Subgroups — #14226158

Order 1792.

1626 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743649	C₂	1	1	yes	maximal, characteristic
2	D₇×#541	C₂	1	1	yes	maximal, characteristic
3	C₇×#3242	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740926	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740887	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739432	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739422	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739368	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739364	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739192	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739184	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739056	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739045	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738962	C₂	1	1	yes	maximal, characteristic
15	#11738962	C₂	1	1	yes	maximal, characteristic
16	#11738950	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738949	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738914	C₂	1	1	yes	maximal, characteristic
19	#11738905	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738873	C₂	1	1	yes	maximal, characteristic
21	#11738867	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738686	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738685	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738675	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738675	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738561	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738553	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738464	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738456	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736816	C₂	1	1	yes	maximal, characteristic
31	#11736808	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#541	C₂²	1	1	yes	characteristic
34	#90422	C₂²	1	1	yes	characteristic
35	#90420	—	2	1	no	—
36	#90420	C₂²	1	1	yes	characteristic
37	#90420	C₂²	1	1	yes	characteristic
38	#90419	—	2	1	no	—
39	#90419	C₂²	1	1	yes	characteristic
40	#90419	C₂²	1	1	yes	characteristic
41	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	D₇×#126	—	2	1	no	—
43	D₇×#126	—	2	1	no	—
44	#90392	—	2	1	no	—
45	#90392	—	2	1	no	—
46	#90388	C₂²	1	1	yes	characteristic
47	#90387	—	2	1	no	—
48	#90387	—	2	1	no	—
49	#90380	—	2	1	no	—
50	#90380	C₂²	1	1	yes	characteristic
51	#90380	C₂²	1	1	yes	characteristic
52	#90379	—	2	1	no	—
53	#90379	C₂²	1	1	yes	characteristic
54	#90379	C₂²	1	1	yes	characteristic
55	D₇×#125	—	2	1	no	—
56	D₇×#125	—	2	1	no	—
57	D₇×#125	C₂²	1	1	yes	characteristic
58	#90325	—	2	1	no	—
59	#90325	—	2	1	no	—
60	D₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	D₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	#90316	C₂²	1	1	yes	characteristic
63	#90316	C₂²	1	1	yes	characteristic
64	#90313	—	2	1	no	—
65	#90313	—	2	1	no	—
66	#90274	C₂²	1	1	yes	characteristic
67	#90274	C₂²	1	1	yes	characteristic
68	C₄×Q₈×D₇	C₂²	1	1	yes	characteristic
69	C₄×Q₈×D₇	C₂²	1	1	yes	characteristic
70	D₇×#117	C₂²	1	1	yes	characteristic
71	D₇×#117	C₂²	1	1	yes	characteristic
72	#90210	C₂²	1	1	yes	characteristic
73	#90210	C₂²	1	1	yes	characteristic
74	#90209	C₂²	1	1	yes	characteristic
75	C₂×#6455	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#499	C₂²	1	1	yes	characteristic, complemented
79	C₇×#491	C₂²	1	1	yes	characteristic, complemented
80	C₇×#487	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic
82	C₇×#485	C₂²	1	1	yes	characteristic
83	C₇×#484	C₂²	1	1	yes	characteristic
84	C₇×#483	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#479	C₂²	1	1	yes	characteristic, complemented
87	C₇×#477	C₂²	1	1	yes	characteristic, complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#433	C₂²	1	1	yes	characteristic
90	#89866	C₂²	1	1	yes	characteristic, complemented
91	#89865	C₂²	1	1	yes	characteristic, complemented
92	#89863	C₂²	1	1	yes	characteristic, complemented
93	#89854	C₂²	1	1	yes	characteristic, complemented
94	#89853	C₂²	1	1	yes	characteristic, complemented
95	#89852	C₂²	1	1	yes	characteristic, complemented
96	#89841	C₂²	1	1	yes	characteristic, complemented
97	#89837	C₂²	1	1	yes	characteristic, complemented
98	#89836	C₂²	1	1	yes	characteristic, complemented
99	#89836	C₂²	1	1	yes	characteristic, complemented
100	#89835	C₂²	1	1	yes	characteristic, complemented
101	#89835	C₂²	1	1	yes	characteristic, complemented
102	#89817	C₂²	1	1	yes	characteristic
103	#89817	C₂²	1	1	yes	characteristic
104	#89816	C₂²	1	1	yes	characteristic
105	#89815	C₂²	1	1	yes	characteristic
106	#89794	C₂²	1	1	yes	characteristic, complemented
107	#89794	C₂²	1	1	yes	characteristic, complemented
108	#89793	C₂²	1	1	yes	characteristic, complemented
109	#89792	C₂²	1	1	yes	characteristic, complemented
110	#89772	C₂²	1	1	yes	characteristic
111	#89768	C₂²	1	1	yes	characteristic
112	#89768	C₂²	1	1	yes	characteristic
113	#89743	C₂²	1	1	yes	characteristic
114	#89742	C₂²	1	1	yes	characteristic
115	#89660	C₂²	1	1	yes	characteristic
116	#89660	C₂²	1	1	yes	characteristic
117	#89656	C₂²	1	1	yes	characteristic
118	#89656	C₂²	1	1	yes	characteristic
119	#89653	C₂²	1	1	yes	characteristic
120	#89653	C₂²	1	1	yes	characteristic
121	#89653	C₂²	1	1	yes	characteristic
122	#89653	C₂²	1	1	yes	characteristic
123	#89650	C₂²	1	1	yes	characteristic, complemented
124	#89650	C₂²	1	1	yes	characteristic, complemented
125	#89649	C₂²	1	1	yes	characteristic, complemented
126	#89649	C₂²	1	1	yes	characteristic, complemented
127	#89648	C₂²	1	1	yes	characteristic, complemented
128	#89648	C₂²	1	1	yes	characteristic, complemented
129	#89647	C₂²	1	1	yes	characteristic, complemented
130	#89647	C₂²	1	1	yes	characteristic, complemented
131	#89639	C₂²	1	1	yes	characteristic
132	#89639	C₂²	1	1	yes	characteristic
133	#89634	C₂²	1	1	yes	characteristic
134	#89634	C₂²	1	1	yes	characteristic
135	#89633	C₂²	1	1	yes	characteristic
136	#89633	C₂²	1	1	yes	characteristic
137	#89633	C₂²	1	1	yes	characteristic
138	#89633	C₂²	1	1	yes	characteristic
139	#89630	C₂²	1	1	yes	characteristic, complemented
140	#89630	C₂²	1	1	yes	characteristic, complemented
141	#89629	C₂²	1	1	yes	characteristic, complemented
142	#89629	C₂²	1	1	yes	characteristic, complemented
143	#89628	C₂²	1	1	yes	characteristic, complemented
144	#89628	C₂²	1	1	yes	characteristic, complemented
145	#89626	C₂²	1	1	yes	characteristic, complemented
146	#89626	C₂²	1	1	yes	characteristic, complemented
147	#89623	C₂²	1	1	yes	characteristic, complemented
148	#89622	C₂²	1	1	yes	characteristic, complemented
149	#89612	C₂²	1	1	yes	characteristic
150	#89612	C₂²	1	1	yes	characteristic
151	#89609	C₂²	1	1	yes	characteristic
152	#89609	C₂²	1	1	yes	characteristic
153	#89601	C₂²	1	1	yes	characteristic, complemented
154	#89601	C₂²	1	1	yes	characteristic, complemented
155	#89587	C₂²	1	1	yes	characteristic
156	#89587	C₂²	1	1	yes	characteristic
157	#89586	C₂²	1	1	yes	characteristic
158	#89586	C₂²	1	1	yes	characteristic
159	#89581	C₂²	1	1	yes	characteristic
160	#89581	C₂²	1	1	yes	characteristic
161	#89577	C₂²	1	1	yes	characteristic
162	#89577	C₂²	1	1	yes	characteristic
163	#89574	C₂²	1	1	yes	characteristic
164	#89574	C₂²	1	1	yes	characteristic
165	#89574	C₂²	1	1	yes	characteristic
166	#89574	C₂²	1	1	yes	characteristic
167	#89574	C₂²	1	1	yes	characteristic
168	#89574	C₂²	1	1	yes	characteristic
169	#89574	C₂²	1	1	yes	characteristic
170	#89574	C₂²	1	1	yes	characteristic
171	#89571	C₂²	1	1	yes	characteristic, complemented
172	#89571	C₂²	1	1	yes	characteristic, complemented
173	#89569	C₂²	1	1	yes	characteristic, complemented
174	#89569	C₂²	1	1	yes	characteristic, complemented
175	#89569	C₂²	1	1	yes	characteristic, complemented
176	#89569	C₂²	1	1	yes	characteristic, complemented
177	#89568	C₂²	1	1	yes	characteristic, complemented
178	#89568	C₂²	1	1	yes	characteristic, complemented
179	#89566	C₂²	1	1	yes	characteristic, complemented
180	#89566	C₂²	1	1	yes	characteristic, complemented
181	#89564	C₂²	1	1	yes	characteristic, complemented
182	#89564	C₂²	1	1	yes	characteristic, complemented
183	#89564	C₂²	1	1	yes	characteristic, complemented
184	#89564	C₂²	1	1	yes	characteristic, complemented
185	#89563	C₂²	1	1	yes	characteristic, complemented
186	#89563	C₂²	1	1	yes	characteristic, complemented
187	#89498	C₂²	1	1	yes	characteristic
188	#89498	C₂²	1	1	yes	characteristic
189	#89495	C₂²	1	1	yes	characteristic
190	#89495	C₂²	1	1	yes	characteristic
191	#89494	C₂²	1	1	yes	characteristic
192	#89493	C₂²	1	1	yes	characteristic
193	#89492	C₂²	1	1	yes	characteristic
194	#89492	C₂²	1	1	yes	characteristic
195	#89481	C₂²	1	1	yes	characteristic
196	#89479	C₂²	1	1	yes	characteristic
197	#89475	C₂²	1	1	yes	characteristic, complemented
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	#89462	C₂²	1	1	yes	characteristic
200	C₄×#1131	C₂²	1	1	yes	characteristic
201	#89455	C₂²	1	1	yes	characteristic, complemented
202	#89453	C₂²	1	1	yes	characteristic, complemented
203	#60869	—	7	1	no	maximal, Sylow
204	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
207	C₇×C₄⋊Q₈	—	2	1	no	—
208	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₇×#126	—	2	1	no	—
212	C₇×#126	—	2	1	no	—
213	C₇×#125	—	2	1	no	—
214	C₇×#125	—	2	1	no	—
215	C₇×#125	—	2	1	no	—
216	C₇×#125	C₂³	1	1	yes	characteristic
217	C₇×#125	C₂³	1	1	yes	characteristic
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×C₂²⋊Q₈	—	2	1	no	—
220	C₇×C₂²⋊Q₈	—	2	1	no	—
221	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₇×#117	C₂³	1	1	yes	characteristic
226	C₇×#117	C₂³	1	1	yes	characteristic
227	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	#6509	—	2	1	no	—
229	#6509	—	2	1	no	—
230	#6509	—	2	1	no	—
231	#6509	—	2	1	no	—
232	#6509	C₂³	1	1	yes	characteristic
233	#6509	C₂³	1	1	yes	characteristic
234	Q₈×Dic₇	—	2	1	no	—
235	Q₈×Dic₇	—	2	1	no	—
236	Q₈×Dic₇	C₂³	1	1	yes	characteristic
237	Q₈×Dic₇	C₂³	1	1	yes	characteristic
238	#6507	—	2	1	no	—
239	#6507	—	2	1	no	—
240	#6507	C₂³	1	1	yes	characteristic
241	#6507	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
243	#6489	C₂³	1	1	yes	characteristic
244	#6489	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
246	#6487	—	2	1	no	—
247	#6487	—	2	1	no	—
248	#6487	C₂³	1	1	yes	characteristic
249	#6487	C₂³	1	1	yes	characteristic
250	C₂×C₄×Dic₇	—	2	1	no	—
251	C₂×#1131	C₂³	1	1	yes	characteristic
252	C₂×#1131	C₂³	1	1	yes	characteristic
253	C₂×#1131	C₂³	1	1	yes	characteristic
254	C₂×#1131	C₂³	1	1	yes	characteristic
255	#6461	—	2	1	no	—
256	#6461	—	2	1	no	—
257	#6461	—	2	1	no	—
258	#6461	—	2	1	no	—
259	#6461	—	2	1	no	—
260	#6461	—	2	1	no	—
261	#6460	—	2	1	no	—
262	#6460	—	2	1	no	—
263	#6460	—	2	1	no	—
264	#6460	—	2	1	no	—
265	#6460	C₂³	1	1	yes	characteristic
266	#6460	C₂³	1	1	yes	characteristic
267	#6459	—	2	1	no	—
268	#6459	—	2	1	no	—
269	#6459	—	2	1	no	—
270	#6459	—	2	1	no	—
271	#6459	—	2	1	no	—
272	#6459	—	2	1	no	—
273	#6459	—	2	1	no	—
274	#6459	—	2	1	no	—
275	#6459	—	2	1	no	—
276	#6459	—	2	1	no	—
277	#6455	—	2	1	no	—
278	#6455	—	2	1	no	—
279	#6455	D₄	1	1	yes	characteristic
280	#6455	D₄	1	1	yes	characteristic
281	#6455	C₂³	1	1	yes	characteristic
282	#6455	C₂³	1	1	yes	characteristic
283	#6455	C₂³	1	1	yes	characteristic
284	#6455	C₂³	1	1	yes	characteristic
285	#6455	C₂³	1	1	yes	characteristic
286	#6455	C₂³	1	1	yes	characteristic
287	D₇×C₄⋊C₄	—	2	1	no	—
288	D₇×C₄⋊C₄	—	2	1	no	—
289	D₇×C₄⋊C₄	—	2	1	no	—
290	D₇×C₄⋊C₄	—	2	1	no	—
291	D₇×C₄⋊C₄	—	2	1	no	—
292	D₇×C₄⋊C₄	—	2	1	no	—
293	D₇×C₄⋊C₄	—	2	1	no	—
294	D₇×C₄⋊C₄	—	2	1	no	—
295	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
296	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
297	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	#6453	—	2	1	no	—
302	#6453	—	2	1	no	—
303	#6453	—	2	1	no	—
304	#6453	—	2	1	no	—
305	#6453	—	2	1	no	—
306	#6453	—	2	1	no	—
307	#6453	C₂³	1	1	yes	characteristic
308	#6453	C₂³	1	1	yes	characteristic
309	#6453	C₂³	1	1	yes	characteristic
310	#6453	C₂³	1	1	yes	characteristic
311	#6453	C₂³	1	1	yes	characteristic
312	#6453	C₂³	1	1	yes	characteristic
313	#6452	—	2	1	no	—
314	#6452	—	2	1	no	—
315	#6452	—	2	1	no	—
316	#6452	—	2	1	no	—
317	#6452	—	2	1	no	—
318	#6452	—	2	1	no	—
319	#6452	—	2	1	no	—
320	#6452	—	2	1	no	—
321	#6452	—	2	1	no	—
322	#6452	—	2	1	no	—
323	#6452	—	2	1	no	—
324	#6452	—	2	1	no	—
325	#6452	—	2	1	no	—
326	#6452	—	2	1	no	—
327	#6451	—	2	1	no	—
328	#6451	—	2	1	no	—
329	#6451	—	2	1	no	—
330	#6451	—	2	1	no	—
331	#6451	—	2	1	no	—
332	#6451	—	2	1	no	—
333	#6451	C₂³	1	1	yes	characteristic
334	#6451	C₂³	1	1	yes	characteristic
335	#6451	C₂³	1	1	yes	characteristic
336	#6451	C₂³	1	1	yes	characteristic
337	#6450	—	2	1	no	—
338	#6450	—	2	1	no	—
339	#6450	—	2	1	no	—
340	#6450	—	2	1	no	—
341	#6450	—	2	1	no	—
342	#6450	—	2	1	no	—
343	#6450	—	2	1	no	—
344	#6450	—	2	1	no	—
345	#6450	C₂³	1	1	yes	characteristic
346	#6450	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
351	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
352	#6442	—	2	1	no	—
353	#6442	—	2	1	no	—
354	#6442	—	2	1	no	—
355	#6442	—	2	1	no	—
356	#6442	—	2	1	no	—
357	#6442	—	2	1	no	—
358	#6441	—	2	1	no	—
359	#6441	—	2	1	no	—
360	#6441	—	2	1	no	—
361	#6441	—	2	1	no	—
362	#6441	—	2	1	no	—
363	#6441	—	2	1	no	—
364	#6440	—	2	1	no	—
365	#6440	D₄	1	1	yes	characteristic
366	#6440	D₄	1	1	yes	characteristic
367	#6439	—	2	1	no	—
368	#6439	—	2	1	no	—
369	#6435	—	2	1	no	—
370	#6435	C₂³	1	1	yes	characteristic
371	#6435	C₂³	1	1	yes	characteristic
372	C₄²×D₇	—	2	1	no	—
373	C₄²×D₇	—	2	1	no	—
374	C₄²×D₇	—	2	1	no	—
375	C₄²×D₇	C₂³	1	1	yes	characteristic
376	C₄²×D₇	C₂³	1	1	yes	characteristic
377	#6433	—	2	1	no	—
378	#6433	—	2	1	no	—
379	#6433	—	2	1	no	—
380	#6433	C₂³	1	1	yes	characteristic
381	#6433	C₂³	1	1	yes	characteristic
382	#6433	C₂³	1	1	yes	characteristic
383	#6432	—	2	1	no	—
384	#6432	C₂³	1	1	yes	characteristic
385	#6432	C₂³	1	1	yes	characteristic
386	#6432	C₂³	1	1	yes	characteristic
387	C₄×Dic₁₄	—	2	1	no	—
388	C₄×Dic₁₄	—	2	1	no	—
389	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
390	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
391	C₇×#107	C₂³	1	1	yes	characteristic
392	C₇×#107	C₂³	1	1	yes	characteristic
393	C₇×#107	C₂³	1	1	yes	characteristic
394	C₇×#107	C₂³	1	1	yes	characteristic
395	C₇×#106	C₂³	1	1	yes	characteristic
396	C₇×#106	C₂³	1	1	yes	characteristic
397	C₇×#106	C₂³	1	1	yes	characteristic
398	C₇×#106	C₂³	1	1	yes	characteristic
399	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₇×#103	C₂³	1	1	yes	characteristic
402	C₇×#103	C₂³	1	1	yes	characteristic
403	C₇×#103	C₂³	1	1	yes	characteristic
404	C₇×#103	C₂³	1	1	yes	characteristic
405	C₇×#103	C₂³	1	1	yes	characteristic
406	C₇×#103	C₂³	1	1	yes	characteristic
407	C₇×#103	C₂³	1	1	yes	characteristic
408	C₇×#103	C₂³	1	1	yes	characteristic
409	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×#97	C₂³	1	1	yes	characteristic
412	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#6409	C₂³	1	1	yes	characteristic
417	#6409	C₂³	1	1	yes	characteristic
418	#6409	C₂³	1	1	yes	characteristic
419	#6409	C₂³	1	1	yes	characteristic
420	#6409	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
424	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
425	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
426	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
427	#6392	C₂³	1	1	yes	characteristic
428	#6392	C₂³	1	1	yes	characteristic
429	#6392	C₂³	1	1	yes	characteristic
430	#6392	C₂³	1	1	yes	characteristic
431	#6391	C₂³	1	1	yes	characteristic
432	#6391	C₂³	1	1	yes	characteristic
433	#6391	C₂³	1	1	yes	characteristic
434	#6391	C₂³	1	1	yes	characteristic
435	#6390	C₂³	1	1	yes	characteristic
436	#6390	C₂³	1	1	yes	characteristic
437	#6390	C₂³	1	1	yes	characteristic
438	#6390	C₂³	1	1	yes	characteristic
439	#6390	C₂³	1	1	yes	characteristic
440	#6390	C₂³	1	1	yes	characteristic
441	#6390	C₂³	1	1	yes	characteristic
442	#6390	C₂³	1	1	yes	characteristic
443	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	#6384	C₂³	1	1	yes	characteristic
452	#6384	C₂³	1	1	yes	characteristic
453	#6384	C₂³	1	1	yes	characteristic
454	#6384	C₂³	1	1	yes	characteristic
455	#6384	C₂³	1	1	yes	characteristic
456	#6384	C₂³	1	1	yes	characteristic
457	#6384	C₂³	1	1	yes	characteristic
458	#6384	C₂³	1	1	yes	characteristic
459	#6382	C₂³	1	1	yes	characteristic
460	#6382	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	#6381	C₂³	1	1	yes	characteristic
470	#6381	C₂³	1	1	yes	characteristic
471	#6381	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	#6381	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3458	—	7	1	no	—
480	C₂×#541	—	7	1	no	—
481	#3242	—	7	1	no	—
482	#3242	—	7	1	no	—
483	#3242	—	7	1	no	—
484	#3242	—	7	1	no	—
485	#3242	—	7	1	no	—
486	#3242	—	7	1	no	—
487	#3242	—	7	1	no	—
488	#3242	—	7	1	no	—
489	#3242	—	7	1	no	—
490	#3242	—	7	1	no	—
491	#3242	—	7	1	no	—
492	#3242	—	7	1	no	—
493	#3242	—	7	1	no	—
494	#3242	—	7	1	no	—
495	#3242	—	7	1	no	—
496	#3242	D₇	1	1	yes	characteristic, complemented
497	#3166	—	7	1	no	—
498	#3166	—	7	1	no	—
499	#3139	—	7	1	no	—
500	#3139	—	7	1	no	—
501	#3095	—	7	1	no	—
502	#3095	—	7	1	no	—
503	#3095	—	7	1	no	—
504	#3095	—	7	1	no	—
505	#3078	—	7	1	no	—
506	#3078	—	7	1	no	—
507	#3078	—	7	1	no	—
508	#3078	—	7	1	no	—
509	#2921	—	7	1	no	—
510	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇	—	2	1	no	—
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₇	—	2	1	no	—
518	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
519	Q₈×D₇	—	2	2	no	—
520	Q₈×D₇	—	2	2	no	—
521	Q₈×D₇	—	2	2	no	—
522	Q₈×D₇	—	2	2	no	—
523	C₂×C₄×D₇	—	2	2	no	—
524	C₂×C₄×D₇	—	2	2	no	—
525	C₂×C₄×D₇	—	2	1	no	—
526	C₂×C₄×D₇	—	2	1	no	—
527	C₂×C₄×D₇	—	2	1	no	—
528	C₂×C₄×D₇	—	2	1	no	—
529	C₂×C₄×D₇	—	2	1	no	—
530	C₂×C₄×D₇	—	2	1	no	—
531	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
532	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
533	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
534	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
535	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
536	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
537	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
539	C₂×Dic₁₄	—	2	1	no	—
540	C₂×Dic₁₄	—	2	1	no	—
541	C₂×Dic₁₄	—	2	1	no	—
542	C₂×Dic₁₄	—	2	1	no	—
543	C₂×Dic₁₄	—	2	1	no	—
544	C₂×Dic₁₄	—	2	1	no	—
545	C₂×Dic₁₄	—	2	1	no	—
546	C₂×Dic₁₄	—	2	1	no	—
547	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
548	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
550	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
553	C₇×C₄⋊C₄	—	2	1	no	—
554	C₇×C₄⋊C₄	—	2	1	no	—
555	C₇×C₄⋊C₄	—	2	1	no	—
556	C₇×C₄⋊C₄	—	2	1	no	—
557	C₇×C₄⋊C₄	—	2	1	no	—
558	C₇×C₄⋊C₄	—	2	1	no	—
559	C₇×C₄⋊C₄	—	2	1	no	—
560	C₇×C₄⋊C₄	—	2	1	no	—
561	C₇×C₄⋊C₄	—	2	1	no	—
562	C₇×C₄⋊C₄	—	2	1	no	—
563	C₇×C₄⋊C₄	—	2	1	no	—
564	C₇×C₄⋊C₄	—	2	1	no	—
565	C₇×C₄⋊C₄	—	2	1	no	—
566	C₇×C₄⋊C₄	—	2	1	no	—
567	C₇×C₄⋊C₄	—	2	1	no	—
568	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
570	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
574	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
575	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
576	C₇×C₂²⋊C₄	—	2	1	no	—
577	C₇×C₂²⋊C₄	—	2	1	no	—
578	C₇×C₂²⋊C₄	—	2	1	no	—
579	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₄²×C₇	—	2	1	no	—
582	C₄²×C₇	—	2	1	no	—
583	C₄²×C₇	—	2	1	no	—
584	C₄²×C₇	C₂⁴	1	1	yes	characteristic
585	C₄²×C₇	C₂⁴	1	1	yes	characteristic
586	C₂²⋊Dic₇	—	2	1	no	—
587	C₂²⋊Dic₇	—	2	1	no	—
588	C₂²⋊Dic₇	—	2	1	no	—
589	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
590	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
591	(C₂×D₇)⋊C₄	—	2	1	no	—
592	(C₂×D₇)⋊C₄	—	2	1	no	—
593	(C₂×D₇)⋊C₄	—	2	1	no	—
594	(C₂×D₇)⋊C₄	—	2	1	no	—
595	(C₂×D₇)⋊C₄	—	2	1	no	—
596	(C₂×D₇)⋊C₄	—	2	1	no	—
597	(C₂×D₇)⋊C₄	—	2	1	no	—
598	(C₂×D₇)⋊C₄	—	2	1	no	—
599	(C₂×D₇)⋊C₄	—	2	1	no	—
600	(C₂×D₇)⋊C₄	—	2	1	no	—
601	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
602	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
603	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
604	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₄⋊Dic₇	—	2	1	no	—
606	C₄⋊Dic₇	—	2	1	no	—
607	C₄⋊Dic₇	—	2	1	no	—
608	C₄⋊Dic₇	—	2	1	no	—
609	C₄⋊Dic₇	—	2	1	no	—
610	C₄⋊Dic₇	—	2	1	no	—
611	C₄⋊Dic₇	—	2	1	no	—
612	C₄⋊Dic₇	—	2	1	no	—
613	C₄⋊Dic₇	—	2	1	no	—
614	C₄⋊Dic₇	—	2	1	no	—
615	C₄⋊Dic₇	—	2	1	no	—
616	C₄⋊Dic₇	—	2	1	no	—
617	C₄⋊Dic₇	—	2	1	no	—
618	C₄⋊Dic₇	—	2	1	no	—
619	C₄⋊Dic₇	—	2	1	no	—
620	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
621	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
622	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
623	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
624	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
625	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
626	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
627	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
628	Dic₇⋊C₄	—	2	1	no	—
629	Dic₇⋊C₄	—	2	1	no	—
630	Dic₇⋊C₄	—	2	1	no	—
631	Dic₇⋊C₄	—	2	1	no	—
632	Dic₇⋊C₄	—	2	1	no	—
633	Dic₇⋊C₄	—	2	1	no	—
634	Dic₇⋊C₄	—	2	1	no	—
635	Dic₇⋊C₄	—	2	1	no	—
636	Dic₇⋊C₄	—	2	1	no	—
637	Dic₇⋊C₄	—	2	1	no	—
638	Dic₇⋊C₄	—	2	1	no	—
639	Dic₇⋊C₄	—	2	1	no	—
640	Dic₇⋊C₄	—	2	1	no	—
641	Dic₇⋊C₄	—	2	1	no	—
642	Dic₇⋊C₄	—	2	1	no	—
643	Dic₇⋊C₄	—	2	1	no	—
644	Dic₇⋊C₄	—	2	1	no	—
645	Dic₇⋊C₄	—	2	1	no	—
646	Dic₇⋊C₄	—	2	1	no	—
647	Dic₇⋊C₄	—	2	1	no	—
648	Dic₇⋊C₄	—	2	1	no	—
649	Dic₇⋊C₄	—	2	1	no	—
650	Dic₇⋊C₄	—	2	1	no	—
651	Dic₇⋊C₄	—	2	1	no	—
652	Dic₇⋊C₄	—	2	1	no	—
653	Dic₇⋊C₄	—	2	1	no	—
654	Dic₇⋊C₄	—	2	1	no	—
655	Dic₇⋊C₄	—	2	1	no	—
656	Dic₇⋊C₄	—	2	1	no	—
657	Dic₇⋊C₄	—	2	1	no	—
658	Dic₇⋊C₄	—	2	1	no	—
659	Dic₇⋊C₄	—	2	1	no	—
660	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
661	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
662	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
663	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₄×Dic₇	—	2	1	no	—
665	C₄×Dic₇	—	2	1	no	—
666	C₄×Dic₇	—	2	1	no	—
667	C₄×Dic₇	—	2	1	no	—
668	C₄×Dic₇	—	2	1	no	—
669	C₄×Dic₇	—	2	1	no	—
670	C₄×Dic₇	—	2	1	no	—
671	C₄×Dic₇	—	2	1	no	—
672	C₄×Dic₇	—	2	1	no	—
673	C₄×Dic₇	—	2	1	no	—
674	C₄×Dic₇	—	2	1	no	—
675	C₄×Dic₇	—	2	1	no	—
676	C₄×Dic₇	—	2	1	no	—
677	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
679	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
682	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
683	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
684	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
685	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
686	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
687	#1131	—	2	2	no	—
688	#1131	—	2	2	no	—
689	#1131	—	2	2	no	—
690	#1131	—	2	2	no	—
691	#544	—	7	1	no	—
692	#544	—	7	1	no	—
693	#544	—	7	1	no	—
694	#544	—	7	1	no	—
695	#544	—	7	1	no	—
696	#544	—	7	1	no	—
697	#544	—	7	1	no	—
698	#544	—	14	1	no	—
699	#544	—	14	1	no	—
700	#544	C₂×D₇	1	1	yes	characteristic
701	#543	—	14	1	no	—
702	#543	—	14	1	no	—
703	#541	—	7	1	no	—
704	#541	—	7	1	no	—
705	#541	—	7	1	no	—
706	#541	—	7	1	no	—
707	#541	—	7	1	no	—
708	#541	—	7	1	no	—
709	#541	—	7	1	no	—
710	#541	—	14	1	no	—
711	#541	—	14	1	no	—
712	#541	—	14	1	no	—
713	#541	—	14	1	no	—
714	#541	C₂×D₇	1	1	yes	characteristic
715	#533	—	7	1	no	—
716	#533	—	7	1	no	—
717	#533	—	7	1	no	—
718	#533	—	7	1	no	—
719	#533	—	14	1	no	—
720	#533	—	14	1	no	—
721	#533	—	14	1	no	—
722	#533	—	14	1	no	—
723	C₂×C₄⋊Q₈	—	7	1	no	—
724	C₂×#126	—	14	1	no	—
725	C₂×#126	—	14	1	no	—
726	C₂×#125	—	7	1	no	—
727	C₂×#125	—	14	1	no	—
728	C₂×#125	—	14	1	no	—
729	C₂×C₂²⋊Q₈	—	7	1	no	—
730	C₂×C₂²⋊Q₈	—	7	1	no	—
731	C₂×C₄×Q₈	—	7	1	no	—
732	C₂×C₄×Q₈	—	7	1	no	—
733	C₂×#117	—	7	1	no	—
734	C₂×#117	—	7	1	no	—
735	C₂×#117	—	7	1	no	—
736	#501	—	7	1	no	—
737	#501	—	7	1	no	—
738	#501	—	7	1	no	—
739	#501	—	7	1	no	—
740	#501	—	7	1	no	—
741	#501	—	7	1	no	—
742	#501	—	7	1	no	—
743	#501	C₂×D₇	1	1	yes	characteristic, complemented
744	#499	—	7	1	no	—
745	#499	—	7	1	no	—
746	#499	—	7	1	no	—
747	#499	—	7	1	no	—
748	#499	—	7	1	no	—
749	#499	—	7	1	no	—
750	#499	—	7	1	no	—
751	#499	C₂×D₇	1	1	yes	characteristic, complemented
752	#491	—	7	1	no	—
753	#491	—	7	1	no	—
754	#491	—	7	1	no	—
755	#491	—	7	1	no	—
756	#491	—	7	1	no	—
757	#491	—	7	1	no	—
758	#491	—	7	1	no	—
759	#491	C₂×D₇	1	1	yes	characteristic, complemented
760	#487	—	7	1	no	—
761	#487	—	7	1	no	—
762	#487	—	7	1	no	—
763	#487	—	7	1	no	—
764	#487	—	7	1	no	—
765	#487	—	7	1	no	—
766	#487	—	7	1	no	—
767	#487	C₂×D₇	1	1	yes	characteristic, complemented
768	#485	—	7	1	no	—
769	#485	—	7	1	no	—
770	#485	—	7	1	no	—
771	#485	—	7	1	no	—
772	#485	—	7	1	no	—
773	#485	—	7	1	no	—
774	#485	—	7	1	no	—
775	#485	—	7	1	no	—
776	#485	—	7	1	no	—
777	#485	—	7	1	no	—
778	#485	—	7	1	no	—
779	#485	—	7	1	no	—
780	#485	—	7	1	no	—
781	#485	—	7	1	no	—
782	#485	C₂×D₇	1	1	yes	characteristic
783	#485	C₂×D₇	1	1	yes	characteristic
784	#484	—	7	1	no	—
785	#484	—	7	1	no	—
786	#484	—	7	1	no	—
787	#484	—	7	1	no	—
788	#484	—	7	1	no	—
789	#484	—	7	1	no	—
790	#484	—	7	1	no	—
791	#484	C₂×D₇	1	1	yes	characteristic
792	#483	—	7	1	no	—
793	#483	—	7	1	no	—
794	#483	—	7	1	no	—
795	#483	—	7	1	no	—
796	#483	—	7	1	no	—
797	#483	—	7	1	no	—
798	#483	—	7	1	no	—
799	#483	C₂×D₇	1	1	yes	characteristic
800	#479	—	7	1	no	—
801	#479	—	7	1	no	—
802	#479	—	7	1	no	—
803	#479	—	7	1	no	—
804	#479	—	7	1	no	—
805	#479	—	7	1	no	—
806	#479	—	7	1	no	—
807	#479	—	7	1	no	—
808	#479	—	7	1	no	—
809	#479	—	7	1	no	—
810	#479	—	7	1	no	—
811	#479	—	7	1	no	—
812	#479	—	7	1	no	—
813	#479	—	7	1	no	—
814	#479	C₂×D₇	1	1	yes	characteristic, complemented
815	#479	C₂×D₇	1	1	yes	characteristic, complemented
816	#477	—	7	1	no	—
817	#477	—	7	1	no	—
818	#477	—	7	1	no	—
819	#477	—	7	1	no	—
820	#477	—	7	1	no	—
821	#477	—	7	1	no	—
822	#477	—	7	1	no	—
823	#477	C₂×D₇	1	1	yes	characteristic, complemented
824	#475	—	7	1	no	—
825	#475	—	7	1	no	—
826	#475	—	7	1	no	—
827	#475	—	7	1	no	—
828	#475	—	7	1	no	—
829	#475	—	7	1	no	—
830	#475	—	7	1	no	—
831	#475	C₂×D₇	1	1	yes	characteristic, complemented
832	#433	—	7	1	no	—
833	#433	—	7	1	no	—
834	#433	—	7	1	no	—
835	#433	—	7	1	no	—
836	#433	—	7	1	no	—
837	#433	—	7	1	no	—
838	#433	—	7	1	no	—
839	#433	C₂×D₇	1	1	yes	characteristic
840	#428	—	7	1	no	—
841	#428	—	7	1	no	—
842	#428	—	7	1	no	—
843	#428	—	7	1	no	—
844	#428	—	7	1	no	—
845	#428	—	7	1	no	—
846	#428	—	7	1	no	—
847	#428	—	7	1	no	—
848	#423	—	7	1	no	—
849	#423	—	7	1	no	—
850	#419	—	7	1	no	—
851	#419	—	7	1	no	—
852	#419	—	7	1	no	—
853	#419	—	7	1	no	—
854	#419	—	7	1	no	—
855	#419	—	7	1	no	—
856	#419	—	7	1	no	—
857	#419	—	7	1	no	—
858	#407	—	7	1	no	—
859	#407	—	7	1	no	—
860	C₄×M₁₆	—	7	1	no	—
861	C₄×M₁₆	—	7	1	no	—
862	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
863	C₂²×D₇	—	2	2	no	—
864	C₂²×D₇	—	4	1	no	—
865	C₂²×D₇	—	4	1	no	—
866	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
867	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
868	C₇×Q₈	—	2	1	no	—
869	C₇×Q₈	—	2	1	no	—
870	C₇×Q₈	—	2	1	no	—
871	C₇×Q₈	—	2	1	no	—
872	C₇×Q₈	—	8	1	no	—
873	C₇×Q₈	—	8	1	no	—
874	C₂×C₄×C₇	—	2	1	no	—
875	C₂×C₄×C₇	—	2	1	no	—
876	C₂×C₄×C₇	—	2	1	no	—
877	C₂×C₄×C₇	—	2	1	no	—
878	C₂×C₄×C₇	—	2	1	no	—
879	C₂×C₄×C₇	—	2	1	no	—
880	C₂×C₄×C₇	—	2	1	no	—
881	C₂×C₄×C₇	—	2	1	no	—
882	C₂×C₄×C₇	—	2	1	no	—
883	C₂×C₄×C₇	—	2	1	no	—
884	C₂×C₄×C₇	—	8	1	no	—
885	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
887	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
888	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
890	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
891	C₂×Dic₇	—	2	2	no	—
892	C₂×Dic₇	—	2	1	no	—
893	C₂×Dic₇	—	2	1	no	—
894	C₂×Dic₇	—	2	1	no	—
895	C₂×Dic₇	—	2	1	no	—
896	C₂×Dic₇	—	2	1	no	—
897	C₂×Dic₇	—	2	1	no	—
898	C₂×Dic₇	—	2	1	no	—
899	C₂×Dic₇	—	2	1	no	—
900	C₂×Dic₇	—	8	1	no	—
901	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
902	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
903	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
904	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
905	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
906	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
907	C₄×D₇	—	2	2	no	—
908	C₄×D₇	—	2	1	no	—
909	C₄×D₇	—	2	1	no	—
910	C₄×D₇	—	2	2	no	—
911	C₄×D₇	—	4	1	no	—
912	C₄×D₇	—	4	1	no	—
913	C₄×D₇	—	4	1	no	—
914	C₄×D₇	—	4	1	no	—
915	C₄×D₇	—	4	2	no	—
916	C₄×D₇	—	4	2	no	—
917	C₄×D₇	—	4	2	no	—
918	C₄×D₇	—	4	2	no	—
919	C₄×D₇	—	8	1	no	—
920	C₄×D₇	—	8	1	no	—
921	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
922	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
923	Dic₁₄	—	2	1	no	—
924	Dic₁₄	—	2	1	no	—
925	Dic₁₄	—	2	1	no	—
926	Dic₁₄	—	2	1	no	—
927	Dic₁₄	—	4	2	no	—
928	Dic₁₄	—	4	2	no	—
929	Dic₁₄	—	8	1	no	—
930	Dic₁₄	—	8	1	no	—
931	Dic₁₄	—	8	1	no	—
932	Dic₁₄	—	8	1	no	—
933	Dic₁₄	—	8	1	no	—
934	Dic₁₄	—	8	1	no	—
935	C₇×C₈	—	2	1	no	—
936	C₇×C₈	—	2	1	no	—
937	C₇×C₈	—	2	1	no	—
938	C₇×C₈	—	2	1	no	—
939	C₇⋊C₈	—	2	1	no	—
940	C₇⋊C₈	—	2	1	no	—
941	C₇⋊C₈	—	2	1	no	—
942	C₇⋊C₈	—	2	1	no	—
943	C₂²×Q₈	—	7	1	no	—
944	C₂²×Q₈	—	7	1	no	—
945	C₂³×C₄	—	7	1	no	—
946	C₂×M₁₆	—	7	1	no	—
947	C₂×M₁₆	—	7	1	no	—
948	C₂×M₁₆	—	7	1	no	—
949	C₂×M₁₆	—	7	1	no	—
950	C₄⋊Q₈	—	2	1	no	—
951	C₄⋊Q₈	—	7	1	no	—
952	C₄⋊Q₈	—	7	1	no	—
953	C₄⋊Q₈	—	7	1	no	—
954	C₄⋊Q₈	—	7	1	no	—
955	C₄⋊Q₈	—	7	1	no	—
956	C₄⋊Q₈	—	7	1	no	—
957	C₄⋊Q₈	—	7	1	no	—
958	C₄⋊Q₈	—	7	1	no	—
959	C₄⋊Q₈	—	7	1	no	—
960	C₄⋊Q₈	—	14	1	no	—
961	C₄⋊Q₈	—	14	1	no	—
962	C₄⋊Q₈	—	14	1	no	—
963	C₄⋊Q₈	—	14	1	no	—
964	C₄⋊Q₈	—	14	1	no	—
965	C₄⋊Q₈	—	14	1	no	—
966	C₄⋊Q₈	—	14	1	no	—
967	C₄⋊Q₈	—	14	1	no	—
968	C₄⋊Q₈	—	14	1	no	—
969	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
970	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
971	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
972	#126	—	2	1	no	—
973	#126	—	2	1	no	—
974	#126	—	14	1	no	—
975	#126	—	14	1	no	—
976	#126	—	14	1	no	—
977	#126	—	14	1	no	—
978	#126	—	14	1	no	—
979	#126	—	14	1	no	—
980	#126	—	14	1	no	—
981	#126	—	14	1	no	—
982	#126	—	14	1	no	—
983	#126	—	14	1	no	—
984	#126	—	14	1	no	—
985	#126	—	14	1	no	—
986	#126	—	14	1	no	—
987	#126	—	14	1	no	—
988	#125	—	2	1	no	—
989	#125	—	2	1	no	—
990	#125	—	2	1	no	—
991	#125	—	7	1	no	—
992	#125	—	7	1	no	—
993	#125	—	7	1	no	—
994	#125	—	7	1	no	—
995	#125	—	7	1	no	—
996	#125	—	7	1	no	—
997	#125	—	7	1	no	—
998	#125	—	7	1	no	—
999	#125	—	7	1	no	—
1000	#125	—	14	1	no	—
1001	#125	—	14	1	no	—
1002	#125	—	14	1	no	—
1003	#125	—	14	1	no	—
1004	#125	—	14	1	no	—
1005	#125	—	14	1	no	—
1006	#125	—	14	1	no	—
1007	#125	—	14	1	no	—
1008	#125	—	14	1	no	—
1009	#125	—	14	1	no	—
1010	#125	—	14	1	no	—
1011	#125	—	14	1	no	—
1012	#125	—	14	1	no	—
1013	#125	—	14	1	no	—
1014	#125	—	14	1	no	—
1015	#125	—	14	1	no	—
1016	#125	—	14	1	no	—
1017	#125	—	14	1	no	—
1018	#125	—	14	1	no	—
1019	#125	—	14	1	no	—
1020	#125	—	14	1	no	—
1021	#125	—	14	1	no	—
1022	#125	—	14	1	no	—
1023	#125	C₂²×D₇	1	1	yes	characteristic
1024	#125	C₂²×D₇	1	1	yes	characteristic
1025	#125	C₂²×D₇	1	1	yes	characteristic
1026	C₂²⋊Q₈	—	2	1	no	—
1027	C₂²⋊Q₈	—	2	1	no	—
1028	C₂²⋊Q₈	—	7	1	no	—
1029	C₂²⋊Q₈	—	7	1	no	—
1030	C₂²⋊Q₈	—	7	1	no	—
1031	C₂²⋊Q₈	—	7	1	no	—
1032	C₂²⋊Q₈	—	7	1	no	—
1033	C₂²⋊Q₈	—	7	1	no	—
1034	C₂²⋊Q₈	—	14	1	no	—
1035	C₂²⋊Q₈	—	14	1	no	—
1036	C₂²⋊Q₈	—	14	1	no	—
1037	C₂²⋊Q₈	—	14	1	no	—
1038	C₂²⋊Q₈	—	14	1	no	—
1039	C₂²⋊Q₈	—	14	1	no	—
1040	C₂²⋊Q₈	—	14	1	no	—
1041	C₂²⋊Q₈	—	14	1	no	—
1042	C₂²⋊Q₈	—	14	1	no	—
1043	C₂²⋊Q₈	—	14	1	no	—
1044	C₂²⋊Q₈	—	14	1	no	—
1045	C₂²⋊Q₈	—	14	1	no	—
1046	C₂²⋊Q₈	—	14	1	no	—
1047	C₂²⋊Q₈	—	14	1	no	—
1048	C₂²⋊Q₈	—	14	1	no	—
1049	C₂²⋊Q₈	—	14	1	no	—
1050	C₂²⋊Q₈	—	14	1	no	—
1051	C₂²⋊Q₈	—	14	1	no	—
1052	C₂²⋊Q₈	—	14	1	no	—
1053	C₂²⋊Q₈	—	14	1	no	—
1054	C₂²⋊Q₈	—	14	1	no	—
1055	C₂²⋊Q₈	—	14	1	no	—
1056	C₂²⋊Q₈	—	14	1	no	—
1057	C₂²⋊Q₈	—	14	1	no	—
1058	C₂²⋊Q₈	—	14	1	no	—
1059	C₂²⋊Q₈	—	14	1	no	—
1060	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1061	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1062	C₄×Q₈	—	7	1	no	—
1063	C₄×Q₈	—	7	1	no	—
1064	C₄×Q₈	—	7	1	no	—
1065	C₄×Q₈	—	7	1	no	—
1066	C₄×Q₈	—	7	1	no	—
1067	C₄×Q₈	—	7	1	no	—
1068	C₄×Q₈	—	14	1	no	—
1069	C₄×Q₈	—	14	1	no	—
1070	C₄×Q₈	—	14	1	no	—
1071	C₄×Q₈	—	14	1	no	—
1072	C₄×Q₈	—	14	1	no	—
1073	C₄×Q₈	—	14	1	no	—
1074	C₄×Q₈	—	14	1	no	—
1075	C₄×Q₈	—	14	1	no	—
1076	C₄×Q₈	—	14	1	no	—
1077	C₄×Q₈	—	14	1	no	—
1078	C₄×Q₈	—	14	1	no	—
1079	C₄×Q₈	—	14	1	no	—
1080	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1081	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1082	#117	—	7	1	no	—
1083	#117	—	7	1	no	—
1084	#117	—	7	1	no	—
1085	#117	—	7	1	no	—
1086	#117	—	7	1	no	—
1087	#117	—	7	1	no	—
1088	#117	—	7	1	no	—
1089	#117	—	7	1	no	—
1090	#117	—	7	1	no	—
1091	#117	—	7	1	no	—
1092	#117	—	7	1	no	—
1093	#117	—	7	1	no	—
1094	#117	—	7	1	no	—
1095	#117	—	7	1	no	—
1096	#117	—	14	1	no	—
1097	#117	—	14	1	no	—
1098	#117	—	14	1	no	—
1099	#117	—	14	1	no	—
1100	#117	C₂²×D₇	1	1	yes	characteristic
1101	#117	C₂²×D₇	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	—	7	1	no	—
1103	C₂×C₄⋊C₄	—	7	1	no	—
1104	C₂×C₄⋊C₄	—	7	1	no	—
1105	C₂×C₄⋊C₄	—	7	1	no	—
1106	C₂×C₄⋊C₄	—	7	1	no	—
1107	C₂×C₄⋊C₄	—	7	1	no	—
1108	C₂×C₄⋊C₄	—	7	1	no	—
1109	C₂×C₄⋊C₄	—	14	1	no	—
1110	C₂×C₄⋊C₄	—	14	1	no	—
1111	C₂×C₄⋊C₄	—	14	1	no	—
1112	C₂×C₄⋊C₄	—	14	1	no	—
1113	C₂×C₄⋊C₄	—	14	1	no	—
1114	C₂×C₄⋊C₄	—	14	1	no	—
1115	C₂×C₄⋊C₄	—	14	1	no	—
1116	C₂×C₄⋊C₄	—	14	1	no	—
1117	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	—	7	1	no	—
1119	C₂×C₂²⋊C₄	—	7	1	no	—
1120	C₂×C₂²⋊C₄	—	14	1	no	—
1121	C₂×C₂²⋊C₄	—	14	1	no	—
1122	C₂×C₂²⋊C₄	—	14	1	no	—
1123	C₂×C₂²⋊C₄	—	14	1	no	—
1124	C₂×C₄²	—	7	1	no	—
1125	C₂×C₄²	—	7	1	no	—
1126	C₂×C₄²	—	14	1	no	—
1127	C₂×C₄²	—	14	1	no	—
1128	C₂×C₄²	—	14	1	no	—
1129	C₂×C₄²	—	14	1	no	—
1130	#107	—	7	1	no	—
1131	#107	—	7	1	no	—
1132	#107	—	7	1	no	—
1133	#107	—	7	1	no	—
1134	#107	—	7	1	no	—
1135	#107	—	7	1	no	—
1136	#107	—	7	1	no	—
1137	#107	—	7	1	no	—
1138	#107	—	7	1	no	—
1139	#107	—	7	1	no	—
1140	#107	—	7	1	no	—
1141	#107	—	7	1	no	—
1142	#107	C₂²×D₇	1	1	yes	characteristic
1143	#107	C₂²×D₇	1	1	yes	characteristic
1144	#107	C₂²×D₇	1	1	yes	characteristic
1145	#107	C₂²×D₇	1	1	yes	characteristic
1146	#106	—	7	1	no	—
1147	#106	—	7	1	no	—
1148	#106	—	7	1	no	—
1149	#106	—	7	1	no	—
1150	#106	—	7	1	no	—
1151	#106	—	7	1	no	—
1152	#106	—	7	1	no	—
1153	#106	—	7	1	no	—
1154	#106	—	7	1	no	—
1155	#106	—	7	1	no	—
1156	#106	—	7	1	no	—
1157	#106	—	7	1	no	—
1158	#106	C₂²×D₇	1	1	yes	characteristic
1159	#106	C₂²×D₇	1	1	yes	characteristic
1160	#106	C₂²×D₇	1	1	yes	characteristic
1161	#106	C₂²×D₇	1	1	yes	characteristic
1162	C₄⋊C₈	—	7	1	no	—
1163	C₄⋊C₈	—	7	1	no	—
1164	C₄⋊C₈	—	7	1	no	—
1165	C₄⋊C₈	—	7	1	no	—
1166	C₄⋊C₈	—	7	1	no	—
1167	C₄⋊C₈	—	7	1	no	—
1168	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1169	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1170	#103	—	7	1	no	—
1171	#103	—	7	1	no	—
1172	#103	—	7	1	no	—
1173	#103	—	7	1	no	—
1174	#103	—	7	1	no	—
1175	#103	—	7	1	no	—
1176	#103	—	7	1	no	—
1177	#103	—	7	1	no	—
1178	#103	—	7	1	no	—
1179	#103	—	7	1	no	—
1180	#103	—	7	1	no	—
1181	#103	—	7	1	no	—
1182	#103	—	7	1	no	—
1183	#103	—	7	1	no	—
1184	#103	—	7	1	no	—
1185	#103	—	7	1	no	—
1186	#103	—	7	1	no	—
1187	#103	—	7	1	no	—
1188	#103	—	7	1	no	—
1189	#103	—	7	1	no	—
1190	#103	—	7	1	no	—
1191	#103	—	7	1	no	—
1192	#103	—	7	1	no	—
1193	#103	—	7	1	no	—
1194	#103	C₂²×D₇	1	1	yes	characteristic
1195	#103	C₂²×D₇	1	1	yes	characteristic
1196	#103	C₂²×D₇	1	1	yes	characteristic
1197	#103	C₂²×D₇	1	1	yes	characteristic
1198	#103	C₂²×D₇	1	1	yes	characteristic
1199	#103	C₂²×D₇	1	1	yes	characteristic
1200	#103	C₂²×D₇	1	1	yes	characteristic
1201	#103	C₂²×D₇	1	1	yes	characteristic
1202	C₂²⋊C₈	—	7	1	no	—
1203	C₂²⋊C₈	—	7	1	no	—
1204	C₂²⋊C₈	—	7	1	no	—
1205	C₂²⋊C₈	—	7	1	no	—
1206	C₂²⋊C₈	—	7	1	no	—
1207	C₂²⋊C₈	—	7	1	no	—
1208	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1209	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1210	#97	—	7	1	no	—
1211	#97	—	7	1	no	—
1212	#97	—	7	1	no	—
1213	#97	C₂²×D₇	1	1	yes	characteristic
1214	C₄×C₈	—	7	1	no	—
1215	C₄×C₈	—	7	1	no	—
1216	C₄×C₈	—	7	1	no	—
1217	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1218	C₂²×C₇	—	2	1	no	—
1219	C₂²×C₇	—	2	1	no	—
1220	C₂²×C₇	—	2	1	no	—
1221	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1222	C₂×D₇	—	2	1	no	—
1223	C₂×D₇	—	2	1	no	—
1224	C₂×D₇	—	2	1	no	—
1225	C₂×D₇	—	2	1	no	—
1226	C₂×D₇	—	2	1	no	—
1227	C₂×D₇	—	8	2	no	—
1228	C₂×D₇	#536	1	2	yes	—
1229	C₄×C₇	—	2	1	no	—
1230	C₄×C₇	—	2	1	no	—
1231	C₄×C₇	—	2	1	no	—
1232	C₄×C₇	—	2	1	no	—
1233	C₄×C₇	—	2	1	no	—
1234	C₄×C₇	—	4	1	no	—
1235	C₄×C₇	—	4	1	no	—
1236	C₄×C₇	—	4	1	no	—
1237	C₄×C₇	—	4	1	no	—
1238	C₄×C₇	—	4	1	no	—
1239	C₄×C₇	—	4	1	no	—
1240	C₄×C₇	—	4	1	no	—
1241	C₄×C₇	—	4	1	no	—
1242	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1243	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1244	Dic₇	—	2	1	no	—
1245	Dic₇	—	2	1	no	—
1246	Dic₇	—	2	1	no	—
1247	Dic₇	—	2	1	no	—
1248	Dic₇	—	2	1	no	—
1249	Dic₇	—	4	1	no	—
1250	Dic₇	—	4	1	no	—
1251	Dic₇	—	4	1	no	—
1252	Dic₇	—	4	1	no	—
1253	Dic₇	—	4	1	no	—
1254	Dic₇	—	4	1	no	—
1255	Dic₇	—	4	1	no	—
1256	Dic₇	—	4	1	no	—
1257	Dic₇	#536	1	2	yes	—
1258	C₂⁴	—	7	1	no	—
1259	C₂×Q₈	—	2	1	no	—
1260	C₂×Q₈	—	2	1	no	—
1261	C₂×Q₈	—	7	1	no	—
1262	C₂×Q₈	—	7	1	no	—
1263	C₂×Q₈	—	14	1	no	—
1264	C₂×Q₈	—	14	1	no	—
1265	C₂×Q₈	—	14	1	no	—
1266	C₂×Q₈	—	14	1	no	—
1267	C₂×Q₈	—	14	1	no	—
1268	C₂×Q₈	—	14	1	no	—
1269	C₂×Q₈	—	14	2	no	—
1270	C₂×Q₈	—	14	2	no	—
1271	C₂×Q₈	—	14	2	no	—
1272	C₂×Q₈	—	14	2	no	—
1273	C₂×Q₈	—	14	1	no	—
1274	C₂×Q₈	—	14	1	no	—
1275	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1276	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1277	C₂²×C₄	—	2	1	no	—
1278	C₂²×C₄	—	7	1	no	—
1279	C₂²×C₄	—	7	1	no	—
1280	C₂²×C₄	—	7	1	no	—
1281	C₂²×C₄	—	7	1	no	—
1282	C₂²×C₄	—	7	1	no	—
1283	C₂²×C₄	—	7	1	no	—
1284	C₂²×C₄	—	7	1	no	—
1285	C₂²×C₄	—	7	1	no	—
1286	C₂²×C₄	—	7	1	no	—
1287	C₂²×C₄	—	14	2	no	—
1288	C₂²×C₄	—	14	2	no	—
1289	C₂²×C₄	—	14	1	no	—
1290	C₂²×C₄	—	14	1	no	—
1291	C₂²×C₄	—	14	1	no	—
1292	C₂²×C₄	—	14	1	no	—
1293	C₂²×C₄	—	14	1	no	—
1294	C₂²×C₄	—	14	1	no	—
1295	C₂²×C₄	—	14	1	no	—
1296	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1297	M₁₆	—	14	2	no	—
1298	M₁₆	—	14	2	no	—
1299	M₁₆	—	14	2	no	—
1300	M₁₆	—	14	2	no	—
1301	C₂×C₈	—	7	1	no	—
1302	C₂×C₈	—	7	1	no	—
1303	C₂×C₈	—	7	1	no	—
1304	C₂×C₈	—	7	1	no	—
1305	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1306	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1307	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1308	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1309	C₄⋊C₄	—	2	1	no	—
1310	C₄⋊C₄	—	2	1	no	—
1311	C₄⋊C₄	—	2	1	no	—
1312	C₄⋊C₄	—	2	1	no	—
1313	C₄⋊C₄	—	2	1	no	—
1314	C₄⋊C₄	—	2	1	no	—
1315	C₄⋊C₄	—	2	1	no	—
1316	C₄⋊C₄	—	2	1	no	—
1317	C₄⋊C₄	—	2	1	no	—
1318	C₄⋊C₄	—	2	1	no	—
1319	C₄⋊C₄	—	2	1	no	—
1320	C₄⋊C₄	—	2	1	no	—
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	7	1	no	—
1325	C₄⋊C₄	—	7	1	no	—
1326	C₄⋊C₄	—	7	1	no	—
1327	C₄⋊C₄	—	7	1	no	—
1328	C₄⋊C₄	—	7	1	no	—
1329	C₄⋊C₄	—	7	1	no	—
1330	C₄⋊C₄	—	7	1	no	—
1331	C₄⋊C₄	—	7	1	no	—
1332	C₄⋊C₄	—	7	1	no	—
1333	C₄⋊C₄	—	7	1	no	—
1334	C₄⋊C₄	—	7	1	no	—
1335	C₄⋊C₄	—	7	1	no	—
1336	C₄⋊C₄	—	14	1	no	—
1337	C₄⋊C₄	—	14	1	no	—
1338	C₄⋊C₄	—	14	1	no	—
1339	C₄⋊C₄	—	14	1	no	—
1340	C₄⋊C₄	—	14	1	no	—
1341	C₄⋊C₄	—	14	1	no	—
1342	C₄⋊C₄	—	14	1	no	—
1343	C₄⋊C₄	—	14	1	no	—
1344	C₄⋊C₄	—	14	1	no	—
1345	C₄⋊C₄	—	14	1	no	—
1346	C₄⋊C₄	—	14	1	no	—
1347	C₄⋊C₄	—	14	1	no	—
1348	C₄⋊C₄	—	14	1	no	—
1349	C₄⋊C₄	—	14	1	no	—
1350	C₄⋊C₄	—	14	1	no	—
1351	C₄⋊C₄	—	14	1	no	—
1352	C₄⋊C₄	—	14	1	no	—
1353	C₄⋊C₄	—	14	1	no	—
1354	C₄⋊C₄	—	14	1	no	—
1355	C₄⋊C₄	—	14	1	no	—
1356	C₄⋊C₄	—	14	1	no	—
1357	C₄⋊C₄	—	14	1	no	—
1358	C₄⋊C₄	—	14	1	no	—
1359	C₄⋊C₄	—	14	1	no	—
1360	C₄⋊C₄	—	14	1	no	—
1361	C₄⋊C₄	—	14	1	no	—
1362	C₄⋊C₄	—	14	1	no	—
1363	C₄⋊C₄	—	14	1	no	—
1364	C₄⋊C₄	—	14	1	no	—
1365	C₄⋊C₄	—	14	1	no	—
1366	C₄⋊C₄	—	14	1	no	—
1367	C₄⋊C₄	—	14	1	no	—
1368	C₄⋊C₄	—	14	1	no	—
1369	C₄⋊C₄	—	14	1	no	—
1370	C₄⋊C₄	—	14	1	no	—
1371	C₄⋊C₄	—	14	1	no	—
1372	C₄⋊C₄	—	14	1	no	—
1373	C₄⋊C₄	—	14	1	no	—
1374	C₄⋊C₄	—	14	1	no	—
1375	C₄⋊C₄	—	14	1	no	—
1376	C₄⋊C₄	—	14	1	no	—
1377	C₄⋊C₄	—	14	1	no	—
1378	C₄⋊C₄	—	14	1	no	—
1379	C₄⋊C₄	—	14	1	no	—
1380	C₄⋊C₄	—	14	1	no	—
1381	C₄⋊C₄	—	14	1	no	—
1382	C₄⋊C₄	—	14	1	no	—
1383	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1384	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1385	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1386	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1387	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1388	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1389	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1390	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1391	C₂²⋊C₄	—	2	1	no	—
1392	C₂²⋊C₄	—	2	1	no	—
1393	C₂²⋊C₄	—	2	1	no	—
1394	C₂²⋊C₄	—	7	1	no	—
1395	C₂²⋊C₄	—	7	1	no	—
1396	C₂²⋊C₄	—	7	1	no	—
1397	C₂²⋊C₄	—	7	1	no	—
1398	C₂²⋊C₄	—	7	1	no	—
1399	C₂²⋊C₄	—	7	1	no	—
1400	C₂²⋊C₄	—	14	1	no	—
1401	C₂²⋊C₄	—	14	1	no	—
1402	C₂²⋊C₄	—	14	1	no	—
1403	C₂²⋊C₄	—	14	1	no	—
1404	C₂²⋊C₄	—	14	1	no	—
1405	C₂²⋊C₄	—	14	1	no	—
1406	C₂²⋊C₄	—	14	1	no	—
1407	C₂²⋊C₄	—	14	1	no	—
1408	C₂²⋊C₄	—	14	1	no	—
1409	C₂²⋊C₄	—	14	1	no	—
1410	C₂²⋊C₄	—	14	1	no	—
1411	C₂²⋊C₄	—	14	1	no	—
1412	C₂²⋊C₄	—	14	1	no	—
1413	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1414	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1415	C₄²	—	2	1	no	—
1416	C₄²	—	2	1	no	—
1417	C₄²	—	2	1	no	—
1418	C₄²	—	7	1	no	—
1419	C₄²	—	7	1	no	—
1420	C₄²	—	7	1	no	—
1421	C₄²	—	7	1	no	—
1422	C₄²	—	7	1	no	—
1423	C₄²	—	7	1	no	—
1424	C₄²	—	14	1	no	—
1425	C₄²	—	14	1	no	—
1426	C₄²	—	14	1	no	—
1427	C₄²	—	14	1	no	—
1428	C₄²	—	14	1	no	—
1429	C₄²	—	14	1	no	—
1430	C₄²	—	14	1	no	—
1431	C₄²	—	14	1	no	—
1432	C₄²	—	14	1	no	—
1433	C₄²	—	14	1	no	—
1434	C₄²	—	14	1	no	—
1435	C₄²	—	14	1	no	—
1436	C₄²	—	14	1	no	—
1437	C₄²	C₂³×D₇	1	1	yes	characteristic
1438	C₄²	C₂³×D₇	1	1	yes	characteristic
1439	C₂×C₇	—	4	1	no	—
1440	C₂×C₇	C₂×#536	1	1	yes	characteristic
1441	C₂×C₇	#3586	1	1	yes	characteristic
1442	C₂×C₇	#3586	1	1	yes	characteristic
1443	D₇	—	2	2	no	—
1444	D₇	—	4	1	no	—
1445	C₂³	—	7	1	no	—
1446	C₂³	—	7	1	no	—
1447	C₂³	—	14	2	no	—
1448	C₂³	—	28	1	no	—
1449	C₂³	—	28	1	no	—
1450	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1451	Q₈	—	2	1	no	—
1452	Q₈	—	2	1	no	—
1453	Q₈	—	2	1	no	—
1454	Q₈	—	2	1	no	—
1455	Q₈	—	8	1	no	—
1456	Q₈	—	8	1	no	—
1457	Q₈	—	14	1	no	—
1458	Q₈	—	14	1	no	—
1459	Q₈	—	14	1	no	—
1460	Q₈	—	14	1	no	—
1461	Q₈	—	28	2	no	—
1462	Q₈	—	28	2	no	—
1463	Q₈	—	56	1	no	—
1464	Q₈	—	56	1	no	—
1465	Q₈	—	56	1	no	—
1466	Q₈	—	56	1	no	—
1467	Q₈	—	56	1	no	—
1468	Q₈	—	56	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	7	1	no	—
1480	C₂×C₄	—	7	2	no	—
1481	C₂×C₄	—	7	2	no	—
1482	C₂×C₄	—	7	1	no	—
1483	C₂×C₄	—	7	1	no	—
1484	C₂×C₄	—	7	1	no	—
1485	C₂×C₄	—	7	1	no	—
1486	C₂×C₄	—	7	1	no	—
1487	C₂×C₄	—	8	1	no	—
1488	C₂×C₄	—	14	2	no	—
1489	C₂×C₄	—	14	2	no	—
1490	C₂×C₄	—	14	2	no	—
1491	C₂×C₄	—	14	1	no	—
1492	C₂×C₄	—	14	1	no	—
1493	C₂×C₄	—	14	1	no	—
1494	C₂×C₄	—	14	1	no	—
1495	C₂×C₄	—	14	1	no	—
1496	C₂×C₄	—	14	1	no	—
1497	C₂×C₄	—	14	1	no	—
1498	C₂×C₄	—	14	1	no	—
1499	C₂×C₄	—	14	1	no	—
1500	C₂×C₄	—	14	1	no	—
1501	C₂×C₄	—	28	1	no	—
1502	C₂×C₄	—	28	1	no	—
1503	C₂×C₄	—	28	1	no	—
1504	C₂×C₄	—	28	1	no	—
1505	C₂×C₄	—	28	2	no	—
1506	C₂×C₄	—	28	2	no	—
1507	C₂×C₄	—	28	2	no	—
1508	C₂×C₄	—	28	2	no	—
1509	C₂×C₄	—	56	1	no	—
1510	C₂×C₄	—	56	1	no	—
1511	C₂×C₄	—	56	1	no	—
1512	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1513	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1514	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1515	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1516	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1517	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1518	C₈	—	2	1	no	—
1519	C₈	—	2	1	no	—
1520	C₈	—	2	1	no	—
1521	C₈	—	2	1	no	—
1522	C₈	—	14	1	no	—
1523	C₈	—	14	1	no	—
1524	C₈	—	14	1	no	—
1525	C₈	—	14	1	no	—
1526	C₇	#60869	1	1	yes	characteristic, complemented, Sylow
1527	C₂²	—	2	1	no	—
1528	C₂²	—	2	1	no	—
1529	C₂²	—	2	1	no	—
1530	C₂²	—	7	2	no	—
1531	C₂²	—	14	1	no	—
1532	C₂²	—	14	1	no	—
1533	C₂²	—	14	1	no	—
1534	C₂²	—	14	1	no	—
1535	C₂²	—	14	1	no	—
1536	C₂²	—	56	2	no	—
1537	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1538	C₄	—	2	1	no	—
1539	C₄	—	2	1	no	—
1540	C₄	—	2	1	no	—
1541	C₄	—	2	1	no	—
1542	C₄	—	2	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	—	7	2	no	—
1552	C₄	—	14	1	no	—
1553	C₄	—	14	1	no	—
1554	C₄	—	14	1	no	—
1555	C₄	—	14	1	no	—
1556	C₄	—	14	1	no	—
1557	C₄	—	28	1	no	—
1558	C₄	—	28	1	no	—
1559	C₄	—	28	1	no	—
1560	C₄	—	28	1	no	—
1561	C₄	—	28	1	no	—
1562	C₄	—	28	1	no	—
1563	C₄	—	28	1	no	—
1564	C₄	—	28	1	no	—
1565	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1566	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1567	C₂	—	4	1	no	—
1568	C₂	—	14	2	no	—
1569	C₂	—	28	1	no	—
1570	C₂	D₇×#536	1	1	yes	characteristic
1571	C₂	#11744276	1	1	yes	characteristic
1572	C₂	#11744279	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3242	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	C₂³×D₇	C₂×D₄
hypercenter	#3242	D₇
hypocenter	C₇	#60869
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3242

Complements

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

N	H ≅ G/N	type
3. C₇×#3242	C₂	semidirect
4. #11740926	C₂	semidirect
5. #11740887	C₂	semidirect
6. #11739432	C₂	semidirect
7. #11739422	C₂	semidirect
8. #11739368	C₂	semidirect
9. #11739364	C₂	semidirect
10. #11739192	C₂	semidirect
11. #11739184	C₂	semidirect
12. #11739056	C₂	semidirect
13. #11739045	C₂	semidirect
16. #11738950	C₂	semidirect
17. #11738949	C₂	semidirect
19. #11738905	C₂	semidirect
21. #11738867	C₂	semidirect
22. #11738686	C₂	semidirect
23. #11738685	C₂	semidirect
24. #11738675	C₂	semidirect
25. #11738675	C₂	semidirect
26. #11738561	C₂	semidirect
27. #11738553	C₂	semidirect
28. #11738464	C₂	semidirect
29. #11738456	C₂	semidirect
31. #11736808	C₂	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#499	C₂²	semidirect
79. C₇×#491	C₂²	semidirect
80. C₇×#487	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#479	C₂²	semidirect
87. C₇×#477	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
90. #89866	C₂²	semidirect
91. #89865	C₂²	semidirect
92. #89863	C₂²	semidirect
93. #89854	C₂²	semidirect
94. #89853	C₂²	semidirect
95. #89852	C₂²	semidirect
96. #89841	C₂²	semidirect
97. #89837	C₂²	semidirect
98. #89836	C₂²	semidirect
99. #89836	C₂²	semidirect
100. #89835	C₂²	semidirect
101. #89835	C₂²	semidirect
106. #89794	C₂²	semidirect
107. #89794	C₂²	semidirect
108. #89793	C₂²	semidirect
109. #89792	C₂²	semidirect
123. #89650	C₂²	semidirect
124. #89650	C₂²	semidirect
125. #89649	C₂²	semidirect
126. #89649	C₂²	semidirect
127. #89648	C₂²	semidirect
128. #89648	C₂²	semidirect
129. #89647	C₂²	semidirect
130. #89647	C₂²	semidirect
139. #89630	C₂²	semidirect
140. #89630	C₂²	semidirect
141. #89629	C₂²	semidirect
142. #89629	C₂²	semidirect
143. #89628	C₂²	semidirect
144. #89628	C₂²	semidirect
145. #89626	C₂²	semidirect
146. #89626	C₂²	semidirect
147. #89623	C₂²	semidirect
148. #89622	C₂²	semidirect
153. #89601	C₂²	semidirect
154. #89601	C₂²	semidirect
171. #89571	C₂²	semidirect
172. #89571	C₂²	semidirect
173. #89569	C₂²	semidirect
174. #89569	C₂²	semidirect
175. #89569	C₂²	semidirect
176. #89569	C₂²	semidirect
177. #89568	C₂²	semidirect
178. #89568	C₂²	semidirect
179. #89566	C₂²	semidirect
180. #89566	C₂²	semidirect
181. #89564	C₂²	semidirect
182. #89564	C₂²	semidirect
183. #89564	C₂²	semidirect
184. #89564	C₂²	semidirect
185. #89563	C₂²	semidirect
186. #89563	C₂²	semidirect
197. #89475	C₂²	semidirect
198. #89474	C₂²	semidirect
201. #89455	C₂²	semidirect
202. #89453	C₂²	semidirect
496. #3242	D₇	semidirect
743. #501	C₂×D₇	semidirect
751. #499	C₂×D₇	semidirect
759. #491	C₂×D₇	semidirect
767. #487	C₂×D₇	semidirect
814. #479	C₂×D₇	semidirect
815. #479	C₂×D₇	semidirect
823. #477	C₂×D₇	semidirect
831. #475	C₂×D₇	semidirect
1526. C₇	#60869	semidirect

Maximal subgroups

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

subgroup	index
#11743649	2
D₇×#541	2
C₇×#3242	2
#11740926	2
#11740887	2
#11739432	2
#11739422	2
#11739368	2
#11739364	2
#11739192	2
#11739184	2
#11739056	2
#11739045	2
#11738962	2
#11738950	2
#11738949	2
#11738914	2
#11738905	2
#11738873	2
#11738867	2
#11738686	2
#11738685	2
#11738675	2
#11738561	2
#11738553	2
#11738464	2
#11738456	2
#11736816	2
#11736808	2
#60869	7