Subgroups — #14250891

Order 1792.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743243	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743238	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2992	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737424	C₂	1	1	yes	maximal, characteristic, complemented
5	#11737420	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737419	C₂	1	1	yes	maximal, characteristic, complemented
7	#11737415	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736951	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736951	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736945	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736944	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736921	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736919	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736918	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736914	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736888	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736886	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736862	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736861	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736831	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736829	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736810	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736808	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736792	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736769	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736541	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736538	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736536	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736535	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736473	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736470	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#529	C₂²	1	1	yes	characteristic
33	#90401	—	2	1	no	—
34	#90401	—	2	1	no	—
35	#90397	—	2	1	no	—
36	D₇×#126	—	2	1	no	—
37	#90385	—	2	1	no	—
38	#90384	—	2	1	no	—
39	#90370	—	2	1	no	—
40	#90368	—	2	1	no	—
41	#90358	—	2	1	no	—
42	#90358	—	2	1	no	—
43	#90352	—	2	1	no	—
44	#90350	—	2	1	no	—
45	#90329	—	2	1	no	—
46	#90319	—	2	1	no	—
47	#90304	—	2	1	no	—
48	#90299	—	2	1	no	—
49	#90275	C₂²	1	1	yes	characteristic
50	#90270	C₂²	1	1	yes	characteristic
51	#90270	C₂²	1	1	yes	characteristic, complemented
52	Q₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
53	#90256	C₂²	1	1	yes	characteristic
54	#90256	C₂²	1	1	yes	characteristic
55	#90256	C₂²	1	1	yes	characteristic, complemented
56	#90254	C₂²	1	1	yes	characteristic
57	#90254	C₂²	1	1	yes	characteristic
58	#90254	C₂²	1	1	yes	characteristic, complemented
59	#90246	C₂²	1	1	yes	characteristic
60	#90242	C₂²	1	1	yes	characteristic
61	#90241	C₂²	1	1	yes	characteristic
62	#90241	C₂²	1	1	yes	characteristic
63	#90233	C₂²	1	1	yes	characteristic
64	#90232	C₂²	1	1	yes	characteristic
65	#90226	C₂²	1	1	yes	characteristic
66	#90226	C₂²	1	1	yes	characteristic, complemented
67	#90225	C₂²	1	1	yes	characteristic
68	#90214	C₂²	1	1	yes	characteristic
69	#90212	C₂²	1	1	yes	characteristic
70	#90210	C₂²	1	1	yes	characteristic
71	#90210	C₂²	1	1	yes	characteristic, complemented
72	#90209	C₂²	1	1	yes	characteristic
73	#90170	C₂²	1	1	yes	characteristic
74	#90168	C₂²	1	1	yes	characteristic, complemented
75	C₄×#1157	C₂²	1	1	yes	characteristic
76	#90161	C₂²	1	1	yes	characteristic, complemented
77	C₇×#446	C₂²	1	1	yes	characteristic, complemented
78	C₇×#446	C₂²	1	1	yes	characteristic, complemented
79	C₇×#435	C₂²	1	1	yes	characteristic
80	C₇×#435	C₂²	1	1	yes	characteristic
81	C₇×#435	C₂²	1	1	yes	characteristic
82	C₇×#435	C₂²	1	1	yes	characteristic, complemented
83	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
84	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
85	C₇×#433	C₂²	1	1	yes	characteristic
86	C₇×#433	C₂²	1	1	yes	characteristic, complemented
87	C₇×#432	C₂²	1	1	yes	characteristic, complemented
88	C₇×#424	C₂²	1	1	yes	characteristic
89	C₇×#424	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
91	#89907	C₂²	1	1	yes	characteristic
92	#89906	C₂²	1	1	yes	characteristic
93	#89906	C₂²	1	1	yes	characteristic
94	#89906	C₂²	1	1	yes	characteristic, complemented
95	#89905	C₂²	1	1	yes	characteristic
96	#89903	C₂²	1	1	yes	characteristic
97	#89893	C₂²	1	1	yes	characteristic
98	#89893	C₂²	1	1	yes	characteristic, complemented
99	#89887	C₂²	1	1	yes	characteristic
100	#89887	C₂²	1	1	yes	characteristic
101	#89887	C₂²	1	1	yes	characteristic
102	#89886	C₂²	1	1	yes	characteristic
103	#89886	C₂²	1	1	yes	characteristic
104	#89886	C₂²	1	1	yes	characteristic, complemented
105	#89886	C₂²	1	1	yes	characteristic, complemented
106	#89886	C₂²	1	1	yes	characteristic, complemented
107	#89885	C₂²	1	1	yes	characteristic
108	#89885	C₂²	1	1	yes	characteristic
109	#89885	C₂²	1	1	yes	characteristic
110	C₂×#6395	C₂²	1	1	yes	characteristic
111	#89878	C₂²	1	1	yes	characteristic
112	#89878	C₂²	1	1	yes	characteristic, complemented
113	#89878	C₂²	1	1	yes	characteristic, complemented
114	C₂×#6392	C₂²	1	1	yes	characteristic, complemented
115	#89623	C₂²	1	1	yes	characteristic, complemented
116	#89623	C₂²	1	1	yes	characteristic, complemented
117	#89622	C₂²	1	1	yes	characteristic, complemented
118	#89622	C₂²	1	1	yes	characteristic, complemented
119	#89622	C₂²	1	1	yes	characteristic, complemented
120	#89620	C₂²	1	1	yes	characteristic, complemented
121	#89620	C₂²	1	1	yes	characteristic, complemented
122	#89619	C₂²	1	1	yes	characteristic
123	#89619	C₂²	1	1	yes	characteristic
124	#89619	C₂²	1	1	yes	characteristic
125	#89619	C₂²	1	1	yes	characteristic
126	#89619	C₂²	1	1	yes	characteristic
127	#89619	C₂²	1	1	yes	characteristic
128	#89619	C₂²	1	1	yes	characteristic
129	#89619	C₂²	1	1	yes	characteristic, complemented
130	#89619	C₂²	1	1	yes	characteristic, complemented
131	#89619	C₂²	1	1	yes	characteristic, complemented
132	#89619	C₂²	1	1	yes	characteristic, complemented
133	#89618	C₂²	1	1	yes	characteristic
134	#89618	C₂²	1	1	yes	characteristic
135	#89618	C₂²	1	1	yes	characteristic
136	#89618	C₂²	1	1	yes	characteristic
137	#89618	C₂²	1	1	yes	characteristic, complemented
138	#89616	C₂²	1	1	yes	characteristic
139	#89616	C₂²	1	1	yes	characteristic
140	#89616	C₂²	1	1	yes	characteristic
141	#89616	C₂²	1	1	yes	characteristic
142	#89615	C₂²	1	1	yes	characteristic
143	#89615	C₂²	1	1	yes	characteristic
144	#89614	C₂²	1	1	yes	characteristic
145	#89614	C₂²	1	1	yes	characteristic
146	#89614	C₂²	1	1	yes	characteristic
147	#89614	C₂²	1	1	yes	characteristic, complemented
148	#89613	C₂²	1	1	yes	characteristic, complemented
149	#89613	C₂²	1	1	yes	characteristic, complemented
150	#89601	C₂²	1	1	yes	characteristic, complemented
151	#89601	C₂²	1	1	yes	characteristic, complemented
152	#89601	C₂²	1	1	yes	characteristic, complemented
153	#89601	C₂²	1	1	yes	characteristic, complemented
154	#89601	C₂²	1	1	yes	characteristic, complemented
155	#89509	C₂²	1	1	yes	characteristic
156	#89509	C₂²	1	1	yes	characteristic
157	#89509	C₂²	1	1	yes	characteristic
158	#89509	C₂²	1	1	yes	characteristic
159	#89509	C₂²	1	1	yes	characteristic
160	#89509	C₂²	1	1	yes	characteristic, complemented
161	#89509	C₂²	1	1	yes	characteristic, complemented
162	#89508	C₂²	1	1	yes	characteristic, complemented
163	#89507	C₂²	1	1	yes	characteristic
164	#89507	C₂²	1	1	yes	characteristic, complemented
165	#89506	C₂²	1	1	yes	characteristic
166	#89506	C₂²	1	1	yes	characteristic
167	#89506	C₂²	1	1	yes	characteristic
168	#89506	C₂²	1	1	yes	characteristic
169	#89504	C₂²	1	1	yes	characteristic
170	#89504	C₂²	1	1	yes	characteristic
171	#89495	C₂²	1	1	yes	characteristic
172	#89495	C₂²	1	1	yes	characteristic
173	#89495	C₂²	1	1	yes	characteristic, complemented
174	#89495	C₂²	1	1	yes	characteristic, complemented
175	#89495	C₂²	1	1	yes	characteristic, complemented
176	#89494	C₂²	1	1	yes	characteristic
177	#89493	C₂²	1	1	yes	characteristic
178	#89493	C₂²	1	1	yes	characteristic, complemented
179	#89486	C₂²	1	1	yes	characteristic
180	#89486	C₂²	1	1	yes	characteristic
181	#89486	C₂²	1	1	yes	characteristic
182	#89483	C₂²	1	1	yes	characteristic
183	#89483	C₂²	1	1	yes	characteristic
184	#89483	C₂²	1	1	yes	characteristic
185	#89483	C₂²	1	1	yes	characteristic
186	#89483	C₂²	1	1	yes	characteristic
187	#89482	C₂²	1	1	yes	characteristic, complemented
188	#89482	C₂²	1	1	yes	characteristic, complemented
189	#89482	C₂²	1	1	yes	characteristic, complemented
190	#89475	C₂²	1	1	yes	characteristic, complemented
191	#89474	C₂²	1	1	yes	characteristic, complemented
192	#89474	C₂²	1	1	yes	characteristic, complemented
193	#89474	C₂²	1	1	yes	characteristic, complemented
194	#89474	C₂²	1	1	yes	characteristic, complemented
195	#89469	C₂²	1	1	yes	characteristic
196	C₄×D₅₆	C₂²	1	1	yes	characteristic
197	C₄×D₅₆	C₂²	1	1	yes	characteristic
198	C₄×D₅₆	C₂²	1	1	yes	characteristic
199	C₄×#1132	C₂²	1	1	yes	characteristic, complemented
200	#89455	C₂²	1	1	yes	characteristic, complemented
201	#89453	C₂²	1	1	yes	characteristic, complemented
202	#89452	C₂²	1	1	yes	characteristic, complemented
203	#62171	—	7	1	no	maximal, Sylow
204	C₂×Q₈×D₇	—	2	1	no	—
205	C₂×#1159	—	2	1	no	—
206	C₂×#1157	—	2	1	no	—
207	C₂×#1157	C₂³	1	1	yes	characteristic
208	C₂×#1157	C₂³	1	1	yes	characteristic
209	C₂²×D₂₈	C₂³	1	1	yes	characteristic
210	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
212	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
213	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
215	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
216	C₇×#126	D₄	1	1	yes	characteristic
217	C₇×#126	D₄	1	1	yes	characteristic
218	C₇×#125	D₄	1	1	yes	characteristic
219	C₇×#124	D₄	1	1	yes	characteristic
220	C₇×#123	D₄	1	1	yes	characteristic
221	C₇×#123	D₄	1	1	yes	characteristic
222	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
223	C₇×#121	D₄	1	1	yes	characteristic
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
226	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
227	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₇×#117	C₂³	1	1	yes	characteristic
229	C₇×#117	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
231	#6509	—	2	1	no	—
232	#6509	—	2	1	no	—
233	#6509	—	2	1	no	—
234	#6502	—	2	1	no	—
235	#6502	—	2	1	no	—
236	#6502	—	2	1	no	—
237	#6501	—	2	1	no	—
238	#6501	—	2	1	no	—
239	#6501	—	2	1	no	—
240	#6501	—	2	1	no	—
241	#6500	—	2	1	no	—
242	#6500	—	2	1	no	—
243	#6499	—	2	1	no	—
244	#6498	—	2	1	no	—
245	#6493	—	2	1	no	—
246	#6493	C₂³	1	1	yes	characteristic
247	#6493	C₂³	1	1	yes	characteristic
248	#6493	C₂³	1	1	yes	characteristic
249	#6493	C₂³	1	1	yes	characteristic
250	#6493	C₂³	1	1	yes	characteristic
251	#6493	C₂³	1	1	yes	characteristic
252	#6493	C₂³	1	1	yes	characteristic
253	#6493	C₂³	1	1	yes	characteristic
254	#6492	—	2	1	no	—
255	C₄×C₂²⋊D₇	—	2	1	no	—
256	C₄×C₂²⋊D₇	—	2	1	no	—
257	C₄×C₂²⋊D₇	—	2	1	no	—
258	#6489	C₂³	1	1	yes	characteristic
259	#6489	C₂³	1	1	yes	characteristic
260	#6489	C₂³	1	1	yes	characteristic
261	#6489	C₂³	1	1	yes	characteristic
262	#6489	C₂³	1	1	yes	characteristic
263	#6489	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
267	#6487	—	2	1	no	—
268	#6487	—	2	1	no	—
269	#6487	C₂³	1	1	yes	characteristic
270	#6487	C₂³	1	1	yes	characteristic
271	#6487	C₂³	1	1	yes	characteristic
272	#6487	C₂³	1	1	yes	characteristic
273	C₂×D₅₆	C₂³	1	1	yes	characteristic
274	C₂×D₅₆	C₂³	1	1	yes	characteristic
275	C₂×D₅₆	C₂³	1	1	yes	characteristic
276	C₂×D₅₆	C₂³	1	1	yes	characteristic
277	C₂×#1132	C₂³	1	1	yes	characteristic
278	C₂×#1132	C₂³	1	1	yes	characteristic
279	C₂×#1132	C₂³	1	1	yes	characteristic
280	C₂×#1132	C₂³	1	1	yes	characteristic
281	#6461	—	2	1	no	—
282	#6461	—	2	1	no	—
283	#6461	—	2	1	no	—
284	#6461	—	2	1	no	—
285	#6461	—	2	1	no	—
286	#6461	—	2	1	no	—
287	#6460	—	2	1	no	—
288	#6460	—	2	1	no	—
289	#6460	—	2	1	no	—
290	#6460	—	2	1	no	—
291	#6459	—	2	1	no	—
292	#6459	—	2	1	no	—
293	#6459	—	2	1	no	—
294	#6459	—	2	1	no	—
295	#6459	—	2	1	no	—
296	#6457	—	2	1	no	—
297	#6457	—	2	1	no	—
298	#6457	—	2	1	no	—
299	#6457	—	2	1	no	—
300	#6457	—	2	1	no	—
301	#6457	—	2	1	no	—
302	#6456	—	2	1	no	—
303	#6456	—	2	1	no	—
304	#6455	—	2	1	no	—
305	#6455	—	2	1	no	—
306	#6455	—	2	1	no	—
307	#6455	—	2	1	no	—
308	#6455	—	2	1	no	—
309	D₇×C₄⋊C₄	—	2	1	no	—
310	D₇×C₄⋊C₄	—	2	1	no	—
311	D₇×C₄⋊C₄	—	2	1	no	—
312	D₇×C₄⋊C₄	—	2	1	no	—
313	#6453	—	2	1	no	—
314	#6453	—	2	1	no	—
315	#6452	—	2	1	no	—
316	#6452	—	2	1	no	—
317	#6452	—	2	1	no	—
318	#6451	—	2	1	no	—
319	#6451	—	2	1	no	—
320	#6450	—	2	1	no	—
321	#6449	—	2	1	no	—
322	#6449	—	2	1	no	—
323	#6448	—	2	1	no	—
324	#6448	—	2	1	no	—
325	#6448	—	2	1	no	—
326	#6448	—	2	1	no	—
327	#6448	—	2	1	no	—
328	#6448	—	2	1	no	—
329	#6448	—	2	1	no	—
330	#6447	—	2	1	no	—
331	#6447	—	2	1	no	—
332	#6447	—	2	1	no	—
333	#6447	—	2	1	no	—
334	#6447	—	2	1	no	—
335	#6447	—	2	1	no	—
336	#6446	—	2	1	no	—
337	#6446	—	2	1	no	—
338	#6446	—	2	1	no	—
339	#6446	—	2	1	no	—
340	#6446	—	2	1	no	—
341	#6446	—	2	1	no	—
342	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
343	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
344	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
345	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
346	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
347	D₇×C₂²⋊C₄	—	2	1	no	—
348	D₇×C₂²⋊C₄	—	2	1	no	—
349	D₇×C₂²⋊C₄	—	2	1	no	—
350	D₇×C₂²⋊C₄	—	2	1	no	—
351	#6442	—	2	1	no	—
352	#6442	—	2	1	no	—
353	#6442	—	2	1	no	—
354	#6442	—	2	1	no	—
355	#6442	—	2	1	no	—
356	#6441	—	2	1	no	—
357	#6441	—	2	1	no	—
358	#6441	—	2	1	no	—
359	#6441	—	2	1	no	—
360	#6440	—	2	1	no	—
361	#6439	—	2	1	no	—
362	#6438	—	2	1	no	—
363	#6438	C₂³	1	1	yes	characteristic
364	#6438	C₂³	1	1	yes	characteristic
365	#6437	C₂³	1	1	yes	characteristic
366	C₄×D₂₈	—	2	1	no	—
367	C₄×D₂₈	C₂³	1	1	yes	characteristic
368	C₄×D₂₈	C₂³	1	1	yes	characteristic
369	C₄×D₂₈	C₂³	1	1	yes	characteristic
370	C₄×D₂₈	C₂³	1	1	yes	characteristic
371	C₄×D₂₈	C₂³	1	1	yes	characteristic
372	C₄×D₂₈	C₂³	1	1	yes	characteristic
373	C₄×D₂₈	C₂³	1	1	yes	characteristic
374	C₄×D₂₈	C₂³	1	1	yes	characteristic
375	C₄×D₂₈	C₂³	1	1	yes	characteristic
376	C₄×D₂₈	C₂³	1	1	yes	characteristic
377	C₄×D₂₈	C₂³	1	1	yes	characteristic
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	#6435	—	2	1	no	—
380	#6435	—	2	1	no	—
381	C₄²×D₇	—	2	1	no	—
382	#6433	C₂³	1	1	yes	characteristic
383	#6433	C₂³	1	1	yes	characteristic
384	#6433	C₂³	1	1	yes	characteristic
385	#6433	C₂³	1	1	yes	characteristic
386	#6433	C₂³	1	1	yes	characteristic
387	#6433	C₂³	1	1	yes	characteristic
388	#6432	C₂³	1	1	yes	characteristic
389	#6432	C₂³	1	1	yes	characteristic
390	#6432	C₂³	1	1	yes	characteristic
391	#6432	C₂³	1	1	yes	characteristic
392	#6432	C₂³	1	1	yes	characteristic
393	#6432	C₂³	1	1	yes	characteristic
394	#6432	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₄	—	2	1	no	—
396	C₄×Dic₁₄	—	2	1	no	—
397	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
401	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₇×C₄⋊C₈	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
412	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
413	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
414	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₇×#97	C₂³	1	1	yes	characteristic
418	C₇×#97	C₂³	1	1	yes	characteristic
419	C₇×#97	C₂³	1	1	yes	characteristic
420	C₇×#97	C₂³	1	1	yes	characteristic
421	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
422	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
423	#6395	C₂³	1	1	yes	characteristic
424	#6395	C₂³	1	1	yes	characteristic
425	#6395	C₂³	1	1	yes	characteristic
426	#6395	C₂³	1	1	yes	characteristic
427	#6395	C₂³	1	1	yes	characteristic
428	#6395	C₂³	1	1	yes	characteristic
429	#6395	C₂³	1	1	yes	characteristic
430	#6395	C₂³	1	1	yes	characteristic
431	#6395	C₂³	1	1	yes	characteristic
432	#6395	C₂³	1	1	yes	characteristic
433	#6395	C₂³	1	1	yes	characteristic
434	#6395	C₂³	1	1	yes	characteristic
435	#6395	C₂³	1	1	yes	characteristic
436	#6395	C₂³	1	1	yes	characteristic
437	#6395	C₂³	1	1	yes	characteristic
438	#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	#6395	C₂³	1	1	yes	characteristic
443	#6392	C₂³	1	1	yes	characteristic
444	#6392	C₂³	1	1	yes	characteristic
445	#6392	C₂³	1	1	yes	characteristic
446	#6392	C₂³	1	1	yes	characteristic
447	#6392	C₂³	1	1	yes	characteristic
448	#6392	C₂³	1	1	yes	characteristic
449	#6392	C₂³	1	1	yes	characteristic
450	#6392	C₂³	1	1	yes	characteristic
451	#6392	C₂³	1	1	yes	characteristic
452	#6392	C₂³	1	1	yes	characteristic
453	#6392	C₂³	1	1	yes	characteristic
454	#6392	C₂³	1	1	yes	characteristic
455	#6391	C₂³	1	1	yes	characteristic
456	#6391	C₂³	1	1	yes	characteristic
457	#6391	C₂³	1	1	yes	characteristic
458	#6391	C₂³	1	1	yes	characteristic
459	#6391	C₂³	1	1	yes	characteristic
460	#6391	C₂³	1	1	yes	characteristic
461	#6391	C₂³	1	1	yes	characteristic
462	#6391	C₂³	1	1	yes	characteristic
463	#6391	C₂³	1	1	yes	characteristic
464	#6391	C₂³	1	1	yes	characteristic
465	#6391	C₂³	1	1	yes	characteristic
466	#6391	C₂³	1	1	yes	characteristic
467	#6390	C₂³	1	1	yes	characteristic
468	#6390	C₂³	1	1	yes	characteristic
469	#6390	C₂³	1	1	yes	characteristic
470	#6390	C₂³	1	1	yes	characteristic
471	#6390	C₂³	1	1	yes	characteristic
472	#6390	C₂³	1	1	yes	characteristic
473	#6390	C₂³	1	1	yes	characteristic
474	#6390	C₂³	1	1	yes	characteristic
475	#6390	C₂³	1	1	yes	characteristic
476	#6390	C₂³	1	1	yes	characteristic
477	#6390	C₂³	1	1	yes	characteristic
478	#6390	C₂³	1	1	yes	characteristic
479	#3547	—	7	1	no	—
480	#3521	—	7	1	no	—
481	#3389	—	7	1	no	—
482	#3384	—	7	1	no	—
483	#3376	—	7	1	no	—
484	#3367	—	7	1	no	—
485	#3350	—	7	1	no	—
486	#3348	—	7	1	no	—
487	#3347	—	7	1	no	—
488	#3343	—	7	1	no	—
489	#3340	—	7	1	no	—
490	#3339	—	7	1	no	—
491	#3319	—	7	1	no	—
492	#3319	—	7	1	no	—
493	#3307	—	7	1	no	—
494	#3306	—	7	1	no	—
495	#3303	—	7	1	no	—
496	#3297	—	7	1	no	—
497	#3260	—	7	1	no	—
498	#3257	—	7	1	no	—
499	#3247	—	7	1	no	—
500	#3244	—	7	1	no	—
501	#3242	—	7	1	no	—
502	#3240	—	7	1	no	—
503	#3122	—	7	1	no	—
504	#3119	—	7	1	no	—
505	#3115	—	7	1	no	—
506	#3083	—	7	1	no	—
507	#3081	—	7	1	no	—
508	#3076	—	7	1	no	—
509	#2992	D₇	1	1	yes	characteristic, complemented
510	C₂³×D₇	—	2	1	no	—
511	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
512	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
513	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
514	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
517	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₇	—	2	1	no	—
521	C₂×C₂²⋊D₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂×C₂²⋊D₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂×C₂²⋊D₇	—	2	1	no	—
528	C₂×C₂²⋊D₇	—	2	1	no	—
529	C₂×C₂²⋊D₇	—	2	1	no	—
530	C₂²×Dic₇	—	2	1	no	—
531	C₂²×Dic₇	—	2	1	no	—
532	C₂²×Dic₇	—	2	1	no	—
533	Q₈×D₇	—	8	2	no	—
534	#1159	—	8	2	no	—
535	#1157	—	2	2	no	—
536	#1157	—	2	2	no	—
537	#1157	—	4	1	no	—
538	#1157	—	4	1	no	—
539	#1157	—	8	2	no	—
540	C₂×D₂₈	—	2	2	no	—
541	C₂×D₂₈	—	2	1	no	—
542	C₂×D₂₈	—	2	1	no	—
543	C₂×D₂₈	—	2	1	no	—
544	C₂×D₂₈	—	4	1	no	—
545	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
546	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
547	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
548	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₇	—	2	1	no	—
550	C₂×C₄×D₇	—	2	1	no	—
551	C₂×C₄×D₇	—	2	1	no	—
552	C₂×C₄×D₇	—	2	1	no	—
553	C₂×C₄×D₇	—	2	1	no	—
554	C₂×C₄×D₇	—	2	1	no	—
555	C₂×C₄×D₇	—	2	1	no	—
556	C₂×C₄×D₇	—	2	1	no	—
557	C₂×C₄×D₇	—	2	1	no	—
558	C₂×C₄×D₇	—	2	1	no	—
559	C₂×C₄×D₇	—	2	1	no	—
560	C₂×C₄×D₇	—	2	1	no	—
561	C₂×C₄×D₇	—	2	1	no	—
562	C₂×C₄×D₇	—	2	1	no	—
563	C₂×Dic₁₄	—	2	1	no	—
564	C₂×Dic₁₄	—	2	1	no	—
565	C₂×Dic₁₄	—	2	1	no	—
566	C₂×Dic₁₄	—	2	1	no	—
567	C₂×Dic₁₄	—	2	1	no	—
568	C₂×Dic₁₄	—	2	1	no	—
569	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
571	C₇×M₁₆	—	4	1	no	—
572	C₇×M₁₆	—	4	1	no	—
573	C₂×C₇×C₈	—	4	1	no	—
574	C₂×C₇×C₈	—	4	1	no	—
575	C₂×C₇×C₈	—	4	1	no	—
576	C₂×C₇×C₈	—	4	1	no	—
577	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
606	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₇	C₂⁴	1	1	yes	characteristic
608	C₄²×C₇	C₂⁴	1	1	yes	characteristic
609	C₄²×C₇	C₂⁴	1	1	yes	characteristic
610	C₄²×C₇	C₂⁴	1	1	yes	characteristic
611	C₂²⋊Dic₇	—	2	1	no	—
612	C₂²⋊Dic₇	—	2	1	no	—
613	C₂²⋊Dic₇	—	2	1	no	—
614	C₂²⋊Dic₇	—	2	1	no	—
615	C₂²⋊Dic₇	—	2	1	no	—
616	C₂²⋊Dic₇	—	2	1	no	—
617	C₂²⋊Dic₇	—	2	1	no	—
618	C₂²⋊Dic₇	—	2	1	no	—
619	C₂²⋊Dic₇	—	2	1	no	—
620	C₂²⋊Dic₇	—	2	1	no	—
621	(C₂×D₇)⋊C₄	—	2	1	no	—
622	(C₂×D₇)⋊C₄	—	2	1	no	—
623	(C₂×D₇)⋊C₄	—	2	1	no	—
624	(C₂×D₇)⋊C₄	—	2	1	no	—
625	(C₂×D₇)⋊C₄	—	2	1	no	—
626	(C₂×D₇)⋊C₄	—	2	1	no	—
627	(C₂×D₇)⋊C₄	—	2	1	no	—
628	(C₂×D₇)⋊C₄	—	2	1	no	—
629	(C₂×D₇)⋊C₄	—	2	1	no	—
630	(C₂×D₇)⋊C₄	—	2	1	no	—
631	(C₂×D₇)⋊C₄	—	2	1	no	—
632	(C₂×D₇)⋊C₄	—	2	1	no	—
633	(C₂×D₇)⋊C₄	—	2	1	no	—
634	(C₂×D₇)⋊C₄	—	2	1	no	—
635	(C₂×D₇)⋊C₄	—	2	1	no	—
636	(C₂×D₇)⋊C₄	—	2	1	no	—
637	(C₂×D₇)⋊C₄	—	2	1	no	—
638	(C₂×D₇)⋊C₄	—	2	1	no	—
639	(C₂×D₇)⋊C₄	—	2	1	no	—
640	(C₂×D₇)⋊C₄	—	2	1	no	—
641	(C₂×D₇)⋊C₄	—	2	1	no	—
642	(C₂×D₇)⋊C₄	—	2	1	no	—
643	(C₂×D₇)⋊C₄	—	2	1	no	—
644	(C₂×D₇)⋊C₄	—	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	—	2	1	no	—
651	C₄⋊Dic₇	—	2	1	no	—
652	C₄⋊Dic₇	—	2	1	no	—
653	C₄⋊Dic₇	—	2	1	no	—
654	C₄⋊Dic₇	—	2	1	no	—
655	C₄⋊Dic₇	—	2	1	no	—
656	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
666	Dic₇⋊C₄	—	2	1	no	—
667	Dic₇⋊C₄	—	2	1	no	—
668	Dic₇⋊C₄	—	2	1	no	—
669	Dic₇⋊C₄	—	2	1	no	—
670	Dic₇⋊C₄	—	2	1	no	—
671	Dic₇⋊C₄	—	2	1	no	—
672	Dic₇⋊C₄	—	2	1	no	—
673	Dic₇⋊C₄	—	2	1	no	—
674	Dic₇⋊C₄	—	2	1	no	—
675	Dic₇⋊C₄	—	2	1	no	—
676	Dic₇⋊C₄	—	2	1	no	—
677	Dic₇⋊C₄	—	2	1	no	—
678	Dic₇⋊C₄	—	2	1	no	—
679	Dic₇⋊C₄	—	2	1	no	—
680	Dic₇⋊C₄	—	2	1	no	—
681	Dic₇⋊C₄	—	2	1	no	—
682	Dic₇⋊C₄	—	2	1	no	—
683	Dic₇⋊C₄	—	2	1	no	—
684	Dic₇⋊C₄	—	2	1	no	—
685	Dic₇⋊C₄	—	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	—	2	1	no	—
694	C₄×Dic₇	—	2	1	no	—
695	C₄×Dic₇	—	2	1	no	—
696	D₅₆	—	2	2	no	—
697	D₅₆	—	2	2	no	—
698	D₅₆	—	4	1	no	—
699	D₅₆	—	4	1	no	—
700	#1132	—	4	1	no	—
701	#1132	—	4	1	no	—
702	#1132	—	4	1	no	—
703	#1132	—	4	1	no	—
704	#562	—	14	1	no	—
705	#562	—	14	1	no	—
706	#556	—	7	1	no	—
707	#556	—	7	1	no	—
708	#555	—	7	1	no	—
709	#555	—	7	1	no	—
710	#555	—	7	1	no	—
711	#554	—	7	1	no	—
712	#554	—	7	1	no	—
713	#553	—	7	1	no	—
714	#553	—	7	1	no	—
715	#553	—	7	1	no	—
716	#553	—	14	1	no	—
717	#552	—	7	1	no	—
718	#552	—	14	1	no	—
719	#552	—	14	1	no	—
720	#551	—	14	1	no	—
721	#551	—	14	1	no	—
722	D₄×Q₈	—	7	1	no	—
723	#548	—	14	1	no	—
724	#547	—	7	1	no	—
725	#547	—	7	1	no	—
726	#546	—	7	1	no	—
727	#546	—	7	1	no	—
728	#544	—	7	1	no	—
729	#544	—	7	1	no	—
730	#542	—	7	1	no	—
731	#542	—	14	1	no	—
732	#542	—	14	1	no	—
733	#541	—	7	1	no	—
734	#540	—	7	1	no	—
735	#540	—	7	1	no	—
736	#539	—	14	1	no	—
737	#538	—	14	1	no	—
738	#537	—	14	1	no	—
739	#536	—	14	1	no	—
740	#533	—	7	1	no	—
741	#532	—	7	1	no	—
742	#529	—	7	1	no	—
743	#529	—	14	1	no	—
744	#529	C₂×D₇	1	1	yes	characteristic
745	C₂×#126	—	14	1	no	—
746	#520	—	7	1	no	—
747	#518	—	7	1	no	—
748	C₄×#41	—	7	1	no	—
749	#501	—	7	1	no	—
750	#501	—	7	1	no	—
751	#501	—	7	1	no	—
752	#501	—	7	1	no	—
753	#499	—	7	1	no	—
754	#498	—	7	1	no	—
755	#491	—	7	1	no	—
756	#489	—	7	1	no	—
757	#489	—	7	1	no	—
758	#489	—	7	1	no	—
759	#488	—	7	1	no	—
760	#487	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#484	—	7	1	no	—
767	#483	—	7	1	no	—
768	#483	—	7	1	no	—
769	#482	—	7	1	no	—
770	#482	—	7	1	no	—
771	#482	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	—	7	1	no	—
774	#482	—	7	1	no	—
775	#482	—	7	1	no	—
776	#481	—	7	1	no	—
777	#481	—	7	1	no	—
778	#480	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#478	—	7	1	no	—
785	#478	—	7	1	no	—
786	#478	—	7	1	no	—
787	#478	—	7	1	no	—
788	#478	—	7	1	no	—
789	#478	—	7	1	no	—
790	#478	—	7	1	no	—
791	#478	—	7	1	no	—
792	#478	—	7	1	no	—
793	#478	—	7	1	no	—
794	#478	—	7	1	no	—
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#476	—	7	1	no	—
801	#476	—	7	1	no	—
802	#475	—	7	1	no	—
803	#475	—	7	1	no	—
804	#474	—	7	1	no	—
805	#474	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#474	—	7	1	no	—
809	#469	—	7	1	no	—
810	#468	—	7	1	no	—
811	#468	—	7	1	no	—
812	#468	—	7	1	no	—
813	#466	—	7	1	no	—
814	#466	—	7	1	no	—
815	#466	—	7	1	no	—
816	#465	—	7	1	no	—
817	#465	—	7	1	no	—
818	#465	—	7	1	no	—
819	#465	—	7	1	no	—
820	#465	—	7	1	no	—
821	#463	—	7	1	no	—
822	#463	—	7	1	no	—
823	#463	—	7	1	no	—
824	#463	—	7	1	no	—
825	#461	—	7	1	no	—
826	#461	—	7	1	no	—
827	#460	—	7	1	no	—
828	#460	—	7	1	no	—
829	#459	—	7	1	no	—
830	#459	—	7	1	no	—
831	#449	—	7	1	no	—
832	#449	—	7	1	no	—
833	#449	—	7	1	no	—
834	#449	—	7	1	no	—
835	#447	—	7	1	no	—
836	#447	—	7	1	no	—
837	#446	C₂×D₇	1	1	yes	characteristic, complemented
838	#446	C₂×D₇	1	1	yes	characteristic, complemented
839	#442	—	7	1	no	—
840	#442	—	7	1	no	—
841	#442	—	7	1	no	—
842	#442	—	7	1	no	—
843	#442	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	—	7	1	no	—
847	C₄×SD₁₆	—	7	1	no	—
848	C₄×D₈	—	7	1	no	—
849	C₄×D₈	—	7	1	no	—
850	C₄×D₈	—	7	1	no	—
851	#435	C₂×D₇	1	1	yes	characteristic
852	#435	C₂×D₇	1	1	yes	characteristic
853	#435	C₂×D₇	1	1	yes	characteristic
854	#435	C₂×D₇	1	1	yes	characteristic, complemented
855	C₈×D₄	C₂×D₇	1	1	yes	characteristic
856	C₈×D₄	C₂×D₇	1	1	yes	characteristic, complemented
857	#433	C₂×D₇	1	1	yes	characteristic
858	#433	C₂×D₇	1	1	yes	characteristic, complemented
859	#432	C₂×D₇	1	1	yes	characteristic, complemented
860	#428	—	7	1	no	—
861	#428	—	7	1	no	—
862	#427	—	7	1	no	—
863	#427	—	7	1	no	—
864	#427	—	7	1	no	—
865	C₂×#107	—	7	1	no	—
866	#424	C₂×D₇	1	1	yes	characteristic
867	#424	C₂×D₇	1	1	yes	characteristic, complemented
868	C₂×C₄⋊C₈	C₂×D₇	1	1	yes	characteristic, complemented
869	#418	—	7	1	no	—
870	#417	—	7	1	no	—
871	#416	—	7	1	no	—
872	#416	—	7	1	no	—
873	#416	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
876	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
877	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
878	C₂²×D₇	—	2	1	no	—
879	C₂²×D₇	—	2	1	no	—
880	C₂²×D₇	—	2	1	no	—
881	C₂²×D₇	—	2	1	no	—
882	C₂²×D₇	—	4	2	no	—
883	C₂²×D₇	—	8	1	no	—
884	C₂²×D₇	—	8	1	no	—
885	C₇×Q₈	—	4	1	no	—
886	C₇×D₄	—	4	1	no	—
887	C₇×D₄	—	4	1	no	—
888	C₇×D₄	—	4	1	no	—
889	C₂×C₄×C₇	—	2	1	no	—
890	C₂×C₄×C₇	—	2	1	no	—
891	C₂×C₄×C₇	—	2	1	no	—
892	C₂×C₄×C₇	—	2	1	no	—
893	C₂×C₄×C₇	—	2	1	no	—
894	C₂×C₄×C₇	—	2	1	no	—
895	C₂×C₄×C₇	—	4	1	no	—
896	C₂×C₄×C₇	—	4	1	no	—
897	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
898	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
899	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
909	C₂²⋊D₇	—	4	2	no	—
910	C₂²⋊D₇	—	4	2	no	—
911	C₂²⋊D₇	—	8	1	no	—
912	C₂²⋊D₇	—	8	1	no	—
913	C₂²⋊D₇	—	8	1	no	—
914	C₂²⋊D₇	—	8	1	no	—
915	C₂²⋊D₇	—	8	1	no	—
916	C₂²⋊D₇	—	8	1	no	—
917	C₂²⋊D₇	—	8	1	no	—
918	C₂²⋊D₇	—	8	1	no	—
919	C₂×Dic₇	—	2	1	no	—
920	C₂×Dic₇	—	2	1	no	—
921	C₂×Dic₇	—	2	1	no	—
922	C₂×Dic₇	—	2	1	no	—
923	C₂×Dic₇	—	2	1	no	—
924	C₂×Dic₇	—	2	1	no	—
925	C₂×Dic₇	—	2	1	no	—
926	C₂×Dic₇	—	2	1	no	—
927	C₂×Dic₇	—	2	1	no	—
928	C₂×Dic₇	—	2	1	no	—
929	C₂×Dic₇	—	2	1	no	—
930	C₂×Dic₇	—	2	1	no	—
931	C₂×Dic₇	—	8	1	no	—
932	C₂×Dic₇	—	8	1	no	—
933	C₂×Dic₇	—	8	1	no	—
934	D₂₈	—	2	1	no	—
935	D₂₈	—	2	1	no	—
936	D₂₈	—	2	1	no	—
937	D₂₈	—	2	1	no	—
938	D₂₈	—	2	1	no	—
939	D₂₈	—	2	1	no	—
940	D₂₈	—	2	1	no	—
941	D₂₈	—	4	2	no	—
942	D₂₈	—	8	1	no	—
943	D₂₈	—	8	1	no	—
944	D₂₈	2₋¹⁺⁴	1	2	yes	—
945	C₄×D₇	—	4	2	no	—
946	C₄×D₇	—	4	2	no	—
947	C₄×D₇	—	4	2	no	—
948	C₄×D₇	—	4	2	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	—	8	1	no	—
956	C₄×D₇	—	8	1	no	—
957	C₄×D₇	—	8	1	no	—
958	C₄×D₇	—	8	1	no	—
959	Dic₁₄	—	2	1	no	—
960	Dic₁₄	—	2	1	no	—
961	Dic₁₄	—	2	1	no	—
962	Dic₁₄	—	2	1	no	—
963	Dic₁₄	—	4	2	no	—
964	Dic₁₄	—	8	1	no	—
965	Dic₁₄	—	8	1	no	—
966	Dic₁₄	—	8	1	no	—
967	Dic₁₄	—	8	1	no	—
968	Dic₁₄	—	8	1	no	—
969	C₇×C₈	—	2	1	no	—
970	C₇×C₈	—	2	1	no	—
971	C₇×C₈	—	2	1	no	—
972	C₇×C₈	—	2	1	no	—
973	C₇×C₈	—	2	1	no	—
974	C₇×C₈	—	2	1	no	—
975	C₇×C₈	—	2	1	no	—
976	C₇×C₈	—	2	1	no	—
977	C₂×#41	—	7	1	no	—
978	C₂×#41	—	7	1	no	—
979	C₂×#41	—	14	1	no	—
980	C₂×#41	—	14	1	no	—
981	C₂²×Q₈	—	14	1	no	—
982	C₂²×D₄	—	7	1	no	—
983	C₂×SD₁₆	—	7	1	no	—
984	C₂×SD₁₆	—	7	1	no	—
985	C₂×SD₁₆	—	7	1	no	—
986	C₂×SD₁₆	—	7	1	no	—
987	C₂×D₈	—	7	1	no	—
988	C₂×D₈	—	7	1	no	—
989	C₂×D₈	—	7	1	no	—
990	C₂×D₈	—	7	1	no	—
991	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
992	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
993	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
994	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
995	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
996	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
997	C₄⋊Q₈	—	7	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	#127	—	7	1	no	—
1007	#126	—	14	1	no	—
1008	#126	—	14	1	no	—
1009	#126	—	14	1	no	—
1010	#126	—	14	1	no	—
1011	#126	—	14	1	no	—
1012	#126	—	14	1	no	—
1013	#126	—	14	1	no	—
1014	#126	—	14	1	no	—
1015	#126	—	14	1	no	—
1016	#126	—	14	1	no	—
1017	#126	—	14	1	no	—
1018	#126	—	14	1	no	—
1019	#126	D₂₈	1	1	yes	characteristic
1020	#126	D₂₈	1	1	yes	characteristic
1021	#125	—	7	1	no	—
1022	#125	—	7	1	no	—
1023	#125	—	7	1	no	—
1024	#125	—	7	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	—	14	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	D₂₈	1	1	yes	characteristic
1033	#124	—	7	1	no	—
1034	#124	—	7	1	no	—
1035	#124	—	14	1	no	—
1036	#124	—	14	1	no	—
1037	#124	—	14	1	no	—
1038	#124	—	14	1	no	—
1039	#124	—	14	1	no	—
1040	#124	—	14	1	no	—
1041	#124	—	14	1	no	—
1042	#124	—	14	1	no	—
1043	#124	—	14	1	no	—
1044	#124	D₂₈	1	1	yes	characteristic
1045	#123	—	14	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	#123	—	14	1	no	—
1061	#123	D₂₈	1	1	yes	characteristic
1062	#123	D₂₈	1	1	yes	characteristic
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	—	14	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	—	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	D₂₈	1	1	yes	characteristic
1086	#121	—	7	1	no	—
1087	#121	—	7	1	no	—
1088	#121	—	7	1	no	—
1089	#121	—	7	1	no	—
1090	#121	—	7	1	no	—
1091	#121	—	7	1	no	—
1092	#121	—	7	1	no	—
1093	#121	—	7	1	no	—
1094	#121	—	14	1	no	—
1095	#121	—	14	1	no	—
1096	#121	—	14	1	no	—
1097	#121	—	14	1	no	—
1098	#121	—	14	1	no	—
1099	#121	—	14	1	no	—
1100	#121	—	14	1	no	—
1101	#121	—	14	1	no	—
1102	#121	—	14	1	no	—
1103	#121	—	14	1	no	—
1104	#121	—	14	1	no	—
1105	#121	—	14	1	no	—
1106	#121	—	14	1	no	—
1107	#121	—	14	1	no	—
1108	#121	D₂₈	1	1	yes	characteristic
1109	#120	—	14	1	no	—
1110	#120	—	14	1	no	—
1111	C₄×Q₈	—	7	1	no	—
1112	C₄×Q₈	—	7	1	no	—
1113	C₄×Q₈	—	7	1	no	—
1114	C₄×Q₈	—	7	1	no	—
1115	C₄×Q₈	—	14	1	no	—
1116	C₄×Q₈	—	14	1	no	—
1117	C₄×Q₈	—	14	1	no	—
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	—	7	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	C₂²×D₇	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1145	#117	—	7	1	no	—
1146	#117	—	7	1	no	—
1147	#117	—	7	1	no	—
1148	#117	—	7	1	no	—
1149	#117	—	7	1	no	—
1150	#117	—	7	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	#117	C₂²×D₇	1	1	yes	characteristic
1160	#117	C₂²×D₇	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	—	7	1	no	—
1162	C₂×C₄⋊C₄	—	7	1	no	—
1163	C₂×C₄⋊C₄	—	7	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×C₂²⋊C₄	—	14	1	no	—
1169	C₂×C₂²⋊C₄	—	14	1	no	—
1170	C₂×C₂²⋊C₄	—	14	1	no	—
1171	C₂×C₂²⋊C₄	—	14	1	no	—
1172	C₂×C₄²	—	14	1	no	—
1173	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1174	#107	—	7	1	no	—
1175	#107	—	7	1	no	—
1176	#107	—	7	1	no	—
1177	#107	—	7	1	no	—
1178	#107	—	7	1	no	—
1179	#107	—	7	1	no	—
1180	#107	—	7	1	no	—
1181	#107	—	7	1	no	—
1182	#107	—	7	1	no	—
1183	#107	—	7	1	no	—
1184	#107	—	7	1	no	—
1185	#107	—	7	1	no	—
1186	#106	—	7	1	no	—
1187	#106	—	7	1	no	—
1188	#106	—	7	1	no	—
1189	#106	—	7	1	no	—
1190	#106	—	7	1	no	—
1191	#106	—	7	1	no	—
1192	#106	—	7	1	no	—
1193	#106	—	7	1	no	—
1194	#106	—	7	1	no	—
1195	#106	—	7	1	no	—
1196	#106	—	7	1	no	—
1197	#106	—	7	1	no	—
1198	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1199	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1200	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1201	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1202	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1203	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1204	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1205	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1206	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1207	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1208	#103	—	7	1	no	—
1209	#103	—	7	1	no	—
1210	#103	—	7	1	no	—
1211	#103	—	7	1	no	—
1212	#103	—	7	1	no	—
1213	#103	—	7	1	no	—
1214	#103	—	7	1	no	—
1215	#103	—	7	1	no	—
1216	#103	—	7	1	no	—
1217	#103	—	7	1	no	—
1218	#103	—	7	1	no	—
1219	#103	—	7	1	no	—
1220	#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	—	7	1	no	—
1238	#102	—	7	1	no	—
1239	#102	—	7	1	no	—
1240	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1241	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1242	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1244	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1245	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1246	#97	C₂²×D₇	1	1	yes	characteristic
1247	#97	C₂²×D₇	1	1	yes	characteristic
1248	#97	C₂²×D₇	1	1	yes	characteristic
1249	#97	C₂²×D₇	1	1	yes	characteristic
1250	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1251	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1252	C₂²×C₇	—	2	1	no	—
1253	C₂²×C₇	—	2	1	no	—
1254	C₂²×C₇	—	2	1	no	—
1255	C₂²×C₇	—	2	1	no	—
1256	C₂²×C₇	—	2	1	no	—
1257	C₂²×C₇	—	2	1	no	—
1258	C₂²×C₇	—	2	1	no	—
1259	C₂²×C₇	—	2	1	no	—
1260	C₂²×C₇	—	2	1	no	—
1261	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1262	C₂×D₇	—	2	2	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	—	4	1	no	—
1268	C₂×D₇	—	4	1	no	—
1269	C₂×D₇	—	4	1	no	—
1270	C₂×D₇	—	4	1	no	—
1271	C₂×D₇	—	4	1	no	—
1272	C₂×D₇	—	4	1	no	—
1273	C₂×D₇	—	4	1	no	—
1274	C₂×D₇	—	16	2	no	—
1275	C₄×C₇	—	2	1	no	—
1276	C₄×C₇	—	2	1	no	—
1277	C₄×C₇	—	2	1	no	—
1278	C₄×C₇	—	2	1	no	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	2	1	no	—
1283	C₄×C₇	—	2	1	no	—
1284	C₄×C₇	—	2	1	no	—
1285	C₄×C₇	—	2	1	no	—
1286	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1287	C₄×C₇	#585	1	1	yes	characteristic
1288	Dic₇	—	4	1	no	—
1289	Dic₇	—	4	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	—	4	1	no	—
1296	Dic₇	—	4	1	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	C₂⁴	—	14	1	no	—
1301	#41	—	14	2	no	—
1302	#41	—	14	2	no	—
1303	#41	—	28	1	no	—
1304	#41	—	28	1	no	—
1305	#41	—	56	2	no	—
1306	#41	—	56	2	no	—
1307	C₂×Q₈	—	7	1	no	—
1308	C₂×Q₈	—	7	1	no	—
1309	C₂×Q₈	—	14	1	no	—
1310	C₂×Q₈	—	14	1	no	—
1311	C₂×Q₈	—	14	1	no	—
1312	C₂×Q₈	—	14	1	no	—
1313	C₂×Q₈	—	14	1	no	—
1314	C₂×Q₈	—	14	1	no	—
1315	C₂×Q₈	—	56	2	no	—
1316	C₂×Q₈	C₂×D₂₈	1	1	yes	characteristic
1317	C₂×D₄	—	7	1	no	—
1318	C₂×D₄	—	7	1	no	—
1319	C₂×D₄	—	7	1	no	—
1320	C₂×D₄	—	7	1	no	—
1321	C₂×D₄	—	14	2	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	—	14	1	no	—
1328	C₂×D₄	—	14	1	no	—
1329	C₂×D₄	—	14	1	no	—
1330	C₂×D₄	—	14	1	no	—
1331	C₂×D₄	—	14	1	no	—
1332	C₂×D₄	—	14	1	no	—
1333	C₂×D₄	—	14	1	no	—
1334	C₂×D₄	—	14	1	no	—
1335	C₂×D₄	—	28	1	no	—
1336	C₂×D₄	C₂×D₂₈	1	1	yes	characteristic
1337	C₂×D₄	C₂×D₂₈	1	1	yes	characteristic
1338	C₂×D₄	C₂×D₂₈	1	1	yes	characteristic
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	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	C₂×D₂₈	1	1	yes	characteristic
1357	C₂²×C₄	C₂×D₂₈	1	1	yes	characteristic
1358	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1359	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1360	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1361	SD₁₆	—	28	1	no	—
1362	SD₁₆	—	28	1	no	—
1363	SD₁₆	—	28	1	no	—
1364	SD₁₆	—	28	1	no	—
1365	D₈	—	14	2	no	—
1366	D₈	—	14	2	no	—
1367	D₈	—	28	1	no	—
1368	D₈	—	28	1	no	—
1369	M₁₆	—	4	1	no	—
1370	M₁₆	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	—	4	1	no	—
1373	C₂×C₈	—	4	1	no	—
1374	C₂×C₈	—	4	1	no	—
1375	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1376	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1377	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1378	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1379	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1380	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1381	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1382	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1383	C₄⋊C₄	—	7	1	no	—
1384	C₄⋊C₄	—	7	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	—	14	1	no	—
1394	C₄⋊C₄	—	14	1	no	—
1395	C₄⋊C₄	—	14	1	no	—
1396	C₄⋊C₄	—	14	1	no	—
1397	C₄⋊C₄	—	14	1	no	—
1398	C₄⋊C₄	—	14	1	no	—
1399	C₄⋊C₄	—	14	1	no	—
1400	C₄⋊C₄	—	14	1	no	—
1401	C₄⋊C₄	—	14	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	—	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	C₂×D₂₈	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1428	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1429	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1430	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1431	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1432	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1433	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1434	C₂²⋊C₄	—	14	1	no	—
1435	C₂²⋊C₄	—	14	1	no	—
1436	C₂²⋊C₄	—	14	1	no	—
1437	C₂²⋊C₄	—	14	1	no	—
1438	C₂²⋊C₄	—	14	1	no	—
1439	C₂²⋊C₄	—	14	1	no	—
1440	C₂²⋊C₄	—	14	1	no	—
1441	C₂²⋊C₄	—	14	1	no	—
1442	C₂²⋊C₄	—	14	1	no	—
1443	C₂²⋊C₄	—	14	1	no	—
1444	C₂²⋊C₄	—	14	1	no	—
1445	C₂²⋊C₄	—	14	1	no	—
1446	C₂²⋊C₄	—	14	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	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	C₂×D₂₈	1	1	yes	characteristic
1469	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1470	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1471	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1472	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1473	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1478	C₄²	—	14	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	C₂×D₂₈	1	1	yes	characteristic
1489	C₄²	C₂×D₂₈	1	1	yes	characteristic
1490	C₄²	C₂³×D₇	1	1	yes	characteristic
1491	C₄²	C₂³×D₇	1	1	yes	characteristic
1492	C₄²	C₂³×D₇	1	1	yes	characteristic
1493	C₄²	C₂³×D₇	1	1	yes	characteristic
1494	C₂×C₇	—	4	1	no	—
1495	C₂×C₇	—	4	1	no	—
1496	C₂×C₇	—	4	1	no	—
1497	C₂×C₇	#3489	1	1	yes	characteristic
1498	C₂×C₇	#3584	1	1	yes	characteristic
1499	C₂×C₇	#3585	1	1	yes	characteristic
1500	D₇	—	4	2	no	—
1501	D₇	—	8	1	no	—
1502	D₇	—	8	1	no	—
1503	D₇	—	8	1	no	—
1504	C₂³	—	14	1	no	—
1505	C₂³	—	14	1	no	—
1506	C₂³	—	14	1	no	—
1507	C₂³	—	14	1	no	—
1508	C₂³	—	28	2	no	—
1509	C₂³	—	56	1	no	—
1510	C₂³	—	56	1	no	—
1511	C₂³	C₂²×D₂₈	1	1	yes	characteristic
1512	C₂³	C₂²×D₂₈	1	1	yes	characteristic
1513	C₂³	C₂²×D₂₈	1	1	yes	characteristic
1514	Q₈	—	4	1	no	—
1515	Q₈	—	14	1	no	—
1516	Q₈	—	14	1	no	—
1517	Q₈	—	14	1	no	—
1518	Q₈	—	14	1	no	—
1519	Q₈	—	28	2	no	—
1520	Q₈	—	56	1	no	—
1521	Q₈	—	56	1	no	—
1522	Q₈	—	56	1	no	—
1523	Q₈	—	56	1	no	—
1524	Q₈	—	56	1	no	—
1525	D₄	—	4	1	no	—
1526	D₄	—	4	1	no	—
1527	D₄	—	4	1	no	—
1528	D₄	—	7	2	no	—
1529	D₄	—	14	1	no	—
1530	D₄	—	14	1	no	—
1531	D₄	—	14	1	no	—
1532	D₄	—	14	1	no	—
1533	D₄	—	14	1	no	—
1534	D₄	—	14	1	no	—
1535	D₄	—	14	1	no	—
1536	D₄	—	28	2	no	—
1537	D₄	—	28	2	no	—
1538	D₄	—	28	2	no	—
1539	D₄	—	56	1	no	—
1540	D₄	—	56	1	no	—
1541	D₄	—	56	1	no	—
1542	D₄	—	56	1	no	—
1543	D₄	—	56	1	no	—
1544	D₄	—	56	1	no	—
1545	D₄	—	56	1	no	—
1546	D₄	—	56	1	no	—
1547	D₄	—	56	1	no	—
1548	D₄	—	56	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	—	4	1	no	—
1556	C₂×C₄	—	4	1	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	—	14	1	no	—
1563	C₂×C₄	—	14	1	no	—
1564	C₂×C₄	—	14	1	no	—
1565	C₂×C₄	—	14	1	no	—
1566	C₂×C₄	—	14	1	no	—
1567	C₂×C₄	—	14	1	no	—
1568	C₂×C₄	—	14	1	no	—
1569	C₂×C₄	—	28	2	no	—
1570	C₂×C₄	—	28	2	no	—
1571	C₂×C₄	—	28	2	no	—
1572	C₂×C₄	—	28	2	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	—	56	1	no	—
1580	C₂×C₄	—	56	1	no	—
1581	C₂×C₄	—	56	1	no	—
1582	C₂×C₄	—	56	1	no	—
1583	C₂×C₄	—	56	1	no	—
1584	C₂×C₄	—	56	1	no	—
1585	C₂×C₄	—	56	1	no	—
1586	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1587	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1588	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1589	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1590	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1591	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1592	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1593	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1594	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1595	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1596	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1597	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1598	C₈	—	2	1	no	—
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₇	#62171	1	1	yes	characteristic, complemented, Sylow
1607	C₂²	—	2	1	no	—
1608	C₂²	—	2	1	no	—
1609	C₂²	—	2	1	no	—
1610	C₂²	—	2	1	no	—
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	—	14	2	no	—
1617	C₂²	—	28	1	no	—
1618	C₂²	—	28	1	no	—
1619	C₂²	—	28	1	no	—
1620	C₂²	—	28	1	no	—
1621	C₂²	—	28	1	no	—
1622	C₂²	—	28	1	no	—
1623	C₂²	—	28	1	no	—
1624	C₂²	—	28	1	no	—
1625	C₂²	—	28	1	no	—
1626	C₂²	—	28	1	no	—
1627	C₂²	—	28	1	no	—
1628	C₂²	—	112	2	no	—
1629	C₂²	C₂³×D₂₈	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	28	1	no	—
1642	C₄	—	28	1	no	—
1643	C₄	—	28	1	no	—
1644	C₄	—	28	1	no	—
1645	C₄	—	28	1	no	—
1646	C₄	—	28	1	no	—
1647	C₄	—	28	1	no	—
1648	C₄	—	28	1	no	—
1649	C₄	—	28	1	no	—
1650	C₄	—	28	1	no	—
1651	C₄	—	28	1	no	—
1652	C₄	—	28	1	no	—
1653	C₄	#90618	1	1	yes	characteristic
1654	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1655	C₂	—	4	1	no	—
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	28	2	no	—
1659	C₂	—	56	1	no	—
1660	C₂	—	56	1	no	—
1661	C₂	—	56	1	no	—
1662	C₂	#11742969	1	1	yes	characteristic
1663	C₂	#11744231	1	1	yes	characteristic
1664	C₂	#11744235	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₂₈
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#2992	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#2992	D₇
hypocenter	C₇	#62171
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #2992

Complements

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

N	H ≅ G/N	type
1. #11743243	C₂	semidirect
2. #11743238	C₂	semidirect
3. C₇×#2992	C₂	semidirect
4. #11737424	C₂	semidirect
5. #11737420	C₂	semidirect
6. #11737419	C₂	semidirect
7. #11737415	C₂	semidirect
8. #11736951	C₂	semidirect
9. #11736951	C₂	semidirect
10. #11736945	C₂	semidirect
11. #11736944	C₂	semidirect
12. #11736921	C₂	semidirect
13. #11736919	C₂	semidirect
14. #11736918	C₂	semidirect
15. #11736914	C₂	semidirect
16. #11736888	C₂	semidirect
17. #11736886	C₂	semidirect
18. #11736862	C₂	semidirect
19. #11736861	C₂	semidirect
20. #11736831	C₂	semidirect
21. #11736829	C₂	semidirect
22. #11736810	C₂	semidirect
23. #11736808	C₂	semidirect
24. #11736792	C₂	semidirect
25. #11736769	C₂	semidirect
26. #11736541	C₂	semidirect
27. #11736538	C₂	semidirect
28. #11736536	C₂	semidirect
29. #11736535	C₂	semidirect
30. #11736473	C₂	semidirect
31. #11736470	C₂	semidirect
51. #90270	C₂²	semidirect
52. Q₈×D₂₈	C₂²	semidirect
55. #90256	C₂²	semidirect
58. #90254	C₂²	semidirect
66. #90226	C₂²	semidirect
71. #90210	C₂²	semidirect
74. #90168	C₂²	semidirect
76. #90161	C₂²	semidirect
77. C₇×#446	C₂²	semidirect
78. C₇×#446	C₂²	semidirect
82. C₇×#435	C₂²	semidirect
84. C₇×C₈×D₄	C₂²	semidirect
86. C₇×#433	C₂²	semidirect
87. C₇×#432	C₂²	semidirect
89. C₇×#424	C₂²	semidirect
90. C₂×C₇×C₄⋊C₈	C₂²	semidirect
94. #89906	C₂²	semidirect
98. #89893	C₂²	semidirect
104. #89886	C₂²	semidirect
105. #89886	C₂²	semidirect
106. #89886	C₂²	semidirect
112. #89878	C₂²	semidirect
113. #89878	C₂²	semidirect
114. C₂×#6392	C₂²	semidirect
115. #89623	C₂²	semidirect
116. #89623	C₂²	semidirect
117. #89622	C₂²	semidirect
118. #89622	C₂²	semidirect
119. #89622	C₂²	semidirect
120. #89620	C₂²	semidirect
121. #89620	C₂²	semidirect
129. #89619	C₂²	semidirect
130. #89619	C₂²	semidirect
131. #89619	C₂²	semidirect
132. #89619	C₂²	semidirect
137. #89618	C₂²	semidirect
147. #89614	C₂²	semidirect
148. #89613	C₂²	semidirect
149. #89613	C₂²	semidirect
150. #89601	C₂²	semidirect
151. #89601	C₂²	semidirect
152. #89601	C₂²	semidirect
153. #89601	C₂²	semidirect
154. #89601	C₂²	semidirect
160. #89509	C₂²	semidirect
161. #89509	C₂²	semidirect
162. #89508	C₂²	semidirect
164. #89507	C₂²	semidirect
173. #89495	C₂²	semidirect
174. #89495	C₂²	semidirect
175. #89495	C₂²	semidirect
178. #89493	C₂²	semidirect
187. #89482	C₂²	semidirect
188. #89482	C₂²	semidirect
189. #89482	C₂²	semidirect
190. #89475	C₂²	semidirect
191. #89474	C₂²	semidirect
192. #89474	C₂²	semidirect
193. #89474	C₂²	semidirect
194. #89474	C₂²	semidirect
199. C₄×#1132	C₂²	semidirect
200. #89455	C₂²	semidirect
201. #89453	C₂²	semidirect
202. #89452	C₂²	semidirect
509. #2992	D₇	semidirect
837. #446	C₂×D₇	semidirect
838. #446	C₂×D₇	semidirect
854. #435	C₂×D₇	semidirect
856. C₈×D₄	C₂×D₇	semidirect
858. #433	C₂×D₇	semidirect
859. #432	C₂×D₇	semidirect
867. #424	C₂×D₇	semidirect
868. C₂×C₄⋊C₈	C₂×D₇	semidirect
1606. C₇	#62171	semidirect

Maximal subgroups

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

subgroup	index
#11743243	2
#11743238	2
C₇×#2992	2
#11737424	2
#11737420	2
#11737419	2
#11737415	2
#11736951	2
#11736945	2
#11736944	2
#11736921	2
#11736919	2
#11736918	2
#11736914	2
#11736888	2
#11736886	2
#11736862	2
#11736861	2
#11736831	2
#11736829	2
#11736810	2
#11736808	2
#11736792	2
#11736769	2
#11736541	2
#11736538	2
#11736536	2
#11736535	2
#11736473	2
#11736470	2
#62171	7