Subgroups — #14244448

Order 1792.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743350	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743336	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#2985	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737432	C₂	1	1	yes	maximal, characteristic, complemented
5	#11737431	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737430	C₂	1	1	yes	maximal, characteristic, complemented
7	#11737430	C₂	1	1	yes	maximal, characteristic, complemented
8	#11737428	C₂	1	1	yes	maximal, characteristic, complemented
9	#11737424	C₂	1	1	yes	maximal, characteristic, complemented
10	#11737423	C₂	1	1	yes	maximal, characteristic, complemented
11	#11737423	C₂	1	1	yes	maximal, characteristic, complemented
12	#11737421	C₂	1	1	yes	maximal, characteristic, complemented
13	#11737419	C₂	1	1	yes	maximal, characteristic, complemented
14	#11737419	C₂	1	1	yes	maximal, characteristic, complemented
15	#11737417	C₂	1	1	yes	maximal, characteristic, complemented
16	#11737382	C₂	1	1	yes	maximal, characteristic, complemented
17	#11737379	C₂	1	1	yes	maximal, characteristic, complemented
18	#11737376	C₂	1	1	yes	maximal, characteristic, complemented
19	#11737371	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736834	C₂	1	1	yes	maximal, characteristic
21	#11736833	C₂	1	1	yes	maximal, characteristic
22	#11736830	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736830	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736810	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736809	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736808	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736808	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736790	C₂	1	1	yes	maximal, characteristic
29	#11736765	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736747	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736719	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#533	C₂²	1	1	yes	characteristic
33	#90422	—	2	1	no	—
34	#90420	—	2	1	no	—
35	#90420	—	2	1	no	—
36	#90420	—	2	1	no	—
37	#90387	—	2	1	no	—
38	#90387	—	2	1	no	—
39	#90379	—	2	1	no	—
40	D₇×#125	—	2	1	no	—
41	#90337	—	2	1	no	—
42	#90337	—	2	1	no	—
43	#90332	—	2	1	no	—
44	#90330	—	2	1	no	—
45	#90327	—	2	1	no	—
46	#90327	—	2	1	no	—
47	#90327	—	2	1	no	—
48	#90327	—	2	1	no	—
49	#90275	C₂²	1	1	yes	characteristic
50	#90275	C₂²	1	1	yes	characteristic
51	#90275	C₂²	1	1	yes	characteristic
52	#90270	C₂²	1	1	yes	characteristic
53	#90270	C₂²	1	1	yes	characteristic
54	#90270	C₂²	1	1	yes	characteristic
55	#90270	C₂²	1	1	yes	characteristic
56	#90270	C₂²	1	1	yes	characteristic
57	#90261	C₂²	1	1	yes	characteristic
58	#90258	C₂²	1	1	yes	characteristic
59	#90258	C₂²	1	1	yes	characteristic
60	#90258	C₂²	1	1	yes	characteristic
61	#90258	C₂²	1	1	yes	characteristic
62	#90258	C₂²	1	1	yes	characteristic
63	#90258	C₂²	1	1	yes	characteristic
64	Q₈×Dic₁₄	C₂²	1	1	yes	characteristic
65	#90225	C₂²	1	1	yes	characteristic
66	#90225	C₂²	1	1	yes	characteristic
67	#90214	C₂²	1	1	yes	characteristic
68	#90214	C₂²	1	1	yes	characteristic
69	#90210	C₂²	1	1	yes	characteristic
70	#90210	C₂²	1	1	yes	characteristic
71	#90209	C₂²	1	1	yes	characteristic
72	#90209	C₂²	1	1	yes	characteristic
73	#90170	C₂²	1	1	yes	characteristic
74	C₄×#1157	C₂²	1	1	yes	characteristic
75	#90161	C₂²	1	1	yes	characteristic
76	C₂×#6433	C₂²	1	1	yes	characteristic
77	C₇×#446	C₂²	1	1	yes	characteristic
78	C₇×#446	C₂²	1	1	yes	characteristic
79	C₇×#446	C₂²	1	1	yes	characteristic
80	C₇×#446	C₂²	1	1	yes	characteristic
81	C₇×#446	C₂²	1	1	yes	characteristic
82	C₇×#446	C₂²	1	1	yes	characteristic
83	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
84	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic
85	C₇×#433	C₂²	1	1	yes	characteristic
86	C₇×#433	C₂²	1	1	yes	characteristic
87	C₇×#433	C₂²	1	1	yes	characteristic
88	C₇×#433	C₂²	1	1	yes	characteristic
89	C₇×#432	C₂²	1	1	yes	characteristic
90	C₇×#431	C₂²	1	1	yes	characteristic
91	#89623	C₂²	1	1	yes	characteristic
92	#89623	C₂²	1	1	yes	characteristic
93	#89623	C₂²	1	1	yes	characteristic
94	#89623	C₂²	1	1	yes	characteristic
95	#89623	C₂²	1	1	yes	characteristic
96	#89622	C₂²	1	1	yes	characteristic
97	#89622	C₂²	1	1	yes	characteristic
98	#89622	C₂²	1	1	yes	characteristic
99	#89622	C₂²	1	1	yes	characteristic
100	#89621	C₂²	1	1	yes	characteristic
101	#89621	C₂²	1	1	yes	characteristic
102	#89621	C₂²	1	1	yes	characteristic
103	#89619	C₂²	1	1	yes	characteristic
104	#89619	C₂²	1	1	yes	characteristic
105	#89619	C₂²	1	1	yes	characteristic
106	#89619	C₂²	1	1	yes	characteristic
107	#89619	C₂²	1	1	yes	characteristic
108	#89619	C₂²	1	1	yes	characteristic
109	#89619	C₂²	1	1	yes	characteristic
110	#89618	C₂²	1	1	yes	characteristic
111	#89618	C₂²	1	1	yes	characteristic
112	#89618	C₂²	1	1	yes	characteristic
113	#89617	C₂²	1	1	yes	characteristic
114	#89617	C₂²	1	1	yes	characteristic
115	#89617	C₂²	1	1	yes	characteristic
116	#89616	C₂²	1	1	yes	characteristic
117	#89616	C₂²	1	1	yes	characteristic
118	#89616	C₂²	1	1	yes	characteristic
119	#89614	C₂²	1	1	yes	characteristic
120	#89614	C₂²	1	1	yes	characteristic
121	#89613	C₂²	1	1	yes	characteristic
122	#89613	C₂²	1	1	yes	characteristic
123	#89613	C₂²	1	1	yes	characteristic
124	#89601	C₂²	1	1	yes	characteristic
125	#89601	C₂²	1	1	yes	characteristic
126	#89601	C₂²	1	1	yes	characteristic
127	#89601	C₂²	1	1	yes	characteristic
128	#89601	C₂²	1	1	yes	characteristic
129	#89601	C₂²	1	1	yes	characteristic
130	#89601	C₂²	1	1	yes	characteristic
131	#89601	C₂²	1	1	yes	characteristic
132	#89601	C₂²	1	1	yes	characteristic
133	#89601	C₂²	1	1	yes	characteristic
134	#89601	C₂²	1	1	yes	characteristic
135	#89601	C₂²	1	1	yes	characteristic
136	#89601	C₂²	1	1	yes	characteristic
137	#89601	C₂²	1	1	yes	characteristic
138	#89601	C₂²	1	1	yes	characteristic
139	#89509	C₂²	1	1	yes	characteristic
140	#89508	C₂²	1	1	yes	characteristic
141	#89507	C₂²	1	1	yes	characteristic
142	#89506	C₂²	1	1	yes	characteristic
143	#89505	C₂²	1	1	yes	characteristic
144	#89505	C₂²	1	1	yes	characteristic
145	#89505	C₂²	1	1	yes	characteristic
146	#89495	C₂²	1	1	yes	characteristic
147	#89495	C₂²	1	1	yes	characteristic
148	#89495	C₂²	1	1	yes	characteristic
149	#89494	C₂²	1	1	yes	characteristic
150	#89494	C₂²	1	1	yes	characteristic
151	#89494	C₂²	1	1	yes	characteristic
152	#89493	C₂²	1	1	yes	characteristic
153	#89493	C₂²	1	1	yes	characteristic
154	#89493	C₂²	1	1	yes	characteristic
155	#89488	C₂²	1	1	yes	characteristic
156	#89488	C₂²	1	1	yes	characteristic
157	#89488	C₂²	1	1	yes	characteristic
158	#89488	C₂²	1	1	yes	characteristic
159	#89486	C₂²	1	1	yes	characteristic
160	#89486	C₂²	1	1	yes	characteristic
161	#89483	C₂²	1	1	yes	characteristic
162	#89483	C₂²	1	1	yes	characteristic
163	#89482	C₂²	1	1	yes	characteristic
164	#89482	C₂²	1	1	yes	characteristic
165	#89482	C₂²	1	1	yes	characteristic
166	#89482	C₂²	1	1	yes	characteristic
167	#89482	C₂²	1	1	yes	characteristic
168	#89482	C₂²	1	1	yes	characteristic
169	#89475	C₂²	1	1	yes	characteristic
170	#89475	C₂²	1	1	yes	characteristic
171	#89475	C₂²	1	1	yes	characteristic
172	#89475	C₂²	1	1	yes	characteristic
173	#89474	C₂²	1	1	yes	characteristic
174	#89474	C₂²	1	1	yes	characteristic
175	#89474	C₂²	1	1	yes	characteristic
176	#89474	C₂²	1	1	yes	characteristic
177	#89474	C₂²	1	1	yes	characteristic
178	#89474	C₂²	1	1	yes	characteristic
179	C₄×Dic₂₈	C₂²	1	1	yes	characteristic
180	C₄×Dic₂₈	C₂²	1	1	yes	characteristic
181	C₄×Dic₂₈	C₂²	1	1	yes	characteristic
182	C₄×Dic₂₈	C₂²	1	1	yes	characteristic
183	C₄×Dic₂₈	C₂²	1	1	yes	characteristic
184	#89469	C₂²	1	1	yes	characteristic
185	#89469	C₂²	1	1	yes	characteristic
186	#89469	C₂²	1	1	yes	characteristic
187	#89469	C₂²	1	1	yes	characteristic
188	C₄×D₅₆	C₂²	1	1	yes	characteristic
189	C₄×#1132	C₂²	1	1	yes	characteristic
190	C₄×#1132	C₂²	1	1	yes	characteristic
191	C₄×#1132	C₂²	1	1	yes	characteristic
192	C₄×#1132	C₂²	1	1	yes	characteristic
193	C₄×#1132	C₂²	1	1	yes	characteristic
194	C₄×#1132	C₂²	1	1	yes	characteristic
195	#89455	C₂²	1	1	yes	characteristic
196	#89455	C₂²	1	1	yes	characteristic
197	#89455	C₂²	1	1	yes	characteristic
198	#89455	C₂²	1	1	yes	characteristic
199	#89454	C₂²	1	1	yes	characteristic
200	#89453	C₂²	1	1	yes	characteristic
201	#89453	C₂²	1	1	yes	characteristic
202	#89452	C₂²	1	1	yes	characteristic
203	#61862	—	7	1	no	maximal, Sylow
204	C₂×#1157	C₂³	1	1	yes	characteristic
205	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
206	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
207	C₇×#125	D₄	1	1	yes	characteristic
208	C₇×#125	D₄	1	1	yes	characteristic
209	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
211	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
212	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
213	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
214	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
215	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
216	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
217	C₇×#117	C₂³	1	1	yes	characteristic
218	C₇×#117	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
220	#6509	—	2	1	no	—
221	#6509	—	2	1	no	—
222	#6509	—	2	1	no	—
223	#6509	—	2	1	no	—
224	#6509	—	2	1	no	—
225	#6509	—	2	1	no	—
226	#6509	—	2	1	no	—
227	#6509	—	2	1	no	—
228	Q₈×Dic₇	—	2	1	no	—
229	Q₈×Dic₇	—	2	1	no	—
230	#6507	—	2	1	no	—
231	#6507	—	2	1	no	—
232	#6507	—	2	1	no	—
233	#6507	—	2	1	no	—
234	#6507	—	2	1	no	—
235	#6507	—	2	1	no	—
236	#6493	C₂³	1	1	yes	characteristic
237	#6492	—	2	1	no	—
238	C₄×C₂²⋊D₇	—	2	1	no	—
239	C₄×C₂²⋊D₇	—	2	1	no	—
240	C₄×C₂²⋊D₇	—	2	1	no	—
241	#6489	—	2	1	no	—
242	#6489	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
245	#6487	—	2	1	no	—
246	#6487	C₂³	1	1	yes	characteristic
247	#6487	C₂³	1	1	yes	characteristic
248	#6487	C₂³	1	1	yes	characteristic
249	C₂×Dic₇⋊C₄	—	2	1	no	—
250	C₂×Dic₇⋊C₄	—	2	1	no	—
251	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
252	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
253	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
254	C₂×D₅₆	C₂³	1	1	yes	characteristic
255	C₂×#1132	C₂³	1	1	yes	characteristic
256	C₂×#1132	C₂³	1	1	yes	characteristic
257	C₂×#1132	C₂³	1	1	yes	characteristic
258	C₂×#1132	C₂³	1	1	yes	characteristic
259	#6461	—	2	1	no	—
260	#6461	—	2	1	no	—
261	#6461	—	2	1	no	—
262	#6461	—	2	1	no	—
263	#6461	—	2	1	no	—
264	#6461	—	2	1	no	—
265	#6461	—	2	1	no	—
266	#6461	—	2	1	no	—
267	#6459	—	2	1	no	—
268	#6459	—	2	1	no	—
269	#6459	—	2	1	no	—
270	#6459	—	2	1	no	—
271	#6459	—	2	1	no	—
272	#6459	—	2	1	no	—
273	#6459	—	2	1	no	—
274	#6459	—	2	1	no	—
275	#6459	—	2	1	no	—
276	#6459	—	2	1	no	—
277	#6459	—	2	1	no	—
278	#6459	—	2	1	no	—
279	#6455	—	2	1	no	—
280	#6455	—	2	1	no	—
281	#6455	—	2	1	no	—
282	#6455	—	2	1	no	—
283	#6455	—	2	1	no	—
284	D₇×C₄⋊C₄	—	2	1	no	—
285	D₇×C₄⋊C₄	—	2	1	no	—
286	D₇×C₄⋊C₄	—	2	1	no	—
287	D₇×C₄⋊C₄	—	2	1	no	—
288	D₇×C₄⋊C₄	—	2	1	no	—
289	D₇×C₄⋊C₄	—	2	1	no	—
290	D₇×C₄⋊C₄	—	2	1	no	—
291	#6453	—	2	1	no	—
292	#6453	—	2	1	no	—
293	#6453	—	2	1	no	—
294	#6453	—	2	1	no	—
295	#6453	—	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	#6450	—	2	1	no	—
318	#6450	—	2	1	no	—
319	#6450	—	2	1	no	—
320	#6450	—	2	1	no	—
321	#6450	—	2	1	no	—
322	#6450	—	2	1	no	—
323	#6448	—	2	1	no	—
324	#6448	—	2	1	no	—
325	#6446	—	2	1	no	—
326	#6446	—	2	1	no	—
327	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
328	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
329	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
330	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
331	#6442	—	2	1	no	—
332	#6442	—	2	1	no	—
333	#6442	—	2	1	no	—
334	#6442	—	2	1	no	—
335	#6441	—	2	1	no	—
336	#6441	—	2	1	no	—
337	#6441	—	2	1	no	—
338	#6441	—	2	1	no	—
339	#6439	—	2	1	no	—
340	#6438	C₂³	1	1	yes	characteristic
341	#6438	C₂³	1	1	yes	characteristic
342	#6438	C₂³	1	1	yes	characteristic
343	C₄×D₂₈	C₂³	1	1	yes	characteristic
344	C₄×D₂₈	C₂³	1	1	yes	characteristic
345	C₄×D₂₈	C₂³	1	1	yes	characteristic
346	C₄×D₂₈	C₂³	1	1	yes	characteristic
347	C₄×D₂₈	C₂³	1	1	yes	characteristic
348	C₄×D₂₈	C₂³	1	1	yes	characteristic
349	C₄×D₂₈	C₂³	1	1	yes	characteristic
350	C₄×D₂₈	C₂³	1	1	yes	characteristic
351	C₄×D₂₈	C₂³	1	1	yes	characteristic
352	#6435	—	2	1	no	—
353	#6435	—	2	1	no	—
354	C₄²×D₇	—	2	1	no	—
355	#6433	—	2	1	no	—
356	#6433	—	2	1	no	—
357	#6433	—	2	1	no	—
358	#6433	C₂³	1	1	yes	characteristic
359	#6433	C₂³	1	1	yes	characteristic
360	#6433	C₂³	1	1	yes	characteristic
361	#6433	C₂³	1	1	yes	characteristic
362	#6433	C₂³	1	1	yes	characteristic
363	#6433	C₂³	1	1	yes	characteristic
364	#6433	C₂³	1	1	yes	characteristic
365	#6433	C₂³	1	1	yes	characteristic
366	#6433	C₂³	1	1	yes	characteristic
367	#6433	C₂³	1	1	yes	characteristic
368	#6433	C₂³	1	1	yes	characteristic
369	#6432	C₂³	1	1	yes	characteristic
370	#6432	C₂³	1	1	yes	characteristic
371	#6432	C₂³	1	1	yes	characteristic
372	#6432	C₂³	1	1	yes	characteristic
373	#6432	C₂³	1	1	yes	characteristic
374	#6432	C₂³	1	1	yes	characteristic
375	#6432	C₂³	1	1	yes	characteristic
376	#6432	C₂³	1	1	yes	characteristic
377	#6432	C₂³	1	1	yes	characteristic
378	#6432	C₂³	1	1	yes	characteristic
379	C₄×Dic₁₄	—	2	1	no	—
380	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
381	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
382	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
383	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
384	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
385	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
386	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
387	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
388	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₈	C₂³	1	1	yes	characteristic
396	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₇×C₄⋊C₈	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
408	C₇×C₂²⋊C₈	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	C₇×#97	C₂³	1	1	yes	characteristic
413	C₇×#97	C₂³	1	1	yes	characteristic
414	C₇×#97	C₂³	1	1	yes	characteristic
415	C₇×#97	C₂³	1	1	yes	characteristic
416	C₇×#97	C₂³	1	1	yes	characteristic
417	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
418	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
419	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
420	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
421	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
422	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
423	#6395	C₂³	1	1	yes	characteristic
424	#6395	C₂³	1	1	yes	characteristic
425	#6395	C₂³	1	1	yes	characteristic
426	#6395	C₂³	1	1	yes	characteristic
427	#6395	C₂³	1	1	yes	characteristic
428	#6395	C₂³	1	1	yes	characteristic
429	#6395	C₂³	1	1	yes	characteristic
430	#6395	C₂³	1	1	yes	characteristic
431	#6395	C₂³	1	1	yes	characteristic
432	#6395	C₂³	1	1	yes	characteristic
433	#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	#6392	C₂³	1	1	yes	characteristic
438	#6392	C₂³	1	1	yes	characteristic
439	#6392	C₂³	1	1	yes	characteristic
440	#6392	C₂³	1	1	yes	characteristic
441	#6392	C₂³	1	1	yes	characteristic
442	#6392	C₂³	1	1	yes	characteristic
443	#6392	C₂³	1	1	yes	characteristic
444	#6392	C₂³	1	1	yes	characteristic
445	#6391	C₂³	1	1	yes	characteristic
446	#6391	C₂³	1	1	yes	characteristic
447	#6391	C₂³	1	1	yes	characteristic
448	#6391	C₂³	1	1	yes	characteristic
449	#6391	C₂³	1	1	yes	characteristic
450	#6391	C₂³	1	1	yes	characteristic
451	#6391	C₂³	1	1	yes	characteristic
452	#6391	C₂³	1	1	yes	characteristic
453	#6391	C₂³	1	1	yes	characteristic
454	#6391	C₂³	1	1	yes	characteristic
455	#6391	C₂³	1	1	yes	characteristic
456	#6391	C₂³	1	1	yes	characteristic
457	#6390	C₂³	1	1	yes	characteristic
458	#6390	C₂³	1	1	yes	characteristic
459	#6390	C₂³	1	1	yes	characteristic
460	#6390	C₂³	1	1	yes	characteristic
461	#6390	C₂³	1	1	yes	characteristic
462	#6390	C₂³	1	1	yes	characteristic
463	#6390	C₂³	1	1	yes	characteristic
464	#6390	C₂³	1	1	yes	characteristic
465	#6390	C₂³	1	1	yes	characteristic
466	#6390	C₂³	1	1	yes	characteristic
467	#6390	C₂³	1	1	yes	characteristic
468	#6390	C₂³	1	1	yes	characteristic
469	#6390	C₂³	1	1	yes	characteristic
470	#6390	C₂³	1	1	yes	characteristic
471	#6390	C₂³	1	1	yes	characteristic
472	#6390	C₂³	1	1	yes	characteristic
473	#6390	C₂³	1	1	yes	characteristic
474	#6390	C₂³	1	1	yes	characteristic
475	#6390	C₂³	1	1	yes	characteristic
476	#6390	C₂³	1	1	yes	characteristic
477	#6390	C₂³	1	1	yes	characteristic
478	#6390	C₂³	1	1	yes	characteristic
479	#3555	—	7	1	no	—
480	#3504	—	7	1	no	—
481	#3390	—	7	1	no	—
482	#3389	—	7	1	no	—
483	#3388	—	7	1	no	—
484	#3388	—	7	1	no	—
485	#3387	—	7	1	no	—
486	#3385	—	7	1	no	—
487	#3383	—	7	1	no	—
488	#3381	—	7	1	no	—
489	#3377	—	7	1	no	—
490	#3377	—	7	1	no	—
491	#3376	—	7	1	no	—
492	#3376	—	7	1	no	—
493	#3374	—	7	1	no	—
494	#3372	—	7	1	no	—
495	#3364	—	7	1	no	—
496	#3360	—	7	1	no	—
497	#3244	—	7	1	no	—
498	#3243	—	7	1	no	—
499	#3242	—	7	1	no	—
500	#3242	—	7	1	no	—
501	#3236	—	7	1	no	—
502	#3232	—	7	1	no	—
503	#3125	—	7	1	no	—
504	#3124	—	7	1	no	—
505	#3120	—	7	1	no	—
506	#3120	—	7	1	no	—
507	#3111	—	7	1	no	—
508	#3107	—	7	1	no	—
509	#2985	D₇	1	1	yes	characteristic, complemented
510	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
511	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
512	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
513	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₇	—	2	1	no	—
518	C₂×C₂²⋊D₇	—	2	1	no	—
519	C₂²×Dic₇	—	2	1	no	—
520	C₂²×Dic₇	—	2	1	no	—
521	#1157	—	2	2	no	—
522	#1157	—	2	2	no	—
523	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
524	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₄×D₇	—	2	1	no	—
526	C₂×C₄×D₇	—	2	1	no	—
527	C₂×C₄×D₇	—	2	1	no	—
528	C₂×C₄×D₇	—	2	1	no	—
529	C₂×C₄×D₇	—	2	1	no	—
530	C₂×C₄×D₇	—	2	1	no	—
531	C₂×C₄×D₇	—	2	1	no	—
532	C₂×C₄×D₇	—	2	1	no	—
533	C₂×C₄×D₇	—	2	1	no	—
534	C₂×C₄×D₇	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
543	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
544	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
545	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
546	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
547	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
548	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
549	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
550	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
554	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
555	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
556	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
557	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
558	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
559	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
560	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
561	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
562	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
563	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
564	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
565	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
566	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
567	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
568	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
570	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
571	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
572	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
573	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
574	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
575	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
576	C₄²×C₇	C₂⁴	1	1	yes	characteristic
577	C₄²×C₇	C₂⁴	1	1	yes	characteristic
578	C₄²×C₇	C₂⁴	1	1	yes	characteristic
579	C₄²×C₇	C₂⁴	1	1	yes	characteristic
580	C₄²×C₇	C₂⁴	1	1	yes	characteristic
581	C₄²×C₇	C₂⁴	1	1	yes	characteristic
582	C₂²⋊Dic₇	—	2	1	no	—
583	C₂²⋊Dic₇	—	2	1	no	—
584	C₂²⋊Dic₇	—	2	1	no	—
585	C₂²⋊Dic₇	—	2	1	no	—
586	(C₂×D₇)⋊C₄	—	2	1	no	—
587	(C₂×D₇)⋊C₄	—	2	1	no	—
588	(C₂×D₇)⋊C₄	—	2	1	no	—
589	(C₂×D₇)⋊C₄	—	2	1	no	—
590	(C₂×D₇)⋊C₄	—	2	1	no	—
591	(C₂×D₇)⋊C₄	—	2	1	no	—
592	(C₂×D₇)⋊C₄	—	2	1	no	—
593	(C₂×D₇)⋊C₄	—	2	1	no	—
594	(C₂×D₇)⋊C₄	—	2	1	no	—
595	(C₂×D₇)⋊C₄	—	2	1	no	—
596	(C₂×D₇)⋊C₄	—	2	1	no	—
597	(C₂×D₇)⋊C₄	—	2	1	no	—
598	(C₂×D₇)⋊C₄	—	2	1	no	—
599	(C₂×D₇)⋊C₄	—	2	1	no	—
600	(C₂×D₇)⋊C₄	—	2	1	no	—
601	(C₂×D₇)⋊C₄	—	2	1	no	—
602	C₄⋊Dic₇	—	2	1	no	—
603	C₄⋊Dic₇	—	2	1	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	C₂⁴	1	1	yes	characteristic
618	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
619	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
620	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
621	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
622	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
623	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
624	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
625	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
626	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
627	Dic₇⋊C₄	—	2	1	no	—
628	Dic₇⋊C₄	—	2	1	no	—
629	Dic₇⋊C₄	—	2	1	no	—
630	Dic₇⋊C₄	—	2	1	no	—
631	Dic₇⋊C₄	—	2	1	no	—
632	Dic₇⋊C₄	—	2	1	no	—
633	Dic₇⋊C₄	—	2	1	no	—
634	Dic₇⋊C₄	—	2	1	no	—
635	Dic₇⋊C₄	—	2	1	no	—
636	Dic₇⋊C₄	—	2	1	no	—
637	Dic₇⋊C₄	—	2	1	no	—
638	Dic₇⋊C₄	—	2	1	no	—
639	Dic₇⋊C₄	—	2	1	no	—
640	Dic₇⋊C₄	—	2	1	no	—
641	Dic₇⋊C₄	—	2	1	no	—
642	Dic₇⋊C₄	—	2	1	no	—
643	Dic₇⋊C₄	—	2	1	no	—
644	Dic₇⋊C₄	—	2	1	no	—
645	Dic₇⋊C₄	—	2	1	no	—
646	Dic₇⋊C₄	—	2	1	no	—
647	Dic₇⋊C₄	—	2	1	no	—
648	Dic₇⋊C₄	—	2	1	no	—
649	Dic₇⋊C₄	—	2	1	no	—
650	Dic₇⋊C₄	—	2	1	no	—
651	Dic₇⋊C₄	—	2	1	no	—
652	Dic₇⋊C₄	—	2	1	no	—
653	Dic₇⋊C₄	—	2	1	no	—
654	Dic₇⋊C₄	—	2	1	no	—
655	Dic₇⋊C₄	—	2	1	no	—
656	Dic₇⋊C₄	—	2	1	no	—
657	Dic₇⋊C₄	—	2	1	no	—
658	Dic₇⋊C₄	—	2	1	no	—
659	Dic₇⋊C₄	—	2	1	no	—
660	Dic₇⋊C₄	—	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	C₄×Dic₇	—	2	1	no	—
668	C₄×Dic₇	—	2	1	no	—
669	C₄×Dic₇	—	2	1	no	—
670	C₄×Dic₇	—	2	1	no	—
671	C₄×Dic₇	—	2	1	no	—
672	C₄×Dic₇	—	2	1	no	—
673	C₄×Dic₇	—	2	1	no	—
674	C₄×Dic₇	—	2	1	no	—
675	C₄×Dic₇	—	2	1	no	—
676	C₄×Dic₇	—	2	1	no	—
677	C₄×Dic₇	—	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	Dic₂₈	—	2	2	no	—
684	Dic₂₈	—	2	2	no	—
685	Dic₂₈	—	2	2	no	—
686	D₅₆	—	2	2	no	—
687	#1132	—	2	2	no	—
688	#1132	—	2	2	no	—
689	#1132	—	2	2	no	—
690	#1132	—	2	2	no	—
691	#563	—	14	1	no	—
692	#563	—	14	1	no	—
693	Q₈²	—	7	1	no	—
694	#557	—	7	1	no	—
695	#557	—	7	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	#556	—	7	1	no	—
702	#556	—	7	1	no	—
703	#556	—	7	1	no	—
704	#556	—	14	1	no	—
705	#554	—	7	1	no	—
706	#554	—	7	1	no	—
707	#554	—	7	1	no	—
708	#554	—	7	1	no	—
709	#554	—	7	1	no	—
710	#554	—	14	1	no	—
711	#554	—	14	1	no	—
712	#554	—	14	1	no	—
713	#554	—	14	1	no	—
714	#552	—	14	1	no	—
715	#544	—	7	1	no	—
716	#544	—	7	1	no	—
717	#544	—	14	1	no	—
718	#544	—	14	1	no	—
719	#544	—	14	1	no	—
720	#542	—	7	1	no	—
721	#542	—	7	1	no	—
722	#541	—	7	1	no	—
723	#541	—	7	1	no	—
724	#541	—	14	1	no	—
725	#541	—	14	1	no	—
726	#541	—	14	1	no	—
727	#533	—	7	1	no	—
728	#533	—	14	1	no	—
729	#533	C₂×D₇	1	1	yes	characteristic
730	#529	—	7	1	no	—
731	C₂×#125	—	7	1	no	—
732	C₂×#125	—	14	1	no	—
733	#520	—	7	1	no	—
734	#520	—	7	1	no	—
735	C₄×#41	—	7	1	no	—
736	#501	—	7	1	no	—
737	#501	—	7	1	no	—
738	#501	—	7	1	no	—
739	#501	—	7	1	no	—
740	#501	—	7	1	no	—
741	#501	—	7	1	no	—
742	#500	—	7	1	no	—
743	#499	—	7	1	no	—
744	#499	—	7	1	no	—
745	#499	—	7	1	no	—
746	#499	—	7	1	no	—
747	#498	—	7	1	no	—
748	#491	—	7	1	no	—
749	#491	—	7	1	no	—
750	#491	—	7	1	no	—
751	#491	—	7	1	no	—
752	#489	—	7	1	no	—
753	#489	—	7	1	no	—
754	#488	—	7	1	no	—
755	#488	—	7	1	no	—
756	#488	—	7	1	no	—
757	#488	—	7	1	no	—
758	#487	—	7	1	no	—
759	#487	—	7	1	no	—
760	#485	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#484	—	7	1	no	—
764	#484	—	7	1	no	—
765	#484	—	7	1	no	—
766	#483	—	7	1	no	—
767	#483	—	7	1	no	—
768	#483	—	7	1	no	—
769	#482	—	7	1	no	—
770	#481	—	7	1	no	—
771	#480	—	7	1	no	—
772	#479	—	7	1	no	—
773	#479	—	7	1	no	—
774	#479	—	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	—	7	1	no	—
794	#477	—	7	1	no	—
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#475	—	7	1	no	—
801	#475	—	7	1	no	—
802	#475	—	7	1	no	—
803	#475	—	7	1	no	—
804	#475	—	7	1	no	—
805	#474	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#464	—	7	1	no	—
809	#464	—	7	1	no	—
810	#464	—	7	1	no	—
811	#463	—	7	1	no	—
812	#463	—	7	1	no	—
813	#463	—	7	1	no	—
814	#462	—	7	1	no	—
815	#462	—	7	1	no	—
816	#462	—	7	1	no	—
817	#461	—	7	1	no	—
818	#461	—	7	1	no	—
819	#461	—	7	1	no	—
820	#452	—	7	1	no	—
821	#452	—	7	1	no	—
822	#452	—	7	1	no	—
823	#449	—	7	1	no	—
824	#446	C₂×D₇	1	1	yes	characteristic
825	#446	C₂×D₇	1	1	yes	characteristic
826	#446	C₂×D₇	1	1	yes	characteristic
827	#446	C₂×D₇	1	1	yes	characteristic
828	#446	C₂×D₇	1	1	yes	characteristic
829	#446	C₂×D₇	1	1	yes	characteristic
830	C₈×Q₈	C₂×D₇	1	1	yes	characteristic
831	C₈×Q₈	C₂×D₇	1	1	yes	characteristic
832	#442	—	7	1	no	—
833	#442	—	7	1	no	—
834	#441	—	7	1	no	—
835	#441	—	7	1	no	—
836	#441	—	7	1	no	—
837	#441	—	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	C₄×Q₁₆	—	7	1	no	—
845	C₄×Q₁₆	—	7	1	no	—
846	C₄×Q₁₆	—	7	1	no	—
847	C₄×Q₁₆	—	7	1	no	—
848	C₄×Q₁₆	—	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×D₈	—	7	1	no	—
856	#433	C₂×D₇	1	1	yes	characteristic
857	#433	C₂×D₇	1	1	yes	characteristic
858	#433	C₂×D₇	1	1	yes	characteristic
859	#433	C₂×D₇	1	1	yes	characteristic
860	#432	C₂×D₇	1	1	yes	characteristic
861	#431	C₂×D₇	1	1	yes	characteristic
862	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
863	C₂²×D₇	—	2	1	no	—
864	C₂²×D₇	—	2	1	no	—
865	C₇×Q₈	—	4	1	no	—
866	C₇×Q₈	—	4	1	no	—
867	C₇×Q₈	—	4	1	no	—
868	C₇×Q₈	—	4	1	no	—
869	C₂×C₄×C₇	—	2	1	no	—
870	C₂×C₄×C₇	—	2	1	no	—
871	C₂×C₄×C₇	—	4	1	no	—
872	C₂×C₄×C₇	—	4	1	no	—
873	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
874	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
875	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
876	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
877	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
878	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
879	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
880	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
883	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
884	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
885	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
887	C₂²⋊D₇	—	2	4	no	—
888	C₂²⋊D₇	—	8	1	no	—
889	C₂×Dic₇	—	2	1	no	—
890	C₂×Dic₇	—	2	1	no	—
891	C₂×Dic₇	—	2	1	no	—
892	C₂×Dic₇	—	2	1	no	—
893	C₂×Dic₇	—	2	1	no	—
894	C₂×Dic₇	—	2	1	no	—
895	C₂×Dic₇	—	2	1	no	—
896	C₂×Dic₇	—	2	1	no	—
897	C₂×Dic₇	—	2	1	no	—
898	C₂×Dic₇	—	2	1	no	—
899	C₂×Dic₇	—	2	1	no	—
900	C₂×Dic₇	—	2	1	no	—
901	C₂×Dic₇	—	2	1	no	—
902	C₂×Dic₇	—	2	1	no	—
903	C₂×Dic₇	—	8	1	no	—
904	C₂×Dic₇	—	8	1	no	—
905	D₂₈	—	2	1	no	—
906	D₂₈	—	2	1	no	—
907	D₂₈	—	2	1	no	—
908	D₂₈	2₋¹⁺⁴	1	2	yes	—
909	C₄×D₇	—	2	4	no	—
910	C₄×D₇	—	4	2	no	—
911	C₄×D₇	—	8	1	no	—
912	C₄×D₇	—	8	1	no	—
913	C₄×D₇	—	8	1	no	—
914	C₄×D₇	—	8	1	no	—
915	C₄×D₇	—	8	1	no	—
916	C₄×D₇	—	8	1	no	—
917	C₄×D₇	—	8	1	no	—
918	C₄×D₇	—	8	1	no	—
919	Dic₁₄	—	2	1	no	—
920	Dic₁₄	—	2	1	no	—
921	Dic₁₄	—	2	1	no	—
922	Dic₁₄	—	2	1	no	—
923	Dic₁₄	—	2	1	no	—
924	Dic₁₄	—	2	1	no	—
925	Dic₁₄	—	2	1	no	—
926	Dic₁₄	—	8	1	no	—
927	Dic₁₄	—	8	1	no	—
928	Dic₁₄	—	8	1	no	—
929	Dic₁₄	—	8	1	no	—
930	Dic₁₄	—	8	1	no	—
931	Dic₁₄	—	8	1	no	—
932	Dic₁₄	—	8	1	no	—
933	Dic₁₄	2₋¹⁺⁴	1	2	yes	—
934	C₇×C₈	—	2	1	no	—
935	C₇×C₈	—	2	1	no	—
936	C₇×C₈	—	2	1	no	—
937	C₇×C₈	—	2	1	no	—
938	C₇×C₈	—	2	1	no	—
939	C₇×C₈	—	2	1	no	—
940	C₇×C₈	—	2	1	no	—
941	C₇×C₈	—	2	1	no	—
942	C₂×#41	—	7	1	no	—
943	C₂×Q₁₆	—	7	1	no	—
944	C₂×Q₁₆	—	7	1	no	—
945	C₂×Q₁₆	—	7	1	no	—
946	C₂×SD₁₆	—	7	1	no	—
947	C₂×SD₁₆	—	7	1	no	—
948	C₂×SD₁₆	—	7	1	no	—
949	C₂×SD₁₆	—	7	1	no	—
950	C₂×D₈	—	7	1	no	—
951	C₄⋊Q₈	—	7	1	no	—
952	C₄⋊Q₈	—	7	1	no	—
953	C₄⋊Q₈	—	7	1	no	—
954	C₄⋊Q₈	—	7	1	no	—
955	C₄⋊Q₈	—	7	1	no	—
956	C₄⋊Q₈	—	7	1	no	—
957	C₄⋊Q₈	—	7	1	no	—
958	C₄⋊Q₈	—	7	1	no	—
959	C₄⋊Q₈	—	7	1	no	—
960	C₄⋊Q₈	—	7	1	no	—
961	C₄⋊Q₈	—	14	1	no	—
962	C₄⋊Q₈	—	14	1	no	—
963	C₄⋊Q₈	—	14	1	no	—
964	C₄⋊Q₈	—	14	1	no	—
965	C₄⋊Q₈	—	14	1	no	—
966	C₄⋊Q₈	—	14	1	no	—
967	C₄⋊Q₈	—	14	1	no	—
968	C₄⋊Q₈	—	14	1	no	—
969	C₄⋊Q₈	—	14	1	no	—
970	C₄⋊Q₈	—	14	1	no	—
971	C₄⋊Q₈	—	14	1	no	—
972	C₄⋊Q₈	D₂₈	1	1	yes	characteristic
973	C₄⋊Q₈	D₂₈	1	1	yes	characteristic
974	#126	—	14	1	no	—
975	#126	—	14	1	no	—
976	#126	—	14	1	no	—
977	#126	—	14	1	no	—
978	#126	—	14	1	no	—
979	#126	—	14	1	no	—
980	#126	—	14	1	no	—
981	#126	—	14	1	no	—
982	#126	—	14	1	no	—
983	#126	—	14	1	no	—
984	#126	—	14	1	no	—
985	#126	—	14	1	no	—
986	#126	—	14	1	no	—
987	#125	—	7	1	no	—
988	#125	—	7	1	no	—
989	#125	—	7	1	no	—
990	#125	—	7	1	no	—
991	#125	—	7	1	no	—
992	#125	—	7	1	no	—
993	#125	—	7	1	no	—
994	#125	—	7	1	no	—
995	#125	—	7	1	no	—
996	#125	—	7	1	no	—
997	#125	—	7	1	no	—
998	#125	—	14	1	no	—
999	#125	—	14	1	no	—
1000	#125	—	14	1	no	—
1001	#125	—	14	1	no	—
1002	#125	—	14	1	no	—
1003	#125	—	14	1	no	—
1004	#125	—	14	1	no	—
1005	#125	—	14	1	no	—
1006	#125	—	14	1	no	—
1007	#125	—	14	1	no	—
1008	#125	—	14	1	no	—
1009	#125	—	14	1	no	—
1010	#125	—	14	1	no	—
1011	#125	—	14	1	no	—
1012	#125	—	14	1	no	—
1013	#125	—	14	1	no	—
1014	#125	—	14	1	no	—
1015	#125	—	14	1	no	—
1016	#125	—	14	1	no	—
1017	#125	—	14	1	no	—
1018	#125	—	14	1	no	—
1019	#125	—	14	1	no	—
1020	#125	—	14	1	no	—
1021	#125	—	14	1	no	—
1022	#125	D₂₈	1	1	yes	characteristic
1023	#125	D₂₈	1	1	yes	characteristic
1024	#124	—	7	1	no	—
1025	#124	—	7	1	no	—
1026	#124	—	7	1	no	—
1027	#124	—	14	1	no	—
1028	#124	—	14	1	no	—
1029	#123	—	14	1	no	—
1030	#123	—	14	1	no	—
1031	#123	—	14	1	no	—
1032	C₂²⋊Q₈	—	7	1	no	—
1033	C₂²⋊Q₈	—	7	1	no	—
1034	C₂²⋊Q₈	—	7	1	no	—
1035	C₂²⋊Q₈	—	14	1	no	—
1036	C₂²⋊Q₈	—	14	1	no	—
1037	C₂²⋊Q₈	—	14	1	no	—
1038	C₂²⋊Q₈	—	14	1	no	—
1039	C₂²⋊Q₈	—	14	1	no	—
1040	C₂²⋊Q₈	—	14	1	no	—
1041	C₂²⋊Q₈	—	14	1	no	—
1042	C₂²⋊Q₈	—	14	1	no	—
1043	C₂²⋊Q₈	—	14	1	no	—
1044	C₂²⋊Q₈	—	14	1	no	—
1045	C₂²⋊Q₈	—	14	1	no	—
1046	C₂²⋊Q₈	—	14	1	no	—
1047	C₂²⋊Q₈	—	14	1	no	—
1048	C₂²⋊Q₈	—	14	1	no	—
1049	C₂²⋊Q₈	—	14	1	no	—
1050	C₂²⋊Q₈	—	14	1	no	—
1051	C₂²⋊Q₈	—	14	1	no	—
1052	C₂²⋊Q₈	—	14	1	no	—
1053	C₂²⋊Q₈	—	14	1	no	—
1054	C₂²⋊Q₈	—	14	1	no	—
1055	C₂²⋊Q₈	—	14	1	no	—
1056	C₂²⋊Q₈	—	14	1	no	—
1057	C₂²⋊Q₈	—	14	1	no	—
1058	C₂²⋊Q₈	—	14	1	no	—
1059	C₂²⋊Q₈	—	14	1	no	—
1060	C₂²⋊Q₈	D₂₈	1	1	yes	characteristic
1061	C₂²⋊Q₈	D₂₈	1	1	yes	characteristic
1062	C₂²⋊Q₈	D₂₈	1	1	yes	characteristic
1063	C₂²⋊Q₈	D₂₈	1	1	yes	characteristic
1064	#121	—	7	1	no	—
1065	C₄×Q₈	—	7	1	no	—
1066	C₄×Q₈	—	7	1	no	—
1067	C₄×Q₈	—	7	1	no	—
1068	C₄×Q₈	—	7	1	no	—
1069	C₄×Q₈	—	7	1	no	—
1070	C₄×Q₈	—	7	1	no	—
1071	C₄×Q₈	—	7	1	no	—
1072	C₄×Q₈	—	7	1	no	—
1073	C₄×Q₈	—	7	1	no	—
1074	C₄×Q₈	—	7	1	no	—
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	—	14	1	no	—
1081	C₄×Q₈	—	14	1	no	—
1082	C₄×Q₈	—	14	1	no	—
1083	C₄×Q₈	—	14	1	no	—
1084	C₄×Q₈	—	14	1	no	—
1085	C₄×Q₈	—	14	1	no	—
1086	C₄×Q₈	—	14	1	no	—
1087	C₄×Q₈	—	14	1	no	—
1088	C₄×Q₈	—	14	1	no	—
1089	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1090	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1091	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1092	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1093	C₄×D₄	—	7	1	no	—
1094	C₄×D₄	—	7	1	no	—
1095	C₄×D₄	—	7	1	no	—
1096	C₄×D₄	—	7	1	no	—
1097	C₄×D₄	—	7	1	no	—
1098	C₄×D₄	—	7	1	no	—
1099	C₄×D₄	—	7	1	no	—
1100	C₄×D₄	—	7	1	no	—
1101	C₄×D₄	—	7	1	no	—
1102	C₄×D₄	—	14	1	no	—
1103	C₄×D₄	—	14	1	no	—
1104	C₄×D₄	—	14	1	no	—
1105	C₄×D₄	—	14	1	no	—
1106	C₄×D₄	—	14	1	no	—
1107	C₄×D₄	—	14	1	no	—
1108	C₄×D₄	—	14	1	no	—
1109	#117	—	7	1	no	—
1110	#117	—	14	1	no	—
1111	#117	—	14	1	no	—
1112	#117	—	14	1	no	—
1113	#117	—	14	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	—	14	1	no	—
1123	C₂×C₄⋊C₄	—	14	1	no	—
1124	C₂×C₄⋊C₄	—	14	1	no	—
1125	C₂×C₄⋊C₄	—	14	1	no	—
1126	C₂×C₄⋊C₄	—	14	1	no	—
1127	C₂×C₄⋊C₄	—	14	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×C₄²	—	14	1	no	—
1132	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1133	#107	—	7	1	no	—
1134	#107	—	7	1	no	—
1135	#107	—	7	1	no	—
1136	#107	—	7	1	no	—
1137	#107	—	7	1	no	—
1138	#107	—	7	1	no	—
1139	#107	—	7	1	no	—
1140	#107	—	7	1	no	—
1141	#107	—	7	1	no	—
1142	#107	—	7	1	no	—
1143	#107	—	7	1	no	—
1144	#107	—	7	1	no	—
1145	#106	—	7	1	no	—
1146	#106	—	7	1	no	—
1147	#106	—	7	1	no	—
1148	#106	—	7	1	no	—
1149	#106	—	7	1	no	—
1150	#106	—	7	1	no	—
1151	#106	—	7	1	no	—
1152	#106	—	7	1	no	—
1153	#106	—	7	1	no	—
1154	#106	—	7	1	no	—
1155	#106	—	7	1	no	—
1156	#106	—	7	1	no	—
1157	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1158	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1159	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1160	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1161	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1162	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1163	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1164	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1165	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1166	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1167	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1168	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1169	#103	—	7	1	no	—
1170	#103	—	7	1	no	—
1171	#103	—	7	1	no	—
1172	#103	—	7	1	no	—
1173	#103	—	7	1	no	—
1174	#103	—	7	1	no	—
1175	#103	—	7	1	no	—
1176	#103	—	7	1	no	—
1177	#103	—	7	1	no	—
1178	#103	—	7	1	no	—
1179	#103	—	7	1	no	—
1180	#103	—	7	1	no	—
1181	#103	—	7	1	no	—
1182	#103	—	7	1	no	—
1183	#103	—	7	1	no	—
1184	#103	—	7	1	no	—
1185	#103	—	7	1	no	—
1186	#103	—	7	1	no	—
1187	#103	—	7	1	no	—
1188	#103	—	7	1	no	—
1189	#103	—	7	1	no	—
1190	#103	—	7	1	no	—
1191	#102	—	7	1	no	—
1192	#102	—	7	1	no	—
1193	#102	—	7	1	no	—
1194	#102	—	7	1	no	—
1195	#102	—	7	1	no	—
1196	#102	—	7	1	no	—
1197	#102	—	7	1	no	—
1198	#102	—	7	1	no	—
1199	#102	—	7	1	no	—
1200	#102	—	7	1	no	—
1201	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1202	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1203	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1204	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1205	#97	C₂²×D₇	1	1	yes	characteristic
1206	#97	C₂²×D₇	1	1	yes	characteristic
1207	#97	C₂²×D₇	1	1	yes	characteristic
1208	#97	C₂²×D₇	1	1	yes	characteristic
1209	#97	C₂²×D₇	1	1	yes	characteristic
1210	#97	C₂²×D₇	1	1	yes	characteristic
1211	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1212	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1213	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1214	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1215	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1216	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1217	C₂²×C₇	—	2	1	no	—
1218	C₂²×C₇	—	2	1	no	—
1219	C₂²×C₇	—	2	1	no	—
1220	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1221	C₂×D₇	—	2	2	no	—
1222	C₂×D₇	—	4	1	no	—
1223	C₂×D₇	—	4	1	no	—
1224	C₂×D₇	—	4	1	no	—
1225	C₂×D₇	—	4	1	no	—
1226	C₂×D₇	—	4	1	no	—
1227	C₄×C₇	—	2	1	no	—
1228	C₄×C₇	—	2	1	no	—
1229	C₄×C₇	—	2	1	no	—
1230	C₄×C₇	—	2	1	no	—
1231	C₄×C₇	—	2	1	no	—
1232	C₄×C₇	—	2	1	no	—
1233	C₄×C₇	—	2	1	no	—
1234	C₄×C₇	—	2	1	no	—
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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1241	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1242	Dic₇	—	2	2	no	—
1243	Dic₇	—	4	1	no	—
1244	Dic₇	—	4	1	no	—
1245	Dic₇	—	4	1	no	—
1246	Dic₇	—	4	1	no	—
1247	Dic₇	—	4	1	no	—
1248	Dic₇	—	4	1	no	—
1249	Dic₇	—	4	1	no	—
1250	Dic₇	—	4	1	no	—
1251	Dic₇	—	4	1	no	—
1252	Dic₇	—	4	1	no	—
1253	Dic₇	—	4	1	no	—
1254	Dic₇	—	4	1	no	—
1255	Dic₇	—	4	1	no	—
1256	#41	—	14	2	no	—
1257	#41	—	14	2	no	—
1258	C₂×Q₈	—	7	1	no	—
1259	C₂×Q₈	—	7	1	no	—
1260	C₂×Q₈	—	7	1	no	—
1261	C₂×Q₈	—	7	1	no	—
1262	C₂×Q₈	—	14	1	no	—
1263	C₂×Q₈	—	14	1	no	—
1264	C₂×Q₈	—	14	1	no	—
1265	C₂×Q₈	—	14	1	no	—
1266	C₂×Q₈	—	14	1	no	—
1267	C₂×Q₈	—	14	1	no	—
1268	C₂×Q₈	—	14	1	no	—
1269	C₂×Q₈	C₂×D₂₈	1	1	yes	characteristic
1270	C₂×Q₈	C₂×D₂₈	1	1	yes	characteristic
1271	C₂×Q₈	C₂×D₂₈	1	1	yes	characteristic
1272	C₂×Q₈	C₂×D₂₈	1	1	yes	characteristic
1273	C₂×D₄	—	7	1	no	—
1274	C₂×D₄	—	7	1	no	—
1275	C₂×D₄	—	14	1	no	—
1276	C₂×D₄	—	14	1	no	—
1277	C₂²×C₄	—	14	1	no	—
1278	C₂²×C₄	—	14	1	no	—
1279	C₂²×C₄	—	14	1	no	—
1280	C₂²×C₄	—	14	1	no	—
1281	C₂²×C₄	—	14	1	no	—
1282	C₂²×C₄	—	14	1	no	—
1283	C₂²×C₄	—	14	1	no	—
1284	C₂²×C₄	—	14	1	no	—
1285	C₂²×C₄	—	14	1	no	—
1286	C₂²×C₄	—	14	1	no	—
1287	C₂²×C₄	—	14	1	no	—
1288	C₂²×C₄	—	14	1	no	—
1289	C₂²×C₄	C₂×D₂₈	1	1	yes	characteristic
1290	C₂²×C₄	C₂×D₂₈	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1292	Q₁₆	—	14	2	no	—
1293	Q₁₆	—	14	2	no	—
1294	Q₁₆	—	14	2	no	—
1295	SD₁₆	—	14	2	no	—
1296	SD₁₆	—	14	2	no	—
1297	SD₁₆	—	14	2	no	—
1298	SD₁₆	—	14	2	no	—
1299	D₈	—	14	2	no	—
1300	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1301	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1302	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1303	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1304	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1305	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1306	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1307	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1308	C₄⋊C₄	—	7	1	no	—
1309	C₄⋊C₄	—	7	1	no	—
1310	C₄⋊C₄	—	7	1	no	—
1311	C₄⋊C₄	—	7	1	no	—
1312	C₄⋊C₄	—	7	1	no	—
1313	C₄⋊C₄	—	7	1	no	—
1314	C₄⋊C₄	—	7	1	no	—
1315	C₄⋊C₄	—	7	1	no	—
1316	C₄⋊C₄	—	7	1	no	—
1317	C₄⋊C₄	—	7	1	no	—
1318	C₄⋊C₄	—	14	1	no	—
1319	C₄⋊C₄	—	14	1	no	—
1320	C₄⋊C₄	—	14	1	no	—
1321	C₄⋊C₄	—	14	1	no	—
1322	C₄⋊C₄	—	14	1	no	—
1323	C₄⋊C₄	—	14	1	no	—
1324	C₄⋊C₄	—	14	1	no	—
1325	C₄⋊C₄	—	14	1	no	—
1326	C₄⋊C₄	—	14	1	no	—
1327	C₄⋊C₄	—	14	1	no	—
1328	C₄⋊C₄	—	14	1	no	—
1329	C₄⋊C₄	—	14	1	no	—
1330	C₄⋊C₄	—	14	1	no	—
1331	C₄⋊C₄	—	14	1	no	—
1332	C₄⋊C₄	—	14	1	no	—
1333	C₄⋊C₄	—	14	1	no	—
1334	C₄⋊C₄	—	14	1	no	—
1335	C₄⋊C₄	—	14	1	no	—
1336	C₄⋊C₄	—	14	1	no	—
1337	C₄⋊C₄	—	14	1	no	—
1338	C₄⋊C₄	—	14	1	no	—
1339	C₄⋊C₄	—	14	1	no	—
1340	C₄⋊C₄	—	14	1	no	—
1341	C₄⋊C₄	—	14	1	no	—
1342	C₄⋊C₄	—	14	1	no	—
1343	C₄⋊C₄	—	14	1	no	—
1344	C₄⋊C₄	—	14	1	no	—
1345	C₄⋊C₄	—	14	1	no	—
1346	C₄⋊C₄	—	14	1	no	—
1347	C₄⋊C₄	—	14	1	no	—
1348	C₄⋊C₄	—	14	1	no	—
1349	C₄⋊C₄	—	14	1	no	—
1350	C₄⋊C₄	—	14	1	no	—
1351	C₄⋊C₄	—	14	1	no	—
1352	C₄⋊C₄	—	14	1	no	—
1353	C₄⋊C₄	—	14	1	no	—
1354	C₄⋊C₄	—	14	1	no	—
1355	C₄⋊C₄	—	14	1	no	—
1356	C₄⋊C₄	—	14	1	no	—
1357	C₄⋊C₄	—	14	1	no	—
1358	C₄⋊C₄	—	14	1	no	—
1359	C₄⋊C₄	—	14	1	no	—
1360	C₄⋊C₄	—	14	1	no	—
1361	C₄⋊C₄	—	14	1	no	—
1362	C₄⋊C₄	—	14	1	no	—
1363	C₄⋊C₄	—	14	1	no	—
1364	C₄⋊C₄	—	14	1	no	—
1365	C₄⋊C₄	—	14	1	no	—
1366	C₄⋊C₄	—	14	1	no	—
1367	C₄⋊C₄	—	14	1	no	—
1368	C₄⋊C₄	—	14	1	no	—
1369	C₄⋊C₄	—	14	1	no	—
1370	C₄⋊C₄	—	14	1	no	—
1371	C₄⋊C₄	—	14	1	no	—
1372	C₄⋊C₄	—	14	1	no	—
1373	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1374	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1375	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1376	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1377	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1378	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1379	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1380	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1381	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1382	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1383	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1384	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1385	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1386	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1387	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1388	C₄⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1389	C₂²⋊C₄	—	14	1	no	—
1390	C₂²⋊C₄	—	14	1	no	—
1391	C₂²⋊C₄	—	14	1	no	—
1392	C₂²⋊C₄	—	14	1	no	—
1393	C₂²⋊C₄	—	14	1	no	—
1394	C₂²⋊C₄	—	14	1	no	—
1395	C₂²⋊C₄	—	14	1	no	—
1396	C₂²⋊C₄	—	14	1	no	—
1397	C₂²⋊C₄	—	14	1	no	—
1398	C₂²⋊C₄	—	14	1	no	—
1399	C₂²⋊C₄	—	14	1	no	—
1400	C₂²⋊C₄	—	14	1	no	—
1401	C₂²⋊C₄	—	14	1	no	—
1402	C₂²⋊C₄	—	14	1	no	—
1403	C₂²⋊C₄	—	14	1	no	—
1404	C₂²⋊C₄	—	14	1	no	—
1405	C₂²⋊C₄	—	14	1	no	—
1406	C₂²⋊C₄	—	14	1	no	—
1407	C₂²⋊C₄	—	14	1	no	—
1408	C₂²⋊C₄	—	14	1	no	—
1409	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1410	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1411	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1412	C₂²⋊C₄	C₂×D₂₈	1	1	yes	characteristic
1413	C₄²	—	14	1	no	—
1414	C₄²	—	14	1	no	—
1415	C₄²	—	14	1	no	—
1416	C₄²	—	14	1	no	—
1417	C₄²	—	14	1	no	—
1418	C₄²	—	14	1	no	—
1419	C₄²	—	14	1	no	—
1420	C₄²	—	14	1	no	—
1421	C₄²	—	14	1	no	—
1422	C₄²	—	14	1	no	—
1423	C₄²	—	14	1	no	—
1424	C₄²	—	14	1	no	—
1425	C₄²	—	14	1	no	—
1426	C₄²	—	14	1	no	—
1427	C₄²	—	14	1	no	—
1428	C₄²	—	14	1	no	—
1429	C₄²	C₂×D₂₈	1	1	yes	characteristic
1430	C₄²	C₂×D₂₈	1	1	yes	characteristic
1431	C₄²	C₂³×D₇	1	1	yes	characteristic
1432	C₄²	C₂³×D₇	1	1	yes	characteristic
1433	C₄²	C₂³×D₇	1	1	yes	characteristic
1434	C₄²	C₂³×D₇	1	1	yes	characteristic
1435	C₄²	C₂³×D₇	1	1	yes	characteristic
1436	C₄²	C₂³×D₇	1	1	yes	characteristic
1437	C₂×C₇	—	4	1	no	—
1438	C₂×C₇	#3486	1	1	yes	characteristic
1439	C₂×C₇	#3584	1	1	yes	characteristic
1440	C₂×C₇	#3586	1	1	yes	characteristic
1441	D₇	—	4	2	no	—
1442	D₇	—	8	1	no	—
1443	C₂³	—	14	1	no	—
1444	C₂³	—	14	1	no	—
1445	C₂³	C₂²×D₂₈	1	1	yes	characteristic
1446	Q₈	—	4	1	no	—
1447	Q₈	—	4	1	no	—
1448	Q₈	—	4	1	no	—
1449	Q₈	—	4	1	no	—
1450	Q₈	—	7	2	no	—
1451	Q₈	—	14	1	no	—
1452	Q₈	—	14	1	no	—
1453	Q₈	—	14	1	no	—
1454	Q₈	—	14	1	no	—
1455	Q₈	—	14	1	no	—
1456	Q₈	—	14	1	no	—
1457	Q₈	—	14	1	no	—
1458	Q₈	—	56	1	no	—
1459	Q₈	—	56	1	no	—
1460	Q₈	—	56	1	no	—
1461	Q₈	—	56	1	no	—
1462	Q₈	—	56	1	no	—
1463	Q₈	—	56	1	no	—
1464	Q₈	—	56	1	no	—
1465	D₄	—	7	2	no	—
1466	D₄	—	14	4	no	—
1467	D₄	—	14	1	no	—
1468	D₄	—	14	1	no	—
1469	D₄	—	14	1	no	—
1470	D₄	—	56	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	4	1	no	—
1474	C₂×C₄	—	4	1	no	—
1475	C₂×C₄	—	14	4	no	—
1476	C₂×C₄	—	14	1	no	—
1477	C₂×C₄	—	14	1	no	—
1478	C₂×C₄	—	14	1	no	—
1479	C₂×C₄	—	14	1	no	—
1480	C₂×C₄	—	14	1	no	—
1481	C₂×C₄	—	14	1	no	—
1482	C₂×C₄	—	14	1	no	—
1483	C₂×C₄	—	14	1	no	—
1484	C₂×C₄	—	14	1	no	—
1485	C₂×C₄	—	14	1	no	—
1486	C₂×C₄	—	14	1	no	—
1487	C₂×C₄	—	14	1	no	—
1488	C₂×C₄	—	14	1	no	—
1489	C₂×C₄	—	14	1	no	—
1490	C₂×C₄	—	28	2	no	—
1491	C₂×C₄	—	56	1	no	—
1492	C₂×C₄	—	56	1	no	—
1493	C₂×C₄	—	56	1	no	—
1494	C₂×C₄	—	56	1	no	—
1495	C₂×C₄	—	56	1	no	—
1496	C₂×C₄	—	56	1	no	—
1497	C₂×C₄	—	56	1	no	—
1498	C₂×C₄	—	56	1	no	—
1499	C₂×C₄	—	56	1	no	—
1500	C₂×C₄	—	56	1	no	—
1501	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1502	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1503	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1504	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1505	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1506	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1507	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1508	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1509	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1510	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1511	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1512	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1513	C₂×C₄	C₂²×D₂₈	1	1	yes	characteristic
1514	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1515	C₈	—	2	1	no	—
1516	C₈	—	2	1	no	—
1517	C₈	—	2	1	no	—
1518	C₈	—	2	1	no	—
1519	C₈	—	2	1	no	—
1520	C₈	—	2	1	no	—
1521	C₈	—	2	1	no	—
1522	C₈	—	2	1	no	—
1523	C₇	#61862	1	1	yes	characteristic, complemented, Sylow
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	14	2	no	—
1528	C₂²	—	28	1	no	—
1529	C₂²	—	28	1	no	—
1530	C₂²	—	28	1	no	—
1531	C₂²	—	28	1	no	—
1532	C₂²	—	28	1	no	—
1533	C₂²	C₂³×D₂₈	1	1	yes	characteristic
1534	C₄	—	2	1	no	—
1535	C₄	—	2	1	no	—
1536	C₄	—	2	1	no	—
1537	C₄	—	2	1	no	—
1538	C₄	—	2	1	no	—
1539	C₄	—	2	1	no	—
1540	C₄	—	2	1	no	—
1541	C₄	—	2	1	no	—
1542	C₄	—	2	1	no	—
1543	C₄	—	2	1	no	—
1544	C₄	—	2	1	no	—
1545	C₄	—	2	1	no	—
1546	C₄	—	2	1	no	—
1547	C₄	—	14	2	no	—
1548	C₄	—	28	1	no	—
1549	C₄	—	28	1	no	—
1550	C₄	—	28	1	no	—
1551	C₄	—	28	1	no	—
1552	C₄	—	28	1	no	—
1553	C₄	—	28	1	no	—
1554	C₄	—	28	1	no	—
1555	C₄	—	28	1	no	—
1556	C₄	—	28	1	no	—
1557	C₄	—	28	1	no	—
1558	C₄	—	28	1	no	—
1559	C₄	—	28	1	no	—
1560	C₄	—	28	1	no	—
1561	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1562	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1563	C₂	—	4	1	no	—
1564	C₂	—	28	2	no	—
1565	C₂	—	56	1	no	—
1566	C₂	#11742949	1	1	yes	characteristic
1567	C₂	#11744231	1	1	yes	characteristic
1568	C₂	#11744236	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₂₈
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#2985	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#89506	C₂²
hypercenter	#2985	D₇
hypocenter	C₇	#61862
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #533 ◁ #2985

Complements

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

N	H ≅ G/N	type
1. #11743350	C₂	semidirect
2. #11743336	C₂	semidirect
3. C₇×#2985	C₂	semidirect
4. #11737432	C₂	semidirect
5. #11737431	C₂	semidirect
6. #11737430	C₂	semidirect
7. #11737430	C₂	semidirect
8. #11737428	C₂	semidirect
9. #11737424	C₂	semidirect
10. #11737423	C₂	semidirect
11. #11737423	C₂	semidirect
12. #11737421	C₂	semidirect
13. #11737419	C₂	semidirect
14. #11737419	C₂	semidirect
15. #11737417	C₂	semidirect
16. #11737382	C₂	semidirect
17. #11737379	C₂	semidirect
18. #11737376	C₂	semidirect
19. #11737371	C₂	semidirect
22. #11736830	C₂	semidirect
23. #11736830	C₂	semidirect
24. #11736810	C₂	semidirect
25. #11736809	C₂	semidirect
26. #11736808	C₂	semidirect
27. #11736808	C₂	semidirect
29. #11736765	C₂	semidirect
30. #11736747	C₂	semidirect
31. #11736719	C₂	semidirect
509. #2985	D₇	semidirect
1523. C₇	#61862	semidirect

Maximal subgroups

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

subgroup	index
#11743350	2
#11743336	2
C₇×#2985	2
#11737432	2
#11737431	2
#11737430	2
#11737428	2
#11737424	2
#11737423	2
#11737421	2
#11737419	2
#11737417	2
#11737382	2
#11737379	2
#11737376	2
#11737371	2
#11736834	2
#11736833	2
#11736830	2
#11736810	2
#11736809	2
#11736808	2
#11736790	2
#11736765	2
#11736747	2
#11736719	2
#61862	7