Subgroups — #27095075

Order 12032.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256946	C₂	1	1	yes	maximal, characteristic
2	#20255957	C₂	1	2	yes	maximal, complemented
3	#20255948	C₂	1	2	yes	maximal, complemented
4	#20255918	C₂	1	2	yes	maximal, complemented
5	#20255897	C₂	1	2	yes	maximal, complemented
6	#20255843	C₂	1	2	yes	maximal, complemented
7	#20255828	C₂	1	2	yes	maximal, complemented
8	#20255767	C₂	1	2	yes	maximal, complemented
9	#20255750	C₂	1	2	yes	maximal, complemented
10	#20253937	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253332	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253332	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253319	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253311	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253206	C₂	1	1	yes	maximal, characteristic, complemented
16	#20253193	C₂	1	1	yes	maximal, characteristic, complemented
17	#20253014	C₂	1	1	yes	maximal, characteristic, complemented
18	#20253014	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094055	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251977	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689163	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094055	C₂²	1	1	yes	characteristic
25	C₂²×#10625329	C₂²	1	1	yes	characteristic
26	C₂²×#10625329	C₂²	1	1	yes	characteristic
27	#15689843	C₂²	1	1	yes	characteristic
28	#15689838	C₂²	1	1	yes	characteristic
29	#15689830	C₂²	1	1	yes	characteristic
30	#15689819	C₂²	1	1	yes	characteristic
31	#15689819	C₂²	1	1	yes	characteristic
32	#15689813	C₂²	1	1	yes	characteristic
33	#15689813	C₂²	1	1	yes	characteristic
34	#15689808	—	2	1	no	—
35	#15689799	—	2	1	no	—
36	#15689799	—	2	1	no	—
37	#15689777	C₂²	1	1	yes	characteristic
38	#15689767	—	2	1	no	—
39	#15689680	C₂²	1	1	yes	characteristic
40	#15689655	—	2	1	no	—
41	#15689653	—	2	1	no	—
42	#15689653	—	2	1	no	—
43	#15689634	C₂²	1	1	yes	characteristic
44	#15689634	C₂²	1	1	yes	characteristic
45	C₄×#10625350	C₂²	1	1	yes	characteristic
46	C₄×#10625352	—	2	1	no	—
47	C₂×#13093983	C₂²	1	1	yes	characteristic
48	C₂×#13093983	C₂²	1	1	yes	characteristic
49	#15689533	C₂²	1	2	yes	complemented
50	#15689533	C₂²	1	2	yes	complemented
51	#15689522	C₂²	1	2	yes	complemented
52	#15689522	C₂²	1	2	yes	complemented
53	#15689464	C₂²	1	2	yes	complemented
54	#15689464	C₂²	1	2	yes	complemented
55	#15689461	C₂²	1	2	yes	complemented
56	#15689461	C₂²	1	2	yes	complemented
57	#15689461	C₂²	1	2	yes	complemented
58	#15689461	C₂²	1	2	yes	complemented
59	#15689458	C₂²	1	2	yes	complemented
60	#15689456	C₂²	1	2	yes	complemented
61	#15689456	C₂²	1	2	yes	complemented
62	#15689453	C₂²	1	2	yes	complemented
63	#15689451	C₂²	1	2	yes	complemented
64	#15689451	C₂²	1	2	yes	complemented
65	#15689447	C₂²	1	2	yes	complemented
66	#15689447	C₂²	1	2	yes	complemented
67	#15689441	C₂²	1	2	yes	complemented
68	#15689436	C₂²	1	2	yes	complemented
69	#15689430	C₂²	1	2	yes	complemented
70	#15689430	C₂²	1	2	yes	complemented
71	#15689427	C₂²	1	2	yes	complemented
72	#15689427	C₂²	1	2	yes	complemented
73	#15689420	C₂²	1	2	yes	complemented
74	#15689420	C₂²	1	2	yes	complemented
75	#15689418	C₂²	1	2	yes	complemented
76	#15689408	C₂²	1	2	yes	complemented
77	#15689379	C₂²	1	2	yes	complemented
78	#15689379	C₂²	1	2	yes	complemented
79	#15689371	C₂²	1	2	yes	complemented
80	#15689371	C₂²	1	2	yes	complemented
81	#15689362	C₂²	1	2	yes	complemented
82	#15689362	C₂²	1	2	yes	complemented
83	#15689354	C₂²	1	2	yes	complemented
84	#15689354	C₂²	1	2	yes	complemented
85	#15689228	C₂²	1	2	yes	complemented
86	#15689221	C₂²	1	2	yes	complemented
87	C₄×#10625337	C₂²	1	2	yes	complemented
88	C₄×#10625336	C₂²	1	2	yes	complemented
89	#15689201	C₂²	1	2	yes	—
90	#15689195	C₂²	1	2	yes	—
91	#15689195	C₂²	1	2	yes	—
92	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
93	#15689166	C₂²	1	2	yes	complemented
94	#15689166	C₂²	1	2	yes	complemented
95	#15689163	C₂²	1	1	yes	characteristic
96	#15689163	C₂²	1	1	yes	characteristic
97	#15689163	C₂²	1	1	yes	characteristic
98	#15689163	C₂²	1	1	yes	characteristic
99	#15689163	C₂²	1	1	yes	characteristic
100	#15689163	C₂²	1	1	yes	characteristic
101	#15689163	C₂²	1	1	yes	characteristic
102	#15689163	C₂²	1	1	yes	characteristic
103	#15689163	C₂²	1	1	yes	characteristic
104	#15689163	C₂²	1	2	yes	complemented
105	#15689163	C₂²	1	2	yes	complemented
106	#15689159	C₂²	1	2	yes	complemented
107	#15689159	C₂²	1	2	yes	complemented
108	C₂×#13093957	C₂²	1	2	yes	complemented
109	C₂×#13093955	C₂²	1	2	yes	complemented
110	#15689147	C₂²	1	1	yes	characteristic
111	#15689132	C₂²	1	1	yes	characteristic
112	#15689132	C₂²	1	1	yes	characteristic
113	#15689132	C₂²	1	1	yes	characteristic
114	#15689122	C₂²	1	1	yes	characteristic
115	#15689122	C₂²	1	1	yes	characteristic
116	#15689122	C₂²	1	1	yes	characteristic
117	#15689087	C₂²	1	1	yes	characteristic
118	#15689087	C₂²	1	1	yes	characteristic
119	C₄×#10625329	C₂²	1	1	yes	characteristic
120	C₄₇×#552	—	2	1	no	—
121	C₄₇×#552	—	2	1	no	—
122	C₄₇×#552	—	2	1	no	—
123	C₄₇×#552	—	2	1	no	—
124	C₄₇×#552	C₂²	1	2	yes	—
125	C₄₇×#552	C₂²	1	2	yes	—
126	C₄₇×#552	C₂²	1	2	yes	—
127	C₄₇×#552	C₂²	1	2	yes	—
128	C₂×#126×C₄₇	—	2	1	no	—
129	C₂×#125×C₄₇	—	2	1	no	—
130	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
131	C₂×#123×C₄₇	—	2	1	no	—
132	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
133	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
134	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
135	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
136	C₂×#117×C₄₇	—	2	1	no	—
137	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
138	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
139	C₂×#10625350	C₂³	1	1	yes	characteristic
140	C₂×#10625352	—	2	1	no	—
141	#13094055	—	2	4	no	—
142	C₂×#10625337	C₂³	1	2	yes	—
143	C₂×#10625336	C₂³	1	2	yes	—
144	C₂×#10625329	—	2	4	no	—
145	C₂×#10625329	—	2	4	no	—
146	C₂×#10625329	C₂³	1	1	yes	characteristic
147	C₂×#10625329	C₂³	1	1	yes	characteristic
148	C₂×#10625329	C₂³	1	1	yes	characteristic
149	C₂×#10625329	C₂³	1	2	yes	—
150	C₂×#10625329	C₂³	1	2	yes	—
151	C₂×#10625329	C₂³	1	1	yes	characteristic
152	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
153	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
154	#13094024	C₂³	1	1	yes	characteristic
155	#13094024	C₂³	1	1	yes	characteristic
156	#13094019	—	2	1	no	—
157	#13094019	—	2	1	no	—
158	#13094017	—	2	1	no	—
159	#13094017	—	2	1	no	—
160	#13094017	—	2	1	no	—
161	#13094017	—	2	1	no	—
162	#13094016	C₂³	1	1	yes	characteristic
163	#13094016	C₂³	1	1	yes	characteristic
164	#13094015	—	2	1	no	—
165	#13094014	—	2	1	no	—
166	#13094014	—	2	1	no	—
167	#13094011	—	2	1	no	—
168	#13094010	—	2	1	no	—
169	#13094010	—	2	1	no	—
170	#13094008	—	2	1	no	—
171	#13094008	—	2	1	no	—
172	#13094007	—	2	1	no	—
173	#13094007	—	2	1	no	—
174	#13094006	—	2	1	no	—
175	#13094006	—	2	1	no	—
176	#13094005	—	2	1	no	—
177	#13094005	—	2	1	no	—
178	#13094004	—	2	1	no	—
179	#13094003	—	2	1	no	—
180	#13094003	—	2	1	no	—
181	#13094003	C₂³	1	1	yes	characteristic
182	#13094003	C₂³	1	1	yes	characteristic
183	#13094003	C₂³	1	1	yes	characteristic
184	#13094003	C₂³	1	1	yes	characteristic
185	#13094001	—	2	1	no	—
186	#13094001	—	2	1	no	—
187	#13093998	C₂³	1	1	yes	characteristic
188	#13093998	C₂³	1	1	yes	characteristic
189	#13093998	C₂³	1	1	yes	characteristic
190	#13093998	C₂³	1	1	yes	characteristic
191	#13093996	—	2	1	no	—
192	#13093996	—	2	1	no	—
193	#13093995	—	2	1	no	—
194	#13093993	—	2	1	no	—
195	#13093993	—	2	1	no	—
196	C₄×Dic₉₄	—	2	1	no	—
197	C₄×Dic₉₄	—	2	1	no	—
198	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
199	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
200	#13093989	—	2	1	no	—
201	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
202	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
203	D₄×Dic₄₇	—	2	1	no	—
204	C₄×C₂²⋊D₄₇	—	2	1	no	—
205	C₄×C₂²⋊D₄₇	—	2	1	no	—
206	C₄×C₂²⋊D₄₇	—	2	1	no	—
207	C₄×C₂²⋊D₄₇	—	2	1	no	—
208	C₄×C₂²⋊D₄₇	—	2	1	no	—
209	C₄×C₂²⋊D₄₇	—	2	1	no	—
210	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
211	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
212	#13093983	—	2	1	no	—
213	#13093983	—	2	1	no	—
214	#13093983	—	2	1	no	—
215	#13093983	—	2	1	no	—
216	#13093983	C₂³	1	1	yes	characteristic
217	#13093983	C₂³	1	1	yes	characteristic
218	#13093983	C₂³	1	1	yes	characteristic
219	#13093983	C₂³	1	1	yes	characteristic
220	#13093983	C₂³	1	1	yes	characteristic
221	#13093983	C₂³	1	1	yes	characteristic
222	#13093983	C₂³	1	1	yes	characteristic
223	#13093982	—	2	1	no	—
224	#13093981	—	2	1	no	—
225	#13093980	—	2	1	no	—
226	#13093980	—	2	1	no	—
227	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
232	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
233	C₂×C₄×Dic₄₇	—	2	1	no	—
234	C₂×C₄×Dic₄₇	—	2	1	no	—
235	C₄²×D₄₇	—	2	1	no	—
236	#13093957	C₂³	1	2	yes	—
237	#13093957	C₂³	1	2	yes	—
238	#13093957	C₂³	1	2	yes	—
239	#13093957	C₂³	1	2	yes	—
240	#13093957	C₂³	1	2	yes	—
241	#13093957	C₂³	1	2	yes	—
242	#13093957	C₂³	1	2	yes	—
243	#13093957	C₂³	1	2	yes	—
244	#13093957	C₂³	1	2	yes	—
245	#13093955	C₂³	1	2	yes	—
246	#13093955	C₂³	1	2	yes	—
247	#13093955	C₂³	1	2	yes	—
248	#13093955	C₂³	1	2	yes	—
249	#13093955	C₂³	1	2	yes	—
250	#13093955	C₂³	1	2	yes	—
251	#13093955	C₂³	1	2	yes	—
252	#13093955	C₂³	1	2	yes	—
253	#13093955	C₂³	1	2	yes	—
254	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
255	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
256	#13093948	C₂³	1	2	yes	—
257	#13093948	C₂³	1	2	yes	—
258	#13093948	C₂³	1	2	yes	—
259	#13093948	C₂³	1	2	yes	—
260	#13093948	C₂³	1	2	yes	—
261	#13093948	C₂³	1	2	yes	—
262	#13093947	C₂³	1	2	yes	—
263	#13093947	C₂³	1	2	yes	—
264	#13093947	C₂³	1	2	yes	—
265	#13093944	C₂³	1	2	yes	—
266	#13093944	C₂³	1	2	yes	—
267	#13093944	C₂³	1	2	yes	—
268	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
269	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
271	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
272	#13093935	C₂³	1	2	yes	—
273	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
274	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
275	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
276	C₂³×C₄×C₄₇	—	2	1	no	—
277	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
278	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
279	#126×C₄₇	—	2	2	no	—
280	#126×C₄₇	—	2	2	no	—
281	#126×C₄₇	—	2	2	no	—
282	#126×C₄₇	—	2	2	no	—
283	#125×C₄₇	—	2	2	no	—
284	#125×C₄₇	—	2	2	no	—
285	#125×C₄₇	—	2	2	no	—
286	#125×C₄₇	—	2	2	no	—
287	#125×C₄₇	—	2	1	no	—
288	#125×C₄₇	—	2	1	no	—
289	#125×C₄₇	C₂³	1	2	yes	—
290	#125×C₄₇	C₂³	1	2	yes	—
291	#123×C₄₇	—	2	2	no	—
292	#123×C₄₇	—	2	2	no	—
293	#123×C₄₇	—	2	2	no	—
294	#123×C₄₇	—	2	2	no	—
295	C₂²⋊Q₈×C₄₇	—	2	1	no	—
296	C₂²⋊Q₈×C₄₇	—	2	1	no	—
297	C₂²⋊Q₈×C₄₇	—	2	1	no	—
298	C₂²⋊Q₈×C₄₇	—	2	1	no	—
299	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
300	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
301	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
302	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
303	C₄×Q₈×C₄₇	—	2	1	no	—
304	C₄×Q₈×C₄₇	—	2	1	no	—
305	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
306	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
307	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
308	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
309	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
310	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
311	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
312	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
314	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
315	#117×C₄₇	—	2	1	no	—
316	#117×C₄₇	—	2	1	no	—
317	#117×C₄₇	—	2	2	no	—
318	#117×C₄₇	—	2	2	no	—
319	#117×C₄₇	—	2	2	no	—
320	#117×C₄₇	—	2	2	no	—
321	#117×C₄₇	C₂³	1	2	yes	—
322	#117×C₄₇	C₂³	1	2	yes	—
323	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
324	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
325	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
326	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
327	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
328	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
329	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
330	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
331	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
338	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
339	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
340	C₂×C₂²⋊C₄×C₄₇	D₄	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₇	D₄	1	1	yes	characteristic
342	C₂×C₄²×C₄₇	—	2	1	no	—
343	C₂×C₄²×C₄₇	—	2	1	no	—
344	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
345	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
346	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
347	C₂×Q₈×C₄₇	—	2	1	no	—
348	C₂×Q₈×C₄₇	—	2	2	no	—
349	C₂×Q₈×C₄₇	—	2	2	no	—
350	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
351	C₂×D₄×C₄₇	—	4	2	no	—
352	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
353	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
354	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
355	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₄₇	—	2	2	no	—
357	C₂²×C₄×C₄₇	—	2	2	no	—
358	C₂²×C₄×C₄₇	—	2	2	no	—
359	C₂²×C₄×C₄₇	—	2	2	no	—
360	C₂²×C₄×C₄₇	—	2	1	no	—
361	C₂²×C₄×C₄₇	—	2	1	no	—
362	C₂²×C₄×C₄₇	—	2	1	no	—
363	C₂²×C₄×C₄₇	—	2	1	no	—
364	C₂²×C₄×C₄₇	—	2	2	no	—
365	C₂²×C₄×C₄₇	—	2	2	no	—
366	C₂²×C₄×C₄₇	—	4	4	no	—
367	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
368	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
369	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
371	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
373	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
375	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂×C₂²⋊D₄₇	—	2	1	no	—
381	C₂×C₂²⋊D₄₇	—	2	1	no	—
382	C₂×C₂²⋊D₄₇	—	2	1	no	—
383	C₂×C₂²⋊D₄₇	—	2	1	no	—
384	C₂×C₂²⋊D₄₇	—	2	1	no	—
385	C₂²×Dic₄₇	—	2	1	no	—
386	C₂²×Dic₄₇	—	2	1	no	—
387	C₂²×Dic₄₇	—	2	1	no	—
388	C₂²×Dic₄₇	—	2	1	no	—
389	#10625352	—	4	4	no	—
390	#10625350	—	2	2	no	—
391	#10625350	—	2	2	no	—
392	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×D₄₇	—	2	1	no	—
394	C₂×C₄×D₄₇	—	2	1	no	—
395	C₂×C₄×D₄₇	—	2	1	no	—
396	C₂×Dic₉₄	—	2	1	no	—
397	C₂×Dic₉₄	—	2	1	no	—
398	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
399	C₄⋊C₄×C₄₇	—	2	1	no	—
400	C₄⋊C₄×C₄₇	—	2	1	no	—
401	C₄⋊C₄×C₄₇	—	2	2	no	—
402	C₄⋊C₄×C₄₇	—	2	2	no	—
403	C₄⋊C₄×C₄₇	—	2	2	no	—
404	C₄⋊C₄×C₄₇	—	2	2	no	—
405	C₄⋊C₄×C₄₇	—	2	2	no	—
406	C₄⋊C₄×C₄₇	—	2	2	no	—
407	C₄⋊C₄×C₄₇	—	2	2	no	—
408	C₄⋊C₄×C₄₇	—	2	2	no	—
409	C₄⋊C₄×C₄₇	—	2	2	no	—
410	C₄⋊C₄×C₄₇	—	2	2	no	—
411	C₄⋊C₄×C₄₇	—	2	2	no	—
412	C₄⋊C₄×C₄₇	—	2	2	no	—
413	C₄⋊C₄×C₄₇	—	2	1	no	—
414	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
415	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
416	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
417	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
418	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
419	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
420	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
421	C₂²⋊C₄×C₄₇	—	2	2	no	—
422	C₂²⋊C₄×C₄₇	—	2	2	no	—
423	C₂²⋊C₄×C₄₇	—	2	2	no	—
424	C₂²⋊C₄×C₄₇	—	2	2	no	—
425	C₂²⋊C₄×C₄₇	—	2	2	no	—
426	C₂²⋊C₄×C₄₇	—	2	2	no	—
427	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
428	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
429	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
430	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
431	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
432	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
433	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
434	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
435	C₄²×C₄₇	—	2	2	no	—
436	C₄²×C₄₇	—	2	2	no	—
437	C₄²×C₄₇	—	2	2	no	—
438	C₄²×C₄₇	—	2	2	no	—
439	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
441	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
442	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
443	C₂²⋊Dic₄₇	—	2	1	no	—
444	C₂²⋊Dic₄₇	—	2	1	no	—
445	C₂²⋊Dic₄₇	—	2	1	no	—
446	C₂²⋊Dic₄₇	—	2	1	no	—
447	C₂²⋊Dic₄₇	—	2	1	no	—
448	C₂²⋊Dic₄₇	—	2	1	no	—
449	C₂²⋊Dic₄₇	—	2	1	no	—
450	C₂²⋊Dic₄₇	—	2	1	no	—
451	C₂²⋊Dic₄₇	—	2	1	no	—
452	C₂²⋊Dic₄₇	—	2	1	no	—
453	C₂²⋊Dic₄₇	—	2	1	no	—
454	#10625337	—	2	4	no	—
455	#10625336	—	2	4	no	—
456	(C₂×D₄₇)⋊C₄	—	2	1	no	—
457	(C₂×D₄₇)⋊C₄	—	2	1	no	—
458	(C₂×D₄₇)⋊C₄	—	2	1	no	—
459	(C₂×D₄₇)⋊C₄	—	2	1	no	—
460	(C₂×D₄₇)⋊C₄	—	2	1	no	—
461	(C₂×D₄₇)⋊C₄	—	2	1	no	—
462	C₄⋊Dic₄₇	—	2	1	no	—
463	C₄⋊Dic₄₇	—	2	1	no	—
464	C₄⋊Dic₄₇	—	2	1	no	—
465	C₄⋊Dic₄₇	—	2	1	no	—
466	C₄⋊Dic₄₇	—	2	1	no	—
467	C₄⋊Dic₄₇	—	2	1	no	—
468	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
469	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
470	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
471	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
472	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
473	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
474	Dic₄₇⋊C₄	—	2	1	no	—
475	Dic₄₇⋊C₄	—	2	1	no	—
476	Dic₄₇⋊C₄	—	2	1	no	—
477	Dic₄₇⋊C₄	—	2	1	no	—
478	Dic₄₇⋊C₄	—	2	1	no	—
479	Dic₄₇⋊C₄	—	2	1	no	—
480	Dic₄₇⋊C₄	—	2	1	no	—
481	Dic₄₇⋊C₄	—	2	1	no	—
482	Dic₄₇⋊C₄	—	2	1	no	—
483	Dic₄₇⋊C₄	—	2	1	no	—
484	C₄×Dic₄₇	—	2	1	no	—
485	C₄×Dic₄₇	—	2	1	no	—
486	C₄×Dic₄₇	—	2	1	no	—
487	C₄×Dic₄₇	—	2	1	no	—
488	C₄×Dic₄₇	—	2	1	no	—
489	C₄×Dic₄₇	—	2	1	no	—
490	C₄×Dic₄₇	—	2	1	no	—
491	C₄×Dic₄₇	—	2	1	no	—
492	C₄×Dic₄₇	—	2	1	no	—
493	#10625329	—	2	2	no	—
494	#10625329	—	2	2	no	—
495	#10625329	—	2	2	no	—
496	#10625329	—	2	4	no	—
497	#10625329	—	2	4	no	—
498	#10625329	#41	1	4	yes	complemented
499	C₂×C₄₇⋊C₈	—	2	4	no	—
500	C₂×C₄₇⋊C₈	—	2	4	no	—
501	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
502	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
503	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
504	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
505	C₂³×C₄₇	—	2	2	no	—
506	C₂³×C₄₇	—	2	2	no	—
507	C₂³×C₄₇	—	2	2	no	—
508	C₂³×C₄₇	—	4	1	no	—
509	C₂³×C₄₇	—	4	1	no	—
510	C₂³×C₄₇	—	4	1	no	—
511	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
512	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
513	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
514	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
515	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
516	C₂²×D₄₇	—	2	1	no	—
517	Q₈×C₄₇	—	2	2	no	—
518	Q₈×C₄₇	—	2	2	no	—
519	Q₈×C₄₇	—	4	2	no	—
520	D₄×C₄₇	—	2	2	no	—
521	D₄×C₄₇	—	2	2	no	—
522	D₄×C₄₇	—	4	1	no	—
523	D₄×C₄₇	—	4	1	no	—
524	C₂×C₄×C₄₇	—	2	2	no	—
525	C₂×C₄×C₄₇	—	2	2	no	—
526	C₂×C₄×C₄₇	—	2	2	no	—
527	C₂×C₄×C₄₇	—	2	2	no	—
528	C₂×C₄×C₄₇	—	2	2	no	—
529	C₂×C₄×C₄₇	—	2	2	no	—
530	C₂×C₄×C₄₇	—	2	1	no	—
531	C₂×C₄×C₄₇	—	2	1	no	—
532	C₂×C₄×C₄₇	—	2	1	no	—
533	C₂×C₄×C₄₇	—	2	1	no	—
534	C₂×C₄×C₄₇	—	2	1	no	—
535	C₂×C₄×C₄₇	—	2	1	no	—
536	C₂×C₄×C₄₇	—	2	1	no	—
537	C₂×C₄×C₄₇	—	2	1	no	—
538	C₂×C₄×C₄₇	—	2	2	no	—
539	C₂×C₄×C₄₇	—	2	2	no	—
540	C₂×C₄×C₄₇	—	2	2	no	—
541	C₂×C₄×C₄₇	—	2	2	no	—
542	C₂×C₄×C₄₇	—	4	1	no	—
543	C₂×C₄×C₄₇	—	4	1	no	—
544	C₂×C₄×C₄₇	—	4	2	no	—
545	C₂×C₄×C₄₇	—	4	2	no	—
546	C₂×C₄×C₄₇	—	4	2	no	—
547	C₂×C₄×C₄₇	—	4	4	no	—
548	C₂×C₄×C₄₇	—	4	2	no	—
549	C₂×C₄×C₄₇	—	4	4	no	—
550	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
556	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
557	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
559	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
560	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
561	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
562	C₂²⋊D₄₇	—	4	2	no	—
563	C₂²⋊D₄₇	—	4	2	no	—
564	C₂²⋊D₄₇	—	4	2	no	—
565	C₂²⋊D₄₇	—	8	1	no	—
566	C₂²⋊D₄₇	—	8	1	no	—
567	C₂×Dic₄₇	—	2	1	no	—
568	C₂×Dic₄₇	—	2	1	no	—
569	C₂×Dic₄₇	—	2	1	no	—
570	C₂×Dic₄₇	—	2	1	no	—
571	C₂×Dic₄₇	—	2	1	no	—
572	C₂×Dic₄₇	—	2	1	no	—
573	C₂×Dic₄₇	—	2	1	no	—
574	C₂×Dic₄₇	—	4	2	no	—
575	C₂×Dic₄₇	—	4	2	no	—
576	C₂×Dic₄₇	—	8	1	no	—
577	C₂×Dic₄₇	—	8	1	no	—
578	D₁₈₈	—	2	1	no	—
579	D₁₈₈	—	2	1	no	—
580	C₄×D₄₇	—	4	2	no	—
581	C₄×D₄₇	—	4	2	no	—
582	C₄×D₄₇	—	8	1	no	—
583	Dic₉₄	—	2	1	no	—
584	Dic₉₄	—	2	1	no	—
585	Dic₉₄	—	4	2	no	—
586	Dic₉₄	—	8	1	no	—
587	C₄₇⋊C₈	—	2	2	no	—
588	C₄₇⋊C₈	—	2	2	no	—
589	C₄₇⋊C₈	—	2	2	no	—
590	C₄₇⋊C₈	C₂×#41	1	4	yes	—
591	#61253	—	47	1	no	maximal, Sylow
592	C₂²×C₄₇	—	2	1	no	—
593	C₂²×C₄₇	—	2	1	no	—
594	C₂²×C₄₇	—	2	1	no	—
595	C₂²×C₄₇	—	2	1	no	—
596	C₂²×C₄₇	—	2	1	no	—
597	C₂²×C₄₇	—	2	1	no	—
598	C₂²×C₄₇	—	2	1	no	—
599	C₂²×C₄₇	—	2	1	no	—
600	C₂²×C₄₇	—	2	1	no	—
601	C₂²×C₄₇	—	2	1	no	—
602	C₂²×C₄₇	—	2	1	no	—
603	C₂²×C₄₇	—	2	1	no	—
604	C₂²×C₄₇	—	2	1	no	—
605	C₂²×C₄₇	—	4	4	no	—
606	C₂²×C₄₇	—	8	2	no	—
607	C₂²×C₄₇	#547	1	2	yes	—
608	C₂²×C₄₇	#575	1	2	yes	—
609	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
610	C₂×D₄₇	—	4	1	no	—
611	C₂×D₄₇	—	4	1	no	—
612	C₂×D₄₇	—	4	1	no	—
613	C₄×C₄₇	—	2	1	no	—
614	C₄×C₄₇	—	2	1	no	—
615	C₄×C₄₇	—	2	1	no	—
616	C₄×C₄₇	—	2	1	no	—
617	C₄×C₄₇	—	2	1	no	—
618	C₄×C₄₇	—	2	1	no	—
619	C₄×C₄₇	—	2	1	no	—
620	C₄×C₄₇	—	2	1	no	—
621	C₄×C₄₇	—	4	2	no	—
622	C₄×C₄₇	—	4	2	no	—
623	C₄×C₄₇	—	4	2	no	—
624	C₄×C₄₇	—	4	2	no	—
625	C₄×C₄₇	#547	1	2	yes	—
626	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
627	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
628	Dic₄₇	—	4	1	no	—
629	Dic₄₇	—	4	1	no	—
630	Dic₄₇	—	4	1	no	—
631	Dic₄₇	—	4	1	no	—
632	Dic₄₇	—	4	1	no	—
633	Dic₄₇	—	4	1	no	—
634	Dic₄₇	—	4	1	no	—
635	#3475	—	47	1	no	—
636	C₂×#552	D₄₇	1	1	yes	characteristic, complemented
637	#3352	—	47	2	no	—
638	#3351	—	47	2	no	—
639	#3349	—	47	2	no	—
640	#3348	—	47	2	no	—
641	#3344	—	47	2	no	—
642	#3343	—	47	2	no	—
643	#3337	—	47	2	no	—
644	#3336	—	47	2	no	—
645	#3166	—	47	1	no	—
646	#3095	—	47	1	no	—
647	#3095	—	47	1	no	—
648	#3093	—	47	1	no	—
649	#3092	—	47	1	no	—
650	#3080	—	47	1	no	—
651	#3078	—	47	1	no	—
652	#3056	—	47	1	no	—
653	#3056	—	47	1	no	—
654	C₄×#137	—	47	1	no	—
655	D₄×M₁₆	—	47	1	no	—
656	#2911	—	47	1	no	—
657	C₂×#428	—	47	1	no	—
658	C₂×C₄₇	—	2	2	no	—
659	C₂×C₄₇	—	2	2	no	—
660	C₂×C₄₇	—	4	1	no	—
661	C₂×C₄₇	—	4	1	no	—
662	C₂×C₄₇	—	4	1	no	—
663	C₂×C₄₇	C₂×#547	1	1	yes	characteristic
664	C₂×C₄₇	C₂×#575	1	1	yes	characteristic
665	C₂×C₄₇	#3586	1	1	yes	characteristic
666	D₄₇	—	8	1	no	—
667	C₂×#137	—	47	1	no	—
668	C₂²×M₁₆	—	47	1	no	—
669	C₂²×M₁₆	—	47	1	no	—
670	#556	—	47	1	no	—
671	#555	—	47	1	no	—
672	#554	—	47	1	no	—
673	#553	—	47	1	no	—
674	#553	—	47	1	no	—
675	#552	—	2	1	no	—
676	#552	—	2	1	no	—
677	#552	—	2	1	no	—
678	#552	—	2	1	no	—
679	#552	—	47	1	no	—
680	#552	—	47	1	no	—
681	#552	—	94	1	no	—
682	#552	C₂×D₄₇	1	2	yes	—
683	#552	C₂×D₄₇	1	2	yes	—
684	#552	C₂×D₄₇	1	2	yes	—
685	#552	C₂×D₄₇	1	2	yes	—
686	#551	—	94	1	no	—
687	#551	—	94	1	no	—
688	#547	—	47	1	no	—
689	#546	—	94	1	no	—
690	#533	—	47	1	no	—
691	#529	—	94	1	no	—
692	#529	—	94	1	no	—
693	#529	—	94	1	no	—
694	C₂×#126	—	2	1	no	—
695	C₂×#125	—	2	1	no	—
696	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
697	#525	—	47	1	no	—
698	#525	—	47	1	no	—
699	C₂×#123	—	2	1	no	—
700	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
701	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
702	C₄×#41	—	47	1	no	—
703	C₄×#41	—	94	1	no	—
704	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
705	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
706	C₂×#117	—	2	1	no	—
707	C₂×#117	—	47	1	no	—
708	C₂×#117	—	47	1	no	—
709	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
710	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
711	#501	—	47	2	no	—
712	#501	—	47	2	no	—
713	#499	—	47	2	no	—
714	#499	—	47	2	no	—
715	#485	—	47	2	no	—
716	#485	—	47	2	no	—
717	#485	—	47	2	no	—
718	#485	—	47	2	no	—
719	#485	—	47	2	no	—
720	#485	—	47	2	no	—
721	#484	—	47	2	no	—
722	#484	—	47	2	no	—
723	#484	—	47	2	no	—
724	#483	—	47	2	no	—
725	#483	—	47	2	no	—
726	#483	—	47	2	no	—
727	#482	—	47	2	no	—
728	#482	—	47	2	no	—
729	#481	—	47	2	no	—
730	#480	—	47	2	no	—
731	#479	—	47	2	no	—
732	#479	—	47	2	no	—
733	#479	—	47	2	no	—
734	#479	—	47	2	no	—
735	#478	—	47	2	no	—
736	#478	—	47	2	no	—
737	#477	—	47	2	no	—
738	#475	—	47	2	no	—
739	#470	—	47	2	no	—
740	#470	—	47	2	no	—
741	#468	—	47	2	no	—
742	#468	—	47	2	no	—
743	#467	—	47	2	no	—
744	#467	—	47	2	no	—
745	#465	—	47	2	no	—
746	#465	—	47	2	no	—
747	#441	—	47	2	no	—
748	#440	—	47	2	no	—
749	C₄×Q₁₆	—	47	2	no	—
750	C₄×SD₁₆	—	47	2	no	—
751	#436	—	47	2	no	—
752	#435	—	47	2	no	—
753	#435	—	47	2	no	—
754	C₈×D₄	—	47	2	no	—
755	#428	—	47	2	no	—
756	#428	—	47	2	no	—
757	#428	—	47	1	no	—
758	#428	—	47	1	no	—
759	#428	—	47	1	no	—
760	#428	—	47	1	no	—
761	#428	—	47	1	no	—
762	#428	—	47	2	no	—
763	#428	—	47	1	no	—
764	#428	—	47	2	no	—
765	#428	—	47	1	no	—
766	#428	—	47	1	no	—
767	#428	—	47	1	no	—
768	#427	—	47	2	no	—
769	#427	—	47	2	no	—
770	C₂×#107	—	47	2	no	—
771	C₂×#106	—	47	2	no	—
772	#423	—	47	1	no	—
773	#419	—	47	1	no	—
774	#419	—	47	1	no	—
775	#419	—	47	1	no	—
776	#417	—	47	1	no	—
777	#417	—	47	1	no	—
778	#417	—	47	1	no	—
779	#407	—	47	1	no	—
780	#407	—	47	1	no	—
781	C₄×M₁₆	—	47	1	no	—
782	C₄₇	#61253	1	1	yes	characteristic, complemented, Sylow
783	C₂×#41	—	47	1	no	—
784	C₂×#41	—	94	1	no	—
785	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
786	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
787	C₂³×C₄	—	2	1	no	—
788	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
789	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
790	#137	—	94	4	no	—
791	C₂×Q₁₆	—	47	2	no	—
792	C₂×SD₁₆	—	47	2	no	—
793	C₂×M₁₆	—	47	1	no	—
794	C₂×M₁₆	—	47	1	no	—
795	C₂×M₁₆	—	47	1	no	—
796	C₂×M₁₆	—	47	2	no	—
797	C₂×M₁₆	—	47	2	no	—
798	C₂×M₁₆	—	47	1	no	—
799	C₂×M₁₆	—	94	4	no	—
800	C₂×M₁₆	—	94	4	no	—
801	C₂²×C₈	—	47	2	no	—
802	C₂²×C₈	—	47	2	no	—
803	C₄⋊Q₈	—	47	1	no	—
804	C₄⋊Q₈	—	47	1	no	—
805	#126	—	2	2	no	—
806	#126	—	2	2	no	—
807	#126	—	2	2	no	—
808	#126	—	2	2	no	—
809	#126	—	94	1	no	—
810	#126	—	94	1	no	—
811	#126	—	94	1	no	—
812	#126	—	94	1	no	—
813	#126	—	94	1	no	—
814	#126	—	94	1	no	—
815	#125	—	2	2	no	—
816	#125	—	2	2	no	—
817	#125	—	2	2	no	—
818	#125	—	2	2	no	—
819	#125	—	2	1	no	—
820	#125	—	2	1	no	—
821	#125	—	47	1	no	—
822	#125	—	47	1	no	—
823	#125	—	94	1	no	—
824	#125	—	94	1	no	—
825	#125	—	94	1	no	—
826	#125	C₂²×D₄₇	1	2	yes	—
827	#125	C₂²×D₄₇	1	2	yes	—
828	#124	—	94	1	no	—
829	#124	—	94	1	no	—
830	#124	—	94	1	no	—
831	#123	—	2	2	no	—
832	#123	—	2	2	no	—
833	#123	—	2	2	no	—
834	#123	—	2	2	no	—
835	#123	—	94	1	no	—
836	#123	—	94	1	no	—
837	#123	—	94	1	no	—
838	#123	—	94	1	no	—
839	#123	—	94	1	no	—
840	#123	—	94	1	no	—
841	#123	—	94	1	no	—
842	#123	—	94	1	no	—
843	C₂²⋊Q₈	—	2	1	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	47	1	no	—
848	C₂²⋊Q₈	—	47	1	no	—
849	C₂²⋊Q₈	—	47	1	no	—
850	C₂²⋊Q₈	—	47	1	no	—
851	C₂²⋊Q₈	—	94	1	no	—
852	C₂²⋊Q₈	—	94	1	no	—
853	C₂²⋊Q₈	—	94	1	no	—
854	C₂²⋊Q₈	—	94	1	no	—
855	C₂²⋊Q₈	—	94	1	no	—
856	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
857	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
858	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
859	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
860	#121	—	47	1	no	—
861	#121	—	47	1	no	—
862	#121	—	47	1	no	—
863	#121	—	47	1	no	—
864	#121	—	94	1	no	—
865	#121	—	94	1	no	—
866	#121	—	94	1	no	—
867	#120	—	94	1	no	—
868	#120	—	94	1	no	—
869	C₄×Q₈	—	2	1	no	—
870	C₄×Q₈	—	2	1	no	—
871	C₄×Q₈	—	47	1	no	—
872	C₄×Q₈	—	47	1	no	—
873	C₄×Q₈	—	94	1	no	—
874	C₄×Q₈	—	94	1	no	—
875	C₄×Q₈	—	94	1	no	—
876	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
877	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
878	C₄×D₄	—	47	1	no	—
879	C₄×D₄	—	47	1	no	—
880	C₄×D₄	—	94	1	no	—
881	C₄×D₄	—	94	1	no	—
882	C₄×D₄	—	94	1	no	—
883	C₄×D₄	—	94	1	no	—
884	C₄×D₄	—	94	1	no	—
885	C₄×D₄	—	94	1	no	—
886	C₄×D₄	—	94	1	no	—
887	C₄×D₄	—	94	1	no	—
888	C₄×D₄	—	94	1	no	—
889	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
890	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
891	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
892	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
893	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
894	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
895	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
896	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
897	#117	—	2	1	no	—
898	#117	—	2	1	no	—
899	#117	—	2	2	no	—
900	#117	—	2	2	no	—
901	#117	—	2	2	no	—
902	#117	—	2	2	no	—
903	#117	—	47	1	no	—
904	#117	—	47	1	no	—
905	#117	—	47	1	no	—
906	#117	—	47	1	no	—
907	#117	—	47	1	no	—
908	#117	—	47	1	no	—
909	#117	—	47	1	no	—
910	#117	—	94	1	no	—
911	#117	—	94	1	no	—
912	#117	—	94	1	no	—
913	#117	—	94	1	no	—
914	#117	—	94	1	no	—
915	#117	—	94	1	no	—
916	#117	—	94	1	no	—
917	#117	—	94	1	no	—
918	#117	C₂²×D₄₇	1	2	yes	—
919	#117	C₂²×D₄₇	1	2	yes	—
920	C₂×C₄⋊C₄	—	2	1	no	—
921	C₂×C₄⋊C₄	—	2	1	no	—
922	C₂×C₄⋊C₄	—	2	1	no	—
923	C₂×C₄⋊C₄	—	2	1	no	—
924	C₂×C₄⋊C₄	—	2	1	no	—
925	C₂×C₄⋊C₄	—	2	1	no	—
926	C₂×C₄⋊C₄	—	2	1	no	—
927	C₂×C₄⋊C₄	—	2	1	no	—
928	C₂×C₄⋊C₄	—	47	1	no	—
929	C₂×C₄⋊C₄	—	47	1	no	—
930	C₂×C₄⋊C₄	—	47	1	no	—
931	C₂×C₄⋊C₄	—	47	1	no	—
932	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
936	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
937	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	—	2	1	no	—
939	C₂×C₂²⋊C₄	—	2	1	no	—
940	C₂×C₂²⋊C₄	—	2	1	no	—
941	C₂×C₂²⋊C₄	—	94	1	no	—
942	C₂×C₂²⋊C₄	—	94	1	no	—
943	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
945	C₂×C₄²	—	2	1	no	—
946	C₂×C₄²	—	2	1	no	—
947	C₂×C₄²	—	94	1	no	—
948	C₂×C₄²	—	94	1	no	—
949	C₂×C₄²	—	94	1	no	—
950	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
951	#107	—	47	2	no	—
952	#107	—	47	2	no	—
953	#107	—	47	2	no	—
954	#107	—	47	2	no	—
955	#107	—	47	2	no	—
956	#107	—	47	2	no	—
957	#107	—	47	2	no	—
958	#107	—	47	2	no	—
959	#107	—	47	2	no	—
960	#106	—	47	2	no	—
961	#106	—	47	2	no	—
962	#106	—	47	2	no	—
963	#106	—	47	2	no	—
964	#106	—	47	2	no	—
965	#106	—	47	2	no	—
966	#106	—	47	2	no	—
967	#106	—	47	2	no	—
968	#106	—	47	2	no	—
969	C₄⋊C₈	—	47	2	no	—
970	C₄⋊C₈	—	47	2	no	—
971	#103	—	47	2	no	—
972	#103	—	47	2	no	—
973	#103	—	47	2	no	—
974	#103	—	47	2	no	—
975	#103	—	47	2	no	—
976	#103	—	47	2	no	—
977	#103	—	47	2	no	—
978	#103	—	47	2	no	—
979	#103	—	47	2	no	—
980	#102	—	47	2	no	—
981	#102	—	47	2	no	—
982	#102	—	47	2	no	—
983	C₂²⋊C₈	—	47	2	no	—
984	C₂²⋊C₈	—	47	2	no	—
985	C₂²⋊C₈	—	47	2	no	—
986	C₂²⋊C₈	—	47	2	no	—
987	#97	—	47	2	no	—
988	C₄×C₈	—	47	2	no	—
989	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
990	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
991	#41	—	94	2	no	—
992	#41	—	94	2	no	—
993	#41	—	188	4	no	—
994	C₂×Q₈	—	2	1	no	—
995	C₂×Q₈	—	2	2	no	—
996	C₂×Q₈	—	2	2	no	—
997	C₂×Q₈	—	47	1	no	—
998	C₂×Q₈	—	94	1	no	—
999	C₂×Q₈	—	94	1	no	—
1000	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1001	C₂×D₄	—	4	2	no	—
1002	C₂×D₄	—	47	1	no	—
1003	C₂×D₄	—	94	1	no	—
1004	C₂×D₄	—	94	1	no	—
1005	C₂×D₄	—	94	1	no	—
1006	C₂×D₄	—	94	1	no	—
1007	C₂×D₄	—	94	1	no	—
1008	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1009	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1010	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1011	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	2	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	4	4	no	—
1023	C₂²×C₄	—	94	1	no	—
1024	C₂²×C₄	—	94	1	no	—
1025	C₂²×C₄	—	94	1	no	—
1026	C₂²×C₄	—	94	1	no	—
1027	C₂²×C₄	—	94	1	no	—
1028	C₂²×C₄	—	94	1	no	—
1029	C₂²×C₄	—	94	1	no	—
1030	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1031	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1032	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1033	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1034	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1035	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1036	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1037	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1043	Q₁₆	—	94	4	no	—
1044	SD₁₆	—	94	4	no	—
1045	M₁₆	—	47	4	no	—
1046	M₁₆	—	94	4	no	—
1047	M₁₆	—	94	4	no	—
1048	M₁₆	—	94	2	no	—
1049	M₁₆	—	94	2	no	—
1050	M₁₆	—	94	2	no	—
1051	C₂×C₈	—	47	2	no	—
1052	C₂×C₈	—	47	2	no	—
1053	C₂×C₈	—	47	2	no	—
1054	C₂×C₈	—	47	2	no	—
1055	C₂×C₈	—	94	4	no	—
1056	C₂×C₈	—	94	4	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	2	2	no	—
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	47	1	no	—
1073	C₄⋊C₄	—	47	1	no	—
1074	C₄⋊C₄	—	47	1	no	—
1075	C₄⋊C₄	—	47	1	no	—
1076	C₄⋊C₄	—	47	1	no	—
1077	C₄⋊C₄	—	47	1	no	—
1078	C₄⋊C₄	—	94	1	no	—
1079	C₄⋊C₄	—	94	1	no	—
1080	C₄⋊C₄	—	94	1	no	—
1081	C₄⋊C₄	—	94	1	no	—
1082	C₄⋊C₄	—	94	1	no	—
1083	C₄⋊C₄	—	94	1	no	—
1084	C₄⋊C₄	—	94	1	no	—
1085	C₄⋊C₄	—	94	1	no	—
1086	C₄⋊C₄	—	94	1	no	—
1087	C₄⋊C₄	—	94	1	no	—
1088	C₄⋊C₄	—	94	1	no	—
1089	C₄⋊C₄	—	94	1	no	—
1090	C₄⋊C₄	—	94	1	no	—
1091	C₄⋊C₄	—	94	1	no	—
1092	C₄⋊C₄	—	94	1	no	—
1093	C₄⋊C₄	—	94	1	no	—
1094	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1095	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1096	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1097	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1098	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1099	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1100	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	94	1	no	—
1108	C₂²⋊C₄	—	94	1	no	—
1109	C₂²⋊C₄	—	94	1	no	—
1110	C₂²⋊C₄	—	94	1	no	—
1111	C₂²⋊C₄	—	94	1	no	—
1112	C₂²⋊C₄	—	94	1	no	—
1113	C₂²⋊C₄	—	94	1	no	—
1114	C₂²⋊C₄	—	94	1	no	—
1115	C₂²⋊C₄	—	94	1	no	—
1116	C₂²⋊C₄	—	94	1	no	—
1117	C₂²⋊C₄	—	94	1	no	—
1118	C₂²⋊C₄	—	94	1	no	—
1119	C₂²⋊C₄	—	94	1	no	—
1120	C₂²⋊C₄	—	94	1	no	—
1121	C₂²⋊C₄	—	94	1	no	—
1122	C₂²⋊C₄	—	94	1	no	—
1123	C₂²⋊C₄	—	94	1	no	—
1124	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1125	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1126	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1127	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1128	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1129	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1130	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1131	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1132	C₄²	—	2	2	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	2	2	no	—
1135	C₄²	—	2	2	no	—
1136	C₄²	—	94	1	no	—
1137	C₄²	—	94	1	no	—
1138	C₄²	—	94	1	no	—
1139	C₄²	—	94	1	no	—
1140	C₄²	—	94	1	no	—
1141	C₄²	—	94	1	no	—
1142	C₄²	—	94	1	no	—
1143	C₄²	—	94	1	no	—
1144	C₄²	—	94	1	no	—
1145	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1146	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1147	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1148	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	4	1	no	—
1153	C₂³	—	4	1	no	—
1154	C₂³	—	4	1	no	—
1155	C₂³	—	94	1	no	—
1156	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1157	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1158	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1159	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1160	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1161	Q₈	—	2	2	no	—
1162	Q₈	—	2	2	no	—
1163	Q₈	—	4	2	no	—
1164	Q₈	—	94	1	no	—
1165	Q₈	—	94	1	no	—
1166	Q₈	—	376	1	no	—
1167	Q₈	—	188	2	no	—
1168	D₄	—	2	2	no	—
1169	D₄	—	2	2	no	—
1170	D₄	—	4	1	no	—
1171	D₄	—	4	1	no	—
1172	D₄	—	94	1	no	—
1173	D₄	—	94	1	no	—
1174	D₄	—	376	1	no	—
1175	D₄	—	376	1	no	—
1176	D₄	—	188	2	no	—
1177	D₄	—	188	2	no	—
1178	D₄	—	188	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	4	1	no	—
1198	C₂×C₄	—	4	1	no	—
1199	C₂×C₄	—	4	2	no	—
1200	C₂×C₄	—	4	2	no	—
1201	C₂×C₄	—	4	2	no	—
1202	C₂×C₄	—	4	4	no	—
1203	C₂×C₄	—	4	2	no	—
1204	C₂×C₄	—	4	4	no	—
1205	C₂×C₄	—	94	1	no	—
1206	C₂×C₄	—	94	1	no	—
1207	C₂×C₄	—	94	1	no	—
1208	C₂×C₄	—	94	1	no	—
1209	C₂×C₄	—	94	1	no	—
1210	C₂×C₄	—	94	1	no	—
1211	C₂×C₄	—	94	1	no	—
1212	C₂×C₄	—	376	1	no	—
1213	C₂×C₄	—	376	1	no	—
1214	C₂×C₄	—	376	1	no	—
1215	C₂×C₄	—	188	2	no	—
1216	C₂×C₄	—	188	2	no	—
1217	C₂×C₄	—	188	2	no	—
1218	C₂×C₄	—	188	2	no	—
1219	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1220	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1221	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1222	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1223	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1224	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1225	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1226	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1227	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1228	C₂×C₄	#41×D₄₇	1	2	yes	—
1229	C₂×C₄	#13094071	1	2	yes	—
1230	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1231	C₈	—	47	4	no	—
1232	C₈	—	94	2	no	—
1233	C₈	—	94	2	no	—
1234	C₈	—	94	2	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	4	4	no	—
1249	C₂²	—	8	2	no	—
1250	C₂²	—	188	1	no	—
1251	C₂²	—	188	1	no	—
1252	C₂²	—	188	1	no	—
1253	C₂²	#15689772	1	2	yes	—
1254	C₂²	#15689921	1	2	yes	—
1255	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1256	C₄	—	2	1	no	—
1257	C₄	—	2	1	no	—
1258	C₄	—	2	1	no	—
1259	C₄	—	2	1	no	—
1260	C₄	—	2	1	no	—
1261	C₄	—	2	1	no	—
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	4	2	no	—
1265	C₄	—	4	2	no	—
1266	C₄	—	4	2	no	—
1267	C₄	—	4	2	no	—
1268	C₄	—	188	1	no	—
1269	C₄	—	188	1	no	—
1270	C₄	—	188	1	no	—
1271	C₄	—	188	1	no	—
1272	C₄	—	188	1	no	—
1273	C₄	—	188	1	no	—
1274	C₄	—	188	1	no	—
1275	C₄	#15689772	1	2	yes	—
1276	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1277	C₄	C₂×#13094071	1	1	yes	characteristic
1278	C₂	—	2	2	no	—
1279	C₂	—	2	2	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	4	1	no	—
1282	C₂	—	4	1	no	—
1283	C₂	—	376	1	no	—
1284	C₂	C₂×#15689772	1	1	yes	characteristic
1285	C₂	C₂×#15689921	1	1	yes	characteristic
1286	C₂	#20258175	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#552	C₂
socle	C₂²×C₄₇	C₂³×D₄
prime radical	#20256946	C₂
hypercenter	C₂×#552	D₄₇
hypocenter	C₄₇	#61253
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
2. #20255957	C₂	semidirect
3. #20255948	C₂	semidirect
4. #20255918	C₂	semidirect
5. #20255897	C₂	semidirect
6. #20255843	C₂	semidirect
7. #20255828	C₂	semidirect
8. #20255767	C₂	semidirect
9. #20255750	C₂	semidirect
10. #20253937	C₂	semidirect
11. #20253332	C₂	semidirect
12. #20253332	C₂	semidirect
13. #20253319	C₂	semidirect
14. #20253311	C₂	semidirect
15. #20253206	C₂	semidirect
16. #20253193	C₂	semidirect
17. #20253014	C₂	semidirect
18. #20253014	C₂	semidirect
19. C₄×#13094055	C₂	semidirect
20. D₄×#10625329	C₂	semidirect
21. #20251977	C₂	semidirect
22. C₂×#15689163	C₂	semidirect
23. C₂×C₄₇×#552	C₂	semidirect
49. #15689533	C₂²	semidirect
50. #15689533	C₂²	semidirect
51. #15689522	C₂²	semidirect
52. #15689522	C₂²	semidirect
53. #15689464	C₂²	semidirect
54. #15689464	C₂²	semidirect
55. #15689461	C₂²	semidirect
56. #15689461	C₂²	semidirect
57. #15689461	C₂²	semidirect
58. #15689461	C₂²	semidirect
59. #15689458	C₂²	semidirect
60. #15689456	C₂²	semidirect
61. #15689456	C₂²	semidirect
62. #15689453	C₂²	semidirect
63. #15689451	C₂²	semidirect
64. #15689451	C₂²	semidirect
65. #15689447	C₂²	semidirect
66. #15689447	C₂²	semidirect
67. #15689441	C₂²	semidirect
68. #15689436	C₂²	semidirect
69. #15689430	C₂²	semidirect
70. #15689430	C₂²	semidirect
71. #15689427	C₂²	semidirect
72. #15689427	C₂²	semidirect
73. #15689420	C₂²	semidirect
74. #15689420	C₂²	semidirect
75. #15689418	C₂²	semidirect
76. #15689408	C₂²	semidirect
77. #15689379	C₂²	semidirect
78. #15689379	C₂²	semidirect
79. #15689371	C₂²	semidirect
80. #15689371	C₂²	semidirect
81. #15689362	C₂²	semidirect
82. #15689362	C₂²	semidirect
83. #15689354	C₂²	semidirect
84. #15689354	C₂²	semidirect
85. #15689228	C₂²	semidirect
86. #15689221	C₂²	semidirect
87. C₄×#10625337	C₂²	semidirect
88. C₄×#10625336	C₂²	semidirect
93. #15689166	C₂²	semidirect
94. #15689166	C₂²	semidirect
104. #15689163	C₂²	semidirect
105. #15689163	C₂²	semidirect
106. #15689159	C₂²	semidirect
107. #15689159	C₂²	semidirect
108. C₂×#13093957	C₂²	semidirect
109. C₂×#13093955	C₂²	semidirect
498. #10625329	#41	semidirect
636. C₂×#552	D₄₇	semidirect
782. C₄₇	#61253	semidirect

Maximal subgroups

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

subgroup	index
#20256946	2
#20255957	2
#20255948	2
#20255918	2
#20255897	2
#20255843	2
#20255828	2
#20255767	2
#20255750	2
#20253937	2
#20253332	2
#20253319	2
#20253311	2
#20253206	2
#20253193	2
#20253014	2
C₄×#13094055	2
D₄×#10625329	2
#20251977	2
C₂×#15689163	2
C₂×C₄₇×#552	2
#61253	47