇	—	2	1	no	—
582	C₄²×C₇	—	2	1	no	—
583	C₄²×C₇	—	2	1	no	—
584	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
585	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
586	C₄²×C₇	C₂⁴	1	1	yes	characteristic
587	C₄²×C₇	C₂⁴	1	1	yes	characteristic
588	C₂²⋊Dic₇	—	2	1	no	—
589	C₂²⋊Dic₇	—	2	1	no	—
590	C₂²⋊Dic₇	—	2	1	no	—
591	C₂²⋊Dic₇	—	2	1	no	—
592	C₂²⋊Dic₇	—	2	1	no	—
593	C₂²⋊Dic₇	—	2	1	no	—
594	C₂²⋊Dic₇	—	2	1	no	—
595	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
596	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
597	#1144	—	4	1	no	—
598	#1144	—	4	1	no	—
599	#1142	—	4	1	no	—
600	#1142	—	4	1	no	—
601	(C₂×D₇)⋊C₄	—	2	1	no	—
602	(C₂×D₇)⋊C₄	—	2	1	no	—
603	(C₂×D₇)⋊C₄	—	2	1	no	—
604	(C₂×D₇)⋊C₄	—	2	1	no	—
605	(C₂×D₇)⋊C₄	—	2	1	no	—
606	(C₂×D₇)⋊C₄	—	2	1	no	—
607	(C₂×D₇)⋊C₄	—	2	1	no	—
608	(C₂×D₇)⋊C₄	—	2	1	no	—
609	(C₂×D₇)⋊C₄	—	2	1	no	—
610	(C₂×D₇)⋊C₄	—	2	1	no	—
611	(C₂×D₇)⋊C₄	—	2	1	no	—
612	(C₂×D₇)⋊C₄	—	2	1	no	—
613	(C₂×D₇)⋊C₄	—	2	1	no	—
614	(C₂×D₇)⋊C₄	—	2	1	no	—
615	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
616	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
617	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
618	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
619	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
620	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
621	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
622	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₄⋊Dic₇	—	2	1	no	—
624	C₄⋊Dic₇	—	2	1	no	—
625	C₄⋊Dic₇	—	2	1	no	—
626	C₄⋊Dic₇	—	2	1	no	—
627	C₄⋊Dic₇	—	2	1	no	—
628	C₄⋊Dic₇	—	2	1	no	—
629	C₄⋊Dic₇	—	2	1	no	—
630	C₄⋊Dic₇	—	2	1	no	—
631	C₄⋊Dic₇	—	2	1	no	—
632	C₄⋊Dic₇	—	2	1	no	—
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	—	2	1	no	—
635	C₄⋊Dic₇	—	2	1	no	—
636	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
637	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
638	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
642	Dic₇⋊C₄	—	2	1	no	—
643	Dic₇⋊C₄	—	2	1	no	—
644	Dic₇⋊C₄	—	2	1	no	—
645	Dic₇⋊C₄	—	2	1	no	—
646	Dic₇⋊C₄	—	2	1	no	—
647	Dic₇⋊C₄	—	2	1	no	—
648	Dic₇⋊C₄	—	2	1	no	—
649	Dic₇⋊C₄	—	2	1	no	—
650	Dic₇⋊C₄	—	2	1	no	—
651	Dic₇⋊C₄	—	2	1	no	—
652	Dic₇⋊C₄	—	2	1	no	—
653	Dic₇⋊C₄	—	2	1	no	—
654	Dic₇⋊C₄	—	2	1	no	—
655	Dic₇⋊C₄	—	2	1	no	—
656	Dic₇⋊C₄	—	2	1	no	—
657	Dic₇⋊C₄	—	2	1	no	—
658	Dic₇⋊C₄	—	2	1	no	—
659	Dic₇⋊C₄	—	2	1	no	—
660	Dic₇⋊C₄	—	2	1	no	—
661	Dic₇⋊C₄	—	2	1	no	—
662	Dic₇⋊C₄	—	2	1	no	—
663	Dic₇⋊C₄	—	2	1	no	—
664	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
665	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
666	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
667	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
668	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
669	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
670	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
671	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₄×Dic₇	—	2	1	no	—
673	C₄×Dic₇	—	2	1	no	—
674	C₄×Dic₇	—	2	1	no	—
675	C₄×Dic₇	—	2	1	no	—
676	C₄×Dic₇	—	2	1	no	—
677	C₄×Dic₇	—	2	1	no	—
678	C₄×Dic₇	—	2	1	no	—
679	C₄×Dic₇	—	2	1	no	—
680	C₄×Dic₇	—	2	1	no	—
681	C₄×Dic₇	—	2	1	no	—
682	C₄×Dic₇	—	2	1	no	—
683	C₄×Dic₇	—	2	1	no	—
684	C₄×Dic₇	—	2	1	no	—
685	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
687	C₂×C₇⋊C₈	—	4	1	no	—
688	C₂×C₇⋊C₈	—	4	1	no	—
689	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
693	Dic₂₈	—	4	1	no	—
694	Dic₂₈	—	4	1	no	—
695	#1132	—	2	2	no	—
696	#1132	—	2	2	no	—
697	#1131	—	4	1	no	—
698	#1131	—	4	1	no	—
699	C₈×D₇	—	4	1	no	—
700	C₈×D₇	—	4	1	no	—
701	#563	—	14	1	no	—
702	#563	—	14	1	no	—
703	Q₈²	—	7	1	no	—
704	#557	—	7	1	no	—
705	#557	—	14	1	no	—
706	#556	—	7	1	no	—
707	#556	—	7	1	no	—
708	#556	—	7	1	no	—
709	#556	—	7	1	no	—
710	#556	—	7	1	no	—
711	#556	—	14	1	no	—
712	#554	—	7	1	no	—
713	#554	—	7	1	no	—
714	#553	—	7	1	no	—
715	#553	—	14	1	no	—
716	#552	—	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	#547	—	7	1	no	—
723	#546	—	7	1	no	—
724	#546	—	7	1	no	—
725	#544	—	7	1	no	—
726	#544	—	7	1	no	—
727	#542	—	7	1	no	—
728	#542	—	14	1	no	—
729	#541	—	7	1	no	—
730	#541	—	7	1	no	—
731	#541	—	7	1	no	—
732	#541	—	14	1	no	—
733	#541	—	14	1	no	—
734	#541	—	14	1	no	—
735	#539	—	14	1	no	—
736	#538	—	14	1	no	—
737	#533	—	7	1	no	—
738	#533	C₂×D₇	1	1	yes	characteristic, complemented
739	#529	—	7	1	no	—
740	#529	—	14	1	no	—
741	#529	C₂×D₇	1	1	yes	characteristic
742	C₂×#126	—	14	1	no	—
743	#520	—	7	1	no	—
744	#518	—	7	1	no	—
745	C₄×#41	—	7	1	no	—
746	#501	—	7	1	no	—
747	#501	—	7	1	no	—
748	#501	C₂×D₇	1	1	yes	characteristic, complemented
749	#501	C₂×D₇	1	1	yes	characteristic, complemented
750	#500	—	7	1	no	—
751	#499	—	7	1	no	—
752	#491	—	7	1	no	—
753	#489	—	7	1	no	—
754	#489	C₂×D₇	1	1	yes	characteristic
755	#489	C₂×D₇	1	1	yes	characteristic
756	#488	—	7	1	no	—
757	#487	—	7	1	no	—
758	#485	—	7	1	no	—
759	#485	—	7	1	no	—
760	#485	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	C₂×D₇	1	1	yes	characteristic, complemented
766	#485	C₂×D₇	1	1	yes	characteristic, complemented
767	#484	—	7	1	no	—
768	#484	—	7	1	no	—
769	#484	—	7	1	no	—
770	#483	—	7	1	no	—
771	#483	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	C₂×D₇	1	1	yes	characteristic
774	#482	C₂×D₇	1	1	yes	characteristic
775	#480	—	7	1	no	—
776	#479	—	7	1	no	—
777	#479	—	7	1	no	—
778	#479	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	C₂×D₇	1	1	yes	characteristic, complemented
784	#479	C₂×D₇	1	1	yes	characteristic, complemented
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
791	#478	C₂×D₇	1	1	yes	characteristic
792	#477	—	7	1	no	—
793	#477	—	7	1	no	—
794	#477	—	7	1	no	—
795	#476	—	7	1	no	—
796	#476	—	7	1	no	—
797	#476	—	7	1	no	—
798	#476	—	7	1	no	—
799	#475	—	7	1	no	—
800	#475	—	7	1	no	—
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	#470	—	7	1	no	—
807	#470	—	7	1	no	—
808	#470	—	7	1	no	—
809	#468	—	7	1	no	—
810	#467	—	7	1	no	—
811	#467	—	7	1	no	—
812	#467	—	7	1	no	—
813	#467	—	7	1	no	—
814	#467	—	7	1	no	—
815	#465	—	7	1	no	—
816	#465	—	7	1	no	—
817	#465	—	7	1	no	—
818	#464	—	7	1	no	—
819	#464	—	7	1	no	—
820	#464	—	7	1	no	—
821	#464	—	7	1	no	—
822	#462	—	7	1	no	—
823	#462	—	7	1	no	—
824	#462	—	7	1	no	—
825	#462	—	7	1	no	—
826	#461	—	7	1	no	—
827	#461	—	7	1	no	—
828	#452	—	7	1	no	—
829	#452	—	7	1	no	—
830	#452	—	7	1	no	—
831	#452	—	7	1	no	—
832	#450	—	7	1	no	—
833	#450	—	7	1	no	—
834	#446	—	7	1	no	—
835	#446	—	7	1	no	—
836	#441	—	7	1	no	—
837	#441	—	7	1	no	—
838	#441	—	7	1	no	—
839	#440	—	7	1	no	—
840	#440	—	7	1	no	—
841	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	C₄×Q₁₆	—	7	1	no	—
845	C₄×SD₁₆	—	7	1	no	—
846	C₄×SD₁₆	—	7	1	no	—
847	C₄×SD₁₆	—	7	1	no	—
848	#435	—	7	1	no	—
849	#435	—	7	1	no	—
850	#435	—	7	1	no	—
851	#435	—	7	1	no	—
852	C₈×D₄	—	7	1	no	—
853	C₈×D₄	—	7	1	no	—
854	#433	—	7	1	no	—
855	#433	—	7	1	no	—
856	#432	C₂×D₇	1	1	yes	characteristic, complemented
857	#428	—	7	1	no	—
858	#428	—	7	1	no	—
859	#427	—	7	1	no	—
860	#427	—	7	1	no	—
861	#427	—	7	1	no	—
862	C₂×#106	—	7	1	no	—
863	#424	—	7	1	no	—
864	#424	—	7	1	no	—
865	C₂×C₄⋊C₈	—	7	1	no	—
866	#418	—	7	1	no	—
867	#417	—	7	1	no	—
868	#416	—	7	1	no	—
869	#416	—	7	1	no	—
870	#416	—	7	1	no	—
871	C₂×#102	—	7	1	no	—
872	C₂³×C₇	—	2	1	no	—
873	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
874	C₂²×D₇	—	2	1	no	—
875	C₂²×D₇	—	4	2	no	—
876	C₂²×D₇	—	8	1	no	—
877	C₂²×D₇	—	8	1	no	—
878	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
879	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
880	C₇×Q₈	—	2	1	no	—
881	C₇×Q₈	—	2	1	no	—
882	C₇×Q₈	—	4	2	no	—
883	C₇×Q₈	—	8	1	no	—
884	C₇×D₄	—	2	1	no	—
885	C₇×D₄	—	2	1	no	—
886	C₇×D₄	—	8	1	no	—
887	C₂×C₄×C₇	—	2	1	no	—
888	C₂×C₄×C₇	—	2	1	no	—
889	C₂×C₄×C₇	—	2	1	no	—
890	C₂×C₄×C₇	—	2	1	no	—
891	C₂×C₄×C₇	—	2	1	no	—
892	C₂×C₄×C₇	—	2	1	no	—
893	C₂×C₄×C₇	—	2	1	no	—
894	C₂×C₄×C₇	—	2	1	no	—
895	C₂×C₄×C₇	—	2	1	no	—
896	C₂×C₄×C₇	—	4	1	no	—
897	C₂×C₄×C₇	—	4	1	no	—
898	C₂×C₄×C₇	—	8	1	no	—
899	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
905	C₂²⋊D₇	—	4	1	no	—
906	C₂²⋊D₇	—	4	1	no	—
907	C₂²⋊D₇	—	4	2	no	—
908	C₂²⋊D₇	—	4	2	no	—
909	C₂²⋊D₇	—	8	1	no	—
910	C₂×Dic₇	—	2	1	no	—
911	C₂×Dic₇	—	2	1	no	—
912	C₂×Dic₇	—	2	1	no	—
913	C₂×Dic₇	—	2	1	no	—
914	C₂×Dic₇	—	2	1	no	—
915	C₂×Dic₇	—	2	1	no	—
916	C₂×Dic₇	—	2	1	no	—
917	C₂×Dic₇	—	8	1	no	—
918	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
919	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
920	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
921	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
922	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
924	D₂₈	—	2	1	no	—
925	D₂₈	—	4	1	no	—
926	D₂₈	—	4	2	no	—
927	D₂₈	2₋¹⁺⁴	1	2	yes	—
928	C₄×D₇	—	2	1	no	—
929	C₄×D₇	—	2	1	no	—
930	C₄×D₇	—	2	1	no	—
931	C₄×D₇	—	2	1	no	—
932	C₄×D₇	—	4	2	no	—
933	C₄×D₇	—	4	2	no	—
934	C₄×D₇	—	8	1	no	—
935	C₄×D₇	—	8	1	no	—
936	C₄×D₇	—	8	1	no	—
937	C₄×D₇	—	8	1	no	—
938	C₄×D₇	—	8	1	no	—
939	C₄×D₇	—	8	1	no	—
940	C₄×D₇	—	8	1	no	—
941	Dic₁₄	—	2	1	no	—
942	Dic₁₄	—	2	1	no	—
943	Dic₁₄	—	2	1	no	—
944	Dic₁₄	—	2	1	no	—
945	Dic₁₄	—	2	1	no	—
946	Dic₁₄	—	2	1	no	—
947	Dic₁₄	—	4	1	no	—
948	Dic₁₄	—	8	1	no	—
949	Dic₁₄	—	8	1	no	—
950	Dic₁₄	—	8	1	no	—
951	Dic₁₄	—	8	1	no	—
952	C₇×C₈	—	2	1	no	—
953	C₇×C₈	—	2	1	no	—
954	C₇×C₈	—	2	1	no	—
955	C₇×C₈	—	2	1	no	—
956	C₇⋊C₈	—	2	1	no	—
957	C₇⋊C₈	—	2	1	no	—
958	C₇⋊C₈	—	2	1	no	—
959	C₇⋊C₈	—	2	1	no	—
960	C₂×#41	—	7	1	no	—
961	C₂×#41	—	7	1	no	—
962	C₂²×D₄	—	7	1	no	—
963	C₂×Q₁₆	—	7	1	no	—
964	C₂×Q₁₆	—	7	1	no	—
965	C₂×Q₁₆	—	7	1	no	—
966	C₂×Q₁₆	—	7	1	no	—
967	C₂×SD₁₆	—	7	1	no	—
968	C₂×SD₁₆	—	7	1	no	—
969	C₂×SD₁₆	—	7	1	no	—
970	C₂×SD₁₆	—	7	1	no	—
971	C₂×M₁₆	—	7	1	no	—
972	C₂×M₁₆	—	7	1	no	—
973	C₂²×C₈	—	7	1	no	—
974	C₂²×C₈	—	7	1	no	—
975	C₂²×C₈	—	7	1	no	—
976	C₂²×C₈	—	7	1	no	—
977	C₄⋊Q₈	—	7	1	no	—
978	C₄⋊Q₈	—	7	1	no	—
979	C₄⋊Q₈	—	7	1	no	—
980	C₄⋊Q₈	—	7	1	no	—
981	C₄⋊Q₈	—	7	1	no	—
982	C₄⋊Q₈	—	7	1	no	—
983	C₄⋊Q₈	—	14	1	no	—
984	C₄⋊Q₈	—	14	1	no	—
985	C₄⋊Q₈	—	14	1	no	—
986	C₄⋊Q₈	—	14	1	no	—
987	C₄⋊Q₈	—	14	1	no	—
988	C₄⋊Q₈	—	14	1	no	—
989	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
990	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
991	#126	—	2	1	no	—
992	#126	—	7	1	no	—
993	#126	—	7	1	no	—
994	#126	—	14	1	no	—
995	#126	—	14	1	no	—
996	#126	—	14	1	no	—
997	#126	—	14	1	no	—
998	#126	—	14	1	no	—
999	#126	—	14	1	no	—
1000	#126	—	14	1	no	—
1001	#126	—	14	1	no	—
1002	#126	—	14	1	no	—
1003	#126	—	14	1	no	—
1004	#126	—	14	1	no	—
1005	#126	—	14	1	no	—
1006	#126	—	14	1	no	—
1007	#126	—	14	1	no	—
1008	#126	—	14	1	no	—
1009	#126	—	14	1	no	—
1010	#126	—	14	1	no	—
1011	#126	—	14	1	no	—
1012	#126	—	14	1	no	—
1013	#126	—	14	1	no	—
1014	#126	—	14	1	no	—
1015	#125	—	7	1	no	—
1016	#125	—	7	1	no	—
1017	#125	—	7	1	no	—
1018	#125	—	7	1	no	—
1019	#125	—	14	1	no	—
1020	#125	—	14	1	no	—
1021	#125	—	14	1	no	—
1022	#125	—	14	1	no	—
1023	#125	—	14	1	no	—
1024	#125	—	14	1	no	—
1025	#125	—	14	1	no	—
1026	#125	—	14	1	no	—
1027	#125	—	14	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	C₂²×D₇	1	1	yes	characteristic
1035	#125	C₂²×D₇	1	1	yes	characteristic
1036	#125	C₂²×D₇	1	1	yes	characteristic
1037	#124	—	7	1	no	—
1038	#124	—	7	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	C₂²×D₇	1	1	yes	characteristic
1045	#123	—	2	1	no	—
1046	#123	—	7	1	no	—
1047	#123	—	7	1	no	—
1048	#123	—	14	1	no	—
1049	#123	—	14	1	no	—
1050	#123	—	14	1	no	—
1051	#123	—	14	1	no	—
1052	#123	—	14	1	no	—
1053	#123	—	14	1	no	—
1054	#123	—	14	1	no	—
1055	#123	—	14	1	no	—
1056	#123	—	14	1	no	—
1057	C₂²⋊Q₈	—	2	1	no	—
1058	C₂²⋊Q₈	—	2	1	no	—
1059	C₂²⋊Q₈	—	7	1	no	—
1060	C₂²⋊Q₈	—	7	1	no	—
1061	C₂²⋊Q₈	—	7	1	no	—
1062	C₂²⋊Q₈	—	7	1	no	—
1063	C₂²⋊Q₈	—	7	1	no	—
1064	C₂²⋊Q₈	—	7	1	no	—
1065	C₂²⋊Q₈	—	7	1	no	—
1066	C₂²⋊Q₈	—	7	1	no	—
1067	C₂²⋊Q₈	—	7	1	no	—
1068	C₂²⋊Q₈	—	7	1	no	—
1069	C₂²⋊Q₈	—	14	1	no	—
1070	C₂²⋊Q₈	—	14	1	no	—
1071	C₂²⋊Q₈	—	14	1	no	—
1072	C₂²⋊Q₈	—	14	1	no	—
1073	C₂²⋊Q₈	—	14	1	no	—
1074	C₂²⋊Q₈	—	14	1	no	—
1075	C₂²⋊Q₈	—	14	1	no	—
1076	C₂²⋊Q₈	—	14	1	no	—
1077	C₂²⋊Q₈	—	14	1	no	—
1078	C₂²⋊Q₈	—	14	1	no	—
1079	C₂²⋊Q₈	—	14	1	no	—
1080	C₂²⋊Q₈	—	14	1	no	—
1081	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1082	#121	—	7	1	no	—
1083	#121	—	7	1	no	—
1084	#121	—	14	1	no	—
1085	#121	—	14	1	no	—
1086	#121	—	14	1	no	—
1087	#121	—	14	1	no	—
1088	#121	C₂²×D₇	1	1	yes	characteristic
1089	#120	—	14	1	no	—
1090	#120	—	14	1	no	—
1091	C₄×Q₈	—	2	1	no	—
1092	C₄×Q₈	—	2	1	no	—
1093	C₄×Q₈	—	7	1	no	—
1094	C₄×Q₈	—	7	1	no	—
1095	C₄×Q₈	—	7	1	no	—
1096	C₄×Q₈	—	7	1	no	—
1097	C₄×Q₈	—	7	1	no	—
1098	C₄×Q₈	—	7	1	no	—
1099	C₄×Q₈	—	7	1	no	—
1100	C₄×Q₈	—	7	1	no	—
1101	C₄×Q₈	—	7	1	no	—
1102	C₄×Q₈	—	7	1	no	—
1103	C₄×Q₈	—	14	1	no	—
1104	C₄×Q₈	—	14	1	no	—
1105	C₄×Q₈	—	14	1	no	—
1106	C₄×Q₈	—	14	1	no	—
1107	C₄×Q₈	—	14	1	no	—
1108	C₄×Q₈	—	14	1	no	—
1109	C₄×Q₈	—	14	1	no	—
1110	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	7	1	no	—
1113	C₄×D₄	—	7	1	no	—
1114	C₄×D₄	—	7	1	no	—
1115	C₄×D₄	—	7	1	no	—
1116	C₄×D₄	—	7	1	no	—
1117	C₄×D₄	—	7	1	no	—
1118	C₄×D₄	—	7	1	no	—
1119	C₄×D₄	—	7	1	no	—
1120	C₄×D₄	—	14	1	no	—
1121	C₄×D₄	—	14	1	no	—
1122	C₄×D₄	—	14	1	no	—
1123	C₄×D₄	—	14	1	no	—
1124	C₄×D₄	—	14	1	no	—
1125	C₄×D₄	—	14	1	no	—
1126	C₄×D₄	—	14	1	no	—
1127	C₄×D₄	—	14	1	no	—
1128	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1129	#117	—	2	1	no	—
1130	#117	—	7	1	no	—
1131	#117	—	7	1	no	—
1132	#117	—	7	1	no	—
1133	#117	—	7	1	no	—
1134	#117	—	7	1	no	—
1135	#117	—	7	1	no	—
1136	#117	—	14	1	no	—
1137	#117	—	14	1	no	—
1138	#117	—	14	1	no	—
1139	#117	—	14	1	no	—
1140	#117	—	14	1	no	—
1141	#117	—	14	1	no	—
1142	#117	—	14	1	no	—
1143	#117	C₂²×D₇	1	1	yes	characteristic
1144	#117	C₂²×D₇	1	1	yes	characteristic
1145	C₂×C₄⋊C₄	—	7	1	no	—
1146	C₂×C₄⋊C₄	—	7	1	no	—
1147	C₂×C₄⋊C₄	—	7	1	no	—
1148	C₂×C₄⋊C₄	—	14	1	no	—
1149	C₂×C₄⋊C₄	—	14	1	no	—
1150	C₂×C₄⋊C₄	—	14	1	no	—
1151	C₂×C₂²⋊C₄	—	14	1	no	—
1152	C₂×C₂²⋊C₄	—	14	1	no	—
1153	C₂×C₂²⋊C₄	—	14	1	no	—
1154	C₂×C₂²⋊C₄	—	14	1	no	—
1155	C₂×C₄²	—	14	1	no	—
1156	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1157	#107	—	7	1	no	—
1158	#107	—	7	1	no	—
1159	#107	—	7	1	no	—
1160	#107	—	7	1	no	—
1161	#107	—	7	1	no	—
1162	#107	—	7	1	no	—
1163	#107	—	7	1	no	—
1164	#107	—	7	1	no	—
1165	#107	C₂²×D₇	1	1	yes	characteristic
1166	#107	C₂²×D₇	1	1	yes	characteristic
1167	#107	C₂²×D₇	1	1	yes	characteristic
1168	#107	C₂²×D₇	1	1	yes	characteristic
1169	#106	—	7	1	no	—
1170	#106	—	7	1	no	—
1171	#106	—	7	1	no	—
1172	#106	—	7	1	no	—
1173	#106	—	7	1	no	—
1174	#106	—	7	1	no	—
1175	#106	—	7	1	no	—
1176	#106	—	7	1	no	—
1177	#106	C₂²×D₇	1	1	yes	characteristic
1178	#106	C₂²×D₇	1	1	yes	characteristic
1179	#106	C₂²×D₇	1	1	yes	characteristic
1180	#106	C₂²×D₇	1	1	yes	characteristic
1181	C₄⋊C₈	—	7	1	no	—
1182	C₄⋊C₈	—	7	1	no	—
1183	C₄⋊C₈	—	7	1	no	—
1184	C₄⋊C₈	—	7	1	no	—
1185	C₄⋊C₈	—	7	1	no	—
1186	C₄⋊C₈	—	7	1	no	—
1187	C₄⋊C₈	—	7	1	no	—
1188	C₄⋊C₈	—	7	1	no	—
1189	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1190	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1191	#103	—	7	1	no	—
1192	#103	—	7	1	no	—
1193	#103	—	7	1	no	—
1194	#103	—	7	1	no	—
1195	#103	—	7	1	no	—
1196	#103	—	7	1	no	—
1197	#103	—	7	1	no	—
1198	#103	—	7	1	no	—
1199	#103	—	7	1	no	—
1200	#103	—	7	1	no	—
1201	#103	—	7	1	no	—
1202	#103	—	7	1	no	—
1203	#103	—	7	1	no	—
1204	#103	—	7	1	no	—
1205	#103	—	7	1	no	—
1206	#103	—	7	1	no	—
1207	#103	C₂²×D₇	1	1	yes	characteristic
1208	#103	C₂²×D₇	1	1	yes	characteristic
1209	#103	C₂²×D₇	1	1	yes	characteristic
1210	#103	C₂²×D₇	1	1	yes	characteristic
1211	#102	—	7	1	no	—
1212	#102	—	7	1	no	—
1213	#102	—	7	1	no	—
1214	#102	—	7	1	no	—
1215	#102	—	7	1	no	—
1216	#102	—	7	1	no	—
1217	#102	—	7	1	no	—
1218	#102	—	7	1	no	—
1219	#102	C₂²×D₇	1	1	yes	characteristic
1220	#102	C₂²×D₇	1	1	yes	characteristic
1221	#102	C₂²×D₇	1	1	yes	characteristic
1222	#102	C₂²×D₇	1	1	yes	characteristic
1223	C₂²⋊C₈	—	7	1	no	—
1224	C₂²⋊C₈	—	7	1	no	—
1225	C₂²⋊C₈	—	7	1	no	—
1226	C₂²⋊C₈	—	7	1	no	—
1227	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1228	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1229	#97	—	7	1	no	—
1230	#97	—	7	1	no	—
1231	#97	C₂²×D₇	1	1	yes	characteristic
1232	#97	C₂²×D₇	1	1	yes	characteristic
1233	C₄×C₈	—	7	1	no	—
1234	C₄×C₈	—	7	1	no	—
1235	C₂²×C₇	—	2	1	no	—
1236	C₂²×C₇	—	2	1	no	—
1237	C₂²×C₇	—	2	1	no	—
1238	C₂²×C₇	—	4	1	no	—
1239	C₂²×C₇	—	4	1	no	—
1240	C₂²×C₇	—	4	1	no	—
1241	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1242	C₂×D₇	—	2	1	no	—
1243	C₂×D₇	—	2	1	no	—
1244	C₂×D₇	—	2	1	no	—
1245	C₂×D₇	—	2	1	no	—
1246	C₂×D₇	—	2	1	no	—
1247	C₂×D₇	—	2	1	no	—
1248	C₂×D₇	—	2	2	no	—
1249	C₂×D₇	—	4	1	no	—
1250	C₂×D₇	—	4	1	no	—
1251	C₂×D₇	—	16	2	no	—
1252	C₄×C₇	—	2	1	no	—
1253	C₄×C₇	—	2	1	no	—
1254	C₄×C₇	—	2	1	no	—
1255	C₄×C₇	—	2	1	no	—
1256	C₄×C₇	—	2	1	no	—
1257	C₄×C₇	—	4	1	no	—
1258	C₄×C₇	—	4	1	no	—
1259	C₄×C₇	—	4	1	no	—
1260	C₄×C₇	—	4	1	no	—
1261	C₄×C₇	—	4	1	no	—
1262	C₄×C₇	—	4	1	no	—
1263	C₄×C₇	—	4	1	no	—
1264	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1265	C₄×C₇	#585	1	1	yes	characteristic
1266	Dic₇	—	2	1	no	—
1267	Dic₇	—	2	1	no	—
1268	Dic₇	—	2	1	no	—
1269	Dic₇	—	2	1	no	—
1270	Dic₇	—	2	1	no	—
1271	Dic₇	—	2	1	no	—
1272	Dic₇	—	4	1	no	—
1273	Dic₇	—	4	1	no	—
1274	Dic₇	—	4	1	no	—
1275	Dic₇	—	4	1	no	—
1276	Dic₇	—	4	1	no	—
1277	Dic₇	—	4	1	no	—
1278	Dic₇	—	4	1	no	—
1279	C₂⁴	—	14	1	no	—
1280	#41	—	14	2	no	—
1281	#41	—	14	2	no	—
1282	#41	—	28	1	no	—
1283	#41	—	28	1	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	2	1	no	—
1286	C₂×Q₈	—	7	1	no	—
1287	C₂×Q₈	—	7	1	no	—
1288	C₂×Q₈	—	7	1	no	—
1289	C₂×Q₈	—	7	1	no	—
1290	C₂×Q₈	—	14	1	no	—
1291	C₂×Q₈	—	14	1	no	—
1292	C₂×Q₈	—	14	1	no	—
1293	C₂×Q₈	—	14	1	no	—
1294	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1295	C₂×D₄	—	2	1	no	—
1296	C₂×D₄	—	7	1	no	—
1297	C₂×D₄	—	7	1	no	—
1298	C₂×D₄	—	7	1	no	—
1299	C₂×D₄	—	7	1	no	—
1300	C₂×D₄	—	14	1	no	—
1301	C₂×D₄	—	14	1	no	—
1302	C₂×D₄	—	14	2	no	—
1303	C₂×D₄	—	14	1	no	—
1304	C₂×D₄	—	14	1	no	—
1305	C₂×D₄	—	28	1	no	—
1306	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	7	1	no	—
1309	C₂²×C₄	—	7	1	no	—
1310	C₂²×C₄	—	14	1	no	—
1311	C₂²×C₄	—	14	1	no	—
1312	C₂²×C₄	—	14	1	no	—
1313	C₂²×C₄	—	14	1	no	—
1314	C₂²×C₄	—	14	1	no	—
1315	C₂²×C₄	—	14	1	no	—
1316	C₂²×C₄	—	14	1	no	—
1317	C₂²×C₄	—	14	1	no	—
1318	C₂²×C₄	—	14	1	no	—
1319	C₂²×C₄	—	14	1	no	—
1320	C₂²×C₄	D₄×D₇	1	1	yes	characteristic
1321	C₂²×C₄	D₄×D₇	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1323	Q₁₆	—	28	1	no	—
1324	Q₁₆	—	28	1	no	—
1325	Q₁₆	—	28	1	no	—
1326	Q₁₆	—	28	1	no	—
1327	SD₁₆	—	14	2	no	—
1328	SD₁₆	—	14	2	no	—
1329	SD₁₆	—	28	1	no	—
1330	SD₁₆	—	28	1	no	—
1331	M₁₆	—	28	1	no	—
1332	M₁₆	—	28	1	no	—
1333	C₂×C₈	—	7	1	no	—
1334	C₂×C₈	—	7	1	no	—
1335	C₂×C₈	—	7	1	no	—
1336	C₂×C₈	—	7	1	no	—
1337	C₂×C₈	—	28	1	no	—
1338	C₂×C₈	—	28	1	no	—
1339	C₂×C₈	—	28	1	no	—
1340	C₂×C₈	—	28	1	no	—
1341	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1343	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	7	1	no	—
1356	C₄⋊C₄	—	7	1	no	—
1357	C₄⋊C₄	—	7	1	no	—
1358	C₄⋊C₄	—	7	1	no	—
1359	C₄⋊C₄	—	7	1	no	—
1360	C₄⋊C₄	—	7	1	no	—
1361	C₄⋊C₄	—	7	1	no	—
1362	C₄⋊C₄	—	7	1	no	—
1363	C₄⋊C₄	—	7	1	no	—
1364	C₄⋊C₄	—	7	1	no	—
1365	C₄⋊C₄	—	7	1	no	—
1366	C₄⋊C₄	—	7	1	no	—
1367	C₄⋊C₄	—	7	1	no	—
1368	C₄⋊C₄	—	7	1	no	—
1369	C₄⋊C₄	—	14	1	no	—
1370	C₄⋊C₄	—	14	1	no	—
1371	C₄⋊C₄	—	14	1	no	—
1372	C₄⋊C₄	—	14	1	no	—
1373	C₄⋊C₄	—	14	1	no	—
1374	C₄⋊C₄	—	14	1	no	—
1375	C₄⋊C₄	—	14	1	no	—
1376	C₄⋊C₄	—	14	1	no	—
1377	C₄⋊C₄	—	14	1	no	—
1378	C₄⋊C₄	—	14	1	no	—
1379	C₄⋊C₄	—	14	1	no	—
1380	C₄⋊C₄	—	14	1	no	—
1381	C₄⋊C₄	—	14	1	no	—
1382	C₄⋊C₄	—	14	1	no	—
1383	C₄⋊C₄	—	14	1	no	—
1384	C₄⋊C₄	—	14	1	no	—
1385	C₄⋊C₄	—	14	1	no	—
1386	C₄⋊C₄	—	14	1	no	—
1387	C₄⋊C₄	—	14	1	no	—
1388	C₄⋊C₄	—	14	1	no	—
1389	C₄⋊C₄	—	14	1	no	—
1390	C₄⋊C₄	—	14	1	no	—
1391	C₄⋊C₄	—	14	1	no	—
1392	C₄⋊C₄	—	14	1	no	—
1393	C₄⋊C₄	—	14	1	no	—
1394	C₄⋊C₄	—	14	1	no	—
1395	C₄⋊C₄	—	14	1	no	—
1396	C₄⋊C₄	—	14	1	no	—
1397	C₄⋊C₄	—	14	1	no	—
1398	C₄⋊C₄	—	14	1	no	—
1399	C₄⋊C₄	—	14	1	no	—
1400	C₄⋊C₄	—	14	1	no	—
1401	C₄⋊C₄	—	14	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1405	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1406	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1407	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1408	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1409	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	7	1	no	—
1418	C₂²⋊C₄	—	7	1	no	—
1419	C₂²⋊C₄	—	7	1	no	—
1420	C₂²⋊C₄	—	7	1	no	—
1421	C₂²⋊C₄	—	7	1	no	—
1422	C₂²⋊C₄	—	7	1	no	—
1423	C₂²⋊C₄	—	7	1	no	—
1424	C₂²⋊C₄	—	7	1	no	—
1425	C₂²⋊C₄	—	7	1	no	—
1426	C₂²⋊C₄	—	7	1	no	—
1427	C₂²⋊C₄	—	14	1	no	—
1428	C₂²⋊C₄	—	14	1	no	—
1429	C₂²⋊C₄	—	14	1	no	—
1430	C₂²⋊C₄	—	14	1	no	—
1431	C₂²⋊C₄	—	14	1	no	—
1432	C₂²⋊C₄	—	14	1	no	—
1433	C₂²⋊C₄	—	14	1	no	—
1434	C₂²⋊C₄	—	14	1	no	—
1435	C₂²⋊C₄	—	14	1	no	—
1436	C₂²⋊C₄	—	14	1	no	—
1437	C₂²⋊C₄	—	14	1	no	—
1438	C₂²⋊C₄	—	14	1	no	—
1439	C₂²⋊C₄	—	14	1	no	—
1440	C₂²⋊C₄	—	14	1	no	—
1441	C₂²⋊C₄	—	14	1	no	—
1442	C₂²⋊C₄	—	14	1	no	—
1443	C₂²⋊C₄	—	14	1	no	—
1444	C₂²⋊C₄	—	14	1	no	—
1445	C₂²⋊C₄	—	14	1	no	—
1446	C₂²⋊C₄	—	14	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	7	1	no	—
1452	C₄²	—	7	1	no	—
1453	C₄²	—	14	1	no	—
1454	C₄²	—	14	1	no	—
1455	C₄²	—	14	1	no	—
1456	C₄²	—	14	1	no	—
1457	C₄²	—	14	1	no	—
1458	C₄²	—	14	1	no	—
1459	C₄²	—	14	1	no	—
1460	C₄²	—	14	1	no	—
1461	C₄²	—	14	1	no	—
1462	C₄²	—	14	1	no	—
1463	C₄²	—	14	1	no	—
1464	C₄²	—	14	1	no	—
1465	C₄²	—	14	1	no	—
1466	C₄²	D₄×D₇	1	1	yes	characteristic
1467	C₄²	D₄×D₇	1	1	yes	characteristic
1468	C₄²	C₂³×D₇	1	1	yes	characteristic
1469	C₄²	C₂³×D₇	1	1	yes	characteristic
1470	C₂×C₇	—	4	1	no	—
1471	C₂×C₇	—	8	1	no	—
1472	C₂×C₇	#3489	1	1	yes	characteristic
1473	C₂×C₇	#3584	1	1	yes	characteristic
1474	C₂×C₇	#3586	1	1	yes	characteristic
1475	D₇	—	4	1	no	—
1476	D₇	—	4	1	no	—
1477	D₇	—	4	2	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	7	1	no	—
1480	C₂³	—	7	1	no	—
1481	C₂³	—	14	1	no	—
1482	C₂³	—	28	2	no	—
1483	C₂³	—	56	1	no	—
1484	C₂³	—	56	1	no	—
1485	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1486	Q₈	—	2	1	no	—
1487	Q₈	—	2	1	no	—
1488	Q₈	—	4	2	no	—
1489	Q₈	—	8	1	no	—
1490	Q₈	—	14	1	no	—
1491	Q₈	—	14	1	no	—
1492	Q₈	—	14	1	no	—
1493	Q₈	—	14	1	no	—
1494	Q₈	—	14	1	no	—
1495	Q₈	—	14	1	no	—
1496	Q₈	—	28	1	no	—
1497	Q₈	—	56	1	no	—
1498	Q₈	—	56	1	no	—
1499	Q₈	—	56	1	no	—
1500	Q₈	—	56	1	no	—
1501	D₄	—	2	1	no	—
1502	D₄	—	2	1	no	—
1503	D₄	—	7	2	no	—
1504	D₄	—	8	1	no	—
1505	D₄	—	14	1	no	—
1506	D₄	—	28	1	no	—
1507	D₄	—	28	2	no	—
1508	D₄	—	28	1	no	—
1509	D₄	—	28	1	no	—
1510	D₄	—	28	2	no	—
1511	D₄	—	28	2	no	—
1512	D₄	—	56	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	7	1	no	—
1525	C₂×C₄	—	7	1	no	—
1526	C₂×C₄	—	7	1	no	—
1527	C₂×C₄	—	7	1	no	—
1528	C₂×C₄	—	7	1	no	—
1529	C₂×C₄	—	7	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	14	1	no	—
1532	C₂×C₄	—	14	1	no	—
1533	C₂×C₄	—	14	1	no	—
1534	C₂×C₄	—	14	1	no	—
1535	C₂×C₄	—	14	1	no	—
1536	C₂×C₄	—	14	1	no	—
1537	C₂×C₄	—	14	1	no	—
1538	C₂×C₄	—	14	1	no	—
1539	C₂×C₄	—	14	1	no	—
1540	C₂×C₄	—	14	1	no	—
1541	C₂×C₄	—	14	1	no	—
1542	C₂×C₄	—	28	2	no	—
1543	C₂×C₄	—	28	2	no	—
1544	C₂×C₄	—	56	1	no	—
1545	C₂×C₄	—	56	1	no	—
1546	C₂×C₄	—	56	1	no	—
1547	C₂×C₄	—	56	1	no	—
1548	C₂×C₄	—	56	1	no	—
1549	C₂×C₄	—	56	1	no	—
1550	C₂×C₄	—	56	1	no	—
1551	C₂×C₄	—	56	1	no	—
1552	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1553	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1554	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1555	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1556	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1557	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	14	1	no	—
1563	C₈	—	14	1	no	—
1564	C₈	—	14	1	no	—
1565	C₈	—	14	1	no	—
1566	C₇	#62172	1	1	yes	characteristic, complemented, Sylow
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	14	1	no	—
1574	C₂²	—	14	1	no	—
1575	C₂²	—	14	1	no	—
1576	C₂²	—	14	1	no	—
1577	C₂²	—	14	1	no	—
1578	C₂²	—	14	1	no	—
1579	C₂²	—	14	2	no	—
1580	C₂²	—	28	1	no	—
1581	C₂²	—	28	1	no	—
1582	C₂²	—	112	2	no	—
1583	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	14	1	no	—
1597	C₄	—	14	1	no	—
1598	C₄	—	14	1	no	—
1599	C₄	—	14	1	no	—
1600	C₄	—	14	1	no	—
1601	C₄	—	14	1	no	—
1602	C₄	—	28	1	no	—
1603	C₄	—	28	1	no	—
1604	C₄	—	28	1	no	—
1605	C₄	—	28	1	no	—
1606	C₄	—	28	1	no	—
1607	C₄	—	28	1	no	—
1608	C₄	—	28	1	no	—
1609	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1610	C₄	#90620	1	1	yes	characteristic
1611	C₂	—	4	1	no	—
1612	C₂	—	8	1	no	—
1613	C₂	—	28	1	no	—
1614	C₂	—	28	1	no	—
1615	C₂	—	28	2	no	—
1616	C₂	#11743424	1	1	yes	characteristic
1617	C₂	#11744267	1	1	yes	characteristic
1618	C₂	#11744269	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×#3240	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743237	C₂
hypercenter	#3240	D₇
hypocenter	C₇	#62172
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3240

Complements

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

N	H ≅ G/N	type
1. #11743337	C₂	semidirect
3. C₇×#3240	C₂	semidirect
4. #11740794	C₂	semidirect
5. #11740600	C₂	semidirect
6. #11739441	C₂	semidirect
7. #11739436	C₂	semidirect
8. #11739413	C₂	semidirect
9. #11739410	C₂	semidirect
10. #11739145	C₂	semidirect
11. #11739143	C₂	semidirect
12. #11739122	C₂	semidirect
13. #11739116	C₂	semidirect
14. #11738992	C₂	semidirect
15. #11738989	C₂	semidirect
16. #11738983	C₂	semidirect
17. #11738978	C₂	semidirect
18. #11738846	C₂	semidirect
19. #11738839	C₂	semidirect
20. #11738832	C₂	semidirect
21. #11738826	C₂	semidirect
22. #11738689	C₂	semidirect
23. #11738686	C₂	semidirect
24. #11738680	C₂	semidirect
25. #11738654	C₂	semidirect
26. #11738628	C₂	semidirect
27. #11738623	C₂	semidirect
28. #11738613	C₂	semidirect
29. #11738592	C₂	semidirect
30. #11736793	C₂	semidirect
31. #11736786	C₂	semidirect
32. C₇×#533	C₂²	semidirect
36. #90413	C₂²	semidirect
37. #90412	C₂²	semidirect
41. #90388	C₂²	semidirect
45. #90380	C₂²	semidirect
69. #90224	C₂²	semidirect
72. #90220	C₂²	semidirect
76. #90161	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#501	C₂²	semidirect
81. C₇×#485	C₂²	semidirect
82. C₇×#485	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#479	C₂²	semidirect
89. C₇×#432	C₂²	semidirect
90. #89866	C₂²	semidirect
91. #89863	C₂²	semidirect
96. #89835	C₂²	semidirect
97. #89835	C₂²	semidirect
98. #89835	C₂²	semidirect
99. #89835	C₂²	semidirect
102. #89823	C₂²	semidirect
103. #89823	C₂²	semidirect
106. #89803	C₂²	semidirect
107. #89792	C₂²	semidirect
112. #89770	C₂²	semidirect
113. #89770	C₂²	semidirect
114. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
122. #89659	C₂²	semidirect
123. #89656	C₂²	semidirect
124. #89656	C₂²	semidirect
126. #89653	C₂²	semidirect
127. #89650	C₂²	semidirect
128. #89649	C₂²	semidirect
129. #89647	C₂²	semidirect
130. #89646	C₂²	semidirect
134. #89640	C₂²	semidirect
136. #89639	C₂²	semidirect
138. #89634	C₂²	semidirect
140. D₇×#106	C₂²	semidirect
141. #89629	C₂²	semidirect
142. #89628	C₂²	semidirect
143. #89628	C₂²	semidirect
144. #89626	C₂²	semidirect
147. #89622	C₂²	semidirect
148. #89621	C₂²	semidirect
152. #89612	C₂²	semidirect
154. #89611	C₂²	semidirect
163. #89571	C₂²	semidirect
164. #89569	C₂²	semidirect
165. #89565	C₂²	semidirect
166. #89565	C₂²	semidirect
167. #89564	C₂²	semidirect
168. #89563	C₂²	semidirect
169. #89562	C₂²	semidirect
170. #89561	C₂²	semidirect
190. #89502	C₂²	semidirect
192. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
193. #89495	C₂²	semidirect
194. #89495	C₂²	semidirect
195. #89488	C₂²	semidirect
196. #89488	C₂²	semidirect
201. #89473	C₂²	semidirect
202. #89473	C₂²	semidirect
502. #3240	D₇	semidirect
738. #533	C₂×D₇	semidirect
748. #501	C₂×D₇	semidirect
749. #501	C₂×D₇	semidirect
765. #485	C₂×D₇	semidirect
766. #485	C₂×D₇	semidirect
783. #479	C₂×D₇	semidirect
784. #479	C₂×D₇	semidirect
856. #432	C₂×D₇	semidirect
1566. C₇	#62172	semidirect

Maximal subgroups

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

subgroup	index
#11743337	2
#11743237	2
C₇×#3240	2
#11740794	2
#11740600	2
#11739441	2
#11739436	2
#11739413	2
#11739410	2
#11739145	2
#11739143	2
#11739122	2
#11739116	2
#11738992	2
#11738989	2
#11738983	2
#11738978	2
#11738846	2
#11738839	2
#11738832	2
#11738826	2
#11738689	2
#11738686	2
#11738680	2
#11738654	2
#11738628	2
#11738623	2
#11738613	2
#11738592	2
#11736793	2
#11736786	2
#62172	7