Subgroups — D₄₇×#2836 #26422518

Order 12032.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251594	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251593	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251592	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251591	C₂	1	1	yes	maximal, characteristic, complemented
5	#20251590	C₂	1	1	yes	maximal, characteristic, complemented
6	#20251589	C₂	1	1	yes	maximal, characteristic, complemented
7	#20251588	C₂	1	1	yes	maximal, characteristic, complemented
8	#20251587	C₂	1	1	yes	maximal, characteristic, complemented
9	#20251586	C₂	1	1	yes	maximal, characteristic, complemented
10	#20251585	C₂	1	1	yes	maximal, characteristic, complemented
11	#20251584	C₂	1	1	yes	maximal, characteristic, complemented
12	#20251583	C₂	1	1	yes	maximal, characteristic, complemented
13	#20251582	C₂	1	1	yes	maximal, characteristic, complemented
14	#20251581	C₂	1	1	yes	maximal, characteristic, complemented
15	#20251580	C₂	1	1	yes	maximal, characteristic, complemented
16	#400×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
17	#400×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
18	#399×D₄₇	C₂	1	1	yes	maximal, characteristic
19	#398×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
20	#398×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
21	#398×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	#398×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	#397×D₄₇	C₂	1	1	yes	maximal, characteristic
24	#397×D₄₇	C₂	1	1	yes	maximal, characteristic
25	#397×D₄₇	C₂	1	1	yes	maximal, characteristic
26	#396×D₄₇	C₂	1	1	yes	maximal, characteristic
27	#396×D₄₇	C₂	1	1	yes	maximal, characteristic
28	#389×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#388×D₄₇	C₂	1	1	yes	maximal, characteristic
30	#387×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#2836	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
33	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
53	#15689065	C₂²	1	1	yes	characteristic, complemented
54	#15689065	C₂²	1	1	yes	characteristic, complemented
55	#15689065	C₂²	1	1	yes	characteristic, complemented
56	#15689065	C₂²	1	1	yes	characteristic, complemented
57	#15689064	C₂²	1	1	yes	characteristic, complemented
58	#15689064	C₂²	1	1	yes	characteristic, complemented
59	#15689064	C₂²	1	1	yes	characteristic, complemented
60	#15689064	C₂²	1	1	yes	characteristic, complemented
61	#15689063	C₂²	1	1	yes	characteristic, complemented
62	#15689063	C₂²	1	1	yes	characteristic, complemented
63	#15689062	C₂²	1	1	yes	characteristic, complemented
64	#15689062	C₂²	1	1	yes	characteristic, complemented
65	#15689061	C₂²	1	1	yes	characteristic, complemented
66	#15689061	C₂²	1	1	yes	characteristic, complemented
67	#15689060	C₂²	1	1	yes	characteristic
68	#15689059	C₂²	1	1	yes	characteristic
69	#15689059	C₂²	1	1	yes	characteristic
70	#15689059	C₂²	1	1	yes	characteristic
71	#15689058	C₂²	1	1	yes	characteristic
72	#15689058	C₂²	1	1	yes	characteristic
73	#15689058	C₂²	1	1	yes	characteristic
74	#15689057	C₂²	1	1	yes	characteristic, complemented
75	#15689057	C₂²	1	1	yes	characteristic, complemented
76	#15689057	C₂²	1	1	yes	characteristic, complemented
77	#15689057	C₂²	1	1	yes	characteristic, complemented
78	#15689057	C₂²	1	1	yes	characteristic, complemented
79	#15689057	C₂²	1	1	yes	characteristic, complemented
80	#15689057	C₂²	1	1	yes	characteristic, complemented
81	#15689057	C₂²	1	1	yes	characteristic, complemented
82	#15689056	C₂²	1	1	yes	characteristic, complemented
83	#15689056	C₂²	1	1	yes	characteristic, complemented
84	#15689056	C₂²	1	1	yes	characteristic, complemented
85	#15689056	C₂²	1	1	yes	characteristic, complemented
86	#15689056	C₂²	1	1	yes	characteristic, complemented
87	#15689056	C₂²	1	1	yes	characteristic, complemented
88	#15689056	C₂²	1	1	yes	characteristic, complemented
89	#15689056	C₂²	1	1	yes	characteristic, complemented
90	#15689055	C₂²	1	1	yes	characteristic, complemented
91	#15689055	C₂²	1	1	yes	characteristic, complemented
92	#15689055	C₂²	1	1	yes	characteristic, complemented
93	#15689055	C₂²	1	1	yes	characteristic, complemented
94	#15689054	C₂²	1	1	yes	characteristic, complemented
95	#15689054	C₂²	1	1	yes	characteristic, complemented
96	#15689054	C₂²	1	1	yes	characteristic, complemented
97	#15689054	C₂²	1	1	yes	characteristic, complemented
98	#15689053	C₂²	1	1	yes	characteristic, complemented
99	#15689053	C₂²	1	1	yes	characteristic, complemented
100	#15689053	C₂²	1	1	yes	characteristic, complemented
101	#15689053	C₂²	1	1	yes	characteristic, complemented
102	#15689052	C₂²	1	1	yes	characteristic
103	#15689052	C₂²	1	1	yes	characteristic
104	#15689052	C₂²	1	1	yes	characteristic
105	#15689052	C₂²	1	1	yes	characteristic
106	#15689052	C₂²	1	1	yes	characteristic
107	#15689052	C₂²	1	1	yes	characteristic
108	#15689051	C₂²	1	1	yes	characteristic
109	#15689051	C₂²	1	1	yes	characteristic
110	#15689051	C₂²	1	1	yes	characteristic
111	#15689051	C₂²	1	1	yes	characteristic
112	#15689051	C₂²	1	1	yes	characteristic
113	#15689051	C₂²	1	1	yes	characteristic
114	#15689050	C₂²	1	1	yes	characteristic
115	#15689050	C₂²	1	1	yes	characteristic
116	#15689050	C₂²	1	1	yes	characteristic
117	#15689049	C₂²	1	1	yes	characteristic
118	#15689049	C₂²	1	1	yes	characteristic
119	#15689049	C₂²	1	1	yes	characteristic
120	#15689048	C₂²	1	1	yes	characteristic
121	#15689048	C₂²	1	1	yes	characteristic
122	#15689048	C₂²	1	1	yes	characteristic
123	#15689047	C₂²	1	1	yes	characteristic
124	#15689047	C₂²	1	1	yes	characteristic
125	#15689046	C₂²	1	1	yes	characteristic
126	#15689046	C₂²	1	1	yes	characteristic
127	#15689046	C₂²	1	1	yes	characteristic
128	#15689046	C₂²	1	1	yes	characteristic
129	#15689046	C₂²	1	1	yes	characteristic
130	#15689046	C₂²	1	1	yes	characteristic
131	#15689045	C₂²	1	1	yes	characteristic
132	#15689045	C₂²	1	1	yes	characteristic
133	#15689045	C₂²	1	1	yes	characteristic
134	#15689045	C₂²	1	1	yes	characteristic
135	#15689045	C₂²	1	1	yes	characteristic
136	#15689045	C₂²	1	1	yes	characteristic
137	#15689022	C₂²	1	1	yes	characteristic, complemented
138	#15689021	C₂²	1	1	yes	characteristic, complemented
139	#15689020	C₂²	1	1	yes	characteristic, complemented
140	#15689020	C₂²	1	1	yes	characteristic, complemented
141	#15689019	C₂²	1	1	yes	characteristic, complemented
142	#15689018	C₂²	1	1	yes	characteristic, complemented
143	#15689018	C₂²	1	1	yes	characteristic, complemented
144	#15689017	C₂²	1	1	yes	characteristic
145	#15689016	C₂²	1	1	yes	characteristic
146	#15689015	C₂²	1	1	yes	characteristic
147	#15689014	C₂²	1	1	yes	characteristic
148	#15689013	C₂²	1	1	yes	characteristic
149	#15689012	C₂²	1	1	yes	characteristic
150	#15689011	C₂²	1	1	yes	characteristic
151	#15689010	C₂²	1	1	yes	characteristic, complemented
152	#15689009	C₂²	1	1	yes	characteristic, complemented
153	#15689008	C₂²	1	1	yes	characteristic, complemented
154	#15689007	C₂²	1	1	yes	characteristic, complemented
155	#15689006	C₂²	1	1	yes	characteristic, complemented
156	#15689005	C₂²	1	1	yes	characteristic, complemented
157	#15689004	C₂²	1	1	yes	characteristic, complemented
158	#95×D₄₇	C₂²	1	1	yes	characteristic
159	#95×D₄₇	C₂²	1	1	yes	characteristic
160	#95×D₄₇	C₂²	1	1	yes	characteristic
161	#95×D₄₇	C₂²	1	1	yes	characteristic
162	#95×D₄₇	C₂²	1	1	yes	characteristic
163	#95×D₄₇	C₂²	1	1	yes	characteristic
164	#95×D₄₇	C₂²	1	1	yes	characteristic
165	#95×D₄₇	C₂²	1	1	yes	characteristic
166	#95×D₄₇	C₂²	1	1	yes	characteristic
167	#95×D₄₇	C₂²	1	1	yes	characteristic
168	#95×D₄₇	C₂²	1	1	yes	characteristic
169	#95×D₄₇	C₂²	1	1	yes	characteristic
170	#95×D₄₇	C₂²	1	1	yes	characteristic
171	#95×D₄₇	C₂²	1	1	yes	characteristic
172	C₄₇×#400	C₂²	1	1	yes	characteristic, complemented
173	C₄₇×#400	C₂²	1	1	yes	characteristic, complemented
174	C₄₇×#399	C₂²	1	1	yes	characteristic
175	C₄₇×#398	C₂²	1	1	yes	characteristic, complemented
176	C₄₇×#398	C₂²	1	1	yes	characteristic, complemented
177	C₄₇×#398	C₂²	1	1	yes	characteristic, complemented
178	C₄₇×#398	C₂²	1	1	yes	characteristic, complemented
179	C₄₇×#397	C₂²	1	1	yes	characteristic
180	C₄₇×#397	C₂²	1	1	yes	characteristic
181	C₄₇×#397	C₂²	1	1	yes	characteristic
182	C₄₇×#396	C₂²	1	1	yes	characteristic
183	C₄₇×#396	C₂²	1	1	yes	characteristic
184	C₄₇×#389	C₂²	1	1	yes	characteristic, complemented
185	C₄₇×#388	C₂²	1	1	yes	characteristic
186	C₄₇×#387	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₄⋊C₄×D₄₇	—	2	4	no	—
242	C₄⋊C₄×D₄₇	—	2	4	no	—
243	C₄⋊C₄×D₄₇	—	4	2	no	—
244	C₄⋊C₄×D₄₇	—	4	2	no	—
245	C₄⋊C₄×D₄₇	—	4	2	no	—
246	C₄⋊C₄×D₄₇	—	4	2	no	—
247	C₄⋊C₄×D₄₇	—	4	2	no	—
248	C₄⋊C₄×D₄₇	—	4	2	no	—
249	C₄⋊C₄×D₄₇	—	4	2	no	—
250	C₄⋊C₄×D₄₇	—	4	2	no	—
251	C₄⋊C₄×D₄₇	—	4	2	no	—
252	C₄⋊C₄×D₄₇	—	4	2	no	—
253	C₄⋊C₄×D₄₇	—	4	2	no	—
254	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂²⋊C₄×D₄₇	—	2	4	no	—
276	C₂²⋊C₄×D₄₇	—	4	2	no	—
277	C₂²⋊C₄×D₄₇	—	4	2	no	—
278	C₂²⋊C₄×D₄₇	—	4	2	no	—
279	C₂²⋊C₄×D₄₇	—	4	2	no	—
280	C₂²⋊C₄×D₄₇	—	4	2	no	—
281	C₂²⋊C₄×D₄₇	—	4	2	no	—
282	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
285	C₄²×D₄₇	—	4	2	no	—
286	C₄₇⋊#95	C₂³	1	1	yes	characteristic
287	C₄₇⋊#95	C₂³	1	1	yes	characteristic
288	C₄₇⋊#95	C₂³	1	1	yes	characteristic
289	C₄₇⋊#95	C₂³	1	1	yes	characteristic
290	C₄₇⋊#95	C₂³	1	1	yes	characteristic
291	C₄₇⋊#95	C₂³	1	1	yes	characteristic
292	C₄₇⋊#95	C₂³	1	1	yes	characteristic
293	C₄₇⋊#95	C₂³	1	1	yes	characteristic
294	C₄₇⋊#95	C₂³	1	1	yes	characteristic
295	C₄₇⋊#95	C₂³	1	1	yes	characteristic
296	C₄₇⋊#95	C₂³	1	1	yes	characteristic
297	C₄₇⋊#95	C₂³	1	1	yes	characteristic
298	C₄₇⋊#95	C₂³	1	1	yes	characteristic
299	C₄₇⋊#95	C₂³	1	1	yes	characteristic
300	C₄₇⋊#95	C₂³	1	1	yes	characteristic
301	C₄₇⋊#95	C₂³	1	1	yes	characteristic
302	C₄₇⋊#95	C₂³	1	1	yes	characteristic
303	C₄₇⋊#95	C₂³	1	1	yes	characteristic
304	C₄₇⋊#95	C₂³	1	1	yes	characteristic
305	C₄₇⋊#95	C₂³	1	1	yes	characteristic
306	C₄₇⋊#95	C₂³	1	1	yes	characteristic
307	C₄₇⋊#95	C₂³	1	1	yes	characteristic
308	C₄₇⋊#95	C₂³	1	1	yes	characteristic
309	C₄₇⋊#95	C₂³	1	1	yes	characteristic
310	C₄₇⋊#95	C₂³	1	1	yes	characteristic
311	C₄₇⋊#95	C₂³	1	1	yes	characteristic
312	C₄₇⋊#95	C₂³	1	1	yes	characteristic
313	C₄₇⋊#95	C₂³	1	1	yes	characteristic
314	C₄₇⋊#95	C₂³	1	1	yes	characteristic
315	C₄₇⋊#95	C₂³	1	1	yes	characteristic
316	C₄₇⋊#95	C₂³	1	1	yes	characteristic
317	C₄₇⋊#95	C₂³	1	1	yes	characteristic
318	C₄₇⋊#95	C₂³	1	1	yes	characteristic
319	C₄₇⋊#95	C₂³	1	1	yes	characteristic
320	C₄₇⋊#95	C₂³	1	1	yes	characteristic
321	C₄₇⋊#95	C₂³	1	1	yes	characteristic
322	C₄₇⋊#95	C₂³	1	1	yes	characteristic
323	C₄₇⋊#95	C₂³	1	1	yes	characteristic
324	C₄₇⋊#95	C₂³	1	1	yes	characteristic
325	C₄₇⋊#95	C₂³	1	1	yes	characteristic
326	C₄₇⋊#95	C₂³	1	1	yes	characteristic
327	C₄₇⋊#95	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
349	#95×C₄₇	C₂³	1	1	yes	characteristic
350	#95×C₄₇	C₂³	1	1	yes	characteristic
351	#95×C₄₇	C₂³	1	1	yes	characteristic
352	#95×C₄₇	C₂³	1	1	yes	characteristic
353	#95×C₄₇	C₂³	1	1	yes	characteristic
354	#95×C₄₇	C₂³	1	1	yes	characteristic
355	#95×C₄₇	C₂³	1	1	yes	characteristic
356	#95×C₄₇	C₂³	1	1	yes	characteristic
357	#95×C₄₇	C₂³	1	1	yes	characteristic
358	#95×C₄₇	C₂³	1	1	yes	characteristic
359	#95×C₄₇	C₂³	1	1	yes	characteristic
360	#95×C₄₇	C₂³	1	1	yes	characteristic
361	#95×C₄₇	C₂³	1	1	yes	characteristic
362	#95×C₄₇	C₂³	1	1	yes	characteristic
363	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂³×D₄₇	—	2	2	no	—
365	C₂³×D₄₇	—	2	2	no	—
366	C₂³×D₄₇	—	2	2	no	—
367	C₂³×D₄₇	—	2	2	no	—
368	C₂³×D₄₇	—	2	2	no	—
369	C₂³×D₄₇	—	2	2	no	—
370	C₂³×D₄₇	—	2	2	no	—
371	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×D₄₇	—	2	2	no	—
402	C₂×C₄×D₄₇	—	2	2	no	—
403	C₂×C₄×D₄₇	—	2	2	no	—
404	C₂×C₄×D₄₇	—	2	2	no	—
405	C₂×C₄×D₄₇	—	2	2	no	—
406	C₂×C₄×D₄₇	—	2	2	no	—
407	C₂×C₄×D₄₇	—	2	2	no	—
408	C₂×C₄×D₄₇	—	2	2	no	—
409	C₂×C₄×D₄₇	—	2	2	no	—
410	C₂×C₄×D₄₇	—	2	2	no	—
411	C₂×C₄×D₄₇	—	2	2	no	—
412	C₂×C₄×D₄₇	—	2	2	no	—
413	C₂×C₄×D₄₇	—	2	2	no	—
414	C₂×C₄×D₄₇	—	2	2	no	—
415	C₂×C₄×D₄₇	—	2	2	no	—
416	C₂×C₄×D₄₇	—	2	2	no	—
417	C₂×C₄×D₄₇	—	2	2	no	—
418	C₂×C₄×D₄₇	—	2	2	no	—
419	C₂×C₄×D₄₇	—	2	2	no	—
420	C₂×C₄×D₄₇	—	2	2	no	—
421	C₂×C₄×D₄₇	—	2	2	no	—
422	C₂×C₄×D₄₇	—	2	2	no	—
423	C₂×C₄×D₄₇	—	2	2	no	—
424	C₂×C₄×D₄₇	—	2	2	no	—
425	C₂×C₄×D₄₇	—	2	2	no	—
426	C₂×C₄×D₄₇	—	2	2	no	—
427	C₂×C₄×D₄₇	—	2	2	no	—
428	C₂×C₄×D₄₇	—	2	2	no	—
429	C₂×C₄×D₄₇	—	2	2	no	—
430	C₂×C₄×D₄₇	—	2	2	no	—
431	C₂×C₄×D₄₇	—	2	2	no	—
432	C₂×C₄×D₄₇	—	2	2	no	—
433	C₂×C₄×D₄₇	—	2	2	no	—
434	C₂×C₄×D₄₇	—	2	2	no	—
435	C₂×C₄×D₄₇	—	2	2	no	—
436	C₂×C₄×D₄₇	—	2	2	no	—
437	C₂×C₄×D₄₇	—	2	2	no	—
438	C₂×C₄×D₄₇	—	2	2	no	—
439	C₂×C₄×D₄₇	—	2	2	no	—
440	C₂×C₄×D₄₇	—	2	2	no	—
441	C₂×C₄×D₄₇	—	2	2	no	—
442	C₂×C₄×D₄₇	#41	1	4	yes	—
443	C₄⋊C₄×C₄₇	—	2	2	no	—
444	C₄⋊C₄×C₄₇	—	2	2	no	—
445	C₄⋊C₄×C₄₇	—	4	1	no	—
446	C₄⋊C₄×C₄₇	—	4	1	no	—
447	C₄⋊C₄×C₄₇	—	4	1	no	—
448	C₄⋊C₄×C₄₇	—	4	1	no	—
449	C₄⋊C₄×C₄₇	—	4	1	no	—
450	C₄⋊C₄×C₄₇	—	4	1	no	—
451	C₄⋊C₄×C₄₇	—	4	1	no	—
452	C₄⋊C₄×C₄₇	—	4	1	no	—
453	C₄⋊C₄×C₄₇	—	4	1	no	—
454	C₄⋊C₄×C₄₇	—	4	1	no	—
455	C₄⋊C₄×C₄₇	—	4	1	no	—
456	C₂²⋊C₄×C₄₇	—	2	2	no	—
457	C₂²⋊C₄×C₄₇	—	4	1	no	—
458	C₂²⋊C₄×C₄₇	—	4	1	no	—
459	C₂²⋊C₄×C₄₇	—	4	1	no	—
460	C₂²⋊C₄×C₄₇	—	4	1	no	—
461	C₂²⋊C₄×C₄₇	—	4	1	no	—
462	C₂²⋊C₄×C₄₇	—	4	1	no	—
463	C₄²×C₄₇	—	4	1	no	—
464	C₂²⋊Dic₄₇	—	2	2	no	—
465	C₂²⋊Dic₄₇	—	4	1	no	—
466	C₂²⋊Dic₄₇	—	4	1	no	—
467	C₂²⋊Dic₄₇	—	4	1	no	—
468	C₂²⋊Dic₄₇	—	4	1	no	—
469	C₂²⋊Dic₄₇	—	4	1	no	—
470	C₂²⋊Dic₄₇	—	4	1	no	—
471	(C₂×D₄₇)⋊C₄	—	2	2	no	—
472	(C₂×D₄₇)⋊C₄	—	2	2	no	—
473	(C₂×D₄₇)⋊C₄	—	4	1	no	—
474	(C₂×D₄₇)⋊C₄	—	4	1	no	—
475	(C₂×D₄₇)⋊C₄	—	4	1	no	—
476	(C₂×D₄₇)⋊C₄	—	4	1	no	—
477	(C₂×D₄₇)⋊C₄	—	4	1	no	—
478	(C₂×D₄₇)⋊C₄	—	4	1	no	—
479	(C₂×D₄₇)⋊C₄	—	4	1	no	—
480	(C₂×D₄₇)⋊C₄	—	4	1	no	—
481	(C₂×D₄₇)⋊C₄	—	4	1	no	—
482	(C₂×D₄₇)⋊C₄	—	4	1	no	—
483	(C₂×D₄₇)⋊C₄	—	4	1	no	—
484	(C₂×D₄₇)⋊C₄	—	4	1	no	—
485	C₄⋊Dic₄₇	—	2	2	no	—
486	C₄⋊Dic₄₇	—	2	2	no	—
487	C₄⋊Dic₄₇	—	4	1	no	—
488	C₄⋊Dic₄₇	—	4	1	no	—
489	C₄⋊Dic₄₇	—	4	1	no	—
490	C₄⋊Dic₄₇	—	4	1	no	—
491	C₄⋊Dic₄₇	—	4	1	no	—
492	C₄⋊Dic₄₇	—	4	1	no	—
493	C₄⋊Dic₄₇	—	4	1	no	—
494	C₄⋊Dic₄₇	—	4	1	no	—
495	C₄⋊Dic₄₇	—	4	1	no	—
496	C₄⋊Dic₄₇	—	4	1	no	—
497	C₄⋊Dic₄₇	—	4	1	no	—
498	Dic₄₇⋊C₄	—	2	2	no	—
499	Dic₄₇⋊C₄	—	2	2	no	—
500	Dic₄₇⋊C₄	—	2	2	no	—
501	Dic₄₇⋊C₄	—	2	2	no	—
502	Dic₄₇⋊C₄	—	4	1	no	—
503	Dic₄₇⋊C₄	—	4	1	no	—
504	Dic₄₇⋊C₄	—	4	1	no	—
505	Dic₄₇⋊C₄	—	4	1	no	—
506	Dic₄₇⋊C₄	—	4	1	no	—
507	Dic₄₇⋊C₄	—	4	1	no	—
508	Dic₄₇⋊C₄	—	4	1	no	—
509	Dic₄₇⋊C₄	—	4	1	no	—
510	Dic₄₇⋊C₄	—	4	1	no	—
511	Dic₄₇⋊C₄	—	4	1	no	—
512	Dic₄₇⋊C₄	—	4	1	no	—
513	Dic₄₇⋊C₄	—	4	1	no	—
514	Dic₄₇⋊C₄	—	4	1	no	—
515	Dic₄₇⋊C₄	—	4	1	no	—
516	Dic₄₇⋊C₄	—	4	1	no	—
517	Dic₄₇⋊C₄	—	4	1	no	—
518	Dic₄₇⋊C₄	—	4	1	no	—
519	Dic₄₇⋊C₄	—	4	1	no	—
520	Dic₄₇⋊C₄	—	4	1	no	—
521	Dic₄₇⋊C₄	—	4	1	no	—
522	Dic₄₇⋊C₄	—	4	1	no	—
523	Dic₄₇⋊C₄	—	4	1	no	—
524	C₄×Dic₄₇	—	4	1	no	—
525	C₄×Dic₄₇	—	4	1	no	—
526	C₄×Dic₄₇	—	4	1	no	—
527	C₂³×C₄₇	—	2	1	no	—
528	C₂³×C₄₇	—	2	1	no	—
529	C₂³×C₄₇	—	2	1	no	—
530	C₂³×C₄₇	—	2	1	no	—
531	C₂³×C₄₇	—	2	1	no	—
532	C₂³×C₄₇	—	2	1	no	—
533	C₂³×C₄₇	—	2	1	no	—
534	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
535	C₂²×D₄₇	—	2	1	no	—
536	C₂²×D₄₇	—	2	1	no	—
537	C₂²×D₄₇	—	2	1	no	—
538	C₂²×D₄₇	—	2	1	no	—
539	C₂²×D₄₇	—	2	1	no	—
540	C₂²×D₄₇	—	2	1	no	—
541	C₂²×D₄₇	—	2	1	no	—
542	C₂²×D₄₇	—	4	4	no	—
543	C₂²×D₄₇	—	4	4	no	—
544	C₂²×D₄₇	—	4	4	no	—
545	C₂²×D₄₇	—	4	4	no	—
546	C₂²×D₄₇	—	4	4	no	—
547	C₂²×D₄₇	—	4	4	no	—
548	C₂²×D₄₇	—	4	4	no	—
549	C₂²×D₄₇	C₂×#41	1	2	yes	—
550	C₂²×D₄₇	H(5,𝔽₂)	1	2	yes	—
551	C₂²×D₄₇	H(5,𝔽₂)	1	2	yes	—
552	C₂²×D₄₇	H(5,𝔽₂)	1	2	yes	—
553	C₂²×D₄₇	2₋¹⁺⁴	1	2	yes	—
554	C₂²×D₄₇	2₋¹⁺⁴	1	2	yes	—
555	C₂²×D₄₇	2₋¹⁺⁴	1	2	yes	—
556	C₂×C₄×C₄₇	—	2	1	no	—
557	C₂×C₄×C₄₇	—	2	1	no	—
558	C₂×C₄×C₄₇	—	2	1	no	—
559	C₂×C₄×C₄₇	—	2	1	no	—
560	C₂×C₄×C₄₇	—	2	1	no	—
561	C₂×C₄×C₄₇	—	2	1	no	—
562	C₂×C₄×C₄₇	—	2	1	no	—
563	C₂×C₄×C₄₇	—	2	1	no	—
564	C₂×C₄×C₄₇	—	2	1	no	—
565	C₂×C₄×C₄₇	—	2	1	no	—
566	C₂×C₄×C₄₇	—	2	1	no	—
567	C₂×C₄×C₄₇	—	2	1	no	—
568	C₂×C₄×C₄₇	—	2	1	no	—
569	C₂×C₄×C₄₇	—	2	1	no	—
570	C₂×C₄×C₄₇	—	2	1	no	—
571	C₂×C₄×C₄₇	—	2	1	no	—
572	C₂×C₄×C₄₇	—	2	1	no	—
573	C₂×C₄×C₄₇	—	2	1	no	—
574	C₂×C₄×C₄₇	—	2	1	no	—
575	C₂×C₄×C₄₇	—	2	1	no	—
576	C₂×C₄×C₄₇	—	2	1	no	—
577	C₂×C₄×C₄₇	—	2	1	no	—
578	C₂×C₄×C₄₇	—	2	1	no	—
579	C₂×C₄×C₄₇	—	2	1	no	—
580	C₂×C₄×C₄₇	—	2	1	no	—
581	C₂×C₄×C₄₇	—	2	1	no	—
582	C₂×C₄×C₄₇	—	2	1	no	—
583	C₂×C₄×C₄₇	—	2	1	no	—
584	C₂×C₄×C₄₇	—	2	1	no	—
585	C₂×C₄×C₄₇	—	2	1	no	—
586	C₂×C₄×C₄₇	—	2	1	no	—
587	C₂×C₄×C₄₇	—	2	1	no	—
588	C₂×C₄×C₄₇	—	2	1	no	—
589	C₂×C₄×C₄₇	—	2	1	no	—
590	C₂×C₄×C₄₇	—	2	1	no	—
591	C₂×C₄×C₄₇	—	2	1	no	—
592	C₂×C₄×C₄₇	—	2	1	no	—
593	C₂×C₄×C₄₇	—	2	1	no	—
594	C₂×C₄×C₄₇	—	2	1	no	—
595	C₂×C₄×C₄₇	—	2	1	no	—
596	C₂×C₄×C₄₇	—	2	1	no	—
597	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
598	C₂×Dic₄₇	—	2	1	no	—
599	C₂×Dic₄₇	—	2	1	no	—
600	C₂×Dic₄₇	—	2	1	no	—
601	C₂×Dic₄₇	—	2	1	no	—
602	C₂×Dic₄₇	—	2	1	no	—
603	C₂×Dic₄₇	—	2	1	no	—
604	C₂×Dic₄₇	—	2	1	no	—
605	C₂×Dic₄₇	—	2	1	no	—
606	C₂×Dic₄₇	—	2	1	no	—
607	C₂×Dic₄₇	—	2	1	no	—
608	C₂×Dic₄₇	—	2	1	no	—
609	C₂×Dic₄₇	—	2	1	no	—
610	C₂×Dic₄₇	—	2	1	no	—
611	C₂×Dic₄₇	—	2	1	no	—
612	C₂×Dic₄₇	—	2	1	no	—
613	C₂×Dic₄₇	—	2	1	no	—
614	C₂×Dic₄₇	—	2	1	no	—
615	C₂×Dic₄₇	—	2	1	no	—
616	C₂×Dic₄₇	—	2	1	no	—
617	C₂×Dic₄₇	—	2	1	no	—
618	C₂×Dic₄₇	—	2	1	no	—
619	C₂×Dic₄₇	—	2	1	no	—
620	C₂×Dic₄₇	—	2	1	no	—
621	C₂×Dic₄₇	—	2	1	no	—
622	C₂×Dic₄₇	—	2	1	no	—
623	C₂×Dic₄₇	—	2	1	no	—
624	C₂×Dic₄₇	—	2	1	no	—
625	C₂×Dic₄₇	—	2	1	no	—
626	C₂×Dic₄₇	—	2	1	no	—
627	C₂×Dic₄₇	—	2	1	no	—
628	C₂×Dic₄₇	—	2	1	no	—
629	C₂×Dic₄₇	—	2	1	no	—
630	C₂×Dic₄₇	—	2	1	no	—
631	C₂×Dic₄₇	—	2	1	no	—
632	C₂×Dic₄₇	—	2	1	no	—
633	C₂×Dic₄₇	—	2	1	no	—
634	C₂×Dic₄₇	—	2	1	no	—
635	C₂×Dic₄₇	—	2	1	no	—
636	C₂×Dic₄₇	—	2	1	no	—
637	C₂×Dic₄₇	—	2	1	no	—
638	C₂×Dic₄₇	—	2	1	no	—
639	C₂×Dic₄₇	C₂×#41	1	2	yes	—
640	C₄×D₄₇	—	2	8	no	—
641	C₄×D₄₇	—	4	4	no	—
642	C₄×D₄₇	—	4	4	no	—
643	C₄×D₄₇	—	4	4	no	—
644	C₄×D₄₇	—	4	4	no	—
645	C₄×D₄₇	—	4	4	no	—
646	C₄×D₄₇	—	4	4	no	—
647	C₄×D₄₇	—	4	4	no	—
648	C₄×D₄₇	—	4	4	no	—
649	C₄×D₄₇	—	4	4	no	—
650	C₄×D₄₇	—	4	4	no	—
651	C₄×D₄₇	—	4	4	no	—
652	C₄×D₄₇	—	4	4	no	—
653	C₄×D₄₇	—	4	4	no	—
654	C₂×#2836	—	47	1	no	maximal, Sylow
655	C₂²×C₄₇	—	4	1	no	—
656	C₂²×C₄₇	—	4	1	no	—
657	C₂²×C₄₇	—	4	1	no	—
658	C₂²×C₄₇	—	4	1	no	—
659	C₂²×C₄₇	—	4	1	no	—
660	C₂²×C₄₇	—	4	1	no	—
661	C₂²×C₄₇	—	4	1	no	—
662	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
663	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
664	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
665	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
666	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
667	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
668	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
669	C₂×D₄₇	—	4	1	no	—
670	C₂×D₄₇	—	4	1	no	—
671	C₂×D₄₇	—	4	1	no	—
672	C₂×D₄₇	—	4	1	no	—
673	C₂×D₄₇	—	4	1	no	—
674	C₂×D₄₇	—	4	1	no	—
675	C₂×D₄₇	—	4	1	no	—
676	C₂×D₄₇	—	8	8	no	—
677	C₂×D₄₇	#539	1	4	yes	—
678	C₂×D₄₇	#540	1	4	yes	—
679	C₂×D₄₇	#541	1	4	yes	—
680	C₂×D₄₇	#562	1	4	yes	—
681	C₂×D₄₇	#562	1	4	yes	—
682	C₂×D₄₇	#563	1	4	yes	—
683	C₂×D₄₇	#563	1	4	yes	—
684	C₄×C₄₇	—	2	2	no	—
685	C₄×C₄₇	—	4	1	no	—
686	C₄×C₄₇	—	4	1	no	—
687	C₄×C₄₇	—	4	1	no	—
688	C₄×C₄₇	—	4	1	no	—
689	C₄×C₄₇	—	4	1	no	—
690	C₄×C₄₇	—	4	1	no	—
691	C₄×C₄₇	—	4	1	no	—
692	C₄×C₄₇	—	4	1	no	—
693	C₄×C₄₇	—	4	1	no	—
694	C₄×C₄₇	—	4	1	no	—
695	C₄×C₄₇	—	4	1	no	—
696	C₄×C₄₇	—	4	1	no	—
697	C₄×C₄₇	—	4	1	no	—
698	Dic₄₇	—	2	2	no	—
699	Dic₄₇	—	4	1	no	—
700	Dic₄₇	—	4	1	no	—
701	Dic₄₇	—	4	1	no	—
702	Dic₄₇	—	4	1	no	—
703	Dic₄₇	—	4	1	no	—
704	Dic₄₇	—	4	1	no	—
705	Dic₄₇	—	4	1	no	—
706	Dic₄₇	—	4	1	no	—
707	Dic₄₇	—	4	1	no	—
708	Dic₄₇	—	4	1	no	—
709	Dic₄₇	—	4	1	no	—
710	Dic₄₇	—	4	1	no	—
711	Dic₄₇	—	4	1	no	—
712	#2836	—	47	1	no	—
713	#2836	—	47	1	no	—
714	#2836	—	47	1	no	—
715	#2836	—	47	1	no	—
716	#2836	—	47	1	no	—
717	#2836	—	47	1	no	—
718	#2836	—	47	1	no	—
719	#2836	—	47	1	no	—
720	#2836	—	47	1	no	—
721	#2836	—	47	1	no	—
722	#2836	—	47	1	no	—
723	#2836	—	47	1	no	—
724	#2836	—	47	1	no	—
725	#2836	—	47	1	no	—
726	#2836	—	47	1	no	—
727	#2836	D₄₇	1	1	yes	characteristic, direct product factor
728	C₂×#400	—	47	1	no	—
729	C₂×#400	—	47	1	no	—
730	C₂×#399	—	47	1	no	—
731	C₂×#398	—	47	1	no	—
732	C₂×#398	—	47	1	no	—
733	C₂×#398	—	47	1	no	—
734	C₂×#398	—	47	1	no	—
735	C₂×#397	—	47	1	no	—
736	C₂×#397	—	47	1	no	—
737	C₂×#397	—	47	1	no	—
738	C₂×#396	—	47	1	no	—
739	C₂×#396	—	47	1	no	—
740	C₂×#389	—	47	1	no	—
741	C₂×#388	—	47	1	no	—
742	C₂×#387	—	47	1	no	—
743	C₂×C₄₇	—	8	1	no	—
744	C₂×C₄₇	C₂×#539	1	1	yes	characteristic
745	C₂×C₄₇	C₂×#540	1	1	yes	characteristic
746	C₂×C₄₇	C₂×#541	1	1	yes	characteristic
747	C₂×C₄₇	C₂×#562	1	1	yes	characteristic
748	C₂×C₄₇	C₂×#562	1	1	yes	characteristic
749	C₂×C₄₇	C₂×#563	1	1	yes	characteristic
750	C₂×C₄₇	C₂×#563	1	1	yes	characteristic
751	D₄₇	—	8	1	no	—
752	D₄₇	#2836	1	8	yes	direct product factor
753	C₂²×C₄⋊C₄	—	47	1	no	—
754	C₂²×C₄⋊C₄	—	47	1	no	—
755	C₂²×C₄⋊C₄	—	47	1	no	—
756	C₂²×C₄⋊C₄	—	47	1	no	—
757	C₂²×C₄⋊C₄	—	47	1	no	—
758	C₂²×C₄⋊C₄	—	47	1	no	—
759	C₂²×C₄⋊C₄	—	47	1	no	—
760	C₂²×C₄⋊C₄	—	47	1	no	—
761	C₂²×C₄⋊C₄	—	47	1	no	—
762	C₂²×C₄⋊C₄	—	47	1	no	—
763	C₂²×C₄⋊C₄	—	47	1	no	—
764	C₂²×C₄⋊C₄	—	47	1	no	—
765	C₂²×C₄⋊C₄	—	47	1	no	—
766	C₂²×C₂²⋊C₄	—	47	1	no	—
767	C₂²×C₂²⋊C₄	—	47	1	no	—
768	C₂²×C₂²⋊C₄	—	47	1	no	—
769	C₂²×C₂²⋊C₄	—	47	1	no	—
770	C₂²×C₂²⋊C₄	—	47	1	no	—
771	C₂²×C₂²⋊C₄	—	47	1	no	—
772	C₂²×C₂²⋊C₄	—	47	1	no	—
773	C₂²×C₄²	—	47	1	no	—
774	#400	—	47	1	no	—
775	#400	—	47	1	no	—
776	#400	—	47	1	no	—
777	#400	—	47	1	no	—
778	#400	—	47	1	no	—
779	#400	—	47	1	no	—
780	#400	—	47	1	no	—
781	#400	—	47	1	no	—
782	#400	—	47	1	no	—
783	#400	—	47	1	no	—
784	#400	—	47	1	no	—
785	#400	—	47	1	no	—
786	#400	—	47	1	no	—
787	#400	—	47	1	no	—
788	#400	C₂×D₄₇	1	1	yes	characteristic, complemented
789	#400	C₂×D₄₇	1	1	yes	characteristic, complemented
790	#399	—	47	1	no	—
791	#399	—	47	1	no	—
792	#399	—	47	1	no	—
793	#399	—	47	1	no	—
794	#399	—	47	1	no	—
795	#399	—	47	1	no	—
796	#399	—	47	1	no	—
797	#399	C₂×D₄₇	1	1	yes	characteristic
798	#398	—	47	1	no	—
799	#398	—	47	1	no	—
800	#398	—	47	1	no	—
801	#398	—	47	1	no	—
802	#398	—	47	1	no	—
803	#398	—	47	1	no	—
804	#398	—	47	1	no	—
805	#398	—	47	1	no	—
806	#398	—	47	1	no	—
807	#398	—	47	1	no	—
808	#398	—	47	1	no	—
809	#398	—	47	1	no	—
810	#398	—	47	1	no	—
811	#398	—	47	1	no	—
812	#398	—	47	1	no	—
813	#398	—	47	1	no	—
814	#398	—	47	1	no	—
815	#398	—	47	1	no	—
816	#398	—	47	1	no	—
817	#398	—	47	1	no	—
818	#398	—	47	1	no	—
819	#398	—	47	1	no	—
820	#398	—	47	1	no	—
821	#398	—	47	1	no	—
822	#398	—	47	1	no	—
823	#398	—	47	1	no	—
824	#398	—	47	1	no	—
825	#398	—	47	1	no	—
826	#398	C₂×D₄₇	1	1	yes	characteristic, complemented
827	#398	C₂×D₄₇	1	1	yes	characteristic, complemented
828	#398	C₂×D₄₇	1	1	yes	characteristic, complemented
829	#398	C₂×D₄₇	1	1	yes	characteristic, complemented
830	#397	—	47	1	no	—
831	#397	—	47	1	no	—
832	#397	—	47	1	no	—
833	#397	—	47	1	no	—
834	#397	—	47	1	no	—
835	#397	—	47	1	no	—
836	#397	—	47	1	no	—
837	#397	—	47	1	no	—
838	#397	—	47	1	no	—
839	#397	—	47	1	no	—
840	#397	—	47	1	no	—
841	#397	—	47	1	no	—
842	#397	—	47	1	no	—
843	#397	—	47	1	no	—
844	#397	—	47	1	no	—
845	#397	—	47	1	no	—
846	#397	—	47	1	no	—
847	#397	—	47	1	no	—
848	#397	—	47	1	no	—
849	#397	—	47	1	no	—
850	#397	—	47	1	no	—
851	#397	C₂×D₄₇	1	1	yes	characteristic
852	#397	C₂×D₄₇	1	1	yes	characteristic
853	#397	C₂×D₄₇	1	1	yes	characteristic
854	#396	—	47	1	no	—
855	#396	—	47	1	no	—
856	#396	—	47	1	no	—
857	#396	—	47	1	no	—
858	#396	—	47	1	no	—
859	#396	—	47	1	no	—
860	#396	—	47	1	no	—
861	#396	—	47	1	no	—
862	#396	—	47	1	no	—
863	#396	—	47	1	no	—
864	#396	—	47	1	no	—
865	#396	—	47	1	no	—
866	#396	—	47	1	no	—
867	#396	—	47	1	no	—
868	#396	C₂×D₄₇	1	1	yes	characteristic
869	#396	C₂×D₄₇	1	1	yes	characteristic
870	#389	—	47	1	no	—
871	#389	—	47	1	no	—
872	#389	—	47	1	no	—
873	#389	—	47	1	no	—
874	#389	—	47	1	no	—
875	#389	—	47	1	no	—
876	#389	—	47	1	no	—
877	#389	C₂×D₄₇	1	1	yes	characteristic, complemented
878	#388	—	47	1	no	—
879	#388	—	47	1	no	—
880	#388	—	47	1	no	—
881	#388	—	47	1	no	—
882	#388	—	47	1	no	—
883	#388	—	47	1	no	—
884	#388	—	47	1	no	—
885	#388	C₂×D₄₇	1	1	yes	characteristic
886	#387	—	47	1	no	—
887	#387	—	47	1	no	—
888	#387	—	47	1	no	—
889	#387	—	47	1	no	—
890	#387	—	47	1	no	—
891	#387	—	47	1	no	—
892	#387	—	47	1	no	—
893	#387	C₂×D₄₇	1	1	yes	characteristic, complemented
894	C₂×#95	—	47	1	no	—
895	C₂×#95	—	47	1	no	—
896	C₂×#95	—	47	1	no	—
897	C₂×#95	—	47	1	no	—
898	C₂×#95	—	47	1	no	—
899	C₂×#95	—	47	1	no	—
900	C₂×#95	—	47	1	no	—
901	C₂×#95	—	47	1	no	—
902	C₂×#95	—	47	1	no	—
903	C₂×#95	—	47	1	no	—
904	C₂×#95	—	47	1	no	—
905	C₂×#95	—	47	1	no	—
906	C₂×#95	—	47	1	no	—
907	C₂×#95	—	47	1	no	—
908	C₄₇	C₂×#2836	1	1	yes	characteristic, complemented, Sylow
909	C₂⁵	—	47	1	no	—
910	C₂³×C₄	—	47	1	no	—
911	C₂³×C₄	—	47	1	no	—
912	C₂³×C₄	—	47	1	no	—
913	C₂³×C₄	—	47	1	no	—
914	C₂³×C₄	—	47	1	no	—
915	C₂³×C₄	—	47	1	no	—
916	C₂³×C₄	—	47	1	no	—
917	C₂³×C₄	—	47	1	no	—
918	C₂³×C₄	—	47	1	no	—
919	C₂³×C₄	—	47	1	no	—
920	C₂³×C₄	—	47	1	no	—
921	C₂³×C₄	—	47	1	no	—
922	C₂³×C₄	—	47	1	no	—
923	C₂³×C₄	—	47	1	no	—
924	C₂×C₄⋊C₄	—	47	1	no	—
925	C₂×C₄⋊C₄	—	47	1	no	—
926	C₂×C₄⋊C₄	—	47	1	no	—
927	C₂×C₄⋊C₄	—	47	1	no	—
928	C₂×C₄⋊C₄	—	47	1	no	—
929	C₂×C₄⋊C₄	—	47	1	no	—
930	C₂×C₄⋊C₄	—	47	1	no	—
931	C₂×C₄⋊C₄	—	47	1	no	—
932	C₂×C₄⋊C₄	—	47	1	no	—
933	C₂×C₄⋊C₄	—	47	1	no	—
934	C₂×C₄⋊C₄	—	47	1	no	—
935	C₂×C₄⋊C₄	—	47	1	no	—
936	C₂×C₄⋊C₄	—	47	1	no	—
937	C₂×C₄⋊C₄	—	47	1	no	—
938	C₂×C₄⋊C₄	—	47	1	no	—
939	C₂×C₄⋊C₄	—	47	1	no	—
940	C₂×C₄⋊C₄	—	47	1	no	—
941	C₂×C₄⋊C₄	—	47	1	no	—
942	C₂×C₄⋊C₄	—	47	1	no	—
943	C₂×C₄⋊C₄	—	47	1	no	—
944	C₂×C₄⋊C₄	—	47	1	no	—
945	C₂×C₄⋊C₄	—	47	1	no	—
946	C₂×C₄⋊C₄	—	47	1	no	—
947	C₂×C₄⋊C₄	—	47	1	no	—
948	C₂×C₄⋊C₄	—	47	1	no	—
949	C₂×C₄⋊C₄	—	47	1	no	—
950	C₂×C₄⋊C₄	—	47	1	no	—
951	C₂×C₄⋊C₄	—	47	1	no	—
952	C₂×C₄⋊C₄	—	47	1	no	—
953	C₂×C₄⋊C₄	—	47	1	no	—
954	C₂×C₄⋊C₄	—	47	1	no	—
955	C₂×C₄⋊C₄	—	47	1	no	—
956	C₂×C₄⋊C₄	—	47	1	no	—
957	C₂×C₄⋊C₄	—	47	1	no	—
958	C₂×C₄⋊C₄	—	47	1	no	—
959	C₂×C₄⋊C₄	—	47	1	no	—
960	C₂×C₄⋊C₄	—	47	1	no	—
961	C₂×C₄⋊C₄	—	47	1	no	—
962	C₂×C₄⋊C₄	—	47	1	no	—
963	C₂×C₄⋊C₄	—	94	4	no	—
964	C₂×C₄⋊C₄	—	94	4	no	—
965	C₂×C₄⋊C₄	—	188	2	no	—
966	C₂×C₄⋊C₄	—	188	2	no	—
967	C₂×C₄⋊C₄	—	188	2	no	—
968	C₂×C₄⋊C₄	—	188	2	no	—
969	C₂×C₄⋊C₄	—	188	2	no	—
970	C₂×C₄⋊C₄	—	188	2	no	—
971	C₂×C₄⋊C₄	—	188	2	no	—
972	C₂×C₄⋊C₄	—	188	2	no	—
973	C₂×C₄⋊C₄	—	188	2	no	—
974	C₂×C₄⋊C₄	—	188	2	no	—
975	C₂×C₄⋊C₄	—	188	2	no	—
976	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	—	47	1	no	—
990	C₂×C₂²⋊C₄	—	47	1	no	—
991	C₂×C₂²⋊C₄	—	47	1	no	—
992	C₂×C₂²⋊C₄	—	47	1	no	—
993	C₂×C₂²⋊C₄	—	47	1	no	—
994	C₂×C₂²⋊C₄	—	47	1	no	—
995	C₂×C₂²⋊C₄	—	47	1	no	—
996	C₂×C₂²⋊C₄	—	47	1	no	—
997	C₂×C₂²⋊C₄	—	47	1	no	—
998	C₂×C₂²⋊C₄	—	47	1	no	—
999	C₂×C₂²⋊C₄	—	47	1	no	—
1000	C₂×C₂²⋊C₄	—	47	1	no	—
1001	C₂×C₂²⋊C₄	—	47	1	no	—
1002	C₂×C₂²⋊C₄	—	47	1	no	—
1003	C₂×C₂²⋊C₄	—	47	1	no	—
1004	C₂×C₂²⋊C₄	—	47	1	no	—
1005	C₂×C₂²⋊C₄	—	47	1	no	—
1006	C₂×C₂²⋊C₄	—	47	1	no	—
1007	C₂×C₂²⋊C₄	—	47	1	no	—
1008	C₂×C₂²⋊C₄	—	47	1	no	—
1009	C₂×C₂²⋊C₄	—	47	1	no	—
1010	C₂×C₂²⋊C₄	—	94	4	no	—
1011	C₂×C₂²⋊C₄	—	188	2	no	—
1012	C₂×C₂²⋊C₄	—	188	2	no	—
1013	C₂×C₂²⋊C₄	—	188	2	no	—
1014	C₂×C₂²⋊C₄	—	188	2	no	—
1015	C₂×C₂²⋊C₄	—	188	2	no	—
1016	C₂×C₂²⋊C₄	—	188	2	no	—
1017	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1024	C₂×C₄²	—	47	1	no	—
1025	C₂×C₄²	—	47	1	no	—
1026	C₂×C₄²	—	47	1	no	—
1027	C₂×C₄²	—	188	2	no	—
1028	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1029	#95	—	47	1	no	—
1030	#95	—	47	1	no	—
1031	#95	—	47	1	no	—
1032	#95	—	47	1	no	—
1033	#95	—	47	1	no	—
1034	#95	—	47	1	no	—
1035	#95	—	47	1	no	—
1036	#95	—	47	1	no	—
1037	#95	—	47	1	no	—
1038	#95	—	47	1	no	—
1039	#95	—	47	1	no	—
1040	#95	—	47	1	no	—
1041	#95	—	47	1	no	—
1042	#95	—	47	1	no	—
1043	#95	—	47	1	no	—
1044	#95	—	47	1	no	—
1045	#95	—	47	1	no	—
1046	#95	—	47	1	no	—
1047	#95	—	47	1	no	—
1048	#95	—	47	1	no	—
1049	#95	—	47	1	no	—
1050	#95	—	47	1	no	—
1051	#95	—	47	1	no	—
1052	#95	—	47	1	no	—
1053	#95	—	47	1	no	—
1054	#95	—	47	1	no	—
1055	#95	—	47	1	no	—
1056	#95	—	47	1	no	—
1057	#95	—	47	1	no	—
1058	#95	—	47	1	no	—
1059	#95	—	47	1	no	—
1060	#95	—	47	1	no	—
1061	#95	—	47	1	no	—
1062	#95	—	47	1	no	—
1063	#95	—	47	1	no	—
1064	#95	—	47	1	no	—
1065	#95	—	47	1	no	—
1066	#95	—	47	1	no	—
1067	#95	—	47	1	no	—
1068	#95	—	47	1	no	—
1069	#95	—	47	1	no	—
1070	#95	—	47	1	no	—
1071	#95	C₂²×D₄₇	1	1	yes	characteristic
1072	#95	C₂²×D₄₇	1	1	yes	characteristic
1073	#95	C₂²×D₄₇	1	1	yes	characteristic
1074	#95	C₂²×D₄₇	1	1	yes	characteristic
1075	#95	C₂²×D₄₇	1	1	yes	characteristic
1076	#95	C₂²×D₄₇	1	1	yes	characteristic
1077	#95	C₂²×D₄₇	1	1	yes	characteristic
1078	#95	C₂²×D₄₇	1	1	yes	characteristic
1079	#95	C₂²×D₄₇	1	1	yes	characteristic
1080	#95	C₂²×D₄₇	1	1	yes	characteristic
1081	#95	C₂²×D₄₇	1	1	yes	characteristic
1082	#95	C₂²×D₄₇	1	1	yes	characteristic
1083	#95	C₂²×D₄₇	1	1	yes	characteristic
1084	#95	C₂²×D₄₇	1	1	yes	characteristic
1085	C₂⁴	—	47	1	no	—
1086	C₂⁴	—	47	1	no	—
1087	C₂⁴	—	94	2	no	—
1088	C₂⁴	—	94	2	no	—
1089	C₂⁴	—	94	2	no	—
1090	C₂⁴	—	94	2	no	—
1091	C₂⁴	—	94	2	no	—
1092	C₂⁴	—	94	2	no	—
1093	C₂⁴	—	94	2	no	—
1094	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1095	C₂²×C₄	—	47	1	no	—
1096	C₂²×C₄	—	47	4	no	—
1097	C₂²×C₄	—	47	1	no	—
1098	C₂²×C₄	—	47	1	no	—
1099	C₂²×C₄	—	47	1	no	—
1100	C₂²×C₄	—	47	1	no	—
1101	C₂²×C₄	—	47	1	no	—
1102	C₂²×C₄	—	47	1	no	—
1103	C₂²×C₄	—	47	1	no	—
1104	C₂²×C₄	—	47	1	no	—
1105	C₂²×C₄	—	47	1	no	—
1106	C₂²×C₄	—	47	1	no	—
1107	C₂²×C₄	—	47	1	no	—
1108	C₂²×C₄	—	47	1	no	—
1109	C₂²×C₄	—	47	1	no	—
1110	C₂²×C₄	—	94	2	no	—
1111	C₂²×C₄	—	94	2	no	—
1112	C₂²×C₄	—	94	2	no	—
1113	C₂²×C₄	—	94	2	no	—
1114	C₂²×C₄	—	94	2	no	—
1115	C₂²×C₄	—	94	2	no	—
1116	C₂²×C₄	—	94	2	no	—
1117	C₂²×C₄	—	94	2	no	—
1118	C₂²×C₄	—	94	2	no	—
1119	C₂²×C₄	—	94	2	no	—
1120	C₂²×C₄	—	94	2	no	—
1121	C₂²×C₄	—	94	2	no	—
1122	C₂²×C₄	—	94	2	no	—
1123	C₂²×C₄	—	94	2	no	—
1124	C₂²×C₄	—	94	2	no	—
1125	C₂²×C₄	—	94	2	no	—
1126	C₂²×C₄	—	94	2	no	—
1127	C₂²×C₄	—	94	2	no	—
1128	C₂²×C₄	—	94	2	no	—
1129	C₂²×C₄	—	94	2	no	—
1130	C₂²×C₄	—	94	2	no	—
1131	C₂²×C₄	—	94	2	no	—
1132	C₂²×C₄	—	94	2	no	—
1133	C₂²×C₄	—	94	2	no	—
1134	C₂²×C₄	—	94	2	no	—
1135	C₂²×C₄	—	94	2	no	—
1136	C₂²×C₄	—	94	2	no	—
1137	C₂²×C₄	—	94	2	no	—
1138	C₂²×C₄	—	94	2	no	—
1139	C₂²×C₄	—	94	2	no	—
1140	C₂²×C₄	—	94	2	no	—
1141	C₂²×C₄	—	94	2	no	—
1142	C₂²×C₄	—	94	2	no	—
1143	C₂²×C₄	—	94	2	no	—
1144	C₂²×C₄	—	94	2	no	—
1145	C₂²×C₄	—	94	2	no	—
1146	C₂²×C₄	—	94	2	no	—
1147	C₂²×C₄	—	94	2	no	—
1148	C₂²×C₄	—	94	2	no	—
1149	C₂²×C₄	—	94	2	no	—
1150	C₂²×C₄	—	94	2	no	—
1151	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1165	C₄⋊C₄	—	2	2	no	—
1166	C₄⋊C₄	—	2	2	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	94	2	no	—
1179	C₄⋊C₄	—	94	2	no	—
1180	C₄⋊C₄	—	94	2	no	—
1181	C₄⋊C₄	—	94	2	no	—
1182	C₄⋊C₄	—	94	2	no	—
1183	C₄⋊C₄	—	94	2	no	—
1184	C₄⋊C₄	—	188	1	no	—
1185	C₄⋊C₄	—	188	1	no	—
1186	C₄⋊C₄	—	188	1	no	—
1187	C₄⋊C₄	—	188	1	no	—
1188	C₄⋊C₄	—	188	1	no	—
1189	C₄⋊C₄	—	188	1	no	—
1190	C₄⋊C₄	—	188	1	no	—
1191	C₄⋊C₄	—	188	1	no	—
1192	C₄⋊C₄	—	188	1	no	—
1193	C₄⋊C₄	—	188	1	no	—
1194	C₄⋊C₄	—	188	1	no	—
1195	C₄⋊C₄	—	188	1	no	—
1196	C₄⋊C₄	—	188	1	no	—
1197	C₄⋊C₄	—	188	1	no	—
1198	C₄⋊C₄	—	188	1	no	—
1199	C₄⋊C₄	—	188	1	no	—
1200	C₄⋊C₄	—	188	1	no	—
1201	C₄⋊C₄	—	188	1	no	—
1202	C₄⋊C₄	—	188	1	no	—
1203	C₄⋊C₄	—	188	1	no	—
1204	C₄⋊C₄	—	188	1	no	—
1205	C₄⋊C₄	—	188	1	no	—
1206	C₄⋊C₄	—	188	1	no	—
1207	C₄⋊C₄	—	188	1	no	—
1208	C₄⋊C₄	—	188	1	no	—
1209	C₄⋊C₄	—	188	1	no	—
1210	C₄⋊C₄	—	188	1	no	—
1211	C₄⋊C₄	—	188	1	no	—
1212	C₄⋊C₄	—	188	1	no	—
1213	C₄⋊C₄	—	188	1	no	—
1214	C₄⋊C₄	—	188	1	no	—
1215	C₄⋊C₄	—	188	1	no	—
1216	C₄⋊C₄	—	188	1	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	94	2	no	—
1225	C₂²⋊C₄	—	94	2	no	—
1226	C₂²⋊C₄	—	94	2	no	—
1227	C₂²⋊C₄	—	188	1	no	—
1228	C₂²⋊C₄	—	188	1	no	—
1229	C₂²⋊C₄	—	188	1	no	—
1230	C₂²⋊C₄	—	188	1	no	—
1231	C₂²⋊C₄	—	188	1	no	—
1232	C₂²⋊C₄	—	188	1	no	—
1233	C₂²⋊C₄	—	188	1	no	—
1234	C₂²⋊C₄	—	188	1	no	—
1235	C₂²⋊C₄	—	188	1	no	—
1236	C₂²⋊C₄	—	188	1	no	—
1237	C₂²⋊C₄	—	188	1	no	—
1238	C₂²⋊C₄	—	188	1	no	—
1239	C₂²⋊C₄	—	188	1	no	—
1240	C₂²⋊C₄	—	188	1	no	—
1241	C₂²⋊C₄	—	188	1	no	—
1242	C₂²⋊C₄	—	188	1	no	—
1243	C₂²⋊C₄	—	188	1	no	—
1244	C₂²⋊C₄	—	188	1	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	188	1	no	—
1247	C₄²	—	188	1	no	—
1248	C₄²	—	188	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	47	2	no	—
1257	C₂³	—	47	2	no	—
1258	C₂³	—	47	2	no	—
1259	C₂³	—	47	2	no	—
1260	C₂³	—	47	2	no	—
1261	C₂³	—	47	2	no	—
1262	C₂³	—	47	2	no	—
1263	C₂³	—	94	1	no	—
1264	C₂³	—	94	1	no	—
1265	C₂³	—	94	1	no	—
1266	C₂³	—	94	1	no	—
1267	C₂³	—	94	1	no	—
1268	C₂³	—	94	1	no	—
1269	C₂³	—	94	1	no	—
1270	C₂³	—	188	4	no	—
1271	C₂³	—	188	4	no	—
1272	C₂³	—	188	4	no	—
1273	C₂³	—	188	4	no	—
1274	C₂³	—	188	4	no	—
1275	C₂³	—	188	4	no	—
1276	C₂³	—	188	4	no	—
1277	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	47	2	no	—
1320	C₂×C₄	—	94	8	no	—
1321	C₂×C₄	—	94	1	no	—
1322	C₂×C₄	—	94	1	no	—
1323	C₂×C₄	—	94	1	no	—
1324	C₂×C₄	—	94	1	no	—
1325	C₂×C₄	—	94	1	no	—
1326	C₂×C₄	—	94	1	no	—
1327	C₂×C₄	—	94	1	no	—
1328	C₂×C₄	—	94	1	no	—
1329	C₂×C₄	—	94	1	no	—
1330	C₂×C₄	—	94	1	no	—
1331	C₂×C₄	—	94	1	no	—
1332	C₂×C₄	—	94	1	no	—
1333	C₂×C₄	—	94	1	no	—
1334	C₂×C₄	—	94	1	no	—
1335	C₂×C₄	—	94	1	no	—
1336	C₂×C₄	—	94	1	no	—
1337	C₂×C₄	—	94	1	no	—
1338	C₂×C₄	—	94	1	no	—
1339	C₂×C₄	—	94	1	no	—
1340	C₂×C₄	—	94	1	no	—
1341	C₂×C₄	—	94	1	no	—
1342	C₂×C₄	—	94	1	no	—
1343	C₂×C₄	—	94	1	no	—
1344	C₂×C₄	—	94	1	no	—
1345	C₂×C₄	—	94	1	no	—
1346	C₂×C₄	—	94	1	no	—
1347	C₂×C₄	—	94	1	no	—
1348	C₂×C₄	—	94	1	no	—
1349	C₂×C₄	—	94	1	no	—
1350	C₂×C₄	—	94	1	no	—
1351	C₂×C₄	—	94	1	no	—
1352	C₂×C₄	—	94	1	no	—
1353	C₂×C₄	—	94	1	no	—
1354	C₂×C₄	—	94	1	no	—
1355	C₂×C₄	—	94	1	no	—
1356	C₂×C₄	—	94	1	no	—
1357	C₂×C₄	—	94	1	no	—
1358	C₂×C₄	—	94	1	no	—
1359	C₂×C₄	—	94	1	no	—
1360	C₂×C₄	—	94	1	no	—
1361	C₂×C₄	—	94	1	no	—
1362	C₂×C₄	—	188	4	no	—
1363	C₂×C₄	—	188	4	no	—
1364	C₂×C₄	—	188	4	no	—
1365	C₂×C₄	—	188	4	no	—
1366	C₂×C₄	—	188	4	no	—
1367	C₂×C₄	—	188	4	no	—
1368	C₂×C₄	—	188	4	no	—
1369	C₂×C₄	—	188	4	no	—
1370	C₂×C₄	—	188	4	no	—
1371	C₂×C₄	—	188	4	no	—
1372	C₂×C₄	—	188	4	no	—
1373	C₂×C₄	—	188	4	no	—
1374	C₂×C₄	—	188	4	no	—
1375	C₂×C₄	#41×D₄₇	1	2	yes	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	1	no	—
1383	C₂²	—	47	4	no	—
1384	C₂²	—	47	4	no	—
1385	C₂²	—	47	4	no	—
1386	C₂²	—	47	4	no	—
1387	C₂²	—	47	4	no	—
1388	C₂²	—	47	4	no	—
1389	C₂²	—	47	4	no	—
1390	C₂²	—	376	8	no	—
1391	C₂²	—	188	1	no	—
1392	C₂²	—	188	1	no	—
1393	C₂²	—	188	1	no	—
1394	C₂²	—	188	1	no	—
1395	C₂²	—	188	1	no	—
1396	C₂²	—	188	1	no	—
1397	C₂²	—	188	1	no	—
1398	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1399	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1400	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1401	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1402	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1403	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1404	C₂²	2₋¹⁺⁴×D₄₇	1	1	yes	characteristic
1405	C₄	—	2	2	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	4	1	no	—
1409	C₄	—	4	1	no	—
1410	C₄	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	4	1	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	94	2	no	—
1420	C₄	—	188	1	no	—
1421	C₄	—	188	1	no	—
1422	C₄	—	188	1	no	—
1423	C₄	—	188	1	no	—
1424	C₄	—	188	1	no	—
1425	C₄	—	188	1	no	—
1426	C₄	—	188	1	no	—
1427	C₄	—	188	1	no	—
1428	C₄	—	188	1	no	—
1429	C₄	—	188	1	no	—
1430	C₄	—	188	1	no	—
1431	C₄	—	188	1	no	—
1432	C₄	—	188	1	no	—
1433	C₂	—	8	1	no	—
1434	C₂	—	47	8	no	—
1435	C₂	—	376	1	no	—
1436	C₂	#539×D₄₇	1	1	yes	characteristic
1437	C₂	#540×D₄₇	1	1	yes	characteristic
1438	C₂	#541×D₄₇	1	1	yes	characteristic
1439	C₂	#562×D₄₇	1	1	yes	characteristic
1440	C₂	#562×D₄₇	1	1	yes	characteristic
1441	C₂	#563×D₄₇	1	1	yes	characteristic
1442	C₂	#563×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2836	C₂
prime radical	C₂⁴×D₄₇	C₂³
hypercenter	#2836	D₄₇
hypocenter	C₄₇	C₂×#2836
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2836

Complements

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

N	H ≅ G/N	type
1. #20251594	C₂	semidirect
2. #20251593	C₂	semidirect
3. #20251592	C₂	semidirect
4. #20251591	C₂	semidirect
5. #20251590	C₂	semidirect
6. #20251589	C₂	semidirect
7. #20251588	C₂	semidirect
8. #20251587	C₂	semidirect
9. #20251586	C₂	semidirect
10. #20251585	C₂	semidirect
11. #20251584	C₂	semidirect
12. #20251583	C₂	semidirect
13. #20251582	C₂	semidirect
14. #20251581	C₂	semidirect
15. #20251580	C₂	semidirect
16. #400×D₄₇	C₂	semidirect
17. #400×D₄₇	C₂	semidirect
19. #398×D₄₇	C₂	semidirect
20. #398×D₄₇	C₂	semidirect
21. #398×D₄₇	C₂	semidirect
22. #398×D₄₇	C₂	semidirect
28. #389×D₄₇	C₂	semidirect
30. #387×D₄₇	C₂	semidirect
31. C₄₇×#2836	C₂	semidirect
53. #15689065	C₂²	semidirect
54. #15689065	C₂²	semidirect
55. #15689065	C₂²	semidirect
56. #15689065	C₂²	semidirect
57. #15689064	C₂²	semidirect
58. #15689064	C₂²	semidirect
59. #15689064	C₂²	semidirect
60. #15689064	C₂²	semidirect
61. #15689063	C₂²	semidirect
62. #15689063	C₂²	semidirect
63. #15689062	C₂²	semidirect
64. #15689062	C₂²	semidirect
65. #15689061	C₂²	semidirect
66. #15689061	C₂²	semidirect
74. #15689057	C₂²	semidirect
75. #15689057	C₂²	semidirect
76. #15689057	C₂²	semidirect
77. #15689057	C₂²	semidirect
78. #15689057	C₂²	semidirect
79. #15689057	C₂²	semidirect
80. #15689057	C₂²	semidirect
81. #15689057	C₂²	semidirect
82. #15689056	C₂²	semidirect
83. #15689056	C₂²	semidirect
84. #15689056	C₂²	semidirect
85. #15689056	C₂²	semidirect
86. #15689056	C₂²	semidirect
87. #15689056	C₂²	semidirect
88. #15689056	C₂²	semidirect
89. #15689056	C₂²	semidirect
90. #15689055	C₂²	semidirect
91. #15689055	C₂²	semidirect
92. #15689055	C₂²	semidirect
93. #15689055	C₂²	semidirect
94. #15689054	C₂²	semidirect
95. #15689054	C₂²	semidirect
96. #15689054	C₂²	semidirect
97. #15689054	C₂²	semidirect
98. #15689053	C₂²	semidirect
99. #15689053	C₂²	semidirect
100. #15689053	C₂²	semidirect
101. #15689053	C₂²	semidirect
137. #15689022	C₂²	semidirect
138. #15689021	C₂²	semidirect
139. #15689020	C₂²	semidirect
140. #15689020	C₂²	semidirect
141. #15689019	C₂²	semidirect
142. #15689018	C₂²	semidirect
143. #15689018	C₂²	semidirect
151. #15689010	C₂²	semidirect
152. #15689009	C₂²	semidirect
153. #15689008	C₂²	semidirect
154. #15689007	C₂²	semidirect
155. #15689006	C₂²	semidirect
156. #15689005	C₂²	semidirect
157. #15689004	C₂²	semidirect
172. C₄₇×#400	C₂²	semidirect
173. C₄₇×#400	C₂²	semidirect
175. C₄₇×#398	C₂²	semidirect
176. C₄₇×#398	C₂²	semidirect
177. C₄₇×#398	C₂²	semidirect
178. C₄₇×#398	C₂²	semidirect
184. C₄₇×#389	C₂²	semidirect
186. C₄₇×#387	C₂²	semidirect
727. #2836	D₄₇	direct (N × H)
752. D₄₇	#2836	direct (N × H)
788. #400	C₂×D₄₇	semidirect
789. #400	C₂×D₄₇	semidirect
826. #398	C₂×D₄₇	semidirect
827. #398	C₂×D₄₇	semidirect
828. #398	C₂×D₄₇	semidirect
829. #398	C₂×D₄₇	semidirect
877. #389	C₂×D₄₇	semidirect
893. #387	C₂×D₄₇	semidirect
908. C₄₇	C₂×#2836	semidirect

Maximal subgroups

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

subgroup	index
#20251594	2
#20251593	2
#20251592	2
#20251591	2
#20251590	2
#20251589	2
#20251588	2
#20251587	2
#20251586	2
#20251585	2
#20251584	2
#20251583	2
#20251582	2
#20251581	2
#20251580	2
#400×D₄₇	2
#399×D₄₇	2
#398×D₄₇	2
#397×D₄₇	2
#396×D₄₇	2
#389×D₄₇	2
#388×D₄₇	2
#387×D₄₇	2
C₄₇×#2836	2
C₂×#2836	47

Subgroups — D47×#2836 #26422518

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₇×#2836 #26422518