Subgroups — #14232602

Order 1792.

1834 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	D₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743895	C₂	1	1	yes	maximal, characteristic
3	C₇×#3352	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741042	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741041	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739370	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739364	C₂	1	1	yes	maximal, characteristic, complemented
8	#11738982	C₂	1	1	yes	maximal, characteristic, complemented
9	#11738979	C₂	1	1	yes	maximal, characteristic, complemented
10	#11738962	C₂	1	1	yes	maximal, characteristic, complemented
11	#11738961	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738924	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738922	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738914	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738913	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738699	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738698	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738676	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738675	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738365	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738364	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738349	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738349	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737186	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#6481	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736985	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736974	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736673	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736668	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736653	C₂	1	1	yes	maximal, characteristic, complemented
31	D₇×#428	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#552	C₂²	1	1	yes	characteristic
33	C₇×#552	C₂²	1	1	yes	characteristic
34	C₂×#6481	C₂²	1	1	yes	characteristic
35	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic
36	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic
37	#90399	—	2	1	no	—
38	#90397	—	2	1	no	—
39	#90396	—	2	1	no	—
40	D₇×#126	—	2	1	no	—
41	#90386	C₂²	1	1	yes	characteristic
42	#90385	C₂²	1	1	yes	characteristic
43	#90384	—	2	1	no	—
44	#90384	—	2	1	no	—
45	#90382	—	2	1	no	—
46	#90379	C₂²	1	1	yes	characteristic
47	D₇×#125	—	2	1	no	—
48	D₇×#125	C₂²	1	1	yes	characteristic
49	#90345	—	2	1	no	—
50	D₇×#123	—	2	1	no	—
51	#90341	—	2	1	no	—
52	#90340	—	2	1	no	—
53	#90333	C₂²	1	1	yes	characteristic
54	#90332	C₂²	1	1	yes	characteristic
55	#90330	C₂²	1	1	yes	characteristic
56	#90326	C₂²	1	1	yes	characteristic
57	#90318	C₂²	1	1	yes	characteristic
58	#90318	C₂²	1	1	yes	characteristic
59	D₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	#90272	C₂²	1	1	yes	characteristic
62	#90272	C₂²	1	1	yes	characteristic
63	C₄×#1161	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₇	C₂²	1	1	yes	characteristic
65	#90256	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
67	#90232	C₂²	1	1	yes	characteristic
68	#90223	C₂²	1	1	yes	characteristic
69	#90222	—	2	1	no	—
70	#90220	C₂²	1	1	yes	characteristic
71	#90218	—	2	1	no	—
72	#90213	—	2	1	no	—
73	D₇×#117	—	2	1	no	—
74	D₇×#117	C₂²	1	1	yes	characteristic
75	D₇×#117	C₂²	1	1	yes	characteristic
76	#90204	C₂²	1	1	yes	characteristic
77	#90198	C₂²	1	1	yes	characteristic
78	C₂×#6455	C₂²	1	1	yes	characteristic
79	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	C₇×#499	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic, complemented
82	C₇×#485	C₂²	1	1	yes	characteristic, complemented
83	C₇×#484	C₂²	1	1	yes	characteristic, complemented
84	C₇×#484	C₂²	1	1	yes	characteristic, complemented
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#479	C₂²	1	1	yes	characteristic, complemented
87	C₇×#470	C₂²	1	1	yes	characteristic, complemented
88	C₇×#470	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
90	C₇×#436	C₂²	1	1	yes	characteristic
91	C₇×#428	C₂²	1	1	yes	characteristic, complemented
92	C₇×#428	C₂²	1	1	yes	characteristic, complemented
93	#89960	C₂²	1	1	yes	characteristic, complemented
94	#89960	C₂²	1	1	yes	characteristic, complemented
95	#89956	C₂²	1	1	yes	characteristic, complemented
96	#89906	C₂²	1	1	yes	characteristic, complemented
97	#89906	C₂²	1	1	yes	characteristic, complemented
98	#89899	C₂²	1	1	yes	characteristic
99	#89899	C₂²	1	1	yes	characteristic
100	#89893	C₂²	1	1	yes	characteristic, complemented
101	#89893	C₂²	1	1	yes	characteristic, complemented
102	#89838	C₂²	1	1	yes	characteristic, complemented
103	#89836	C₂²	1	1	yes	characteristic, complemented
104	#89836	C₂²	1	1	yes	characteristic, complemented
105	#89835	C₂²	1	1	yes	characteristic, complemented
106	#89824	C₂²	1	1	yes	characteristic, complemented
107	#89824	C₂²	1	1	yes	characteristic, complemented
108	#89821	C₂²	1	1	yes	characteristic, complemented
109	#89821	C₂²	1	1	yes	characteristic, complemented
110	#89817	C₂²	1	1	yes	characteristic, complemented
111	#89817	C₂²	1	1	yes	characteristic, complemented
112	#89816	C₂²	1	1	yes	characteristic, complemented
113	#89815	C₂²	1	1	yes	characteristic, complemented
114	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
115	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
116	#89794	C₂²	1	1	yes	characteristic, complemented
117	#89794	C₂²	1	1	yes	characteristic, complemented
118	#89784	C₂²	1	1	yes	characteristic
119	#89775	C₂²	1	1	yes	characteristic, complemented
120	#89768	C₂²	1	1	yes	characteristic, complemented
121	#89767	C₂²	1	1	yes	characteristic, complemented
122	#89767	C₂²	1	1	yes	characteristic, complemented
123	#89742	C₂²	1	1	yes	characteristic, complemented
124	#89740	C₂²	1	1	yes	characteristic, complemented
125	#89736	C₂²	1	1	yes	characteristic, complemented
126	#89736	C₂²	1	1	yes	characteristic, complemented
127	#89663	C₂²	1	1	yes	characteristic, complemented
128	#89661	C₂²	1	1	yes	characteristic, complemented
129	#89660	C₂²	1	1	yes	characteristic, complemented
130	#89660	C₂²	1	1	yes	characteristic, complemented
131	#89657	C₂²	1	1	yes	characteristic, complemented
132	#89656	C₂²	1	1	yes	characteristic, complemented
133	#89654	C₂²	1	1	yes	characteristic, complemented
134	#89654	C₂²	1	1	yes	characteristic, complemented
135	#89653	C₂²	1	1	yes	characteristic
136	#89653	C₂²	1	1	yes	characteristic
137	#89653	C₂²	1	1	yes	characteristic
138	#89653	C₂²	1	1	yes	characteristic
139	#89653	C₂²	1	1	yes	characteristic
140	#89652	C₂²	1	1	yes	characteristic, complemented
141	#89652	C₂²	1	1	yes	characteristic, complemented
142	D₇×#107	C₂²	1	1	yes	characteristic, complemented
143	D₇×#107	C₂²	1	1	yes	characteristic, complemented
144	#89648	C₂²	1	1	yes	characteristic, complemented
145	#89648	C₂²	1	1	yes	characteristic, complemented
146	#89647	C₂²	1	1	yes	characteristic, complemented
147	#89643	C₂²	1	1	yes	characteristic, complemented
148	#89638	C₂²	1	1	yes	characteristic, complemented
149	#89636	C₂²	1	1	yes	characteristic, complemented
150	#89636	C₂²	1	1	yes	characteristic, complemented
151	#89634	C₂²	1	1	yes	characteristic, complemented
152	#89633	C₂²	1	1	yes	characteristic
153	#89633	C₂²	1	1	yes	characteristic
154	#89633	C₂²	1	1	yes	characteristic
155	#89633	C₂²	1	1	yes	characteristic
156	#89632	C₂²	1	1	yes	characteristic, complemented
157	#89632	C₂²	1	1	yes	characteristic, complemented
158	D₇×#106	C₂²	1	1	yes	characteristic, complemented
159	D₇×#106	C₂²	1	1	yes	characteristic, complemented
160	#89628	C₂²	1	1	yes	characteristic, complemented
161	#89628	C₂²	1	1	yes	characteristic, complemented
162	#89626	C₂²	1	1	yes	characteristic, complemented
163	#89619	C₂²	1	1	yes	characteristic, complemented
164	#89609	C₂²	1	1	yes	characteristic
165	#89606	C₂²	1	1	yes	characteristic
166	#89601	C₂²	1	1	yes	characteristic, complemented
167	#89589	C₂²	1	1	yes	characteristic, complemented
168	#89587	C₂²	1	1	yes	characteristic, complemented
169	#89587	C₂²	1	1	yes	characteristic, complemented
170	#89587	C₂²	1	1	yes	characteristic, complemented
171	#89586	C₂²	1	1	yes	characteristic, complemented
172	#89585	C₂²	1	1	yes	characteristic, complemented
173	#89585	C₂²	1	1	yes	characteristic, complemented
174	#89581	C₂²	1	1	yes	characteristic, complemented
175	#89579	C₂²	1	1	yes	characteristic, complemented
176	#89579	C₂²	1	1	yes	characteristic, complemented
177	#89577	C₂²	1	1	yes	characteristic, complemented
178	#89577	C₂²	1	1	yes	characteristic, complemented
179	#89577	C₂²	1	1	yes	characteristic, complemented
180	#89575	C₂²	1	1	yes	characteristic
181	#89575	C₂²	1	1	yes	characteristic
182	#89575	C₂²	1	1	yes	characteristic
183	#89574	C₂²	1	1	yes	characteristic
184	#89574	C₂²	1	1	yes	characteristic
185	#89574	C₂²	1	1	yes	characteristic
186	#89571	C₂²	1	1	yes	characteristic, complemented
187	#89568	C₂²	1	1	yes	characteristic, complemented
188	#89566	C₂²	1	1	yes	characteristic, complemented
189	#89563	C₂²	1	1	yes	characteristic, complemented
190	#89561	C₂²	1	1	yes	characteristic, complemented
191	#89509	C₂²	1	1	yes	characteristic, complemented
192	#89507	C₂²	1	1	yes	characteristic, complemented
193	#89500	C₂²	1	1	yes	characteristic
194	#89500	C₂²	1	1	yes	characteristic
195	#89498	C₂²	1	1	yes	characteristic
196	#89498	C₂²	1	1	yes	characteristic
197	#89495	C₂²	1	1	yes	characteristic, complemented
198	#89493	C₂²	1	1	yes	characteristic, complemented
199	C₄×#1132	C₂²	1	1	yes	characteristic, complemented
200	C₄×#1131	C₂²	1	1	yes	characteristic
201	C₈×D₂₈	C₂²	1	1	yes	characteristic
202	#89455	C₂²	1	1	yes	characteristic, complemented
203	#61253	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₇	D₄	1	1	yes	characteristic
207	C₂×#1157	—	2	1	no	—
208	C₂²×C₄×D₇	—	2	1	no	—
209	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
211	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
214	C₇×#126	—	2	1	no	—
215	C₇×#126	—	2	1	no	—
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×#123	—	2	1	no	—
221	C₇×#123	—	2	1	no	—
222	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₇×#117	—	2	1	no	—
230	C₇×#117	—	2	1	no	—
231	C₇×#117	C₂³	1	1	yes	characteristic
232	C₇×#117	C₂³	1	1	yes	characteristic
233	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	#6509	C₂³	1	1	yes	characteristic
236	#6509	C₂³	1	1	yes	characteristic
237	#6509	C₂³	1	1	yes	characteristic
238	#6509	C₂³	1	1	yes	characteristic
239	Q₈×Dic₇	C₂³	1	1	yes	characteristic
240	Q₈×Dic₇	C₂³	1	1	yes	characteristic
241	C₂×#1144	C₂³	1	1	yes	characteristic
242	C₂×#1143	C₂³	1	1	yes	characteristic
243	#6502	—	2	1	no	—
244	#6498	—	2	1	no	—
245	D₄×Dic₇	D₄	1	1	yes	characteristic
246	#6493	C₂³	1	1	yes	characteristic
247	#6493	C₂³	1	1	yes	characteristic
248	#6492	—	2	1	no	—
249	#6492	—	2	1	no	—
250	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
251	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
253	#6489	—	2	1	no	—
254	#6489	C₂³	1	1	yes	characteristic
255	#6489	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
258	#6487	C₂³	1	1	yes	characteristic
259	#6487	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	—	2	1	no	—
261	C₂×C₄×Dic₇	—	2	1	no	—
262	C₂×#1136	C₂³	1	1	yes	characteristic
263	C₂×#1136	C₂³	1	1	yes	characteristic
264	#6481	—	2	4	no	—
265	D₇×M₁₆	—	2	4	no	—
266	D₇×M₁₆	—	2	4	no	—
267	C₂×#1132	C₂³	1	1	yes	characteristic
268	C₂×#1131	C₂³	1	1	yes	characteristic
269	C₂×#1131	C₂³	1	1	yes	characteristic
270	C₂×#1131	C₂³	1	1	yes	characteristic
271	C₂×#1131	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
273	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
276	#6461	—	2	1	no	—
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	#6460	—	2	1	no	—
283	#6460	C₂³	1	1	yes	characteristic
284	#6460	C₂³	1	1	yes	characteristic
285	#6459	—	2	1	no	—
286	#6459	—	2	1	no	—
287	#6459	—	2	1	no	—
288	#6459	—	2	1	no	—
289	#6459	—	2	1	no	—
290	#6458	—	2	1	no	—
291	#6458	C₂³	1	1	yes	characteristic
292	#6458	C₂³	1	1	yes	characteristic
293	#6457	—	2	1	no	—
294	#6457	—	2	1	no	—
295	#6457	—	2	1	no	—
296	#6457	—	2	1	no	—
297	#6457	—	2	1	no	—
298	#6457	—	2	1	no	—
299	#6457	—	2	1	no	—
300	#6456	—	2	1	no	—
301	#6456	—	2	1	no	—
302	#6456	—	2	1	no	—
303	#6456	—	2	1	no	—
304	#6456	D₄	1	1	yes	characteristic
305	#6456	C₂³	1	1	yes	characteristic
306	#6455	—	2	1	no	—
307	#6455	—	2	1	no	—
308	#6455	—	2	1	no	—
309	#6455	—	2	1	no	—
310	#6455	—	2	1	no	—
311	#6455	C₂³	1	1	yes	characteristic
312	#6455	C₂³	1	1	yes	characteristic
313	#6455	C₂³	1	1	yes	characteristic
314	#6455	C₂³	1	1	yes	characteristic
315	#6455	C₂³	1	1	yes	characteristic
316	#6455	C₂³	1	1	yes	characteristic
317	#6455	C₂³	1	1	yes	characteristic
318	D₇×C₄⋊C₄	—	2	1	no	—
319	D₇×C₄⋊C₄	—	2	1	no	—
320	D₇×C₄⋊C₄	—	2	1	no	—
321	D₇×C₄⋊C₄	—	2	1	no	—
322	D₇×C₄⋊C₄	—	2	1	no	—
323	D₇×C₄⋊C₄	—	2	1	no	—
324	D₇×C₄⋊C₄	—	2	1	no	—
325	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
326	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	#6453	—	2	1	no	—
334	#6453	—	2	1	no	—
335	#6453	C₂³	1	1	yes	characteristic
336	#6453	C₂³	1	1	yes	characteristic
337	#6452	—	2	1	no	—
338	#6452	—	2	1	no	—
339	#6452	—	2	1	no	—
340	#6452	—	2	1	no	—
341	#6452	—	2	1	no	—
342	#6452	—	2	1	no	—
343	#6452	—	2	1	no	—
344	#6452	—	2	1	no	—
345	#6451	C₂³	1	1	yes	characteristic
346	#6451	C₂³	1	1	yes	characteristic
347	#6450	—	2	1	no	—
348	#6450	—	2	1	no	—
349	#6450	—	2	1	no	—
350	#6450	—	2	1	no	—
351	#6450	C₂³	1	1	yes	characteristic
352	#6449	—	2	1	no	—
353	#6448	—	2	1	no	—
354	#6448	—	2	1	no	—
355	#6447	—	2	1	no	—
356	#6446	—	2	1	no	—
357	#6446	—	2	1	no	—
358	#6446	—	2	1	no	—
359	#6445	—	2	1	no	—
360	#6445	—	2	1	no	—
361	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
362	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
363	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
364	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
365	(C₂²⋊D₇)⋊C₄	D₄	1	1	yes	characteristic
366	(C₂²⋊D₇)⋊C₄	D₄	1	1	yes	characteristic
367	D₇×C₂²⋊C₄	—	2	1	no	—
368	D₇×C₂²⋊C₄	—	2	1	no	—
369	D₇×C₂²⋊C₄	—	2	1	no	—
370	D₇×C₂²⋊C₄	—	2	1	no	—
371	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
372	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
373	#6442	—	2	1	no	—
374	#6442	—	2	1	no	—
375	#6442	—	2	1	no	—
376	#6442	—	2	1	no	—
377	#6441	—	2	1	no	—
378	#6441	—	2	1	no	—
379	#6441	—	2	1	no	—
380	#6440	—	2	1	no	—
381	#6440	—	2	1	no	—
382	#6440	—	2	1	no	—
383	#6440	—	2	1	no	—
384	#6439	—	2	1	no	—
385	#6439	—	2	1	no	—
386	#6438	—	2	1	no	—
387	C₄×D₂₈	—	2	1	no	—
388	C₄×D₂₈	C₂³	1	1	yes	characteristic
389	C₄×D₂₈	C₂³	1	1	yes	characteristic
390	#6435	—	2	1	no	—
391	#6435	—	2	1	no	—
392	#6435	—	2	1	no	—
393	#6435	—	2	1	no	—
394	#6435	—	2	1	no	—
395	#6435	—	2	1	no	—
396	C₄²×D₇	—	2	1	no	—
397	C₄²×D₇	—	2	1	no	—
398	C₄²×D₇	—	2	1	no	—
399	C₄²×D₇	—	2	1	no	—
400	C₄²×D₇	C₂³	1	1	yes	characteristic
401	#6433	—	2	1	no	—
402	#6433	C₂³	1	1	yes	characteristic
403	#6433	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₄	—	2	1	no	—
405	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
406	C₇×#107	C₂³	1	1	yes	characteristic
407	C₇×#107	C₂³	1	1	yes	characteristic
408	C₇×#107	C₂³	1	1	yes	characteristic
409	C₇×#107	C₂³	1	1	yes	characteristic
410	C₇×#107	C₂³	1	1	yes	characteristic
411	C₇×#106	C₂³	1	1	yes	characteristic
412	C₇×#106	C₂³	1	1	yes	characteristic
413	C₇×#106	C₂³	1	1	yes	characteristic
414	C₇×#106	C₂³	1	1	yes	characteristic
415	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₇×#103	C₂³	1	1	yes	characteristic
417	C₇×#103	C₂³	1	1	yes	characteristic
418	C₇×#103	C₂³	1	1	yes	characteristic
419	C₇×#103	C₂³	1	1	yes	characteristic
420	C₇×#103	C₂³	1	1	yes	characteristic
421	C₇×#103	C₂³	1	1	yes	characteristic
422	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	C₂³	1	1	yes	characteristic
427	#6409	C₂³	1	1	yes	characteristic
428	#6409	C₂³	1	1	yes	characteristic
429	#6409	C₂³	1	1	yes	characteristic
430	#6409	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
432	C₂²⋊(C₇⋊C₈)	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	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
437	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
438	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
439	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
440	#6392	C₂³	1	1	yes	characteristic
441	#6392	C₂³	1	1	yes	characteristic
442	#6392	C₂³	1	1	yes	characteristic
443	#6392	C₂³	1	1	yes	characteristic
444	#6391	C₂³	1	1	yes	characteristic
445	#6391	C₂³	1	1	yes	characteristic
446	#6391	C₂³	1	1	yes	characteristic
447	#6391	C₂³	1	1	yes	characteristic
448	#6391	C₂³	1	1	yes	characteristic
449	#6390	C₂³	1	1	yes	characteristic
450	#6390	C₂³	1	1	yes	characteristic
451	#6390	C₂³	1	1	yes	characteristic
452	#6389	C₂³	1	1	yes	characteristic
453	#6389	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₇⋊C₈	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	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#6382	C₂³	1	1	yes	characteristic
468	#6382	C₂³	1	1	yes	characteristic
469	#6382	C₂³	1	1	yes	characteristic
470	#6382	C₂³	1	1	yes	characteristic
471	#6381	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	#6381	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	#6381	C₂³	1	1	yes	characteristic
476	#6381	C₂³	1	1	yes	characteristic
477	#6381	C₂³	1	1	yes	characteristic
478	#6381	C₂³	1	1	yes	characteristic
479	#6381	C₂³	1	1	yes	characteristic
480	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	#3475	—	7	1	no	—
483	C₂×#552	—	7	1	no	—
484	#3352	—	7	1	no	—
485	#3352	D₇	1	1	yes	characteristic, complemented
486	#3351	—	7	1	no	—
487	#3351	—	7	1	no	—
488	#3349	—	7	1	no	—
489	#3349	—	7	1	no	—
490	#3348	—	7	1	no	—
491	#3348	—	7	1	no	—
492	#3344	—	7	1	no	—
493	#3344	—	7	1	no	—
494	#3343	—	7	1	no	—
495	#3343	—	7	1	no	—
496	#3337	—	7	1	no	—
497	#3337	—	7	1	no	—
498	#3336	—	7	1	no	—
499	#3336	—	7	1	no	—
500	#3166	—	7	1	no	—
501	#3095	—	7	1	no	—
502	#3095	—	7	1	no	—
503	#3093	—	7	1	no	—
504	#3092	—	7	1	no	—
505	#3080	—	7	1	no	—
506	#3078	—	7	1	no	—
507	#3056	—	7	1	no	—
508	#3056	—	7	1	no	—
509	C₄×#137	—	7	1	no	—
510	D₄×M₁₆	—	7	1	no	—
511	#2911	—	7	1	no	—
512	C₂×#428	—	7	1	no	—
513	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
514	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
515	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
518	C₂²×C₄×C₇	—	2	1	no	—
519	C₂²×C₄×C₇	—	2	1	no	—
520	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
525	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
526	C₂²×Dic₇	—	2	1	no	—
527	C₂²×Dic₇	—	2	1	no	—
528	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
529	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
530	#1161	—	2	2	no	—
531	#1161	—	2	2	no	—
532	Q₈×D₇	—	2	2	no	—
533	Q₈×D₇	—	2	2	no	—
534	D₄×D₇	—	4	2	no	—
535	#1157	—	4	4	no	—
536	C₂×D₂₈	—	2	1	no	—
537	C₂×D₂₈	—	2	1	no	—
538	C₂×D₂₈	—	2	1	no	—
539	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
540	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₇	—	2	2	no	—
542	C₂×C₄×D₇	—	2	2	no	—
543	C₂×C₄×D₇	—	2	2	no	—
544	C₂×C₄×D₇	—	2	2	no	—
545	C₂×C₄×D₇	—	2	1	no	—
546	C₂×C₄×D₇	—	2	1	no	—
547	C₂×C₄×D₇	—	2	1	no	—
548	C₂×C₄×D₇	—	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	—	4	4	no	—
557	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
558	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₄	—	2	1	no	—
567	C₂×Dic₁₄	—	2	1	no	—
568	C₂×Dic₁₄	—	2	1	no	—
569	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
570	C₇×Q₁₆	—	2	2	no	—
571	C₇×M₁₆	—	2	2	no	—
572	C₇×M₁₆	—	2	2	no	—
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	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
586	C₇×C₄⋊C₄	—	2	1	no	—
587	C₇×C₄⋊C₄	—	2	1	no	—
588	C₇×C₄⋊C₄	—	2	1	no	—
589	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₇×C₂²⋊C₄	—	2	1	no	—
597	C₇×C₂²⋊C₄	—	2	1	no	—
598	C₇×C₂²⋊C₄	—	2	1	no	—
599	C₇×C₂²⋊C₄	—	2	1	no	—
600	C₇×C₂²⋊C₄	—	2	1	no	—
601	C₇×C₂²⋊C₄	—	2	1	no	—
602	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₄²×C₇	—	2	1	no	—
605	C₄²×C₇	—	2	1	no	—
606	C₄²×C₇	—	2	1	no	—
607	C₄²×C₇	—	2	1	no	—
608	C₄²×C₇	C₂⁴	1	1	yes	characteristic
609	C₂²⋊Dic₇	—	2	1	no	—
610	C₂²⋊Dic₇	—	2	1	no	—
611	C₂²⋊Dic₇	—	2	1	no	—
612	C₂²⋊Dic₇	—	2	1	no	—
613	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
615	#1144	—	2	2	no	—
616	#1143	—	2	2	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	C₂×D₄	1	1	yes	characteristic
637	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
638	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
639	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₄⋊Dic₇	—	2	1	no	—
641	C₄⋊Dic₇	—	2	1	no	—
642	C₄⋊Dic₇	—	2	1	no	—
643	C₄⋊Dic₇	—	2	1	no	—
644	C₄⋊Dic₇	—	2	1	no	—
645	C₄⋊Dic₇	—	2	1	no	—
646	C₄⋊Dic₇	—	2	1	no	—
647	C₄⋊Dic₇	—	2	1	no	—
648	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
649	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
650	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
655	Dic₇⋊C₄	—	2	1	no	—
656	Dic₇⋊C₄	—	2	1	no	—
657	Dic₇⋊C₄	—	2	1	no	—
658	Dic₇⋊C₄	—	2	1	no	—
659	Dic₇⋊C₄	—	2	1	no	—
660	Dic₇⋊C₄	—	2	1	no	—
661	Dic₇⋊C₄	—	2	1	no	—
662	Dic₇⋊C₄	—	2	1	no	—
663	Dic₇⋊C₄	—	2	1	no	—
664	Dic₇⋊C₄	—	2	1	no	—
665	Dic₇⋊C₄	—	2	1	no	—
666	Dic₇⋊C₄	—	2	1	no	—
667	Dic₇⋊C₄	—	2	1	no	—
668	Dic₇⋊C₄	—	2	1	no	—
669	Dic₇⋊C₄	—	2	1	no	—
670	Dic₇⋊C₄	—	2	1	no	—
671	Dic₇⋊C₄	—	2	1	no	—
672	Dic₇⋊C₄	—	2	1	no	—
673	Dic₇⋊C₄	—	2	1	no	—
674	Dic₇⋊C₄	—	2	1	no	—
675	Dic₇⋊C₄	—	2	1	no	—
676	Dic₇⋊C₄	—	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	C₄×Dic₇	—	2	1	no	—
681	C₄×Dic₇	—	2	1	no	—
682	C₄×Dic₇	—	2	1	no	—
683	C₄×Dic₇	—	2	1	no	—
684	C₄×Dic₇	—	2	1	no	—
685	C₄×Dic₇	—	2	1	no	—
686	C₄×Dic₇	—	2	1	no	—
687	C₄×Dic₇	—	2	1	no	—
688	C₄×Dic₇	—	2	1	no	—
689	C₄×Dic₇	—	2	1	no	—
690	C₄×Dic₇	—	2	1	no	—
691	C₄×Dic₇	—	2	1	no	—
692	C₄×Dic₇	—	2	1	no	—
693	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
696	#1136	—	2	2	no	—
697	#1136	—	2	2	no	—
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
702	#1132	—	2	2	no	—
703	#1131	—	2	2	no	—
704	#1131	—	2	2	no	—
705	#1131	—	2	2	no	—
706	#1131	#41	1	4	yes	complemented
707	C₈×D₇	—	2	2	no	—
708	C₈×D₇	—	2	2	no	—
709	C₈×D₇	—	2	2	no	—
710	C₈×D₇	—	2	2	no	—
711	C₂×#137	—	7	1	no	—
712	C₂²×M₁₆	—	7	1	no	—
713	C₂²×M₁₆	—	7	1	no	—
714	#556	—	7	1	no	—
715	#555	—	7	1	no	—
716	#554	—	7	1	no	—
717	#553	—	7	1	no	—
718	#553	—	7	1	no	—
719	#552	—	7	1	no	—
720	#552	—	7	1	no	—
721	#552	—	7	1	no	—
722	#552	—	7	1	no	—
723	#552	—	7	1	no	—
724	#552	—	7	1	no	—
725	#552	—	7	1	no	—
726	#552	—	7	1	no	—
727	#552	—	14	1	no	—
728	#552	—	14	1	no	—
729	#552	—	14	1	no	—
730	#552	—	14	1	no	—
731	#552	—	14	1	no	—
732	#552	C₂×D₇	1	1	yes	characteristic
733	#552	C₂×D₇	1	1	yes	characteristic
734	#551	—	14	1	no	—
735	#551	—	14	1	no	—
736	#547	—	7	1	no	—
737	#546	—	14	1	no	—
738	#533	—	7	1	no	—
739	#529	—	14	1	no	—
740	#529	—	14	1	no	—
741	#529	—	14	1	no	—
742	C₂×#126	—	14	1	no	—
743	C₂×#125	—	7	1	no	—
744	C₂×#125	—	14	1	no	—
745	#525	—	7	1	no	—
746	#525	—	7	1	no	—
747	C₂×#123	—	14	1	no	—
748	C₂×C₂²⋊Q₈	—	7	1	no	—
749	C₂×C₂²⋊Q₈	—	7	1	no	—
750	C₄×#41	—	7	1	no	—
751	C₄×#41	—	14	1	no	—
752	C₂×C₄×Q₈	—	7	1	no	—
753	C₂×C₄×D₄	—	7	1	no	—
754	C₂×#117	—	7	1	no	—
755	C₂×#117	—	7	1	no	—
756	C₂×#117	—	7	1	no	—
757	C₂×#117	—	14	1	no	—
758	C₂²×C₄⋊C₄	—	7	1	no	—
759	#501	—	7	1	no	—
760	#501	—	7	1	no	—
761	#501	—	7	1	no	—
762	#501	—	7	1	no	—
763	#499	—	7	1	no	—
764	#499	—	7	1	no	—
765	#499	—	7	1	no	—
766	#499	C₂×D₇	1	1	yes	characteristic, complemented
767	#485	—	7	1	no	—
768	#485	—	7	1	no	—
769	#485	—	7	1	no	—
770	#485	—	7	1	no	—
771	#485	—	7	1	no	—
772	#485	—	7	1	no	—
773	#485	—	7	1	no	—
774	#485	—	7	1	no	—
775	#485	—	7	1	no	—
776	#485	—	7	1	no	—
777	#485	C₂×D₇	1	1	yes	characteristic, complemented
778	#485	C₂×D₇	1	1	yes	characteristic, complemented
779	#484	—	7	1	no	—
780	#484	—	7	1	no	—
781	#484	—	7	1	no	—
782	#484	—	7	1	no	—
783	#484	C₂×D₇	1	1	yes	characteristic, complemented
784	#484	C₂×D₇	1	1	yes	characteristic, complemented
785	#483	—	7	1	no	—
786	#483	—	7	1	no	—
787	#483	—	7	1	no	—
788	#483	—	7	1	no	—
789	#483	—	7	1	no	—
790	#483	—	7	1	no	—
791	#482	—	7	1	no	—
792	#482	—	7	1	no	—
793	#482	—	7	1	no	—
794	#482	—	7	1	no	—
795	#481	—	7	1	no	—
796	#481	—	7	1	no	—
797	#480	—	7	1	no	—
798	#480	—	7	1	no	—
799	#479	—	7	1	no	—
800	#479	—	7	1	no	—
801	#479	—	7	1	no	—
802	#479	—	7	1	no	—
803	#479	—	7	1	no	—
804	#479	—	7	1	no	—
805	#479	C₂×D₇	1	1	yes	characteristic, complemented
806	#479	C₂×D₇	1	1	yes	characteristic, complemented
807	#478	—	7	1	no	—
808	#478	—	7	1	no	—
809	#478	—	7	1	no	—
810	#478	—	7	1	no	—
811	#477	—	7	1	no	—
812	#477	—	7	1	no	—
813	#475	—	7	1	no	—
814	#475	—	7	1	no	—
815	#470	—	7	1	no	—
816	#470	—	7	1	no	—
817	#470	C₂×D₇	1	1	yes	characteristic, complemented
818	#470	C₂×D₇	1	1	yes	characteristic, complemented
819	#468	—	7	1	no	—
820	#468	—	7	1	no	—
821	#468	—	7	1	no	—
822	#468	—	7	1	no	—
823	#467	—	7	1	no	—
824	#467	—	7	1	no	—
825	#467	—	7	1	no	—
826	#467	—	7	1	no	—
827	#465	—	7	1	no	—
828	#465	—	7	1	no	—
829	#465	—	7	1	no	—
830	#465	—	7	1	no	—
831	#441	—	7	1	no	—
832	#441	—	7	1	no	—
833	#440	—	7	1	no	—
834	#440	—	7	1	no	—
835	C₄×Q₁₆	—	7	1	no	—
836	C₄×Q₁₆	C₂×D₇	1	1	yes	characteristic, complemented
837	C₄×SD₁₆	—	7	1	no	—
838	C₄×SD₁₆	—	7	1	no	—
839	#436	—	7	1	no	—
840	#436	C₂×D₇	1	1	yes	characteristic
841	#435	—	7	1	no	—
842	#435	—	7	1	no	—
843	#435	—	7	1	no	—
844	#435	—	7	1	no	—
845	C₈×D₄	—	7	1	no	—
846	C₈×D₄	—	7	1	no	—
847	#428	—	7	1	no	—
848	#428	—	7	1	no	—
849	#428	—	7	1	no	—
850	#428	—	7	1	no	—
851	#428	—	7	1	no	—
852	#428	—	7	1	no	—
853	#428	—	7	1	no	—
854	#428	—	7	1	no	—
855	#428	—	7	1	no	—
856	#428	—	7	1	no	—
857	#428	—	7	1	no	—
858	#428	—	7	1	no	—
859	#428	—	7	1	no	—
860	#428	—	7	1	no	—
861	#428	—	7	1	no	—
862	#428	C₂×D₇	1	1	yes	characteristic, complemented
863	#428	C₂×D₇	1	1	yes	characteristic, complemented
864	#427	—	7	1	no	—
865	#427	—	7	1	no	—
866	#427	—	7	1	no	—
867	#427	—	7	1	no	—
868	C₂×#107	—	7	1	no	—
869	C₂×#107	—	7	1	no	—
870	C₂×#106	—	7	1	no	—
871	C₂×#106	—	7	1	no	—
872	#423	—	7	1	no	—
873	#419	—	7	1	no	—
874	#419	—	7	1	no	—
875	#419	—	7	1	no	—
876	#417	—	7	1	no	—
877	#417	—	7	1	no	—
878	#417	—	7	1	no	—
879	#407	—	7	1	no	—
880	#407	—	7	1	no	—
881	C₄×M₁₆	—	7	1	no	—
882	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
883	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
884	C₂²×D₇	—	2	2	no	—
885	C₂²×D₇	—	2	2	no	—
886	C₂²×D₇	—	2	2	no	—
887	C₂²×D₇	—	2	1	no	—
888	C₂²×D₇	—	4	1	no	—
889	C₂²×D₇	—	4	1	no	—
890	C₂²×D₇	—	4	1	no	—
891	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
892	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
894	C₇×Q₈	—	2	1	no	—
895	C₇×Q₈	—	2	1	no	—
896	C₇×Q₈	—	2	1	no	—
897	C₇×Q₈	—	2	1	no	—
898	C₇×D₄	—	4	1	no	—
899	C₂×C₄×C₇	—	2	1	no	—
900	C₂×C₄×C₇	—	2	1	no	—
901	C₂×C₄×C₇	—	2	1	no	—
902	C₂×C₄×C₇	—	2	1	no	—
903	C₂×C₄×C₇	—	2	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	4	2	no	—
912	C₂×C₄×C₇	—	4	2	no	—
913	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
918	C₂²⋊D₇	—	2	2	no	—
919	C₂²⋊D₇	—	4	1	no	—
920	C₂²⋊D₇	—	4	2	no	—
921	C₂²⋊D₇	—	8	1	no	—
922	C₂×Dic₇	—	2	2	no	—
923	C₂×Dic₇	—	2	2	no	—
924	C₂×Dic₇	—	2	1	no	—
925	C₂×Dic₇	—	2	1	no	—
926	C₂×Dic₇	—	2	1	no	—
927	C₂×Dic₇	—	2	1	no	—
928	C₂×Dic₇	—	2	1	no	—
929	C₂×Dic₇	—	2	1	no	—
930	C₂×Dic₇	—	2	1	no	—
931	C₂×Dic₇	—	4	2	no	—
932	C₂×Dic₇	—	8	1	no	—
933	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
937	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
938	D₂₈	—	2	2	no	—
939	D₂₈	—	2	1	no	—
940	D₂₈	—	2	1	no	—
941	D₂₈	—	4	2	no	—
942	D₂₈	—	4	2	no	—
943	D₂₈	—	8	1	no	—
944	C₄×D₇	—	2	2	no	—
945	C₄×D₇	—	2	2	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	2	no	—
951	C₄×D₇	—	2	2	no	—
952	C₄×D₇	—	4	1	no	—
953	C₄×D₇	—	4	1	no	—
954	C₄×D₇	—	4	2	no	—
955	C₄×D₇	—	4	2	no	—
956	C₄×D₇	—	4	2	no	—
957	C₄×D₇	—	4	2	no	—
958	C₄×D₇	—	4	2	no	—
959	C₄×D₇	—	4	2	no	—
960	C₄×D₇	—	4	2	no	—
961	C₄×D₇	—	4	2	no	—
962	C₄×D₇	—	4	2	no	—
963	C₄×D₇	—	8	1	no	—
964	C₄×D₇	—	8	1	no	—
965	C₄×D₇	C₂×#41	1	2	yes	—
966	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
967	Dic₁₄	—	2	1	no	—
968	Dic₁₄	—	2	1	no	—
969	Dic₁₄	—	4	2	no	—
970	Dic₁₄	—	4	2	no	—
971	Dic₁₄	—	8	1	no	—
972	C₇×C₈	—	2	1	no	—
973	C₇×C₈	—	2	1	no	—
974	C₇×C₈	—	2	1	no	—
975	C₇×C₈	C₂×#41	1	2	yes	—
976	C₇⋊C₈	—	2	1	no	—
977	C₇⋊C₈	—	2	1	no	—
978	C₇⋊C₈	—	2	1	no	—
979	C₇⋊C₈	C₂×#41	1	2	yes	—
980	C₂×#41	—	7	1	no	—
981	C₂×#41	—	14	1	no	—
982	C₂²×Q₈	—	7	1	no	—
983	C₂²×D₄	—	7	1	no	—
984	C₂³×C₄	—	7	1	no	—
985	C₂³×C₄	—	7	1	no	—
986	C₂³×C₄	—	14	1	no	—
987	#137	—	14	4	no	—
988	C₂×Q₁₆	—	7	1	no	—
989	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
990	C₂×SD₁₆	—	7	1	no	—
991	C₂×SD₁₆	—	7	1	no	—
992	C₂×M₁₆	—	7	1	no	—
993	C₂×M₁₆	—	7	1	no	—
994	C₂×M₁₆	—	7	1	no	—
995	C₂×M₁₆	—	7	1	no	—
996	C₂×M₁₆	—	7	1	no	—
997	C₂×M₁₆	—	7	1	no	—
998	C₂×M₁₆	—	14	4	no	—
999	C₂×M₁₆	—	14	4	no	—
1000	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1001	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1002	C₂²×C₈	—	7	1	no	—
1003	C₂²×C₈	—	7	1	no	—
1004	C₂²×C₈	—	7	1	no	—
1005	C₂²×C₈	—	7	1	no	—
1006	C₄⋊Q₈	—	7	1	no	—
1007	C₄⋊Q₈	—	7	1	no	—
1008	#126	—	2	1	no	—
1009	#126	—	2	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	#125	—	2	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	7	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	—	7	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	—	14	1	no	—
1035	#125	—	14	1	no	—
1036	#125	—	14	1	no	—
1037	#125	—	14	1	no	—
1038	#125	—	14	1	no	—
1039	#125	C₂²×D₇	1	1	yes	characteristic
1040	#125	C₂²×D₇	1	1	yes	characteristic
1041	#124	—	14	1	no	—
1042	#124	—	14	1	no	—
1043	#124	—	14	1	no	—
1044	#123	—	2	1	no	—
1045	#123	—	2	1	no	—
1046	#123	—	14	1	no	—
1047	#123	—	14	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	#123	—	14	1	no	—
1058	#123	—	14	1	no	—
1059	#123	—	14	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	—	14	1	no	—
1069	C₂²⋊Q₈	—	14	1	no	—
1070	C₂²⋊Q₈	—	14	1	no	—
1071	C₂²⋊Q₈	—	14	1	no	—
1072	C₂²⋊Q₈	—	14	1	no	—
1073	C₂²⋊Q₈	—	14	1	no	—
1074	C₂²⋊Q₈	—	14	1	no	—
1075	C₂²⋊Q₈	—	14	1	no	—
1076	C₂²⋊Q₈	—	14	1	no	—
1077	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1078	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1079	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1080	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1081	#121	—	7	1	no	—
1082	#121	—	7	1	no	—
1083	#121	—	7	1	no	—
1084	#121	—	7	1	no	—
1085	#121	—	14	1	no	—
1086	#121	—	14	1	no	—
1087	#121	—	14	1	no	—
1088	#120	—	14	1	no	—
1089	#120	—	14	1	no	—
1090	C₄×Q₈	—	7	1	no	—
1091	C₄×Q₈	—	7	1	no	—
1092	C₄×Q₈	—	7	1	no	—
1093	C₄×Q₈	—	7	1	no	—
1094	C₄×Q₈	—	14	1	no	—
1095	C₄×Q₈	—	14	1	no	—
1096	C₄×Q₈	—	14	1	no	—
1097	C₄×Q₈	—	14	1	no	—
1098	C₄×Q₈	—	14	1	no	—
1099	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1100	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1101	C₄×D₄	—	7	1	no	—
1102	C₄×D₄	—	7	1	no	—
1103	C₄×D₄	—	7	1	no	—
1104	C₄×D₄	—	7	1	no	—
1105	C₄×D₄	—	7	1	no	—
1106	C₄×D₄	—	7	1	no	—
1107	C₄×D₄	—	7	1	no	—
1108	C₄×D₄	—	7	1	no	—
1109	C₄×D₄	—	7	1	no	—
1110	C₄×D₄	—	14	1	no	—
1111	C₄×D₄	—	14	1	no	—
1112	C₄×D₄	—	14	1	no	—
1113	C₄×D₄	—	14	1	no	—
1114	C₄×D₄	—	14	1	no	—
1115	C₄×D₄	—	14	1	no	—
1116	C₄×D₄	—	14	1	no	—
1117	C₄×D₄	—	14	1	no	—
1118	C₄×D₄	—	14	1	no	—
1119	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1120	#117	—	2	1	no	—
1121	#117	—	2	1	no	—
1122	#117	—	7	1	no	—
1123	#117	—	7	1	no	—
1124	#117	—	7	1	no	—
1125	#117	—	7	1	no	—
1126	#117	—	7	1	no	—
1127	#117	—	7	1	no	—
1128	#117	—	7	1	no	—
1129	#117	—	7	1	no	—
1130	#117	—	7	1	no	—
1131	#117	—	14	1	no	—
1132	#117	—	14	1	no	—
1133	#117	—	14	1	no	—
1134	#117	—	14	1	no	—
1135	#117	—	14	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	—	14	1	no	—
1144	#117	—	14	1	no	—
1145	#117	—	14	1	no	—
1146	#117	—	14	1	no	—
1147	#117	C₂²×D₇	1	1	yes	characteristic
1148	#117	C₂²×D₇	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	—	7	1	no	—
1150	C₂×C₄⋊C₄	—	7	1	no	—
1151	C₂×C₄⋊C₄	—	7	1	no	—
1152	C₂×C₄⋊C₄	—	7	1	no	—
1153	C₂×C₄⋊C₄	—	7	1	no	—
1154	C₂×C₄⋊C₄	—	7	1	no	—
1155	C₂×C₄⋊C₄	—	7	1	no	—
1156	C₂×C₄⋊C₄	—	7	1	no	—
1157	C₂×C₄⋊C₄	—	7	1	no	—
1158	C₂×C₄⋊C₄	—	7	1	no	—
1159	C₂×C₄⋊C₄	—	14	1	no	—
1160	C₂×C₄⋊C₄	—	14	1	no	—
1161	C₂×C₄⋊C₄	—	14	1	no	—
1162	C₂×C₄⋊C₄	—	14	1	no	—
1163	C₂×C₄⋊C₄	—	14	1	no	—
1164	C₂×C₄⋊C₄	—	14	1	no	—
1165	C₂×C₄⋊C₄	—	14	1	no	—
1166	C₂×C₄⋊C₄	—	14	1	no	—
1167	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1168	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	—	7	1	no	—
1170	C₂×C₂²⋊C₄	—	7	1	no	—
1171	C₂×C₂²⋊C₄	—	14	1	no	—
1172	C₂×C₂²⋊C₄	—	14	1	no	—
1173	C₂×C₂²⋊C₄	—	14	1	no	—
1174	C₂×C₂²⋊C₄	—	14	1	no	—
1175	C₂×C₂²⋊C₄	—	14	1	no	—
1176	C₂×C₄²	—	7	1	no	—
1177	C₂×C₄²	—	14	1	no	—
1178	C₂×C₄²	—	14	1	no	—
1179	C₂×C₄²	—	14	1	no	—
1180	C₂×C₄²	—	14	1	no	—
1181	C₂×C₄²	—	14	1	no	—
1182	#107	—	7	1	no	—
1183	#107	—	7	1	no	—
1184	#107	—	7	1	no	—
1185	#107	—	7	1	no	—
1186	#107	—	7	1	no	—
1187	#107	—	7	1	no	—
1188	#107	—	7	1	no	—
1189	#107	—	7	1	no	—
1190	#107	—	7	1	no	—
1191	#107	—	7	1	no	—
1192	#107	—	7	1	no	—
1193	#107	—	7	1	no	—
1194	#107	—	7	1	no	—
1195	#107	C₂²×D₇	1	1	yes	characteristic
1196	#107	C₂²×D₇	1	1	yes	characteristic
1197	#107	C₂²×D₇	1	1	yes	characteristic
1198	#107	C₂²×D₇	1	1	yes	characteristic
1199	#107	C₂²×D₇	1	1	yes	characteristic
1200	#106	—	7	1	no	—
1201	#106	—	7	1	no	—
1202	#106	—	7	1	no	—
1203	#106	—	7	1	no	—
1204	#106	—	7	1	no	—
1205	#106	—	7	1	no	—
1206	#106	—	7	1	no	—
1207	#106	—	7	1	no	—
1208	#106	—	7	1	no	—
1209	#106	—	7	1	no	—
1210	#106	—	7	1	no	—
1211	#106	—	7	1	no	—
1212	#106	—	7	1	no	—
1213	#106	—	7	1	no	—
1214	#106	C₂²×D₇	1	1	yes	characteristic
1215	#106	C₂²×D₇	1	1	yes	characteristic
1216	#106	C₂²×D₇	1	1	yes	characteristic
1217	#106	C₂²×D₇	1	1	yes	characteristic
1218	C₄⋊C₈	—	7	1	no	—
1219	C₄⋊C₈	—	7	1	no	—
1220	C₄⋊C₈	—	7	1	no	—
1221	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1222	#103	—	7	1	no	—
1223	#103	—	7	1	no	—
1224	#103	—	7	1	no	—
1225	#103	—	7	1	no	—
1226	#103	—	7	1	no	—
1227	#103	—	7	1	no	—
1228	#103	—	7	1	no	—
1229	#103	—	7	1	no	—
1230	#103	—	7	1	no	—
1231	#103	—	7	1	no	—
1232	#103	—	7	1	no	—
1233	#103	—	7	1	no	—
1234	#103	C₂²×D₇	1	1	yes	characteristic
1235	#103	C₂²×D₇	1	1	yes	characteristic
1236	#103	C₂²×D₇	1	1	yes	characteristic
1237	#103	C₂²×D₇	1	1	yes	characteristic
1238	#103	C₂²×D₇	1	1	yes	characteristic
1239	#103	C₂²×D₇	1	1	yes	characteristic
1240	#102	—	7	1	no	—
1241	#102	—	7	1	no	—
1242	#102	—	7	1	no	—
1243	#102	—	7	1	no	—
1244	#102	—	7	1	no	—
1245	#102	—	7	1	no	—
1246	C₂²⋊C₈	—	7	1	no	—
1247	C₂²⋊C₈	—	7	1	no	—
1248	C₂²⋊C₈	—	7	1	no	—
1249	C₂²⋊C₈	—	7	1	no	—
1250	C₂²⋊C₈	—	7	1	no	—
1251	C₂²⋊C₈	—	7	1	no	—
1252	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1253	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1254	#97	—	7	1	no	—
1255	#97	—	7	1	no	—
1256	C₄×C₈	—	7	1	no	—
1257	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1258	C₂²×C₇	—	2	1	no	—
1259	C₂²×C₇	—	2	1	no	—
1260	C₂²×C₇	—	2	1	no	—
1261	C₂²×C₇	—	2	1	no	—
1262	C₂²×C₇	—	2	1	no	—
1263	C₂²×C₇	—	2	1	no	—
1264	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1265	C₂×D₇	—	2	1	no	—
1266	C₂×D₇	—	2	1	no	—
1267	C₂×D₇	—	2	1	no	—
1268	C₂×D₇	—	2	1	no	—
1269	C₂×D₇	—	2	1	no	—
1270	C₂×D₇	—	2	1	no	—
1271	C₂×D₇	—	2	1	no	—
1272	C₂×D₇	—	4	4	no	—
1273	C₂×D₇	—	4	1	no	—
1274	C₂×D₇	—	4	1	no	—
1275	C₂×D₇	—	4	1	no	—
1276	C₂×D₇	—	8	2	no	—
1277	C₂×D₇	#547	1	2	yes	—
1278	C₂×D₇	#575	1	2	yes	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	2	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	—	4	1	no	—
1289	C₄×C₇	—	4	1	no	—
1290	C₄×C₇	—	4	1	no	—
1291	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1292	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1293	Dic₇	—	2	1	no	—
1294	Dic₇	—	2	1	no	—
1295	Dic₇	—	2	1	no	—
1296	Dic₇	—	2	1	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	Dic₇	—	4	1	no	—
1301	Dic₇	—	4	1	no	—
1302	Dic₇	—	4	1	no	—
1303	Dic₇	—	4	1	no	—
1304	Dic₇	#547	1	2	yes	—
1305	C₂⁴	—	7	1	no	—
1306	C₂⁴	—	7	1	no	—
1307	#41	—	14	2	no	—
1308	#41	—	14	2	no	—
1309	#41	—	28	4	no	—
1310	C₂×Q₈	—	7	1	no	—
1311	C₂×Q₈	—	14	1	no	—
1312	C₂×Q₈	—	14	1	no	—
1313	C₂×Q₈	—	14	1	no	—
1314	C₂×Q₈	—	14	2	no	—
1315	C₂×Q₈	—	14	2	no	—
1316	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1317	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1318	C₂×D₄	—	7	1	no	—
1319	C₂×D₄	—	7	1	no	—
1320	C₂×D₄	—	7	1	no	—
1321	C₂×D₄	—	7	1	no	—
1322	C₂×D₄	—	14	1	no	—
1323	C₂×D₄	—	14	1	no	—
1324	C₂×D₄	—	14	1	no	—
1325	C₂×D₄	—	14	1	no	—
1326	C₂×D₄	—	14	1	no	—
1327	C₂×D₄	—	28	2	no	—
1328	C₂×D₄	D₄×D₇	1	1	yes	characteristic
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	7	1	no	—
1332	C₂²×C₄	—	7	1	no	—
1333	C₂²×C₄	—	7	1	no	—
1334	C₂²×C₄	—	7	1	no	—
1335	C₂²×C₄	—	7	1	no	—
1336	C₂²×C₄	—	7	1	no	—
1337	C₂²×C₄	—	7	1	no	—
1338	C₂²×C₄	—	7	1	no	—
1339	C₂²×C₄	—	7	1	no	—
1340	C₂²×C₄	—	7	1	no	—
1341	C₂²×C₄	—	7	1	no	—
1342	C₂²×C₄	—	14	2	no	—
1343	C₂²×C₄	—	14	2	no	—
1344	C₂²×C₄	—	14	2	no	—
1345	C₂²×C₄	—	14	2	no	—
1346	C₂²×C₄	—	14	1	no	—
1347	C₂²×C₄	—	14	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	—	28	4	no	—
1360	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1361	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1362	Q₁₆	—	2	2	no	—
1363	Q₁₆	—	14	2	no	—
1364	SD₁₆	—	14	2	no	—
1365	SD₁₆	—	14	2	no	—
1366	M₁₆	—	2	2	no	—
1367	M₁₆	—	2	2	no	—
1368	M₁₆	—	7	4	no	—
1369	M₁₆	—	14	2	no	—
1370	M₁₆	—	14	2	no	—
1371	M₁₆	—	14	2	no	—
1372	M₁₆	—	14	2	no	—
1373	M₁₆	—	14	2	no	—
1374	C₂×C₈	—	7	1	no	—
1375	C₂×C₈	—	7	1	no	—
1376	C₂×C₈	—	7	1	no	—
1377	C₂×C₈	—	7	1	no	—
1378	C₂×C₈	—	14	2	no	—
1379	C₂×C₈	—	14	2	no	—
1380	C₂×C₈	—	14	2	no	—
1381	C₂×C₈	—	14	2	no	—
1382	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1383	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1384	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1385	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
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	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	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	—	7	1	no	—
1405	C₄⋊C₄	—	7	1	no	—
1406	C₄⋊C₄	—	7	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	—	14	1	no	—
1425	C₄⋊C₄	—	14	1	no	—
1426	C₄⋊C₄	—	14	1	no	—
1427	C₄⋊C₄	—	14	1	no	—
1428	C₄⋊C₄	—	14	1	no	—
1429	C₄⋊C₄	—	14	1	no	—
1430	C₄⋊C₄	—	14	1	no	—
1431	C₄⋊C₄	—	14	1	no	—
1432	C₄⋊C₄	—	14	1	no	—
1433	C₄⋊C₄	—	14	1	no	—
1434	C₄⋊C₄	—	14	1	no	—
1435	C₄⋊C₄	—	14	1	no	—
1436	C₄⋊C₄	—	14	1	no	—
1437	C₄⋊C₄	—	14	1	no	—
1438	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1439	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1440	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1441	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1442	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1443	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1444	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	7	1	no	—
1452	C₂²⋊C₄	—	7	1	no	—
1453	C₂²⋊C₄	—	7	1	no	—
1454	C₂²⋊C₄	—	7	1	no	—
1455	C₂²⋊C₄	—	7	1	no	—
1456	C₂²⋊C₄	—	7	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	C₂²⋊C₄	—	14	1	no	—
1478	C₂²⋊C₄	—	14	1	no	—
1479	C₂²⋊C₄	—	14	1	no	—
1480	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1481	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	7	1	no	—
1487	C₄²	—	7	1	no	—
1488	C₄²	—	7	1	no	—
1489	C₄²	—	14	1	no	—
1490	C₄²	—	14	1	no	—
1491	C₄²	—	14	1	no	—
1492	C₄²	—	14	1	no	—
1493	C₄²	—	14	1	no	—
1494	C₄²	—	14	1	no	—
1495	C₄²	—	14	1	no	—
1496	C₄²	—	14	1	no	—
1497	C₄²	—	14	1	no	—
1498	C₄²	—	14	1	no	—
1499	C₄²	—	14	1	no	—
1500	C₄²	—	14	1	no	—
1501	C₄²	—	14	1	no	—
1502	C₄²	C₂³×D₇	1	1	yes	characteristic
1503	C₂×C₇	—	4	1	no	—
1504	C₂×C₇	—	4	1	no	—
1505	C₂×C₇	C₂×#547	1	1	yes	characteristic
1506	C₂×C₇	C₂×#575	1	1	yes	characteristic
1507	C₂×C₇	#3586	1	1	yes	characteristic
1508	D₇	—	2	2	no	—
1509	D₇	—	2	2	no	—
1510	D₇	—	4	1	no	—
1511	D₇	—	8	1	no	—
1512	C₂³	—	7	1	no	—
1513	C₂³	—	7	1	no	—
1514	C₂³	—	7	1	no	—
1515	C₂³	—	14	2	no	—
1516	C₂³	—	14	2	no	—
1517	C₂³	—	14	2	no	—
1518	C₂³	—	14	1	no	—
1519	C₂³	—	28	1	no	—
1520	C₂³	—	28	1	no	—
1521	C₂³	—	28	1	no	—
1522	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1523	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	14	1	no	—
1529	Q₈	—	14	1	no	—
1530	Q₈	—	28	2	no	—
1531	Q₈	—	28	2	no	—
1532	Q₈	—	56	1	no	—
1533	D₄	—	4	1	no	—
1534	D₄	—	14	2	no	—
1535	D₄	—	14	2	no	—
1536	D₄	—	14	1	no	—
1537	D₄	—	14	1	no	—
1538	D₄	—	28	2	no	—
1539	D₄	—	28	2	no	—
1540	D₄	—	28	1	no	—
1541	D₄	—	28	2	no	—
1542	D₄	—	56	1	no	—
1543	D₄	—	56	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	4	2	no	—
1557	C₂×C₄	—	4	2	no	—
1558	C₂×C₄	—	7	1	no	—
1559	C₂×C₄	—	7	2	no	—
1560	C₂×C₄	—	7	2	no	—
1561	C₂×C₄	—	7	1	no	—
1562	C₂×C₄	—	7	1	no	—
1563	C₂×C₄	—	7	1	no	—
1564	C₂×C₄	—	7	1	no	—
1565	C₂×C₄	—	14	2	no	—
1566	C₂×C₄	—	14	2	no	—
1567	C₂×C₄	—	14	2	no	—
1568	C₂×C₄	—	14	2	no	—
1569	C₂×C₄	—	14	2	no	—
1570	C₂×C₄	—	14	2	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	—	14	1	no	—
1579	C₂×C₄	—	14	1	no	—
1580	C₂×C₄	—	14	1	no	—
1581	C₂×C₄	—	14	1	no	—
1582	C₂×C₄	—	28	1	no	—
1583	C₂×C₄	—	28	1	no	—
1584	C₂×C₄	—	28	2	no	—
1585	C₂×C₄	—	28	2	no	—
1586	C₂×C₄	—	28	2	no	—
1587	C₂×C₄	—	28	2	no	—
1588	C₂×C₄	—	28	2	no	—
1589	C₂×C₄	—	28	2	no	—
1590	C₂×C₄	—	28	2	no	—
1591	C₂×C₄	—	28	2	no	—
1592	C₂×C₄	—	28	2	no	—
1593	C₂×C₄	—	28	2	no	—
1594	C₂×C₄	—	56	1	no	—
1595	C₂×C₄	—	56	1	no	—
1596	C₂×C₄	—	56	1	no	—
1597	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1598	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1599	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1600	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1601	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	7	2	no	—
1606	C₈	—	14	1	no	—
1607	C₈	—	14	1	no	—
1608	C₈	—	14	1	no	—
1609	C₈	D₇×#41	1	2	yes	—
1610	C₇	#61253	1	1	yes	characteristic, complemented, Sylow
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	7	2	no	—
1618	C₂²	—	7	2	no	—
1619	C₂²	—	14	1	no	—
1620	C₂²	—	14	1	no	—
1621	C₂²	—	14	1	no	—
1622	C₂²	—	14	1	no	—
1623	C₂²	—	14	1	no	—
1624	C₂²	—	14	1	no	—
1625	C₂²	—	14	1	no	—
1626	C₂²	—	28	4	no	—
1627	C₂²	—	28	1	no	—
1628	C₂²	—	28	1	no	—
1629	C₂²	—	28	1	no	—
1630	C₂²	—	56	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	—	4	1	no	—
1637	C₄	—	4	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	—	7	2	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	—	28	1	no	—
1656	C₄	C₂×D₇×#41	1	1	yes	characteristic
1657	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1658	C₂	—	4	1	no	—
1659	C₂	—	4	1	no	—
1660	C₂	—	14	2	no	—
1661	C₂	—	14	2	no	—
1662	C₂	—	28	1	no	—
1663	C₂	—	56	1	no	—
1664	C₂	D₇×#547	1	1	yes	characteristic
1665	C₂	D₇×#575	1	1	yes	characteristic
1666	C₂	#11744279	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×#3352	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743895	C₂
hypercenter	#3352	D₇
hypocenter	C₇	#61253
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3352

Complements

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

N	H ≅ G/N	type
1. D₇×#552	C₂	semidirect
3. C₇×#3352	C₂	semidirect
4. #11741042	C₂	semidirect
5. #11741041	C₂	semidirect
6. #11739370	C₂	semidirect
7. #11739364	C₂	semidirect
8. #11738982	C₂	semidirect
9. #11738979	C₂	semidirect
10. #11738962	C₂	semidirect
11. #11738961	C₂	semidirect
12. #11738924	C₂	semidirect
13. #11738922	C₂	semidirect
14. #11738914	C₂	semidirect
15. #11738913	C₂	semidirect
16. #11738699	C₂	semidirect
17. #11738698	C₂	semidirect
18. #11738676	C₂	semidirect
19. #11738675	C₂	semidirect
20. #11738365	C₂	semidirect
21. #11738364	C₂	semidirect
22. #11738349	C₂	semidirect
23. #11738349	C₂	semidirect
24. #11737186	C₂	semidirect
25. C₄×#6481	C₂	semidirect
26. #11736985	C₂	semidirect
27. #11736974	C₂	semidirect
28. #11736673	C₂	semidirect
29. #11736668	C₂	semidirect
30. #11736653	C₂	semidirect
31. D₇×#428	C₂	semidirect
80. C₇×#499	C₂²	semidirect
81. C₇×#485	C₂²	semidirect
82. C₇×#485	C₂²	semidirect
83. C₇×#484	C₂²	semidirect
84. C₇×#484	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#479	C₂²	semidirect
87. C₇×#470	C₂²	semidirect
88. C₇×#470	C₂²	semidirect
89. C₄×C₇×Q₁₆	C₂²	semidirect
91. C₇×#428	C₂²	semidirect
92. C₇×#428	C₂²	semidirect
93. #89960	C₂²	semidirect
94. #89960	C₂²	semidirect
95. #89956	C₂²	semidirect
96. #89906	C₂²	semidirect
97. #89906	C₂²	semidirect
100. #89893	C₂²	semidirect
101. #89893	C₂²	semidirect
102. #89838	C₂²	semidirect
103. #89836	C₂²	semidirect
104. #89836	C₂²	semidirect
105. #89835	C₂²	semidirect
106. #89824	C₂²	semidirect
107. #89824	C₂²	semidirect
108. #89821	C₂²	semidirect
109. #89821	C₂²	semidirect
110. #89817	C₂²	semidirect
111. #89817	C₂²	semidirect
112. #89816	C₂²	semidirect
113. #89815	C₂²	semidirect
114. C₄×#1144	C₂²	semidirect
115. C₄×#1143	C₂²	semidirect
116. #89794	C₂²	semidirect
117. #89794	C₂²	semidirect
119. #89775	C₂²	semidirect
120. #89768	C₂²	semidirect
121. #89767	C₂²	semidirect
122. #89767	C₂²	semidirect
123. #89742	C₂²	semidirect
124. #89740	C₂²	semidirect
125. #89736	C₂²	semidirect
126. #89736	C₂²	semidirect
127. #89663	C₂²	semidirect
128. #89661	C₂²	semidirect
129. #89660	C₂²	semidirect
130. #89660	C₂²	semidirect
131. #89657	C₂²	semidirect
132. #89656	C₂²	semidirect
133. #89654	C₂²	semidirect
134. #89654	C₂²	semidirect
140. #89652	C₂²	semidirect
141. #89652	C₂²	semidirect
142. D₇×#107	C₂²	semidirect
143. D₇×#107	C₂²	semidirect
144. #89648	C₂²	semidirect
145. #89648	C₂²	semidirect
146. #89647	C₂²	semidirect
147. #89643	C₂²	semidirect
148. #89638	C₂²	semidirect
149. #89636	C₂²	semidirect
150. #89636	C₂²	semidirect
151. #89634	C₂²	semidirect
156. #89632	C₂²	semidirect
157. #89632	C₂²	semidirect
158. D₇×#106	C₂²	semidirect
159. D₇×#106	C₂²	semidirect
160. #89628	C₂²	semidirect
161. #89628	C₂²	semidirect
162. #89626	C₂²	semidirect
163. #89619	C₂²	semidirect
166. #89601	C₂²	semidirect
167. #89589	C₂²	semidirect
168. #89587	C₂²	semidirect
169. #89587	C₂²	semidirect
170. #89587	C₂²	semidirect
171. #89586	C₂²	semidirect
172. #89585	C₂²	semidirect
173. #89585	C₂²	semidirect
174. #89581	C₂²	semidirect
175. #89579	C₂²	semidirect
176. #89579	C₂²	semidirect
177. #89577	C₂²	semidirect
178. #89577	C₂²	semidirect
179. #89577	C₂²	semidirect
186. #89571	C₂²	semidirect
187. #89568	C₂²	semidirect
188. #89566	C₂²	semidirect
189. #89563	C₂²	semidirect
190. #89561	C₂²	semidirect
191. #89509	C₂²	semidirect
192. #89507	C₂²	semidirect
197. #89495	C₂²	semidirect
198. #89493	C₂²	semidirect
199. C₄×#1132	C₂²	semidirect
202. #89455	C₂²	semidirect
485. #3352	D₇	semidirect
706. #1131	#41	semidirect
766. #499	C₂×D₇	semidirect
777. #485	C₂×D₇	semidirect
778. #485	C₂×D₇	semidirect
783. #484	C₂×D₇	semidirect
784. #484	C₂×D₇	semidirect
805. #479	C₂×D₇	semidirect
806. #479	C₂×D₇	semidirect
817. #470	C₂×D₇	semidirect
818. #470	C₂×D₇	semidirect
836. C₄×Q₁₆	C₂×D₇	semidirect
862. #428	C₂×D₇	semidirect
863. #428	C₂×D₇	semidirect
1610. C₇	#61253	semidirect

Maximal subgroups

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

subgroup	index
D₇×#552	2
#11743895	2
C₇×#3352	2
#11741042	2
#11741041	2
#11739370	2
#11739364	2
#11738982	2
#11738979	2
#11738962	2
#11738961	2
#11738924	2
#11738922	2
#11738914	2
#11738913	2
#11738699	2
#11738698	2
#11738676	2
#11738675	2
#11738365	2
#11738364	2
#11738349	2
#11737186	2
C₄×#6481	2
#11736985	2
#11736974	2
#11736673	2
#11736668	2
#11736653	2
D₇×#428	2
#61253	7