Subgroups — #26377351

Order 12032.

2462 conjugacy classes of subgroups.

The subgroup lattice has 996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246353	C₂	1	1	yes	maximal, characteristic, complemented
2	#20246345	C₂	1	1	yes	maximal, characteristic, complemented
3	#20246328	C₂	1	2	yes	maximal, complemented
4	#20246317	C₂	1	2	yes	maximal, complemented
5	#20246298	C₂	1	1	yes	maximal, characteristic, complemented
6	D₄×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
7	#20246265	C₂	1	1	yes	maximal, characteristic, complemented
8	#20246257	C₂	1	1	yes	maximal, characteristic, complemented
9	#20246248	C₂	1	2	yes	maximal, complemented
10	#20246248	C₂	1	2	yes	maximal, complemented
11	#20246218	C₂	1	1	yes	maximal, characteristic
12	#20246218	C₂	1	1	yes	maximal, characteristic
13	#20246039	C₂	1	1	yes	maximal, characteristic, complemented
14	#20246021	C₂	1	2	yes	maximal, complemented
15	#20245997	C₂	1	1	yes	maximal, characteristic, complemented
16	#20245991	C₂	1	2	yes	maximal, complemented
17	#20245886	C₂	1	1	yes	maximal, characteristic, complemented
18	#20245866	C₂	1	1	yes	maximal, characteristic, complemented
19	#20245833	C₂	1	2	yes	maximal, complemented
20	C₂×#15689009	C₂	1	2	yes	maximal, complemented
21	#20245749	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×D₄×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#520	C₂	1	1	yes	maximal, characteristic
24	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
25	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
26	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
27	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
28	C₂×#13093983	C₂²	1	2	yes	—
29	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
30	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
31	#15689030	C₂²	1	1	yes	characteristic
32	#15689030	C₂²	1	1	yes	characteristic
33	#15689030	C₂²	1	1	yes	characteristic
34	#15689030	C₂²	1	1	yes	characteristic
35	#15689022	C₂²	1	1	yes	characteristic
36	#15689022	C₂²	1	1	yes	characteristic
37	#15689022	C₂²	1	1	yes	characteristic
38	#15689022	C₂²	1	1	yes	characteristic
39	#15689016	C₂²	1	1	yes	characteristic
40	#15689016	C₂²	1	2	yes	—
41	#15689016	C₂²	1	1	yes	characteristic
42	#15689016	C₂²	1	2	yes	—
43	#15689016	C₂²	1	1	yes	characteristic
44	#15689016	C₂²	1	1	yes	characteristic
45	#15689009	C₂²	1	2	yes	—
46	#15689009	C₂²	1	2	yes	—
47	#15689009	C₂²	1	2	yes	—
48	#15689009	C₂²	1	2	yes	—
49	#15689009	C₂²	1	2	yes	—
50	#15689009	C₂²	1	1	yes	characteristic
51	#15689009	C₂²	1	2	yes	—
52	#15689009	C₂²	1	2	yes	—
53	#15689009	C₂²	1	2	yes	—
54	#15689009	C₂²	1	2	yes	—
55	#15689009	C₂²	1	2	yes	—
56	#15689009	C₂²	1	2	yes	—
57	#15689009	C₂²	1	1	yes	characteristic
58	#15689009	C₂²	1	1	yes	characteristic
59	#15689009	C₂²	1	1	yes	characteristic
60	#15689009	C₂²	1	2	yes	—
61	#15689009	C₂²	1	2	yes	—
62	#15689009	C₂²	1	2	yes	—
63	#15689003	C₂²	1	2	yes	—
64	#15689003	C₂²	1	2	yes	—
65	#15689003	C₂²	1	2	yes	—
66	#15689003	C₂²	1	2	yes	—
67	#15688998	C₂²	1	2	yes	—
68	#15688998	C₂²	1	2	yes	—
69	#15688998	C₂²	1	2	yes	—
70	#15688998	C₂²	1	2	yes	—
71	#15688993	C₂²	1	1	yes	characteristic
72	#15688991	C₂²	1	2	yes	—
73	#15688991	C₂²	1	2	yes	—
74	#15688989	C₂²	1	2	yes	—
75	#15688989	C₂²	1	2	yes	—
76	#15688989	C₂²	1	1	yes	characteristic
77	#15688986	C₂²	1	2	yes	—
78	#15688986	C₂²	1	2	yes	—
79	#15688986	C₂²	1	2	yes	—
80	#15688983	C₂²	1	2	yes	—
81	#15688983	C₂²	1	2	yes	—
82	#15688983	C₂²	1	2	yes	—
83	#15688983	C₂²	1	1	yes	characteristic
84	#15688983	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
89	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
90	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
91	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
92	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
93	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
94	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
95	C₂²⋊C₄×Dic₄₇	C₂²	1	2	yes	—
96	C₂²⋊C₄×Dic₄₇	C₂²	1	2	yes	—
97	C₂²⋊C₄×Dic₄₇	C₂²	1	2	yes	—
98	C₂²⋊C₄×Dic₄₇	C₂²	1	2	yes	—
99	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
100	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
101	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
102	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
103	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
104	#15688969	C₂²	1	1	yes	characteristic
105	#15688969	C₂²	1	2	yes	—
106	#15688969	C₂²	1	2	yes	—
107	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
108	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
109	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
110	C₂×C₄₇⋊#95	C₂²	1	2	yes	—
111	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
112	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
113	C₄₇×#520	C₄	1	16	yes	complemented
114	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
115	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
116	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
117	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
118	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
119	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
120	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
121	C₂×#117×C₄₇	C₂²	1	2	yes	—
122	C₂²×C₄⋊C₄×C₄₇	C₂²	1	2	yes	—
123	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
124	C₂³×Dic₄₇	C₂³	1	2	yes	—
125	C₂³×Dic₄₇	C₂³	1	2	yes	—
126	C₂³×Dic₄₇	C₂³	1	2	yes	—
127	C₂³×Dic₄₇	C₂³	1	2	yes	—
128	D₄×Dic₄₇	—	2	4	no	—
129	D₄×Dic₄₇	—	2	4	no	—
130	D₄×Dic₄₇	—	2	4	no	—
131	D₄×Dic₄₇	—	2	4	no	—
132	#13093983	—	4	4	no	—
133	C₂×C₄⋊Dic₄₇	—	4	4	no	—
134	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
135	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
136	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
137	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
138	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
139	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
140	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
141	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
142	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
143	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
144	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
145	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
146	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
147	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
148	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
149	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
150	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
151	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
152	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
153	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
154	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
155	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
156	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
157	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
158	C₂×C₄×Dic₄₇	—	4	4	no	—
159	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
160	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
161	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
162	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
163	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
164	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
165	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
166	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
167	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
168	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
169	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
170	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
171	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
172	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
173	C₄₇⋊#95	C₂³	1	1	yes	characteristic
174	C₄₇⋊#95	C₂³	1	1	yes	characteristic
175	C₄₇⋊#95	C₂³	1	1	yes	characteristic
176	C₄₇⋊#95	C₂³	1	1	yes	characteristic
177	C₄₇⋊#95	C₂³	1	2	yes	—
178	C₄₇⋊#95	C₂³	1	2	yes	—
179	C₄₇⋊#95	C₂³	1	2	yes	—
180	C₄₇⋊#95	C₂³	1	2	yes	—
181	C₄₇⋊#95	C₂³	1	2	yes	—
182	C₄₇⋊#95	C₂³	1	2	yes	—
183	C₄₇⋊#95	C₂³	1	2	yes	—
184	C₄₇⋊#95	C₂³	1	2	yes	—
185	C₄₇⋊#95	C₂³	1	2	yes	—
186	C₄₇⋊#95	C₂³	1	2	yes	—
187	C₄₇⋊#95	C₂³	1	2	yes	—
188	C₄₇⋊#95	C₂³	1	2	yes	—
189	C₄₇⋊#95	C₂³	1	1	yes	characteristic
190	C₄₇⋊#95	C₂³	1	1	yes	characteristic
191	C₄₇⋊#95	C₂³	1	1	yes	characteristic
192	C₄₇⋊#95	C₂³	1	1	yes	characteristic
193	C₄₇⋊#95	C₂³	1	2	yes	—
194	C₄₇⋊#95	C₂³	1	2	yes	—
195	C₄₇⋊#95	C₂³	1	2	yes	—
196	C₄₇⋊#95	C₂³	1	2	yes	—
197	C₄₇⋊#95	C₂³	1	2	yes	—
198	C₄₇⋊#95	C₂³	1	2	yes	—
199	C₄₇⋊#95	C₂³	1	2	yes	—
200	C₄₇⋊#95	C₂³	1	1	yes	characteristic
201	C₄₇⋊#95	C₂³	1	1	yes	characteristic
202	C₄₇⋊#95	C₂³	1	2	yes	—
203	C₄₇⋊#95	C₂³	1	1	yes	characteristic
204	C₄₇⋊#95	C₂³	1	2	yes	—
205	C₄₇⋊#95	C₂³	1	2	yes	—
206	C₄₇⋊#95	C₂³	1	1	yes	characteristic
207	C₂×#41×C₄₇	—	2	4	no	—
208	C₂×#41×C₄₇	—	2	4	no	—
209	C₂×#41×C₄₇	C₂×C₄	1	8	yes	—
210	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
212	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
214	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
216	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
217	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
218	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
219	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
220	C₄×D₄×C₄₇	C₂×C₄	1	8	yes	—
221	C₄×D₄×C₄₇	C₂×C₄	1	8	yes	—
222	C₄×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
223	C₄×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
224	#117×C₄₇	C₂×C₄	1	8	yes	complemented
225	#117×C₄₇	C₂×C₄	1	16	yes	complemented
226	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	8	yes	complemented
227	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	16	yes	complemented
228	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
231	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
232	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
233	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
241	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
242	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
243	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
244	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
245	#41×C₄₇	—	2	32	no	—
246	C₂×Q₈×C₄₇	—	2	2	no	—
247	C₂×Q₈×C₄₇	—	2	2	no	—
248	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
249	C₂×D₄×C₄₇	—	2	4	no	—
250	C₂×D₄×C₄₇	—	2	4	no	—
251	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
252	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
253	C₂×D₄×C₄₇	#41	1	4	yes	—
254	C₂×D₄×C₄₇	#41	1	4	yes	—
255	C₂²×C₄×C₄₇	—	2	4	no	—
256	C₂²×C₄×C₄₇	—	2	4	no	—
257	C₂²×C₄×C₄₇	—	2	2	no	—
258	C₂²×C₄×C₄₇	—	2	2	no	—
259	C₂²×C₄×C₄₇	—	4	2	no	—
260	C₂²×C₄×C₄₇	—	4	2	no	—
261	C₂²×C₄×C₄₇	—	4	2	no	—
262	C₂²×C₄×C₄₇	—	4	2	no	—
263	C₂²×C₄×C₄₇	—	4	2	no	—
264	C₂²×C₄×C₄₇	—	4	2	no	—
265	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
266	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
267	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
268	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
269	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
270	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
274	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
275	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
279	C₂²×Dic₄₇	—	2	4	no	—
280	C₂²×Dic₄₇	—	2	4	no	—
281	C₂²×Dic₄₇	—	2	4	no	—
282	C₂²×Dic₄₇	—	2	4	no	—
283	C₂²×Dic₄₇	—	2	4	no	—
284	C₂²×Dic₄₇	—	2	4	no	—
285	C₂²×Dic₄₇	—	4	2	no	—
286	C₂²×Dic₄₇	—	4	2	no	—
287	C₂²×Dic₄₇	—	4	2	no	—
288	C₂²×Dic₄₇	—	4	2	no	—
289	C₂²×Dic₄₇	—	4	2	no	—
290	C₂²×Dic₄₇	—	4	2	no	—
291	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
292	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
293	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
294	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
295	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
296	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
297	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
298	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
299	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
300	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
301	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
302	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
303	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
304	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
305	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
306	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
307	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
308	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
309	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
310	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
311	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
312	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
313	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
314	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
315	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
316	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
317	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
318	C₂²⋊Dic₄₇	—	2	4	no	—
319	C₂²⋊Dic₄₇	—	2	4	no	—
320	C₂²⋊Dic₄₇	—	2	4	no	—
321	C₂²⋊Dic₄₇	—	2	4	no	—
322	C₂²⋊Dic₄₇	—	2	2	no	—
323	C₂²⋊Dic₄₇	—	2	2	no	—
324	C₂²⋊Dic₄₇	—	4	1	no	—
325	C₂²⋊Dic₄₇	—	4	1	no	—
326	C₂²⋊Dic₄₇	—	4	2	no	—
327	C₂²⋊Dic₄₇	—	4	2	no	—
328	C₄⋊Dic₄₇	—	2	2	no	—
329	C₄⋊Dic₄₇	—	2	2	no	—
330	C₄⋊Dic₄₇	—	2	2	no	—
331	C₄⋊Dic₄₇	—	2	2	no	—
332	C₄⋊Dic₄₇	—	2	2	no	—
333	C₄⋊Dic₄₇	—	2	4	no	—
334	C₄⋊Dic₄₇	—	2	2	no	—
335	C₄⋊Dic₄₇	—	4	2	no	—
336	C₄⋊Dic₄₇	—	4	2	no	—
337	C₄⋊Dic₄₇	—	4	1	no	—
338	C₄⋊Dic₄₇	—	4	2	no	—
339	C₄⋊Dic₄₇	—	4	1	no	—
340	C₄⋊Dic₄₇	—	4	2	no	—
341	C₄⋊Dic₄₇	—	4	2	no	—
342	C₄×Dic₄₇	—	2	2	no	—
343	C₄×Dic₄₇	—	2	2	no	—
344	C₄×Dic₄₇	—	2	2	no	—
345	C₄×Dic₄₇	—	2	2	no	—
346	C₄×Dic₄₇	—	2	2	no	—
347	C₄×Dic₄₇	—	2	4	no	—
348	C₄×Dic₄₇	—	2	2	no	—
349	C₄×Dic₄₇	—	4	2	no	—
350	C₄×Dic₄₇	—	4	2	no	—
351	C₄×Dic₄₇	—	4	1	no	—
352	C₄×Dic₄₇	—	4	2	no	—
353	C₄×Dic₄₇	—	4	1	no	—
354	C₄×Dic₄₇	—	4	2	no	—
355	C₄×Dic₄₇	—	4	2	no	—
356	C₂³×C₄₇	—	2	2	no	—
357	C₂³×C₄₇	—	2	2	no	—
358	C₂³×C₄₇	—	2	2	no	—
359	C₂³×C₄₇	—	2	2	no	—
360	C₂³×C₄₇	—	2	1	no	—
361	C₂³×C₄₇	—	2	1	no	—
362	C₂³×C₄₇	—	2	1	no	—
363	C₂³×C₄₇	—	2	1	no	—
364	C₂³×C₄₇	—	2	1	no	—
365	C₂³×C₄₇	—	2	1	no	—
366	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
367	C₂³×C₄₇	C₂³×C₄	1	4	yes	—
368	C₂³×C₄₇	C₂×#41	1	4	yes	—
369	C₂³×C₄₇	C₂×#41	1	4	yes	—
370	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
371	Q₈×C₄₇	—	2	8	no	—
372	D₄×C₄₇	—	2	16	no	—
373	D₄×C₄₇	#117	1	16	yes	complemented
374	C₂×C₄×C₄₇	—	2	16	no	—
375	C₂×C₄×C₄₇	—	2	1	no	—
376	C₂×C₄×C₄₇	—	2	1	no	—
377	C₂×C₄×C₄₇	—	2	2	no	—
378	C₂×C₄×C₄₇	—	2	2	no	—
379	C₂×C₄×C₄₇	—	2	1	no	—
380	C₂×C₄×C₄₇	—	2	2	no	—
381	C₂×C₄×C₄₇	—	2	1	no	—
382	C₂×C₄×C₄₇	—	2	2	no	—
383	C₂×C₄×C₄₇	—	2	1	no	—
384	C₂×C₄×C₄₇	—	2	1	no	—
385	C₂×C₄×C₄₇	—	2	1	no	—
386	C₂×C₄×C₄₇	—	2	2	no	—
387	C₂×C₄×C₄₇	—	2	1	no	—
388	C₂×C₄×C₄₇	—	2	1	no	—
389	C₂×C₄×C₄₇	—	2	1	no	—
390	C₂×C₄×C₄₇	—	2	2	no	—
391	C₂×C₄×C₄₇	—	2	8	no	—
392	C₂×C₄×C₄₇	—	4	8	no	—
393	C₂×C₄×C₄₇	—	4	8	no	—
394	C₂×C₄×C₄₇	—	4	8	no	—
395	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
396	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
397	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
398	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
399	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
400	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
401	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
402	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
403	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
404	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
405	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
406	C₂×Dic₄₇	—	2	1	no	—
407	C₂×Dic₄₇	—	2	1	no	—
408	C₂×Dic₄₇	—	2	1	no	—
409	C₂×Dic₄₇	—	2	1	no	—
410	C₂×Dic₄₇	—	2	1	no	—
411	C₂×Dic₄₇	—	2	1	no	—
412	C₂×Dic₄₇	—	2	1	no	—
413	C₂×Dic₄₇	—	2	1	no	—
414	C₂×Dic₄₇	—	2	1	no	—
415	C₂×Dic₄₇	—	2	1	no	—
416	C₂×Dic₄₇	—	2	2	no	—
417	C₂×Dic₄₇	—	2	2	no	—
418	C₂×Dic₄₇	—	2	2	no	—
419	C₂×Dic₄₇	—	2	2	no	—
420	C₂×Dic₄₇	—	2	2	no	—
421	C₂×Dic₄₇	—	2	1	no	—
422	C₂×Dic₄₇	—	2	2	no	—
423	C₂×Dic₄₇	—	2	2	no	—
424	C₂×Dic₄₇	—	2	1	no	—
425	C₂×Dic₄₇	—	2	1	no	—
426	C₂×Dic₄₇	—	2	1	no	—
427	C₂×Dic₄₇	—	2	1	no	—
428	C₂×Dic₄₇	—	2	2	no	—
429	C₂×Dic₄₇	—	2	1	no	—
430	C₂×Dic₄₇	—	2	1	no	—
431	C₂×Dic₄₇	—	2	1	no	—
432	C₂×Dic₄₇	—	2	1	no	—
433	C₂×Dic₄₇	—	2	2	no	—
434	C₂×Dic₄₇	—	2	2	no	—
435	C₂×Dic₄₇	—	2	2	no	—
436	C₂×Dic₄₇	—	2	2	no	—
437	C₂×Dic₄₇	—	2	1	no	—
438	C₂×Dic₄₇	—	2	1	no	—
439	C₂×Dic₄₇	—	2	1	no	—
440	C₂×Dic₄₇	—	4	8	no	—
441	C₂×Dic₄₇	—	4	8	no	—
442	C₂×Dic₄₇	—	8	4	no	—
443	C₂×Dic₄₇	—	8	4	no	—
444	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
445	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
446	#34260	—	47	1	no	maximal, Sylow
447	C₂²×C₄₇	—	2	4	no	—
448	C₂²×C₄₇	—	2	4	no	—
449	C₂²×C₄₇	—	2	4	no	—
450	C₂²×C₄₇	—	2	4	no	—
451	C₂²×C₄₇	—	2	4	no	—
452	C₂²×C₄₇	—	2	4	no	—
453	C₂²×C₄₇	—	2	2	no	—
454	C₂²×C₄₇	—	2	2	no	—
455	C₂²×C₄₇	—	2	2	no	—
456	C₂²×C₄₇	—	4	1	no	—
457	C₂²×C₄₇	—	4	1	no	—
458	C₂²×C₄₇	—	4	1	no	—
459	C₂²×C₄₇	—	4	1	no	—
460	C₂²×C₄₇	C₂×#117	1	8	yes	—
461	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
462	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
463	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
464	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
465	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
466	C₂²×C₄₇	#585	1	1	yes	characteristic
467	C₂²×C₄₇	#585	1	1	yes	characteristic
468	C₄×C₄₇	—	2	2	no	—
469	C₄×C₄₇	—	2	4	no	—
470	C₄×C₄₇	—	2	2	no	—
471	C₄×C₄₇	—	2	4	no	—
472	C₄×C₄₇	—	2	2	no	—
473	C₄×C₄₇	—	2	4	no	—
474	C₄×C₄₇	—	2	2	no	—
475	C₄×C₄₇	—	2	2	no	—
476	C₄×C₄₇	C₂×#117	1	4	yes	—
477	Dic₄₇	—	2	2	no	—
478	Dic₄₇	—	2	2	no	—
479	Dic₄₇	—	4	2	no	—
480	Dic₄₇	—	4	2	no	—
481	Dic₄₇	—	4	1	no	—
482	Dic₄₇	—	4	1	no	—
483	Dic₄₇	—	4	1	no	—
484	Dic₄₇	—	4	1	no	—
485	Dic₄₇	—	4	2	no	—
486	Dic₄₇	—	4	1	no	—
487	Dic₄₇	—	4	2	no	—
488	Dic₄₇	—	4	1	no	—
489	C₂×#520	D₄₇	1	1	yes	characteristic
490	#2356	—	47	1	no	—
491	#2355	—	47	1	no	—
492	#2353	—	47	2	no	—
493	#2352	—	47	2	no	—
494	#2349	—	47	1	no	—
495	D₄×C₄⋊C₄	—	47	1	no	—
496	#2345	—	47	1	no	—
497	#2344	—	47	1	no	—
498	#2343	—	47	2	no	—
499	#2343	—	47	2	no	—
500	#2339	—	47	1	no	—
501	#2339	—	47	1	no	—
502	#2320	—	47	1	no	—
503	#2318	—	47	2	no	—
504	#2314	—	47	1	no	—
505	#2313	—	47	2	no	—
506	#2298	—	47	1	no	—
507	#2295	—	47	1	no	—
508	#2290	—	47	2	no	—
509	C₂×#387	—	47	2	no	—
510	#2275	—	47	1	no	—
511	C₄²×D₄	—	47	1	no	—
512	C₂×C₄₇	—	2	8	no	—
513	C₂×C₄₇	—	4	2	no	—
514	C₂×C₄₇	C₂²×#117	1	1	yes	characteristic
515	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
516	C₂×C₄₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
517	C₂×C₄₇	#3513	1	1	yes	characteristic
518	C₂×C₄₇	#3515	1	1	yes	characteristic
519	C₂×C₄₇	#3520	1	1	yes	characteristic
520	C₂×C₄₇	#3521	1	1	yes	characteristic
521	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
522	#520	Dic₄₇	1	16	yes	complemented
523	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
524	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
525	C₂×C₄×D₄	—	47	1	no	—
526	C₂×C₄×D₄	—	47	1	no	—
527	C₂×C₄×D₄	—	47	1	no	—
528	C₂×C₄×D₄	—	47	1	no	—
529	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
531	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
532	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
533	C₂×#117	—	47	2	no	—
534	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
535	C₂×#117	C₂×D₄₇	1	2	yes	—
536	C₂²×C₄⋊C₄	—	47	2	no	—
537	C₂²×C₄⋊C₄	C₂×D₄₇	1	2	yes	—
538	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
539	C₂²×C₄²	—	47	2	no	—
540	#391	—	47	1	no	—
541	#391	—	47	1	no	—
542	#391	—	47	1	no	—
543	#391	—	47	1	no	—
544	#389	—	47	1	no	—
545	#389	—	47	1	no	—
546	#389	—	47	1	no	—
547	#389	—	47	1	no	—
548	#388	—	47	2	no	—
549	#388	—	47	2	no	—
550	#388	—	47	1	no	—
551	#388	—	47	1	no	—
552	#388	—	47	1	no	—
553	#388	—	47	1	no	—
554	#387	—	47	1	no	—
555	#387	—	47	2	no	—
556	#387	—	47	2	no	—
557	#387	—	47	2	no	—
558	#387	—	47	2	no	—
559	#387	—	47	2	no	—
560	#387	—	47	2	no	—
561	#387	—	47	2	no	—
562	#387	—	47	2	no	—
563	#387	—	47	2	no	—
564	#387	—	47	1	no	—
565	#387	—	47	1	no	—
566	#387	—	47	2	no	—
567	#387	—	47	2	no	—
568	#387	—	47	2	no	—
569	#387	—	47	2	no	—
570	#387	—	47	1	no	—
571	#387	—	47	2	no	—
572	#386	—	47	2	no	—
573	#386	—	47	2	no	—
574	#386	—	47	2	no	—
575	#386	—	47	2	no	—
576	#385	—	47	2	no	—
577	#385	—	47	2	no	—
578	#385	—	47	2	no	—
579	#385	—	47	2	no	—
580	#384	—	47	1	no	—
581	#383	—	47	2	no	—
582	#383	—	47	2	no	—
583	#382	—	47	1	no	—
584	#382	—	47	2	no	—
585	#382	—	47	2	no	—
586	#381	—	47	2	no	—
587	#381	—	47	2	no	—
588	#381	—	47	2	no	—
589	#380	—	47	2	no	—
590	#380	—	47	2	no	—
591	#380	—	47	1	no	—
592	#380	—	47	1	no	—
593	#380	—	47	2	no	—
594	C₄×C₄⋊C₄	—	47	1	no	—
595	C₄×C₄⋊C₄	—	47	1	no	—
596	C₄×C₄⋊C₄	—	47	1	no	—
597	C₄×C₄⋊C₄	—	47	1	no	—
598	C₄×C₄⋊C₄	—	47	1	no	—
599	C₄×C₄⋊C₄	—	47	1	no	—
600	C₄×C₄⋊C₄	—	47	2	no	—
601	C₄×C₄⋊C₄	—	47	2	no	—
602	C₄×C₄⋊C₄	—	47	1	no	—
603	C₄×C₄⋊C₄	—	47	1	no	—
604	C₄×C₂²⋊C₄	—	47	2	no	—
605	C₄×C₂²⋊C₄	—	47	2	no	—
606	C₄×C₂²⋊C₄	—	47	1	no	—
607	C₄×C₂²⋊C₄	—	47	1	no	—
608	C₄×C₂²⋊C₄	—	47	2	no	—
609	C₄×C₂²⋊C₄	—	47	2	no	—
610	C₄×C₂²⋊C₄	—	47	2	no	—
611	C₄×C₂²⋊C₄	—	47	2	no	—
612	C₄×C₂²⋊C₄	—	47	2	no	—
613	#376	—	47	1	no	—
614	#376	—	47	2	no	—
615	#376	—	47	2	no	—
616	C₂×#95	—	47	2	no	—
617	C₂×#95	—	47	2	no	—
618	C₂×#95	—	47	2	no	—
619	C₂×#95	—	47	2	no	—
620	C₄³	—	47	1	no	—
621	C₄₇	#34260	1	1	yes	characteristic, complemented, Sylow
622	C₂×#41	—	2	4	no	—
623	C₂×#41	—	2	4	no	—
624	C₂×#41	C₂×Dic₄₇	1	8	yes	—
625	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
626	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
627	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
628	C₂³×C₄	—	47	2	no	—
629	C₂³×C₄	—	47	2	no	—
630	C₂³×C₄	—	47	2	no	—
631	C₂³×C₄	—	47	2	no	—
632	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
633	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
634	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
635	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
636	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
637	C₄×Q₈	C₂×Dic₄₇	1	8	yes	complemented
638	C₄×Q₈	C₂×Dic₄₇	1	8	yes	complemented
639	C₄×D₄	—	94	4	no	—
640	C₄×D₄	—	94	4	no	—
641	C₄×D₄	—	94	4	no	—
642	C₄×D₄	—	94	4	no	—
643	C₄×D₄	C₂×Dic₄₇	1	8	yes	—
644	C₄×D₄	C₂×Dic₄₇	1	8	yes	—
645	C₄×D₄	C₂×Dic₄₇	1	16	yes	complemented
646	C₄×D₄	C₂×Dic₄₇	1	16	yes	complemented
647	#117	—	188	4	no	—
648	#117	C₂×Dic₄₇	1	8	yes	complemented
649	#117	C₂×Dic₄₇	1	16	yes	complemented
650	C₂×C₄⋊C₄	—	47	1	no	—
651	C₂×C₄⋊C₄	—	47	2	no	—
652	C₂×C₄⋊C₄	—	47	1	no	—
653	C₂×C₄⋊C₄	—	47	1	no	—
654	C₂×C₄⋊C₄	—	47	1	no	—
655	C₂×C₄⋊C₄	—	47	1	no	—
656	C₂×C₄⋊C₄	—	47	1	no	—
657	C₂×C₄⋊C₄	—	47	2	no	—
658	C₂×C₄⋊C₄	—	47	2	no	—
659	C₂×C₄⋊C₄	—	47	2	no	—
660	C₂×C₄⋊C₄	—	47	2	no	—
661	C₂×C₄⋊C₄	—	47	1	no	—
662	C₂×C₄⋊C₄	—	47	1	no	—
663	C₂×C₄⋊C₄	—	47	2	no	—
664	C₂×C₄⋊C₄	—	188	4	no	—
665	C₂×C₄⋊C₄	C₂×Dic₄₇	1	8	yes	complemented
666	C₂×C₄⋊C₄	C₂×Dic₄₇	1	16	yes	complemented
667	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
669	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
671	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
672	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	—	47	1	no	—
675	C₂×C₂²⋊C₄	—	47	2	no	—
676	C₂×C₂²⋊C₄	—	47	2	no	—
677	C₂×C₂²⋊C₄	—	47	2	no	—
678	C₂×C₂²⋊C₄	—	47	2	no	—
679	C₂×C₂²⋊C₄	—	47	1	no	—
680	C₂×C₂²⋊C₄	—	47	2	no	—
681	C₂×C₂²⋊C₄	—	47	2	no	—
682	C₂×C₂²⋊C₄	—	47	1	no	—
683	C₂×C₂²⋊C₄	—	47	1	no	—
684	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
688	C₂×C₄²	—	47	2	no	—
689	C₂×C₄²	—	47	1	no	—
690	C₂×C₄²	—	47	1	no	—
691	C₂×C₄²	—	47	1	no	—
692	C₂×C₄²	—	47	1	no	—
693	C₂×C₄²	—	47	1	no	—
694	C₂×C₄²	—	47	1	no	—
695	C₂×C₄²	—	47	2	no	—
696	C₂×C₄²	—	47	1	no	—
697	C₂×C₄²	—	47	1	no	—
698	C₂×C₄²	—	47	2	no	—
699	C₂×C₄²	—	47	2	no	—
700	C₂×C₄²	—	47	2	no	—
701	C₂×C₄²	—	47	2	no	—
702	C₂×C₄²	—	188	4	no	—
703	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
704	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
705	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
706	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
707	#95	—	47	1	no	—
708	#95	—	47	1	no	—
709	#95	—	47	1	no	—
710	#95	—	47	1	no	—
711	#95	—	47	2	no	—
712	#95	—	47	2	no	—
713	#95	—	47	2	no	—
714	#95	—	47	2	no	—
715	#95	—	47	2	no	—
716	#95	—	47	2	no	—
717	#95	—	47	2	no	—
718	#95	—	47	2	no	—
719	#95	—	47	2	no	—
720	#95	—	47	2	no	—
721	#95	—	47	2	no	—
722	#95	—	47	2	no	—
723	#95	—	47	1	no	—
724	#95	—	47	1	no	—
725	#95	—	47	1	no	—
726	#95	—	47	1	no	—
727	#95	—	47	2	no	—
728	#95	—	47	2	no	—
729	#95	—	47	2	no	—
730	#95	—	47	2	no	—
731	#95	—	47	2	no	—
732	#95	—	47	2	no	—
733	#95	—	47	2	no	—
734	#95	—	47	2	no	—
735	#95	—	47	1	no	—
736	#95	—	47	1	no	—
737	#95	—	47	1	no	—
738	#95	—	47	2	no	—
739	#95	—	47	2	no	—
740	#95	—	47	1	no	—
741	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
742	C₂⁴	C₂³×D₄₇	1	2	yes	—
743	#41	—	2	32	no	—
744	C₂×Q₈	—	2	2	no	—
745	C₂×Q₈	—	2	2	no	—
746	C₂×Q₈	C₂²×Dic₄₇	1	4	yes	—
747	C₂×D₄	—	2	4	no	—
748	C₂×D₄	—	2	4	no	—
749	C₂×D₄	#10625350	1	4	yes	—
750	C₂×D₄	#10625350	1	4	yes	—
751	C₂×D₄	C₂²×Dic₄₇	1	8	yes	—
752	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
753	C₂²×C₄	—	2	4	no	—
754	C₂²×C₄	—	2	4	no	—
755	C₂²×C₄	—	2	2	no	—
756	C₂²×C₄	—	2	2	no	—
757	C₂²×C₄	—	4	2	no	—
758	C₂²×C₄	—	4	2	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	—	4	2	no	—
761	C₂²×C₄	—	4	2	no	—
762	C₂²×C₄	—	4	2	no	—
763	C₂²×C₄	—	47	1	no	—
764	C₂²×C₄	—	47	1	no	—
765	C₂²×C₄	—	47	1	no	—
766	C₂²×C₄	—	47	1	no	—
767	C₂²×C₄	—	47	1	no	—
768	C₂²×C₄	—	47	2	no	—
769	C₂²×C₄	—	47	2	no	—
770	C₂²×C₄	—	47	1	no	—
771	C₂²×C₄	—	47	1	no	—
772	C₂²×C₄	—	47	1	no	—
773	C₂²×C₄	—	47	2	no	—
774	C₂²×C₄	—	47	2	no	—
775	C₂²×C₄	—	94	4	no	—
776	C₂²×C₄	—	94	4	no	—
777	C₂²×C₄	—	94	4	no	—
778	C₂²×C₄	—	94	4	no	—
779	C₂²×C₄	—	94	4	no	—
780	C₂²×C₄	—	94	4	no	—
781	C₂²×C₄	—	188	2	no	—
782	C₂²×C₄	—	188	2	no	—
783	C₂²×C₄	—	188	2	no	—
784	C₂²×C₄	—	188	2	no	—
785	C₂²×C₄	—	188	2	no	—
786	C₂²×C₄	—	188	2	no	—
787	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
788	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
789	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
790	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
791	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
792	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
793	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
794	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
795	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
796	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
797	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
798	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
799	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
800	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
801	C₄⋊C₄	—	94	2	no	—
802	C₄⋊C₄	—	94	2	no	—
803	C₄⋊C₄	—	94	4	no	—
804	C₄⋊C₄	—	94	2	no	—
805	C₄⋊C₄	—	94	2	no	—
806	C₄⋊C₄	—	94	2	no	—
807	C₄⋊C₄	—	94	2	no	—
808	C₄⋊C₄	—	188	1	no	—
809	C₄⋊C₄	—	188	2	no	—
810	C₄⋊C₄	—	188	1	no	—
811	C₄⋊C₄	—	188	2	no	—
812	C₄⋊C₄	—	188	2	no	—
813	C₄⋊C₄	—	188	2	no	—
814	C₄⋊C₄	—	188	2	no	—
815	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
816	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
817	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
818	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
819	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
820	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
821	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
822	C₂²⋊C₄	—	94	2	no	—
823	C₂²⋊C₄	—	94	2	no	—
824	C₂²⋊C₄	—	94	4	no	—
825	C₂²⋊C₄	—	94	4	no	—
826	C₂²⋊C₄	—	94	4	no	—
827	C₂²⋊C₄	—	94	4	no	—
828	C₂²⋊C₄	—	188	1	no	—
829	C₂²⋊C₄	—	188	1	no	—
830	C₂²⋊C₄	—	188	2	no	—
831	C₂²⋊C₄	—	188	2	no	—
832	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
833	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
834	C₂²⋊C₄	C₂²×Dic₄₇	1	4	yes	—
835	C₂²⋊C₄	C₂²×Dic₄₇	1	4	yes	—
836	C₄²	—	94	2	no	—
837	C₄²	—	94	2	no	—
838	C₄²	—	94	4	no	—
839	C₄²	—	94	2	no	—
840	C₄²	—	94	2	no	—
841	C₄²	—	94	2	no	—
842	C₄²	—	94	2	no	—
843	C₄²	—	188	2	no	—
844	C₄²	—	188	1	no	—
845	C₄²	—	188	1	no	—
846	C₄²	—	188	2	no	—
847	C₄²	—	188	2	no	—
848	C₄²	—	188	2	no	—
849	C₄²	—	188	2	no	—
850	C₄²	C₂²×Dic₄₇	1	4	yes	—
851	C₄²	C₂²×Dic₄₇	1	4	yes	—
852	C₄²	C₂²×Dic₄₇	1	8	yes	—
853	C₄²	C₂²×Dic₄₇	1	8	yes	—
854	C₂³	—	2	2	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	2	no	—
858	C₂³	—	2	1	no	—
859	C₂³	—	2	1	no	—
860	C₂³	—	2	1	no	—
861	C₂³	—	2	1	no	—
862	C₂³	—	2	1	no	—
863	C₂³	—	2	1	no	—
864	C₂³	C₂³×Dic₄₇	1	2	yes	—
865	C₂³	C₂³×Dic₄₇	1	4	yes	—
866	C₂³	C₂×#10625350	1	4	yes	—
867	C₂³	C₂×#10625350	1	4	yes	—
868	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
869	Q₈	—	2	8	no	—
870	D₄	—	2	16	no	—
871	D₄	#13093983	1	16	yes	complemented
872	C₂×C₄	—	2	16	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	2	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	2	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	2	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	8	no	—
890	C₂×C₄	—	4	8	no	—
891	C₂×C₄	—	4	8	no	—
892	C₂×C₄	—	4	8	no	—
893	C₂×C₄	—	47	2	no	—
894	C₂×C₄	—	47	2	no	—
895	C₂×C₄	—	94	1	no	—
896	C₂×C₄	—	94	1	no	—
897	C₂×C₄	—	94	1	no	—
898	C₂×C₄	—	94	1	no	—
899	C₂×C₄	—	94	1	no	—
900	C₂×C₄	—	94	1	no	—
901	C₂×C₄	—	94	1	no	—
902	C₂×C₄	—	94	1	no	—
903	C₂×C₄	—	94	1	no	—
904	C₂×C₄	—	94	1	no	—
905	C₂×C₄	—	94	2	no	—
906	C₂×C₄	—	94	2	no	—
907	C₂×C₄	—	94	2	no	—
908	C₂×C₄	—	94	2	no	—
909	C₂×C₄	—	94	2	no	—
910	C₂×C₄	—	94	1	no	—
911	C₂×C₄	—	94	2	no	—
912	C₂×C₄	—	94	2	no	—
913	C₂×C₄	—	94	1	no	—
914	C₂×C₄	—	94	1	no	—
915	C₂×C₄	—	94	1	no	—
916	C₂×C₄	—	94	1	no	—
917	C₂×C₄	—	94	2	no	—
918	C₂×C₄	—	94	1	no	—
919	C₂×C₄	—	94	1	no	—
920	C₂×C₄	—	94	1	no	—
921	C₂×C₄	—	94	2	no	—
922	C₂×C₄	—	94	1	no	—
923	C₂×C₄	—	94	1	no	—
924	C₂×C₄	—	94	2	no	—
925	C₂×C₄	—	94	2	no	—
926	C₂×C₄	—	94	2	no	—
927	C₂×C₄	—	94	1	no	—
928	C₂×C₄	—	94	1	no	—
929	C₂×C₄	—	376	4	no	—
930	C₂×C₄	—	376	4	no	—
931	C₂×C₄	—	188	8	no	—
932	C₂×C₄	—	188	8	no	—
933	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
934	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
935	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
936	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
937	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
938	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
939	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
940	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
941	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
942	C₂×C₄	C₂×#10625350	1	2	yes	—
943	C₂×C₄	C₂×#10625350	1	2	yes	—
944	C₂²	—	2	4	no	—
945	C₂²	—	2	4	no	—
946	C₂²	—	2	4	no	—
947	C₂²	—	2	4	no	—
948	C₂²	—	2	4	no	—
949	C₂²	—	2	4	no	—
950	C₂²	—	2	2	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	2	no	—
953	C₂²	—	4	1	no	—
954	C₂²	—	4	1	no	—
955	C₂²	—	4	1	no	—
956	C₂²	—	4	1	no	—
957	C₂²	C₂×#13093983	1	8	yes	—
958	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
959	C₂²	C₂²×#10625350	1	1	yes	characteristic
960	C₂²	C₂²×#10625350	1	1	yes	characteristic
961	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
962	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
963	C₂²	#15689958	1	1	yes	characteristic
964	C₂²	#15689960	1	1	yes	characteristic
965	C₄	—	2	2	no	—
966	C₄	—	2	4	no	—
967	C₄	—	2	2	no	—
968	C₄	—	2	4	no	—
969	C₄	—	2	2	no	—
970	C₄	—	2	4	no	—
971	C₄	—	2	2	no	—
972	C₄	—	2	2	no	—
973	C₄	—	94	2	no	—
974	C₄	—	94	2	no	—
975	C₄	—	188	1	no	—
976	C₄	—	188	2	no	—
977	C₄	—	188	2	no	—
978	C₄	—	188	1	no	—
979	C₄	—	188	1	no	—
980	C₄	—	188	2	no	—
981	C₄	—	188	1	no	—
982	C₄	—	188	1	no	—
983	C₄	—	188	2	no	—
984	C₄	—	188	1	no	—
985	C₄	C₂×#13093983	1	4	yes	—
986	C₂	—	2	8	no	—
987	C₂	—	4	2	no	—
988	C₂	C₂²×#13093983	1	1	yes	characteristic
989	C₂	H(5,𝔽₂)×Dic₄₇	1	1	yes	characteristic
990	C₂	2₋¹⁺⁴×Dic₄₇	1	1	yes	characteristic
991	C₂	#20257330	1	1	yes	characteristic
992	C₂	#20257356	1	1	yes	characteristic
993	C₂	#20257427	1	1	yes	characteristic
994	C₂	#20257458	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₂×C₄₇×#520	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂²×#41×C₄₇	C₂²
hypercenter	C₂×#520	D₄₇
hypocenter	C₄₇	#34260
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#520

Complements

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

N	H ≅ G/N	type
1. #20246353	C₂	semidirect
2. #20246345	C₂	semidirect
3. #20246328	C₂	semidirect
4. #20246317	C₂	semidirect
5. #20246298	C₂	semidirect
6. D₄×C₄⋊Dic₄₇	C₂	semidirect
7. #20246265	C₂	semidirect
8. #20246257	C₂	semidirect
9. #20246248	C₂	semidirect
10. #20246248	C₂	semidirect
13. #20246039	C₂	semidirect
14. #20246021	C₂	semidirect
15. #20245997	C₂	semidirect
16. #20245991	C₂	semidirect
17. #20245886	C₂	semidirect
18. #20245866	C₂	semidirect
19. #20245833	C₂	semidirect
20. C₂×#15689009	C₂	semidirect
21. #20245749	C₂	semidirect
22. C₄×D₄×Dic₄₇	C₂	semidirect
113. C₄₇×#520	C₄	semidirect
218. C₄×Q₈×C₄₇	C₂×C₄	semidirect
219. C₄×Q₈×C₄₇	C₂×C₄	semidirect
222. C₄×D₄×C₄₇	C₂×C₄	semidirect
223. C₄×D₄×C₄₇	C₂×C₄	semidirect
224. #117×C₄₇	C₂×C₄	semidirect
225. #117×C₄₇	C₂×C₄	semidirect
226. C₂×C₄⋊C₄×C₄₇	C₂×C₄	semidirect
227. C₂×C₄⋊C₄×C₄₇	C₂×C₄	semidirect
373. D₄×C₄₇	#117	semidirect
522. #520	Dic₄₇	semidirect
621. C₄₇	#34260	semidirect
637. C₄×Q₈	C₂×Dic₄₇	semidirect
638. C₄×Q₈	C₂×Dic₄₇	semidirect
645. C₄×D₄	C₂×Dic₄₇	semidirect
646. C₄×D₄	C₂×Dic₄₇	semidirect
648. #117	C₂×Dic₄₇	semidirect
649. #117	C₂×Dic₄₇	semidirect
665. C₂×C₄⋊C₄	C₂×Dic₄₇	semidirect
666. C₂×C₄⋊C₄	C₂×Dic₄₇	semidirect
871. D₄	#13093983	semidirect

Maximal subgroups

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

subgroup	index
#20246353	2
#20246345	2
#20246328	2
#20246317	2
#20246298	2
D₄×C₄⋊Dic₄₇	2
#20246265	2
#20246257	2
#20246248	2
#20246218	2
#20246039	2
#20246021	2
#20245997	2
#20245991	2
#20245886	2
#20245866	2
#20245833	2
C₂×#15689009	2
#20245749	2
C₄×D₄×Dic₄₇	2
C₂×C₄₇×#520	2
#34260	47