Subgroups — #27124816

Order 12032.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689959	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	#20257066	C₂	1	4	yes	maximal, complemented
4	#20257063	C₂	1	4	yes	maximal, complemented
5	#20257055	C₂	1	4	yes	maximal, complemented
6	#20257052	C₂	1	4	yes	maximal, complemented
7	#20257044	C₂	1	2	yes	maximal, complemented
8	#20257037	C₂	1	2	yes	maximal, complemented
9	#20257031	C₂	1	2	yes	maximal, complemented
10	#20257029	C₂	1	4	yes	maximal, complemented
11	#20257022	C₂	1	2	yes	maximal, complemented
12	#20257020	C₂	1	4	yes	maximal, complemented
13	#20256874	C₂	1	8	yes	maximal, complemented
14	#20256871	C₂	1	8	yes	maximal, complemented
15	#20256718	C₂	1	4	yes	maximal, complemented
16	#20256717	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#15689635	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689630	C₂	1	1	yes	maximal, characteristic, complemented
19	#525×D₄₇	C₂	1	4	yes	maximal, complemented
20	#20256589	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₇×#3449	C₂	1	1	yes	maximal, characteristic, complemented
22	#15689959	—	2	16	no	—
23	C₂×#13094072	C₂²	1	2	yes	complemented
24	C₂×#13094071	C₂²	1	2	yes	complemented
25	C₂×#13094071	C₂²	1	2	yes	complemented
26	C₂×#13094070	C₂²	1	2	yes	complemented
27	C₂×#13094070	C₂²	1	2	yes	complemented
28	C₂×#13094069	C₂²	1	4	yes	complemented
29	C₂×#13094069	C₂²	1	2	yes	complemented
30	C₂²×#10625354	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#10625350	C₂²	1	1	yes	characteristic
32	C₂²×#10625350	C₂²	1	2	yes	complemented
33	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#10625350	C₂²	1	4	yes	complemented
35	C₂²×#10625352	C₂²	1	2	yes	complemented
36	C₂²×#10625352	C₂²	1	1	yes	characteristic, complemented
37	C₂×#41×D₄₇	—	2	16	no	—
38	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
39	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
40	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
41	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
42	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
43	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
44	C₂²×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₄×D₄₇	C₂²	1	2	yes	complemented
46	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
47	C₂³×C₄×D₄₇	C₂²	1	2	yes	complemented
48	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
49	#15689793	C₂²	1	8	yes	complemented
50	#15689791	C₂²	1	8	yes	complemented
51	#15689788	C₂²	1	8	yes	complemented
52	#15689786	C₂²	1	8	yes	complemented
53	#15689783	C₂²	1	8	yes	complemented
54	#15689781	C₂²	1	8	yes	complemented
55	#15689781	C₂²	1	8	yes	complemented
56	#15689779	C₂²	1	8	yes	complemented
57	#15689776	C₂²	1	8	yes	complemented
58	#15689775	C₂²	1	8	yes	complemented
59	#15689773	C₂²	1	16	yes	complemented
60	#15689771	C₂²	1	16	yes	complemented
61	#15689770	C₂²	1	8	yes	complemented
62	#15689766	C₂²	1	8	yes	complemented
63	#15689766	C₂²	1	8	yes	complemented
64	#15689765	C₂²	1	16	yes	complemented
65	#15689764	C₂²	1	8	yes	complemented
66	#15689762	C₂²	1	16	yes	complemented
67	#15689762	C₂²	1	16	yes	complemented
68	#15689760	C₂²	1	16	yes	complemented
69	#15689758	C₂²	1	8	yes	complemented
70	#15689757	C₂²	1	8	yes	complemented
71	#15689757	C₂²	1	16	yes	complemented
72	#15689755	C₂²	1	16	yes	complemented
73	#15689703	C₂²	1	8	yes	complemented
74	#15689702	C₂²	1	8	yes	complemented
75	#15689701	C₂²	1	4	yes	complemented
76	#15689697	C₂²	1	2	yes	complemented
77	#15689696	C₂²	1	8	yes	complemented
78	#15689695	C₂²	1	8	yes	complemented
79	#15689694	C₂²	1	2	yes	complemented
80	#15689690	C₂²	1	2	yes	complemented
81	#15689689	C₂²	1	8	yes	complemented
82	#15689688	C₂²	1	8	yes	complemented
83	#15689687	C₂²	1	2	yes	complemented
84	#15689684	C₂²	1	8	yes	complemented
85	#15689683	C₂²	1	8	yes	complemented
86	#15689682	C₂²	1	4	yes	complemented
87	#15689670	C₂²	1	16	yes	complemented
88	#15689669	C₂²	1	4	yes	complemented
89	#15689636	C₂²	1	8	yes	complemented
90	#15689635	C₂²	1	2	yes	complemented
91	#15689635	C₂²	1	2	yes	complemented
92	#15689635	C₂²	1	2	yes	complemented
93	#15689635	C₂²	1	2	yes	complemented
94	#15689635	C₂²	1	4	yes	complemented
95	#15689635	C₂²	1	4	yes	complemented
96	#15689634	C₂²	1	4	yes	complemented
97	#15689633	C₂²	1	8	yes	complemented
98	#15689632	C₂²	1	16	yes	complemented
99	#15689632	C₂²	1	16	yes	complemented
100	#15689631	C₂²	1	8	yes	complemented
101	#15689630	C₂²	1	2	yes	complemented
102	#15689630	C₂²	1	2	yes	complemented
103	#15689630	C₂²	1	2	yes	complemented
104	#15689630	C₂²	1	2	yes	complemented
105	#15689630	C₂²	1	4	yes	complemented
106	#15689630	C₂²	1	4	yes	complemented
107	#15689630	C₂²	1	4	yes	complemented
108	#15689629	C₂²	1	8	yes	complemented
109	C₂×#13094008	C₂²	1	2	yes	complemented
110	C₂×#13094005	C₂²	1	2	yes	complemented
111	#123×D₄₇	C₂²	1	8	yes	complemented
112	C₂×#13094004	C₂²	1	2	yes	complemented
113	C₂×#13094000	C₂²	1	2	yes	complemented
114	C₂²⋊Q₈×D₄₇	C₂²	1	8	yes	complemented
115	C₂×#13093999	C₂²	1	2	yes	complemented
116	C₂×#13093995	C₂²	1	2	yes	complemented
117	#121×D₄₇	C₂²	1	8	yes	complemented
118	C₂×#13093994	C₂²	1	2	yes	complemented
119	C₂×#13093992	C₂²	1	2	yes	complemented
120	#120×D₄₇	C₂²	1	8	yes	complemented
121	#15689604	C₂²	1	4	yes	complemented
122	#15689603	C₂²	1	4	yes	complemented
123	#15689600	C₂²	1	2	yes	complemented
124	#15689597	C₂²	1	2	yes	complemented
125	#15689596	C₂²	1	4	yes	complemented
126	C₄×#10625350	C₂²	1	4	yes	complemented
127	#15689591	C₂²	1	4	yes	complemented
128	C₂×C₄×D₁₈₈	C₂²	1	4	yes	complemented
129	C₂×C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
130	C₄×D₄×D₄₇	C₂²	1	16	yes	complemented
131	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
132	#117×D₄₇	C₂²	1	4	yes	complemented
133	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₄₇×#537	C₂²	1	4	yes	complemented
136	C₄₇×#536	C₂²	1	2	yes	complemented
137	C₄₇×#536	C₂²	1	2	yes	complemented
138	C₄₇×#535	C₂²	1	2	yes	complemented
139	C₄₇×#535	C₂²	1	2	yes	complemented
140	C₄₇×#534	C₂²	1	4	yes	complemented
141	C₄₇×#532	C₂²	1	4	yes	complemented
142	C₄₇×#525	C₂²	1	4	yes	complemented
143	C₄₇×#525	C₂²	1	4	yes	complemented
144	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
145	C₂⁴×D₄₇	C₂³	1	2	yes	—
146	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
147	#13094072	—	2	16	no	—
148	#13094071	—	2	16	no	—
149	#13094071	—	2	16	no	—
150	#13094070	—	2	16	no	—
151	#13094070	—	2	16	no	—
152	#13094069	—	2	32	no	—
153	#13094069	—	2	16	no	—
154	C₂×#10625354	—	2	8	no	—
155	C₂×#10625354	C₂³	1	4	yes	—
156	C₂×#10625354	C₂³	1	4	yes	—
157	C₂×#10625354	C₂³	1	4	yes	complemented
158	C₂×#10625354	C₂³	1	4	yes	complemented
159	C₂×#10625350	—	2	8	no	—
160	C₂×#10625350	—	2	32	no	—
161	C₂×#10625350	—	2	16	no	—
162	C₂×#10625350	D₄	1	16	yes	complemented
163	C₂×#10625350	C₂³	1	8	yes	—
164	C₂×#10625350	C₂³	1	2	yes	—
165	C₂×#10625350	C₂³	1	2	yes	—
166	C₂×#10625350	C₂³	1	8	yes	—
167	C₂×#10625350	C₂³	1	2	yes	—
168	C₂×#10625350	C₂³	1	2	yes	—
169	C₂×#10625350	C₂³	1	2	yes	—
170	C₂×#10625350	C₂³	1	2	yes	—
171	C₂×#10625350	C₂³	1	8	yes	complemented
172	C₂×#10625350	C₂³	1	4	yes	complemented
173	C₂×#10625350	C₂³	1	4	yes	complemented
174	C₂×#10625350	C₂³	1	8	yes	complemented
175	C₂×#10625350	C₂³	1	2	yes	complemented
176	C₂×#10625350	C₂³	1	2	yes	complemented
177	C₂×#10625352	—	2	16	no	—
178	C₂×#10625352	—	2	8	no	—
179	C₂×#10625352	C₂³	1	8	yes	—
180	C₂×#10625352	C₂³	1	8	yes	—
181	C₂×#10625352	C₂³	1	4	yes	—
182	C₂×#10625352	C₂³	1	4	yes	—
183	C₂×#10625352	C₂³	1	8	yes	—
184	C₂×#10625352	C₂³	1	8	yes	complemented
185	C₂×#10625352	C₂³	1	4	yes	complemented
186	C₂×#10625352	C₂³	1	4	yes	complemented
187	#41×D₄₇	—	2	32	no	—
188	#41×D₄₇	—	2	32	no	—
189	#41×D₄₇	—	2	32	no	—
190	#41×D₄₇	—	2	32	no	—
191	#41×D₄₇	—	2	32	no	—
192	#41×D₄₇	—	2	32	no	—
193	C₂²×Dic₉₄	C₂³	1	2	yes	—
194	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
195	C₂²×Dic₉₄	C₂³	1	4	yes	complemented
196	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic, complemented
197	C₂×Q₈×D₄₇	—	2	8	no	—
198	C₂×Q₈×D₄₇	C₂³	1	4	yes	—
199	C₂×Q₈×D₄₇	C₂³	1	4	yes	—
200	C₂×Q₈×D₄₇	C₂³	1	4	yes	complemented
201	C₂×Q₈×D₄₇	C₂³	1	4	yes	complemented
202	C₂²×D₁₈₈	C₂³	1	2	yes	—
203	C₂²×D₁₈₈	C₂³	1	4	yes	—
204	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
205	C₂²×D₁₈₈	C₂³	1	4	yes	complemented
206	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic, complemented
207	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
208	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
209	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
210	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
211	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
212	C₂²×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
213	C₂×D₄×D₄₇	—	2	16	no	—
214	C₂×D₄×D₄₇	—	2	8	no	—
215	C₂×D₄×D₄₇	C₂³	1	8	yes	—
216	C₂×D₄×D₄₇	C₂³	1	8	yes	—
217	C₂×D₄×D₄₇	C₂³	1	4	yes	—
218	C₂×D₄×D₄₇	C₂³	1	4	yes	—
219	C₂×D₄×D₄₇	C₂³	1	8	yes	—
220	C₂×D₄×D₄₇	C₂³	1	16	yes	—
221	C₂×D₄×D₄₇	C₂³	1	8	yes	complemented
222	C₂×D₄×D₄₇	C₂³	1	4	yes	complemented
223	C₂×D₄×D₄₇	C₂³	1	4	yes	complemented
224	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
225	C₂³×Dic₄₇	C₂³	1	2	yes	—
226	C₂²×C₄×D₄₇	—	2	8	no	—
227	C₂²×C₄×D₄₇	—	2	16	no	—
228	C₂²×C₄×D₄₇	C₂³	1	8	yes	—
229	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
230	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
231	C₂²×C₄×D₄₇	C₂³	1	8	yes	—
232	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
233	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
234	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
235	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
240	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
241	C₂²×C₄×D₄₇	C₂³	1	8	yes	complemented
242	C₂²×C₄×D₄₇	C₂³	1	2	yes	complemented
243	#13094023	C₂³	1	16	yes	complemented
244	#13094022	C₂³	1	4	yes	complemented
245	#13094020	C₂³	1	16	yes	complemented
246	#13094020	C₂³	1	4	yes	complemented
247	#13094013	C₂³	1	4	yes	complemented
248	#13094011	C₂³	1	4	yes	complemented
249	#13094010	C₂³	1	16	yes	complemented
250	#13094010	C₂³	1	16	yes	complemented
251	#13094009	C₂³	1	16	yes	complemented
252	#13094009	C₂³	1	16	yes	complemented
253	#13094008	C₂³	1	4	yes	—
254	#13094008	C₂³	1	4	yes	—
255	#13094008	C₂³	1	8	yes	complemented
256	#13094007	C₂³	1	8	yes	—
257	#13094006	C₂³	1	16	yes	complemented
258	#13094006	C₂³	1	16	yes	complemented
259	#13094005	C₂³	1	4	yes	—
260	#13094005	C₂³	1	4	yes	—
261	#13094005	C₂³	1	8	yes	complemented
262	#13094005	C₂³	1	8	yes	complemented
263	#13094004	C₂³	1	4	yes	—
264	#13094004	C₂³	1	4	yes	—
265	#13094004	C₂³	1	4	yes	complemented
266	#13094004	C₂³	1	4	yes	complemented
267	#13094003	C₂³	1	8	yes	complemented
268	#13094002	C₂³	1	16	yes	—
269	#13094002	C₂³	1	16	yes	complemented
270	#13094001	C₂³	1	16	yes	complemented
271	#13094001	C₂³	1	16	yes	complemented
272	#13094000	C₂³	1	4	yes	—
273	#13094000	C₂³	1	4	yes	—
274	#13094000	C₂³	1	8	yes	complemented
275	#13094000	C₂³	1	4	yes	complemented
276	#13094000	C₂³	1	4	yes	complemented
277	#13093999	C₂³	1	4	yes	—
278	#13093999	C₂³	1	4	yes	—
279	#13093999	C₂³	1	16	yes	complemented
280	#13093999	C₂³	1	4	yes	complemented
281	#13093999	C₂³	1	4	yes	complemented
282	#13093998	C₂³	1	8	yes	complemented
283	#13093997	C₂³	1	16	yes	—
284	#13093997	C₂³	1	16	yes	complemented
285	#13093997	C₂³	1	16	yes	complemented
286	#13093997	C₂³	1	16	yes	complemented
287	#13093996	C₂³	1	16	yes	complemented
288	#13093996	C₂³	1	16	yes	complemented
289	#13093996	C₂³	1	16	yes	complemented
290	#13093995	C₂³	1	4	yes	—
291	#13093995	C₂³	1	4	yes	—
292	#13093995	C₂³	1	16	yes	complemented
293	#13093995	C₂³	1	8	yes	complemented
294	#13093995	C₂³	1	4	yes	complemented
295	#13093995	C₂³	1	4	yes	complemented
296	#13093994	C₂³	1	8	yes	—
297	#13093994	C₂³	1	16	yes	—
298	#13093994	C₂³	1	4	yes	—
299	#13093994	C₂³	1	4	yes	—
300	#13093994	C₂³	1	16	yes	complemented
301	#13093993	C₂³	1	8	yes	—
302	#13093992	C₂³	1	16	yes	—
303	#13093992	C₂³	1	8	yes	—
304	#13093992	C₂³	1	4	yes	—
305	#13093992	C₂³	1	4	yes	—
306	#13093992	C₂³	1	8	yes	complemented
307	#13093992	C₂³	1	16	yes	complemented
308	C₄×Dic₉₄	C₂³	1	8	yes	complemented
309	#13093989	C₂³	1	8	yes	complemented
310	C₄×D₁₈₈	C₂³	1	8	yes	—
311	C₄×D₁₈₈	C₂³	1	8	yes	—
312	C₄×D₁₈₈	C₂³	1	8	yes	complemented
313	C₄×D₁₈₈	C₂³	1	8	yes	complemented
314	C₄×D₁₈₈	C₂³	1	8	yes	complemented
315	D₄×Dic₄₇	C₂³	1	16	yes	complemented
316	#13093986	C₂³	1	16	yes	—
317	#13093986	C₂³	1	8	yes	complemented
318	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
319	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
320	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
321	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
322	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
323	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	complemented
324	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
325	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
326	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
327	#13093983	C₂³	1	2	yes	—
328	#13093983	C₂³	1	2	yes	—
329	#13093983	C₂³	1	2	yes	complemented
330	#13093983	C₂³	1	2	yes	complemented
331	#13093982	C₂³	1	8	yes	complemented
332	#13093981	C₂³	1	8	yes	complemented
333	#13093980	C₂³	1	8	yes	—
334	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	complemented
335	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	complemented
336	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	complemented
337	C₄⋊C₄×D₄₇	C₂³	1	16	yes	complemented
338	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
339	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
340	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	complemented
341	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
342	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
343	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	complemented
344	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	—
345	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
346	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
347	C₂×C₄×Dic₄₇	C₂³	1	2	yes	complemented
348	C₄²×D₄₇	C₂³	1	8	yes	complemented
349	C₂×#41×C₄₇	—	2	8	no	—
350	C₂×#41×C₄₇	—	2	8	no	—
351	C₂×#41×C₄₇	C₂³	1	2	yes	—
352	C₂×#41×C₄₇	C₂³	1	2	yes	—
353	C₂×#41×C₄₇	C₂³	1	2	yes	—
354	C₂×#41×C₄₇	C₂³	1	2	yes	—
355	C₂×#41×C₄₇	C₂³	1	2	yes	—
356	C₂×#41×C₄₇	C₂³	1	2	yes	—
357	C₂×#41×C₄₇	C₂³	1	2	yes	complemented
358	C₂×#41×C₄₇	C₂³	1	2	yes	complemented
359	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
360	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic, complemented
361	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
362	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
363	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
364	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic, complemented
365	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
366	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
367	C₂³×C₄×C₄₇	C₂³	1	2	yes	complemented
368	C₄⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
369	#127×C₄₇	C₂³	1	4	yes	complemented
370	#124×C₄₇	C₂³	1	4	yes	complemented
371	#124×C₄₇	C₂³	1	4	yes	complemented
372	#123×C₄₇	C₂³	1	8	yes	—
373	#123×C₄₇	C₂³	1	8	yes	complemented
374	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
375	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
376	#121×C₄₇	C₂³	1	16	yes	complemented
377	#121×C₄₇	C₂³	1	8	yes	complemented
378	#121×C₄₇	C₂³	1	8	yes	complemented
379	#120×C₄₇	C₂³	1	8	yes	—
380	#120×C₄₇	C₂³	1	8	yes	complemented
381	C₄×D₄×C₄₇	C₂³	1	16	yes	complemented
382	#117×C₄₇	C₂³	1	2	yes	—
383	#117×C₄₇	C₂³	1	2	yes	—
384	#117×C₄₇	C₂³	1	2	yes	complemented
385	#117×C₄₇	C₂³	1	2	yes	complemented
386	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	complemented
387	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
388	C₂×C₄²×C₄₇	C₂³	1	2	yes	complemented
389	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
390	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
391	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂³×D₄₇	—	2	4	no	—
393	C₂³×D₄₇	—	2	8	no	—
394	C₂³×D₄₇	—	4	4	no	—
395	C₂³×D₄₇	—	4	8	no	—
396	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
397	C₂³×D₄₇	C₂⁴	1	8	yes	—
398	C₂³×D₄₇	C₂⁴	1	2	yes	—
399	C₂³×D₄₇	C₂⁴	1	2	yes	—
400	C₂³×D₄₇	C₂⁴	1	8	yes	—
401	C₂³×D₄₇	C₂⁴	1	2	yes	—
402	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
403	C₂³×D₄₇	C₂⁴	1	2	yes	—
404	#41×C₄₇	—	2	8	no	—
405	#41×C₄₇	—	2	8	no	—
406	#41×C₄₇	—	2	8	no	—
407	#41×C₄₇	—	2	8	no	—
408	#41×C₄₇	—	2	8	no	—
409	#41×C₄₇	—	2	8	no	—
410	#41×C₄₇	—	2	8	no	—
411	#41×C₄₇	—	2	8	no	—
412	C₂×Q₈×C₄₇	—	2	4	no	—
413	C₂×Q₈×C₄₇	—	2	4	no	—
414	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
415	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
416	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
417	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
418	C₂×D₄×C₄₇	—	2	8	no	—
419	C₂×D₄×C₄₇	—	2	8	no	—
420	C₂×D₄×C₄₇	—	2	4	no	—
421	C₂×D₄×C₄₇	—	2	4	no	—
422	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
423	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
424	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
425	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
426	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
427	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
428	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
429	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
430	C₂×D₄×C₄₇	C₂⁴	1	16	yes	—
431	C₂²×C₄×C₄₇	—	2	8	no	—
432	C₂²×C₄×C₄₇	—	2	8	no	—
433	C₂²×C₄×C₄₇	C₂×D₄	1	8	yes	complemented
434	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
435	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
436	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
437	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
438	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
439	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
440	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
441	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
447	C₂×C₂²⋊D₄₇	—	2	8	no	—
448	C₂×C₂²⋊D₄₇	—	2	8	no	—
449	C₂×C₂²⋊D₄₇	—	2	32	no	—
450	C₂×C₂²⋊D₄₇	—	2	8	no	—
451	C₂×C₂²⋊D₄₇	—	4	8	no	—
452	C₂×C₂²⋊D₄₇	C₂×D₄	1	16	yes	complemented
453	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
454	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
455	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
456	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
457	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
458	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
459	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
460	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
461	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
462	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
463	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
464	C₂²×Dic₄₇	—	2	4	no	—
465	C₂²×Dic₄₇	—	2	8	no	—
466	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
467	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
468	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
469	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
470	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
471	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
472	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
474	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
475	#10625354	—	2	16	no	—
476	#10625354	—	2	16	no	—
477	#10625354	—	2	16	no	—
478	#10625354	—	2	16	no	—
479	Q₈×D₄₇	—	2	16	no	—
480	Q₈×D₄₇	—	2	16	no	—
481	Q₈×D₄₇	—	2	16	no	—
482	Q₈×D₄₇	—	2	16	no	—
483	#10625352	—	2	32	no	—
484	#10625352	—	2	32	no	—
485	#10625352	—	2	32	no	—
486	#10625352	—	2	32	no	—
487	#10625352	—	2	16	no	—
488	#10625352	—	2	16	no	—
489	#10625352	—	2	16	no	—
490	#10625352	—	2	16	no	—
491	D₄×D₄₇	—	2	32	no	—
492	D₄×D₄₇	—	2	32	no	—
493	D₄×D₄₇	—	2	32	no	—
494	D₄×D₄₇	—	2	32	no	—
495	D₄×D₄₇	—	2	16	no	—
496	D₄×D₄₇	—	2	16	no	—
497	D₄×D₄₇	—	2	16	no	—
498	D₄×D₄₇	—	2	16	no	—
499	D₄×D₄₇	—	4	32	no	—
500	#10625350	—	2	8	no	—
501	#10625350	—	2	8	no	—
502	#10625350	—	2	8	no	—
503	#10625350	—	2	8	no	—
504	#10625350	—	2	32	no	—
505	#10625350	—	2	16	no	—
506	#10625350	—	2	32	no	—
507	#10625350	—	2	32	no	—
508	#10625350	—	2	32	no	—
509	#10625350	—	2	16	no	—
510	#10625350	C₂×D₄	1	16	yes	complemented
511	#10625350	C₂×D₄	1	16	yes	complemented
512	#10625350	C₂×D₄	1	16	yes	complemented
513	#10625350	C₂×D₄	1	16	yes	complemented
514	C₂×D₁₈₈	—	2	8	no	—
515	C₂×D₁₈₈	—	2	4	no	—
516	C₂×D₁₈₈	—	2	16	no	—
517	C₂×D₁₈₈	—	4	8	no	—
518	C₂×D₁₈₈	C₂×D₄	1	8	yes	complemented
519	C₂×D₁₈₈	C₂⁴	1	8	yes	—
520	C₂×D₁₈₈	C₂⁴	1	8	yes	—
521	C₂×D₁₈₈	C₂⁴	1	8	yes	—
522	C₂×D₁₈₈	C₂⁴	1	2	yes	—
523	C₂×D₁₈₈	C₂⁴	1	2	yes	—
524	C₂×D₁₈₈	C₂⁴	1	8	yes	—
525	C₂×D₁₈₈	C₂⁴	1	2	yes	—
526	C₂×D₁₈₈	C₂⁴	1	2	yes	—
527	C₂×C₄×D₄₇	—	2	8	no	—
528	C₂×C₄×D₄₇	—	2	4	no	—
529	C₂×C₄×D₄₇	—	2	4	no	—
530	C₂×C₄×D₄₇	—	2	8	no	—
531	C₂×C₄×D₄₇	—	2	8	no	—
532	C₂×C₄×D₄₇	—	2	8	no	—
533	C₂×C₄×D₄₇	—	2	8	no	—
534	C₂×C₄×D₄₇	—	2	4	no	—
535	C₂×C₄×D₄₇	—	2	4	no	—
536	C₂×C₄×D₄₇	—	2	8	no	—
537	C₂×C₄×D₄₇	—	2	8	no	—
538	C₂×C₄×D₄₇	—	2	32	no	—
539	C₂×C₄×D₄₇	—	2	32	no	—
540	C₂×C₄×D₄₇	—	2	32	no	—
541	C₂×C₄×D₄₇	C₂×D₄	1	16	yes	complemented
542	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
543	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
544	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
545	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
546	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
547	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
548	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
549	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
550	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
551	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
552	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
553	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
554	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
555	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
556	C₂×C₄×D₄₇	C₂⁴	1	16	yes	—
557	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
558	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
559	C₂×Dic₉₄	—	2	4	no	—
560	C₂×Dic₉₄	—	2	8	no	—
561	C₂×Dic₉₄	—	2	16	no	—
562	C₂×Dic₉₄	C₂×D₄	1	8	yes	complemented
563	C₂×Dic₉₄	C₂⁴	1	8	yes	—
564	C₂×Dic₉₄	C₂⁴	1	8	yes	—
565	C₂×Dic₉₄	C₂⁴	1	2	yes	—
566	C₂×Dic₉₄	C₂⁴	1	2	yes	—
567	C₂×Dic₉₄	C₂⁴	1	2	yes	—
568	C₂×Dic₉₄	C₂⁴	1	2	yes	—
569	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
570	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₄₇	C₂⁴	1	16	yes	—
572	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
573	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
574	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
575	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
576	C₄²×C₄₇	C₂⁴	1	4	yes	—
577	C₄²×C₄₇	C₂⁴	1	4	yes	—
578	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
579	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
580	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
581	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
582	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
583	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
584	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
585	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
586	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
587	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
588	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
589	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
590	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
591	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
592	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
593	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
594	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
595	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
596	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
597	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
598	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
599	C₄×Dic₄₇	C₂⁴	1	4	yes	—
600	C₄×Dic₄₇	C₂⁴	1	16	yes	—
601	C₄×Dic₄₇	C₂⁴	1	4	yes	—
602	C₂³×C₄₇	—	2	4	no	—
603	C₂³×C₄₇	—	2	4	no	—
604	C₂³×C₄₇	—	4	2	no	—
605	C₂³×C₄₇	—	4	4	no	—
606	C₂³×C₄₇	—	4	4	no	—
607	C₂³×C₄₇	C₂²×D₄	1	4	yes	—
608	C₂³×C₄₇	C₂⁵	1	4	yes	—
609	C₂³×C₄₇	C₂⁵	1	4	yes	—
610	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
611	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
612	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
613	C₂²×D₄₇	—	2	2	no	—
614	C₂²×D₄₇	—	2	4	no	—
615	C₂²×D₄₇	—	2	2	no	—
616	C₂²×D₄₇	—	2	4	no	—
617	C₂²×D₄₇	—	2	4	no	—
618	C₂²×D₄₇	—	2	4	no	—
619	C₂²×D₄₇	—	2	16	no	—
620	C₂²×D₄₇	—	2	4	no	—
621	C₂²×D₄₇	—	2	16	no	—
622	C₂²×D₄₇	—	2	4	no	—
623	C₂²×D₄₇	—	2	16	no	—
624	C₂²×D₄₇	—	4	4	no	—
625	C₂²×D₄₇	—	4	8	no	—
626	C₂²×D₄₇	—	4	2	no	—
627	C₂²×D₄₇	—	4	2	no	—
628	C₂²×D₄₇	—	4	2	no	—
629	C₂²×D₄₇	—	4	4	no	—
630	C₂²×D₄₇	—	4	16	no	—
631	C₂²×D₄₇	—	4	32	no	—
632	C₂²×D₄₇	—	4	16	no	—
633	C₂²×D₄₇	C₂²×D₄	1	8	yes	—
634	C₂²×D₄₇	C₂⁵	1	4	yes	—
635	C₂²×D₄₇	C₂⁵	1	2	yes	—
636	C₂²×D₄₇	C₂⁵	1	4	yes	—
637	C₂²×D₄₇	C₂⁵	1	2	yes	—
638	Q₈×C₄₇	—	2	4	no	—
639	Q₈×C₄₇	—	2	4	no	—
640	Q₈×C₄₇	—	2	4	no	—
641	Q₈×C₄₇	—	2	4	no	—
642	D₄×C₄₇	—	2	8	no	—
643	D₄×C₄₇	—	2	8	no	—
644	D₄×C₄₇	—	2	8	no	—
645	D₄×C₄₇	—	2	8	no	—
646	D₄×C₄₇	—	2	4	no	—
647	D₄×C₄₇	—	2	4	no	—
648	D₄×C₄₇	—	2	4	no	—
649	D₄×C₄₇	—	2	4	no	—
650	D₄×C₄₇	—	4	16	no	—
651	C₂×C₄×C₄₇	—	2	4	no	—
652	C₂×C₄×C₄₇	—	2	4	no	—
653	C₂×C₄×C₄₇	—	2	8	no	—
654	C₂×C₄×C₄₇	—	2	8	no	—
655	C₂×C₄×C₄₇	—	2	8	no	—
656	C₂×C₄×C₄₇	—	2	8	no	—
657	C₂×C₄×C₄₇	—	4	4	no	—
658	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
659	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
660	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
661	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
662	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
663	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
664	C₂×C₄×C₄₇	C₂⁵	1	8	yes	—
665	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
666	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
667	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
668	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
669	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
670	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
671	C₂²⋊D₄₇	—	2	8	no	—
672	C₂²⋊D₄₇	—	2	8	no	—
673	C₂²⋊D₄₇	—	2	16	no	—
674	C₂²⋊D₄₇	—	2	16	no	—
675	C₂²⋊D₄₇	—	2	16	no	—
676	C₂²⋊D₄₇	—	2	16	no	—
677	C₂²⋊D₄₇	—	2	16	no	—
678	C₂²⋊D₄₇	—	4	16	no	—
679	C₂²⋊D₄₇	—	4	8	no	—
680	C₂²⋊D₄₇	C₂²×D₄	1	16	yes	—
681	C₂²⋊D₄₇	C₂²×D₄	1	16	yes	—
682	C₂×Dic₄₇	—	2	2	no	—
683	C₂×Dic₄₇	—	2	4	no	—
684	C₂×Dic₄₇	—	2	2	no	—
685	C₂×Dic₄₇	—	2	4	no	—
686	C₂×Dic₄₇	—	2	4	no	—
687	C₂×Dic₄₇	—	2	16	no	—
688	C₂×Dic₄₇	—	2	16	no	—
689	C₂×Dic₄₇	—	4	4	no	—
690	C₂×Dic₄₇	C₂²×D₄	1	8	yes	—
691	C₂×Dic₄₇	C₂⁵	1	8	yes	—
692	C₂×Dic₄₇	C₂⁵	1	4	yes	—
693	C₂×Dic₄₇	C₂⁵	1	2	yes	—
694	C₂×Dic₄₇	C₂⁵	1	2	yes	—
695	C₂×Dic₄₇	C₂⁵	1	4	yes	—
696	D₁₈₈	—	2	16	no	—
697	D₁₈₈	—	2	16	no	—
698	D₁₈₈	—	2	16	no	—
699	D₁₈₈	—	2	4	no	—
700	D₁₈₈	—	2	4	no	—
701	D₁₈₈	—	4	8	no	—
702	D₁₈₈	C₂²×D₄	1	8	yes	—
703	D₁₈₈	C₂²×D₄	1	8	yes	—
704	C₄×D₄₇	—	2	16	no	—
705	C₄×D₄₇	—	2	16	no	—
706	C₄×D₄₇	—	2	4	no	—
707	C₄×D₄₇	—	2	4	no	—
708	C₄×D₄₇	—	2	4	no	—
709	C₄×D₄₇	—	2	4	no	—
710	C₄×D₄₇	—	2	8	no	—
711	C₄×D₄₇	—	2	4	no	—
712	C₄×D₄₇	—	2	4	no	—
713	C₄×D₄₇	—	2	4	no	—
714	C₄×D₄₇	—	2	4	no	—
715	C₄×D₄₇	—	2	8	no	—
716	C₄×D₄₇	—	2	16	no	—
717	C₄×D₄₇	—	2	16	no	—
718	C₄×D₄₇	—	4	16	no	—
719	C₄×D₄₇	C₂²×D₄	1	16	yes	—
720	C₄×D₄₇	C₂²×D₄	1	16	yes	—
721	Dic₉₄	—	2	4	no	—
722	Dic₉₄	—	2	4	no	—
723	Dic₉₄	—	2	16	no	—
724	Dic₉₄	—	2	16	no	—
725	Dic₉₄	C₂²×D₄	1	8	yes	—
726	Dic₉₄	C₂²×D₄	1	8	yes	—
727	#62811	—	47	1	no	maximal, Sylow
728	C₂²×C₄₇	—	2	2	no	—
729	C₂²×C₄₇	—	2	2	no	—
730	C₂²×C₄₇	—	2	2	no	—
731	C₂²×C₄₇	—	2	4	no	—
732	C₂²×C₄₇	—	2	4	no	—
733	C₂²×C₄₇	—	2	8	no	—
734	C₂²×C₄₇	—	2	8	no	—
735	C₂²×C₄₇	—	4	4	no	—
736	C₂²×C₄₇	—	4	8	no	—
737	C₂²×C₄₇	—	8	4	no	—
738	C₂²×C₄₇	C₂³×D₄	1	2	yes	—
739	C₂²×C₄₇	C₂³×D₄	1	2	yes	—
740	C₂²×C₄₇	C₂³×D₄	1	2	yes	—
741	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
742	C₂×D₄₇	—	2	8	no	—
743	C₂×D₄₇	—	2	2	no	—
744	C₂×D₄₇	—	2	8	no	—
745	C₂×D₄₇	—	2	2	no	—
746	C₂×D₄₇	—	2	2	no	—
747	C₂×D₄₇	—	2	4	no	—
748	C₂×D₄₇	—	2	8	no	—
749	C₂×D₄₇	—	2	2	no	—
750	C₂×D₄₇	—	2	2	no	—
751	C₂×D₄₇	—	4	8	no	—
752	C₂×D₄₇	—	4	32	no	—
753	C₂×D₄₇	—	4	8	no	—
754	C₂×D₄₇	—	4	8	no	—
755	C₂×D₄₇	—	4	4	no	—
756	C₂×D₄₇	—	8	16	no	—
757	C₂×D₄₇	—	8	4	no	—
758	C₂×D₄₇	C₂³×D₄	1	8	yes	—
759	C₂×D₄₇	#585	1	4	yes	complemented
760	C₄×C₄₇	—	2	4	no	—
761	C₄×C₄₇	—	2	4	no	—
762	C₄×C₄₇	—	2	8	no	—
763	C₄×C₄₇	C₂³×D₄	1	2	yes	—
764	C₄×C₄₇	C₂³×D₄	1	2	yes	—
765	C₄×C₄₇	C₂³×D₄	1	2	yes	—
766	C₄×C₄₇	C₂³×D₄	1	2	yes	—
767	Dic₄₇	—	2	4	no	—
768	Dic₄₇	—	2	2	no	—
769	Dic₄₇	—	2	2	no	—
770	Dic₄₇	—	2	8	no	—
771	Dic₄₇	C₂³×D₄	1	8	yes	—
772	C₂×#585	—	47	1	no	—
773	C₂³×#41	—	47	1	no	—
774	#3489	—	47	4	no	—
775	#3489	—	47	4	no	—
776	#3488	—	47	4	no	—
777	#3488	—	47	4	no	—
778	#3487	—	47	2	no	—
779	#3486	—	47	2	no	—
780	#3485	—	47	2	no	—
781	#3485	—	47	4	no	—
782	#3484	—	47	2	no	—
783	#3484	—	47	4	no	—
784	D₄×#41	—	47	8	no	—
785	D₄×#41	—	47	8	no	—
786	#3449	—	47	1	no	—
787	#3449	—	47	4	no	—
788	#3449	D₄₇	1	1	yes	characteristic, complemented
789	C₂×#525	—	47	1	no	—
790	C₂×#525	—	47	4	no	—
791	C₂×#525	—	47	1	no	—
792	#3428	—	47	1	no	—
793	C₂×C₄₇	—	2	2	no	—
794	C₂×C₄₇	—	2	2	no	—
795	C₂×C₄₇	—	2	2	no	—
796	C₂×C₄₇	—	4	4	no	—
797	C₂×C₄₇	—	4	4	no	—
798	C₂×C₄₇	C₂⁴×D₄	1	1	yes	characteristic
799	C₂×C₄₇	C₂×#585	1	2	yes	—
800	D₄₇	—	2	4	no	—
801	D₄₇	—	2	8	no	—
802	D₄₇	—	4	2	no	—
803	D₄₇	—	4	4	no	—
804	#585	—	94	16	no	—
805	C₂×2₋¹⁺⁴	—	47	2	no	—
806	C₂×2₋¹⁺⁴	—	47	2	no	—
807	C₂×2₋¹⁺⁴	—	47	2	no	—
808	C₂×H(5,𝔽₂)	—	47	2	no	—
809	C₂×H(5,𝔽₂)	—	47	2	no	—
810	C₂×H(5,𝔽₂)	—	47	4	no	—
811	C₂×H(5,𝔽₂)	—	47	2	no	—
812	C₂²×#41	—	47	4	no	—
813	C₂²×#41	—	47	4	no	—
814	C₂²×#41	—	47	4	no	—
815	C₂²×#41	—	47	4	no	—
816	C₂²×#41	—	47	4	no	—
817	C₂²×#41	—	47	4	no	—
818	C₂²×#41	—	47	1	no	—
819	C₂²×#41	—	47	2	no	—
820	C₂²×#41	—	47	1	no	—
821	C₂²×#41	—	47	1	no	—
822	C₂²×#41	—	47	2	no	—
823	C₂²×#41	—	47	1	no	—
824	C₂²×#41	—	47	4	no	—
825	C₂²×#41	—	94	16	no	—
826	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
827	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
828	C₂³×Q₈	—	47	1	no	—
829	C₂³×D₄	—	47	2	no	—
830	C₂³×D₄	—	47	1	no	—
831	C₂⁴×C₄	—	47	2	no	—
832	C₂⁴×C₄	—	47	1	no	—
833	#550	—	47	8	no	—
834	#550	—	47	8	no	—
835	D₄×Q₈	—	47	8	no	—
836	D₄×Q₈	—	47	8	no	—
837	#548	—	47	8	no	—
838	#548	—	47	8	no	—
839	#548	—	47	8	no	—
840	#548	—	47	8	no	—
841	#547	—	47	8	no	—
842	#547	—	47	16	no	—
843	#547	—	47	8	no	—
844	#547	—	47	16	no	—
845	#546	—	47	8	no	—
846	#546	—	47	8	no	—
847	#546	—	47	16	no	—
848	#546	—	47	8	no	—
849	#546	—	47	16	no	—
850	#546	—	47	16	no	—
851	#546	—	47	8	no	—
852	#546	—	47	16	no	—
853	D₄²	—	47	8	no	—
854	D₄²	—	47	8	no	—
855	D₄²	—	47	16	no	—
856	D₄²	—	47	16	no	—
857	#537	—	47	4	no	—
858	#537	—	47	8	no	—
859	#537	—	47	8	no	—
860	#537	C₂×D₄₇	1	4	yes	complemented
861	#536	—	47	2	no	—
862	#536	—	47	2	no	—
863	#536	—	47	8	no	—
864	#536	—	47	8	no	—
865	#536	C₂×D₄₇	1	2	yes	complemented
866	#536	C₂×D₄₇	1	2	yes	complemented
867	#535	—	47	2	no	—
868	#535	—	47	2	no	—
869	#535	—	47	8	no	—
870	#535	—	47	8	no	—
871	#535	C₂×D₄₇	1	2	yes	complemented
872	#535	C₂×D₄₇	1	2	yes	complemented
873	#534	—	47	4	no	—
874	#534	—	47	8	no	—
875	#534	—	47	8	no	—
876	#534	C₂×D₄₇	1	4	yes	complemented
877	#532	—	47	4	no	—
878	#532	—	47	16	no	—
879	#532	C₂×D₄₇	1	4	yes	complemented
880	#525	—	47	2	no	—
881	#525	—	47	2	no	—
882	#525	—	47	2	no	—
883	#525	—	47	2	no	—
884	#525	—	47	4	no	—
885	#525	—	47	4	no	—
886	#525	—	47	4	no	—
887	#525	—	47	4	no	—
888	#525	—	47	8	no	—
889	#525	—	47	8	no	—
890	#525	—	47	8	no	—
891	#525	—	47	8	no	—
892	#525	—	47	16	no	—
893	#525	—	47	16	no	—
894	#525	—	47	2	no	—
895	#525	—	47	2	no	—
896	#525	—	47	2	no	—
897	#525	—	47	2	no	—
898	#525	—	47	4	no	—
899	#525	—	47	4	no	—
900	#525	C₂×D₄₇	1	4	yes	complemented
901	#525	C₂×D₄₇	1	4	yes	complemented
902	C₂×#123	—	47	2	no	—
903	C₂×#123	—	47	8	no	—
904	C₂×#123	—	47	2	no	—
905	C₂×C₂²⋊Q₈	—	47	2	no	—
906	C₂×C₂²⋊Q₈	—	47	8	no	—
907	C₂×C₂²⋊Q₈	—	47	2	no	—
908	C₂×#121	—	47	2	no	—
909	C₂×#121	—	47	8	no	—
910	C₂×#121	—	47	2	no	—
911	C₂×#120	—	47	2	no	—
912	C₂×#120	—	47	8	no	—
913	C₂×#120	—	47	2	no	—
914	#520	—	47	4	no	—
915	#520	—	47	4	no	—
916	#519	—	47	2	no	—
917	#518	—	47	2	no	—
918	#518	—	47	4	no	—
919	C₄×#41	—	47	4	no	—
920	C₄×#41	—	47	4	no	—
921	C₂×C₄×D₄	—	47	4	no	—
922	C₂×C₄×D₄	—	47	16	no	—
923	C₂×C₄×D₄	—	47	4	no	—
924	C₂×#117	—	47	1	no	—
925	C₂×#117	—	47	4	no	—
926	C₂×#117	C₂×D₄₇	1	1	yes	characteristic, complemented
927	C₄₇	#62811	1	1	yes	characteristic, complemented, Sylow
928	C₂⁵	—	47	2	no	—
929	C₂⁵	—	47	1	no	—
930	2₋¹⁺⁴	—	94	16	no	—
931	2₋¹⁺⁴	—	94	16	no	—
932	2₋¹⁺⁴	—	94	16	no	—
933	H(5,𝔽₂)	—	94	32	no	—
934	H(5,𝔽₂)	—	94	16	no	—
935	H(5,𝔽₂)	—	94	16	no	—
936	H(5,𝔽₂)	—	94	16	no	—
937	C₂×#41	—	2	8	no	—
938	C₂×#41	—	2	8	no	—
939	C₂×#41	—	47	4	no	—
940	C₂×#41	—	47	4	no	—
941	C₂×#41	—	47	4	no	—
942	C₂×#41	—	47	4	no	—
943	C₂×#41	—	47	8	no	—
944	C₂×#41	—	47	4	no	—
945	C₂×#41	—	47	8	no	—
946	C₂×#41	—	47	8	no	—
947	C₂×#41	—	47	8	no	—
948	C₂×#41	—	47	4	no	—
949	C₂×#41	—	47	4	no	—
950	C₂×#41	—	47	4	no	—
951	C₂×#41	—	47	16	no	—
952	C₂×#41	—	47	2	no	—
953	C₂×#41	—	47	2	no	—
954	C₂×#41	—	47	2	no	—
955	C₂×#41	—	47	2	no	—
956	C₂×#41	—	47	2	no	—
957	C₂×#41	—	47	8	no	—
958	C₂×#41	—	47	8	no	—
959	C₂×#41	—	47	2	no	—
960	C₂×#41	—	47	2	no	—
961	C₂×#41	—	47	2	no	—
962	C₂×#41	—	47	8	no	—
963	C₂×#41	—	47	4	no	—
964	C₂×#41	—	47	8	no	—
965	C₂×#41	—	47	4	no	—
966	C₂×#41	—	94	16	no	—
967	C₂×#41	—	94	32	no	—
968	C₂×#41	—	94	32	no	—
969	C₂×#41	—	94	16	no	—
970	C₂×#41	—	94	8	no	—
971	C₂×#41	—	94	8	no	—
972	C₂×#41	—	94	32	no	—
973	C₂×#41	—	94	32	no	—
974	C₂×#41	—	94	32	no	—
975	C₂×#41	—	94	32	no	—
976	C₂×#41	—	94	32	no	—
977	C₂×#41	—	94	8	no	—
978	C₂×#41	C₂²×D₄₇	1	2	yes	—
979	C₂×#41	C₂²×D₄₇	1	2	yes	—
980	C₂×#41	C₂²×D₄₇	1	2	yes	—
981	C₂×#41	C₂²×D₄₇	1	2	yes	—
982	C₂×#41	C₂²×D₄₇	1	2	yes	—
983	C₂×#41	C₂²×D₄₇	1	2	yes	—
984	C₂×#41	C₂²×D₄₇	1	2	yes	complemented
985	C₂×#41	C₂²×D₄₇	1	2	yes	complemented
986	C₂²×Q₈	—	47	4	no	—
987	C₂²×Q₈	—	47	4	no	—
988	C₂²×Q₈	—	47	4	no	—
989	C₂²×Q₈	—	47	4	no	—
990	C₂²×Q₈	—	47	1	no	—
991	C₂²×Q₈	—	47	1	no	—
992	C₂²×Q₈	—	47	2	no	—
993	C₂²×Q₈	—	47	4	no	—
994	C₂²×Q₈	—	94	8	no	—
995	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
996	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic, complemented
997	C₂²×D₄	—	47	2	no	—
998	C₂²×D₄	—	47	2	no	—
999	C₂²×D₄	—	47	2	no	—
1000	C₂²×D₄	—	47	2	no	—
1001	C₂²×D₄	—	47	8	no	—
1002	C₂²×D₄	—	47	4	no	—
1003	C₂²×D₄	—	47	8	no	—
1004	C₂²×D₄	—	47	4	no	—
1005	C₂²×D₄	—	47	8	no	—
1006	C₂²×D₄	—	47	8	no	—
1007	C₂²×D₄	—	47	4	no	—
1008	C₂²×D₄	—	47	4	no	—
1009	C₂²×D₄	—	47	8	no	—
1010	C₂²×D₄	—	47	4	no	—
1011	C₂²×D₄	—	47	16	no	—
1012	C₂²×D₄	—	47	1	no	—
1013	C₂²×D₄	—	47	1	no	—
1014	C₂²×D₄	—	47	2	no	—
1015	C₂²×D₄	—	47	4	no	—
1016	C₂²×D₄	—	47	4	no	—
1017	C₂²×D₄	—	94	16	no	—
1018	C₂²×D₄	—	94	8	no	—
1019	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
1020	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
1021	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1022	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic, complemented
1023	C₂³×C₄	—	47	2	no	—
1024	C₂³×C₄	—	47	1	no	—
1025	C₂³×C₄	—	47	2	no	—
1026	C₂³×C₄	—	47	8	no	—
1027	C₂³×C₄	—	47	2	no	—
1028	C₂³×C₄	—	47	2	no	—
1029	C₂³×C₄	—	47	8	no	—
1030	C₂³×C₄	—	47	2	no	—
1031	C₂³×C₄	—	47	8	no	—
1032	C₂³×C₄	—	47	2	no	—
1033	C₂³×C₄	—	47	2	no	—
1034	C₂³×C₄	—	47	2	no	—
1035	C₂³×C₄	—	47	1	no	—
1036	C₂³×C₄	—	47	2	no	—
1037	C₂³×C₄	—	47	1	no	—
1038	C₂³×C₄	—	47	1	no	—
1039	C₂³×C₄	—	47	1	no	—
1040	C₂³×C₄	—	94	16	no	—
1041	C₂³×C₄	—	94	8	no	—
1042	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
1043	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1044	C₂³×C₄	C₂²×D₄₇	1	2	yes	complemented
1045	C₄⋊Q₈	—	47	4	no	—
1046	C₄⋊Q₈	—	47	16	no	—
1047	C₄⋊Q₈	C₂²×D₄₇	1	4	yes	complemented
1048	#127	—	47	16	no	—
1049	#127	—	47	4	no	—
1050	#127	C₂²×D₄₇	1	4	yes	complemented
1051	#124	—	47	4	no	—
1052	#124	—	47	4	no	—
1053	#124	—	47	16	no	—
1054	#124	—	47	16	no	—
1055	#124	C₂²×D₄₇	1	4	yes	complemented
1056	#124	C₂²×D₄₇	1	4	yes	complemented
1057	#123	—	47	4	no	—
1058	#123	—	47	4	no	—
1059	#123	—	47	8	no	—
1060	#123	—	47	8	no	—
1061	#123	—	47	8	no	—
1062	#123	—	47	16	no	—
1063	#123	—	47	16	no	—
1064	#123	—	47	4	no	—
1065	#123	—	47	4	no	—
1066	#123	—	47	16	no	—
1067	#123	—	47	8	no	—
1068	#123	—	47	16	no	—
1069	#123	C₂²×D₄₇	1	8	yes	—
1070	#123	C₂²×D₄₇	1	8	yes	complemented
1071	C₂²⋊Q₈	—	47	4	no	—
1072	C₂²⋊Q₈	—	47	4	no	—
1073	C₂²⋊Q₈	—	47	4	no	—
1074	C₂²⋊Q₈	—	47	4	no	—
1075	C₂²⋊Q₈	—	47	8	no	—
1076	C₂²⋊Q₈	—	47	8	no	—
1077	C₂²⋊Q₈	—	47	4	no	—
1078	C₂²⋊Q₈	—	47	4	no	—
1079	C₂²⋊Q₈	—	47	16	no	—
1080	C₂²⋊Q₈	—	47	4	no	—
1081	C₂²⋊Q₈	—	47	4	no	—
1082	C₂²⋊Q₈	—	47	16	no	—
1083	C₂²⋊Q₈	—	47	16	no	—
1084	C₂²⋊Q₈	—	47	16	no	—
1085	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
1086	C₂²⋊Q₈	C₂²×D₄₇	1	8	yes	complemented
1087	#121	—	47	4	no	—
1088	#121	—	47	4	no	—
1089	#121	—	47	4	no	—
1090	#121	—	47	4	no	—
1091	#121	—	47	16	no	—
1092	#121	—	47	8	no	—
1093	#121	—	47	16	no	—
1094	#121	—	47	16	no	—
1095	#121	—	47	16	no	—
1096	#121	—	47	8	no	—
1097	#121	—	47	4	no	—
1098	#121	—	47	4	no	—
1099	#121	—	47	4	no	—
1100	#121	—	47	4	no	—
1101	#121	—	47	16	no	—
1102	#121	—	47	16	no	—
1103	#121	—	47	16	no	—
1104	#121	—	47	16	no	—
1105	#121	—	47	16	no	—
1106	#121	C₂²×D₄₇	1	8	yes	complemented
1107	#121	C₂²×D₄₇	1	8	yes	complemented
1108	#121	C₂²×D₄₇	1	16	yes	complemented
1109	#120	—	47	8	no	—
1110	#120	—	47	4	no	—
1111	#120	—	47	4	no	—
1112	#120	—	47	8	no	—
1113	#120	—	47	16	no	—
1114	#120	—	47	8	no	—
1115	#120	—	47	16	no	—
1116	#120	—	47	4	no	—
1117	#120	—	47	4	no	—
1118	#120	—	47	16	no	—
1119	#120	—	47	8	no	—
1120	#120	—	47	16	no	—
1121	#120	C₂²×D₄₇	1	8	yes	—
1122	#120	C₂²×D₄₇	1	8	yes	complemented
1123	C₄×Q₈	—	47	8	no	—
1124	C₄×Q₈	—	47	8	no	—
1125	C₄×D₄	—	47	16	no	—
1126	C₄×D₄	—	47	8	no	—
1127	C₄×D₄	—	47	16	no	—
1128	C₄×D₄	—	47	8	no	—
1129	C₄×D₄	—	47	8	no	—
1130	C₄×D₄	—	47	8	no	—
1131	C₄×D₄	—	47	16	no	—
1132	C₄×D₄	—	47	16	no	—
1133	C₄×D₄	—	47	8	no	—
1134	C₄×D₄	—	47	16	no	—
1135	C₄×D₄	—	47	16	no	—
1136	C₄×D₄	—	47	16	no	—
1137	C₄×D₄	—	47	8	no	—
1138	C₄×D₄	—	47	8	no	—
1139	C₄×D₄	—	47	8	no	—
1140	C₄×D₄	—	47	8	no	—
1141	C₄×D₄	—	47	8	no	—
1142	C₄×D₄	C₂²×D₄₇	1	16	yes	complemented
1143	#117	—	47	2	no	—
1144	#117	—	47	2	no	—
1145	#117	—	47	2	no	—
1146	#117	—	47	2	no	—
1147	#117	—	47	8	no	—
1148	#117	—	47	8	no	—
1149	#117	—	47	8	no	—
1150	#117	C₂²×D₄₇	1	2	yes	—
1151	#117	C₂²×D₄₇	1	2	yes	—
1152	#117	C₂²×D₄₇	1	2	yes	complemented
1153	#117	C₂²×D₄₇	1	2	yes	complemented
1154	C₂×C₄⋊C₄	—	47	2	no	—
1155	C₂×C₄⋊C₄	—	47	4	no	—
1156	C₂×C₄⋊C₄	—	47	4	no	—
1157	C₂×C₄⋊C₄	—	47	8	no	—
1158	C₂×C₄⋊C₄	—	47	16	no	—
1159	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	complemented
1160	C₂×C₂²⋊C₄	—	47	2	no	—
1161	C₂×C₂²⋊C₄	—	47	4	no	—
1162	C₂×C₂²⋊C₄	—	47	4	no	—
1163	C₂×C₂²⋊C₄	—	47	4	no	—
1164	C₂×C₂²⋊C₄	—	47	4	no	—
1165	C₂×C₂²⋊C₄	—	47	8	no	—
1166	C₂×C₂²⋊C₄	—	47	16	no	—
1167	C₂×C₂²⋊C₄	—	47	16	no	—
1168	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
1169	C₂×C₄²	—	47	2	no	—
1170	C₂×C₄²	—	47	8	no	—
1171	C₂×C₄²	C₂²×D₄₇	1	2	yes	complemented
1172	C₂⁴	—	47	2	no	—
1173	C₂⁴	—	47	1	no	—
1174	C₂⁴	—	47	8	no	—
1175	C₂⁴	—	47	2	no	—
1176	C₂⁴	—	47	2	no	—
1177	C₂⁴	—	47	8	no	—
1178	C₂⁴	—	47	2	no	—
1179	C₂⁴	—	47	1	no	—
1180	C₂⁴	—	94	8	no	—
1181	C₂⁴	—	94	4	no	—
1182	C₂⁴	—	188	4	no	—
1183	C₂⁴	—	188	8	no	—
1184	C₂⁴	C₂³×D₄₇	1	2	yes	—
1185	C₂⁴	C₂³×D₄₇	1	2	yes	—
1186	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1187	#41	—	2	8	no	—
1188	#41	—	2	8	no	—
1189	#41	—	2	8	no	—
1190	#41	—	2	8	no	—
1191	#41	—	2	8	no	—
1192	#41	—	2	8	no	—
1193	#41	—	2	8	no	—
1194	#41	—	2	8	no	—
1195	#41	—	47	16	no	—
1196	#41	—	47	16	no	—
1197	#41	—	47	16	no	—
1198	#41	—	47	16	no	—
1199	#41	—	94	32	no	—
1200	#41	—	94	32	no	—
1201	#41	—	94	32	no	—
1202	#41	—	94	32	no	—
1203	#41	—	94	16	no	—
1204	#41	—	94	16	no	—
1205	#41	—	94	32	no	—
1206	#41	—	94	16	no	—
1207	#41	—	94	16	no	—
1208	#41	—	94	32	no	—
1209	#41	—	94	32	no	—
1210	#41	—	94	32	no	—
1211	#41	—	94	16	no	—
1212	#41	—	94	16	no	—
1213	#41	—	94	16	no	—
1214	#41	—	94	16	no	—
1215	#41	—	94	16	no	—
1216	#41	—	94	16	no	—
1217	#41	—	94	8	no	—
1218	#41	—	94	8	no	—
1219	#41	—	94	8	no	—
1220	#41	—	94	8	no	—
1221	C₂×Q₈	—	2	4	no	—
1222	C₂×Q₈	—	2	4	no	—
1223	C₂×Q₈	—	47	8	no	—
1224	C₂×Q₈	—	47	2	no	—
1225	C₂×Q₈	—	47	2	no	—
1226	C₂×Q₈	—	47	2	no	—
1227	C₂×Q₈	—	47	8	no	—
1228	C₂×Q₈	—	47	8	no	—
1229	C₂×Q₈	—	47	2	no	—
1230	C₂×Q₈	—	94	8	no	—
1231	C₂×Q₈	—	94	16	no	—
1232	C₂×Q₈	—	94	16	no	—
1233	C₂×Q₈	—	94	16	no	—
1234	C₂×Q₈	—	94	16	no	—
1235	C₂×Q₈	—	94	16	no	—
1236	C₂×Q₈	—	94	4	no	—
1237	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1238	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1239	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1240	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1241	C₂×D₄	—	2	8	no	—
1242	C₂×D₄	—	2	8	no	—
1243	C₂×D₄	—	2	4	no	—
1244	C₂×D₄	—	2	4	no	—
1245	C₂×D₄	—	47	16	no	—
1246	C₂×D₄	—	47	4	no	—
1247	C₂×D₄	—	47	4	no	—
1248	C₂×D₄	—	47	8	no	—
1249	C₂×D₄	—	47	4	no	—
1250	C₂×D₄	—	47	8	no	—
1251	C₂×D₄	—	47	8	no	—
1252	C₂×D₄	—	47	4	no	—
1253	C₂×D₄	—	47	8	no	—
1254	C₂×D₄	—	47	8	no	—
1255	C₂×D₄	—	47	16	no	—
1256	C₂×D₄	—	47	8	no	—
1257	C₂×D₄	—	47	8	no	—
1258	C₂×D₄	—	47	2	no	—
1259	C₂×D₄	—	47	2	no	—
1260	C₂×D₄	—	47	8	no	—
1261	C₂×D₄	—	47	8	no	—
1262	C₂×D₄	—	47	8	no	—
1263	C₂×D₄	—	47	2	no	—
1264	C₂×D₄	—	47	2	no	—
1265	C₂×D₄	—	47	8	no	—
1266	C₂×D₄	—	94	16	no	—
1267	C₂×D₄	—	94	8	no	—
1268	C₂×D₄	—	94	16	no	—
1269	C₂×D₄	—	94	8	no	—
1270	C₂×D₄	—	94	32	no	—
1271	C₂×D₄	—	94	32	no	—
1272	C₂×D₄	—	94	16	no	—
1273	C₂×D₄	—	94	16	no	—
1274	C₂×D₄	—	94	32	no	—
1275	C₂×D₄	—	94	16	no	—
1276	C₂×D₄	—	94	32	no	—
1277	C₂×D₄	—	94	32	no	—
1278	C₂×D₄	—	94	8	no	—
1279	C₂×D₄	—	94	8	no	—
1280	C₂×D₄	—	94	4	no	—
1281	C₂×D₄	—	188	8	no	—
1282	C₂×D₄	—	188	32	no	—
1283	C₂×D₄	—	188	8	no	—
1284	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1285	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1286	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1287	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1288	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1289	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1290	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1291	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1292	C₂×D₄	C₂³×D₄₇	1	16	yes	—
1293	C₂²×C₄	—	2	8	no	—
1294	C₂²×C₄	—	2	8	no	—
1295	C₂²×C₄	—	47	2	no	—
1296	C₂²×C₄	—	47	16	no	—
1297	C₂²×C₄	—	47	4	no	—
1298	C₂²×C₄	—	47	4	no	—
1299	C₂²×C₄	—	47	2	no	—
1300	C₂²×C₄	—	47	2	no	—
1301	C₂²×C₄	—	47	2	no	—
1302	C₂²×C₄	—	47	8	no	—
1303	C₂²×C₄	—	47	8	no	—
1304	C₂²×C₄	—	47	1	no	—
1305	C₂²×C₄	—	47	1	no	—
1306	C₂²×C₄	—	47	4	no	—
1307	C₂²×C₄	—	47	8	no	—
1308	C₂²×C₄	—	47	8	no	—
1309	C₂²×C₄	—	47	8	no	—
1310	C₂²×C₄	—	47	2	no	—
1311	C₂²×C₄	—	47	2	no	—
1312	C₂²×C₄	—	47	2	no	—
1313	C₂²×C₄	—	47	2	no	—
1314	C₂²×C₄	—	47	8	no	—
1315	C₂²×C₄	—	47	4	no	—
1316	C₂²×C₄	—	47	2	no	—
1317	C₂²×C₄	—	47	2	no	—
1318	C₂²×C₄	—	47	2	no	—
1319	C₂²×C₄	—	47	4	no	—
1320	C₂²×C₄	—	47	2	no	—
1321	C₂²×C₄	—	47	16	no	—
1322	C₂²×C₄	—	94	8	no	—
1323	C₂²×C₄	—	94	32	no	—
1324	C₂²×C₄	—	94	32	no	—
1325	C₂²×C₄	—	94	32	no	—
1326	C₂²×C₄	—	94	8	no	—
1327	C₂²×C₄	—	94	8	no	—
1328	C₂²×C₄	—	94	4	no	—
1329	C₂²×C₄	—	94	4	no	—
1330	C₂²×C₄	—	94	4	no	—
1331	C₂²×C₄	—	94	4	no	—
1332	C₂²×C₄	—	94	4	no	—
1333	C₂²×C₄	—	94	8	no	—
1334	C₂²×C₄	—	94	8	no	—
1335	C₂²×C₄	—	94	8	no	—
1336	C₂²×C₄	—	94	8	no	—
1337	C₂²×C₄	—	94	8	no	—
1338	C₂²×C₄	D₄×D₄₇	1	8	yes	complemented
1339	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1340	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1341	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1342	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1343	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1344	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1345	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1346	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1347	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1349	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1350	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1351	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1352	C₄⋊C₄	—	47	8	no	—
1353	C₄⋊C₄	—	47	16	no	—
1354	C₄⋊C₄	—	47	16	no	—
1355	C₄⋊C₄	—	47	8	no	—
1356	C₄⋊C₄	—	47	4	no	—
1357	C₄⋊C₄	—	47	8	no	—
1358	C₄⋊C₄	—	47	4	no	—
1359	C₄⋊C₄	—	47	8	no	—
1360	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1361	C₄⋊C₄	C₂³×D₄₇	1	16	yes	—
1362	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1363	C₂²⋊C₄	—	47	4	no	—
1364	C₂²⋊C₄	—	47	8	no	—
1365	C₂²⋊C₄	—	47	4	no	—
1366	C₂²⋊C₄	—	47	16	no	—
1367	C₂²⋊C₄	—	47	8	no	—
1368	C₂²⋊C₄	—	47	8	no	—
1369	C₂²⋊C₄	—	47	8	no	—
1370	C₂²⋊C₄	—	47	8	no	—
1371	C₂²⋊C₄	—	47	16	no	—
1372	C₂²⋊C₄	—	47	16	no	—
1373	C₂²⋊C₄	—	47	8	no	—
1374	C₂²⋊C₄	—	47	8	no	—
1375	C₂²⋊C₄	—	47	8	no	—
1376	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1377	C₂²⋊C₄	C₂³×D₄₇	1	16	yes	—
1378	C₂²⋊C₄	C₂³×D₄₇	1	16	yes	—
1379	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1380	C₄²	—	47	16	no	—
1381	C₄²	—	47	4	no	—
1382	C₄²	—	47	4	no	—
1383	C₄²	C₂³×D₄₇	1	4	yes	—
1384	C₄²	C₂³×D₄₇	1	4	yes	—
1385	C₂³	—	2	4	no	—
1386	C₂³	—	2	4	no	—
1387	C₂³	—	4	2	no	—
1388	C₂³	—	4	4	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	47	2	no	—
1391	C₂³	—	47	4	no	—
1392	C₂³	—	47	8	no	—
1393	C₂³	—	47	4	no	—
1394	C₂³	—	47	2	no	—
1395	C₂³	—	94	4	no	—
1396	C₂³	—	94	16	no	—
1397	C₂³	—	94	16	no	—
1398	C₂³	—	94	4	no	—
1399	C₂³	—	94	4	no	—
1400	C₂³	—	94	16	no	—
1401	C₂³	—	94	2	no	—
1402	C₂³	—	94	4	no	—
1403	C₂³	—	94	4	no	—
1404	C₂³	—	94	4	no	—
1405	C₂³	—	94	2	no	—
1406	C₂³	—	188	4	no	—
1407	C₂³	—	188	16	no	—
1408	C₂³	—	188	2	no	—
1409	C₂³	—	188	2	no	—
1410	C₂³	—	188	4	no	—
1411	C₂³	—	188	2	no	—
1412	C₂³	—	188	8	no	—
1413	C₂³	—	188	16	no	—
1414	C₂³	—	188	32	no	—
1415	C₂³	C₂×D₄×D₄₇	1	4	yes	—
1416	C₂³	C₂⁴×D₄₇	1	4	yes	—
1417	C₂³	C₂⁴×D₄₇	1	4	yes	—
1418	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1419	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1420	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1421	Q₈	—	2	4	no	—
1422	Q₈	—	2	4	no	—
1423	Q₈	—	2	4	no	—
1424	Q₈	—	2	4	no	—
1425	Q₈	—	47	8	no	—
1426	Q₈	—	47	8	no	—
1427	Q₈	—	94	16	no	—
1428	Q₈	—	94	16	no	—
1429	Q₈	—	94	4	no	—
1430	Q₈	—	94	4	no	—
1431	D₄	—	2	8	no	—
1432	D₄	—	2	8	no	—
1433	D₄	—	2	8	no	—
1434	D₄	—	2	8	no	—
1435	D₄	—	2	4	no	—
1436	D₄	—	2	4	no	—
1437	D₄	—	2	4	no	—
1438	D₄	—	2	4	no	—
1439	D₄	—	4	16	no	—
1440	D₄	—	47	16	no	—
1441	D₄	—	47	16	no	—
1442	D₄	—	47	8	no	—
1443	D₄	—	47	8	no	—
1444	D₄	—	94	16	no	—
1445	D₄	—	94	16	no	—
1446	D₄	—	94	16	no	—
1447	D₄	—	94	16	no	—
1448	D₄	—	94	16	no	—
1449	D₄	—	94	16	no	—
1450	D₄	—	94	16	no	—
1451	D₄	—	94	16	no	—
1452	D₄	—	94	8	no	—
1453	D₄	—	94	8	no	—
1454	D₄	—	94	4	no	—
1455	D₄	—	94	4	no	—
1456	D₄	—	188	8	no	—
1457	D₄	—	188	8	no	—
1458	D₄	—	188	16	no	—
1459	C₂×C₄	—	2	4	no	—
1460	C₂×C₄	—	2	4	no	—
1461	C₂×C₄	—	2	8	no	—
1462	C₂×C₄	—	2	8	no	—
1463	C₂×C₄	—	2	8	no	—
1464	C₂×C₄	—	2	8	no	—
1465	C₂×C₄	—	4	4	no	—
1466	C₂×C₄	—	47	8	no	—
1467	C₂×C₄	—	47	4	no	—
1468	C₂×C₄	—	47	16	no	—
1469	C₂×C₄	—	47	16	no	—
1470	C₂×C₄	—	47	8	no	—
1471	C₂×C₄	—	47	2	no	—
1472	C₂×C₄	—	47	4	no	—
1473	C₂×C₄	—	47	2	no	—
1474	C₂×C₄	—	94	16	no	—
1475	C₂×C₄	—	94	16	no	—
1476	C₂×C₄	—	94	16	no	—
1477	C₂×C₄	—	94	16	no	—
1478	C₂×C₄	—	94	16	no	—
1479	C₂×C₄	—	94	16	no	—
1480	C₂×C₄	—	94	2	no	—
1481	C₂×C₄	—	94	2	no	—
1482	C₂×C₄	—	94	4	no	—
1483	C₂×C₄	—	94	4	no	—
1484	C₂×C₄	—	94	4	no	—
1485	C₂×C₄	—	94	4	no	—
1486	C₂×C₄	—	94	4	no	—
1487	C₂×C₄	—	94	4	no	—
1488	C₂×C₄	—	94	4	no	—
1489	C₂×C₄	—	94	4	no	—
1490	C₂×C₄	—	94	4	no	—
1491	C₂×C₄	—	94	8	no	—
1492	C₂×C₄	—	94	4	no	—
1493	C₂×C₄	—	94	4	no	—
1494	C₂×C₄	—	94	8	no	—
1495	C₂×C₄	—	188	16	no	—
1496	C₂×C₄	—	188	4	no	—
1497	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
1498	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
1499	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
1500	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
1501	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
1502	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
1503	C₂×C₄	C₂⁴×D₄₇	1	8	yes	—
1504	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1505	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1506	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1507	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1508	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1509	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	2	4	no	—
1514	C₂²	—	2	4	no	—
1515	C₂²	—	2	8	no	—
1516	C₂²	—	2	8	no	—
1517	C₂²	—	4	4	no	—
1518	C₂²	—	4	8	no	—
1519	C₂²	—	8	4	no	—
1520	C₂²	—	47	8	no	—
1521	C₂²	—	47	4	no	—
1522	C₂²	—	94	8	no	—
1523	C₂²	—	94	2	no	—
1524	C₂²	—	94	8	no	—
1525	C₂²	—	94	2	no	—
1526	C₂²	—	94	4	no	—
1527	C₂²	—	94	2	no	—
1528	C₂²	—	94	8	no	—
1529	C₂²	—	94	2	no	—
1530	C₂²	—	94	2	no	—
1531	C₂²	—	376	4	no	—
1532	C₂²	—	376	16	no	—
1533	C₂²	—	188	8	no	—
1534	C₂²	—	188	8	no	—
1535	C₂²	—	188	8	no	—
1536	C₂²	—	188	4	no	—
1537	C₂²	—	188	32	no	—
1538	C₂²	C₂²×D₄×D₄₇	1	2	yes	—
1539	C₂²	C₂²×D₄×D₄₇	1	2	yes	—
1540	C₂²	C₂²×D₄×D₄₇	1	2	yes	—
1541	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1542	C₄	—	2	4	no	—
1543	C₄	—	2	4	no	—
1544	C₄	—	2	8	no	—
1545	C₄	—	47	8	no	—
1546	C₄	—	94	2	no	—
1547	C₄	—	94	4	no	—
1548	C₄	—	94	2	no	—
1549	C₄	—	94	8	no	—
1550	C₄	C₂²×D₄×D₄₇	1	2	yes	—
1551	C₄	C₂²×D₄×D₄₇	1	2	yes	—
1552	C₄	C₂²×D₄×D₄₇	1	2	yes	—
1553	C₄	C₂²×D₄×D₄₇	1	2	yes	—
1554	C₂	—	2	2	no	—
1555	C₂	—	2	2	no	—
1556	C₂	—	2	2	no	—
1557	C₂	—	4	4	no	—
1558	C₂	—	4	4	no	—
1559	C₂	—	94	4	no	—
1560	C₂	—	94	8	no	—
1561	C₂	—	188	4	no	—
1562	C₂	—	188	2	no	—
1563	C₂	C₂³×D₄×D₄₇	1	1	yes	characteristic
1564	C₂	#585×D₄₇	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₄₇
commutator, socle, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₄₇×#3449	C₂
hypercenter	#3449	D₄₇
hypocenter	C₄₇	#62811
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #3449

Complements

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

N	H ≅ G/N	type
1. C₂×#15689959	C₂	semidirect
2. C₂²×#41×D₄₇	C₂	semidirect
3. #20257066	C₂	semidirect
4. #20257063	C₂	semidirect
5. #20257055	C₂	semidirect
6. #20257052	C₂	semidirect
7. #20257044	C₂	semidirect
8. #20257037	C₂	semidirect
9. #20257031	C₂	semidirect
10. #20257029	C₂	semidirect
11. #20257022	C₂	semidirect
12. #20257020	C₂	semidirect
13. #20256874	C₂	semidirect
14. #20256871	C₂	semidirect
15. #20256718	C₂	semidirect
16. #20256717	C₂	semidirect
17. C₂×#15689635	C₂	semidirect
18. C₂×#15689630	C₂	semidirect
19. #525×D₄₇	C₂	semidirect
20. #20256589	C₂	semidirect
21. C₄₇×#3449	C₂	semidirect
23. C₂×#13094072	C₂²	semidirect
24. C₂×#13094071	C₂²	semidirect
25. C₂×#13094071	C₂²	semidirect
26. C₂×#13094070	C₂²	semidirect
27. C₂×#13094070	C₂²	semidirect
28. C₂×#13094069	C₂²	semidirect
29. C₂×#13094069	C₂²	semidirect
30. C₂²×#10625354	C₂²	semidirect
32. C₂²×#10625350	C₂²	semidirect
33. C₂²×#10625350	C₂²	semidirect
34. C₂²×#10625350	C₂²	semidirect
35. C₂²×#10625352	C₂²	semidirect
36. C₂²×#10625352	C₂²	semidirect
38. C₂×#41×D₄₇	C₂²	semidirect
39. C₂×#41×D₄₇	C₂²	semidirect
40. C₂×#41×D₄₇	C₂²	semidirect
41. C₂×#41×D₄₇	C₂²	semidirect
42. C₂×#41×D₄₇	C₂²	semidirect
43. C₂×#41×D₄₇	C₂²	semidirect
44. C₂²×Q₈×D₄₇	C₂²	semidirect
45. C₂²×D₄×D₄₇	C₂²	semidirect
46. C₂²×D₄×D₄₇	C₂²	semidirect
47. C₂³×C₄×D₄₇	C₂²	semidirect
48. C₂³×C₄×D₄₇	C₂²	semidirect
49. #15689793	C₂²	semidirect
50. #15689791	C₂²	semidirect
51. #15689788	C₂²	semidirect
52. #15689786	C₂²	semidirect
53. #15689783	C₂²	semidirect
54. #15689781	C₂²	semidirect
55. #15689781	C₂²	semidirect
56. #15689779	C₂²	semidirect
57. #15689776	C₂²	semidirect
58. #15689775	C₂²	semidirect
59. #15689773	C₂²	semidirect
60. #15689771	C₂²	semidirect
61. #15689770	C₂²	semidirect
62. #15689766	C₂²	semidirect
63. #15689766	C₂²	semidirect
64. #15689765	C₂²	semidirect
65. #15689764	C₂²	semidirect
66. #15689762	C₂²	semidirect
67. #15689762	C₂²	semidirect
68. #15689760	C₂²	semidirect
69. #15689758	C₂²	semidirect
70. #15689757	C₂²	semidirect
71. #15689757	C₂²	semidirect
72. #15689755	C₂²	semidirect
73. #15689703	C₂²	semidirect
74. #15689702	C₂²	semidirect
75. #15689701	C₂²	semidirect
76. #15689697	C₂²	semidirect
77. #15689696	C₂²	semidirect
78. #15689695	C₂²	semidirect
79. #15689694	C₂²	semidirect
80. #15689690	C₂²	semidirect
81. #15689689	C₂²	semidirect
82. #15689688	C₂²	semidirect
83. #15689687	C₂²	semidirect
84. #15689684	C₂²	semidirect
85. #15689683	C₂²	semidirect
86. #15689682	C₂²	semidirect
87. #15689670	C₂²	semidirect
88. #15689669	C₂²	semidirect
89. #15689636	C₂²	semidirect
90. #15689635	C₂²	semidirect
91. #15689635	C₂²	semidirect
92. #15689635	C₂²	semidirect
93. #15689635	C₂²	semidirect
94. #15689635	C₂²	semidirect
95. #15689635	C₂²	semidirect
96. #15689634	C₂²	semidirect
97. #15689633	C₂²	semidirect
98. #15689632	C₂²	semidirect
99. #15689632	C₂²	semidirect
100. #15689631	C₂²	semidirect
101. #15689630	C₂²	semidirect
102. #15689630	C₂²	semidirect
103. #15689630	C₂²	semidirect
104. #15689630	C₂²	semidirect
105. #15689630	C₂²	semidirect
106. #15689630	C₂²	semidirect
107. #15689630	C₂²	semidirect
108. #15689629	C₂²	semidirect
109. C₂×#13094008	C₂²	semidirect
110. C₂×#13094005	C₂²	semidirect
111. #123×D₄₇	C₂²	semidirect
112. C₂×#13094004	C₂²	semidirect
113. C₂×#13094000	C₂²	semidirect
114. C₂²⋊Q₈×D₄₇	C₂²	semidirect
115. C₂×#13093999	C₂²	semidirect
116. C₂×#13093995	C₂²	semidirect
117. #121×D₄₇	C₂²	semidirect
118. C₂×#13093994	C₂²	semidirect
119. C₂×#13093992	C₂²	semidirect
120. #120×D₄₇	C₂²	semidirect
121. #15689604	C₂²	semidirect
122. #15689603	C₂²	semidirect
123. #15689600	C₂²	semidirect
124. #15689597	C₂²	semidirect
125. #15689596	C₂²	semidirect
126. C₄×#10625350	C₂²	semidirect
127. #15689591	C₂²	semidirect
128. C₂×C₄×D₁₈₈	C₂²	semidirect
129. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
130. C₄×D₄×D₄₇	C₂²	semidirect
131. C₂×#13093983	C₂²	semidirect
132. #117×D₄₇	C₂²	semidirect
133. C₂²×#41×C₄₇	C₂²	semidirect
134. C₂²×#41×C₄₇	C₂²	semidirect
135. C₄₇×#537	C₂²	semidirect
136. C₄₇×#536	C₂²	semidirect
137. C₄₇×#536	C₂²	semidirect
138. C₄₇×#535	C₂²	semidirect
139. C₄₇×#535	C₂²	semidirect
140. C₄₇×#534	C₂²	semidirect
141. C₄₇×#532	C₂²	semidirect
142. C₄₇×#525	C₂²	semidirect
143. C₄₇×#525	C₂²	semidirect
144. C₂×#117×C₄₇	C₂²	semidirect
157. C₂×#10625354	C₂³	semidirect
158. C₂×#10625354	C₂³	semidirect
162. C₂×#10625350	D₄	semidirect
171. C₂×#10625350	C₂³	semidirect
172. C₂×#10625350	C₂³	semidirect
173. C₂×#10625350	C₂³	semidirect
174. C₂×#10625350	C₂³	semidirect
175. C₂×#10625350	C₂³	semidirect
176. C₂×#10625350	C₂³	semidirect
184. C₂×#10625352	C₂³	semidirect
185. C₂×#10625352	C₂³	semidirect
186. C₂×#10625352	C₂³	semidirect
195. C₂²×Dic₉₄	C₂³	semidirect
196. C₂²×Dic₉₄	C₂³	semidirect
200. C₂×Q₈×D₄₇	C₂³	semidirect
201. C₂×Q₈×D₄₇	C₂³	semidirect
205. C₂²×D₁₈₈	C₂³	semidirect
206. C₂²×D₁₈₈	C₂³	semidirect
212. C₂²×C₂²⋊D₄₇	C₂³	semidirect
221. C₂×D₄×D₄₇	C₂³	semidirect
222. C₂×D₄×D₄₇	C₂³	semidirect
223. C₂×D₄×D₄₇	C₂³	semidirect
241. C₂²×C₄×D₄₇	C₂³	semidirect
242. C₂²×C₄×D₄₇	C₂³	semidirect
243. #13094023	C₂³	semidirect
244. #13094022	C₂³	semidirect
245. #13094020	C₂³	semidirect
246. #13094020	C₂³	semidirect
247. #13094013	C₂³	semidirect
248. #13094011	C₂³	semidirect
249. #13094010	C₂³	semidirect
250. #13094010	C₂³	semidirect
251. #13094009	C₂³	semidirect
252. #13094009	C₂³	semidirect
255. #13094008	C₂³	semidirect
257. #13094006	C₂³	semidirect
258. #13094006	C₂³	semidirect
261. #13094005	C₂³	semidirect
262. #13094005	C₂³	semidirect
265. #13094004	C₂³	semidirect
266. #13094004	C₂³	semidirect
267. #13094003	C₂³	semidirect
269. #13094002	C₂³	semidirect
270. #13094001	C₂³	semidirect
271. #13094001	C₂³	semidirect
274. #13094000	C₂³	semidirect
275. #13094000	C₂³	semidirect
276. #13094000	C₂³	semidirect
279. #13093999	C₂³	semidirect
280. #13093999	C₂³	semidirect
281. #13093999	C₂³	semidirect
282. #13093998	C₂³	semidirect
284. #13093997	C₂³	semidirect
285. #13093997	C₂³	semidirect
286. #13093997	C₂³	semidirect
287. #13093996	C₂³	semidirect
288. #13093996	C₂³	semidirect
289. #13093996	C₂³	semidirect
292. #13093995	C₂³	semidirect
293. #13093995	C₂³	semidirect
294. #13093995	C₂³	semidirect
295. #13093995	C₂³	semidirect
300. #13093994	C₂³	semidirect
306. #13093992	C₂³	semidirect
307. #13093992	C₂³	semidirect
308. C₄×Dic₉₄	C₂³	semidirect
309. #13093989	C₂³	semidirect
312. C₄×D₁₈₈	C₂³	semidirect
313. C₄×D₁₈₈	C₂³	semidirect
314. C₄×D₁₈₈	C₂³	semidirect
315. D₄×Dic₄₇	C₂³	semidirect
317. #13093986	C₂³	semidirect
320. C₄×C₂²⋊D₄₇	C₂³	semidirect
321. C₄×C₂²⋊D₄₇	C₂³	semidirect
322. C₄×C₂²⋊D₄₇	C₂³	semidirect
323. C₄×C₂²⋊D₄₇	C₂³	semidirect
325. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
326. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
329. #13093983	C₂³	semidirect
330. #13093983	C₂³	semidirect
331. #13093982	C₂³	semidirect
332. #13093981	C₂³	semidirect
334. C₂×C₄⋊Dic₄₇	C₂³	semidirect
335. C₂×C₄⋊Dic₄₇	C₂³	semidirect
336. C₂×Dic₄₇⋊C₄	C₂³	semidirect
337. C₄⋊C₄×D₄₇	C₂³	semidirect
338. C₄⋊C₄×D₄₇	C₂³	semidirect
340. C₂×C₂²⋊Dic₄₇	C₂³	semidirect
343. C₂×(C₂×D₄₇)⋊C₄	C₂³	semidirect
346. C₂²⋊C₄×D₄₇	C₂³	semidirect
347. C₂×C₄×Dic₄₇	C₂³	semidirect
348. C₄²×D₄₇	C₂³	semidirect
357. C₂×#41×C₄₇	C₂³	semidirect
358. C₂×#41×C₄₇	C₂³	semidirect
360. C₂²×Q₈×C₄₇	C₂³	semidirect
364. C₂²×D₄×C₄₇	C₂³	semidirect
367. C₂³×C₄×C₄₇	C₂³	semidirect
368. C₄⋊Q₈×C₄₇	C₂³	semidirect
369. #127×C₄₇	C₂³	semidirect
370. #124×C₄₇	C₂³	semidirect
371. #124×C₄₇	C₂³	semidirect
373. #123×C₄₇	C₂³	semidirect
374. C₂²⋊Q₈×C₄₇	C₂³	semidirect
375. C₂²⋊Q₈×C₄₇	C₂³	semidirect
376. #121×C₄₇	C₂³	semidirect
377. #121×C₄₇	C₂³	semidirect
378. #121×C₄₇	C₂³	semidirect
380. #120×C₄₇	C₂³	semidirect
381. C₄×D₄×C₄₇	C₂³	semidirect
384. #117×C₄₇	C₂³	semidirect
385. #117×C₄₇	C₂³	semidirect
386. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
388. C₂×C₄²×C₄₇	C₂³	semidirect
433. C₂²×C₄×C₄₇	C₂×D₄	semidirect
452. C₂×C₂²⋊D₄₇	C₂×D₄	semidirect
510. #10625350	C₂×D₄	semidirect
511. #10625350	C₂×D₄	semidirect
512. #10625350	C₂×D₄	semidirect
513. #10625350	C₂×D₄	semidirect
518. C₂×D₁₈₈	C₂×D₄	semidirect
541. C₂×C₄×D₄₇	C₂×D₄	semidirect
562. C₂×Dic₉₄	C₂×D₄	semidirect
759. C₂×D₄₇	#585	semidirect
788. #3449	D₄₇	semidirect
826. C₂²×#41	C₂×D₄₇	semidirect
827. C₂²×#41	C₂×D₄₇	semidirect
860. #537	C₂×D₄₇	semidirect
865. #536	C₂×D₄₇	semidirect
866. #536	C₂×D₄₇	semidirect
871. #535	C₂×D₄₇	semidirect
872. #535	C₂×D₄₇	semidirect
876. #534	C₂×D₄₇	semidirect
879. #532	C₂×D₄₇	semidirect
900. #525	C₂×D₄₇	semidirect
901. #525	C₂×D₄₇	semidirect
926. C₂×#117	C₂×D₄₇	semidirect
927. C₄₇	#62811	semidirect
984. C₂×#41	C₂²×D₄₇	semidirect
985. C₂×#41	C₂²×D₄₇	semidirect
996. C₂²×Q₈	C₂²×D₄₇	semidirect
1022. C₂²×D₄	C₂²×D₄₇	semidirect
1044. C₂³×C₄	C₂²×D₄₇	semidirect
1047. C₄⋊Q₈	C₂²×D₄₇	semidirect
1050. #127	C₂²×D₄₇	semidirect
1055. #124	C₂²×D₄₇	semidirect
1056. #124	C₂²×D₄₇	semidirect
1070. #123	C₂²×D₄₇	semidirect
1085. C₂²⋊Q₈	C₂²×D₄₇	semidirect
1086. C₂²⋊Q₈	C₂²×D₄₇	semidirect
1106. #121	C₂²×D₄₇	semidirect
1107. #121	C₂²×D₄₇	semidirect
1108. #121	C₂²×D₄₇	semidirect
1122. #120	C₂²×D₄₇	semidirect
1142. C₄×D₄	C₂²×D₄₇	semidirect
1152. #117	C₂²×D₄₇	semidirect
1153. #117	C₂²×D₄₇	semidirect
1159. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect
1171. C₂×C₄²	C₂²×D₄₇	semidirect
1338. C₂²×C₄	D₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689959	2
C₂²×#41×D₄₇	2
#20257066	2
#20257063	2
#20257055	2
#20257052	2
#20257044	2
#20257037	2
#20257031	2
#20257029	2
#20257022	2
#20257020	2
#20256874	2
#20256871	2
#20256718	2
#20256717	2
C₂×#15689635	2
C₂×#15689630	2
#525×D₄₇	2
#20256589	2
C₄₇×#3449	2
#62811	47