Subgroups — #27093604

Order 12032.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1270 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257142	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255514	C₂	1	2	yes	maximal, complemented
3	#20255499	C₂	1	2	yes	maximal, complemented
4	#20255424	C₂	1	2	yes	maximal, complemented
5	#20255409	C₂	1	2	yes	maximal, complemented
6	#20255327	C₂	1	2	yes	maximal, complemented
7	#20255275	C₂	1	2	yes	maximal, complemented
8	#20255223	C₂	1	2	yes	maximal, complemented
9	#20255212	C₂	1	2	yes	maximal, complemented
10	#20253742	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253373	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253324	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253250	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253081	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#15689350	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252905	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252665	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252648	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252227	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252083	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251914	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689119	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3488	C₂	1	1	yes	maximal, characteristic
24	C₂×#13094054	C₂²	1	1	yes	characteristic
25	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#10625335	C₂²	1	1	yes	characteristic, complemented
27	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
29	#15689843	C₂²	1	2	yes	complemented
30	#15689830	C₂²	1	2	yes	complemented
31	#15689813	C₂²	1	2	yes	complemented
32	#15689813	C₂²	1	2	yes	complemented
33	#15689810	—	2	2	no	—
34	#15689804	—	2	2	no	—
35	#15689751	C₂²	1	1	yes	characteristic, complemented
36	#15689740	—	2	1	no	—
37	#15689733	—	2	1	no	—
38	#15689694	C₂²	1	1	yes	characteristic, complemented
39	#15689675	—	2	1	no	—
40	#15689654	—	2	1	no	—
41	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
42	#15689606	C₂²	1	1	yes	characteristic, complemented
43	#15689600	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
45	#15689487	C₂²	1	2	yes	complemented
46	#15689482	C₂²	1	2	yes	complemented
47	#15689477	C₂²	1	2	yes	complemented
48	#15689469	C₂²	1	2	yes	complemented
49	#15689461	C₂²	1	2	yes	complemented
50	#15689451	C₂²	1	2	yes	complemented
51	#15689444	C₂²	1	2	yes	complemented
52	#15689444	C₂²	1	2	yes	complemented
53	#15689444	C₂²	1	2	yes	complemented
54	#15689439	C₂²	1	2	yes	complemented
55	#15689439	C₂²	1	2	yes	complemented
56	#15689434	C₂²	1	2	yes	complemented
57	#15689430	C₂²	1	2	yes	complemented
58	#15689423	C₂²	1	2	yes	complemented
59	#15689413	C₂²	1	2	yes	complemented
60	#15689408	C₂²	1	2	yes	complemented
61	#15689379	C₂²	1	2	yes	complemented
62	#15689367	C₂²	1	2	yes	complemented
63	#15689362	C₂²	1	2	yes	complemented
64	#15689350	C₂²	1	2	yes	complemented
65	#15689350	C₂²	1	2	yes	complemented
66	#15689350	C₂²	1	2	yes	complemented
67	#15689350	C₂²	1	2	yes	complemented
68	#15689350	C₂²	1	2	yes	complemented
69	#15689342	C₂²	1	2	yes	complemented
70	#15689342	C₂²	1	2	yes	complemented
71	#15689320	C₂²	1	2	yes	complemented
72	#15689320	C₂²	1	2	yes	complemented
73	#15689285	C₂²	1	2	yes	complemented
74	#15689285	C₂²	1	2	yes	complemented
75	#15689285	C₂²	1	2	yes	complemented
76	#15689285	C₂²	1	2	yes	complemented
77	#15689279	C₂²	1	2	yes	complemented
78	#15689274	C₂²	1	2	yes	complemented
79	#15689274	C₂²	1	2	yes	complemented
80	#15689274	C₂²	1	2	yes	complemented
81	#15689228	C₂²	1	2	yes	complemented
82	#15689223	C₂²	1	2	yes	complemented
83	C₄×#10625337	C₂²	1	2	yes	complemented
84	C₄×#10625335	C₂²	1	2	yes	complemented
85	#15689195	C₂²	1	2	yes	complemented
86	#15689195	C₂²	1	2	yes	complemented
87	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
88	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
89	#15689163	C₂²	1	1	yes	characteristic, complemented
90	#15689163	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13093955	C₂²	1	1	yes	characteristic, complemented
92	#15689150	C₂²	1	1	yes	characteristic, complemented
93	#15689128	C₂²	1	1	yes	characteristic, complemented
94	#15689128	C₂²	1	2	yes	complemented
95	#15689128	C₂²	1	1	yes	characteristic, complemented
96	#15689124	C₂²	1	1	yes	characteristic
97	#15689124	C₂²	1	2	yes	complemented
98	#15689124	C₂²	1	1	yes	characteristic, complemented
99	#15689119	C₂²	1	1	yes	characteristic
100	#15689119	C₂²	1	1	yes	characteristic
101	#15689119	C₂²	1	2	yes	complemented
102	#15689119	C₂²	1	1	yes	characteristic, complemented
103	#15689119	C₂²	1	1	yes	characteristic, complemented
104	#15689119	C₂²	1	1	yes	characteristic, complemented
105	#15689119	C₂²	1	1	yes	characteristic, complemented
106	#15689119	C₂²	1	1	yes	characteristic, complemented
107	#15689119	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13093948	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13093948	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13093947	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13093945	C₂²	1	2	yes	complemented
113	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
115	#15689090	C₂²	1	1	yes	characteristic, complemented
116	#15689087	C₂²	1	1	yes	characteristic, complemented
117	#15689079	C₂²	1	1	yes	characteristic, complemented
118	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic
119	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
120	C₄₇×#550	C₂²	1	2	yes	—
121	C₄₇×#548	C₂²	1	2	yes	—
122	C₄₇×#546	—	2	2	no	—
123	C₄₇×#546	C₂²	1	2	yes	—
124	D₄²×C₄₇	—	2	2	no	—
125	D₄²×C₄₇	C₂²	1	2	yes	—
126	C₄₇×#537	—	2	1	no	—
127	C₄₇×#537	C₂²	1	1	yes	characteristic
128	C₄₇×#535	—	2	1	no	—
129	C₄₇×#535	C₂²	1	1	yes	characteristic
130	C₄₇×#525	—	2	1	no	—
131	C₄₇×#525	C₂²	1	1	yes	characteristic
132	C₂×#121×C₄₇	—	2	1	no	—
133	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
134	C₄₇×#520	C₂²	1	1	yes	characteristic
135	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
136	#13094054	—	2	4	no	—
137	#13094054	—	4	2	no	—
138	C₂×#10625337	C₂³	1	2	yes	—
139	C₂×#10625337	C₂³	1	2	yes	—
140	C₂×#10625335	—	4	2	no	—
141	C₂×#10625335	C₂³	1	2	yes	—
142	C₂×#10625335	C₂³	1	2	yes	—
143	C₂×#10625335	C₂³	1	2	yes	—
144	C₂×#10625335	C₂³	1	2	yes	—
145	#13094031	—	4	2	no	—
146	C₂×#10625329	C₂³	1	1	yes	characteristic
147	C₂×#10625329	C₂³	1	1	yes	characteristic
148	C₂×#10625329	C₂³	1	2	yes	—
149	C₂²×C₄₇⋊C₈	—	4	2	no	—
150	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
151	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
152	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
153	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
154	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
155	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
156	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
157	#13094024	C₂³	1	2	yes	—
158	#13094023	—	2	1	no	—
159	#13094022	—	2	1	no	—
160	#13094017	—	2	2	no	—
161	#13094017	—	2	2	no	—
162	#13094017	—	2	2	no	—
163	#13094017	—	2	2	no	—
164	#13094016	C₂³	1	2	yes	—
165	#13094015	—	2	1	no	—
166	#13094015	—	2	2	no	—
167	#13094014	—	2	2	no	—
168	#13094014	—	2	2	no	—
169	#13094011	—	2	2	no	—
170	#13094011	—	2	1	no	—
171	#13094005	—	2	2	no	—
172	#13094005	—	2	2	no	—
173	#13094005	—	2	2	no	—
174	#13094003	—	2	1	no	—
175	#13094003	—	2	1	no	—
176	#13094003	C₂³	1	2	yes	—
177	#13094003	C₂³	1	2	yes	—
178	#13094003	C₂³	1	2	yes	—
179	#13094003	C₂³	1	2	yes	—
180	#13094001	—	2	2	no	—
181	#13094001	—	2	2	no	—
182	#13094001	—	2	2	no	—
183	Q₈×Dic₄₇	—	2	1	no	—
184	C₄×Dic₉₄	C₂³	1	2	yes	—
185	C₄×Dic₉₄	C₂³	1	2	yes	—
186	#13093989	—	2	1	no	—
187	#13093989	—	2	1	no	—
188	#13093989	—	2	2	no	—
189	D₄×Dic₄₇	—	2	1	no	—
190	D₄×Dic₄₇	—	2	2	no	—
191	D₄×Dic₄₇	—	2	2	no	—
192	#13093983	—	2	1	no	—
193	#13093983	—	2	1	no	—
194	#13093983	C₂³	1	1	yes	characteristic
195	#13093983	C₂³	1	1	yes	characteristic
196	#13093983	C₂³	1	2	yes	—
197	#13093983	C₂³	1	1	yes	characteristic
198	#13093983	C₂³	1	1	yes	characteristic
199	#13093980	—	2	2	no	—
200	#13093980	—	2	2	no	—
201	#13093980	—	2	2	no	—
202	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
205	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
206	C₂×Dic₄₇⋊C₄	—	2	1	no	—
207	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
208	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
209	C₂×C₄×Dic₄₇	—	2	1	no	—
210	#13093957	C₂³	1	2	yes	—
211	#13093957	C₂³	1	2	yes	—
212	#13093955	C₂³	1	2	yes	—
213	#13093955	C₂³	1	2	yes	—
214	#13093955	C₂³	1	2	yes	—
215	#13093955	C₂³	1	2	yes	—
216	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
217	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
218	#13093948	C₂³	1	1	yes	characteristic
219	#13093948	C₂³	1	1	yes	characteristic
220	#13093948	C₂³	1	2	yes	—
221	#13093948	C₂³	1	1	yes	characteristic
222	#13093948	C₂³	1	1	yes	characteristic
223	#13093948	C₂³	1	2	yes	—
224	#13093948	C₂³	1	1	yes	characteristic
225	#13093948	C₂³	1	1	yes	characteristic
226	#13093948	C₂³	1	1	yes	characteristic
227	#13093948	C₂³	1	1	yes	characteristic
228	#13093947	C₂³	1	2	yes	—
229	#13093947	C₂³	1	2	yes	—
230	#13093945	C₂³	1	2	yes	—
231	#13093945	C₂³	1	2	yes	—
232	#13093945	C₂³	1	1	yes	characteristic
233	#13093945	C₂³	1	2	yes	—
234	#13093945	C₂³	1	2	yes	—
235	#13093945	C₂³	1	1	yes	characteristic
236	#13093945	C₂³	1	2	yes	—
237	#13093945	C₂³	1	1	yes	characteristic
238	#13093945	C₂³	1	1	yes	characteristic
239	#13093945	C₂³	1	2	yes	—
240	#13093945	C₂³	1	1	yes	characteristic
241	#13093945	C₂³	1	1	yes	characteristic
242	#13093945	C₂³	1	2	yes	—
243	#13093945	C₂³	1	2	yes	—
244	#13093945	C₂³	1	1	yes	characteristic
245	#13093945	C₂³	1	1	yes	characteristic
246	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
247	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
248	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
249	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
250	#13093935	C₂³	1	2	yes	—
251	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
252	H(5,𝔽₂)×C₄₇	—	2	4	no	—
253	H(5,𝔽₂)×C₄₇	—	4	2	no	—
254	C₂×#41×C₄₇	—	2	1	no	—
255	C₂×#41×C₄₇	—	2	1	no	—
256	C₂×#41×C₄₇	—	2	1	no	—
257	C₂×#41×C₄₇	—	2	4	no	—
258	C₂×#41×C₄₇	—	4	2	no	—
259	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
260	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
261	C₂×#41×C₄₇	C₂³	1	2	yes	—
262	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
263	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
264	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
265	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
266	C₂²×D₄×C₄₇	—	2	1	no	—
267	C₂²×D₄×C₄₇	—	2	1	no	—
268	C₂²×D₄×C₄₇	—	2	1	no	—
269	C₂²×D₄×C₄₇	—	2	2	no	—
270	C₂²×D₄×C₄₇	—	2	2	no	—
271	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
272	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
273	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
274	C₂³×C₄×C₄₇	—	2	1	no	—
275	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
276	#127×C₄₇	—	2	2	no	—
277	#127×C₄₇	C₂³	1	2	yes	—
278	#124×C₄₇	—	2	2	no	—
279	#124×C₄₇	C₂³	1	2	yes	—
280	#123×C₄₇	—	2	2	no	—
281	#123×C₄₇	D₄	1	2	yes	—
282	C₂²⋊Q₈×C₄₇	—	2	1	no	—
283	C₂²⋊Q₈×C₄₇	—	2	2	no	—
284	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
285	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
286	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
287	#121×C₄₇	—	2	1	no	—
288	#121×C₄₇	—	2	2	no	—
289	#121×C₄₇	—	2	2	no	—
290	#121×C₄₇	—	2	1	no	—
291	#121×C₄₇	—	2	1	no	—
292	#121×C₄₇	—	2	1	no	—
293	#121×C₄₇	—	2	1	no	—
294	#121×C₄₇	—	2	2	no	—
295	#121×C₄₇	—	2	2	no	—
296	#121×C₄₇	—	2	2	no	—
297	#121×C₄₇	—	2	2	no	—
298	#121×C₄₇	D₄	1	1	yes	characteristic
299	#121×C₄₇	D₄	1	1	yes	characteristic
300	#121×C₄₇	C₂³	1	2	yes	—
301	#121×C₄₇	C₂³	1	2	yes	—
302	#121×C₄₇	C₂³	1	2	yes	—
303	#120×C₄₇	—	2	2	no	—
304	#120×C₄₇	—	2	2	no	—
305	#120×C₄₇	—	2	2	no	—
306	#120×C₄₇	—	2	2	no	—
307	#120×C₄₇	D₄	1	2	yes	—
308	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
309	C₄×D₄×C₄₇	—	2	2	no	—
310	C₄×D₄×C₄₇	—	2	2	no	—
311	C₄×D₄×C₄₇	—	2	2	no	—
312	C₄×D₄×C₄₇	C₂³	1	2	yes	—
313	C₄×D₄×C₄₇	C₂³	1	2	yes	—
314	C₄×D₄×C₄₇	C₂³	1	2	yes	—
315	#117×C₄₇	—	2	1	no	—
316	#117×C₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
318	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
320	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
321	C₂⁴×C₄₇	—	2	1	no	—
322	C₂⁴×C₄₇	—	2	2	no	—
323	C₂⁴×C₄₇	—	2	1	no	—
324	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
325	#41×C₄₇	—	2	2	no	—
326	#41×C₄₇	—	2	2	no	—
327	#41×C₄₇	—	2	2	no	—
328	#41×C₄₇	—	2	2	no	—
329	#41×C₄₇	—	2	4	no	—
330	#41×C₄₇	—	2	2	no	—
331	#41×C₄₇	—	2	2	no	—
332	#41×C₄₇	—	2	2	no	—
333	#41×C₄₇	—	4	4	no	—
334	#41×C₄₇	—	4	1	no	—
335	#41×C₄₇	—	4	1	no	—
336	#41×C₄₇	—	4	2	no	—
337	#41×C₄₇	—	4	4	no	—
338	#41×C₄₇	—	4	4	no	—
339	#41×C₄₇	#41	1	4	yes	—
340	C₂×Q₈×C₄₇	—	2	1	no	—
341	C₂×Q₈×C₄₇	—	2	2	no	—
342	C₂×Q₈×C₄₇	—	4	1	no	—
343	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
344	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
345	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₄₇	—	2	1	no	—
347	C₂×D₄×C₄₇	—	2	2	no	—
348	C₂×D₄×C₄₇	—	2	4	no	—
349	C₂×D₄×C₄₇	—	2	2	no	—
350	C₂×D₄×C₄₇	—	2	1	no	—
351	C₂×D₄×C₄₇	—	2	1	no	—
352	C₂×D₄×C₄₇	—	2	2	no	—
353	C₂×D₄×C₄₇	—	2	1	no	—
354	C₂×D₄×C₄₇	—	2	2	no	—
355	C₂×D₄×C₄₇	—	2	2	no	—
356	C₂×D₄×C₄₇	—	2	1	no	—
357	C₂×D₄×C₄₇	—	2	2	no	—
358	C₂×D₄×C₄₇	—	2	1	no	—
359	C₂×D₄×C₄₇	—	2	2	no	—
360	C₂×D₄×C₄₇	—	2	2	no	—
361	C₂×D₄×C₄₇	—	2	2	no	—
362	C₂×D₄×C₄₇	—	2	2	no	—
363	C₂×D₄×C₄₇	—	4	1	no	—
364	C₂×D₄×C₄₇	—	4	2	no	—
365	C₂×D₄×C₄₇	—	4	4	no	—
366	C₂×D₄×C₄₇	—	4	8	no	—
367	C₂×D₄×C₄₇	—	4	4	no	—
368	C₂×D₄×C₄₇	—	8	4	no	—
369	C₂×D₄×C₄₇	—	8	2	no	—
370	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
371	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
372	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
373	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
374	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
375	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	—	2	1	no	—
378	C₂²×C₄×C₄₇	—	2	2	no	—
379	C₂²×C₄×C₄₇	—	2	2	no	—
380	C₂²×C₄×C₄₇	—	2	1	no	—
381	C₂²×C₄×C₄₇	—	2	1	no	—
382	C₂²×C₄×C₄₇	—	2	1	no	—
383	C₂²×C₄×C₄₇	—	2	1	no	—
384	C₂²×C₄×C₄₇	—	2	2	no	—
385	C₂²×C₄×C₄₇	—	2	1	no	—
386	C₂²×C₄×C₄₇	—	2	2	no	—
387	C₂²×C₄×C₄₇	—	4	4	no	—
388	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₄₇	—	2	1	no	—
396	C₂²×Dic₄₇	—	2	1	no	—
397	C₂²×Dic₄₇	—	2	1	no	—
398	C₂²×Dic₄₇	—	2	1	no	—
399	C₂²×Dic₄₇	—	2	2	no	—
400	C₂×Dic₉₄	—	2	2	no	—
401	C₂×Dic₉₄	—	2	2	no	—
402	C₂×Dic₉₄	—	2	1	no	—
403	C₂×Dic₉₄	—	2	2	no	—
404	C₂×Dic₉₄	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₄₇	—	2	1	no	—
406	C₄⋊C₄×C₄₇	—	2	2	no	—
407	C₄⋊C₄×C₄₇	—	2	2	no	—
408	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
409	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
410	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
411	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
412	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
413	C₂²⋊C₄×C₄₇	—	2	2	no	—
414	C₂²⋊C₄×C₄₇	—	2	2	no	—
415	C₂²⋊C₄×C₄₇	—	2	2	no	—
416	C₂²⋊C₄×C₄₇	—	2	2	no	—
417	C₂²⋊C₄×C₄₇	—	2	2	no	—
418	C₂²⋊C₄×C₄₇	—	2	2	no	—
419	C₂²⋊C₄×C₄₇	—	2	2	no	—
420	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
421	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
422	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
423	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
424	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
425	C₄²×C₄₇	—	2	2	no	—
426	C₄²×C₄₇	C₂⁴	1	2	yes	—
427	C₂²⋊Dic₄₇	—	2	1	no	—
428	C₂²⋊Dic₄₇	—	2	2	no	—
429	C₂²⋊Dic₄₇	—	2	1	no	—
430	C₂²⋊Dic₄₇	—	2	1	no	—
431	C₂²⋊Dic₄₇	—	2	1	no	—
432	C₂²⋊Dic₄₇	—	2	2	no	—
433	C₂²⋊Dic₄₇	—	2	2	no	—
434	C₂²⋊Dic₄₇	—	2	2	no	—
435	C₂²⋊Dic₄₇	—	2	2	no	—
436	#10625337	—	2	4	no	—
437	#10625337	—	4	2	no	—
438	#10625335	—	2	4	no	—
439	#10625335	—	4	2	no	—
440	#10625335	—	4	2	no	—
441	#10625335	—	4	2	no	—
442	C₄⋊Dic₄₇	—	2	1	no	—
443	C₄⋊Dic₄₇	—	2	1	no	—
444	C₄⋊Dic₄₇	—	2	2	no	—
445	C₄⋊Dic₄₇	—	2	1	no	—
446	C₄⋊Dic₄₇	—	2	2	no	—
447	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
448	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
449	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
450	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
451	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
452	Dic₄₇⋊C₄	—	2	2	no	—
453	Dic₄₇⋊C₄	—	2	2	no	—
454	Dic₄₇⋊C₄	—	2	2	no	—
455	Dic₄₇⋊C₄	—	2	2	no	—
456	Dic₄₇⋊C₄	—	2	2	no	—
457	Dic₄₇⋊C₄	—	2	2	no	—
458	Dic₄₇⋊C₄	—	2	2	no	—
459	Dic₄₇⋊C₄	—	2	2	no	—
460	C₄×Dic₄₇	—	2	1	no	—
461	C₄×Dic₄₇	—	2	1	no	—
462	C₄×Dic₄₇	—	2	1	no	—
463	C₄×Dic₄₇	—	2	1	no	—
464	C₄×Dic₄₇	—	2	2	no	—
465	C₄×Dic₄₇	—	2	2	no	—
466	C₄×Dic₄₇	—	2	2	no	—
467	#10625329	—	2	2	no	—
468	#10625329	—	2	2	no	—
469	#10625329	—	4	2	no	—
470	C₂×C₄₇⋊C₈	—	2	2	no	—
471	C₂×C₄₇⋊C₈	—	2	2	no	—
472	C₂×C₄₇⋊C₈	—	4	1	no	—
473	C₂×C₄₇⋊C₈	—	4	1	no	—
474	C₂×C₄₇⋊C₈	—	4	1	no	—
475	C₂×C₄₇⋊C₈	—	4	1	no	—
476	C₂×C₄₇⋊C₈	—	4	2	no	—
477	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
478	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
479	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
480	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
481	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
482	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
483	C₂³×C₄₇	—	2	2	no	—
484	C₂³×C₄₇	—	2	2	no	—
485	C₂³×C₄₇	—	2	1	no	—
486	C₂³×C₄₇	—	2	2	no	—
487	C₂³×C₄₇	—	2	1	no	—
488	C₂³×C₄₇	—	4	1	no	—
489	C₂³×C₄₇	—	4	2	no	—
490	C₂³×C₄₇	—	4	4	no	—
491	C₂³×C₄₇	—	4	2	no	—
492	C₂³×C₄₇	—	4	2	no	—
493	C₂³×C₄₇	—	8	1	no	—
494	C₂³×C₄₇	—	8	1	no	—
495	C₂³×C₄₇	—	8	2	no	—
496	C₂³×C₄₇	—	8	1	no	—
497	C₂³×C₄₇	—	8	2	no	—
498	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
499	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
500	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
501	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
502	Q₈×C₄₇	—	2	2	no	—
503	Q₈×C₄₇	—	2	1	no	—
504	Q₈×C₄₇	—	2	1	no	—
505	Q₈×C₄₇	—	2	1	no	—
506	Q₈×C₄₇	—	4	2	no	—
507	Q₈×C₄₇	C₂×#41	1	2	yes	—
508	D₄×C₄₇	—	2	4	no	—
509	D₄×C₄₇	—	2	4	no	—
510	D₄×C₄₇	—	2	4	no	—
511	D₄×C₄₇	—	2	2	no	—
512	D₄×C₄₇	—	2	2	no	—
513	D₄×C₄₇	—	2	1	no	—
514	D₄×C₄₇	—	2	1	no	—
515	D₄×C₄₇	—	2	2	no	—
516	D₄×C₄₇	—	2	1	no	—
517	D₄×C₄₇	—	4	2	no	—
518	D₄×C₄₇	—	4	4	no	—
519	D₄×C₄₇	—	4	2	no	—
520	D₄×C₄₇	—	4	4	no	—
521	D₄×C₄₇	—	4	2	no	—
522	D₄×C₄₇	—	4	2	no	—
523	D₄×C₄₇	—	4	2	no	—
524	D₄×C₄₇	—	4	4	no	—
525	D₄×C₄₇	—	4	2	no	—
526	D₄×C₄₇	—	8	2	no	—
527	D₄×C₄₇	—	8	2	no	—
528	D₄×C₄₇	—	8	2	no	—
529	D₄×C₄₇	—	8	2	no	—
530	D₄×C₄₇	C₂×#41	1	2	yes	—
531	C₂×C₄×C₄₇	—	2	2	no	—
532	C₂×C₄×C₄₇	—	2	1	no	—
533	C₂×C₄×C₄₇	—	2	2	no	—
534	C₂×C₄×C₄₇	—	2	2	no	—
535	C₂×C₄×C₄₇	—	2	4	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	1	no	—
540	C₂×C₄×C₄₇	—	2	1	no	—
541	C₂×C₄×C₄₇	—	2	2	no	—
542	C₂×C₄×C₄₇	—	2	2	no	—
543	C₂×C₄×C₄₇	—	2	1	no	—
544	C₂×C₄×C₄₇	—	4	2	no	—
545	C₂×C₄×C₄₇	—	4	4	no	—
546	C₂×C₄×C₄₇	—	4	2	no	—
547	C₂×C₄×C₄₇	—	4	2	no	—
548	C₂×C₄×C₄₇	—	4	2	no	—
549	C₂×C₄×C₄₇	—	8	2	no	—
550	C₂×C₄×C₄₇	—	8	1	no	—
551	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
556	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
557	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
558	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
559	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
560	C₂×Dic₄₇	—	2	1	no	—
561	C₂×Dic₄₇	—	2	1	no	—
562	C₂×Dic₄₇	—	2	1	no	—
563	C₂×Dic₄₇	—	2	2	no	—
564	C₂×Dic₄₇	—	2	1	no	—
565	C₂×Dic₄₇	—	2	2	no	—
566	C₂×Dic₄₇	—	4	2	no	—
567	C₂×Dic₄₇	—	4	2	no	—
568	C₂×Dic₄₇	—	8	1	no	—
569	C₂×Dic₄₇	—	8	1	no	—
570	C₂×Dic₄₇	—	8	2	no	—
571	Dic₉₄	—	2	2	no	—
572	Dic₉₄	—	2	2	no	—
573	Dic₉₄	—	4	2	no	—
574	Dic₉₄	—	8	2	no	—
575	C₄₇⋊C₈	—	2	2	no	—
576	C₄₇⋊C₈	—	2	1	no	—
577	C₄₇⋊C₈	—	2	1	no	—
578	C₄₇⋊C₈	—	2	1	no	—
579	C₄₇⋊C₈	—	2	1	no	—
580	C₄₇⋊C₈	—	2	2	no	—
581	#61172	—	47	1	no	maximal, Sylow
582	C₂²×C₄₇	—	2	1	no	—
583	C₂²×C₄₇	—	2	1	no	—
584	C₂²×C₄₇	—	2	1	no	—
585	C₂²×C₄₇	—	2	1	no	—
586	C₂²×C₄₇	—	2	2	no	—
587	C₂²×C₄₇	—	2	1	no	—
588	C₂²×C₄₇	—	2	1	no	—
589	C₂²×C₄₇	—	2	2	no	—
590	C₂²×C₄₇	—	2	2	no	—
591	C₂²×C₄₇	—	2	2	no	—
592	C₂²×C₄₇	—	2	1	no	—
593	C₂²×C₄₇	—	4	4	no	—
594	C₂²×C₄₇	—	4	1	no	—
595	C₂²×C₄₇	—	4	1	no	—
596	C₂²×C₄₇	—	4	1	no	—
597	C₂²×C₄₇	—	4	2	no	—
598	C₂²×C₄₇	—	4	1	no	—
599	C₂²×C₄₇	—	4	2	no	—
600	C₂²×C₄₇	—	4	2	no	—
601	C₂²×C₄₇	—	4	1	no	—
602	C₂²×C₄₇	—	8	4	no	—
603	C₂²×C₄₇	—	16	2	no	—
604	C₂²×C₄₇	—	16	4	no	—
605	C₂²×C₄₇	#546	1	2	yes	—
606	C₂²×C₄₇	#577	1	2	yes	—
607	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
608	C₄×C₄₇	—	2	2	no	—
609	C₄×C₄₇	—	2	1	no	—
610	C₄×C₄₇	—	2	1	no	—
611	C₄×C₄₇	—	2	2	no	—
612	C₄×C₄₇	—	2	2	no	—
613	C₄×C₄₇	—	2	2	no	—
614	C₄×C₄₇	—	4	1	no	—
615	C₄×C₄₇	—	4	2	no	—
616	C₄×C₄₇	#546	1	2	yes	—
617	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
618	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
619	Dic₄₇	—	4	1	no	—
620	Dic₄₇	—	4	2	no	—
621	Dic₄₇	—	4	1	no	—
622	Dic₄₇	—	4	2	no	—
623	Dic₄₇	—	4	1	no	—
624	Dic₄₇	—	4	1	no	—
625	#3495	—	47	1	no	—
626	#3488	D₄₇	1	1	yes	characteristic
627	#3317	—	47	2	no	—
628	#3316	—	47	2	no	—
629	#3311	—	47	2	no	—
630	#3310	—	47	2	no	—
631	#3304	—	47	2	no	—
632	#3300	—	47	2	no	—
633	#3296	—	47	2	no	—
634	#3295	—	47	2	no	—
635	#3136	—	47	1	no	—
636	#3099	—	47	1	no	—
637	#3094	—	47	1	no	—
638	#3084	—	47	1	no	—
639	#3063	—	47	1	no	—
640	C₂×#465	—	47	1	no	—
641	#3043	—	47	1	no	—
642	#3009	—	47	1	no	—
643	#3007	—	47	1	no	—
644	#2947	—	47	1	no	—
645	#2929	—	47	1	no	—
646	#2897	—	47	1	no	—
647	C₂×#416	—	47	1	no	—
648	C₂×C₄₇	—	2	2	no	—
649	C₂×C₄₇	—	2	2	no	—
650	C₂×C₄₇	—	4	1	no	—
651	C₂×C₄₇	—	4	2	no	—
652	C₂×C₄₇	—	4	2	no	—
653	C₂×C₄₇	—	8	1	no	—
654	C₂×C₄₇	—	8	2	no	—
655	C₂×C₄₇	C₂×#546	1	1	yes	characteristic
656	C₂×C₄₇	C₂×#577	1	1	yes	characteristic
657	C₂×C₄₇	#3584	1	1	yes	characteristic
658	C₂×H(5,𝔽₂)	C₂×D₄₇	1	1	yes	characteristic
659	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
660	C₂×#137	—	47	1	no	—
661	C₂×#137	—	47	1	no	—
662	C₂²×SD₁₆	—	47	1	no	—
663	C₂×#131	—	47	1	no	—
664	C₂³×C₈	—	47	1	no	—
665	#556	—	47	2	no	—
666	#554	—	47	2	no	—
667	#552	—	47	2	no	—
668	#552	—	47	2	no	—
669	#552	—	94	2	no	—
670	#551	—	94	2	no	—
671	#550	C₂×D₄₇	1	2	yes	—
672	#548	C₂×D₄₇	1	2	yes	—
673	#546	—	2	2	no	—
674	#546	C₂×D₄₇	1	2	yes	—
675	D₄²	—	2	2	no	—
676	D₄²	C₂×D₄₇	1	2	yes	—
677	#544	—	47	1	no	—
678	#542	—	94	1	no	—
679	#541	—	94	1	no	—
680	#537	—	2	1	no	—
681	#537	C₂×D₄₇	1	1	yes	characteristic
682	#536	—	47	1	no	—
683	#535	—	2	1	no	—
684	#535	C₂×D₄₇	1	1	yes	characteristic
685	#533	—	94	1	no	—
686	#529	—	94	1	no	—
687	#525	—	2	1	no	—
688	#525	C₂×D₄₇	1	1	yes	characteristic
689	C₂×C₂²⋊Q₈	—	47	1	no	—
690	C₂×#121	—	2	1	no	—
691	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
692	#520	—	47	1	no	—
693	#520	C₂×D₄₇	1	1	yes	characteristic
694	#519	—	47	1	no	—
695	C₂×#117	—	47	1	no	—
696	#490	—	47	2	no	—
697	#489	—	47	2	no	—
698	#488	—	47	2	no	—
699	#486	—	47	2	no	—
700	#485	—	47	2	no	—
701	#483	—	47	2	no	—
702	#482	—	47	2	no	—
703	#482	—	47	2	no	—
704	#482	—	47	2	no	—
705	#481	—	47	2	no	—
706	#481	—	47	2	no	—
707	#480	—	47	2	no	—
708	#479	—	47	2	no	—
709	#478	—	47	2	no	—
710	#476	—	47	2	no	—
711	#475	—	47	2	no	—
712	#470	—	47	2	no	—
713	#468	—	47	2	no	—
714	#467	—	47	2	no	—
715	#465	—	47	2	no	—
716	#465	—	47	2	no	—
717	#465	—	47	2	no	—
718	#465	—	47	2	no	—
719	#465	—	47	2	no	—
720	#464	—	47	2	no	—
721	#464	—	47	2	no	—
722	#460	—	47	2	no	—
723	#460	—	47	2	no	—
724	#452	—	47	2	no	—
725	#452	—	47	2	no	—
726	#452	—	47	2	no	—
727	#452	—	47	2	no	—
728	#451	—	47	2	no	—
729	#450	—	47	2	no	—
730	#450	—	47	2	no	—
731	#450	—	47	2	no	—
732	#441	—	47	2	no	—
733	#440	—	47	2	no	—
734	C₄×Q₁₆	—	47	2	no	—
735	C₄×SD₁₆	—	47	2	no	—
736	#435	—	47	2	no	—
737	#435	—	47	2	no	—
738	C₈×D₄	—	47	2	no	—
739	C₈×D₄	—	47	2	no	—
740	#428	—	47	1	no	—
741	#428	—	47	1	no	—
742	C₂×#106	—	47	1	no	—
743	#424	—	47	1	no	—
744	#418	—	47	1	no	—
745	#418	—	47	1	no	—
746	#418	—	47	2	no	—
747	#417	—	47	1	no	—
748	#417	—	47	1	no	—
749	#417	—	47	2	no	—
750	#416	—	47	1	no	—
751	#416	—	47	1	no	—
752	#416	—	47	1	no	—
753	#416	—	47	1	no	—
754	#416	—	47	1	no	—
755	#416	—	47	1	no	—
756	#416	—	47	1	no	—
757	#416	—	47	1	no	—
758	#416	—	47	2	no	—
759	C₂×#103	—	47	1	no	—
760	C₂×#103	—	47	1	no	—
761	C₂×#103	—	47	1	no	—
762	C₂×#102	—	47	1	no	—
763	C₂×#102	—	47	1	no	—
764	C₂×#102	—	47	1	no	—
765	C₂×#102	—	47	2	no	—
766	#408	—	47	1	no	—
767	#407	—	47	1	no	—
768	#405	—	47	1	no	—
769	C₄₇	#61172	1	1	yes	characteristic, complemented, Sylow
770	H(5,𝔽₂)	—	2	4	no	—
771	H(5,𝔽₂)	—	4	2	no	—
772	C₂×#41	—	2	1	no	—
773	C₂×#41	—	2	1	no	—
774	C₂×#41	—	2	1	no	—
775	C₂×#41	—	2	4	no	—
776	C₂×#41	—	4	2	no	—
777	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
778	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
779	C₂×#41	C₂²×D₄₇	1	2	yes	—
780	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
781	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
782	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
783	C₂²×Q₈	—	47	1	no	—
784	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
785	C₂²×D₄	—	2	1	no	—
786	C₂²×D₄	—	2	1	no	—
787	C₂²×D₄	—	2	1	no	—
788	C₂²×D₄	—	2	2	no	—
789	C₂²×D₄	—	2	2	no	—
790	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
791	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
792	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
793	C₂³×C₄	—	2	1	no	—
794	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
795	#137	—	94	4	no	—
796	#137	—	188	2	no	—
797	C₂×Q₁₆	—	47	2	no	—
798	C₂×Q₁₆	—	47	2	no	—
799	C₂×SD₁₆	—	47	2	no	—
800	C₂×SD₁₆	—	47	2	no	—
801	C₂×SD₁₆	—	47	2	no	—
802	C₂×SD₁₆	—	47	2	no	—
803	C₂×SD₁₆	—	188	2	no	—
804	#131	—	188	2	no	—
805	C₂×M₁₆	—	47	1	no	—
806	C₂×M₁₆	—	47	1	no	—
807	C₂×M₁₆	—	47	2	no	—
808	C₂²×C₈	—	47	1	no	—
809	C₂²×C₈	—	47	1	no	—
810	C₂²×C₈	—	47	1	no	—
811	C₂²×C₈	—	47	1	no	—
812	C₂²×C₈	—	47	1	no	—
813	C₂²×C₈	—	47	1	no	—
814	C₂²×C₈	—	47	2	no	—
815	C₂²×C₈	—	188	2	no	—
816	C₄⋊Q₈	—	47	2	no	—
817	C₄⋊Q₈	—	94	1	no	—
818	C₄⋊Q₈	—	94	1	no	—
819	#127	—	2	2	no	—
820	#127	C₂²×D₄₇	1	2	yes	—
821	#126	—	94	2	no	—
822	#126	—	94	2	no	—
823	#126	—	94	2	no	—
824	#126	—	94	2	no	—
825	#125	—	47	2	no	—
826	#125	—	94	1	no	—
827	#125	—	94	2	no	—
828	#125	—	94	2	no	—
829	#125	—	94	2	no	—
830	#124	—	2	2	no	—
831	#124	—	94	1	no	—
832	#124	—	94	2	no	—
833	#124	C₂²×D₄₇	1	2	yes	—
834	#123	—	2	2	no	—
835	#123	—	94	2	no	—
836	#123	—	94	2	no	—
837	#123	—	94	2	no	—
838	#123	C₂²⋊D₄₇	1	2	yes	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	—	2	2	no	—
841	C₂²⋊Q₈	—	47	2	no	—
842	C₂²⋊Q₈	—	47	2	no	—
843	C₂²⋊Q₈	—	47	2	no	—
844	C₂²⋊Q₈	—	47	2	no	—
845	C₂²⋊Q₈	—	94	1	no	—
846	C₂²⋊Q₈	—	94	1	no	—
847	C₂²⋊Q₈	—	94	2	no	—
848	C₂²⋊Q₈	—	94	2	no	—
849	C₂²⋊Q₈	—	94	2	no	—
850	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
851	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
852	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
853	#121	—	2	1	no	—
854	#121	—	2	2	no	—
855	#121	—	2	2	no	—
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	1	no	—
859	#121	—	2	1	no	—
860	#121	—	2	2	no	—
861	#121	—	2	2	no	—
862	#121	—	2	2	no	—
863	#121	—	2	2	no	—
864	#121	C₂²⋊D₄₇	1	1	yes	characteristic
865	#121	C₂²⋊D₄₇	1	1	yes	characteristic
866	#121	C₂²×D₄₇	1	2	yes	—
867	#121	C₂²×D₄₇	1	2	yes	—
868	#121	C₂²×D₄₇	1	2	yes	—
869	#120	—	2	2	no	—
870	#120	—	2	2	no	—
871	#120	—	2	2	no	—
872	#120	—	2	2	no	—
873	#120	C₂²⋊D₄₇	1	2	yes	—
874	C₄×Q₈	—	47	2	no	—
875	C₄×Q₈	—	47	2	no	—
876	C₄×Q₈	—	94	1	no	—
877	C₄×Q₈	—	94	1	no	—
878	C₄×Q₈	—	94	1	no	—
879	C₄×Q₈	—	94	2	no	—
880	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
881	C₄×D₄	—	2	2	no	—
882	C₄×D₄	—	2	2	no	—
883	C₄×D₄	—	2	2	no	—
884	C₄×D₄	—	94	1	no	—
885	C₄×D₄	—	94	2	no	—
886	C₄×D₄	—	94	2	no	—
887	C₄×D₄	C₂²×D₄₇	1	2	yes	—
888	C₄×D₄	C₂²×D₄₇	1	2	yes	—
889	C₄×D₄	C₂²×D₄₇	1	2	yes	—
890	#117	—	2	1	no	—
891	#117	—	47	1	no	—
892	#117	—	47	1	no	—
893	#117	—	47	1	no	—
894	#117	—	47	1	no	—
895	#117	—	47	2	no	—
896	#117	—	94	1	no	—
897	#117	—	94	1	no	—
898	#117	—	94	2	no	—
899	#117	—	94	2	no	—
900	#117	—	94	2	no	—
901	#117	C₂²×D₄₇	1	1	yes	characteristic
902	C₂×C₄⋊C₄	—	2	1	no	—
903	C₂×C₄⋊C₄	—	47	1	no	—
904	C₂×C₄⋊C₄	—	47	1	no	—
905	C₂×C₄⋊C₄	—	47	1	no	—
906	C₂×C₄⋊C₄	—	47	2	no	—
907	C₂×C₄⋊C₄	—	94	1	no	—
908	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	—	2	1	no	—
910	C₂×C₂²⋊C₄	—	2	2	no	—
911	C₂×C₂²⋊C₄	—	94	1	no	—
912	C₂×C₂²⋊C₄	—	94	1	no	—
913	C₂×C₄²	—	94	1	no	—
914	#107	—	47	2	no	—
915	#107	—	47	2	no	—
916	#106	—	47	2	no	—
917	#106	—	47	2	no	—
918	#106	—	47	2	no	—
919	#106	—	47	2	no	—
920	C₄⋊C₈	—	47	2	no	—
921	C₄⋊C₈	—	47	2	no	—
922	#103	—	47	1	no	—
923	#103	—	47	1	no	—
924	#103	—	47	1	no	—
925	#103	—	47	1	no	—
926	#103	—	47	1	no	—
927	#103	—	47	1	no	—
928	#103	—	47	1	no	—
929	#103	—	47	1	no	—
930	#103	—	47	2	no	—
931	#103	—	47	2	no	—
932	#103	—	47	2	no	—
933	#103	—	47	2	no	—
934	#102	—	47	1	no	—
935	#102	—	47	2	no	—
936	#102	—	47	1	no	—
937	#102	—	47	1	no	—
938	#102	—	47	1	no	—
939	#102	—	47	1	no	—
940	#102	—	47	1	no	—
941	#102	—	47	1	no	—
942	#102	—	47	1	no	—
943	#102	—	47	2	no	—
944	#102	—	47	2	no	—
945	#102	—	47	2	no	—
946	#102	—	47	2	no	—
947	#102	—	47	2	no	—
948	#102	—	47	2	no	—
949	#102	—	47	2	no	—
950	C₂²⋊C₈	—	47	2	no	—
951	C₂²⋊C₈	—	47	2	no	—
952	C₂²⋊C₈	—	47	2	no	—
953	C₂²⋊C₈	—	47	2	no	—
954	#97	—	47	2	no	—
955	C₄×C₈	—	47	2	no	—
956	C₂⁴	—	2	1	no	—
957	C₂⁴	—	2	2	no	—
958	C₂⁴	—	2	1	no	—
959	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
960	#41	—	2	2	no	—
961	#41	—	2	2	no	—
962	#41	—	2	2	no	—
963	#41	—	2	2	no	—
964	#41	—	2	4	no	—
965	#41	—	2	2	no	—
966	#41	—	2	2	no	—
967	#41	—	2	2	no	—
968	#41	—	4	4	no	—
969	#41	—	4	1	no	—
970	#41	—	4	1	no	—
971	#41	—	4	2	no	—
972	#41	—	4	4	no	—
973	#41	—	4	4	no	—
974	#41	#10625352	1	4	yes	—
975	C₂×Q₈	—	2	1	no	—
976	C₂×Q₈	—	2	2	no	—
977	C₂×Q₈	—	4	1	no	—
978	C₂×Q₈	—	47	2	no	—
979	C₂×Q₈	—	94	2	no	—
980	C₂×Q₈	—	94	1	no	—
981	C₂×Q₈	—	94	2	no	—
982	C₂×Q₈	—	94	2	no	—
983	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
984	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
985	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
986	C₂×D₄	—	2	1	no	—
987	C₂×D₄	—	2	2	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	1	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	2	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	2	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	2	no	—
1001	C₂×D₄	—	2	2	no	—
1002	C₂×D₄	—	2	2	no	—
1003	C₂×D₄	—	4	1	no	—
1004	C₂×D₄	—	4	2	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	8	no	—
1007	C₂×D₄	—	4	4	no	—
1008	C₂×D₄	—	8	4	no	—
1009	C₂×D₄	—	8	2	no	—
1010	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1011	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1012	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1013	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1014	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1015	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1016	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	2	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	1	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	1	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	4	4	no	—
1028	C₂²×C₄	—	94	1	no	—
1029	C₂²×C₄	—	94	1	no	—
1030	C₂²×C₄	—	94	2	no	—
1031	C₂²×C₄	—	94	1	no	—
1032	C₂²×C₄	—	94	1	no	—
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	C₂³×D₄₇	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1038	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1040	Q₁₆	—	94	4	no	—
1041	Q₁₆	—	188	2	no	—
1042	SD₁₆	—	94	4	no	—
1043	SD₁₆	—	188	2	no	—
1044	SD₁₆	—	188	2	no	—
1045	SD₁₆	—	188	2	no	—
1046	M₁₆	—	94	2	no	—
1047	M₁₆	—	94	2	no	—
1048	M₁₆	—	188	2	no	—
1049	C₂×C₈	—	47	1	no	—
1050	C₂×C₈	—	47	2	no	—
1051	C₂×C₈	—	47	1	no	—
1052	C₂×C₈	—	47	2	no	—
1053	C₂×C₈	—	47	1	no	—
1054	C₂×C₈	—	47	1	no	—
1055	C₂×C₈	—	94	2	no	—
1056	C₂×C₈	—	94	2	no	—
1057	C₂×C₈	—	188	1	no	—
1058	C₂×C₈	—	188	1	no	—
1059	C₂×C₈	—	188	1	no	—
1060	C₂×C₈	—	188	1	no	—
1061	C₂×C₈	—	188	2	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	2	no	—
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	47	1	no	—
1066	C₄⋊C₄	—	47	2	no	—
1067	C₄⋊C₄	—	47	1	no	—
1068	C₄⋊C₄	—	47	1	no	—
1069	C₄⋊C₄	—	47	1	no	—
1070	C₄⋊C₄	—	94	2	no	—
1071	C₄⋊C₄	—	94	2	no	—
1072	C₄⋊C₄	—	94	2	no	—
1073	C₄⋊C₄	—	94	2	no	—
1074	C₄⋊C₄	—	94	2	no	—
1075	C₄⋊C₄	—	94	2	no	—
1076	C₄⋊C₄	—	94	2	no	—
1077	C₄⋊C₄	—	94	2	no	—
1078	C₄⋊C₄	—	94	1	no	—
1079	C₄⋊C₄	—	94	1	no	—
1080	C₄⋊C₄	—	94	1	no	—
1081	C₄⋊C₄	—	94	2	no	—
1082	C₄⋊C₄	—	94	2	no	—
1083	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1084	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1085	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1086	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1087	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	2	2	no	—
1093	C₂²⋊C₄	—	2	2	no	—
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	94	1	no	—
1096	C₂²⋊C₄	—	94	1	no	—
1097	C₂²⋊C₄	—	94	1	no	—
1098	C₂²⋊C₄	—	94	1	no	—
1099	C₂²⋊C₄	—	94	2	no	—
1100	C₂²⋊C₄	—	94	2	no	—
1101	C₂²⋊C₄	—	94	2	no	—
1102	C₂²⋊C₄	—	94	2	no	—
1103	C₂²⋊C₄	—	94	2	no	—
1104	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1105	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1106	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1107	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1108	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1109	C₄²	—	2	2	no	—
1110	C₄²	—	94	1	no	—
1111	C₄²	—	94	1	no	—
1112	C₄²	—	94	1	no	—
1113	C₄²	—	94	1	no	—
1114	C₄²	—	94	2	no	—
1115	C₄²	—	94	2	no	—
1116	C₄²	—	94	2	no	—
1117	C₄²	C₂³×D₄₇	1	2	yes	—
1118	C₂³	—	2	2	no	—
1119	C₂³	—	2	2	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	2	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	4	1	no	—
1124	C₂³	—	4	2	no	—
1125	C₂³	—	4	4	no	—
1126	C₂³	—	4	2	no	—
1127	C₂³	—	4	2	no	—
1128	C₂³	—	8	1	no	—
1129	C₂³	—	8	1	no	—
1130	C₂³	—	8	2	no	—
1131	C₂³	—	8	1	no	—
1132	C₂³	—	8	2	no	—
1133	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1134	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1135	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1136	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1137	Q₈	—	2	2	no	—
1138	Q₈	—	2	1	no	—
1139	Q₈	—	2	1	no	—
1140	Q₈	—	2	1	no	—
1141	Q₈	—	4	2	no	—
1142	Q₈	—	94	2	no	—
1143	Q₈	—	94	2	no	—
1144	Q₈	—	376	2	no	—
1145	Q₈	—	188	2	no	—
1146	Q₈	C₂×#10625352	1	2	yes	—
1147	D₄	—	2	4	no	—
1148	D₄	—	2	4	no	—
1149	D₄	—	2	4	no	—
1150	D₄	—	2	2	no	—
1151	D₄	—	2	2	no	—
1152	D₄	—	2	1	no	—
1153	D₄	—	2	1	no	—
1154	D₄	—	2	2	no	—
1155	D₄	—	2	1	no	—
1156	D₄	—	4	2	no	—
1157	D₄	—	4	4	no	—
1158	D₄	—	4	2	no	—
1159	D₄	—	4	4	no	—
1160	D₄	—	4	2	no	—
1161	D₄	—	4	2	no	—
1162	D₄	—	4	2	no	—
1163	D₄	—	4	4	no	—
1164	D₄	—	4	2	no	—
1165	D₄	—	8	2	no	—
1166	D₄	—	8	2	no	—
1167	D₄	—	8	2	no	—
1168	D₄	—	8	2	no	—
1169	D₄	C₂×#10625352	1	2	yes	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	4	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	4	2	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	2	no	—
1186	C₂×C₄	—	4	2	no	—
1187	C₂×C₄	—	4	2	no	—
1188	C₂×C₄	—	8	2	no	—
1189	C₂×C₄	—	8	1	no	—
1190	C₂×C₄	—	94	1	no	—
1191	C₂×C₄	—	94	1	no	—
1192	C₂×C₄	—	94	1	no	—
1193	C₂×C₄	—	94	1	no	—
1194	C₂×C₄	—	94	2	no	—
1195	C₂×C₄	—	94	2	no	—
1196	C₂×C₄	—	376	2	no	—
1197	C₂×C₄	—	376	1	no	—
1198	C₂×C₄	—	376	1	no	—
1199	C₂×C₄	—	188	2	no	—
1200	C₂×C₄	—	188	2	no	—
1201	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1202	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1203	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1204	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1205	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1206	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1207	C₂×C₄	C₂×#10625352	1	2	yes	—
1208	C₂×C₄	#13094069	1	2	yes	—
1209	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1210	C₈	—	94	2	no	—
1211	C₈	—	94	1	no	—
1212	C₈	—	94	1	no	—
1213	C₈	—	94	1	no	—
1214	C₈	—	94	1	no	—
1215	C₈	—	94	2	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	2	1	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	2	2	no	—
1223	C₂²	—	2	2	no	—
1224	C₂²	—	2	1	no	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	1	no	—
1227	C₂²	—	4	4	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	2	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	2	no	—
1236	C₂²	—	8	4	no	—
1237	C₂²	—	16	2	no	—
1238	C₂²	—	16	4	no	—
1239	C₂²	#15689767	1	2	yes	—
1240	C₂²	#15689934	1	2	yes	—
1241	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1242	C₄	—	2	1	no	—
1243	C₄	—	2	1	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	2	2	no	—
1247	C₄	—	2	2	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	2	no	—
1250	C₄	—	188	2	no	—
1251	C₄	—	188	1	no	—
1252	C₄	—	188	1	no	—
1253	C₄	—	188	1	no	—
1254	C₄	—	188	2	no	—
1255	C₄	—	188	1	no	—
1256	C₄	#15689767	1	2	yes	—
1257	C₄	C₂²×#10625352	1	1	yes	characteristic
1258	C₄	C₂×#13094069	1	1	yes	characteristic
1259	C₂	—	2	2	no	—
1260	C₂	—	2	2	no	—
1261	C₂	—	4	1	no	—
1262	C₂	—	4	2	no	—
1263	C₂	—	4	2	no	—
1264	C₂	—	8	1	no	—
1265	C₂	—	8	2	no	—
1266	C₂	C₂×#15689767	1	1	yes	characteristic
1267	C₂	C₂×#15689934	1	1	yes	characteristic
1268	C₂	#20258159	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting, prime radical	C₄₇×#3488	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3488	D₄₇
hypocenter	C₄₇	#61172
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3488

Complements

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

N	H ≅ G/N	type
1. #20257142	C₂	semidirect
2. #20255514	C₂	semidirect
3. #20255499	C₂	semidirect
4. #20255424	C₂	semidirect
5. #20255409	C₂	semidirect
6. #20255327	C₂	semidirect
7. #20255275	C₂	semidirect
8. #20255223	C₂	semidirect
9. #20255212	C₂	semidirect
10. #20253742	C₂	semidirect
11. #20253373	C₂	semidirect
12. #20253324	C₂	semidirect
13. #20253250	C₂	semidirect
14. #20253081	C₂	semidirect
15. C₂×#15689350	C₂	semidirect
16. #20252905	C₂	semidirect
17. #20252665	C₂	semidirect
18. #20252648	C₂	semidirect
19. #20252227	C₂	semidirect
20. #20252083	C₂	semidirect
21. #20251914	C₂	semidirect
22. C₂×#15689119	C₂	semidirect
25. C₂×#13094054	C₂²	semidirect
26. C₂²×#10625335	C₂²	semidirect
27. C₂×#13094031	C₂²	semidirect
28. C₂³×C₄₇⋊C₈	C₂²	semidirect
29. #15689843	C₂²	semidirect
30. #15689830	C₂²	semidirect
31. #15689813	C₂²	semidirect
32. #15689813	C₂²	semidirect
35. #15689751	C₂²	semidirect
38. #15689694	C₂²	semidirect
41. C₂×#13094003	C₂²	semidirect
42. #15689606	C₂²	semidirect
43. #15689600	C₂²	semidirect
44. C₂×#13093983	C₂²	semidirect
45. #15689487	C₂²	semidirect
46. #15689482	C₂²	semidirect
47. #15689477	C₂²	semidirect
48. #15689469	C₂²	semidirect
49. #15689461	C₂²	semidirect
50. #15689451	C₂²	semidirect
51. #15689444	C₂²	semidirect
52. #15689444	C₂²	semidirect
53. #15689444	C₂²	semidirect
54. #15689439	C₂²	semidirect
55. #15689439	C₂²	semidirect
56. #15689434	C₂²	semidirect
57. #15689430	C₂²	semidirect
58. #15689423	C₂²	semidirect
59. #15689413	C₂²	semidirect
60. #15689408	C₂²	semidirect
61. #15689379	C₂²	semidirect
62. #15689367	C₂²	semidirect
63. #15689362	C₂²	semidirect
64. #15689350	C₂²	semidirect
65. #15689350	C₂²	semidirect
66. #15689350	C₂²	semidirect
67. #15689350	C₂²	semidirect
68. #15689350	C₂²	semidirect
69. #15689342	C₂²	semidirect
70. #15689342	C₂²	semidirect
71. #15689320	C₂²	semidirect
72. #15689320	C₂²	semidirect
73. #15689285	C₂²	semidirect
74. #15689285	C₂²	semidirect
75. #15689285	C₂²	semidirect
76. #15689285	C₂²	semidirect
77. #15689279	C₂²	semidirect
78. #15689274	C₂²	semidirect
79. #15689274	C₂²	semidirect
80. #15689274	C₂²	semidirect
81. #15689228	C₂²	semidirect
82. #15689223	C₂²	semidirect
83. C₄×#10625337	C₂²	semidirect
84. C₄×#10625335	C₂²	semidirect
85. #15689195	C₂²	semidirect
86. #15689195	C₂²	semidirect
87. D₄×C₄₇⋊C₈	C₂²	semidirect
88. D₄×C₄₇⋊C₈	C₂²	semidirect
89. #15689163	C₂²	semidirect
90. #15689163	C₂²	semidirect
91. C₂×#13093955	C₂²	semidirect
92. #15689150	C₂²	semidirect
93. #15689128	C₂²	semidirect
94. #15689128	C₂²	semidirect
95. #15689128	C₂²	semidirect
97. #15689124	C₂²	semidirect
98. #15689124	C₂²	semidirect
101. #15689119	C₂²	semidirect
102. #15689119	C₂²	semidirect
103. #15689119	C₂²	semidirect
104. #15689119	C₂²	semidirect
105. #15689119	C₂²	semidirect
106. #15689119	C₂²	semidirect
107. #15689119	C₂²	semidirect
108. C₂×#13093948	C₂²	semidirect
109. C₂×#13093948	C₂²	semidirect
110. C₂×#13093947	C₂²	semidirect
111. C₂×#13093945	C₂²	semidirect
112. C₂×#13093945	C₂²	semidirect
113. C₂×#13093945	C₂²	semidirect
114. C₂×#13093945	C₂²	semidirect
115. #15689090	C₂²	semidirect
116. #15689087	C₂²	semidirect
117. #15689079	C₂²	semidirect
769. C₄₇	#61172	semidirect

Maximal subgroups

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

subgroup	index
#20257142	2
#20255514	2
#20255499	2
#20255424	2
#20255409	2
#20255327	2
#20255275	2
#20255223	2
#20255212	2
#20253742	2
#20253373	2
#20253324	2
#20253250	2
#20253081	2
C₂×#15689350	2
#20252905	2
#20252665	2
#20252648	2
#20252227	2
#20252083	2
#20251914	2
C₂×#15689119	2
C₄₇×#3488	2
#61172	47