Subgroups — #14226142

Order 1792.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₇×#544	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743591	C₂	1	1	yes	maximal, characteristic
3	C₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740923	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740900	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739434	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739422	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739343	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739338	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739139	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739128	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739095	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739086	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738961	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738949	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738872	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738867	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738817	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738806	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738770	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738761	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738686	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738676	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738621	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738612	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738513	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738506	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738464	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738457	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736816	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736809	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#542	C₂²	1	1	yes	characteristic
34	#90424	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	C₂²	1	1	yes	characteristic
39	D₇×C₄⋊Q₈	—	2	1	no	—
40	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	#90398	—	2	1	no	—
43	#90397	—	2	1	no	—
44	#90380	—	2	1	no	—
45	#90380	C₂²	1	1	yes	characteristic
46	#90380	C₂²	1	1	yes	characteristic
47	D₇×#125	—	2	1	no	—
48	D₇×#125	C₂²	1	1	yes	characteristic
49	D₇×#125	C₂²	1	1	yes	characteristic
50	#90373	C₂²	1	1	yes	characteristic
51	#90371	—	2	1	no	—
52	#90369	—	2	1	no	—
53	#90359	C₂²	1	1	yes	characteristic
54	#90348	—	2	1	no	—
55	#90340	—	2	1	no	—
56	#90329	—	2	1	no	—
57	#90318	C₂²	1	1	yes	characteristic
58	D₇×C₂²⋊Q₈	—	2	1	no	—
59	D₇×C₂²⋊Q₈	—	2	1	no	—
60	#90316	C₂²	1	1	yes	characteristic
61	#90315	—	2	1	no	—
62	#90314	—	2	1	no	—
63	#90314	—	2	1	no	—
64	#90310	C₂²	1	1	yes	characteristic
65	#90297	C₂²	1	1	yes	characteristic
66	#90274	C₂²	1	1	yes	characteristic
67	C₄×#1161	C₂²	1	1	yes	characteristic
68	#90253	C₂²	1	1	yes	characteristic
69	C₄×#1159	C₂²	1	1	yes	characteristic
70	#90225	C₂²	1	1	yes	characteristic
71	D₇×#117	C₂²	1	1	yes	characteristic
72	D₇×#117	C₂²	1	1	yes	characteristic
73	#90210	C₂²	1	1	yes	characteristic
74	#90210	C₂²	1	1	yes	characteristic
75	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#498	C₂²	1	1	yes	characteristic, complemented
79	C₇×#489	C₂²	1	1	yes	characteristic, complemented
80	C₇×#488	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic
82	C₇×#483	C₂²	1	1	yes	characteristic
83	C₇×#482	C₂²	1	1	yes	characteristic
84	C₇×#481	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#478	C₂²	1	1	yes	characteristic, complemented
87	C₇×#476	C₂²	1	1	yes	characteristic, complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#433	C₂²	1	1	yes	characteristic
90	#89863	C₂²	1	1	yes	characteristic, complemented
91	#89861	C₂²	1	1	yes	characteristic, complemented
92	#89859	C₂²	1	1	yes	characteristic, complemented
93	#89852	C₂²	1	1	yes	characteristic, complemented
94	#89851	C₂²	1	1	yes	characteristic, complemented
95	#89850	C₂²	1	1	yes	characteristic, complemented
96	#89840	C₂²	1	1	yes	characteristic, complemented
97	#89838	C₂²	1	1	yes	characteristic, complemented
98	#89837	C₂²	1	1	yes	characteristic, complemented
99	#89835	C₂²	1	1	yes	characteristic, complemented
100	#89828	C₂²	1	1	yes	characteristic, complemented
101	#89827	C₂²	1	1	yes	characteristic, complemented
102	#89817	C₂²	1	1	yes	characteristic
103	#89815	C₂²	1	1	yes	characteristic
104	#89807	C₂²	1	1	yes	characteristic
105	#89806	C₂²	1	1	yes	characteristic
106	#89794	C₂²	1	1	yes	characteristic, complemented
107	#89792	C₂²	1	1	yes	characteristic, complemented
108	#89781	C₂²	1	1	yes	characteristic, complemented
109	#89780	C₂²	1	1	yes	characteristic, complemented
110	#89775	C₂²	1	1	yes	characteristic
111	#89772	C₂²	1	1	yes	characteristic
112	#89768	C₂²	1	1	yes	characteristic
113	#89742	C₂²	1	1	yes	characteristic
114	#89739	C₂²	1	1	yes	characteristic
115	#89663	C₂²	1	1	yes	characteristic, complemented
116	#89660	C₂²	1	1	yes	characteristic
117	#89657	C₂²	1	1	yes	characteristic
118	#89653	C₂²	1	1	yes	characteristic
119	#89653	C₂²	1	1	yes	characteristic
120	#89650	C₂²	1	1	yes	characteristic, complemented
121	#89650	C₂²	1	1	yes	characteristic, complemented
122	#89649	C₂²	1	1	yes	characteristic, complemented
123	#89643	C₂²	1	1	yes	characteristic, complemented
124	#89642	C₂²	1	1	yes	characteristic, complemented
125	#89642	C₂²	1	1	yes	characteristic, complemented
126	#89639	C₂²	1	1	yes	characteristic
127	#89638	C₂²	1	1	yes	characteristic
128	#89635	C₂²	1	1	yes	characteristic
129	#89635	C₂²	1	1	yes	characteristic
130	#89634	C₂²	1	1	yes	characteristic
131	#89634	C₂²	1	1	yes	characteristic
132	#89633	C₂²	1	1	yes	characteristic
133	#89633	C₂²	1	1	yes	characteristic
134	#89633	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	#89630	C₂²	1	1	yes	characteristic, complemented
139	#89630	C₂²	1	1	yes	characteristic, complemented
140	#89629	C₂²	1	1	yes	characteristic, complemented
141	#89628	C₂²	1	1	yes	characteristic, complemented
142	#89628	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	#89622	C₂²	1	1	yes	characteristic, complemented
148	#89619	C₂²	1	1	yes	characteristic, complemented
149	#89618	C₂²	1	1	yes	characteristic, complemented
150	#89612	C₂²	1	1	yes	characteristic
151	#89612	C₂²	1	1	yes	characteristic
152	#89609	C₂²	1	1	yes	characteristic
153	#89609	C₂²	1	1	yes	characteristic
154	#89601	C₂²	1	1	yes	characteristic, complemented
155	#89587	C₂²	1	1	yes	characteristic
156	#89586	C₂²	1	1	yes	characteristic
157	#89581	C₂²	1	1	yes	characteristic
158	#89581	C₂²	1	1	yes	characteristic
159	#89575	C₂²	1	1	yes	characteristic
160	#89575	C₂²	1	1	yes	characteristic
161	#89575	C₂²	1	1	yes	characteristic
162	#89575	C₂²	1	1	yes	characteristic
163	#89571	C₂²	1	1	yes	characteristic, complemented
164	#89569	C₂²	1	1	yes	characteristic, complemented
165	#89569	C₂²	1	1	yes	characteristic, complemented
166	#89568	C₂²	1	1	yes	characteristic, complemented
167	#89566	C₂²	1	1	yes	characteristic, complemented
168	#89566	C₂²	1	1	yes	characteristic, complemented
169	#89564	C₂²	1	1	yes	characteristic, complemented
170	#89564	C₂²	1	1	yes	characteristic, complemented
171	#89556	C₂²	1	1	yes	characteristic
172	#89551	C₂²	1	1	yes	characteristic
173	#89546	C₂²	1	1	yes	characteristic
174	#89546	C₂²	1	1	yes	characteristic
175	#89543	C₂²	1	1	yes	characteristic
176	#89543	C₂²	1	1	yes	characteristic
177	#89543	C₂²	1	1	yes	characteristic
178	#89543	C₂²	1	1	yes	characteristic
179	#89538	C₂²	1	1	yes	characteristic, complemented
180	#89536	C₂²	1	1	yes	characteristic, complemented
181	#89536	C₂²	1	1	yes	characteristic, complemented
182	#89535	C₂²	1	1	yes	characteristic, complemented
183	#89532	C₂²	1	1	yes	characteristic, complemented
184	#89532	C₂²	1	1	yes	characteristic, complemented
185	#89531	C₂²	1	1	yes	characteristic, complemented
186	#89531	C₂²	1	1	yes	characteristic, complemented
187	#89509	C₂²	1	1	yes	characteristic
188	#89508	C₂²	1	1	yes	characteristic
189	#89498	C₂²	1	1	yes	characteristic
190	#89498	C₂²	1	1	yes	characteristic
191	#89495	C₂²	1	1	yes	characteristic
192	#89494	C₂²	1	1	yes	characteristic
193	#89492	C₂²	1	1	yes	characteristic
194	#89492	C₂²	1	1	yes	characteristic
195	#89486	C₂²	1	1	yes	characteristic, complemented
196	#89481	C₂²	1	1	yes	characteristic
197	#89479	C₂²	1	1	yes	characteristic
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	#89469	C₂²	1	1	yes	characteristic, complemented
200	#89462	C₂²	1	1	yes	characteristic
201	C₄×#1131	C₂²	1	1	yes	characteristic
202	#89454	C₂²	1	1	yes	characteristic, complemented
203	#60867	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₇	—	2	1	no	—
206	C₂×Q₈×D₇	—	2	1	no	—
207	C₂×#1159	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇	—	2	1	no	—
209	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
210	C₇×C₄⋊Q₈	—	2	1	no	—
211	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×#126	—	2	1	no	—
215	C₇×#125	—	2	1	no	—
216	C₇×#125	C₂³	1	1	yes	characteristic
217	C₇×#125	C₂³	1	1	yes	characteristic
218	C₇×#124	—	2	1	no	—
219	C₇×#124	C₂³	1	1	yes	characteristic
220	C₇×#123	—	2	1	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₇×C₂²⋊Q₈	—	2	1	no	—
224	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×#121	C₂³	1	1	yes	characteristic
226	C₄×C₇×Q₈	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	#6510	—	2	1	no	—
232	#6509	—	2	1	no	—
233	#6509	—	2	1	no	—
234	#6509	—	2	1	no	—
235	#6509	—	2	1	no	—
236	#6509	C₂³	1	1	yes	characteristic
237	Q₈×Dic₇	—	2	1	no	—
238	Q₈×Dic₇	C₂³	1	1	yes	characteristic
239	#6507	—	2	1	no	—
240	#6507	—	2	1	no	—
241	#6507	—	2	1	no	—
242	#6507	—	2	1	no	—
243	#6507	C₂³	1	1	yes	characteristic
244	#6503	C₂³	1	1	yes	characteristic
245	#6502	—	2	1	no	—
246	#6501	—	2	1	no	—
247	#6501	C₂³	1	1	yes	characteristic
248	#6500	—	2	1	no	—
249	D₄×Dic₇	—	2	1	no	—
250	D₄×Dic₇	C₂³	1	1	yes	characteristic
251	#6493	—	2	1	no	—
252	#6493	C₂³	1	1	yes	characteristic
253	#6492	—	2	1	no	—
254	C₄×C₂²⋊D₇	—	2	1	no	—
255	#6489	C₂³	1	1	yes	characteristic
256	#6489	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
258	#6487	—	2	1	no	—
259	#6487	—	2	1	no	—
260	#6487	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	—	2	1	no	—
262	C₂×C₄×Dic₇	—	2	1	no	—
263	C₂×#1131	C₂³	1	1	yes	characteristic
264	C₂×#1131	C₂³	1	1	yes	characteristic
265	C₂×#1131	C₂³	1	1	yes	characteristic
266	C₂×#1131	C₂³	1	1	yes	characteristic
267	#6461	—	2	1	no	—
268	#6461	—	2	1	no	—
269	#6461	—	2	1	no	—
270	#6460	—	2	1	no	—
271	#6460	—	2	1	no	—
272	#6460	—	2	1	no	—
273	#6460	C₂³	1	1	yes	characteristic
274	#6459	—	2	1	no	—
275	#6459	—	2	1	no	—
276	#6459	—	2	1	no	—
277	#6459	—	2	1	no	—
278	#6459	—	2	1	no	—
279	#6458	C₂³	1	1	yes	characteristic
280	#6457	—	2	1	no	—
281	#6457	—	2	1	no	—
282	#6456	—	2	1	no	—
283	#6456	—	2	1	no	—
284	#6456	C₂³	1	1	yes	characteristic
285	#6455	—	2	1	no	—
286	#6455	D₄	1	1	yes	characteristic
287	#6455	D₄	1	1	yes	characteristic
288	#6455	C₂³	1	1	yes	characteristic
289	#6455	C₂³	1	1	yes	characteristic
290	#6455	C₂³	1	1	yes	characteristic
291	#6455	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
296	D₇×C₄⋊C₄	—	2	1	no	—
297	D₇×C₄⋊C₄	—	2	1	no	—
298	D₇×C₄⋊C₄	—	2	1	no	—
299	D₇×C₄⋊C₄	—	2	1	no	—
300	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
301	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
302	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	#6453	—	2	1	no	—
309	#6453	—	2	1	no	—
310	#6453	—	2	1	no	—
311	#6453	C₂³	1	1	yes	characteristic
312	#6453	C₂³	1	1	yes	characteristic
313	#6453	C₂³	1	1	yes	characteristic
314	#6453	C₂³	1	1	yes	characteristic
315	#6453	C₂³	1	1	yes	characteristic
316	#6453	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
339	#6449	—	2	1	no	—
340	#6449	—	2	1	no	—
341	#6448	—	2	1	no	—
342	#6448	—	2	1	no	—
343	#6447	—	2	1	no	—
344	#6447	—	2	1	no	—
345	#6447	—	2	1	no	—
346	#6446	—	2	1	no	—
347	#6446	—	2	1	no	—
348	#6446	—	2	1	no	—
349	#6446	—	2	1	no	—
350	#6445	—	2	1	no	—
351	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
352	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
353	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
354	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
355	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
356	D₇×C₂²⋊C₄	—	2	1	no	—
357	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
358	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
359	#6442	—	2	1	no	—
360	#6442	—	2	1	no	—
361	#6442	—	2	1	no	—
362	#6441	—	2	1	no	—
363	#6441	—	2	1	no	—
364	#6441	—	2	1	no	—
365	#6441	—	2	1	no	—
366	#6441	—	2	1	no	—
367	#6440	—	2	1	no	—
368	#6440	—	2	1	no	—
369	#6440	D₄	1	1	yes	characteristic
370	#6440	D₄	1	1	yes	characteristic
371	#6439	—	2	1	no	—
372	#6438	C₂³	1	1	yes	characteristic
373	C₄×D₂₈	—	2	1	no	—
374	C₄×D₂₈	C₂³	1	1	yes	characteristic
375	#6435	—	2	1	no	—
376	#6435	C₂³	1	1	yes	characteristic
377	#6435	C₂³	1	1	yes	characteristic
378	C₄²×D₇	—	2	1	no	—
379	C₄²×D₇	—	2	1	no	—
380	C₄²×D₇	C₂³	1	1	yes	characteristic
381	C₄²×D₇	C₂³	1	1	yes	characteristic
382	#6433	—	2	1	no	—
383	#6433	—	2	1	no	—
384	#6433	C₂³	1	1	yes	characteristic
385	#6433	C₂³	1	1	yes	characteristic
386	#6432	—	2	1	no	—
387	#6432	C₂³	1	1	yes	characteristic
388	#6432	C₂³	1	1	yes	characteristic
389	#6432	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×#106	C₂³	1	1	yes	characteristic
394	C₇×#106	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×#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	#6406	C₂³	1	1	yes	characteristic
418	#6406	C₂³	1	1	yes	characteristic
419	#6406	C₂³	1	1	yes	characteristic
420	#6406	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	#6395	C₂³	1	1	yes	characteristic
424	#6395	C₂³	1	1	yes	characteristic
425	#6395	C₂³	1	1	yes	characteristic
426	#6395	C₂³	1	1	yes	characteristic
427	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
428	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
429	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
431	#6392	C₂³	1	1	yes	characteristic
432	#6392	C₂³	1	1	yes	characteristic
433	#6392	C₂³	1	1	yes	characteristic
434	#6392	C₂³	1	1	yes	characteristic
435	#6392	C₂³	1	1	yes	characteristic
436	#6392	C₂³	1	1	yes	characteristic
437	#6391	C₂³	1	1	yes	characteristic
438	#6391	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	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	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	C₂×#544	—	7	1	no	—
480	#3455	—	7	1	no	—
481	#3244	—	7	1	no	—
482	#3244	—	7	1	no	—
483	#3244	—	7	1	no	—
484	#3244	D₇	1	1	yes	characteristic, complemented
485	#3243	—	7	1	no	—
486	#3243	—	7	1	no	—
487	#3243	—	7	1	no	—
488	#3243	—	7	1	no	—
489	#3242	—	7	1	no	—
490	#3242	—	7	1	no	—
491	#3242	—	7	1	no	—
492	#3242	—	7	1	no	—
493	#3241	—	7	1	no	—
494	#3241	—	7	1	no	—
495	#3241	—	7	1	no	—
496	#3241	—	7	1	no	—
497	#3166	—	7	1	no	—
498	#3165	—	7	1	no	—
499	#3142	—	7	1	no	—
500	#3141	—	7	1	no	—
501	#3093	—	7	1	no	—
502	#3093	—	7	1	no	—
503	#3092	—	7	1	no	—
504	#3092	—	7	1	no	—
505	#3080	—	7	1	no	—
506	#3080	—	7	1	no	—
507	#3079	—	7	1	no	—
508	#3079	—	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	—	2	1	no	—
514	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₇×D₄	—	2	1	no	—
516	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇	—	2	1	no	—
518	C₂²×C₄×C₇	—	2	1	no	—
519	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₇	—	2	1	no	—
521	C₂×C₂²⋊D₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂²×Dic₇	—	2	1	no	—
526	C₂²×Dic₇	—	2	1	no	—
527	C₂²×Dic₇	—	2	1	no	—
528	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
529	#1161	—	2	2	no	—
530	#1161	—	2	2	no	—
531	Q₈×D₇	—	8	2	no	—
532	Q₈×D₇	—	8	2	no	—
533	#1159	—	2	2	no	—
534	#1159	—	2	2	no	—
535	C₂×D₂₈	—	2	1	no	—
536	C₂×D₂₈	—	2	1	no	—
537	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₇	—	2	2	no	—
539	C₂×C₄×D₇	—	2	2	no	—
540	C₂×C₄×D₇	—	2	1	no	—
541	C₂×C₄×D₇	—	2	1	no	—
542	C₂×C₄×D₇	—	2	1	no	—
543	C₂×C₄×D₇	—	2	1	no	—
544	C₂×C₄×D₇	—	2	1	no	—
545	C₂×C₄×D₇	—	2	1	no	—
546	C₂×C₄×D₇	—	2	1	no	—
547	C₂×C₄×D₇	—	2	1	no	—
548	C₂×C₄×D₇	—	2	1	no	—
549	C₂×C₄×D₇	—	8	2	no	—
550	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
558	C₂×Dic₁₄	—	2	1	no	—
559	C₂×Dic₁₄	—	2	1	no	—
560	C₂×Dic₁₄	—	2	1	no	—
561	C₂×Dic₁₄	—	2	1	no	—
562	C₂×Dic₁₄	—	2	1	no	—
563	C₂×Dic₁₄	—	2	1	no	—
564	C₂×Dic₁₄	—	2	1	no	—
565	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
566	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
570	C₇×C₄⋊C₄	—	2	1	no	—
571	C₇×C₄⋊C₄	—	2	1	no	—
572	C₇×C₄⋊C₄	—	2	1	no	—
573	C₇×C₄⋊C₄	—	2	1	no	—
574	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	—	2	1	no	—
579	C₇×C₄⋊C₄	—	2	1	no	—
580	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₇×C₂²⋊C₄	—	2	1	no	—
589	C₇×C₂²⋊C₄	—	2	1	no	—
590	C₇×C₂²⋊C₄	—	2	1	no	—
591	C₇×C₂²⋊C₄	—	2	1	no	—
592	C₇×C₂²⋊C₄	—	2	1	no	—
593	C₇×C₂²⋊C₄	—	2	1	no	—
594	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₄²×C₇	—	2	1	no	—
597	C₄²×C₇	—	2	1	no	—
598	C₄²×C₇	C₂⁴	1	1	yes	characteristic
599	C₄²×C₇	C₂⁴	1	1	yes	characteristic
600	C₂²⋊Dic₇	—	2	1	no	—
601	C₂²⋊Dic₇	—	2	1	no	—
602	C₂²⋊Dic₇	—	2	1	no	—
603	C₂²⋊Dic₇	—	2	1	no	—
604	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
605	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
606	(C₂×D₇)⋊C₄	—	2	1	no	—
607	(C₂×D₇)⋊C₄	—	2	1	no	—
608	(C₂×D₇)⋊C₄	—	2	1	no	—
609	(C₂×D₇)⋊C₄	—	2	1	no	—
610	(C₂×D₇)⋊C₄	—	2	1	no	—
611	(C₂×D₇)⋊C₄	—	2	1	no	—
612	(C₂×D₇)⋊C₄	—	2	1	no	—
613	(C₂×D₇)⋊C₄	—	2	1	no	—
614	(C₂×D₇)⋊C₄	—	2	1	no	—
615	(C₂×D₇)⋊C₄	—	2	1	no	—
616	(C₂×D₇)⋊C₄	—	2	1	no	—
617	(C₂×D₇)⋊C₄	—	2	1	no	—
618	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
619	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
620	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
621	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₄⋊Dic₇	—	2	1	no	—
623	C₄⋊Dic₇	—	2	1	no	—
624	C₄⋊Dic₇	—	2	1	no	—
625	C₄⋊Dic₇	—	2	1	no	—
626	C₄⋊Dic₇	—	2	1	no	—
627	C₄⋊Dic₇	—	2	1	no	—
628	C₄⋊Dic₇	—	2	1	no	—
629	C₄⋊Dic₇	—	2	1	no	—
630	C₄⋊Dic₇	—	2	1	no	—
631	C₄⋊Dic₇	—	2	1	no	—
632	C₄⋊Dic₇	—	2	1	no	—
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
636	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
666	Dic₇⋊C₄	—	2	1	no	—
667	Dic₇⋊C₄	—	2	1	no	—
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	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	—	2	1	no	—
678	C₄×Dic₇	—	2	1	no	—
679	C₄×Dic₇	—	2	1	no	—
680	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
685	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
686	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
687	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
688	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
689	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
690	#1131	—	2	2	no	—
691	#1131	—	2	2	no	—
692	#1131	—	2	2	no	—
693	#1131	—	2	2	no	—
694	#544	—	7	1	no	—
695	#544	—	7	1	no	—
696	#544	—	7	1	no	—
697	#544	—	7	1	no	—
698	#544	—	7	1	no	—
699	#544	—	7	1	no	—
700	#544	—	7	1	no	—
701	#544	—	14	1	no	—
702	#544	—	14	1	no	—
703	#544	—	14	1	no	—
704	#544	—	14	1	no	—
705	#544	C₂×D₇	1	1	yes	characteristic
706	#542	—	7	1	no	—
707	#542	—	7	1	no	—
708	#542	—	7	1	no	—
709	#542	C₂×D₇	1	1	yes	characteristic
710	#541	—	7	1	no	—
711	#541	—	7	1	no	—
712	#540	—	7	1	no	—
713	#540	—	7	1	no	—
714	#539	—	14	1	no	—
715	#539	—	14	1	no	—
716	#538	—	14	1	no	—
717	#538	—	14	1	no	—
718	#533	—	7	1	no	—
719	#532	—	7	1	no	—
720	C₂×C₄⋊Q₈	—	7	1	no	—
721	C₂×C₄⋊Q₈	—	7	1	no	—
722	C₂×C₄⋊Q₈	—	14	1	no	—
723	#529	—	14	1	no	—
724	#529	—	14	1	no	—
725	#529	—	14	1	no	—
726	#529	—	14	1	no	—
727	C₂×#125	—	7	1	no	—
728	C₂×#125	—	7	1	no	—
729	C₂×#125	—	14	1	no	—
730	#525	—	7	1	no	—
731	#525	—	7	1	no	—
732	C₂×C₂²⋊Q₈	—	14	1	no	—
733	C₂×C₂²⋊Q₈	—	14	1	no	—
734	C₄×#41	—	7	1	no	—
735	C₄×#41	—	7	1	no	—
736	C₂×#117	—	7	1	no	—
737	C₂×#117	—	7	1	no	—
738	C₂²×C₄⋊C₄	—	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	#501	—	7	1	no	—
746	#501	C₂×D₇	1	1	yes	characteristic, complemented
747	#500	—	7	1	no	—
748	#500	—	7	1	no	—
749	#499	—	7	1	no	—
750	#499	—	7	1	no	—
751	#499	—	7	1	no	—
752	#499	—	7	1	no	—
753	#498	—	7	1	no	—
754	#498	C₂×D₇	1	1	yes	characteristic, complemented
755	#491	—	7	1	no	—
756	#491	—	7	1	no	—
757	#490	—	7	1	no	—
758	#490	—	7	1	no	—
759	#489	—	7	1	no	—
760	#489	—	7	1	no	—
761	#489	—	7	1	no	—
762	#489	C₂×D₇	1	1	yes	characteristic, complemented
763	#488	—	7	1	no	—
764	#488	—	7	1	no	—
765	#488	—	7	1	no	—
766	#488	C₂×D₇	1	1	yes	characteristic, complemented
767	#487	—	7	1	no	—
768	#487	—	7	1	no	—
769	#486	—	7	1	no	—
770	#486	—	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	C₂×D₇	1	1	yes	characteristic
779	#484	—	7	1	no	—
780	#484	—	7	1	no	—
781	#484	—	7	1	no	—
782	#484	—	7	1	no	—
783	#483	—	7	1	no	—
784	#483	—	7	1	no	—
785	#483	—	7	1	no	—
786	#483	C₂×D₇	1	1	yes	characteristic
787	#482	—	7	1	no	—
788	#482	—	7	1	no	—
789	#482	—	7	1	no	—
790	#482	—	7	1	no	—
791	#482	—	7	1	no	—
792	#482	—	7	1	no	—
793	#482	—	7	1	no	—
794	#482	C₂×D₇	1	1	yes	characteristic
795	#481	—	7	1	no	—
796	#481	—	7	1	no	—
797	#481	—	7	1	no	—
798	#481	C₂×D₇	1	1	yes	characteristic
799	#480	—	7	1	no	—
800	#480	—	7	1	no	—
801	#480	—	7	1	no	—
802	#480	—	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	C₂×D₇	1	1	yes	characteristic, complemented
811	#478	—	7	1	no	—
812	#478	—	7	1	no	—
813	#478	—	7	1	no	—
814	#478	—	7	1	no	—
815	#478	—	7	1	no	—
816	#478	—	7	1	no	—
817	#478	—	7	1	no	—
818	#478	C₂×D₇	1	1	yes	characteristic, complemented
819	#477	—	7	1	no	—
820	#477	—	7	1	no	—
821	#477	—	7	1	no	—
822	#477	—	7	1	no	—
823	#476	—	7	1	no	—
824	#476	—	7	1	no	—
825	#476	—	7	1	no	—
826	#476	C₂×D₇	1	1	yes	characteristic, complemented
827	#475	—	7	1	no	—
828	#475	—	7	1	no	—
829	#475	—	7	1	no	—
830	#475	C₂×D₇	1	1	yes	characteristic, complemented
831	#474	—	7	1	no	—
832	#474	—	7	1	no	—
833	#474	—	7	1	no	—
834	#474	—	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	—	7	1	no	—
840	#433	—	7	1	no	—
841	#433	—	7	1	no	—
842	#433	C₂×D₇	1	1	yes	characteristic
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	#428	—	7	1	no	—
849	#428	—	7	1	no	—
850	#428	—	7	1	no	—
851	#423	—	7	1	no	—
852	#423	—	7	1	no	—
853	#417	—	7	1	no	—
854	#417	—	7	1	no	—
855	#417	—	7	1	no	—
856	#417	—	7	1	no	—
857	#417	—	7	1	no	—
858	#417	—	7	1	no	—
859	#417	—	7	1	no	—
860	#417	—	7	1	no	—
861	#407	—	7	1	no	—
862	#407	—	7	1	no	—
863	C₄×M₁₆	—	7	1	no	—
864	C₄×M₁₆	—	7	1	no	—
865	C₂³×C₇	—	2	1	no	—
866	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
867	C₂²×D₇	—	2	2	no	—
868	C₂²×D₇	—	2	1	no	—
869	C₂²×D₇	—	4	1	no	—
870	C₂²×D₇	—	4	1	no	—
871	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
872	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	2	1	no	—
875	C₇×Q₈	—	8	1	no	—
876	C₇×Q₈	—	8	1	no	—
877	C₇×Q₈	—	8	1	no	—
878	C₇×D₄	—	2	1	no	—
879	C₇×D₄	—	2	1	no	—
880	C₇×D₄	—	8	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	—	2	1	no	—
889	C₂×C₄×C₇	—	2	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	C₂²⋊D₇	—	4	2	no	—
899	C₂²⋊D₇	—	8	1	no	—
900	C₂²⋊D₇	—	8	1	no	—
901	C₂²⋊D₇	—	8	1	no	—
902	C₂²⋊D₇	—	8	1	no	—
903	C₂×Dic₇	—	2	2	no	—
904	C₂×Dic₇	—	2	1	no	—
905	C₂×Dic₇	—	2	1	no	—
906	C₂×Dic₇	—	2	1	no	—
907	C₂×Dic₇	—	2	1	no	—
908	C₂×Dic₇	—	2	1	no	—
909	C₂×Dic₇	—	2	1	no	—
910	C₂×Dic₇	—	2	1	no	—
911	C₂×Dic₇	—	4	2	no	—
912	C₂×Dic₇	—	8	1	no	—
913	C₂×Dic₇	—	8	1	no	—
914	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
915	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
916	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
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	D₂₈	—	2	1	no	—
921	D₂₈	—	2	1	no	—
922	D₂₈	—	4	2	no	—
923	D₂₈	—	8	1	no	—
924	C₄×D₇	—	2	2	no	—
925	C₄×D₇	—	2	1	no	—
926	C₄×D₇	—	2	1	no	—
927	C₄×D₇	—	2	2	no	—
928	C₄×D₇	—	4	1	no	—
929	C₄×D₇	—	4	1	no	—
930	C₄×D₇	—	4	1	no	—
931	C₄×D₇	—	4	1	no	—
932	C₄×D₇	—	4	2	no	—
933	C₄×D₇	—	4	2	no	—
934	C₄×D₇	—	4	2	no	—
935	C₄×D₇	—	4	2	no	—
936	C₄×D₇	—	4	2	no	—
937	C₄×D₇	—	8	1	no	—
938	C₄×D₇	—	8	1	no	—
939	C₄×D₇	—	8	1	no	—
940	C₄×D₇	—	8	1	no	—
941	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
942	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
943	Dic₁₄	—	2	1	no	—
944	Dic₁₄	—	2	1	no	—
945	Dic₁₄	—	8	1	no	—
946	Dic₁₄	—	8	1	no	—
947	Dic₁₄	—	8	1	no	—
948	Dic₁₄	—	8	1	no	—
949	Dic₁₄	—	8	1	no	—
950	Dic₁₄	—	8	1	no	—
951	Dic₁₄	—	8	1	no	—
952	C₇×C₈	—	2	1	no	—
953	C₇×C₈	—	2	1	no	—
954	C₇×C₈	—	2	1	no	—
955	C₇×C₈	—	2	1	no	—
956	C₇⋊C₈	—	2	1	no	—
957	C₇⋊C₈	—	2	1	no	—
958	C₇⋊C₈	—	2	1	no	—
959	C₇⋊C₈	—	2	1	no	—
960	C₂×#41	—	7	1	no	—
961	C₂×#41	—	7	1	no	—
962	C₂²×Q₈	—	14	1	no	—
963	C₂²×Q₈	—	14	1	no	—
964	C₂³×C₄	—	7	1	no	—
965	C₂³×C₄	—	14	1	no	—
966	C₂×M₁₆	—	7	1	no	—
967	C₂×M₁₆	—	7	1	no	—
968	C₂×M₁₆	—	7	1	no	—
969	C₂×M₁₆	—	7	1	no	—
970	C₄⋊Q₈	—	2	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	—	7	1	no	—
977	C₄⋊Q₈	—	7	1	no	—
978	C₄⋊Q₈	—	7	1	no	—
979	C₄⋊Q₈	—	14	1	no	—
980	C₄⋊Q₈	—	14	1	no	—
981	C₄⋊Q₈	—	14	1	no	—
982	C₄⋊Q₈	—	14	1	no	—
983	C₄⋊Q₈	—	14	1	no	—
984	C₄⋊Q₈	—	14	1	no	—
985	C₄⋊Q₈	—	14	1	no	—
986	C₄⋊Q₈	—	14	1	no	—
987	C₄⋊Q₈	—	14	1	no	—
988	C₄⋊Q₈	—	14	1	no	—
989	C₄⋊Q₈	—	14	1	no	—
990	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
991	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
992	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
993	#127	—	7	1	no	—
994	#126	—	2	1	no	—
995	#126	—	14	1	no	—
996	#126	—	14	1	no	—
997	#126	—	14	1	no	—
998	#126	—	14	1	no	—
999	#126	—	14	1	no	—
1000	#126	—	14	1	no	—
1001	#126	—	14	1	no	—
1002	#125	—	2	1	no	—
1003	#125	—	7	1	no	—
1004	#125	—	7	1	no	—
1005	#125	—	7	1	no	—
1006	#125	—	7	1	no	—
1007	#125	—	7	1	no	—
1008	#125	—	7	1	no	—
1009	#125	—	7	1	no	—
1010	#125	—	7	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	C₂²×D₇	1	1	yes	characteristic
1027	#125	C₂²×D₇	1	1	yes	characteristic
1028	#124	—	2	1	no	—
1029	#124	—	7	1	no	—
1030	#124	—	14	1	no	—
1031	#124	—	14	1	no	—
1032	#124	—	14	1	no	—
1033	#124	C₂²×D₇	1	1	yes	characteristic
1034	#123	—	2	1	no	—
1035	#123	—	14	1	no	—
1036	#123	—	14	1	no	—
1037	#123	—	14	1	no	—
1038	#123	—	14	1	no	—
1039	#123	—	14	1	no	—
1040	#123	—	14	1	no	—
1041	#123	—	14	1	no	—
1042	#123	—	14	1	no	—
1043	#123	—	14	1	no	—
1044	C₂²⋊Q₈	—	2	1	no	—
1045	C₂²⋊Q₈	—	2	1	no	—
1046	C₂²⋊Q₈	—	2	1	no	—
1047	C₂²⋊Q₈	—	7	1	no	—
1048	C₂²⋊Q₈	—	7	1	no	—
1049	C₂²⋊Q₈	—	7	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	C₂²×D₇	1	1	yes	characteristic
1070	#121	—	7	1	no	—
1071	#121	—	7	1	no	—
1072	#121	—	7	1	no	—
1073	#121	—	14	1	no	—
1074	#121	—	14	1	no	—
1075	#121	—	14	1	no	—
1076	#121	—	14	1	no	—
1077	#121	—	14	1	no	—
1078	#121	—	14	1	no	—
1079	#121	C₂²×D₇	1	1	yes	characteristic
1080	#120	—	14	1	no	—
1081	#120	—	14	1	no	—
1082	C₄×Q₈	—	7	1	no	—
1083	C₄×Q₈	—	7	1	no	—
1084	C₄×Q₈	—	7	1	no	—
1085	C₄×Q₈	—	14	1	no	—
1086	C₄×Q₈	—	14	1	no	—
1087	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1088	C₄×D₄	—	7	1	no	—
1089	C₄×D₄	—	7	1	no	—
1090	C₄×D₄	—	7	1	no	—
1091	C₄×D₄	—	14	1	no	—
1092	C₄×D₄	—	14	1	no	—
1093	C₄×D₄	—	14	1	no	—
1094	C₄×D₄	—	14	1	no	—
1095	C₄×D₄	—	14	1	no	—
1096	C₄×D₄	—	14	1	no	—
1097	C₄×D₄	—	14	1	no	—
1098	C₄×D₄	—	14	1	no	—
1099	C₄×D₄	—	14	1	no	—
1100	C₄×D₄	—	14	1	no	—
1101	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1102	#117	—	7	1	no	—
1103	#117	—	7	1	no	—
1104	#117	—	7	1	no	—
1105	#117	—	7	1	no	—
1106	#117	—	7	1	no	—
1107	#117	—	7	1	no	—
1108	#117	—	7	1	no	—
1109	#117	—	7	1	no	—
1110	#117	—	7	1	no	—
1111	#117	—	7	1	no	—
1112	#117	—	7	1	no	—
1113	#117	—	7	1	no	—
1114	#117	—	14	1	no	—
1115	#117	—	14	1	no	—
1116	#117	—	14	1	no	—
1117	#117	—	14	1	no	—
1118	#117	C₂²×D₇	1	1	yes	characteristic
1119	#117	C₂²×D₇	1	1	yes	characteristic
1120	C₂×C₄⋊C₄	—	7	1	no	—
1121	C₂×C₄⋊C₄	—	7	1	no	—
1122	C₂×C₄⋊C₄	—	7	1	no	—
1123	C₂×C₄⋊C₄	—	7	1	no	—
1124	C₂×C₄⋊C₄	—	7	1	no	—
1125	C₂×C₄⋊C₄	—	7	1	no	—
1126	C₂×C₄⋊C₄	—	7	1	no	—
1127	C₂×C₄⋊C₄	—	7	1	no	—
1128	C₂×C₄⋊C₄	—	7	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×C₄⋊C₄	—	14	1	no	—
1135	C₂×C₄⋊C₄	—	14	1	no	—
1136	C₂×C₄⋊C₄	—	14	1	no	—
1137	C₂×C₄⋊C₄	—	14	1	no	—
1138	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	—	7	1	no	—
1140	C₂×C₂²⋊C₄	—	7	1	no	—
1141	C₂×C₂²⋊C₄	—	14	1	no	—
1142	C₂×C₄²	—	7	1	no	—
1143	C₂×C₄²	—	7	1	no	—
1144	C₂×C₄²	—	14	1	no	—
1145	C₂×C₄²	—	14	1	no	—
1146	C₂×C₄²	—	14	1	no	—
1147	#107	—	7	1	no	—
1148	#107	—	7	1	no	—
1149	#107	—	7	1	no	—
1150	#107	—	7	1	no	—
1151	#107	—	7	1	no	—
1152	#107	—	7	1	no	—
1153	#107	—	7	1	no	—
1154	#107	—	7	1	no	—
1155	#107	—	7	1	no	—
1156	#107	—	7	1	no	—
1157	#107	—	7	1	no	—
1158	#107	—	7	1	no	—
1159	#107	—	7	1	no	—
1160	#107	—	7	1	no	—
1161	#107	C₂²×D₇	1	1	yes	characteristic
1162	#107	C₂²×D₇	1	1	yes	characteristic
1163	#106	—	7	1	no	—
1164	#106	—	7	1	no	—
1165	#106	—	7	1	no	—
1166	#106	—	7	1	no	—
1167	#106	—	7	1	no	—
1168	#106	—	7	1	no	—
1169	#106	—	7	1	no	—
1170	#106	—	7	1	no	—
1171	#106	—	7	1	no	—
1172	#106	—	7	1	no	—
1173	#106	C₂²×D₇	1	1	yes	characteristic
1174	#106	C₂²×D₇	1	1	yes	characteristic
1175	#106	C₂²×D₇	1	1	yes	characteristic
1176	#106	C₂²×D₇	1	1	yes	characteristic
1177	#106	C₂²×D₇	1	1	yes	characteristic
1178	#106	C₂²×D₇	1	1	yes	characteristic
1179	C₄⋊C₈	—	7	1	no	—
1180	C₄⋊C₈	—	7	1	no	—
1181	C₄⋊C₈	—	7	1	no	—
1182	C₄⋊C₈	—	7	1	no	—
1183	C₄⋊C₈	—	7	1	no	—
1184	C₄⋊C₈	—	7	1	no	—
1185	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1186	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1197	#103	—	7	1	no	—
1198	#103	—	7	1	no	—
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	#103	C₂²×D₇	1	1	yes	characteristic
1203	#102	—	7	1	no	—
1204	#102	—	7	1	no	—
1205	#102	—	7	1	no	—
1206	#102	—	7	1	no	—
1207	#102	—	7	1	no	—
1208	#102	—	7	1	no	—
1209	#102	—	7	1	no	—
1210	#102	—	7	1	no	—
1211	#102	—	7	1	no	—
1212	#102	—	7	1	no	—
1213	#102	—	7	1	no	—
1214	#102	—	7	1	no	—
1215	#102	C₂²×D₇	1	1	yes	characteristic
1216	#102	C₂²×D₇	1	1	yes	characteristic
1217	#102	C₂²×D₇	1	1	yes	characteristic
1218	#102	C₂²×D₇	1	1	yes	characteristic
1219	C₂²⋊C₈	—	7	1	no	—
1220	C₂²⋊C₈	—	7	1	no	—
1221	C₂²⋊C₈	—	7	1	no	—
1222	C₂²⋊C₈	—	7	1	no	—
1223	C₂²⋊C₈	—	7	1	no	—
1224	C₂²⋊C₈	—	7	1	no	—
1225	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1226	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1227	#97	—	7	1	no	—
1228	#97	—	7	1	no	—
1229	#97	—	7	1	no	—
1230	#97	C₂²×D₇	1	1	yes	characteristic
1231	C₄×C₈	—	7	1	no	—
1232	C₄×C₈	—	7	1	no	—
1233	C₄×C₈	—	7	1	no	—
1234	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1235	C₂²×C₇	—	2	1	no	—
1236	C₂²×C₇	—	2	1	no	—
1237	C₂²×C₇	—	2	1	no	—
1238	C₂²×C₇	—	4	1	no	—
1239	C₂²×C₇	—	4	1	no	—
1240	C₂²×C₇	—	4	1	no	—
1241	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1242	C₂×D₇	—	2	1	no	—
1243	C₂×D₇	—	2	1	no	—
1244	C₂×D₇	—	2	1	no	—
1245	C₂×D₇	—	2	1	no	—
1246	C₂×D₇	—	2	1	no	—
1247	C₂×D₇	—	4	4	no	—
1248	C₂×D₇	—	4	1	no	—
1249	C₂×D₇	—	4	1	no	—
1250	C₂×D₇	—	4	1	no	—
1251	C₂×D₇	#536	1	2	yes	—
1252	C₄×C₇	—	2	1	no	—
1253	C₄×C₇	—	2	1	no	—
1254	C₄×C₇	—	2	1	no	—
1255	C₄×C₇	—	2	1	no	—
1256	C₄×C₇	—	2	1	no	—
1257	C₄×C₇	—	4	1	no	—
1258	C₄×C₇	—	4	1	no	—
1259	C₄×C₇	—	4	1	no	—
1260	C₄×C₇	—	4	1	no	—
1261	C₄×C₇	—	4	1	no	—
1262	C₄×C₇	—	4	1	no	—
1263	C₄×C₇	—	4	1	no	—
1264	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1265	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1266	Dic₇	—	2	1	no	—
1267	Dic₇	—	2	1	no	—
1268	Dic₇	—	2	1	no	—
1269	Dic₇	—	2	1	no	—
1270	Dic₇	—	2	1	no	—
1271	Dic₇	—	4	1	no	—
1272	Dic₇	—	4	1	no	—
1273	Dic₇	—	4	1	no	—
1274	Dic₇	—	4	1	no	—
1275	Dic₇	—	4	1	no	—
1276	Dic₇	—	4	1	no	—
1277	Dic₇	—	4	1	no	—
1278	Dic₇	#536	1	2	yes	—
1279	C₂⁴	—	7	1	no	—
1280	#41	—	14	2	no	—
1281	#41	—	14	2	no	—
1282	#41	—	14	2	no	—
1283	#41	—	14	2	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	2	1	no	—
1286	C₂×Q₈	—	2	1	no	—
1287	C₂×Q₈	—	7	1	no	—
1288	C₂×Q₈	—	14	1	no	—
1289	C₂×Q₈	—	14	1	no	—
1290	C₂×Q₈	—	14	1	no	—
1291	C₂×Q₈	—	14	1	no	—
1292	C₂×Q₈	—	14	1	no	—
1293	C₂×Q₈	—	14	1	no	—
1294	C₂×Q₈	—	14	1	no	—
1295	C₂×Q₈	—	56	2	no	—
1296	C₂×Q₈	—	56	2	no	—
1297	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1298	C₂×D₄	—	2	1	no	—
1299	C₂×D₄	—	7	1	no	—
1300	C₂×D₄	—	14	1	no	—
1301	C₂×D₄	—	14	1	no	—
1302	C₂×D₄	—	14	1	no	—
1303	C₂×D₄	—	14	1	no	—
1304	C₂×D₄	—	14	1	no	—
1305	C₂×D₄	—	14	1	no	—
1306	C₂×D₄	—	14	1	no	—
1307	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	7	1	no	—
1311	C₂²×C₄	—	7	1	no	—
1312	C₂²×C₄	—	7	1	no	—
1313	C₂²×C₄	—	7	1	no	—
1314	C₂²×C₄	—	7	1	no	—
1315	C₂²×C₄	—	7	1	no	—
1316	C₂²×C₄	—	7	1	no	—
1317	C₂²×C₄	—	7	1	no	—
1318	C₂²×C₄	—	7	1	no	—
1319	C₂²×C₄	—	14	2	no	—
1320	C₂²×C₄	—	14	2	no	—
1321	C₂²×C₄	—	14	1	no	—
1322	C₂²×C₄	—	14	1	no	—
1323	C₂²×C₄	—	14	1	no	—
1324	C₂²×C₄	—	14	1	no	—
1325	C₂²×C₄	—	14	1	no	—
1326	C₂²×C₄	—	14	1	no	—
1327	C₂²×C₄	—	14	1	no	—
1328	C₂²×C₄	—	14	1	no	—
1329	C₂²×C₄	—	14	1	no	—
1330	C₂²×C₄	—	14	1	no	—
1331	C₂²×C₄	—	14	1	no	—
1332	C₂²×C₄	—	14	1	no	—
1333	C₂²×C₄	—	56	2	no	—
1334	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1335	M₁₆	—	14	2	no	—
1336	M₁₆	—	14	2	no	—
1337	M₁₆	—	14	2	no	—
1338	M₁₆	—	14	2	no	—
1339	C₂×C₈	—	7	1	no	—
1340	C₂×C₈	—	7	1	no	—
1341	C₂×C₈	—	7	1	no	—
1342	C₂×C₈	—	7	1	no	—
1343	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1345	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1346	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	7	1	no	—
1358	C₄⋊C₄	—	7	1	no	—
1359	C₄⋊C₄	—	7	1	no	—
1360	C₄⋊C₄	—	7	1	no	—
1361	C₄⋊C₄	—	7	1	no	—
1362	C₄⋊C₄	—	7	1	no	—
1363	C₄⋊C₄	—	7	1	no	—
1364	C₄⋊C₄	—	7	1	no	—
1365	C₄⋊C₄	—	7	1	no	—
1366	C₄⋊C₄	—	7	1	no	—
1367	C₄⋊C₄	—	7	1	no	—
1368	C₄⋊C₄	—	7	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	—	14	1	no	—
1399	C₄⋊C₄	—	14	1	no	—
1400	C₄⋊C₄	—	14	1	no	—
1401	C₄⋊C₄	—	14	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	—	14	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1408	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1409	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1410	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1411	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1412	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1413	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1414	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	7	1	no	—
1422	C₂²⋊C₄	—	7	1	no	—
1423	C₂²⋊C₄	—	7	1	no	—
1424	C₂²⋊C₄	—	7	1	no	—
1425	C₂²⋊C₄	—	7	1	no	—
1426	C₂²⋊C₄	—	7	1	no	—
1427	C₂²⋊C₄	—	14	1	no	—
1428	C₂²⋊C₄	—	14	1	no	—
1429	C₂²⋊C₄	—	14	1	no	—
1430	C₂²⋊C₄	—	14	1	no	—
1431	C₂²⋊C₄	—	14	1	no	—
1432	C₂²⋊C₄	—	14	1	no	—
1433	C₂²⋊C₄	—	14	1	no	—
1434	C₂²⋊C₄	—	14	1	no	—
1435	C₂²⋊C₄	—	14	1	no	—
1436	C₂²⋊C₄	—	14	1	no	—
1437	C₂²⋊C₄	—	14	1	no	—
1438	C₂²⋊C₄	—	14	1	no	—
1439	C₂²⋊C₄	—	14	1	no	—
1440	C₂²⋊C₄	—	14	1	no	—
1441	C₂²⋊C₄	—	14	1	no	—
1442	C₂²⋊C₄	—	14	1	no	—
1443	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1444	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1445	C₄²	—	2	1	no	—
1446	C₄²	—	2	1	no	—
1447	C₄²	—	7	1	no	—
1448	C₄²	—	7	1	no	—
1449	C₄²	—	7	1	no	—
1450	C₄²	—	7	1	no	—
1451	C₄²	—	7	1	no	—
1452	C₄²	—	7	1	no	—
1453	C₄²	—	14	1	no	—
1454	C₄²	—	14	1	no	—
1455	C₄²	—	14	1	no	—
1456	C₄²	—	14	1	no	—
1457	C₄²	—	14	1	no	—
1458	C₄²	—	14	1	no	—
1459	C₄²	—	14	1	no	—
1460	C₄²	—	14	1	no	—
1461	C₄²	C₂³×D₇	1	1	yes	characteristic
1462	C₄²	C₂³×D₇	1	1	yes	characteristic
1463	C₂×C₇	—	4	1	no	—
1464	C₂×C₇	—	8	1	no	—
1465	C₂×C₇	C₂×#536	1	1	yes	characteristic
1466	C₂×C₇	#3585	1	1	yes	characteristic
1467	C₂×C₇	#3586	1	1	yes	characteristic
1468	D₇	—	2	2	no	—
1469	D₇	—	4	1	no	—
1470	D₇	—	8	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	7	1	no	—
1473	C₂³	—	7	1	no	—
1474	C₂³	—	14	2	no	—
1475	C₂³	—	14	1	no	—
1476	C₂³	—	28	1	no	—
1477	C₂³	—	28	1	no	—
1478	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1479	Q₈	—	2	1	no	—
1480	Q₈	—	2	1	no	—
1481	Q₈	—	8	1	no	—
1482	Q₈	—	8	1	no	—
1483	Q₈	—	8	1	no	—
1484	Q₈	—	14	1	no	—
1485	Q₈	—	14	1	no	—
1486	Q₈	—	56	1	no	—
1487	Q₈	—	56	1	no	—
1488	Q₈	—	56	1	no	—
1489	Q₈	—	56	1	no	—
1490	Q₈	—	56	1	no	—
1491	Q₈	—	56	1	no	—
1492	Q₈	—	56	1	no	—
1493	D₄	—	2	1	no	—
1494	D₄	—	2	1	no	—
1495	D₄	—	8	1	no	—
1496	D₄	—	14	1	no	—
1497	D₄	—	14	1	no	—
1498	D₄	—	28	2	no	—
1499	D₄	—	28	2	no	—
1500	D₄	—	56	1	no	—
1501	D₄	—	56	1	no	—
1502	D₄	—	56	1	no	—
1503	D₄	—	56	1	no	—
1504	D₄	—	56	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	7	1	no	—
1515	C₂×C₄	—	7	2	no	—
1516	C₂×C₄	—	7	2	no	—
1517	C₂×C₄	—	7	1	no	—
1518	C₂×C₄	—	7	1	no	—
1519	C₂×C₄	—	7	1	no	—
1520	C₂×C₄	—	7	1	no	—
1521	C₂×C₄	—	7	1	no	—
1522	C₂×C₄	—	8	1	no	—
1523	C₂×C₄	—	8	1	no	—
1524	C₂×C₄	—	14	2	no	—
1525	C₂×C₄	—	14	2	no	—
1526	C₂×C₄	—	14	2	no	—
1527	C₂×C₄	—	14	1	no	—
1528	C₂×C₄	—	14	1	no	—
1529	C₂×C₄	—	14	1	no	—
1530	C₂×C₄	—	14	1	no	—
1531	C₂×C₄	—	14	1	no	—
1532	C₂×C₄	—	14	1	no	—
1533	C₂×C₄	—	14	1	no	—
1534	C₂×C₄	—	14	1	no	—
1535	C₂×C₄	—	14	1	no	—
1536	C₂×C₄	—	28	1	no	—
1537	C₂×C₄	—	28	1	no	—
1538	C₂×C₄	—	28	1	no	—
1539	C₂×C₄	—	28	1	no	—
1540	C₂×C₄	—	28	2	no	—
1541	C₂×C₄	—	28	2	no	—
1542	C₂×C₄	—	28	2	no	—
1543	C₂×C₄	—	28	2	no	—
1544	C₂×C₄	—	28	2	no	—
1545	C₂×C₄	—	28	2	no	—
1546	C₂×C₄	—	56	1	no	—
1547	C₂×C₄	—	56	1	no	—
1548	C₂×C₄	—	56	1	no	—
1549	C₂×C₄	—	56	1	no	—
1550	C₂×C₄	—	56	1	no	—
1551	C₂×C₄	—	56	1	no	—
1552	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1553	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1554	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1555	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1556	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1557	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	14	1	no	—
1563	C₈	—	14	1	no	—
1564	C₈	—	14	1	no	—
1565	C₈	—	14	1	no	—
1566	C₇	#60867	1	1	yes	characteristic, complemented, Sylow
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	7	2	no	—
1574	C₂²	—	14	1	no	—
1575	C₂²	—	14	1	no	—
1576	C₂²	—	14	1	no	—
1577	C₂²	—	14	1	no	—
1578	C₂²	—	14	1	no	—
1579	C₂²	—	28	4	no	—
1580	C₂²	—	28	1	no	—
1581	C₂²	—	28	1	no	—
1582	C₂²	—	28	1	no	—
1583	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	7	2	no	—
1597	C₄	—	14	1	no	—
1598	C₄	—	14	1	no	—
1599	C₄	—	14	1	no	—
1600	C₄	—	14	1	no	—
1601	C₄	—	14	1	no	—
1602	C₄	—	28	1	no	—
1603	C₄	—	28	1	no	—
1604	C₄	—	28	1	no	—
1605	C₄	—	28	1	no	—
1606	C₄	—	28	1	no	—
1607	C₄	—	28	1	no	—
1608	C₄	—	28	1	no	—
1609	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1610	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1611	C₂	—	4	1	no	—
1612	C₂	—	8	1	no	—
1613	C₂	—	14	2	no	—
1614	C₂	—	28	1	no	—
1615	C₂	—	56	1	no	—
1616	C₂	D₇×#536	1	1	yes	characteristic
1617	C₂	#11744275	1	1	yes	characteristic
1618	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×#3244	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743591	C₂
hypercenter	#3244	D₇
hypocenter	C₇	#60867
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3244

Complements

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

N	H ≅ G/N	type
1. D₇×#544	C₂	semidirect
3. C₇×#3244	C₂	semidirect
4. #11740923	C₂	semidirect
5. #11740900	C₂	semidirect
6. #11739434	C₂	semidirect
7. #11739422	C₂	semidirect
8. #11739343	C₂	semidirect
9. #11739338	C₂	semidirect
10. #11739139	C₂	semidirect
11. #11739128	C₂	semidirect
12. #11739095	C₂	semidirect
13. #11739086	C₂	semidirect
14. #11738961	C₂	semidirect
15. #11738949	C₂	semidirect
16. #11738872	C₂	semidirect
17. #11738867	C₂	semidirect
18. #11738817	C₂	semidirect
19. #11738806	C₂	semidirect
20. #11738770	C₂	semidirect
21. #11738761	C₂	semidirect
22. #11738686	C₂	semidirect
23. #11738676	C₂	semidirect
24. #11738621	C₂	semidirect
25. #11738612	C₂	semidirect
26. #11738513	C₂	semidirect
27. #11738506	C₂	semidirect
28. #11738464	C₂	semidirect
29. #11738457	C₂	semidirect
30. #11736816	C₂	semidirect
31. #11736809	C₂	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#498	C₂²	semidirect
79. C₇×#489	C₂²	semidirect
80. C₇×#488	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#476	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
90. #89863	C₂²	semidirect
91. #89861	C₂²	semidirect
92. #89859	C₂²	semidirect
93. #89852	C₂²	semidirect
94. #89851	C₂²	semidirect
95. #89850	C₂²	semidirect
96. #89840	C₂²	semidirect
97. #89838	C₂²	semidirect
98. #89837	C₂²	semidirect
99. #89835	C₂²	semidirect
100. #89828	C₂²	semidirect
101. #89827	C₂²	semidirect
106. #89794	C₂²	semidirect
107. #89792	C₂²	semidirect
108. #89781	C₂²	semidirect
109. #89780	C₂²	semidirect
115. #89663	C₂²	semidirect
120. #89650	C₂²	semidirect
121. #89650	C₂²	semidirect
122. #89649	C₂²	semidirect
123. #89643	C₂²	semidirect
124. #89642	C₂²	semidirect
125. #89642	C₂²	semidirect
138. #89630	C₂²	semidirect
139. #89630	C₂²	semidirect
140. #89629	C₂²	semidirect
141. #89628	C₂²	semidirect
142. #89628	C₂²	semidirect
143. #89628	C₂²	semidirect
144. #89628	C₂²	semidirect
145. #89626	C₂²	semidirect
146. #89626	C₂²	semidirect
147. #89622	C₂²	semidirect
148. #89619	C₂²	semidirect
149. #89618	C₂²	semidirect
154. #89601	C₂²	semidirect
163. #89571	C₂²	semidirect
164. #89569	C₂²	semidirect
165. #89569	C₂²	semidirect
166. #89568	C₂²	semidirect
167. #89566	C₂²	semidirect
168. #89566	C₂²	semidirect
169. #89564	C₂²	semidirect
170. #89564	C₂²	semidirect
179. #89538	C₂²	semidirect
180. #89536	C₂²	semidirect
181. #89536	C₂²	semidirect
182. #89535	C₂²	semidirect
183. #89532	C₂²	semidirect
184. #89532	C₂²	semidirect
185. #89531	C₂²	semidirect
186. #89531	C₂²	semidirect
195. #89486	C₂²	semidirect
198. #89474	C₂²	semidirect
199. #89469	C₂²	semidirect
202. #89454	C₂²	semidirect
484. #3244	D₇	semidirect
746. #501	C₂×D₇	semidirect
754. #498	C₂×D₇	semidirect
762. #489	C₂×D₇	semidirect
766. #488	C₂×D₇	semidirect
810. #479	C₂×D₇	semidirect
818. #478	C₂×D₇	semidirect
826. #476	C₂×D₇	semidirect
830. #475	C₂×D₇	semidirect
1566. C₇	#60867	semidirect

Maximal subgroups

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

subgroup	index
D₇×#544	2
#11743591	2
C₇×#3244	2
#11740923	2
#11740900	2
#11739434	2
#11739422	2
#11739343	2
#11739338	2
#11739139	2
#11739128	2
#11739095	2
#11739086	2
#11738961	2
#11738949	2
#11738872	2
#11738867	2
#11738817	2
#11738806	2
#11738770	2
#11738761	2
#11738686	2
#11738676	2
#11738621	2
#11738612	2
#11738513	2
#11738506	2
#11738464	2
#11738457	2
#11736816	2
#11736809	2
#60867	7