Subgroups — #26381601

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246574	C₂	1	2	yes	maximal
2	#20246569	C₂	1	2	yes	maximal
3	#20246494	C₂	1	2	yes	maximal
4	#20246488	C₂	1	1	yes	maximal, characteristic
5	#20246488	C₂	1	1	yes	maximal, characteristic
6	#20246478	C₂	1	1	yes	maximal, characteristic
7	#20246353	C₂	1	1	yes	maximal, characteristic
8	#20246353	C₂	1	1	yes	maximal, characteristic
9	#20246353	C₂	1	2	yes	maximal
10	#20246345	C₂	1	1	yes	maximal, characteristic
11	#20246345	C₂	1	1	yes	maximal, characteristic
12	#20246194	C₂	1	2	yes	maximal
13	#20246194	C₂	1	2	yes	maximal
14	#20246137	C₂	1	1	yes	maximal, characteristic
15	#20246137	C₂	1	2	yes	maximal
16	#20246130	C₂	1	1	yes	maximal, characteristic
17	#20246039	C₂	1	2	yes	maximal
18	#20246039	C₂	1	1	yes	maximal, characteristic
19	#20246039	C₂	1	1	yes	maximal, characteristic
20	#125×Dic₄₇	C₂	1	1	yes	maximal, characteristic
21	#20245866	C₂	1	1	yes	maximal, characteristic
22	#20245866	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄₇×#557	C₂	1	1	yes	maximal, characteristic
24	#15689030	C₂²	1	1	yes	characteristic
25	#15689030	C₂²	1	2	yes	—
26	#15689030	C₂²	1	1	yes	characteristic
27	#15689030	C₂²	1	1	yes	characteristic
28	#15689030	C₂²	1	2	yes	—
29	#15689030	C₂²	1	1	yes	characteristic
30	#15689030	C₂²	1	2	yes	—
31	#15689030	C₂²	1	2	yes	—
32	#15689030	C₂²	1	1	yes	characteristic
33	#15689030	C₂²	1	2	yes	—
34	#15689030	C₂²	1	1	yes	characteristic
35	#15689022	C₂²	1	2	yes	—
36	#15689022	C₂²	1	2	yes	—
37	#15689022	C₂²	1	1	yes	characteristic
38	#15689022	C₂²	1	1	yes	characteristic
39	#15689022	C₂²	1	1	yes	characteristic
40	#15689022	C₂²	1	1	yes	characteristic
41	#15689022	C₂²	1	1	yes	characteristic
42	#15689022	C₂²	1	2	yes	—
43	#15689022	C₂²	1	2	yes	—
44	#15689022	C₂²	1	1	yes	characteristic
45	#15689022	C₂²	1	1	yes	characteristic
46	#15689022	C₂²	1	1	yes	characteristic
47	#15689022	C₂²	1	2	yes	—
48	#15689009	C₂²	1	1	yes	characteristic
49	#15689009	C₂²	1	2	yes	—
50	#15689009	C₂²	1	2	yes	—
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	2	yes	—
58	#15689009	C₂²	1	2	yes	—
59	#15689009	C₂²	1	2	yes	—
60	#15689009	C₂²	1	2	yes	—
61	#15689009	C₂²	1	2	yes	—
62	#15689009	C₂²	1	2	yes	—
63	#15689009	C₂²	1	2	yes	—
64	#15689009	C₂²	1	2	yes	—
65	#15689009	C₂²	1	2	yes	—
66	#15689009	C₂²	1	2	yes	—
67	#15689009	C₂²	1	2	yes	—
68	#15689009	C₂²	1	2	yes	—
69	#15689009	C₂²	1	1	yes	characteristic
70	#15689009	C₂²	1	2	yes	—
71	#15689009	C₂²	1	2	yes	—
72	#15689009	C₂²	1	2	yes	—
73	#15689009	C₂²	1	1	yes	characteristic
74	#15689009	C₂²	1	1	yes	characteristic
75	#15689009	C₂²	1	2	yes	—
76	#15688993	C₂²	1	1	yes	characteristic
77	#15688991	C₂²	1	2	yes	—
78	#15688991	C₂²	1	2	yes	—
79	#15688991	C₂²	1	2	yes	—
80	#15688991	C₂²	1	2	yes	—
81	#15688989	C₂²	1	2	yes	—
82	#15688989	C₂²	1	2	yes	—
83	#15688989	C₂²	1	2	yes	—
84	#15688989	C₂²	1	1	yes	characteristic
85	#15688989	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
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	1	yes	characteristic
94	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
95	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
96	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
97	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
98	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
99	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
100	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
101	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
102	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
103	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
104	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
105	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
106	#15688969	C₂²	1	2	yes	—
107	#15688969	C₂²	1	1	yes	characteristic
108	#15688969	C₂²	1	1	yes	characteristic
109	#15688969	C₂²	1	2	yes	—
110	#15688969	C₂²	1	2	yes	—
111	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
112	C₄₇×#557	C₄	1	16	yes	complemented
113	C₂×C₄⋊Q₈×C₄₇	C₂²	1	2	yes	—
114	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
115	C₂×#125×C₄₇	C₂²	1	2	yes	—
116	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
117	C₂×#125×C₄₇	C₂²	1	2	yes	—
118	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
119	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
120	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	—
121	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
122	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
123	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
124	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
125	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
126	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
127	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
128	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
129	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
130	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
131	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
132	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
133	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
134	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
135	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
136	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
137	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
138	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
139	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
140	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
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	1	yes	characteristic
145	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
146	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
147	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
148	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
149	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
150	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
151	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
152	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
153	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
154	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
155	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
156	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
157	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
158	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
159	C₄₇⋊#95	C₂³	1	1	yes	characteristic
160	C₄₇⋊#95	C₂³	1	2	yes	—
161	C₄₇⋊#95	C₂³	1	1	yes	characteristic
162	C₄₇⋊#95	C₂³	1	2	yes	—
163	C₄₇⋊#95	C₂³	1	2	yes	—
164	C₄₇⋊#95	C₂³	1	1	yes	characteristic
165	C₄₇⋊#95	C₂³	1	2	yes	—
166	C₄₇⋊#95	C₂³	1	1	yes	characteristic
167	C₄₇⋊#95	C₂³	1	2	yes	—
168	C₄₇⋊#95	C₂³	1	2	yes	—
169	C₄₇⋊#95	C₂³	1	2	yes	—
170	C₄₇⋊#95	C₂³	1	2	yes	—
171	C₄₇⋊#95	C₂³	1	1	yes	characteristic
172	C₄₇⋊#95	C₂³	1	1	yes	characteristic
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	2	yes	—
177	C₄₇⋊#95	C₂³	1	1	yes	characteristic
178	C₄₇⋊#95	C₂³	1	1	yes	characteristic
179	C₄₇⋊#95	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
186	C₄₇⋊#95	C₂³	1	1	yes	characteristic
187	C₄₇⋊#95	C₂³	1	2	yes	—
188	C₄₇⋊#95	C₂³	1	2	yes	—
189	C₄₇⋊#95	C₂³	1	2	yes	—
190	C₄₇⋊#95	C₂³	1	2	yes	—
191	C₄₇⋊#95	C₂³	1	2	yes	—
192	C₄₇⋊#95	C₂³	1	2	yes	—
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	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
201	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
202	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
203	C₄⋊Q₈×C₄₇	C₂×C₄	1	16	yes	—
204	C₄⋊Q₈×C₄₇	C₂×C₄	1	8	yes	—
205	#125×C₄₇	C₂×C₄	1	16	yes	—
206	#125×C₄₇	C₂×C₄	1	8	yes	—
207	#125×C₄₇	C₂×C₄	1	16	yes	—
208	#125×C₄₇	C₂×C₄	1	8	yes	—
209	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	—
210	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	—
211	C₄×Q₈×C₄₇	C₂×C₄	1	16	yes	—
212	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	—
213	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	—
214	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
216	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
220	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
221	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
222	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
224	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
225	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
226	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
228	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
230	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
233	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
234	C₂×Q₈×C₄₇	—	2	2	no	—
235	C₂×Q₈×C₄₇	—	2	2	no	—
236	C₂×Q₈×C₄₇	—	4	1	no	—
237	C₂×Q₈×C₄₇	—	4	2	no	—
238	C₂×Q₈×C₄₇	—	4	2	no	—
239	C₂×Q₈×C₄₇	—	4	1	no	—
240	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
241	C₂×Q₈×C₄₇	C₂²×C₄	1	8	yes	—
242	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
243	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
244	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
245	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
246	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
247	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
248	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
249	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
250	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
251	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
253	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
254	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
255	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
256	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
257	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
258	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
259	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
260	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
261	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
262	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
263	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
264	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
265	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
266	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
267	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
268	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
269	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
270	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
271	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
272	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
273	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
274	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
275	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
276	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
277	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
278	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
279	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
280	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
281	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
282	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
283	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
284	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
285	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
286	C₄⋊Dic₄₇	—	2	2	no	—
287	C₄⋊Dic₄₇	—	2	2	no	—
288	C₄⋊Dic₄₇	—	2	2	no	—
289	C₄⋊Dic₄₇	—	2	2	no	—
290	C₄⋊Dic₄₇	—	2	2	no	—
291	C₄⋊Dic₄₇	—	2	2	no	—
292	C₄⋊Dic₄₇	—	4	1	no	—
293	C₄⋊Dic₄₇	—	4	1	no	—
294	C₄⋊Dic₄₇	—	4	2	no	—
295	C₄⋊Dic₄₇	—	4	2	no	—
296	C₄⋊Dic₄₇	—	4	2	no	—
297	C₄⋊Dic₄₇	—	4	2	no	—
298	C₄⋊Dic₄₇	—	4	1	no	—
299	C₄⋊Dic₄₇	—	4	2	no	—
300	C₄⋊Dic₄₇	—	4	2	no	—
301	C₄⋊Dic₄₇	—	4	2	no	—
302	C₄⋊Dic₄₇	—	4	1	no	—
303	C₄⋊Dic₄₇	—	4	2	no	—
304	C₄×Dic₄₇	—	2	2	no	—
305	C₄×Dic₄₇	—	2	2	no	—
306	C₄×Dic₄₇	—	2	2	no	—
307	C₄×Dic₄₇	—	2	2	no	—
308	C₄×Dic₄₇	—	2	2	no	—
309	C₄×Dic₄₇	—	2	4	no	—
310	C₄×Dic₄₇	—	4	2	no	—
311	C₄×Dic₄₇	—	4	1	no	—
312	C₄×Dic₄₇	—	4	2	no	—
313	C₄×Dic₄₇	—	4	2	no	—
314	C₄×Dic₄₇	—	4	2	no	—
315	C₄×Dic₄₇	—	4	2	no	—
316	C₄×Dic₄₇	—	4	2	no	—
317	C₄×Dic₄₇	—	4	2	no	—
318	C₄×Dic₄₇	—	4	2	no	—
319	C₄×Dic₄₇	—	4	1	no	—
320	C₄×Dic₄₇	—	4	1	no	—
321	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
322	Q₈×C₄₇	—	2	8	no	—
323	Q₈×C₄₇	—	4	4	no	—
324	Q₈×C₄₇	—	4	8	no	—
325	C₂×C₄×C₄₇	—	2	1	no	—
326	C₂×C₄×C₄₇	—	2	2	no	—
327	C₂×C₄×C₄₇	—	2	1	no	—
328	C₂×C₄×C₄₇	—	2	1	no	—
329	C₂×C₄×C₄₇	—	2	2	no	—
330	C₂×C₄×C₄₇	—	2	2	no	—
331	C₂×C₄×C₄₇	—	2	1	no	—
332	C₂×C₄×C₄₇	—	2	1	no	—
333	C₂×C₄×C₄₇	—	2	1	no	—
334	C₂×C₄×C₄₇	—	2	2	no	—
335	C₂×C₄×C₄₇	—	2	2	no	—
336	C₂×C₄×C₄₇	—	2	2	no	—
337	C₂×C₄×C₄₇	—	2	1	no	—
338	C₂×C₄×C₄₇	—	2	1	no	—
339	C₂×C₄×C₄₇	—	2	2	no	—
340	C₂×C₄×C₄₇	—	2	1	no	—
341	C₂×C₄×C₄₇	—	2	2	no	—
342	C₂×C₄×C₄₇	—	2	1	no	—
343	C₂×C₄×C₄₇	—	2	1	no	—
344	C₂×C₄×C₄₇	—	2	1	no	—
345	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
346	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
347	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
348	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
349	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
350	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
351	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
352	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
353	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
354	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
355	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
356	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
357	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
358	C₂×Dic₄₇	—	2	1	no	—
359	C₂×Dic₄₇	—	2	1	no	—
360	C₂×Dic₄₇	—	2	1	no	—
361	C₂×Dic₄₇	—	2	2	no	—
362	C₂×Dic₄₇	—	2	1	no	—
363	C₂×Dic₄₇	—	2	1	no	—
364	C₂×Dic₄₇	—	2	1	no	—
365	C₂×Dic₄₇	—	2	1	no	—
366	C₂×Dic₄₇	—	2	1	no	—
367	C₂×Dic₄₇	—	2	1	no	—
368	C₂×Dic₄₇	—	2	1	no	—
369	C₂×Dic₄₇	—	2	1	no	—
370	C₂×Dic₄₇	—	2	1	no	—
371	C₂×Dic₄₇	—	2	2	no	—
372	C₂×Dic₄₇	—	2	2	no	—
373	C₂×Dic₄₇	—	2	2	no	—
374	C₂×Dic₄₇	—	2	2	no	—
375	C₂×Dic₄₇	—	2	2	no	—
376	C₂×Dic₄₇	—	2	2	no	—
377	C₂×Dic₄₇	—	2	1	no	—
378	C₂×Dic₄₇	—	2	1	no	—
379	C₂×Dic₄₇	—	2	1	no	—
380	C₂×Dic₄₇	—	2	2	no	—
381	C₂×Dic₄₇	—	2	1	no	—
382	C₂×Dic₄₇	—	2	2	no	—
383	C₂×Dic₄₇	—	2	1	no	—
384	C₂×Dic₄₇	—	2	1	no	—
385	C₂×Dic₄₇	—	2	2	no	—
386	C₂×Dic₄₇	—	2	1	no	—
387	C₂×Dic₄₇	—	2	2	no	—
388	C₂×Dic₄₇	—	2	1	no	—
389	C₂×Dic₄₇	—	2	2	no	—
390	C₂×Dic₄₇	—	2	1	no	—
391	C₂×Dic₄₇	—	2	1	no	—
392	C₂×Dic₄₇	—	2	1	no	—
393	C₂×Dic₄₇	2₋¹⁺⁴	1	2	yes	—
394	#34490	—	47	1	no	maximal, Sylow
395	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
396	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
397	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
398	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
399	C₂²×C₄₇	#585	1	1	yes	characteristic
400	C₂²×C₄₇	#585	1	1	yes	characteristic
401	C₂²×C₄₇	#585	1	1	yes	characteristic
402	C₄×C₄₇	—	2	4	no	—
403	C₄×C₄₇	—	2	2	no	—
404	C₄×C₄₇	—	2	4	no	—
405	C₄×C₄₇	—	2	4	no	—
406	C₄×C₄₇	—	2	2	no	—
407	C₄×C₄₇	—	2	2	no	—
408	C₄×C₄₇	—	2	2	no	—
409	C₄×C₄₇	—	2	4	no	—
410	C₄×C₄₇	—	2	2	no	—
411	C₄×C₄₇	—	2	2	no	—
412	C₄×C₄₇	#519	1	4	yes	—
413	Dic₄₇	—	2	2	no	—
414	Dic₄₇	—	4	1	no	—
415	Dic₄₇	—	4	2	no	—
416	Dic₄₇	—	4	1	no	—
417	Dic₄₇	—	4	2	no	—
418	Dic₄₇	—	4	2	no	—
419	Dic₄₇	—	4	1	no	—
420	Dic₄₇	—	4	1	no	—
421	Dic₄₇	—	4	1	no	—
422	Dic₄₇	—	4	1	no	—
423	Dic₄₇	—	4	1	no	—
424	Dic₄₇	—	4	2	no	—
425	C₂×#557	D₄₇	1	1	yes	characteristic
426	#2382	—	47	2	no	—
427	#2381	—	47	2	no	—
428	#2371	—	47	2	no	—
429	#2370	—	47	1	no	—
430	#2370	—	47	1	no	—
431	#2369	—	47	1	no	—
432	#2356	—	47	1	no	—
433	#2356	—	47	2	no	—
434	#2356	—	47	1	no	—
435	#2355	—	47	1	no	—
436	#2355	—	47	1	no	—
437	#2336	—	47	2	no	—
438	#2336	—	47	2	no	—
439	#2331	—	47	1	no	—
440	#2331	—	47	2	no	—
441	#2330	—	47	1	no	—
442	#2320	—	47	1	no	—
443	#2320	—	47	1	no	—
444	#2320	—	47	2	no	—
445	C₄×#125	—	47	1	no	—
446	#2295	—	47	1	no	—
447	#2295	—	47	1	no	—
448	C₂×C₄₇	C₂×#519	1	1	yes	characteristic
449	C₂×C₄₇	#3428	1	1	yes	characteristic
450	C₂×C₄₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
451	C₂×C₄₇	#3555	1	1	yes	characteristic
452	C₂×C₄₇	#3557	1	1	yes	characteristic
453	C₂×C₄₇	#3563	1	1	yes	characteristic
454	C₂×C₄₇	#3565	1	1	yes	characteristic
455	#557	Dic₄₇	1	16	yes	complemented
456	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
457	C₂×C₄⋊Q₈	C₂×D₄₇	1	2	yes	—
458	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
459	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
460	C₂×#125	C₂×D₄₇	1	2	yes	—
461	C₂×#125	C₂×D₄₇	1	2	yes	—
462	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
463	C₂×C₄×Q₈	C₂×D₄₇	1	2	yes	—
464	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
465	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
466	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
467	#391	—	47	1	no	—
468	#391	—	47	2	no	—
469	#391	—	47	1	no	—
470	#391	—	47	1	no	—
471	#391	—	47	2	no	—
472	#391	—	47	1	no	—
473	#391	—	47	2	no	—
474	#391	—	47	2	no	—
475	#391	—	47	2	no	—
476	#391	—	47	1	no	—
477	#391	—	47	1	no	—
478	#389	—	47	1	no	—
479	#389	—	47	1	no	—
480	#389	—	47	2	no	—
481	#389	—	47	1	no	—
482	#389	—	47	1	no	—
483	#389	—	47	2	no	—
484	#389	—	47	2	no	—
485	#389	—	47	1	no	—
486	#389	—	47	2	no	—
487	#389	—	47	1	no	—
488	#389	—	47	2	no	—
489	#389	—	47	1	no	—
490	#389	—	47	1	no	—
491	#387	—	47	2	no	—
492	#387	—	47	2	no	—
493	#387	—	47	1	no	—
494	#387	—	47	2	no	—
495	#387	—	47	2	no	—
496	#387	—	47	2	no	—
497	#387	—	47	2	no	—
498	#387	—	47	2	no	—
499	#387	—	47	2	no	—
500	#387	—	47	2	no	—
501	#387	—	47	2	no	—
502	#387	—	47	2	no	—
503	#387	—	47	2	no	—
504	#387	—	47	2	no	—
505	#387	—	47	2	no	—
506	#387	—	47	2	no	—
507	#387	—	47	1	no	—
508	#387	—	47	2	no	—
509	#387	—	47	2	no	—
510	#387	—	47	2	no	—
511	#387	—	47	2	no	—
512	#387	—	47	2	no	—
513	#387	—	47	2	no	—
514	#387	—	47	2	no	—
515	#387	—	47	2	no	—
516	#387	—	47	1	no	—
517	#387	—	47	1	no	—
518	#387	—	47	2	no	—
519	#384	—	47	1	no	—
520	#383	—	47	2	no	—
521	#383	—	47	2	no	—
522	#383	—	47	2	no	—
523	#383	—	47	2	no	—
524	#382	—	47	1	no	—
525	#382	—	47	2	no	—
526	#382	—	47	2	no	—
527	#382	—	47	2	no	—
528	#382	—	47	1	no	—
529	C₄×C₄⋊C₄	—	47	2	no	—
530	C₄×C₄⋊C₄	—	47	1	no	—
531	C₄×C₄⋊C₄	—	47	1	no	—
532	C₄×C₄⋊C₄	—	47	2	no	—
533	C₄×C₄⋊C₄	—	47	1	no	—
534	C₄×C₄⋊C₄	—	47	1	no	—
535	C₄×C₄⋊C₄	—	47	1	no	—
536	C₄×C₄⋊C₄	—	47	1	no	—
537	C₄×C₄⋊C₄	—	47	2	no	—
538	C₄×C₄⋊C₄	—	47	2	no	—
539	C₄×C₄⋊C₄	—	47	2	no	—
540	C₄×C₄⋊C₄	—	47	2	no	—
541	C₄×C₄⋊C₄	—	47	2	no	—
542	C₄×C₄⋊C₄	—	47	1	no	—
543	C₄×C₄⋊C₄	—	47	1	no	—
544	C₄×C₄⋊C₄	—	47	2	no	—
545	C₄×C₄⋊C₄	—	47	1	no	—
546	C₄×C₄⋊C₄	—	47	1	no	—
547	C₄×C₄⋊C₄	—	47	1	no	—
548	C₄×C₄⋊C₄	—	47	1	no	—
549	#376	—	47	1	no	—
550	#376	—	47	1	no	—
551	#376	—	47	2	no	—
552	#376	—	47	2	no	—
553	#376	—	47	2	no	—
554	C₄³	—	47	1	no	—
555	C₄₇	#34490	1	1	yes	characteristic, complemented, Sylow
556	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
557	C₂²×Q₈	C₂²×D₄₇	1	2	yes	—
558	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
559	C₄⋊Q₈	C₂×Dic₄₇	1	8	yes	—
560	C₄⋊Q₈	C₂×Dic₄₇	1	16	yes	—
561	#125	C₂×Dic₄₇	1	8	yes	—
562	#125	C₂×Dic₄₇	1	8	yes	—
563	#125	C₂×Dic₄₇	1	16	yes	—
564	#125	C₂×Dic₄₇	1	16	yes	—
565	C₄×Q₈	C₂×Dic₄₇	1	8	yes	—
566	C₄×Q₈	C₂×Dic₄₇	1	8	yes	—
567	C₄×Q₈	C₂×Dic₄₇	1	16	yes	—
568	C₄×Q₈	C₂×Dic₄₇	1	8	yes	—
569	C₄×Q₈	C₂×Dic₄₇	1	8	yes	—
570	C₂×C₄⋊C₄	—	47	1	no	—
571	C₂×C₄⋊C₄	—	47	1	no	—
572	C₂×C₄⋊C₄	—	47	1	no	—
573	C₂×C₄⋊C₄	—	47	1	no	—
574	C₂×C₄⋊C₄	—	47	1	no	—
575	C₂×C₄⋊C₄	—	47	1	no	—
576	C₂×C₄⋊C₄	—	47	1	no	—
577	C₂×C₄⋊C₄	—	47	2	no	—
578	C₂×C₄⋊C₄	—	47	2	no	—
579	C₂×C₄⋊C₄	—	47	2	no	—
580	C₂×C₄⋊C₄	—	47	2	no	—
581	C₂×C₄⋊C₄	—	47	2	no	—
582	C₂×C₄⋊C₄	—	47	2	no	—
583	C₂×C₄⋊C₄	—	47	1	no	—
584	C₂×C₄⋊C₄	—	47	1	no	—
585	C₂×C₄⋊C₄	—	47	2	no	—
586	C₂×C₄⋊C₄	—	47	2	no	—
587	C₂×C₄⋊C₄	—	47	1	no	—
588	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
590	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
593	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
594	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
598	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
599	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
600	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
601	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
602	C₂×C₄²	—	47	1	no	—
603	C₂×C₄²	—	47	1	no	—
604	C₂×C₄²	—	47	1	no	—
605	C₂×C₄²	—	47	2	no	—
606	C₂×C₄²	—	47	1	no	—
607	C₂×C₄²	—	47	1	no	—
608	C₂×C₄²	—	47	1	no	—
609	C₂×C₄²	—	47	1	no	—
610	C₂×C₄²	—	47	1	no	—
611	C₂×C₄²	—	47	2	no	—
612	C₂×C₄²	—	47	2	no	—
613	C₂×C₄²	—	47	2	no	—
614	C₂×C₄²	—	47	2	no	—
615	C₂×C₄²	—	47	2	no	—
616	C₂×C₄²	—	47	2	no	—
617	C₂×C₄²	—	47	2	no	—
618	C₂×C₄²	—	47	2	no	—
619	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
620	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
621	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
622	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
623	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
624	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
625	#95	—	47	1	no	—
626	#95	—	47	2	no	—
627	#95	—	47	1	no	—
628	#95	—	47	2	no	—
629	#95	—	47	2	no	—
630	#95	—	47	1	no	—
631	#95	—	47	2	no	—
632	#95	—	47	1	no	—
633	#95	—	47	2	no	—
634	#95	—	47	2	no	—
635	#95	—	47	2	no	—
636	#95	—	47	2	no	—
637	#95	—	47	1	no	—
638	#95	—	47	1	no	—
639	#95	—	47	1	no	—
640	#95	—	47	1	no	—
641	#95	—	47	1	no	—
642	#95	—	47	2	no	—
643	#95	—	47	1	no	—
644	#95	—	47	1	no	—
645	#95	—	47	1	no	—
646	#95	—	47	2	no	—
647	#95	—	47	2	no	—
648	#95	—	47	2	no	—
649	#95	—	47	2	no	—
650	#95	—	47	2	no	—
651	#95	—	47	2	no	—
652	#95	—	47	2	no	—
653	#95	—	47	2	no	—
654	#95	—	47	2	no	—
655	#95	—	47	1	no	—
656	#95	—	47	2	no	—
657	#95	—	47	2	no	—
658	#95	—	47	2	no	—
659	#95	—	47	2	no	—
660	#95	—	47	2	no	—
661	#95	—	47	2	no	—
662	#95	—	47	2	no	—
663	#95	—	47	2	no	—
664	#95	—	47	1	no	—
665	#95	—	47	2	no	—
666	C₂×Q₈	—	2	2	no	—
667	C₂×Q₈	—	2	2	no	—
668	C₂×Q₈	—	4	1	no	—
669	C₂×Q₈	—	4	2	no	—
670	C₂×Q₈	—	4	2	no	—
671	C₂×Q₈	—	4	1	no	—
672	C₂×Q₈	C₂²×Dic₄₇	1	4	yes	—
673	C₂×Q₈	C₂²×Dic₄₇	1	8	yes	—
674	C₂×Q₈	C₂²×Dic₄₇	1	4	yes	—
675	C₂²×C₄	—	47	1	no	—
676	C₂²×C₄	—	47	1	no	—
677	C₂²×C₄	—	47	2	no	—
678	C₂²×C₄	—	47	1	no	—
679	C₂²×C₄	—	47	1	no	—
680	C₂²×C₄	—	47	1	no	—
681	C₂²×C₄	—	47	1	no	—
682	C₂²×C₄	—	47	1	no	—
683	C₂²×C₄	—	47	1	no	—
684	C₂²×C₄	—	47	2	no	—
685	C₂²×C₄	—	47	2	no	—
686	C₂²×C₄	—	47	2	no	—
687	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
688	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
689	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
690	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
691	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
692	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
693	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
694	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
695	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
696	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
697	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
698	C₄⋊C₄	—	94	2	no	—
699	C₄⋊C₄	—	94	2	no	—
700	C₄⋊C₄	—	94	2	no	—
701	C₄⋊C₄	—	94	2	no	—
702	C₄⋊C₄	—	94	2	no	—
703	C₄⋊C₄	—	94	2	no	—
704	C₄⋊C₄	—	188	1	no	—
705	C₄⋊C₄	—	188	1	no	—
706	C₄⋊C₄	—	188	2	no	—
707	C₄⋊C₄	—	188	2	no	—
708	C₄⋊C₄	—	188	2	no	—
709	C₄⋊C₄	—	188	2	no	—
710	C₄⋊C₄	—	188	2	no	—
711	C₄⋊C₄	—	188	1	no	—
712	C₄⋊C₄	—	188	2	no	—
713	C₄⋊C₄	—	188	2	no	—
714	C₄⋊C₄	—	188	2	no	—
715	C₄⋊C₄	—	188	1	no	—
716	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
717	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
718	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
719	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
720	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
721	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
722	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
723	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
724	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
725	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
726	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
727	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
728	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
729	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
730	C₄²	—	94	2	no	—
731	C₄²	—	94	4	no	—
732	C₄²	—	94	2	no	—
733	C₄²	—	94	2	no	—
734	C₄²	—	94	2	no	—
735	C₄²	—	94	2	no	—
736	C₄²	—	188	2	no	—
737	C₄²	—	188	2	no	—
738	C₄²	—	188	2	no	—
739	C₄²	—	188	1	no	—
740	C₄²	—	188	2	no	—
741	C₄²	—	188	2	no	—
742	C₄²	—	188	1	no	—
743	C₄²	—	188	2	no	—
744	C₄²	—	188	1	no	—
745	C₄²	—	188	2	no	—
746	C₄²	—	188	2	no	—
747	C₄²	C₂²×Dic₄₇	1	8	yes	—
748	C₄²	C₂²×Dic₄₇	1	8	yes	—
749	C₄²	C₂²×Dic₄₇	1	4	yes	—
750	C₄²	C₂²×Dic₄₇	1	4	yes	—
751	C₄²	C₂²×Dic₄₇	1	8	yes	—
752	C₄²	C₂²×Dic₄₇	1	4	yes	—
753	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
754	Q₈	—	2	8	no	—
755	Q₈	—	4	4	no	—
756	Q₈	—	4	8	no	—
757	C₂×C₄	—	2	1	no	—
758	C₂×C₄	—	2	2	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	2	no	—
762	C₂×C₄	—	2	2	no	—
763	C₂×C₄	—	2	1	no	—
764	C₂×C₄	—	2	2	no	—
765	C₂×C₄	—	2	2	no	—
766	C₂×C₄	—	2	1	no	—
767	C₂×C₄	—	2	1	no	—
768	C₂×C₄	—	2	2	no	—
769	C₂×C₄	—	2	2	no	—
770	C₂×C₄	—	2	1	no	—
771	C₂×C₄	—	2	1	no	—
772	C₂×C₄	—	2	1	no	—
773	C₂×C₄	—	2	1	no	—
774	C₂×C₄	—	2	1	no	—
775	C₂×C₄	—	2	2	no	—
776	C₂×C₄	—	2	1	no	—
777	C₂×C₄	—	47	2	no	—
778	C₂×C₄	—	94	1	no	—
779	C₂×C₄	—	94	1	no	—
780	C₂×C₄	—	94	1	no	—
781	C₂×C₄	—	94	2	no	—
782	C₂×C₄	—	94	1	no	—
783	C₂×C₄	—	94	1	no	—
784	C₂×C₄	—	94	1	no	—
785	C₂×C₄	—	94	1	no	—
786	C₂×C₄	—	94	1	no	—
787	C₂×C₄	—	94	1	no	—
788	C₂×C₄	—	94	1	no	—
789	C₂×C₄	—	94	1	no	—
790	C₂×C₄	—	94	1	no	—
791	C₂×C₄	—	94	2	no	—
792	C₂×C₄	—	94	2	no	—
793	C₂×C₄	—	94	2	no	—
794	C₂×C₄	—	94	2	no	—
795	C₂×C₄	—	94	2	no	—
796	C₂×C₄	—	94	2	no	—
797	C₂×C₄	—	94	1	no	—
798	C₂×C₄	—	94	1	no	—
799	C₂×C₄	—	94	1	no	—
800	C₂×C₄	—	94	1	no	—
801	C₂×C₄	—	94	1	no	—
802	C₂×C₄	—	94	2	no	—
803	C₂×C₄	—	94	1	no	—
804	C₂×C₄	—	94	2	no	—
805	C₂×C₄	—	94	1	no	—
806	C₂×C₄	—	94	2	no	—
807	C₂×C₄	—	94	1	no	—
808	C₂×C₄	—	94	2	no	—
809	C₂×C₄	—	94	1	no	—
810	C₂×C₄	—	94	2	no	—
811	C₂×C₄	—	94	1	no	—
812	C₂×C₄	—	94	1	no	—
813	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
814	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
815	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
816	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
817	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
818	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
819	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
820	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
821	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
822	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
823	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
824	C₂×C₄	#13094072	1	2	yes	—
825	C₂×C₄	#13094072	1	2	yes	—
826	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
827	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
828	C₂²	C₂×#13094072	1	1	yes	characteristic
829	C₂²	C₂×#13094072	1	1	yes	characteristic
830	C₂²	#15689959	1	1	yes	characteristic
831	C₂²	#15689959	1	1	yes	characteristic
832	C₂²	#15689960	1	1	yes	characteristic
833	C₄	—	2	4	no	—
834	C₄	—	2	2	no	—
835	C₄	—	2	2	no	—
836	C₄	—	2	4	no	—
837	C₄	—	2	4	no	—
838	C₄	—	2	2	no	—
839	C₄	—	2	2	no	—
840	C₄	—	2	4	no	—
841	C₄	—	2	2	no	—
842	C₄	—	2	2	no	—
843	C₄	—	94	2	no	—
844	C₄	—	188	1	no	—
845	C₄	—	188	2	no	—
846	C₄	—	188	1	no	—
847	C₄	—	188	2	no	—
848	C₄	—	188	2	no	—
849	C₄	—	188	1	no	—
850	C₄	—	188	1	no	—
851	C₄	—	188	1	no	—
852	C₄	—	188	1	no	—
853	C₄	—	188	1	no	—
854	C₄	—	188	2	no	—
855	C₄	#15689601	1	4	yes	—
856	C₂	C₂×#15689601	1	1	yes	characteristic
857	C₂	#20256591	1	1	yes	characteristic
858	C₂	2₋¹⁺⁴×Dic₄₇	1	1	yes	characteristic
859	C₂	#20257868	1	1	yes	characteristic
860	C₂	#20257895	1	1	yes	characteristic
861	C₂	#20257984	1	1	yes	characteristic
862	C₂	#20258040	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₂×C₄₇×#557	C₂
socle, prime radical, cosocle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×#557	D₄₇
hypocenter	C₄₇	#34490
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#557

Complements

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

N	H ≅ G/N	type
112. C₄₇×#557	C₄	semidirect
455. #557	Dic₄₇	semidirect
555. C₄₇	#34490	semidirect

Maximal subgroups

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

subgroup	index
#20246574	2
#20246569	2
#20246494	2
#20246488	2
#20246478	2
#20246353	2
#20246345	2
#20246194	2
#20246137	2
#20246130	2
#20246039	2
#125×Dic₄₇	2
#20245866	2
C₂×C₄₇×#557	2
#34490	47