Subgroups — #14233860

Order 1792.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11744087	C₂	1	1	yes	maximal, characteristic, complemented
2	#11744052	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3377	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741142	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741112	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739183	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739179	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739125	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739121	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739105	C₂	1	1	yes	maximal, characteristic, complemented
11	D₇×#488	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738676	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738660	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738614	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738595	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738579	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738555	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738047	C₂	1	1	yes	maximal, characteristic
19	#11738044	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738026	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738025	C₂	1	1	yes	maximal, characteristic, complemented
22	#11737924	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737908	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737416	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737403	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737275	C₂	1	1	yes	maximal, characteristic, complemented
27	#11737261	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737220	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737199	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#6482	C₂	1	1	yes	maximal, characteristic, complemented
31	#11737149	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#557	C₂²	1	1	yes	characteristic, complemented
33	C₇×#556	C₂²	1	1	yes	characteristic
34	C₂×#6482	C₂²	1	1	yes	characteristic
35	C₂×#6481	C₂²	1	1	yes	characteristic
36	C₂×#6477	C₂²	1	1	yes	characteristic
37	#90423	C₂²	1	1	yes	characteristic
38	#90421	—	2	1	no	—
39	#90421	C₂²	1	1	yes	characteristic, complemented
40	#90420	—	2	1	no	—
41	#90420	C₂²	1	1	yes	characteristic
42	#90415	C₂²	1	1	yes	characteristic
43	#90401	—	2	1	no	—
44	#90397	—	2	1	no	—
45	#90396	—	2	1	no	—
46	#90396	—	2	1	no	—
47	#90381	—	2	1	no	—
48	#90381	—	2	1	no	—
49	#90381	C₂²	1	1	yes	characteristic, complemented
50	#90381	C₂²	1	1	yes	characteristic, complemented
51	#90380	—	2	1	no	—
52	#90380	C₂²	1	1	yes	characteristic
53	D₇×#125	—	2	1	no	—
54	D₇×#125	C₂²	1	1	yes	characteristic
55	#90372	C₂²	1	1	yes	characteristic
56	#90365	C₂²	1	1	yes	characteristic
57	D₇×#124	C₂²	1	1	yes	characteristic
58	#90362	C₂²	1	1	yes	characteristic
59	#90331	—	2	1	no	—
60	#90328	—	2	1	no	—
61	#90276	C₂²	1	1	yes	characteristic
62	#90276	C₂²	1	1	yes	characteristic
63	#90270	—	2	1	no	—
64	#90270	C₂²	1	1	yes	characteristic, complemented
65	#90269	—	2	1	no	—
66	#90269	C₂²	1	1	yes	characteristic
67	#90265	C₂²	1	1	yes	characteristic
68	#90265	C₂²	1	1	yes	characteristic
69	C₄×#1161	C₂²	1	1	yes	characteristic
70	C₄×#1161	C₂²	1	1	yes	characteristic
71	#90263	C₂²	1	1	yes	characteristic
72	#90261	C₂²	1	1	yes	characteristic, complemented
73	#90260	C₂²	1	1	yes	characteristic, complemented
74	#90260	C₂²	1	1	yes	characteristic, complemented
75	#90259	C₂²	1	1	yes	characteristic
76	#90250	C₂²	1	1	yes	characteristic
77	#90236	C₂²	1	1	yes	characteristic
78	#90219	—	2	1	no	—
79	#90218	—	2	1	no	—
80	C₇×#491	C₂²	1	1	yes	characteristic, complemented
81	C₇×#489	C₂²	1	1	yes	characteristic
82	C₇×#488	C₂²	1	1	yes	characteristic
83	C₇×#479	C₂²	1	1	yes	characteristic, complemented
84	C₇×#478	C₂²	1	1	yes	characteristic
85	C₇×#477	C₂²	1	1	yes	characteristic, complemented
86	C₇×#464	C₂²	1	1	yes	characteristic
87	C₇×#464	C₂²	1	1	yes	characteristic
88	C₇×#462	C₂²	1	1	yes	characteristic, complemented
89	C₇×#446	C₂²	1	1	yes	characteristic, complemented
90	C₇×#441	C₂²	1	1	yes	characteristic, complemented
91	C₇×#440	C₂²	1	1	yes	characteristic
92	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	#89957	C₂²	1	1	yes	characteristic
94	#89957	C₂²	1	1	yes	characteristic
95	#89957	C₂²	1	1	yes	characteristic, complemented
96	Q₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
97	Q₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
98	#89954	C₂²	1	1	yes	characteristic, complemented
99	#89938	C₂²	1	1	yes	characteristic
100	#89935	C₂²	1	1	yes	characteristic
101	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic
102	#89866	C₂²	1	1	yes	characteristic, complemented
103	#89860	C₂²	1	1	yes	characteristic
104	#89855	C₂²	1	1	yes	characteristic, complemented
105	#89853	C₂²	1	1	yes	characteristic, complemented
106	#89840	C₂²	1	1	yes	characteristic
107	#89840	C₂²	1	1	yes	characteristic, complemented
108	#89838	C₂²	1	1	yes	characteristic
109	#89838	C₂²	1	1	yes	characteristic, complemented
110	#89829	C₂²	1	1	yes	characteristic
111	#89829	C₂²	1	1	yes	characteristic
112	#89828	C₂²	1	1	yes	characteristic
113	#89828	C₂²	1	1	yes	characteristic
114	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
115	#89800	C₂²	1	1	yes	characteristic
116	#89800	C₂²	1	1	yes	characteristic, complemented
117	#89799	C₂²	1	1	yes	characteristic
118	C₄×#1143	C₂²	1	1	yes	characteristic
119	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
120	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
121	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
122	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
123	#89794	C₂²	1	1	yes	characteristic, complemented
124	#89794	C₂²	1	1	yes	characteristic, complemented
125	C₄×#1141	C₂²	1	1	yes	characteristic
126	#89780	C₂²	1	1	yes	characteristic
127	#89663	C₂²	1	1	yes	characteristic
128	#89663	C₂²	1	1	yes	characteristic, complemented
129	#89653	C₂²	1	1	yes	characteristic
130	#89652	C₂²	1	1	yes	characteristic
131	#89649	C₂²	1	1	yes	characteristic, complemented
132	#89647	C₂²	1	1	yes	characteristic, complemented
133	#89644	C₂²	1	1	yes	characteristic
134	#89644	C₂²	1	1	yes	characteristic, complemented
135	#89643	C₂²	1	1	yes	characteristic, complemented
136	#89642	C₂²	1	1	yes	characteristic
137	#89633	C₂²	1	1	yes	characteristic
138	#89624	C₂²	1	1	yes	characteristic, complemented
139	#89619	C₂²	1	1	yes	characteristic, complemented
140	#89618	C₂²	1	1	yes	characteristic
141	#89616	C₂²	1	1	yes	characteristic
142	#89616	C₂²	1	1	yes	characteristic, complemented
143	#89615	C₂²	1	1	yes	characteristic
144	#89611	C₂²	1	1	yes	characteristic
145	#89611	C₂²	1	1	yes	characteristic
146	#89609	C₂²	1	1	yes	characteristic
147	#89602	C₂²	1	1	yes	characteristic, complemented
148	#89602	C₂²	1	1	yes	characteristic, complemented
149	#89602	C₂²	1	1	yes	characteristic, complemented
150	#89601	C₂²	1	1	yes	characteristic, complemented
151	#89591	C₂²	1	1	yes	characteristic
152	#89591	C₂²	1	1	yes	characteristic
153	#89591	C₂²	1	1	yes	characteristic, complemented
154	#89590	C₂²	1	1	yes	characteristic, complemented
155	#89589	C₂²	1	1	yes	characteristic
156	#89589	C₂²	1	1	yes	characteristic, complemented
157	#89576	C₂²	1	1	yes	characteristic
158	#89576	C₂²	1	1	yes	characteristic
159	#89575	C₂²	1	1	yes	characteristic
160	#89575	C₂²	1	1	yes	characteristic
161	#89574	C₂²	1	1	yes	characteristic
162	D₇×#103	C₂²	1	1	yes	characteristic
163	D₇×#103	C₂²	1	1	yes	characteristic
164	#89572	C₂²	1	1	yes	characteristic
165	#89572	C₂²	1	1	yes	characteristic
166	#89572	C₂²	1	1	yes	characteristic
167	#89572	C₂²	1	1	yes	characteristic, complemented
168	#89571	C₂²	1	1	yes	characteristic, complemented
169	#89569	C₂²	1	1	yes	characteristic, complemented
170	#89568	C₂²	1	1	yes	characteristic, complemented
171	#89568	C₂²	1	1	yes	characteristic, complemented
172	#89567	C₂²	1	1	yes	characteristic
173	#89567	C₂²	1	1	yes	characteristic, complemented
174	#89564	C₂²	1	1	yes	characteristic, complemented
175	#89563	C₂²	1	1	yes	characteristic, complemented
176	#89561	C₂²	1	1	yes	characteristic, complemented
177	#89560	C₂²	1	1	yes	characteristic, complemented
178	#89560	C₂²	1	1	yes	characteristic, complemented
179	#89559	C₂²	1	1	yes	characteristic
180	#89558	C₂²	1	1	yes	characteristic
181	#89557	C₂²	1	1	yes	characteristic
182	#89542	C₂²	1	1	yes	characteristic
183	D₇×#102	C₂²	1	1	yes	characteristic
184	D₇×#102	C₂²	1	1	yes	characteristic
185	#89540	C₂²	1	1	yes	characteristic
186	#89540	C₂²	1	1	yes	characteristic
187	#89538	C₂²	1	1	yes	characteristic
188	#89536	C₂²	1	1	yes	characteristic
189	#89532	C₂²	1	1	yes	characteristic
190	#89531	C₂²	1	1	yes	characteristic
191	#89486	C₂²	1	1	yes	characteristic, complemented
192	#89485	C₂²	1	1	yes	characteristic
193	#89483	C₂²	1	1	yes	characteristic
194	#89482	C₂²	1	1	yes	characteristic, complemented
195	#89480	C₂²	1	1	yes	characteristic
196	#89480	C₂²	1	1	yes	characteristic
197	#89473	C₂²	1	1	yes	characteristic, complemented
198	#89473	C₂²	1	1	yes	characteristic, complemented
199	#89469	C₂²	1	1	yes	characteristic
200	C₄×D₅₆	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
202	#89451	C₂²	1	1	yes	characteristic, complemented
203	#61331	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×#1161	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
208	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
211	C₇×C₄⋊Q₈	—	2	1	no	—
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	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×#124	C₂³	1	1	yes	characteristic
221	C₇×#124	C₂³	1	1	yes	characteristic
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₄×C₇×Q₈	—	2	1	no	—
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×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×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
231	C₇×#117	—	2	1	no	—
232	#6510	—	2	1	no	—
233	#6510	C₂³	1	1	yes	characteristic
234	#6510	C₂³	1	1	yes	characteristic
235	#6510	C₂³	1	1	yes	characteristic
236	#6509	—	2	1	no	—
237	#6509	—	2	1	no	—
238	#6509	—	2	1	no	—
239	#6509	—	2	1	no	—
240	#6509	D₄	1	1	yes	characteristic
241	Q₈×Dic₇	C₂³	1	1	yes	characteristic
242	Q₈×Dic₇	C₂³	1	1	yes	characteristic
243	Q₈×Dic₇	C₂³	1	1	yes	characteristic
244	Q₈×Dic₇	C₂³	1	1	yes	characteristic
245	Q₈×Dic₇	C₂³	1	1	yes	characteristic
246	#6507	—	2	1	no	—
247	#6507	D₄	1	1	yes	characteristic
248	#6507	C₂³	1	1	yes	characteristic
249	C₂×#1144	C₂³	1	1	yes	characteristic
250	C₂×#1143	C₂³	1	1	yes	characteristic
251	C₂×#1143	C₂³	1	1	yes	characteristic
252	C₂×#1143	C₂³	1	1	yes	characteristic
253	C₂×#1143	C₂³	1	1	yes	characteristic
254	#6503	C₂³	1	1	yes	characteristic
255	#6499	C₂³	1	1	yes	characteristic
256	D₄×Dic₇	C₂³	1	1	yes	characteristic
257	C₂×#1141	C₂³	1	1	yes	characteristic
258	#6492	—	2	1	no	—
259	C₄×C₂²⋊D₇	—	2	1	no	—
260	C₄×C₂²⋊D₇	—	2	1	no	—
261	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
262	#6482	—	2	4	no	—
263	#6481	—	2	4	no	—
264	#6477	—	2	4	no	—
265	C₂×D₅₆	C₂³	1	1	yes	characteristic
266	C₂×D₅₆	C₂³	1	1	yes	characteristic
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×C₈×D₇	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
272	#6461	—	2	1	no	—
273	#6461	—	2	1	no	—
274	#6461	—	2	1	no	—
275	#6460	—	2	1	no	—
276	#6460	—	2	1	no	—
277	#6460	—	2	1	no	—
278	#6460	—	2	1	no	—
279	#6460	—	2	1	no	—
280	#6460	D₄	1	1	yes	characteristic
281	#6459	—	2	1	no	—
282	#6459	—	2	1	no	—
283	#6459	—	2	1	no	—
284	#6459	—	2	1	no	—
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	#6459	—	2	1	no	—
291	#6459	—	2	1	no	—
292	#6459	D₄	1	1	yes	characteristic
293	#6459	D₄	1	1	yes	characteristic
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	—	2	1	no	—
305	#6456	C₂³	1	1	yes	characteristic
306	#6456	C₂³	1	1	yes	characteristic
307	#6456	C₂³	1	1	yes	characteristic
308	#6456	C₂³	1	1	yes	characteristic
309	#6456	C₂³	1	1	yes	characteristic
310	#6455	—	2	1	no	—
311	#6455	—	2	1	no	—
312	#6455	—	2	1	no	—
313	#6455	—	2	1	no	—
314	#6455	C₂³	1	1	yes	characteristic
315	#6455	C₂³	1	1	yes	characteristic
316	D₇×C₄⋊C₄	—	2	1	no	—
317	D₇×C₄⋊C₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
325	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	#6453	—	2	1	no	—
327	#6453	—	2	1	no	—
328	#6453	—	2	1	no	—
329	#6453	—	2	1	no	—
330	#6453	C₂³	1	1	yes	characteristic
331	#6453	C₂³	1	1	yes	characteristic
332	#6453	C₂³	1	1	yes	characteristic
333	#6453	C₂³	1	1	yes	characteristic
334	#6452	—	2	1	no	—
335	#6452	—	2	1	no	—
336	#6452	—	2	1	no	—
337	#6452	—	2	1	no	—
338	#6452	D₄	1	1	yes	characteristic
339	#6452	D₄	1	1	yes	characteristic
340	#6451	—	2	1	no	—
341	#6451	—	2	1	no	—
342	#6451	—	2	1	no	—
343	#6451	D₄	1	1	yes	characteristic
344	#6451	C₂³	1	1	yes	characteristic
345	#6451	C₂³	1	1	yes	characteristic
346	#6450	—	2	1	no	—
347	#6450	C₂³	1	1	yes	characteristic
348	#6449	—	2	1	no	—
349	#6448	—	2	1	no	—
350	#6448	—	2	1	no	—
351	#6448	—	2	1	no	—
352	#6448	—	2	1	no	—
353	#6447	—	2	1	no	—
354	#6447	—	2	1	no	—
355	#6446	—	2	1	no	—
356	#6446	—	2	1	no	—
357	#6445	—	2	1	no	—
358	#6445	—	2	1	no	—
359	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
360	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
361	D₇×C₂²⋊C₄	—	2	1	no	—
362	D₇×C₂²⋊C₄	—	2	1	no	—
363	D₇×C₂²⋊C₄	—	2	1	no	—
364	#6442	—	2	1	no	—
365	#6442	—	2	1	no	—
366	#6441	—	2	1	no	—
367	#6440	—	2	1	no	—
368	#6439	—	2	1	no	—
369	#6438	—	2	1	no	—
370	#6438	C₂³	1	1	yes	characteristic
371	#6438	C₂³	1	1	yes	characteristic
372	#6437	C₂³	1	1	yes	characteristic
373	C₄×D₂₈	—	2	1	no	—
374	C₄×D₂₈	—	2	1	no	—
375	C₄×D₂₈	—	2	1	no	—
376	C₄×D₂₈	—	2	1	no	—
377	C₄×D₂₈	—	2	1	no	—
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	C₄×D₂₈	C₂³	1	1	yes	characteristic
380	C₄×D₂₈	C₂³	1	1	yes	characteristic
381	C₄×D₂₈	C₂³	1	1	yes	characteristic
382	C₄×D₂₈	C₂³	1	1	yes	characteristic
383	#6435	—	2	1	no	—
384	#6435	—	2	1	no	—
385	#6435	—	2	1	no	—
386	#6435	—	2	1	no	—
387	#6435	C₂³	1	1	yes	characteristic
388	#6435	C₂³	1	1	yes	characteristic
389	C₄²×D₇	—	2	1	no	—
390	C₄²×D₇	—	2	1	no	—
391	C₄²×D₇	C₂³	1	1	yes	characteristic
392	#6433	—	2	1	no	—
393	#6433	—	2	1	no	—
394	#6433	C₂³	1	1	yes	characteristic
395	#6433	C₂³	1	1	yes	characteristic
396	#6432	—	2	1	no	—
397	#6432	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₄	—	2	1	no	—
399	C₄×Dic₁₄	—	2	1	no	—
400	C₄×Dic₁₄	—	2	1	no	—
401	C₄×Dic₁₄	—	2	1	no	—
402	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
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×#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×C₄⋊C₈	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×#103	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×#102	C₂³	1	1	yes	characteristic
420	C₇×#102	C₂³	1	1	yes	characteristic
421	C₇×#102	C₂³	1	1	yes	characteristic
422	C₇×#97	C₂³	1	1	yes	characteristic
423	C₇×#97	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	#6409	C₂³	1	1	yes	characteristic
432	#6406	C₂³	1	1	yes	characteristic
433	#6406	C₂³	1	1	yes	characteristic
434	#6406	C₂³	1	1	yes	characteristic
435	#6395	C₂³	1	1	yes	characteristic
436	#6395	C₂³	1	1	yes	characteristic
437	#6395	C₂³	1	1	yes	characteristic
438	#6395	C₂³	1	1	yes	characteristic
439	#6395	C₂³	1	1	yes	characteristic
440	#6395	C₂³	1	1	yes	characteristic
441	#6395	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	#6390	C₂³	1	1	yes	characteristic
446	#6390	C₂³	1	1	yes	characteristic
447	#6390	C₂³	1	1	yes	characteristic
448	#6389	C₂³	1	1	yes	characteristic
449	#6389	C₂³	1	1	yes	characteristic
450	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
451	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
453	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
456	C₈×Dic₇	C₂³	1	1	yes	characteristic
457	C₈×Dic₇	C₂³	1	1	yes	characteristic
458	C₈×Dic₇	C₂³	1	1	yes	characteristic
459	C₈×Dic₇	C₂³	1	1	yes	characteristic
460	#6384	C₂³	1	1	yes	characteristic
461	#6384	C₂³	1	1	yes	characteristic
462	#6384	C₂³	1	1	yes	characteristic
463	#6383	C₂³	1	1	yes	characteristic
464	#6383	C₂³	1	1	yes	characteristic
465	#6383	C₂³	1	1	yes	characteristic
466	#6383	C₂³	1	1	yes	characteristic
467	#6383	C₂³	1	1	yes	characteristic
468	#6383	C₂³	1	1	yes	characteristic
469	#6383	C₂³	1	1	yes	characteristic
470	#6382	C₂³	1	1	yes	characteristic
471	#6382	C₂³	1	1	yes	characteristic
472	#6382	C₂³	1	1	yes	characteristic
473	#6382	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	#6381	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	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
480	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	#3510	—	7	1	no	—
483	#3504	—	7	1	no	—
484	#3377	—	7	1	no	—
485	#3377	D₇	1	1	yes	characteristic, complemented
486	#3376	—	7	1	no	—
487	#3376	—	7	1	no	—
488	#3371	—	7	1	no	—
489	#3371	—	7	1	no	—
490	#3370	—	7	1	no	—
491	#3370	—	7	1	no	—
492	#3365	—	7	1	no	—
493	#3365	—	7	1	no	—
494	#3364	—	7	1	no	—
495	#3364	—	7	1	no	—
496	#3361	—	7	1	no	—
497	#3361	—	7	1	no	—
498	#3360	—	7	1	no	—
499	#3360	—	7	1	no	—
500	#3137	—	7	1	no	—
501	#3136	—	7	1	no	—
502	C₂×#488	—	7	1	no	—
503	#3082	—	7	1	no	—
504	#3081	—	7	1	no	—
505	#3080	—	7	1	no	—
506	#3046	—	7	1	no	—
507	#3045	—	7	1	no	—
508	#3040	—	7	1	no	—
509	#2960	—	7	1	no	—
510	#2947	—	7	1	no	—
511	#2946	—	7	1	no	—
512	C₄×#135	—	7	1	no	—
513	C₂³×D₇	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
516	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₇	—	2	1	no	—
521	C₂×C₂²⋊D₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂²×Dic₇	—	2	1	no	—
525	#1161	—	2	2	no	—
526	#1161	—	2	2	no	—
527	#1161	—	2	2	no	—
528	#1161	#41	1	4	yes	—
529	Q₈×D₇	—	2	2	no	—
530	Q₈×D₇	—	2	2	no	—
531	D₄×D₇	—	2	2	no	—
532	D₄×D₇	—	2	2	no	—
533	C₂×D₂₈	—	2	1	no	—
534	C₂×D₂₈	—	2	1	no	—
535	C₂×D₂₈	—	2	1	no	—
536	C₂×D₂₈	—	2	1	no	—
537	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
538	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
539	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
545	C₂×C₄×D₇	—	2	1	no	—
546	C₂×C₄×D₇	—	2	1	no	—
547	C₂×C₄×D₇	—	2	1	no	—
548	C₂×C₄×D₇	—	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	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
557	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
558	C₂×Dic₁₄	—	2	1	no	—
559	C₂×Dic₁₄	—	2	1	no	—
560	C₂×Dic₁₄	—	2	1	no	—
561	C₂×Dic₁₄	—	2	1	no	—
562	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
563	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
564	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
565	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
566	C₇×Q₁₆	—	2	2	no	—
567	C₇×Q₁₆	—	2	2	no	—
568	C₇×SD₁₆	—	2	2	no	—
569	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
573	C₇×C₄⋊C₄	—	2	1	no	—
574	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	—	2	1	no	—
579	C₇×C₄⋊C₄	—	2	1	no	—
580	C₇×C₄⋊C₄	—	2	1	no	—
581	C₇×C₄⋊C₄	—	2	1	no	—
582	C₇×C₄⋊C₄	—	2	1	no	—
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₇×C₂²⋊C₄	—	2	1	no	—
593	C₇×C₂²⋊C₄	—	2	1	no	—
594	C₇×C₂²⋊C₄	—	2	1	no	—
595	C₇×C₂²⋊C₄	—	2	1	no	—
596	C₇×C₂²⋊C₄	—	2	1	no	—
597	C₄²×C₇	—	2	1	no	—
598	C₄²×C₇	—	2	1	no	—
599	C₄²×C₇	—	2	1	no	—
600	C₄²×C₇	—	2	1	no	—
601	C₄²×C₇	—	2	1	no	—
602	C₄²×C₇	C₂⁴	1	1	yes	characteristic
603	C₄²×C₇	C₂⁴	1	1	yes	characteristic
604	C₄²×C₇	C₂⁴	1	1	yes	characteristic
605	C₂²⋊Dic₇	—	2	1	no	—
606	C₂²⋊Dic₇	—	2	1	no	—
607	C₂²⋊Dic₇	—	2	1	no	—
608	#1144	—	2	2	no	—
609	#1143	—	2	2	no	—
610	#1143	—	2	2	no	—
611	#1143	—	2	2	no	—
612	#1143	—	2	2	no	—
613	#1141	—	2	2	no	—
614	(C₂×D₇)⋊C₄	—	2	1	no	—
615	(C₂×D₇)⋊C₄	—	2	1	no	—
616	(C₂×D₇)⋊C₄	—	2	1	no	—
617	(C₂×D₇)⋊C₄	—	2	1	no	—
618	(C₂×D₇)⋊C₄	—	2	1	no	—
619	(C₂×D₇)⋊C₄	—	2	1	no	—
620	(C₂×D₇)⋊C₄	—	2	1	no	—
621	(C₂×D₇)⋊C₄	—	2	1	no	—
622	(C₂×D₇)⋊C₄	—	2	1	no	—
623	(C₂×D₇)⋊C₄	—	2	1	no	—
624	(C₂×D₇)⋊C₄	—	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	—	2	1	no	—
649	C₄⋊Dic₇	—	2	1	no	—
650	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
674	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
675	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
676	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
677	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
678	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
679	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
680	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
681	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
682	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
697	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
701	D₅₆	—	2	2	no	—
702	D₅₆	—	2	2	no	—
703	#1132	—	2	2	no	—
704	#1131	—	2	2	no	—
705	#1131	—	2	2	no	—
706	C₈×D₇	—	2	2	no	—
707	C₈×D₇	—	2	2	no	—
708	C₂×#137	—	7	1	no	—
709	C₂×AGL(1,ℤ/8)	—	7	1	no	—
710	C₂×#135	—	7	1	no	—
711	#559	—	7	1	no	—
712	#559	—	7	1	no	—
713	#559	—	7	1	no	—
714	#559	—	7	1	no	—
715	#557	—	7	1	no	—
716	#557	—	7	1	no	—
717	#557	—	7	1	no	—
718	#557	C₂×D₇	1	1	yes	characteristic, complemented
719	#556	—	7	1	no	—
720	#556	—	7	1	no	—
721	#556	—	7	1	no	—
722	#556	C₂×D₇	1	1	yes	characteristic
723	#554	—	7	1	no	—
724	#554	—	7	1	no	—
725	#554	—	7	1	no	—
726	#554	—	7	1	no	—
727	#554	—	14	1	no	—
728	#554	—	14	1	no	—
729	#554	—	14	1	no	—
730	#554	—	14	1	no	—
731	#551	—	14	1	no	—
732	#551	—	14	1	no	—
733	#551	—	14	1	no	—
734	#551	—	14	1	no	—
735	#544	—	7	1	no	—
736	#544	—	7	1	no	—
737	#544	—	14	1	no	—
738	#544	—	14	1	no	—
739	#542	—	14	1	no	—
740	#542	—	14	1	no	—
741	#536	—	7	1	no	—
742	#535	—	7	1	no	—
743	#533	—	7	1	no	—
744	#533	—	14	1	no	—
745	#529	—	14	1	no	—
746	#529	—	14	1	no	—
747	C₂×#125	—	7	1	no	—
748	C₂×#125	—	14	1	no	—
749	C₂×#124	—	7	1	no	—
750	#520	—	7	1	no	—
751	#520	—	7	1	no	—
752	#519	—	7	1	no	—
753	#518	—	7	1	no	—
754	C₄×#41	—	7	1	no	—
755	C₄×#41	—	7	1	no	—
756	#491	—	7	1	no	—
757	#491	C₂×D₇	1	1	yes	characteristic, complemented
758	#490	—	7	1	no	—
759	#490	—	7	1	no	—
760	#489	—	7	1	no	—
761	#489	—	7	1	no	—
762	#489	—	7	1	no	—
763	#489	C₂×D₇	1	1	yes	characteristic
764	#488	—	7	1	no	—
765	#488	—	7	1	no	—
766	#488	—	7	1	no	—
767	#488	—	7	1	no	—
768	#488	—	7	1	no	—
769	#488	—	7	1	no	—
770	#488	—	7	1	no	—
771	#488	—	7	1	no	—
772	#488	—	7	1	no	—
773	#488	—	7	1	no	—
774	#488	—	7	1	no	—
775	#488	C₂×D₇	1	1	yes	characteristic
776	#487	—	7	1	no	—
777	#487	—	7	1	no	—
778	#486	—	7	1	no	—
779	#486	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#479	—	7	1	no	—
785	#479	—	7	1	no	—
786	#479	—	7	1	no	—
787	#479	C₂×D₇	1	1	yes	characteristic, complemented
788	#478	—	7	1	no	—
789	#478	—	7	1	no	—
790	#478	—	7	1	no	—
791	#478	—	7	1	no	—
792	#478	—	7	1	no	—
793	#478	—	7	1	no	—
794	#478	—	7	1	no	—
795	#478	C₂×D₇	1	1	yes	characteristic
796	#477	—	7	1	no	—
797	#477	C₂×D₇	1	1	yes	characteristic, complemented
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#475	—	7	1	no	—
801	#475	—	7	1	no	—
802	#474	—	7	1	no	—
803	#474	—	7	1	no	—
804	#464	—	7	1	no	—
805	#464	—	7	1	no	—
806	#464	—	7	1	no	—
807	#464	—	7	1	no	—
808	#464	—	7	1	no	—
809	#464	—	7	1	no	—
810	#464	C₂×D₇	1	1	yes	characteristic
811	#464	C₂×D₇	1	1	yes	characteristic
812	#463	—	7	1	no	—
813	#463	—	7	1	no	—
814	#463	—	7	1	no	—
815	#463	—	7	1	no	—
816	#463	—	7	1	no	—
817	#463	—	7	1	no	—
818	#463	—	7	1	no	—
819	#463	—	7	1	no	—
820	#462	—	7	1	no	—
821	#462	C₂×D₇	1	1	yes	characteristic, complemented
822	#461	—	7	1	no	—
823	#461	—	7	1	no	—
824	#460	—	7	1	no	—
825	#460	—	7	1	no	—
826	#459	—	7	1	no	—
827	#459	—	7	1	no	—
828	#446	—	7	1	no	—
829	#446	—	7	1	no	—
830	#446	—	7	1	no	—
831	#446	C₂×D₇	1	1	yes	characteristic, complemented
832	C₈×Q₈	—	7	1	no	—
833	C₈×Q₈	—	7	1	no	—
834	C₈×Q₈	—	7	1	no	—
835	C₈×Q₈	—	7	1	no	—
836	#442	—	7	1	no	—
837	#442	—	7	1	no	—
838	#441	—	7	1	no	—
839	#441	C₂×D₇	1	1	yes	characteristic, complemented
840	#440	—	7	1	no	—
841	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	C₂×D₇	1	1	yes	characteristic
844	C₄×Q₁₆	—	7	1	no	—
845	C₄×Q₁₆	—	7	1	no	—
846	C₄×Q₁₆	—	7	1	no	—
847	C₄×Q₁₆	C₂×D₇	1	1	yes	characteristic, complemented
848	C₄×SD₁₆	—	7	1	no	—
849	C₄×SD₁₆	—	7	1	no	—
850	C₄×SD₁₆	—	7	1	no	—
851	C₄×SD₁₆	—	7	1	no	—
852	C₄×SD₁₆	—	7	1	no	—
853	C₄×SD₁₆	—	7	1	no	—
854	C₄×SD₁₆	—	7	1	no	—
855	C₄×SD₁₆	—	7	1	no	—
856	C₄×D₈	—	7	1	no	—
857	C₄×D₈	—	7	1	no	—
858	C₄×D₈	—	7	1	no	—
859	C₄×D₈	—	7	1	no	—
860	#428	—	7	1	no	—
861	#428	—	7	1	no	—
862	#427	—	7	1	no	—
863	#424	—	7	1	no	—
864	#424	—	7	1	no	—
865	#423	—	7	1	no	—
866	#419	—	7	1	no	—
867	#418	—	7	1	no	—
868	#417	—	7	1	no	—
869	#417	—	7	1	no	—
870	#416	—	7	1	no	—
871	#416	—	7	1	no	—
872	C₂×#103	—	7	1	no	—
873	C₂×#103	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂×#102	—	7	1	no	—
876	#405	—	7	1	no	—
877	#405	—	7	1	no	—
878	C₂×C₄×C₈	—	7	1	no	—
879	C₂³×C₇	—	2	1	no	—
880	C₂²×D₇	—	2	1	no	—
881	C₂²×D₇	—	2	1	no	—
882	C₂²×D₇	—	2	1	no	—
883	C₂²×D₇	—	4	2	no	—
884	C₂²×D₇	—	8	1	no	—
885	C₂²×D₇	—	8	1	no	—
886	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
887	C₇×Q₈	—	2	1	no	—
888	C₇×Q₈	—	2	1	no	—
889	C₇×Q₈	—	2	1	no	—
890	C₇×Q₈	—	2	1	no	—
891	C₇×Q₈	—	2	1	no	—
892	C₇×Q₈	—	4	1	no	—
893	C₇×Q₈	—	8	1	no	—
894	C₇×Q₈	C₂×#41	1	2	yes	—
895	C₇×D₄	—	2	1	no	—
896	C₇×D₄	—	2	1	no	—
897	C₂×C₄×C₇	—	2	1	no	—
898	C₂×C₄×C₇	—	2	1	no	—
899	C₂×C₄×C₇	—	2	1	no	—
900	C₂×C₄×C₇	—	2	1	no	—
901	C₂×C₄×C₇	—	2	1	no	—
902	C₂×C₄×C₇	—	2	1	no	—
903	C₂×C₄×C₇	—	2	1	no	—
904	C₂×C₄×C₇	—	8	1	no	—
905	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
906	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
912	C₂²⋊D₇	—	4	2	no	—
913	C₂²⋊D₇	—	8	1	no	—
914	C₂²⋊D₇	—	8	1	no	—
915	C₂×Dic₇	—	2	1	no	—
916	C₂×Dic₇	—	2	1	no	—
917	C₂×Dic₇	—	2	1	no	—
918	C₂×Dic₇	—	2	1	no	—
919	C₂×Dic₇	—	2	1	no	—
920	C₂×Dic₇	—	8	1	no	—
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	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
926	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
927	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
928	D₂₈	—	2	4	no	—
929	D₂₈	—	2	1	no	—
930	D₂₈	—	2	1	no	—
931	D₂₈	—	2	1	no	—
932	D₂₈	—	2	1	no	—
933	D₂₈	—	2	1	no	—
934	D₂₈	—	4	2	no	—
935	D₂₈	—	8	1	no	—
936	D₂₈	—	8	1	no	—
937	D₂₈	C₂×#41	1	2	yes	—
938	C₄×D₇	—	2	4	no	—
939	C₄×D₇	—	4	1	no	—
940	C₄×D₇	—	4	1	no	—
941	C₄×D₇	—	4	2	no	—
942	C₄×D₇	—	4	2	no	—
943	C₄×D₇	—	8	1	no	—
944	C₄×D₇	—	8	1	no	—
945	C₄×D₇	—	8	1	no	—
946	C₄×D₇	—	8	1	no	—
947	C₄×D₇	—	8	1	no	—
948	C₄×D₇	—	8	1	no	—
949	C₄×D₇	—	8	1	no	—
950	C₄×D₇	—	8	1	no	—
951	C₄×D₇	—	8	1	no	—
952	C₄×D₇	—	8	1	no	—
953	C₄×D₇	—	8	1	no	—
954	C₄×D₇	—	8	1	no	—
955	C₄×D₇	C₂×#41	1	2	yes	—
956	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
957	Dic₁₄	—	2	1	no	—
958	Dic₁₄	—	2	1	no	—
959	Dic₁₄	—	4	1	no	—
960	Dic₁₄	—	4	1	no	—
961	Dic₁₄	—	4	1	no	—
962	Dic₁₄	—	4	2	no	—
963	Dic₁₄	—	8	1	no	—
964	Dic₁₄	—	8	1	no	—
965	Dic₁₄	—	8	1	no	—
966	C₇×C₈	—	2	1	no	—
967	C₇×C₈	—	2	1	no	—
968	C₇×C₈	—	2	1	no	—
969	C₇×C₈	—	2	1	no	—
970	C₇⋊C₈	—	2	1	no	—
971	C₇⋊C₈	—	2	1	no	—
972	C₇⋊C₈	—	2	1	no	—
973	C₇⋊C₈	—	2	1	no	—
974	C₂×#41	—	7	1	no	—
975	C₂×#41	—	7	1	no	—
976	C₂²×Q₈	—	7	1	no	—
977	C₂²×D₄	—	7	1	no	—
978	#137	—	14	4	no	—
979	AGL(1,ℤ/8)	—	14	4	no	—
980	#135	—	14	4	no	—
981	C₂×Q₁₆	—	7	1	no	—
982	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
983	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
984	C₂×SD₁₆	—	7	1	no	—
985	C₂×SD₁₆	—	7	1	no	—
986	C₂×SD₁₆	—	7	1	no	—
987	C₂×SD₁₆	—	7	1	no	—
988	C₂×SD₁₆	—	7	1	no	—
989	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
990	C₂×D₈	—	7	1	no	—
991	C₂×D₈	—	7	1	no	—
992	C₂×D₈	—	7	1	no	—
993	C₂×M₁₆	—	7	1	no	—
994	C₂×M₁₆	—	7	1	no	—
995	C₂²×C₈	—	7	1	no	—
996	C₂²×C₈	—	7	1	no	—
997	C₄⋊Q₈	—	2	1	no	—
998	C₄⋊Q₈	—	7	1	no	—
999	C₄⋊Q₈	—	7	1	no	—
1000	C₄⋊Q₈	—	7	1	no	—
1001	C₄⋊Q₈	—	7	1	no	—
1002	C₄⋊Q₈	—	7	1	no	—
1003	C₄⋊Q₈	—	7	1	no	—
1004	C₄⋊Q₈	—	14	1	no	—
1005	C₄⋊Q₈	—	14	1	no	—
1006	C₄⋊Q₈	—	14	1	no	—
1007	C₄⋊Q₈	—	14	1	no	—
1008	C₄⋊Q₈	—	14	1	no	—
1009	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1010	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1011	#127	—	7	1	no	—
1012	#127	—	7	1	no	—
1013	#126	—	2	1	no	—
1014	#126	—	2	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	#125	—	2	1	no	—
1022	#125	—	2	1	no	—
1023	#125	—	7	1	no	—
1024	#125	—	7	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	—	7	1	no	—
1028	#125	—	7	1	no	—
1029	#125	—	7	1	no	—
1030	#125	—	7	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	—	14	1	no	—
1035	#125	—	14	1	no	—
1036	#125	—	14	1	no	—
1037	#125	—	14	1	no	—
1038	#125	—	14	1	no	—
1039	#125	—	14	1	no	—
1040	#125	—	14	1	no	—
1041	#125	C₂²×D₇	1	1	yes	characteristic
1042	#125	C₂²×D₇	1	1	yes	characteristic
1043	#124	—	7	1	no	—
1044	#124	—	7	1	no	—
1045	#124	—	7	1	no	—
1046	#124	—	7	1	no	—
1047	#124	—	7	1	no	—
1048	#124	—	7	1	no	—
1049	#124	—	14	1	no	—
1050	#124	—	14	1	no	—
1051	#124	—	14	1	no	—
1052	#124	—	14	1	no	—
1053	#124	—	14	1	no	—
1054	#124	—	14	1	no	—
1055	#124	C₂²×D₇	1	1	yes	characteristic
1056	#124	C₂²×D₇	1	1	yes	characteristic
1057	#123	—	14	1	no	—
1058	#123	—	14	1	no	—
1059	#123	—	14	1	no	—
1060	#123	—	14	1	no	—
1061	#123	—	14	1	no	—
1062	#123	—	14	1	no	—
1063	#123	—	14	1	no	—
1064	#123	—	14	1	no	—
1065	#123	—	14	1	no	—
1066	#123	—	14	1	no	—
1067	C₂²⋊Q₈	—	2	1	no	—
1068	C₂²⋊Q₈	—	7	1	no	—
1069	C₂²⋊Q₈	—	7	1	no	—
1070	C₂²⋊Q₈	—	7	1	no	—
1071	C₂²⋊Q₈	—	7	1	no	—
1072	C₂²⋊Q₈	—	14	1	no	—
1073	C₂²⋊Q₈	—	14	1	no	—
1074	C₂²⋊Q₈	—	14	1	no	—
1075	C₂²⋊Q₈	—	14	1	no	—
1076	C₂²⋊Q₈	—	14	1	no	—
1077	C₂²⋊Q₈	—	14	1	no	—
1078	C₂²⋊Q₈	—	14	1	no	—
1079	C₂²⋊Q₈	—	14	1	no	—
1080	C₂²⋊Q₈	—	14	1	no	—
1081	C₂²⋊Q₈	—	14	1	no	—
1082	C₂²⋊Q₈	—	14	1	no	—
1083	C₂²⋊Q₈	—	14	1	no	—
1084	C₂²⋊Q₈	—	14	1	no	—
1085	C₂²⋊Q₈	—	14	1	no	—
1086	C₂²⋊Q₈	—	14	1	no	—
1087	C₂²⋊Q₈	—	14	1	no	—
1088	C₂²⋊Q₈	—	14	1	no	—
1089	C₂²⋊Q₈	—	14	1	no	—
1090	C₂²⋊Q₈	—	14	1	no	—
1091	C₂²⋊Q₈	—	14	1	no	—
1092	C₂²⋊Q₈	—	14	1	no	—
1093	#121	—	14	1	no	—
1094	#121	—	14	1	no	—
1095	#120	—	14	1	no	—
1096	#120	—	14	1	no	—
1097	C₄×Q₈	—	2	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	—	7	1	no	—
1104	C₄×Q₈	—	7	1	no	—
1105	C₄×Q₈	—	7	1	no	—
1106	C₄×Q₈	—	7	1	no	—
1107	C₄×Q₈	—	7	1	no	—
1108	C₄×Q₈	—	14	1	no	—
1109	C₄×Q₈	—	14	1	no	—
1110	C₄×Q₈	—	14	1	no	—
1111	C₄×Q₈	—	14	1	no	—
1112	C₄×Q₈	—	14	1	no	—
1113	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1114	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1115	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1116	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1117	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1118	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1119	C₄×D₄	—	7	1	no	—
1120	C₄×D₄	—	7	1	no	—
1121	C₄×D₄	—	7	1	no	—
1122	C₄×D₄	—	7	1	no	—
1123	C₄×D₄	—	7	1	no	—
1124	C₄×D₄	—	7	1	no	—
1125	C₄×D₄	—	7	1	no	—
1126	C₄×D₄	—	7	1	no	—
1127	C₄×D₄	—	7	1	no	—
1128	C₄×D₄	—	7	1	no	—
1129	C₄×D₄	—	7	1	no	—
1130	C₄×D₄	—	14	1	no	—
1131	C₄×D₄	—	14	1	no	—
1132	C₄×D₄	—	14	1	no	—
1133	C₄×D₄	—	14	1	no	—
1134	C₄×D₄	—	14	1	no	—
1135	C₄×D₄	—	14	1	no	—
1136	C₄×D₄	—	14	1	no	—
1137	C₄×D₄	—	14	1	no	—
1138	C₄×D₄	—	14	1	no	—
1139	C₄×D₄	—	14	1	no	—
1140	C₄×D₄	—	14	1	no	—
1141	C₄×D₄	—	14	1	no	—
1142	C₄×D₄	—	14	1	no	—
1143	C₄×D₄	—	14	1	no	—
1144	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1145	#117	—	2	1	no	—
1146	#117	—	7	1	no	—
1147	#117	—	7	1	no	—
1148	#117	—	7	1	no	—
1149	#117	—	7	1	no	—
1150	#117	—	14	1	no	—
1151	#117	—	14	1	no	—
1152	#117	—	14	1	no	—
1153	#117	—	14	1	no	—
1154	#117	—	14	1	no	—
1155	#117	—	14	1	no	—
1156	#117	—	14	1	no	—
1157	#117	—	14	1	no	—
1158	#117	—	14	1	no	—
1159	C₂×C₄⋊C₄	—	7	1	no	—
1160	C₂×C₄⋊C₄	—	7	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	—	14	1	no	—
1168	C₂×C₄⋊C₄	—	14	1	no	—
1169	C₂×C₂²⋊C₄	—	14	1	no	—
1170	C₂×C₂²⋊C₄	—	14	1	no	—
1171	C₂×C₂²⋊C₄	—	14	1	no	—
1172	C₂×C₂²⋊C₄	—	14	1	no	—
1173	C₂×C₄²	—	7	1	no	—
1174	C₂×C₄²	—	14	1	no	—
1175	C₂×C₄²	—	14	1	no	—
1176	#107	—	7	1	no	—
1177	#107	—	7	1	no	—
1178	#107	—	7	1	no	—
1179	#107	—	7	1	no	—
1180	#107	C₂²×D₇	1	1	yes	characteristic
1181	#107	C₂²×D₇	1	1	yes	characteristic
1182	#106	—	7	1	no	—
1183	#106	—	7	1	no	—
1184	#106	—	7	1	no	—
1185	#106	—	7	1	no	—
1186	#106	—	7	1	no	—
1187	#106	C₂²×D₇	1	1	yes	characteristic
1188	C₄⋊C₈	—	7	1	no	—
1189	C₄⋊C₈	—	7	1	no	—
1190	C₄⋊C₈	—	7	1	no	—
1191	C₄⋊C₈	—	7	1	no	—
1192	C₄⋊C₈	—	7	1	no	—
1193	C₄⋊C₈	—	7	1	no	—
1194	C₄⋊C₈	—	7	1	no	—
1195	C₄⋊C₈	—	7	1	no	—
1196	C₄⋊C₈	—	7	1	no	—
1197	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1198	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1199	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1200	#103	—	7	1	no	—
1201	#103	—	7	1	no	—
1202	#103	—	7	1	no	—
1203	#103	—	7	1	no	—
1204	#103	—	7	1	no	—
1205	#103	—	7	1	no	—
1206	#103	—	7	1	no	—
1207	#103	—	7	1	no	—
1208	#103	—	7	1	no	—
1209	#103	—	7	1	no	—
1210	#103	—	7	1	no	—
1211	#103	—	7	1	no	—
1212	#103	—	7	1	no	—
1213	#103	C₂²×D₇	1	1	yes	characteristic
1214	#103	C₂²×D₇	1	1	yes	characteristic
1215	#103	C₂²×D₇	1	1	yes	characteristic
1216	#103	C₂²×D₇	1	1	yes	characteristic
1217	#103	C₂²×D₇	1	1	yes	characteristic
1218	#103	C₂²×D₇	1	1	yes	characteristic
1219	#103	C₂²×D₇	1	1	yes	characteristic
1220	#102	—	7	1	no	—
1221	#102	—	7	1	no	—
1222	#102	—	7	1	no	—
1223	#102	—	7	1	no	—
1224	#102	—	7	1	no	—
1225	#102	—	7	1	no	—
1226	#102	—	7	1	no	—
1227	#102	—	7	1	no	—
1228	#102	—	7	1	no	—
1229	#102	—	7	1	no	—
1230	#102	—	7	1	no	—
1231	#102	—	7	1	no	—
1232	#102	—	7	1	no	—
1233	#102	—	7	1	no	—
1234	#102	—	7	1	no	—
1235	#102	—	7	1	no	—
1236	#102	—	7	1	no	—
1237	#102	C₂²×D₇	1	1	yes	characteristic
1238	#102	C₂²×D₇	1	1	yes	characteristic
1239	#102	C₂²×D₇	1	1	yes	characteristic
1240	#97	—	7	1	no	—
1241	#97	—	7	1	no	—
1242	#97	C₂²×D₇	1	1	yes	characteristic
1243	#97	C₂²×D₇	1	1	yes	characteristic
1244	C₄×C₈	—	7	1	no	—
1245	C₄×C₈	—	7	1	no	—
1246	C₄×C₈	—	7	1	no	—
1247	C₄×C₈	—	7	1	no	—
1248	C₄×C₈	—	7	1	no	—
1249	C₄×C₈	—	7	1	no	—
1250	C₄×C₈	—	7	1	no	—
1251	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1252	C₂²×C₇	—	4	1	no	—
1253	C₂²×C₇	—	4	1	no	—
1254	C₂²×C₇	—	4	1	no	—
1255	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1256	C₂×D₇	—	2	1	no	—
1257	C₂×D₇	—	2	1	no	—
1258	C₂×D₇	—	2	2	no	—
1259	C₂×D₇	—	4	1	no	—
1260	C₂×D₇	—	4	1	no	—
1261	C₂×D₇	—	4	1	no	—
1262	C₂×D₇	—	4	1	no	—
1263	C₂×D₇	—	4	1	no	—
1264	C₂×D₇	—	4	1	no	—
1265	C₂×D₇	—	4	1	no	—
1266	C₂×D₇	—	4	1	no	—
1267	C₂×D₇	—	16	2	no	—
1268	C₂×D₇	#548	1	2	yes	—
1269	C₄×C₇	—	2	1	no	—
1270	C₄×C₇	—	2	1	no	—
1271	C₄×C₇	—	2	1	no	—
1272	C₄×C₇	—	2	1	no	—
1273	C₄×C₇	—	2	1	no	—
1274	C₄×C₇	—	2	1	no	—
1275	C₄×C₇	—	2	2	no	—
1276	C₄×C₇	—	4	1	no	—
1277	C₄×C₇	—	4	1	no	—
1278	C₄×C₇	—	4	1	no	—
1279	C₄×C₇	—	4	1	no	—
1280	C₄×C₇	—	4	1	no	—
1281	C₄×C₇	—	4	1	no	—
1282	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1283	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1284	Dic₇	—	2	1	no	—
1285	Dic₇	—	2	1	no	—
1286	Dic₇	—	2	1	no	—
1287	Dic₇	—	2	1	no	—
1288	Dic₇	—	2	1	no	—
1289	Dic₇	—	2	1	no	—
1290	Dic₇	—	4	1	no	—
1291	Dic₇	—	4	1	no	—
1292	Dic₇	—	4	1	no	—
1293	Dic₇	—	4	1	no	—
1294	Dic₇	—	4	1	no	—
1295	Dic₇	#548	1	2	yes	—
1296	C₂⁴	—	14	1	no	—
1297	#41	—	7	4	no	—
1298	#41	—	14	2	no	—
1299	#41	—	14	2	no	—
1300	#41	—	14	2	no	—
1301	C₂×Q₈	—	2	1	no	—
1302	C₂×Q₈	—	7	1	no	—
1303	C₂×Q₈	—	7	1	no	—
1304	C₂×Q₈	—	7	1	no	—
1305	C₂×Q₈	—	7	1	no	—
1306	C₂×Q₈	—	14	1	no	—
1307	C₂×Q₈	—	14	1	no	—
1308	C₂×Q₈	—	14	1	no	—
1309	C₂×Q₈	—	14	2	no	—
1310	C₂×Q₈	—	14	2	no	—
1311	C₂×Q₈	—	14	1	no	—
1312	C₂×Q₈	D₄×D₇	1	1	yes	characteristic
1313	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1314	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1315	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1316	C₂×D₄	—	7	1	no	—
1317	C₂×D₄	—	7	1	no	—
1318	C₂×D₄	—	7	1	no	—
1319	C₂×D₄	—	14	1	no	—
1320	C₂×D₄	—	14	1	no	—
1321	C₂×D₄	—	14	2	no	—
1322	C₂×D₄	—	14	2	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	—	14	1	no	—
1328	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	7	1	no	—
1331	C₂²×C₄	—	7	1	no	—
1332	C₂²×C₄	—	7	1	no	—
1333	C₂²×C₄	—	14	1	no	—
1334	C₂²×C₄	—	14	1	no	—
1335	C₂²×C₄	—	14	1	no	—
1336	C₂²×C₄	—	14	1	no	—
1337	C₂²×C₄	—	14	1	no	—
1338	C₂²×C₄	—	14	1	no	—
1339	C₂²×C₄	—	14	1	no	—
1340	C₂²×C₄	—	14	1	no	—
1341	C₂²×C₄	—	14	1	no	—
1342	C₂²×C₄	—	14	1	no	—
1343	C₂²×C₄	—	14	1	no	—
1344	C₂²×C₄	—	14	1	no	—
1345	C₂²×C₄	—	14	1	no	—
1346	C₂²×C₄	—	14	1	no	—
1347	C₂²×C₄	—	14	1	no	—
1348	C₂²×C₄	—	14	1	no	—
1349	Q₁₆	—	2	2	no	—
1350	Q₁₆	—	2	2	no	—
1351	Q₁₆	—	14	2	no	—
1352	SD₁₆	—	2	2	no	—
1353	SD₁₆	—	14	2	no	—
1354	SD₁₆	—	14	2	no	—
1355	SD₁₆	—	14	2	no	—
1356	SD₁₆	—	14	2	no	—
1357	SD₁₆	—	14	2	no	—
1358	D₈	—	14	2	no	—
1359	D₈	—	14	2	no	—
1360	D₈	—	14	2	no	—
1361	M₁₆	—	14	2	no	—
1362	M₁₆	—	14	2	no	—
1363	C₂×C₈	—	7	1	no	—
1364	C₂×C₈	—	7	1	no	—
1365	C₂×C₈	—	7	1	no	—
1366	C₂×C₈	—	7	1	no	—
1367	C₂×C₈	—	14	2	no	—
1368	C₂×C₈	—	14	2	no	—
1369	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1370	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1371	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1372	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	7	1	no	—
1386	C₄⋊C₄	—	7	1	no	—
1387	C₄⋊C₄	—	7	1	no	—
1388	C₄⋊C₄	—	7	1	no	—
1389	C₄⋊C₄	—	7	1	no	—
1390	C₄⋊C₄	—	7	1	no	—
1391	C₄⋊C₄	—	7	1	no	—
1392	C₄⋊C₄	—	7	1	no	—
1393	C₄⋊C₄	—	7	1	no	—
1394	C₄⋊C₄	—	7	1	no	—
1395	C₄⋊C₄	—	7	1	no	—
1396	C₄⋊C₄	—	7	1	no	—
1397	C₄⋊C₄	—	7	1	no	—
1398	C₄⋊C₄	—	7	1	no	—
1399	C₄⋊C₄	—	7	1	no	—
1400	C₄⋊C₄	—	7	1	no	—
1401	C₄⋊C₄	—	7	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	—	14	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	—	14	1	no	—
1408	C₄⋊C₄	—	14	1	no	—
1409	C₄⋊C₄	—	14	1	no	—
1410	C₄⋊C₄	—	14	1	no	—
1411	C₄⋊C₄	—	14	1	no	—
1412	C₄⋊C₄	—	14	1	no	—
1413	C₄⋊C₄	—	14	1	no	—
1414	C₄⋊C₄	—	14	1	no	—
1415	C₄⋊C₄	—	14	1	no	—
1416	C₄⋊C₄	—	14	1	no	—
1417	C₄⋊C₄	—	14	1	no	—
1418	C₄⋊C₄	—	14	1	no	—
1419	C₄⋊C₄	—	14	1	no	—
1420	C₄⋊C₄	—	14	1	no	—
1421	C₄⋊C₄	—	14	1	no	—
1422	C₄⋊C₄	—	14	1	no	—
1423	C₄⋊C₄	—	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	D₄×D₇	1	1	yes	characteristic
1429	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1430	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1434	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	7	1	no	—
1441	C₂²⋊C₄	—	7	1	no	—
1442	C₂²⋊C₄	—	7	1	no	—
1443	C₂²⋊C₄	—	7	1	no	—
1444	C₂²⋊C₄	—	14	1	no	—
1445	C₂²⋊C₄	—	14	1	no	—
1446	C₂²⋊C₄	—	14	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	C₂²⋊C₄	—	14	1	no	—
1449	C₂²⋊C₄	—	14	1	no	—
1450	C₂²⋊C₄	—	14	1	no	—
1451	C₂²⋊C₄	—	14	1	no	—
1452	C₂²⋊C₄	—	14	1	no	—
1453	C₂²⋊C₄	—	14	1	no	—
1454	C₂²⋊C₄	—	14	1	no	—
1455	C₂²⋊C₄	—	14	1	no	—
1456	C₂²⋊C₄	—	14	1	no	—
1457	C₂²⋊C₄	—	14	1	no	—
1458	C₂²⋊C₄	—	14	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	—	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	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	7	1	no	—
1475	C₄²	—	7	1	no	—
1476	C₄²	—	7	1	no	—
1477	C₄²	—	7	1	no	—
1478	C₄²	—	7	1	no	—
1479	C₄²	—	14	1	no	—
1480	C₄²	—	14	1	no	—
1481	C₄²	—	14	1	no	—
1482	C₄²	—	14	1	no	—
1483	C₄²	—	14	1	no	—
1484	C₄²	—	14	1	no	—
1485	C₄²	—	14	1	no	—
1486	C₄²	—	14	1	no	—
1487	C₄²	—	14	1	no	—
1488	C₄²	C₂³×D₇	1	1	yes	characteristic
1489	C₄²	C₂³×D₇	1	1	yes	characteristic
1490	C₄²	C₂³×D₇	1	1	yes	characteristic
1491	C₂×C₇	—	8	1	no	—
1492	C₂×C₇	C₂×#548	1	1	yes	characteristic
1493	C₂×C₇	#3584	1	1	yes	characteristic
1494	C₂×C₇	#3584	1	1	yes	characteristic
1495	D₇	—	2	2	no	—
1496	D₇	—	4	2	no	—
1497	D₇	—	8	1	no	—
1498	D₇	—	8	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	7	1	no	—
1501	C₂³	—	14	1	no	—
1502	C₂³	—	14	1	no	—
1503	C₂³	—	14	1	no	—
1504	C₂³	—	28	2	no	—
1505	C₂³	—	56	1	no	—
1506	C₂³	—	56	1	no	—
1507	Q₈	—	2	1	no	—
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	2	1	no	—
1511	Q₈	—	2	1	no	—
1512	Q₈	—	4	1	no	—
1513	Q₈	—	8	1	no	—
1514	Q₈	—	14	1	no	—
1515	Q₈	—	14	1	no	—
1516	Q₈	—	28	1	no	—
1517	Q₈	—	28	1	no	—
1518	Q₈	—	28	1	no	—
1519	Q₈	—	28	2	no	—
1520	Q₈	—	56	1	no	—
1521	Q₈	—	56	1	no	—
1522	Q₈	—	56	1	no	—
1523	Q₈	D₇×#41	1	2	yes	—
1524	D₄	—	2	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	7	2	no	—
1527	D₄	—	14	4	no	—
1528	D₄	—	14	1	no	—
1529	D₄	—	14	1	no	—
1530	D₄	—	14	1	no	—
1531	D₄	—	14	1	no	—
1532	D₄	—	14	1	no	—
1533	D₄	—	28	2	no	—
1534	D₄	—	28	2	no	—
1535	D₄	—	56	1	no	—
1536	D₄	—	56	1	no	—
1537	D₄	—	56	1	no	—
1538	D₄	—	56	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	7	1	no	—
1547	C₂×C₄	—	7	2	no	—
1548	C₂×C₄	—	7	2	no	—
1549	C₂×C₄	—	7	1	no	—
1550	C₂×C₄	—	7	1	no	—
1551	C₂×C₄	—	7	1	no	—
1552	C₂×C₄	—	7	1	no	—
1553	C₂×C₄	—	7	1	no	—
1554	C₂×C₄	—	7	1	no	—
1555	C₂×C₄	—	8	1	no	—
1556	C₂×C₄	—	14	4	no	—
1557	C₂×C₄	—	14	1	no	—
1558	C₂×C₄	—	14	1	no	—
1559	C₂×C₄	—	14	1	no	—
1560	C₂×C₄	—	14	1	no	—
1561	C₂×C₄	—	14	1	no	—
1562	C₂×C₄	—	28	1	no	—
1563	C₂×C₄	—	28	1	no	—
1564	C₂×C₄	—	28	2	no	—
1565	C₂×C₄	—	28	2	no	—
1566	C₂×C₄	—	56	1	no	—
1567	C₂×C₄	—	56	1	no	—
1568	C₂×C₄	—	56	1	no	—
1569	C₂×C₄	—	56	1	no	—
1570	C₂×C₄	—	56	1	no	—
1571	C₂×C₄	—	56	1	no	—
1572	C₂×C₄	—	56	1	no	—
1573	C₂×C₄	—	56	1	no	—
1574	C₂×C₄	—	56	1	no	—
1575	C₂×C₄	—	56	1	no	—
1576	C₂×C₄	—	56	1	no	—
1577	C₂×C₄	—	56	1	no	—
1578	C₂×C₄	—	56	1	no	—
1579	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1580	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1581	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1582	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1583	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1584	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1585	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	14	1	no	—
1591	C₈	—	14	1	no	—
1592	C₈	—	14	1	no	—
1593	C₈	—	14	1	no	—
1594	C₇	#61331	1	1	yes	characteristic, complemented, Sylow
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	7	2	no	—
1599	C₂²	—	14	1	no	—
1600	C₂²	—	14	1	no	—
1601	C₂²	—	14	2	no	—
1602	C₂²	—	28	1	no	—
1603	C₂²	—	28	1	no	—
1604	C₂²	—	28	1	no	—
1605	C₂²	—	28	1	no	—
1606	C₂²	—	28	1	no	—
1607	C₂²	—	28	1	no	—
1608	C₂²	—	28	1	no	—
1609	C₂²	—	28	1	no	—
1610	C₂²	—	112	2	no	—
1611	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	2	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	7	2	no	—
1626	C₄	—	14	1	no	—
1627	C₄	—	14	1	no	—
1628	C₄	—	14	1	no	—
1629	C₄	—	14	1	no	—
1630	C₄	—	14	1	no	—
1631	C₄	—	14	1	no	—
1632	C₄	—	28	1	no	—
1633	C₄	—	28	1	no	—
1634	C₄	—	28	1	no	—
1635	C₄	—	28	1	no	—
1636	C₄	—	28	1	no	—
1637	C₄	C₂×D₇×#41	1	1	yes	characteristic
1638	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1639	C₂	—	8	1	no	—
1640	C₂	—	14	2	no	—
1641	C₂	—	28	2	no	—
1642	C₂	—	56	1	no	—
1643	C₂	—	56	1	no	—
1644	C₂	D₇×#548	1	1	yes	characteristic
1645	C₂	#11744267	1	1	yes	characteristic
1646	C₂	#11744278	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×#3377	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11738047	C₂
hypercenter	#3377	D₇
hypocenter	C₇	#61331
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3377

Complements

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

N	H ≅ G/N	type
1. #11744087	C₂	semidirect
2. #11744052	C₂	semidirect
3. C₇×#3377	C₂	semidirect
4. #11741142	C₂	semidirect
5. #11741112	C₂	semidirect
6. #11739183	C₂	semidirect
7. #11739179	C₂	semidirect
8. #11739125	C₂	semidirect
9. #11739121	C₂	semidirect
10. #11739105	C₂	semidirect
11. D₇×#488	C₂	semidirect
12. #11738676	C₂	semidirect
13. #11738660	C₂	semidirect
14. #11738614	C₂	semidirect
15. #11738595	C₂	semidirect
16. #11738579	C₂	semidirect
17. #11738555	C₂	semidirect
19. #11738044	C₂	semidirect
20. #11738026	C₂	semidirect
21. #11738025	C₂	semidirect
22. #11737924	C₂	semidirect
23. #11737908	C₂	semidirect
24. #11737416	C₂	semidirect
25. #11737403	C₂	semidirect
26. #11737275	C₂	semidirect
27. #11737261	C₂	semidirect
28. #11737220	C₂	semidirect
29. #11737199	C₂	semidirect
30. C₄×#6482	C₂	semidirect
31. #11737149	C₂	semidirect
32. C₇×#557	C₂²	semidirect
39. #90421	C₂²	semidirect
49. #90381	C₂²	semidirect
50. #90381	C₂²	semidirect
64. #90270	C₂²	semidirect
72. #90261	C₂²	semidirect
73. #90260	C₂²	semidirect
74. #90260	C₂²	semidirect
80. C₇×#491	C₂²	semidirect
83. C₇×#479	C₂²	semidirect
85. C₇×#477	C₂²	semidirect
88. C₇×#462	C₂²	semidirect
89. C₇×#446	C₂²	semidirect
90. C₇×#441	C₂²	semidirect
92. C₄×C₇×Q₁₆	C₂²	semidirect
95. #89957	C₂²	semidirect
96. Q₁₆×Dic₇	C₂²	semidirect
97. Q₁₆×Dic₇	C₂²	semidirect
98. #89954	C₂²	semidirect
102. #89866	C₂²	semidirect
104. #89855	C₂²	semidirect
105. #89853	C₂²	semidirect
107. #89840	C₂²	semidirect
109. #89838	C₂²	semidirect
114. C₄×#1144	C₂²	semidirect
116. #89800	C₂²	semidirect
119. C₄×#1143	C₂²	semidirect
120. C₄×#1143	C₂²	semidirect
121. C₄×#1143	C₂²	semidirect
122. Q₈×C₇⋊C₈	C₂²	semidirect
123. #89794	C₂²	semidirect
124. #89794	C₂²	semidirect
128. #89663	C₂²	semidirect
131. #89649	C₂²	semidirect
132. #89647	C₂²	semidirect
134. #89644	C₂²	semidirect
135. #89643	C₂²	semidirect
138. #89624	C₂²	semidirect
139. #89619	C₂²	semidirect
142. #89616	C₂²	semidirect
147. #89602	C₂²	semidirect
148. #89602	C₂²	semidirect
149. #89602	C₂²	semidirect
150. #89601	C₂²	semidirect
153. #89591	C₂²	semidirect
154. #89590	C₂²	semidirect
156. #89589	C₂²	semidirect
167. #89572	C₂²	semidirect
168. #89571	C₂²	semidirect
169. #89569	C₂²	semidirect
170. #89568	C₂²	semidirect
171. #89568	C₂²	semidirect
173. #89567	C₂²	semidirect
174. #89564	C₂²	semidirect
175. #89563	C₂²	semidirect
176. #89561	C₂²	semidirect
177. #89560	C₂²	semidirect
178. #89560	C₂²	semidirect
191. #89486	C₂²	semidirect
194. #89482	C₂²	semidirect
197. #89473	C₂²	semidirect
198. #89473	C₂²	semidirect
200. C₄×D₅₆	C₂²	semidirect
202. #89451	C₂²	semidirect
485. #3377	D₇	semidirect
718. #557	C₂×D₇	semidirect
757. #491	C₂×D₇	semidirect
787. #479	C₂×D₇	semidirect
797. #477	C₂×D₇	semidirect
821. #462	C₂×D₇	semidirect
831. #446	C₂×D₇	semidirect
839. #441	C₂×D₇	semidirect
847. C₄×Q₁₆	C₂×D₇	semidirect
1594. C₇	#61331	semidirect

Maximal subgroups

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

subgroup	index
#11744087	2
#11744052	2
C₇×#3377	2
#11741142	2
#11741112	2
#11739183	2
#11739179	2
#11739125	2
#11739121	2
#11739105	2
D₇×#488	2
#11738676	2
#11738660	2
#11738614	2
#11738595	2
#11738579	2
#11738555	2
#11738047	2
#11738044	2
#11738026	2
#11738025	2
#11737924	2
#11737908	2
#11737416	2
#11737403	2
#11737275	2
#11737261	2
#11737220	2
#11737199	2
C₄×#6482	2
#11737149	2
#61331	7