Subgroups — #14244140

Order 1792.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743570	C₂	1	1	yes	maximal, characteristic, complemented
2	#11742928	C₂	1	1	yes	maximal, characteristic
3	C₇×#3123	C₂	1	1	yes	maximal, characteristic
4	#11740887	C₂	1	1	yes	maximal, characteristic, complemented
5	#11739990	C₂	1	1	yes	maximal, characteristic
6	#11738950	C₂	1	1	yes	maximal, characteristic, complemented
7	#11738949	C₂	1	1	yes	maximal, characteristic, complemented
8	#11738947	C₂	1	1	yes	maximal, characteristic, complemented
9	#11738945	C₂	1	1	yes	maximal, characteristic, complemented
10	#11738606	C₂	1	1	yes	maximal, characteristic, complemented
11	#11738605	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738604	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738602	C₂	1	1	yes	maximal, characteristic, complemented
14	#11737863	C₂	1	1	yes	maximal, characteristic, complemented
15	#11737863	C₂	1	1	yes	maximal, characteristic, complemented
16	#11737862	C₂	1	1	yes	maximal, characteristic, complemented
17	#11737859	C₂	1	1	yes	maximal, characteristic, complemented
18	#11737582	C₂	1	1	yes	maximal, characteristic
19	#11737582	C₂	1	1	yes	maximal, characteristic
20	#11737579	C₂	1	1	yes	maximal, characteristic
21	#11737577	C₂	1	1	yes	maximal, characteristic
22	#11737207	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737205	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737200	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737200	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737081	C₂	1	1	yes	maximal, characteristic, complemented
27	#11737078	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737073	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737064	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736808	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736804	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#541	C₂²	1	1	yes	characteristic
33	C₇×#518	C₂²	1	1	yes	characteristic
34	#90489	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
36	#90412	C₂²	1	1	yes	characteristic, complemented
37	#90412	C₂²	1	1	yes	characteristic, complemented
38	#90392	—	2	1	no	—
39	#90392	—	2	1	no	—
40	#90392	—	2	1	no	—
41	#90392	—	2	1	no	—
42	C₇⋊#564	—	2	1	no	—
43	C₇⋊#564	—	2	1	no	—
44	#90376	—	2	1	no	—
45	#90376	—	2	1	no	—
46	#90376	C₂²	1	1	yes	characteristic, complemented
47	#90376	C₂²	1	1	yes	characteristic, complemented
48	#90316	C₂²	1	1	yes	characteristic
49	#90316	C₂²	1	1	yes	characteristic
50	#90313	C₂²	1	1	yes	characteristic
51	#90313	C₂²	1	1	yes	characteristic
52	#90260	C₂²	1	1	yes	characteristic, complemented
53	#90260	C₂²	1	1	yes	characteristic, complemented
54	#90258	C₂²	1	1	yes	characteristic, complemented
55	#90258	C₂²	1	1	yes	characteristic, complemented
56	#90234	—	2	1	no	—
57	#90234	C₂²	1	1	yes	characteristic
58	#90234	C₂²	1	1	yes	characteristic
59	#90230	—	2	1	no	—
60	#90230	—	2	1	no	—
61	#90230	C₂²	1	1	yes	characteristic
62	#90230	C₂²	1	1	yes	characteristic
63	#90230	C₂²	1	1	yes	characteristic
64	#90230	C₂²	1	1	yes	characteristic
65	D₄×Dic₁₄	—	2	1	no	—
66	D₄×Dic₁₄	C₂²	1	1	yes	characteristic
67	D₄×Dic₁₄	C₂²	1	1	yes	characteristic
68	#90210	C₂²	1	1	yes	characteristic
69	#90210	C₂²	1	1	yes	characteristic
70	#90209	C₂²	1	1	yes	characteristic
71	#90208	C₂²	1	1	yes	characteristic
72	#90208	C₂²	1	1	yes	characteristic
73	#90174	—	2	1	no	—
74	#90174	—	2	1	no	—
75	C₂×#6441	—	2	1	no	—
76	C₂×#6441	—	2	1	no	—
77	C₇×#485	C₂²	1	1	yes	characteristic
78	C₇×#485	C₂²	1	1	yes	characteristic
79	C₇×#478	C₂²	1	1	yes	characteristic
80	C₇×#478	C₂²	1	1	yes	characteristic
81	C₇×#461	C₂²	1	1	yes	characteristic
82	C₇×#461	C₂²	1	1	yes	characteristic
83	C₇×#450	C₂²	1	1	yes	characteristic
84	C₇×#450	C₂²	1	1	yes	characteristic
85	C₇×#440	C₂²	1	1	yes	characteristic
86	C₇×#440	C₂²	1	1	yes	characteristic
87	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
88	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
89	C₇×#433	C₂²	1	1	yes	characteristic
90	#89990	C₂²	1	1	yes	characteristic
91	#89990	C₂²	1	1	yes	characteristic
92	#89936	C₂²	1	1	yes	characteristic
93	#89936	C₂²	1	1	yes	characteristic
94	#89936	C₂²	1	1	yes	characteristic
95	#89936	C₂²	1	1	yes	characteristic
96	#89934	C₂²	1	1	yes	characteristic
97	#89934	C₂²	1	1	yes	characteristic
98	#89934	C₂²	1	1	yes	characteristic
99	#89934	C₂²	1	1	yes	characteristic
100	#89934	C₂²	1	1	yes	characteristic
101	#89934	C₂²	1	1	yes	characteristic
102	#89934	C₂²	1	1	yes	characteristic
103	#89934	C₂²	1	1	yes	characteristic
104	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic
106	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic
108	#89854	C₂²	1	1	yes	characteristic, complemented
109	#89853	C₂²	1	1	yes	characteristic, complemented
110	#89837	C₂²	1	1	yes	characteristic, complemented
111	#89836	C₂²	1	1	yes	characteristic, complemented
112	#89817	C₂²	1	1	yes	characteristic
113	#89817	C₂²	1	1	yes	characteristic
114	#89816	C₂²	1	1	yes	characteristic
115	#89815	C₂²	1	1	yes	characteristic
116	#89794	C₂²	1	1	yes	characteristic, complemented
117	#89794	C₂²	1	1	yes	characteristic, complemented
118	#89793	C₂²	1	1	yes	characteristic, complemented
119	#89792	C₂²	1	1	yes	characteristic, complemented
120	#89791	C₂²	1	1	yes	characteristic
121	#89791	C₂²	1	1	yes	characteristic
122	#89790	C₂²	1	1	yes	characteristic
123	#89790	C₂²	1	1	yes	characteristic
124	C₄×#1142	C₂²	1	1	yes	characteristic
125	C₄×#1142	C₂²	1	1	yes	characteristic
126	#89781	C₂²	1	1	yes	characteristic
127	#89781	C₂²	1	1	yes	characteristic
128	#89772	C₂²	1	1	yes	characteristic
129	#89768	C₂²	1	1	yes	characteristic
130	#89768	C₂²	1	1	yes	characteristic
131	#89650	C₂²	1	1	yes	characteristic, complemented
132	#89649	C₂²	1	1	yes	characteristic, complemented
133	#89649	C₂²	1	1	yes	characteristic, complemented
134	#89648	C₂²	1	1	yes	characteristic, complemented
135	#89648	C₂²	1	1	yes	characteristic, complemented
136	#89647	C₂²	1	1	yes	characteristic, complemented
137	#89647	C₂²	1	1	yes	characteristic, complemented
138	#89646	C₂²	1	1	yes	characteristic, complemented
139	#89630	C₂²	1	1	yes	characteristic, complemented
140	#89629	C₂²	1	1	yes	characteristic, complemented
141	#89629	C₂²	1	1	yes	characteristic, complemented
142	#89628	C₂²	1	1	yes	characteristic, complemented
143	#89628	C₂²	1	1	yes	characteristic, complemented
144	#89627	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	#89603	C₂²	1	1	yes	characteristic, complemented
150	#89602	C₂²	1	1	yes	characteristic, complemented
151	#89601	C₂²	1	1	yes	characteristic, complemented
152	#89601	C₂²	1	1	yes	characteristic, complemented
153	#89600	C₂²	1	1	yes	characteristic, complemented
154	#89600	C₂²	1	1	yes	characteristic, complemented
155	#89571	C₂²	1	1	yes	characteristic, complemented
156	#89571	C₂²	1	1	yes	characteristic, complemented
157	#89569	C₂²	1	1	yes	characteristic, complemented
158	#89569	C₂²	1	1	yes	characteristic, complemented
159	#89569	C₂²	1	1	yes	characteristic, complemented
160	#89569	C₂²	1	1	yes	characteristic, complemented
161	#89568	C₂²	1	1	yes	characteristic, complemented
162	#89568	C₂²	1	1	yes	characteristic, complemented
163	#89566	C₂²	1	1	yes	characteristic, complemented
164	#89566	C₂²	1	1	yes	characteristic, complemented
165	#89564	C₂²	1	1	yes	characteristic, complemented
166	#89564	C₂²	1	1	yes	characteristic, complemented
167	#89564	C₂²	1	1	yes	characteristic, complemented
168	#89564	C₂²	1	1	yes	characteristic, complemented
169	#89563	C₂²	1	1	yes	characteristic, complemented
170	#89563	C₂²	1	1	yes	characteristic, complemented
171	#89538	C₂²	1	1	yes	characteristic
172	#89538	C₂²	1	1	yes	characteristic
173	#89535	C₂²	1	1	yes	characteristic
174	#89535	C₂²	1	1	yes	characteristic
175	#89533	C₂²	1	1	yes	characteristic
176	#89533	C₂²	1	1	yes	characteristic
177	#89531	C₂²	1	1	yes	characteristic
178	#89531	C₂²	1	1	yes	characteristic
179	#89530	C₂²	1	1	yes	characteristic
180	#89530	C₂²	1	1	yes	characteristic
181	#89530	C₂²	1	1	yes	characteristic
182	#89530	C₂²	1	1	yes	characteristic
183	#89529	C₂²	1	1	yes	characteristic
184	#89529	C₂²	1	1	yes	characteristic
185	#89529	C₂²	1	1	yes	characteristic
186	#89529	C₂²	1	1	yes	characteristic
187	#89495	C₂²	1	1	yes	characteristic
188	#89495	C₂²	1	1	yes	characteristic
189	#89494	C₂²	1	1	yes	characteristic
190	#89493	C₂²	1	1	yes	characteristic
191	#89492	C₂²	1	1	yes	characteristic
192	#89492	C₂²	1	1	yes	characteristic
193	#89491	C₂²	1	1	yes	characteristic
194	#89490	C₂²	1	1	yes	characteristic
195	#89475	C₂²	1	1	yes	characteristic, complemented
196	#89474	C₂²	1	1	yes	characteristic, complemented
197	#89473	C₂²	1	1	yes	characteristic, complemented
198	#89473	C₂²	1	1	yes	characteristic, complemented
199	#89455	C₂²	1	1	yes	characteristic, complemented
200	#89453	C₂²	1	1	yes	characteristic, complemented
201	#89451	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
203	#61848	—	7	1	no	maximal, Sylow
204	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
205	C₂³×Dic₇	—	2	1	no	—
206	C₂²×Dic₁₄	—	2	1	no	—
207	C₂²×Dic₁₄	—	2	1	no	—
208	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×#126	—	2	1	no	—
214	C₇×#126	—	2	1	no	—
215	C₇×#125	—	2	1	no	—
216	C₇×#125	—	2	1	no	—
217	C₇×#125	C₂³	1	1	yes	characteristic
218	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
221	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₇×D₄	—	2	1	no	—
223	C₄×C₇×D₄	—	2	1	no	—
224	C₄×C₇×D₄	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×C₇×C₂²⋊C₄	—	2	1	no	—
231	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
232	C₂×C₂²⋊Dic₇	—	2	1	no	—
233	C₂×C₂²⋊Dic₇	—	2	1	no	—
234	C₂×C₂²⋊Dic₇	—	2	1	no	—
235	Q₈×Dic₇	C₂³	1	1	yes	characteristic
236	Q₈×Dic₇	C₂³	1	1	yes	characteristic
237	Q₈×Dic₇	C₂³	1	1	yes	characteristic
238	Q₈×Dic₇	C₂³	1	1	yes	characteristic
239	#6507	C₂³	1	1	yes	characteristic
240	#6507	C₂³	1	1	yes	characteristic
241	#6507	C₂³	1	1	yes	characteristic
242	#6507	C₂³	1	1	yes	characteristic
243	D₄×Dic₇	—	2	1	no	—
244	D₄×Dic₇	—	2	1	no	—
245	D₄×Dic₇	—	2	1	no	—
246	D₄×Dic₇	—	2	1	no	—
247	D₄×Dic₇	C₂³	1	1	yes	characteristic
248	D₄×Dic₇	C₂³	1	1	yes	characteristic
249	D₄×Dic₇	C₂³	1	1	yes	characteristic
250	D₄×Dic₇	C₂³	1	1	yes	characteristic
251	D₄×Dic₇	C₂³	1	1	yes	characteristic
252	D₄×Dic₇	C₂³	1	1	yes	characteristic
253	D₄×Dic₇	C₂³	1	1	yes	characteristic
254	D₄×Dic₇	C₂³	1	1	yes	characteristic
255	C₂×#1142	C₂³	1	1	yes	characteristic
256	C₂×#1142	C₂³	1	1	yes	characteristic
257	C₂×#1142	C₂³	1	1	yes	characteristic
258	C₂×#1142	C₂³	1	1	yes	characteristic
259	#6489	C₂³	1	1	yes	characteristic
260	#6489	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₇	—	2	1	no	—
262	C₂×C₄⋊Dic₇	—	2	1	no	—
263	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
264	#6487	—	2	1	no	—
265	#6487	—	2	1	no	—
266	#6487	—	2	1	no	—
267	#6487	—	2	1	no	—
268	#6487	—	2	1	no	—
269	#6487	—	2	1	no	—
270	#6487	—	2	1	no	—
271	#6487	—	2	1	no	—
272	#6487	C₂³	1	1	yes	characteristic
273	#6487	C₂³	1	1	yes	characteristic
274	C₂×Dic₇⋊C₄	—	2	1	no	—
275	C₂×Dic₇⋊C₄	—	2	1	no	—
276	C₂×Dic₇⋊C₄	—	2	1	no	—
277	C₂×Dic₇⋊C₄	—	2	1	no	—
278	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
279	#6453	—	2	1	no	—
280	#6453	—	2	1	no	—
281	#6453	—	2	1	no	—
282	#6453	—	2	1	no	—
283	#6453	—	2	1	no	—
284	#6453	—	2	1	no	—
285	#6453	—	2	1	no	—
286	#6453	D₄	1	1	yes	characteristic
287	#6453	D₄	1	1	yes	characteristic
288	#6453	C₂³	1	1	yes	characteristic
289	#6453	C₂³	1	1	yes	characteristic
290	#6453	C₂³	1	1	yes	characteristic
291	#6453	C₂³	1	1	yes	characteristic
292	#6453	C₂³	1	1	yes	characteristic
293	#6453	C₂³	1	1	yes	characteristic
294	#6452	—	2	1	no	—
295	#6452	—	2	1	no	—
296	#6452	—	2	1	no	—
297	#6452	—	2	1	no	—
298	#6452	—	2	1	no	—
299	#6452	—	2	1	no	—
300	#6452	—	2	1	no	—
301	#6452	—	2	1	no	—
302	#6452	—	2	1	no	—
303	#6452	—	2	1	no	—
304	#6452	—	2	1	no	—
305	#6452	—	2	1	no	—
306	#6452	—	2	1	no	—
307	#6452	—	2	1	no	—
308	#6452	—	2	1	no	—
309	#6452	—	2	1	no	—
310	#6452	—	2	1	no	—
311	#6452	—	2	1	no	—
312	#6451	—	2	1	no	—
313	#6451	—	2	1	no	—
314	#6451	—	2	1	no	—
315	#6451	—	2	1	no	—
316	#6451	—	2	1	no	—
317	#6451	D₄	1	1	yes	characteristic
318	#6451	D₄	1	1	yes	characteristic
319	#6451	C₂³	1	1	yes	characteristic
320	#6451	C₂³	1	1	yes	characteristic
321	#6451	C₂³	1	1	yes	characteristic
322	#6451	C₂³	1	1	yes	characteristic
323	#6451	C₂³	1	1	yes	characteristic
324	#6451	C₂³	1	1	yes	characteristic
325	#6450	—	2	1	no	—
326	#6450	—	2	1	no	—
327	#6450	—	2	1	no	—
328	#6450	—	2	1	no	—
329	#6450	—	2	1	no	—
330	#6450	—	2	1	no	—
331	#6450	C₂³	1	1	yes	characteristic
332	#6450	C₂³	1	1	yes	characteristic
333	#6450	C₂³	1	1	yes	characteristic
334	#6450	C₂³	1	1	yes	characteristic
335	#6442	—	2	1	no	—
336	#6442	—	2	1	no	—
337	#6442	—	2	1	no	—
338	#6442	—	2	1	no	—
339	#6442	—	2	1	no	—
340	#6442	—	2	1	no	—
341	#6441	—	2	1	no	—
342	#6441	—	2	1	no	—
343	#6441	—	2	1	no	—
344	#6441	—	2	1	no	—
345	#6441	—	2	1	no	—
346	#6441	—	2	1	no	—
347	#6441	—	2	1	no	—
348	#6441	—	2	1	no	—
349	#6441	—	2	1	no	—
350	#6441	—	2	1	no	—
351	#6441	—	2	1	no	—
352	#6441	—	2	1	no	—
353	#6441	—	2	1	no	—
354	#6441	—	2	1	no	—
355	#6441	—	2	1	no	—
356	#6441	—	2	1	no	—
357	#6441	—	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	#6441	—	2	1	no	—
365	#6441	D₄	1	1	yes	characteristic
366	#6441	D₄	1	1	yes	characteristic
367	#6441	D₄	1	1	yes	characteristic
368	#6441	D₄	1	1	yes	characteristic
369	#6440	—	2	1	no	—
370	#6440	—	2	1	no	—
371	#6433	—	2	1	no	—
372	#6433	—	2	1	no	—
373	#6433	—	2	1	no	—
374	#6433	—	2	1	no	—
375	#6433	—	2	1	no	—
376	#6433	C₂³	1	1	yes	characteristic
377	#6433	C₂³	1	1	yes	characteristic
378	#6433	C₂³	1	1	yes	characteristic
379	#6432	—	2	1	no	—
380	#6432	C₂³	1	1	yes	characteristic
381	#6432	C₂³	1	1	yes	characteristic
382	#6432	C₂³	1	1	yes	characteristic
383	C₄×Dic₁₄	—	2	1	no	—
384	C₄×Dic₁₄	—	2	1	no	—
385	C₄×Dic₁₄	—	2	1	no	—
386	C₄×Dic₁₄	—	2	1	no	—
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	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
395	C₇×#107	C₂³	1	1	yes	characteristic
396	C₇×#107	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×#102	C₂³	1	1	yes	characteristic
406	C₇×#102	C₂³	1	1	yes	characteristic
407	C₇×#102	C₂³	1	1	yes	characteristic
408	C₇×#102	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	#6406	C₂³	1	1	yes	characteristic
422	#6406	C₂³	1	1	yes	characteristic
423	#6406	C₂³	1	1	yes	characteristic
424	#6406	C₂³	1	1	yes	characteristic
425	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
426	C₂²⋊(C₇⋊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	#6389	C₂³	1	1	yes	characteristic
446	#6389	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
450	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
451	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
453	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	C₈×Dic₇	C₂³	1	1	yes	characteristic
456	C₈×Dic₇	C₂³	1	1	yes	characteristic
457	C₈×Dic₇	C₂³	1	1	yes	characteristic
458	C₈×Dic₇	C₂³	1	1	yes	characteristic
459	#6384	C₂³	1	1	yes	characteristic
460	#6384	C₂³	1	1	yes	characteristic
461	#6384	C₂³	1	1	yes	characteristic
462	#6384	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#6382	C₂³	1	1	yes	characteristic
468	#6382	C₂³	1	1	yes	characteristic
469	#6381	C₂³	1	1	yes	characteristic
470	#6381	C₂³	1	1	yes	characteristic
471	#6381	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	#6381	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3556	—	7	1	no	—
480	#3501	—	7	1	no	—
481	#3388	—	7	1	no	—
482	#3388	—	7	1	no	—
483	#3388	—	7	1	no	—
484	#3388	—	7	1	no	—
485	#3386	—	7	1	no	—
486	#3386	—	7	1	no	—
487	#3381	—	7	1	no	—
488	#3381	—	7	1	no	—
489	#3372	—	7	1	no	—
490	#3372	—	7	1	no	—
491	#3372	—	7	1	no	—
492	#3372	—	7	1	no	—
493	#3372	—	7	1	no	—
494	#3372	—	7	1	no	—
495	#3359	—	7	1	no	—
496	#3359	—	7	1	no	—
497	#3242	—	7	1	no	—
498	#3242	—	7	1	no	—
499	#3242	—	7	1	no	—
500	#3242	—	7	1	no	—
501	#3237	—	7	1	no	—
502	#3231	—	7	1	no	—
503	#3123	—	7	1	no	—
504	#3123	—	7	1	no	—
505	#3123	—	7	1	no	—
506	#3123	D₇	1	1	yes	characteristic
507	#3110	—	7	1	no	—
508	#3101	—	7	1	no	—
509	#2985	—	7	1	no	—
510	C₂⁴×C₇	—	2	1	no	—
511	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
512	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂×C₇×D₄	—	2	2	no	—
514	C₂×C₇×D₄	—	2	2	no	—
515	C₂×C₇×D₄	—	2	1	no	—
516	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
517	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	—	2	1	no	—
519	C₂²×C₄×C₇	—	2	1	no	—
520	C₂²×C₄×C₇	—	2	1	no	—
521	C₂²×C₄×C₇	—	2	1	no	—
522	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
523	C₂²×Dic₇	—	2	1	no	—
524	C₂²×Dic₇	—	2	1	no	—
525	C₂²×Dic₇	—	2	1	no	—
526	C₂²×Dic₇	—	2	1	no	—
527	C₂²×Dic₇	—	2	1	no	—
528	C₂²×Dic₇	—	2	1	no	—
529	C₂²×Dic₇	—	2	1	no	—
530	C₂²×Dic₇	—	2	1	no	—
531	C₂²×Dic₇	—	2	1	no	—
532	C₂²×Dic₇	—	8	2	no	—
533	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
535	C₂×Dic₁₄	—	2	1	no	—
536	C₂×Dic₁₄	—	2	1	no	—
537	C₂×Dic₁₄	—	2	1	no	—
538	C₂×Dic₁₄	—	2	1	no	—
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	—	8	2	no	—
544	C₂×Dic₁₄	—	8	2	no	—
545	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
546	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
547	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
548	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
549	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
550	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
551	C₇×SD₁₆	—	2	2	no	—
552	C₇×SD₁₆	—	2	2	no	—
553	C₇×SD₁₆	—	2	2	no	—
554	C₇×SD₁₆	—	2	2	no	—
555	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
568	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₇×C₂²⋊C₄	—	2	1	no	—
574	C₇×C₂²⋊C₄	—	2	1	no	—
575	C₇×C₂²⋊C₄	—	2	1	no	—
576	C₇×C₂²⋊C₄	—	2	1	no	—
577	C₇×C₂²⋊C₄	—	2	1	no	—
578	C₇×C₂²⋊C₄	—	2	1	no	—
579	C₇×C₂²⋊C₄	—	2	1	no	—
580	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₄²×C₇	—	2	1	no	—
583	C₄²×C₇	—	2	1	no	—
584	C₄²×C₇	—	2	1	no	—
585	C₄²×C₇	C₂⁴	1	1	yes	characteristic
586	C₄²×C₇	C₂⁴	1	1	yes	characteristic
587	C₂²⋊Dic₇	—	2	1	no	—
588	C₂²⋊Dic₇	—	2	1	no	—
589	C₂²⋊Dic₇	—	2	1	no	—
590	C₂²⋊Dic₇	—	2	1	no	—
591	C₂²⋊Dic₇	—	2	1	no	—
592	C₂²⋊Dic₇	—	2	1	no	—
593	C₂²⋊Dic₇	—	2	1	no	—
594	C₂²⋊Dic₇	—	2	1	no	—
595	C₂²⋊Dic₇	—	2	1	no	—
596	C₂²⋊Dic₇	—	2	1	no	—
597	C₂²⋊Dic₇	—	2	1	no	—
598	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
599	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
600	#1142	—	2	2	no	—
601	#1142	—	2	2	no	—
602	#1142	—	2	2	no	—
603	#1142	—	2	2	no	—
604	C₄⋊Dic₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
620	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
621	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
622	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
623	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
624	C₄⋊Dic₇	C₂×D₄	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	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
629	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
630	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
661	Dic₇⋊C₄	—	2	1	no	—
662	Dic₇⋊C₄	—	2	1	no	—
663	Dic₇⋊C₄	—	2	1	no	—
664	Dic₇⋊C₄	—	2	1	no	—
665	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
666	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
667	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
668	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
669	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
670	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
671	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
672	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₄×Dic₇	—	2	1	no	—
674	C₄×Dic₇	—	2	1	no	—
675	C₄×Dic₇	—	2	1	no	—
676	C₄×Dic₇	—	2	1	no	—
677	C₄×Dic₇	—	2	1	no	—
678	C₄×Dic₇	—	2	1	no	—
679	C₄×Dic₇	—	2	1	no	—
680	C₄×Dic₇	—	2	1	no	—
681	C₄×Dic₇	—	2	1	no	—
682	C₄×Dic₇	—	2	1	no	—
683	C₄×Dic₇	—	2	1	no	—
684	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
690	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
693	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
694	#564	—	14	1	no	—
695	#564	—	14	1	no	—
696	#557	—	7	1	no	—
697	#557	—	7	1	no	—
698	#557	—	7	1	no	—
699	#557	—	7	1	no	—
700	#557	—	7	1	no	—
701	#557	—	7	1	no	—
702	#557	—	7	1	no	—
703	#557	—	7	1	no	—
704	#557	—	14	1	no	—
705	#557	—	14	1	no	—
706	#554	—	7	1	no	—
707	#554	—	7	1	no	—
708	#554	—	7	1	no	—
709	#554	—	7	1	no	—
710	#554	—	7	1	no	—
711	#554	—	7	1	no	—
712	#554	—	14	1	no	—
713	#554	—	14	1	no	—
714	#554	—	14	1	no	—
715	D₄×Q₈	—	7	1	no	—
716	D₄×Q₈	—	7	1	no	—
717	D₄×Q₈	—	14	1	no	—
718	#544	—	7	1	no	—
719	#544	—	7	1	no	—
720	#543	—	14	1	no	—
721	#543	—	14	1	no	—
722	#541	—	7	1	no	—
723	#541	—	7	1	no	—
724	#541	—	7	1	no	—
725	#541	—	14	1	no	—
726	#541	—	14	1	no	—
727	#541	—	14	1	no	—
728	#541	—	14	1	no	—
729	#541	C₂×D₇	1	1	yes	characteristic
730	#533	—	7	1	no	—
731	#533	—	7	1	no	—
732	#533	—	7	1	no	—
733	#533	—	7	1	no	—
734	C₂×C₂²⋊Q₈	—	14	1	no	—
735	C₂×C₂²⋊Q₈	—	14	1	no	—
736	#518	—	7	1	no	—
737	#518	C₂×D₇	1	1	yes	characteristic
738	C₂×C₄×D₄	—	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	—	7	1	no	—
744	#501	—	7	1	no	—
745	#500	—	7	1	no	—
746	#499	—	7	1	no	—
747	#499	—	7	1	no	—
748	#499	—	7	1	no	—
749	#499	—	7	1	no	—
750	#498	—	7	1	no	—
751	#491	—	7	1	no	—
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	#487	—	7	1	no	—
758	#487	—	7	1	no	—
759	#487	—	7	1	no	—
760	#487	—	7	1	no	—
761	#487	—	7	1	no	—
762	#487	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#485	—	7	1	no	—
767	#485	—	7	1	no	—
768	#485	—	7	1	no	—
769	#485	C₂×D₇	1	1	yes	characteristic
770	#485	C₂×D₇	1	1	yes	characteristic
771	#484	—	7	1	no	—
772	#484	—	7	1	no	—
773	#483	—	7	1	no	—
774	#483	—	7	1	no	—
775	#479	—	7	1	no	—
776	#479	—	7	1	no	—
777	#479	—	7	1	no	—
778	#479	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#479	—	7	1	no	—
785	#479	—	7	1	no	—
786	#479	—	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	C₂×D₇	1	1	yes	characteristic
794	#478	C₂×D₇	1	1	yes	characteristic
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#477	—	7	1	no	—
799	#477	—	7	1	no	—
800	#477	—	7	1	no	—
801	#476	—	7	1	no	—
802	#476	—	7	1	no	—
803	#475	—	7	1	no	—
804	#475	—	7	1	no	—
805	#475	—	7	1	no	—
806	#475	—	7	1	no	—
807	#475	—	7	1	no	—
808	#475	—	7	1	no	—
809	#474	—	7	1	no	—
810	#474	—	7	1	no	—
811	#461	—	7	1	no	—
812	#461	—	7	1	no	—
813	#461	—	7	1	no	—
814	#461	—	7	1	no	—
815	#461	—	7	1	no	—
816	#461	—	7	1	no	—
817	#461	—	7	1	no	—
818	#461	—	7	1	no	—
819	#461	—	7	1	no	—
820	#461	—	7	1	no	—
821	#461	C₂×D₇	1	1	yes	characteristic
822	#461	C₂×D₇	1	1	yes	characteristic
823	#450	—	7	1	no	—
824	#450	—	7	1	no	—
825	#450	C₂×D₇	1	1	yes	characteristic
826	#450	C₂×D₇	1	1	yes	characteristic
827	#446	—	7	1	no	—
828	#446	—	7	1	no	—
829	#446	—	7	1	no	—
830	#446	—	7	1	no	—
831	#446	—	7	1	no	—
832	#446	—	7	1	no	—
833	C₈×Q₈	—	7	1	no	—
834	C₈×Q₈	—	7	1	no	—
835	#440	—	7	1	no	—
836	#440	—	7	1	no	—
837	#440	—	7	1	no	—
838	#440	—	7	1	no	—
839	#440	—	7	1	no	—
840	#440	—	7	1	no	—
841	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	C₂×D₇	1	1	yes	characteristic
846	#440	C₂×D₇	1	1	yes	characteristic
847	C₄×SD₁₆	—	7	1	no	—
848	C₄×SD₁₆	—	7	1	no	—
849	C₄×SD₁₆	—	7	1	no	—
850	C₄×SD₁₆	—	7	1	no	—
851	C₄×SD₁₆	—	7	1	no	—
852	C₄×SD₁₆	—	7	1	no	—
853	C₄×SD₁₆	—	7	1	no	—
854	C₄×SD₁₆	—	7	1	no	—
855	C₄×SD₁₆	—	7	1	no	—
856	C₄×SD₁₆	—	7	1	no	—
857	C₄×SD₁₆	C₂×D₇	1	1	yes	characteristic
858	C₄×SD₁₆	C₂×D₇	1	1	yes	characteristic
859	#433	—	7	1	no	—
860	#433	—	7	1	no	—
861	#433	—	7	1	no	—
862	#433	C₂×D₇	1	1	yes	characteristic
863	#432	—	7	1	no	—
864	#431	—	7	1	no	—
865	C₂³×C₇	—	2	4	no	—
866	C₂³×C₇	—	2	1	no	—
867	C₂³×C₇	—	2	1	no	—
868	C₂³×C₇	—	8	1	no	—
869	C₂³×C₇	—	8	1	no	—
870	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
871	C₇×Q₈	—	2	1	no	—
872	C₇×Q₈	—	2	1	no	—
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	2	1	no	—
875	C₇×D₄	—	2	4	no	—
876	C₇×D₄	—	2	1	no	—
877	C₇×D₄	—	2	1	no	—
878	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
879	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
885	C₂×C₄×C₇	—	2	1	no	—
886	C₂×C₄×C₇	—	2	1	no	—
887	C₂×C₄×C₇	—	2	1	no	—
888	C₂×C₄×C₇	—	8	1	no	—
889	C₂×C₄×C₇	—	8	1	no	—
890	C₂×C₄×C₇	—	8	1	no	—
891	C₂×C₄×C₇	—	8	1	no	—
892	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
893	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
897	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
898	C₂×Dic₇	—	2	2	no	—
899	C₂×Dic₇	—	2	1	no	—
900	C₂×Dic₇	—	2	1	no	—
901	C₂×Dic₇	—	2	1	no	—
902	C₂×Dic₇	—	2	1	no	—
903	C₂×Dic₇	—	2	1	no	—
904	C₂×Dic₇	—	2	1	no	—
905	C₂×Dic₇	—	2	1	no	—
906	C₂×Dic₇	—	2	1	no	—
907	C₂×Dic₇	—	4	1	no	—
908	C₂×Dic₇	—	4	2	no	—
909	C₂×Dic₇	—	4	2	no	—
910	C₂×Dic₇	—	8	1	no	—
911	C₂×Dic₇	—	8	1	no	—
912	C₂×Dic₇	—	8	1	no	—
913	C₂×Dic₇	—	8	1	no	—
914	C₂×Dic₇	—	8	1	no	—
915	C₂×Dic₇	—	8	1	no	—
916	C₂×Dic₇	—	8	1	no	—
917	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
918	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
919	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
920	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
921	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
922	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
924	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
925	Dic₁₄	—	2	2	no	—
926	Dic₁₄	—	2	2	no	—
927	Dic₁₄	—	2	1	no	—
928	Dic₁₄	—	2	1	no	—
929	Dic₁₄	—	2	1	no	—
930	Dic₁₄	—	2	1	no	—
931	Dic₁₄	—	4	1	no	—
932	Dic₁₄	—	4	1	no	—
933	Dic₁₄	—	4	2	no	—
934	Dic₁₄	—	4	2	no	—
935	Dic₁₄	—	4	2	no	—
936	Dic₁₄	—	8	1	no	—
937	Dic₁₄	—	8	1	no	—
938	Dic₁₄	—	8	1	no	—
939	Dic₁₄	—	8	1	no	—
940	Dic₁₄	—	8	1	no	—
941	C₇×C₈	—	2	1	no	—
942	C₇×C₈	—	2	1	no	—
943	C₇×C₈	—	2	1	no	—
944	C₇×C₈	—	2	1	no	—
945	C₇⋊C₈	—	2	1	no	—
946	C₇⋊C₈	—	2	1	no	—
947	C₇⋊C₈	—	2	1	no	—
948	C₇⋊C₈	—	2	1	no	—
949	C₂²×Q₈	—	14	1	no	—
950	C₂²×Q₈	—	14	1	no	—
951	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
952	C₂³×C₄	—	14	1	no	—
953	C₂×SD₁₆	—	7	1	no	—
954	C₂×SD₁₆	—	7	1	no	—
955	C₂×SD₁₆	—	7	1	no	—
956	C₂×SD₁₆	—	7	1	no	—
957	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
958	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
959	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
960	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
961	C₄⋊Q₈	—	7	1	no	—
962	C₄⋊Q₈	—	7	1	no	—
963	C₄⋊Q₈	—	7	1	no	—
964	C₄⋊Q₈	—	7	1	no	—
965	C₄⋊Q₈	—	7	1	no	—
966	C₄⋊Q₈	—	7	1	no	—
967	C₄⋊Q₈	—	7	1	no	—
968	C₄⋊Q₈	—	7	1	no	—
969	C₄⋊Q₈	—	7	1	no	—
970	C₄⋊Q₈	—	7	1	no	—
971	C₄⋊Q₈	—	7	1	no	—
972	C₄⋊Q₈	—	7	1	no	—
973	C₄⋊Q₈	—	7	1	no	—
974	C₄⋊Q₈	—	7	1	no	—
975	C₄⋊Q₈	—	7	1	no	—
976	C₄⋊Q₈	—	14	1	no	—
977	C₄⋊Q₈	—	14	1	no	—
978	C₄⋊Q₈	—	14	1	no	—
979	C₄⋊Q₈	—	14	1	no	—
980	C₄⋊Q₈	—	14	1	no	—
981	C₄⋊Q₈	—	14	1	no	—
982	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
983	#126	—	2	1	no	—
984	#126	—	2	1	no	—
985	#126	—	14	1	no	—
986	#126	—	14	1	no	—
987	#126	—	14	1	no	—
988	#126	—	14	1	no	—
989	#126	—	14	1	no	—
990	#126	—	14	1	no	—
991	#125	—	2	1	no	—
992	#125	—	2	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	—	7	1	no	—
1001	#125	—	7	1	no	—
1002	#125	—	7	1	no	—
1003	#125	—	7	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	—	14	1	no	—
1024	#125	—	14	1	no	—
1025	#125	—	14	1	no	—
1026	#125	—	14	1	no	—
1027	#125	—	14	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	C₂²×D₇	1	1	yes	characteristic
1035	C₂²⋊Q₈	—	7	1	no	—
1036	C₂²⋊Q₈	—	7	1	no	—
1037	C₂²⋊Q₈	—	7	1	no	—
1038	C₂²⋊Q₈	—	7	1	no	—
1039	C₂²⋊Q₈	—	7	1	no	—
1040	C₂²⋊Q₈	—	7	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	—	14	1	no	—
1061	C₂²⋊Q₈	—	14	1	no	—
1062	C₂²⋊Q₈	—	14	1	no	—
1063	C₂²⋊Q₈	—	14	1	no	—
1064	C₂²⋊Q₈	—	14	1	no	—
1065	C₂²⋊Q₈	—	14	1	no	—
1066	C₂²⋊Q₈	—	14	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	C₂²×D₇	1	1	yes	characteristic
1074	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1075	C₄×Q₈	—	7	1	no	—
1076	C₄×Q₈	—	7	1	no	—
1077	C₄×Q₈	—	7	1	no	—
1078	C₄×Q₈	—	7	1	no	—
1079	C₄×Q₈	—	7	1	no	—
1080	C₄×Q₈	—	7	1	no	—
1081	C₄×Q₈	—	7	1	no	—
1082	C₄×Q₈	—	7	1	no	—
1083	C₄×Q₈	—	7	1	no	—
1084	C₄×Q₈	—	7	1	no	—
1085	C₄×Q₈	—	7	1	no	—
1086	C₄×Q₈	—	7	1	no	—
1087	C₄×Q₈	—	7	1	no	—
1088	C₄×Q₈	—	7	1	no	—
1089	C₄×Q₈	—	14	1	no	—
1090	C₄×Q₈	—	14	1	no	—
1091	C₄×Q₈	—	14	1	no	—
1092	C₄×Q₈	—	14	1	no	—
1093	C₄×Q₈	—	14	1	no	—
1094	C₄×Q₈	—	14	1	no	—
1095	C₄×Q₈	—	14	1	no	—
1096	C₄×Q₈	—	14	1	no	—
1097	C₄×Q₈	—	14	1	no	—
1098	C₄×Q₈	—	14	1	no	—
1099	C₄×Q₈	—	14	1	no	—
1100	C₄×Q₈	—	14	1	no	—
1101	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1102	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1103	C₄×D₄	—	2	1	no	—
1104	C₄×D₄	—	2	1	no	—
1105	C₄×D₄	—	7	1	no	—
1106	C₄×D₄	—	7	1	no	—
1107	C₄×D₄	—	7	1	no	—
1108	C₄×D₄	—	7	1	no	—
1109	C₄×D₄	—	7	1	no	—
1110	C₄×D₄	—	7	1	no	—
1111	C₄×D₄	—	7	1	no	—
1112	C₄×D₄	—	7	1	no	—
1113	C₄×D₄	—	14	1	no	—
1114	C₄×D₄	—	14	1	no	—
1115	C₄×D₄	—	14	1	no	—
1116	C₄×D₄	—	14	1	no	—
1117	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1118	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1119	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1120	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1121	#117	—	7	1	no	—
1122	#117	—	7	1	no	—
1123	#117	—	14	1	no	—
1124	#117	—	14	1	no	—
1125	#117	C₂²×D₇	1	1	yes	characteristic
1126	#117	C₂²×D₇	1	1	yes	characteristic
1127	C₂×C₄⋊C₄	—	7	1	no	—
1128	C₂×C₄⋊C₄	—	14	1	no	—
1129	C₂×C₄⋊C₄	—	14	1	no	—
1130	C₂×C₄⋊C₄	—	14	1	no	—
1131	C₂×C₄⋊C₄	—	14	1	no	—
1132	C₂×C₄⋊C₄	—	14	1	no	—
1133	C₂×C₄⋊C₄	—	14	1	no	—
1134	C₂×C₂²⋊C₄	—	2	1	no	—
1135	C₂×C₂²⋊C₄	—	2	1	no	—
1136	C₂×C₂²⋊C₄	—	14	1	no	—
1137	C₂×C₂²⋊C₄	—	14	1	no	—
1138	C₂×C₂²⋊C₄	—	14	1	no	—
1139	C₂×C₄²	—	7	1	no	—
1140	#107	—	7	1	no	—
1141	#107	—	7	1	no	—
1142	#107	—	7	1	no	—
1143	#107	—	7	1	no	—
1144	#107	—	7	1	no	—
1145	#107	—	7	1	no	—
1146	#107	—	7	1	no	—
1147	#107	—	7	1	no	—
1148	#107	—	7	1	no	—
1149	#107	—	7	1	no	—
1150	#107	C₂²×D₇	1	1	yes	characteristic
1151	#107	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1159	#106	—	7	1	no	—
1160	#106	—	7	1	no	—
1161	#106	—	7	1	no	—
1162	#106	C₂²×D₇	1	1	yes	characteristic
1163	#106	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1169	C₄⋊C₈	—	7	1	no	—
1170	C₄⋊C₈	—	7	1	no	—
1171	C₄⋊C₈	—	7	1	no	—
1172	C₄⋊C₈	—	7	1	no	—
1173	C₄⋊C₈	—	7	1	no	—
1174	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1175	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1195	#103	—	7	1	no	—
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	#102	—	7	1	no	—
1201	#102	—	7	1	no	—
1202	#102	—	7	1	no	—
1203	#102	—	7	1	no	—
1204	#102	C₂²×D₇	1	1	yes	characteristic
1205	#102	C₂²×D₇	1	1	yes	characteristic
1206	#102	C₂²×D₇	1	1	yes	characteristic
1207	#102	C₂²×D₇	1	1	yes	characteristic
1208	C₂²⋊C₈	—	7	1	no	—
1209	C₂²⋊C₈	—	7	1	no	—
1210	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1211	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1212	#97	—	7	1	no	—
1213	#97	—	7	1	no	—
1214	#97	—	7	1	no	—
1215	#97	—	7	1	no	—
1216	#97	—	7	1	no	—
1217	#97	C₂²×D₇	1	1	yes	characteristic
1218	C₄×C₈	—	7	1	no	—
1219	C₄×C₈	—	7	1	no	—
1220	C₄×C₈	—	7	1	no	—
1221	C₄×C₈	—	7	1	no	—
1222	C₄×C₈	—	7	1	no	—
1223	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1224	C₂²×C₇	—	2	1	no	—
1225	C₂²×C₇	—	2	1	no	—
1226	C₂²×C₇	—	2	2	no	—
1227	C₂²×C₇	—	2	2	no	—
1228	C₂²×C₇	—	2	1	no	—
1229	C₂²×C₇	—	4	1	no	—
1230	C₂²×C₇	—	4	1	no	—
1231	C₂²×C₇	—	4	1	no	—
1232	C₂²×C₇	—	4	1	no	—
1233	C₂²×C₇	—	8	4	no	—
1234	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1235	C₄×C₇	—	2	1	no	—
1236	C₄×C₇	—	2	1	no	—
1237	C₄×C₇	—	2	1	no	—
1238	C₄×C₇	—	2	1	no	—
1239	C₄×C₇	—	2	1	no	—
1240	C₄×C₇	—	4	1	no	—
1241	C₄×C₇	—	4	1	no	—
1242	C₄×C₇	—	4	1	no	—
1243	C₄×C₇	—	4	1	no	—
1244	C₄×C₇	—	4	1	no	—
1245	C₄×C₇	—	4	1	no	—
1246	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1247	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1248	Dic₇	—	2	1	no	—
1249	Dic₇	—	2	1	no	—
1250	Dic₇	—	2	1	no	—
1251	Dic₇	—	2	1	no	—
1252	Dic₇	—	2	1	no	—
1253	Dic₇	—	2	1	no	—
1254	Dic₇	—	2	1	no	—
1255	Dic₇	—	4	1	no	—
1256	Dic₇	—	4	1	no	—
1257	Dic₇	—	4	1	no	—
1258	Dic₇	—	4	1	no	—
1259	Dic₇	—	4	1	no	—
1260	Dic₇	—	4	1	no	—
1261	Dic₇	—	4	1	no	—
1262	Dic₇	—	4	1	no	—
1263	Dic₇	#577	1	2	yes	—
1264	C₂⁴	—	2	1	no	—
1265	C₂×Q₈	—	7	1	no	—
1266	C₂×Q₈	—	7	1	no	—
1267	C₂×Q₈	—	7	1	no	—
1268	C₂×Q₈	—	7	1	no	—
1269	C₂×Q₈	—	7	1	no	—
1270	C₂×Q₈	—	7	1	no	—
1271	C₂×Q₈	—	14	1	no	—
1272	C₂×Q₈	—	14	1	no	—
1273	C₂×Q₈	—	14	1	no	—
1274	C₂×Q₈	—	14	1	no	—
1275	C₂×Q₈	—	14	1	no	—
1276	C₂×Q₈	—	14	1	no	—
1277	C₂×Q₈	—	14	1	no	—
1278	C₂×Q₈	—	14	1	no	—
1279	C₂×Q₈	—	56	2	no	—
1280	C₂×Q₈	—	56	2	no	—
1281	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1282	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1283	C₂×D₄	—	2	2	no	—
1284	C₂×D₄	—	2	2	no	—
1285	C₂×D₄	—	2	1	no	—
1286	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1287	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	1	no	—
1291	C₂²×C₄	—	2	1	no	—
1292	C₂²×C₄	—	7	1	no	—
1293	C₂²×C₄	—	7	1	no	—
1294	C₂²×C₄	—	14	1	no	—
1295	C₂²×C₄	—	14	1	no	—
1296	C₂²×C₄	—	14	1	no	—
1297	C₂²×C₄	—	14	1	no	—
1298	C₂²×C₄	—	14	1	no	—
1299	C₂²×C₄	—	14	1	no	—
1300	C₂²×C₄	—	14	1	no	—
1301	C₂²×C₄	—	14	1	no	—
1302	C₂²×C₄	—	14	1	no	—
1303	C₂²×C₄	—	56	2	no	—
1304	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1305	SD₁₆	—	2	2	no	—
1306	SD₁₆	—	2	2	no	—
1307	SD₁₆	—	2	2	no	—
1308	SD₁₆	—	2	2	no	—
1309	SD₁₆	—	14	2	no	—
1310	SD₁₆	—	14	2	no	—
1311	SD₁₆	—	14	2	no	—
1312	SD₁₆	—	14	2	no	—
1313	C₂×C₈	—	7	1	no	—
1314	C₂×C₈	—	7	1	no	—
1315	C₂×C₈	—	7	1	no	—
1316	C₂×C₈	—	7	1	no	—
1317	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1318	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1319	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1320	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	2	1	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	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	—	7	1	no	—
1337	C₄⋊C₄	—	7	1	no	—
1338	C₄⋊C₄	—	7	1	no	—
1339	C₄⋊C₄	—	7	1	no	—
1340	C₄⋊C₄	—	7	1	no	—
1341	C₄⋊C₄	—	7	1	no	—
1342	C₄⋊C₄	—	7	1	no	—
1343	C₄⋊C₄	—	7	1	no	—
1344	C₄⋊C₄	—	7	1	no	—
1345	C₄⋊C₄	—	7	1	no	—
1346	C₄⋊C₄	—	7	1	no	—
1347	C₄⋊C₄	—	7	1	no	—
1348	C₄⋊C₄	—	7	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	—	14	1	no	—
1384	C₄⋊C₄	—	14	1	no	—
1385	C₄⋊C₄	—	14	1	no	—
1386	C₄⋊C₄	—	14	1	no	—
1387	C₄⋊C₄	—	14	1	no	—
1388	C₄⋊C₄	—	14	1	no	—
1389	C₄⋊C₄	—	14	1	no	—
1390	C₄⋊C₄	—	14	1	no	—
1391	C₄⋊C₄	—	14	1	no	—
1392	C₄⋊C₄	—	14	1	no	—
1393	C₄⋊C₄	—	14	1	no	—
1394	C₄⋊C₄	—	14	1	no	—
1395	C₄⋊C₄	—	14	1	no	—
1396	C₄⋊C₄	—	14	1	no	—
1397	C₄⋊C₄	—	14	1	no	—
1398	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1399	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1400	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1401	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1402	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1403	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	7	1	no	—
1412	C₂²⋊C₄	—	7	1	no	—
1413	C₂²⋊C₄	—	14	1	no	—
1414	C₂²⋊C₄	—	14	1	no	—
1415	C₂²⋊C₄	—	14	1	no	—
1416	C₂²⋊C₄	—	14	1	no	—
1417	C₂²⋊C₄	—	14	1	no	—
1418	C₂²⋊C₄	—	14	1	no	—
1419	C₂²⋊C₄	—	14	1	no	—
1420	C₂²⋊C₄	—	14	1	no	—
1421	C₂²⋊C₄	—	14	1	no	—
1422	C₂²⋊C₄	—	14	1	no	—
1423	C₂²⋊C₄	—	14	1	no	—
1424	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1425	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	7	1	no	—
1430	C₄²	—	7	1	no	—
1431	C₄²	—	7	1	no	—
1432	C₄²	—	7	1	no	—
1433	C₄²	—	7	1	no	—
1434	C₄²	—	7	1	no	—
1435	C₄²	—	14	1	no	—
1436	C₄²	—	14	1	no	—
1437	C₄²	—	14	1	no	—
1438	C₄²	—	14	1	no	—
1439	C₄²	—	14	1	no	—
1440	C₄²	—	14	1	no	—
1441	C₄²	—	14	1	no	—
1442	C₄²	—	14	1	no	—
1443	C₄²	—	14	1	no	—
1444	C₄²	—	14	1	no	—
1445	C₄²	—	14	1	no	—
1446	C₄²	C₂³×D₇	1	1	yes	characteristic
1447	C₄²	C₂³×D₇	1	1	yes	characteristic
1448	C₂×C₇	—	4	1	no	—
1449	C₂×C₇	—	4	2	no	—
1450	C₂×C₇	—	4	2	no	—
1451	C₂×C₇	#3486	1	1	yes	characteristic
1452	C₂×C₇	C₂×#577	1	1	yes	characteristic
1453	C₂×C₇	#3586	1	1	yes	characteristic
1454	C₂³	—	2	4	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	8	1	no	—
1458	C₂³	—	8	1	no	—
1459	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1460	Q₈	—	2	1	no	—
1461	Q₈	—	2	1	no	—
1462	Q₈	—	2	1	no	—
1463	Q₈	—	2	1	no	—
1464	Q₈	—	14	2	no	—
1465	Q₈	—	14	2	no	—
1466	Q₈	—	14	1	no	—
1467	Q₈	—	14	1	no	—
1468	Q₈	—	14	1	no	—
1469	Q₈	—	14	1	no	—
1470	Q₈	—	28	1	no	—
1471	Q₈	—	28	1	no	—
1472	Q₈	—	28	2	no	—
1473	Q₈	—	28	2	no	—
1474	Q₈	—	28	2	no	—
1475	Q₈	—	56	1	no	—
1476	Q₈	—	56	1	no	—
1477	Q₈	—	56	1	no	—
1478	Q₈	—	56	1	no	—
1479	Q₈	—	56	1	no	—
1480	D₄	—	2	4	no	—
1481	D₄	—	2	1	no	—
1482	D₄	—	2	1	no	—
1483	D₄	#6554	1	2	yes	—
1484	D₄	#6554	1	2	yes	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	7	1	no	—
1494	C₂×C₄	—	7	1	no	—
1495	C₂×C₄	—	7	1	no	—
1496	C₂×C₄	—	7	1	no	—
1497	C₂×C₄	—	7	1	no	—
1498	C₂×C₄	—	7	1	no	—
1499	C₂×C₄	—	7	1	no	—
1500	C₂×C₄	—	7	1	no	—
1501	C₂×C₄	—	8	1	no	—
1502	C₂×C₄	—	8	1	no	—
1503	C₂×C₄	—	8	1	no	—
1504	C₂×C₄	—	8	1	no	—
1505	C₂×C₄	—	14	2	no	—
1506	C₂×C₄	—	14	1	no	—
1507	C₂×C₄	—	14	1	no	—
1508	C₂×C₄	—	14	1	no	—
1509	C₂×C₄	—	14	1	no	—
1510	C₂×C₄	—	14	1	no	—
1511	C₂×C₄	—	14	1	no	—
1512	C₂×C₄	—	14	1	no	—
1513	C₂×C₄	—	14	1	no	—
1514	C₂×C₄	—	28	2	no	—
1515	C₂×C₄	—	28	2	no	—
1516	C₂×C₄	—	28	1	no	—
1517	C₂×C₄	—	56	1	no	—
1518	C₂×C₄	—	56	1	no	—
1519	C₂×C₄	—	56	1	no	—
1520	C₂×C₄	—	56	1	no	—
1521	C₂×C₄	—	56	1	no	—
1522	C₂×C₄	—	56	1	no	—
1523	C₂×C₄	—	56	1	no	—
1524	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1525	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1526	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1527	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1528	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1529	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1530	C₈	—	2	1	no	—
1531	C₈	—	2	1	no	—
1532	C₈	—	2	1	no	—
1533	C₈	—	2	1	no	—
1534	C₈	—	14	1	no	—
1535	C₈	—	14	1	no	—
1536	C₈	—	14	1	no	—
1537	C₈	—	14	1	no	—
1538	C₇	#61848	1	1	yes	characteristic, complemented, Sylow
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	1	no	—
1541	C₂²	—	2	1	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	8	4	no	—
1549	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1550	C₄	—	2	1	no	—
1551	C₄	—	2	1	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	7	2	no	—
1562	C₄	—	14	1	no	—
1563	C₄	—	14	1	no	—
1564	C₄	—	14	1	no	—
1565	C₄	—	14	1	no	—
1566	C₄	—	14	1	no	—
1567	C₄	—	14	1	no	—
1568	C₄	—	14	1	no	—
1569	C₄	—	28	1	no	—
1570	C₄	—	28	1	no	—
1571	C₄	—	28	1	no	—
1572	C₄	—	28	1	no	—
1573	C₄	—	28	1	no	—
1574	C₄	—	28	1	no	—
1575	C₄	—	28	1	no	—
1576	C₄	—	28	1	no	—
1577	C₄	C₂×#6554	1	1	yes	characteristic
1578	C₄	C₂×#6554	1	1	yes	characteristic
1579	C₂	—	4	1	no	—
1580	C₂	—	4	2	no	—
1581	C₂	—	4	2	no	—
1582	C₂	#11743090	1	1	yes	characteristic
1583	C₂	D₇×#577	1	1	yes	characteristic
1584	C₂	#11744276	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×#3123	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	C₂²×C₇×D₄	C₂³
hypercenter	#3123	D₇
hypocenter	C₇	#61848
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3123

Complements

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

N	H ≅ G/N	type
1. #11743570	C₂	semidirect
4. #11740887	C₂	semidirect
6. #11738950	C₂	semidirect
7. #11738949	C₂	semidirect
8. #11738947	C₂	semidirect
9. #11738945	C₂	semidirect
10. #11738606	C₂	semidirect
11. #11738605	C₂	semidirect
12. #11738604	C₂	semidirect
13. #11738602	C₂	semidirect
14. #11737863	C₂	semidirect
15. #11737863	C₂	semidirect
16. #11737862	C₂	semidirect
17. #11737859	C₂	semidirect
22. #11737207	C₂	semidirect
23. #11737205	C₂	semidirect
24. #11737200	C₂	semidirect
25. #11737200	C₂	semidirect
26. #11737081	C₂	semidirect
27. #11737078	C₂	semidirect
28. #11737073	C₂	semidirect
29. #11737064	C₂	semidirect
30. #11736808	C₂	semidirect
31. #11736804	C₂	semidirect
36. #90412	C₂²	semidirect
37. #90412	C₂²	semidirect
46. #90376	C₂²	semidirect
47. #90376	C₂²	semidirect
52. #90260	C₂²	semidirect
53. #90260	C₂²	semidirect
54. #90258	C₂²	semidirect
55. #90258	C₂²	semidirect
108. #89854	C₂²	semidirect
109. #89853	C₂²	semidirect
110. #89837	C₂²	semidirect
111. #89836	C₂²	semidirect
116. #89794	C₂²	semidirect
117. #89794	C₂²	semidirect
118. #89793	C₂²	semidirect
119. #89792	C₂²	semidirect
131. #89650	C₂²	semidirect
132. #89649	C₂²	semidirect
133. #89649	C₂²	semidirect
134. #89648	C₂²	semidirect
135. #89648	C₂²	semidirect
136. #89647	C₂²	semidirect
137. #89647	C₂²	semidirect
138. #89646	C₂²	semidirect
139. #89630	C₂²	semidirect
140. #89629	C₂²	semidirect
141. #89629	C₂²	semidirect
142. #89628	C₂²	semidirect
143. #89628	C₂²	semidirect
144. #89627	C₂²	semidirect
145. #89626	C₂²	semidirect
146. #89626	C₂²	semidirect
147. #89623	C₂²	semidirect
148. #89622	C₂²	semidirect
149. #89603	C₂²	semidirect
150. #89602	C₂²	semidirect
151. #89601	C₂²	semidirect
152. #89601	C₂²	semidirect
153. #89600	C₂²	semidirect
154. #89600	C₂²	semidirect
155. #89571	C₂²	semidirect
156. #89571	C₂²	semidirect
157. #89569	C₂²	semidirect
158. #89569	C₂²	semidirect
159. #89569	C₂²	semidirect
160. #89569	C₂²	semidirect
161. #89568	C₂²	semidirect
162. #89568	C₂²	semidirect
163. #89566	C₂²	semidirect
164. #89566	C₂²	semidirect
165. #89564	C₂²	semidirect
166. #89564	C₂²	semidirect
167. #89564	C₂²	semidirect
168. #89564	C₂²	semidirect
169. #89563	C₂²	semidirect
170. #89563	C₂²	semidirect
195. #89475	C₂²	semidirect
196. #89474	C₂²	semidirect
197. #89473	C₂²	semidirect
198. #89473	C₂²	semidirect
199. #89455	C₂²	semidirect
200. #89453	C₂²	semidirect
201. #89451	C₂²	semidirect
202. C₈×Dic₁₄	C₂²	semidirect
1538. C₇	#61848	semidirect

Maximal subgroups

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

subgroup	index
#11743570	2
#11742928	2
C₇×#3123	2
#11740887	2
#11739990	2
#11738950	2
#11738949	2
#11738947	2
#11738945	2
#11738606	2
#11738605	2
#11738604	2
#11738602	2
#11737863	2
#11737862	2
#11737859	2
#11737582	2
#11737579	2
#11737577	2
#11737207	2
#11737205	2
#11737200	2
#11737081	2
#11737078	2
#11737073	2
#11737064	2
#11736808	2
#11736804	2
#61848	7