Subgroups — C₄×#15689868 #26378971

Order 12032.

2248 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689868	C₂	1	1	yes	maximal, characteristic
2	#20246570	C₂	1	1	yes	maximal, characteristic, complemented
3	#20246558	C₂	1	1	yes	maximal, characteristic, complemented
4	#20246557	C₂	1	1	yes	maximal, characteristic, complemented
5	#20246555	C₂	1	1	yes	maximal, characteristic, complemented
6	#20246551	C₂	1	1	yes	maximal, characteristic, complemented
7	#20246550	C₂	1	1	yes	maximal, characteristic, complemented
8	#20246548	C₂	1	1	yes	maximal, characteristic, complemented
9	#20246546	C₂	1	1	yes	maximal, characteristic, complemented
10	#20246545	C₂	1	1	yes	maximal, characteristic, complemented
11	#20246540	C₂	1	1	yes	maximal, characteristic, complemented
12	#20246539	C₂	1	1	yes	maximal, characteristic, complemented
13	#20246538	C₂	1	1	yes	maximal, characteristic, complemented
14	#20246532	C₂	1	1	yes	maximal, characteristic, complemented
15	#20246531	C₂	1	1	yes	maximal, characteristic, complemented
16	#20246530	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#13094014	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#13094011	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094010	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#13094003	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#13094002	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13094001	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13094001	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13094007	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#13094006	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#13094005	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#13094005	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13093996	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13093996	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13093995	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#121×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
32	#15689868	C₄	1	16	yes	direct product factor
33	C₂×#13094014	C₂²	1	1	yes	characteristic
34	C₂×#13094011	C₂²	1	1	yes	characteristic
35	C₂×#13094010	C₂²	1	1	yes	characteristic
36	C₂×#13094007	C₂²	1	1	yes	characteristic
37	C₂×#13094006	C₂²	1	1	yes	characteristic
38	C₂×#13094005	C₂²	1	1	yes	characteristic
39	C₂×#13094005	C₂²	1	1	yes	characteristic
40	C₂×#13094003	C₂²	1	1	yes	characteristic
41	C₂×#13094002	C₂²	1	1	yes	characteristic
42	C₂×#13094001	C₂²	1	1	yes	characteristic
43	C₂×#13094001	C₂²	1	1	yes	characteristic
44	C₂×#13093996	C₂²	1	1	yes	characteristic
45	C₂×#13093996	C₂²	1	1	yes	characteristic
46	C₂×#13093995	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
48	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
51	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
52	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
53	C₂²×C₄×Dic₄₇	C₂²	1	1	yes	characteristic
54	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
55	#15689029	C₂²	1	1	yes	characteristic
56	#15689028	C₂²	1	1	yes	characteristic
57	#15689027	C₂²	1	1	yes	characteristic
58	#15689027	C₂²	1	1	yes	characteristic
59	#15689027	C₂²	1	1	yes	characteristic
60	#15689027	C₂²	1	1	yes	characteristic
61	#15689026	C₂²	1	1	yes	characteristic
62	#15689026	C₂²	1	1	yes	characteristic
63	#15689023	C₂²	1	1	yes	characteristic
64	#15689023	C₂²	1	1	yes	characteristic
65	#15689023	C₂²	1	1	yes	characteristic
66	#15689021	C₂²	1	1	yes	characteristic
67	#15689020	C₂²	1	1	yes	characteristic
68	#15689020	C₂²	1	1	yes	characteristic
69	#15689020	C₂²	1	1	yes	characteristic
70	#15689019	C₂²	1	1	yes	characteristic
71	#15689018	C₂²	1	1	yes	characteristic
72	#15689018	C₂²	1	1	yes	characteristic
73	#15689018	C₂²	1	1	yes	characteristic
74	#15689018	C₂²	1	1	yes	characteristic
75	#15689017	C₂²	1	1	yes	characteristic
76	#15689017	C₂²	1	1	yes	characteristic
77	#15689017	C₂²	1	1	yes	characteristic
78	#15689017	C₂²	1	1	yes	characteristic
79	#15689017	C₂²	1	1	yes	characteristic
80	#15689017	C₂²	1	1	yes	characteristic
81	#15689017	C₂²	1	1	yes	characteristic
82	#15689016	C₂²	1	1	yes	characteristic
83	#15689016	C₂²	1	1	yes	characteristic
84	#15689015	C₂²	1	1	yes	characteristic
85	#15689014	C₂²	1	1	yes	characteristic
86	#15689014	C₂²	1	1	yes	characteristic
87	#15689013	C₂²	1	1	yes	characteristic
88	#15689013	C₂²	1	1	yes	characteristic
89	#15689012	C₂²	1	1	yes	characteristic
90	#15689011	C₂²	1	1	yes	characteristic
91	#15689011	C₂²	1	1	yes	characteristic
92	#15689011	C₂²	1	1	yes	characteristic
93	#15689011	C₂²	1	1	yes	characteristic
94	#15689011	C₂²	1	1	yes	characteristic
95	#15689011	C₂²	1	1	yes	characteristic
96	#15689011	C₂²	1	1	yes	characteristic
97	#15689010	C₂²	1	1	yes	characteristic
98	#15689010	C₂²	1	1	yes	characteristic
99	#15689009	C₂²	1	1	yes	characteristic
100	#15689009	C₂²	1	1	yes	characteristic
101	#15689008	C₂²	1	1	yes	characteristic
102	#15689007	C₂²	1	1	yes	characteristic
103	#15689007	C₂²	1	1	yes	characteristic
104	#15689007	C₂²	1	1	yes	characteristic
105	#15689007	C₂²	1	1	yes	characteristic
106	#15689006	C₂²	1	1	yes	characteristic
107	#15689006	C₂²	1	1	yes	characteristic
108	#15689006	C₂²	1	1	yes	characteristic
109	#15689005	C₂²	1	1	yes	characteristic
110	#15689005	C₂²	1	1	yes	characteristic
111	#15689005	C₂²	1	1	yes	characteristic
112	#15689004	C₂²	1	1	yes	characteristic
113	#15689004	C₂²	1	1	yes	characteristic
114	#15689004	C₂²	1	1	yes	characteristic
115	#15689004	C₂²	1	1	yes	characteristic
116	#15689004	C₂²	1	1	yes	characteristic
117	#15689003	C₂²	1	1	yes	characteristic
118	#15689003	C₂²	1	1	yes	characteristic
119	#15689003	C₂²	1	1	yes	characteristic
120	#15689003	C₂²	1	1	yes	characteristic
121	#15689002	C₂²	1	1	yes	characteristic
122	#15689000	C₂²	1	1	yes	characteristic
123	#15689000	C₂²	1	1	yes	characteristic
124	#15688999	C₂²	1	1	yes	characteristic
125	#15688999	C₂²	1	1	yes	characteristic
126	#15688999	C₂²	1	1	yes	characteristic
127	#15688998	C₂²	1	1	yes	characteristic
128	#15688998	C₂²	1	1	yes	characteristic
129	#15688997	C₂²	1	1	yes	characteristic
130	#15688997	C₂²	1	1	yes	characteristic
131	#15688996	C₂²	1	1	yes	characteristic
132	#15688996	C₂²	1	1	yes	characteristic
133	#15688996	C₂²	1	1	yes	characteristic
134	#15688995	C₂²	1	1	yes	characteristic
135	#15688995	C₂²	1	1	yes	characteristic
136	#15688995	C₂²	1	1	yes	characteristic
137	#15688995	C₂²	1	1	yes	characteristic
138	#15688994	C₂²	1	1	yes	characteristic
139	#15688988	C₂²	1	1	yes	characteristic
140	#15688987	C₂²	1	1	yes	characteristic
141	#15688987	C₂²	1	1	yes	characteristic
142	#15688986	C₂²	1	1	yes	characteristic
143	#15688985	C₂²	1	1	yes	characteristic
144	#15688984	C₂²	1	1	yes	characteristic
145	#15688984	C₂²	1	1	yes	characteristic
146	#15688983	C₂²	1	1	yes	characteristic
147	#15688982	C₂²	1	1	yes	characteristic
148	#15688981	C₂²	1	1	yes	characteristic
149	#15688981	C₂²	1	1	yes	characteristic
150	#15688981	C₂²	1	1	yes	characteristic
151	#15688981	C₂²	1	1	yes	characteristic
152	#15688980	C₂²	1	1	yes	characteristic
153	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×Dic₄₇⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
161	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
172	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
173	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
175	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
176	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
177	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
178	C₄₇×#390	C₂²	1	1	yes	characteristic
179	C₄₇×#389	C₂²	1	1	yes	characteristic
180	C₄₇×#388	C₂²	1	1	yes	characteristic
181	C₄₇×#388	C₂²	1	1	yes	characteristic
182	C₄₇×#386	C₂²	1	1	yes	characteristic
183	C₄₇×#386	C₂²	1	1	yes	characteristic
184	C₄₇×#380	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
188	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
189	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
196	C₂³×Dic₄₇	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	#13094014	C₂×C₄	1	8	yes	complemented
201	#13094011	C₂×C₄	1	8	yes	complemented
202	#13094010	C₂×C₄	1	8	yes	complemented
203	#13094007	C₂×C₄	1	8	yes	complemented
204	#13094006	C₂×C₄	1	8	yes	complemented
205	#13094005	C₂×C₄	1	8	yes	complemented
206	#13094005	C₂×C₄	1	8	yes	complemented
207	#13094003	C₂×C₄	1	8	yes	complemented
208	#13094002	C₂×C₄	1	8	yes	complemented
209	#13094001	C₂×C₄	1	8	yes	complemented
210	#13094001	C₂×C₄	1	8	yes	complemented
211	#13093996	C₂×C₄	1	8	yes	complemented
212	#13093996	C₂×C₄	1	8	yes	complemented
213	#13093995	C₂×C₄	1	8	yes	complemented
214	C₄×Dic₉₄	—	4	2	no	—
215	C₄×Dic₉₄	—	4	2	no	—
216	C₄×C₂²⋊D₄₇	—	4	2	no	—
217	C₄×C₂²⋊D₄₇	—	4	2	no	—
218	C₄×C₂²⋊D₄₇	—	4	2	no	—
219	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₇	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	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₄₇	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×C₄×Dic₄₇	—	4	2	no	—
273	C₂×C₄×Dic₄₇	—	4	2	no	—
274	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
291	C₄²×D₄₇	—	4	2	no	—
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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
329	C₄₇⋊#95	C₂³	1	1	yes	characteristic
330	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
338	#121×C₄₇	C₂×C₄	1	8	yes	complemented
339	C₄×D₄×C₄₇	—	4	2	no	—
340	C₄×D₄×C₄₇	—	4	2	no	—
341	C₄×D₄×C₄₇	—	4	2	no	—
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₄₇	—	4	2	no	—
358	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
364	#95×C₄₇	C₂³	1	1	yes	characteristic
365	#95×C₄₇	C₂³	1	1	yes	characteristic
366	#95×C₄₇	C₂³	1	1	yes	characteristic
367	#95×C₄₇	C₂³	1	1	yes	characteristic
368	#95×C₄₇	C₂³	1	1	yes	characteristic
369	#95×C₄₇	C₂³	1	1	yes	characteristic
370	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
374	C₂×D₄×C₄₇	—	4	1	no	—
375	C₂×D₄×C₄₇	—	4	1	no	—
376	C₂×D₄×C₄₇	—	4	1	no	—
377	C₂×D₄×C₄₇	—	4	1	no	—
378	C₂×D₄×C₄₇	—	4	1	no	—
379	C₂×D₄×C₄₇	—	4	1	no	—
380	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
381	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
382	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
383	C₂²×C₄×C₄₇	—	2	2	no	—
384	C₂²×C₄×C₄₇	—	2	2	no	—
385	C₂²×C₄×C₄₇	—	2	2	no	—
386	C₂²×C₄×C₄₇	—	2	2	no	—
387	C₂²×C₄×C₄₇	—	2	2	no	—
388	C₂²×C₄×C₄₇	—	2	2	no	—
389	C₂²×C₄×C₄₇	—	2	2	no	—
390	C₂²×C₄×C₄₇	—	2	2	no	—
391	C₂²×C₄×C₄₇	—	2	2	no	—
392	C₂²×C₄×C₄₇	—	4	1	no	—
393	C₂²×C₄×C₄₇	—	4	1	no	—
394	C₂²×C₄×C₄₇	—	4	1	no	—
395	C₂²×C₄×C₄₇	—	4	1	no	—
396	C₂²×C₄×C₄₇	—	4	1	no	—
397	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
398	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
410	C₂×C₂²⋊D₄₇	—	4	1	no	—
411	C₂×C₂²⋊D₄₇	—	4	1	no	—
412	C₂×C₂²⋊D₄₇	—	4	1	no	—
413	C₂×C₂²⋊D₄₇	—	4	1	no	—
414	C₂×C₂²⋊D₄₇	—	4	1	no	—
415	C₂×C₂²⋊D₄₇	—	4	1	no	—
416	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
417	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
418	C₂×C₂²⋊D₄₇	C₂²×C₄	1	4	yes	—
419	C₂²×Dic₄₇	—	4	1	no	—
420	C₂²×Dic₄₇	—	4	1	no	—
421	C₂²×Dic₄₇	—	4	1	no	—
422	C₂²×Dic₄₇	—	4	1	no	—
423	C₂²×Dic₄₇	—	4	1	no	—
424	C₂²×Dic₄₇	—	4	1	no	—
425	C₂²×Dic₄₇	—	4	1	no	—
426	C₂²×Dic₄₇	—	4	1	no	—
427	C₂²×Dic₄₇	—	4	1	no	—
428	C₂²×Dic₄₇	—	4	1	no	—
429	C₂²×Dic₄₇	C₂²×C₄	1	4	yes	—
430	C₂²×Dic₄₇	C₂²×C₄	1	4	yes	—
431	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
446	C₂×C₄×D₄₇	—	2	2	no	—
447	C₂×C₄×D₄₇	—	2	2	no	—
448	C₂×C₄×D₄₇	—	2	2	no	—
449	C₂×C₄×D₄₇	—	4	1	no	—
450	C₂×C₄×D₄₇	—	4	1	no	—
451	C₂×C₄×D₄₇	—	4	1	no	—
452	C₂×C₄×D₄₇	—	4	1	no	—
453	C₂×C₄×D₄₇	—	4	1	no	—
454	C₂×C₄×D₄₇	C₂²×C₄	1	4	yes	—
455	C₂×Dic₉₄	—	4	1	no	—
456	C₂×Dic₉₄	—	4	1	no	—
457	C₂×Dic₉₄	—	4	1	no	—
458	C₂×Dic₉₄	—	4	1	no	—
459	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
460	C₂×Dic₉₄	C₂²×C₄	1	4	yes	—
461	C₄⋊C₄×C₄₇	—	4	1	no	—
462	C₄⋊C₄×C₄₇	—	4	1	no	—
463	C₄⋊C₄×C₄₇	—	4	1	no	—
464	C₄⋊C₄×C₄₇	—	4	1	no	—
465	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
466	C₂²⋊C₄×C₄₇	—	4	1	no	—
467	C₂²⋊C₄×C₄₇	—	4	1	no	—
468	C₂²⋊C₄×C₄₇	—	4	1	no	—
469	C₂²⋊C₄×C₄₇	—	4	1	no	—
470	C₂²⋊C₄×C₄₇	—	4	1	no	—
471	C₂²⋊C₄×C₄₇	—	4	1	no	—
472	C₂²⋊C₄×C₄₇	—	4	1	no	—
473	C₂²⋊C₄×C₄₇	—	4	1	no	—
474	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
475	C₂²⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
476	C₄²×C₄₇	—	2	2	no	—
477	C₄²×C₄₇	—	2	2	no	—
478	C₄²×C₄₇	—	2	2	no	—
479	C₄²×C₄₇	—	2	2	no	—
480	C₄²×C₄₇	—	4	1	no	—
481	C₄²×C₄₇	—	4	1	no	—
482	C₂²⋊Dic₄₇	—	4	1	no	—
483	C₂²⋊Dic₄₇	—	4	1	no	—
484	C₂²⋊Dic₄₇	—	4	1	no	—
485	C₂²⋊Dic₄₇	—	4	1	no	—
486	C₂²⋊Dic₄₇	—	4	1	no	—
487	C₂²⋊Dic₄₇	—	4	1	no	—
488	C₂²⋊Dic₄₇	—	4	1	no	—
489	C₂²⋊Dic₄₇	—	4	1	no	—
490	C₂²⋊Dic₄₇	—	4	1	no	—
491	C₂²⋊Dic₄₇	—	4	1	no	—
492	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
493	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
494	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
495	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
496	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
497	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
498	C₂²⋊Dic₄₇	C₂²×C₄	1	4	yes	—
499	(C₂×D₄₇)⋊C₄	—	4	1	no	—
500	(C₂×D₄₇)⋊C₄	—	4	1	no	—
501	(C₂×D₄₇)⋊C₄	—	4	1	no	—
502	(C₂×D₄₇)⋊C₄	—	4	1	no	—
503	(C₂×D₄₇)⋊C₄	—	4	1	no	—
504	(C₂×D₄₇)⋊C₄	—	4	1	no	—
505	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
506	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
507	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	4	yes	—
508	C₄⋊Dic₄₇	—	4	1	no	—
509	C₄⋊Dic₄₇	—	4	1	no	—
510	C₄⋊Dic₄₇	—	4	1	no	—
511	C₄⋊Dic₄₇	—	4	1	no	—
512	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
513	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
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	Dic₄₇⋊C₄	—	4	1	no	—
525	Dic₄₇⋊C₄	—	4	1	no	—
526	Dic₄₇⋊C₄	—	4	1	no	—
527	Dic₄₇⋊C₄	—	4	1	no	—
528	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
529	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
530	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
531	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
532	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
533	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
534	Dic₄₇⋊C₄	C₂²×C₄	1	4	yes	—
535	C₄×Dic₄₇	—	2	2	no	—
536	C₄×Dic₄₇	—	2	2	no	—
537	C₄×Dic₄₇	—	2	2	no	—
538	C₄×Dic₄₇	—	2	2	no	—
539	C₄×Dic₄₇	—	2	2	no	—
540	C₄×Dic₄₇	—	2	2	no	—
541	C₄×Dic₄₇	—	2	2	no	—
542	C₄×Dic₄₇	—	4	1	no	—
543	C₄×Dic₄₇	—	4	1	no	—
544	C₄×Dic₄₇	—	4	1	no	—
545	C₄×Dic₄₇	—	4	1	no	—
546	C₄×Dic₄₇	—	4	1	no	—
547	C₄×Dic₄₇	—	4	1	no	—
548	C₄×Dic₄₇	—	4	1	no	—
549	C₄×Dic₄₇	—	4	1	no	—
550	C₄×Dic₄₇	—	4	1	no	—
551	C₄×Dic₄₇	C₂²×C₄	1	4	yes	—
552	C₂³×C₄₇	—	2	1	no	—
553	C₂³×C₄₇	—	2	1	no	—
554	C₂³×C₄₇	—	2	1	no	—
555	C₂³×C₄₇	—	2	1	no	—
556	C₂³×C₄₇	—	2	1	no	—
557	C₂³×C₄₇	—	2	1	no	—
558	C₂³×C₄₇	—	2	1	no	—
559	C₂³×C₄₇	—	2	1	no	—
560	C₂³×C₄₇	—	2	1	no	—
561	C₂³×C₄₇	—	2	1	no	—
562	C₂³×C₄₇	—	2	1	no	—
563	C₂³×C₄₇	—	2	1	no	—
564	C₂³×C₄₇	—	2	1	no	—
565	C₂³×C₄₇	—	2	1	no	—
566	C₂³×C₄₇	—	2	1	no	—
567	C₂³×C₄₇	—	2	1	no	—
568	C₂³×C₄₇	—	2	1	no	—
569	C₂³×C₄₇	—	2	1	no	—
570	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
571	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
572	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
573	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
574	C₂²×D₄₇	—	2	1	no	—
575	C₂²×D₄₇	—	2	1	no	—
576	C₂²×D₄₇	—	2	1	no	—
577	C₂²×D₄₇	—	2	1	no	—
578	C₂²×D₄₇	—	2	1	no	—
579	C₂²×D₄₇	—	2	1	no	—
580	C₂²×D₄₇	C₂³×C₄	1	2	yes	—
581	D₄×C₄₇	—	4	4	no	—
582	D₄×C₄₇	—	4	4	no	—
583	D₄×C₄₇	—	4	4	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	—	2	1	no	—
598	C₂×C₄×C₄₇	—	2	1	no	—
599	C₂×C₄×C₄₇	—	2	1	no	—
600	C₂×C₄×C₄₇	—	2	1	no	—
601	C₂×C₄×C₄₇	—	2	1	no	—
602	C₂×C₄×C₄₇	—	2	1	no	—
603	C₂×C₄×C₄₇	—	2	1	no	—
604	C₂×C₄×C₄₇	—	2	1	no	—
605	C₂×C₄×C₄₇	—	2	1	no	—
606	C₂×C₄×C₄₇	—	2	1	no	—
607	C₂×C₄×C₄₇	—	2	1	no	—
608	C₂×C₄×C₄₇	—	2	1	no	—
609	C₂×C₄×C₄₇	—	2	1	no	—
610	C₂×C₄×C₄₇	—	2	1	no	—
611	C₂×C₄×C₄₇	—	2	1	no	—
612	C₂×C₄×C₄₇	—	2	1	no	—
613	C₂×C₄×C₄₇	—	4	4	no	—
614	C₂×C₄×C₄₇	—	4	4	no	—
615	C₂×C₄×C₄₇	—	4	4	no	—
616	C₂×C₄×C₄₇	—	4	4	no	—
617	C₂×C₄×C₄₇	—	4	4	no	—
618	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
619	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
620	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
621	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
622	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
623	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
624	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
625	C₂²⋊D₄₇	—	4	4	no	—
626	C₂²⋊D₄₇	—	4	4	no	—
627	C₂²⋊D₄₇	—	4	4	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	—	2	1	no	—
640	C₂×Dic₄₇	—	2	1	no	—
641	C₂×Dic₄₇	—	2	1	no	—
642	C₂×Dic₄₇	—	2	1	no	—
643	C₂×Dic₄₇	—	2	1	no	—
644	C₂×Dic₄₇	—	2	1	no	—
645	C₂×Dic₄₇	—	2	1	no	—
646	C₂×Dic₄₇	—	2	1	no	—
647	C₂×Dic₄₇	—	2	1	no	—
648	C₂×Dic₄₇	—	2	1	no	—
649	C₂×Dic₄₇	—	2	1	no	—
650	C₂×Dic₄₇	—	2	1	no	—
651	C₂×Dic₄₇	—	2	1	no	—
652	C₂×Dic₄₇	—	2	1	no	—
653	C₂×Dic₄₇	—	2	1	no	—
654	C₂×Dic₄₇	—	2	1	no	—
655	C₂×Dic₄₇	—	2	1	no	—
656	C₂×Dic₄₇	—	2	1	no	—
657	C₂×Dic₄₇	—	2	1	no	—
658	C₂×Dic₄₇	—	2	1	no	—
659	C₂×Dic₄₇	—	2	1	no	—
660	C₂×Dic₄₇	—	2	1	no	—
661	C₂×Dic₄₇	—	2	1	no	—
662	C₂×Dic₄₇	—	2	1	no	—
663	C₂×Dic₄₇	—	2	1	no	—
664	C₂×Dic₄₇	—	2	1	no	—
665	C₂×Dic₄₇	—	2	1	no	—
666	C₂×Dic₄₇	—	4	4	no	—
667	C₂×Dic₄₇	—	4	4	no	—
668	C₂×Dic₄₇	—	4	4	no	—
669	C₂×Dic₄₇	—	4	4	no	—
670	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
671	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
672	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
673	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
674	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
675	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
676	C₂×Dic₄₇	C₂³×C₄	1	2	yes	—
677	C₄×D₄₇	—	4	4	no	—
678	C₄×D₄₇	—	4	4	no	—
679	C₄×D₄₇	—	4	4	no	—
680	Dic₉₄	—	4	4	no	—
681	Dic₉₄	—	4	4	no	—
682	C₄×#562	—	47	1	no	maximal, Sylow
683	C₂²×C₄₇	—	2	2	no	—
684	C₂²×C₄₇	—	2	2	no	—
685	C₂²×C₄₇	—	2	2	no	—
686	C₂²×C₄₇	—	2	2	no	—
687	C₂²×C₄₇	—	2	2	no	—
688	C₂²×C₄₇	—	2	2	no	—
689	C₂²×C₄₇	—	2	2	no	—
690	C₂²×C₄₇	—	2	2	no	—
691	C₂²×C₄₇	—	2	2	no	—
692	C₂²×C₄₇	—	4	1	no	—
693	C₂²×C₄₇	—	4	1	no	—
694	C₂²×C₄₇	—	4	1	no	—
695	C₂²×C₄₇	—	4	1	no	—
696	C₂²×C₄₇	—	4	1	no	—
697	C₂²×C₄₇	—	4	1	no	—
698	C₂²×C₄₇	—	4	1	no	—
699	C₂²×C₄₇	—	4	1	no	—
700	C₂²×C₄₇	—	4	1	no	—
701	C₂²×C₄₇	—	4	1	no	—
702	C₂²×C₄₇	—	4	1	no	—
703	C₂²×C₄₇	—	4	1	no	—
704	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
705	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
706	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
707	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
708	C₂²×C₄₇	#585	1	1	yes	characteristic
709	C₂²×C₄₇	#585	1	1	yes	characteristic
710	C₂²×C₄₇	#585	1	1	yes	characteristic
711	C₂×D₄₇	—	2	2	no	—
712	C₂×D₄₇	—	2	2	no	—
713	C₂×D₄₇	—	2	2	no	—
714	C₂×D₄₇	—	4	1	no	—
715	C₂×D₄₇	—	4	1	no	—
716	C₂×D₄₇	—	4	1	no	—
717	C₂×D₄₇	—	4	1	no	—
718	C₄×C₄₇	—	2	2	no	—
719	C₄×C₄₇	—	2	2	no	—
720	C₄×C₄₇	—	2	2	no	—
721	C₄×C₄₇	—	2	2	no	—
722	C₄×C₄₇	—	4	1	no	—
723	C₄×C₄₇	—	4	1	no	—
724	C₄×C₄₇	—	4	1	no	—
725	C₄×C₄₇	—	4	1	no	—
726	C₄×C₄₇	—	4	1	no	—
727	C₄×C₄₇	—	4	1	no	—
728	C₄×C₄₇	—	4	1	no	—
729	C₄×C₄₇	#562	1	4	yes	complemented
730	Dic₄₇	—	2	2	no	—
731	Dic₄₇	—	2	2	no	—
732	Dic₄₇	—	2	2	no	—
733	Dic₄₇	—	2	2	no	—
734	Dic₄₇	—	2	2	no	—
735	Dic₄₇	—	2	2	no	—
736	Dic₄₇	—	2	2	no	—
737	Dic₄₇	—	4	1	no	—
738	Dic₄₇	—	4	1	no	—
739	Dic₄₇	—	4	1	no	—
740	Dic₄₇	—	4	1	no	—
741	Dic₄₇	—	4	1	no	—
742	Dic₄₇	—	4	1	no	—
743	Dic₄₇	—	4	1	no	—
744	Dic₄₇	—	4	1	no	—
745	C₂×#562	—	47	1	no	—
746	#2382	—	47	1	no	—
747	#2379	—	47	1	no	—
748	#2379	—	47	1	no	—
749	#2378	—	47	1	no	—
750	#2378	—	47	1	no	—
751	#2378	—	47	1	no	—
752	#2378	—	47	1	no	—
753	#2377	—	47	1	no	—
754	#2377	—	47	1	no	—
755	#2377	—	47	1	no	—
756	#2377	—	47	1	no	—
757	#2376	—	47	1	no	—
758	#2376	—	47	1	no	—
759	#2376	—	47	1	no	—
760	#2376	—	47	1	no	—
761	C₄×#125	—	47	1	no	—
762	C₄×#124	—	47	1	no	—
763	C₄×#124	—	47	1	no	—
764	C₄×C₂²⋊Q₈	—	47	1	no	—
765	C₄×C₂²⋊Q₈	—	47	1	no	—
766	C₄×C₂²⋊Q₈	—	47	1	no	—
767	C₄×C₂²⋊Q₈	—	47	1	no	—
768	C₄×#123	—	47	1	no	—
769	C₄×#123	—	47	1	no	—
770	C₄×#123	—	47	1	no	—
771	C₄×#123	—	47	1	no	—
772	C₄×#121	—	47	1	no	—
773	C₄×#121	—	47	1	no	—
774	C₄×#121	—	47	1	no	—
775	C₄×#121	D₄₇	1	1	yes	characteristic, complemented
776	C₂×C₄₇	—	4	2	no	—
777	C₂×C₄₇	—	4	2	no	—
778	C₂×C₄₇	—	4	2	no	—
779	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
780	C₂×C₄₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
781	C₂×C₄₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
782	C₂×C₄₇	C₂×#562	1	1	yes	characteristic
783	C₂×C₄₇	#3529	1	1	yes	characteristic
784	C₂×C₄₇	#3529	1	1	yes	characteristic
785	C₂×C₄₇	#3531	1	1	yes	characteristic
786	D₄₇	—	4	2	no	—
787	#562	—	47	16	no	—
788	C₂×#125	—	47	1	no	—
789	C₂×#124	—	47	1	no	—
790	C₂×#124	—	47	1	no	—
791	C₂×#123	—	47	1	no	—
792	C₂×#123	—	47	1	no	—
793	C₂×#123	—	47	1	no	—
794	C₂×#123	—	47	1	no	—
795	C₂×C₂²⋊Q₈	—	47	1	no	—
796	C₂×C₂²⋊Q₈	—	47	1	no	—
797	C₂×C₂²⋊Q₈	—	47	1	no	—
798	C₂×C₂²⋊Q₈	—	47	1	no	—
799	C₂×#121	—	47	1	no	—
800	C₂×#121	—	47	1	no	—
801	C₂×#121	—	47	1	no	—
802	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
803	C₂×C₄×Q₈	—	47	1	no	—
804	C₂×C₄×Q₈	—	47	1	no	—
805	C₂×C₄×D₄	—	47	1	no	—
806	C₂×C₄×D₄	—	47	1	no	—
807	C₂×C₄×D₄	—	47	1	no	—
808	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
809	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
810	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
811	C₂²×C₄²	—	47	1	no	—
812	C₂²×C₄²	—	47	1	no	—
813	C₂²×C₄²	—	47	1	no	—
814	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
815	#391	—	47	1	no	—
816	#391	—	47	1	no	—
817	#391	—	47	1	no	—
818	#391	—	47	1	no	—
819	#391	—	47	1	no	—
820	#391	—	47	1	no	—
821	#390	—	47	1	no	—
822	#390	—	47	1	no	—
823	#390	—	47	1	no	—
824	#390	—	47	1	no	—
825	#390	—	47	1	no	—
826	#390	C₂×D₄₇	1	1	yes	characteristic
827	#389	—	47	1	no	—
828	#389	—	47	1	no	—
829	#389	—	47	1	no	—
830	#389	—	47	1	no	—
831	#389	—	47	1	no	—
832	#389	—	47	1	no	—
833	#389	—	47	1	no	—
834	#389	—	47	1	no	—
835	#389	—	47	1	no	—
836	#389	C₂×D₄₇	1	1	yes	characteristic
837	#388	—	47	1	no	—
838	#388	—	47	1	no	—
839	#388	—	47	1	no	—
840	#388	—	47	1	no	—
841	#388	—	47	1	no	—
842	#388	—	47	1	no	—
843	#388	—	47	1	no	—
844	#388	—	47	1	no	—
845	#388	—	47	1	no	—
846	#388	—	47	1	no	—
847	#388	—	47	1	no	—
848	#388	—	47	1	no	—
849	#388	—	47	1	no	—
850	#388	—	47	1	no	—
851	#388	—	47	1	no	—
852	#388	—	47	1	no	—
853	#388	—	47	1	no	—
854	#388	—	47	1	no	—
855	#388	—	47	1	no	—
856	#388	—	47	1	no	—
857	#388	—	47	1	no	—
858	#388	—	47	1	no	—
859	#388	C₂×D₄₇	1	1	yes	characteristic
860	#388	C₂×D₄₇	1	1	yes	characteristic
861	#387	—	47	1	no	—
862	#387	—	47	1	no	—
863	#387	—	47	1	no	—
864	#387	—	47	1	no	—
865	#387	—	47	1	no	—
866	#387	—	47	1	no	—
867	#387	—	47	1	no	—
868	#387	—	47	1	no	—
869	#387	—	47	1	no	—
870	#387	—	47	1	no	—
871	#387	—	47	1	no	—
872	#387	—	47	1	no	—
873	#387	—	47	1	no	—
874	#387	—	47	1	no	—
875	#387	—	47	1	no	—
876	#387	—	47	1	no	—
877	#387	—	47	1	no	—
878	#387	—	47	1	no	—
879	#387	—	47	1	no	—
880	#387	—	47	1	no	—
881	#386	—	47	1	no	—
882	#386	—	47	1	no	—
883	#386	—	47	1	no	—
884	#386	—	47	1	no	—
885	#386	—	47	1	no	—
886	#386	—	47	1	no	—
887	#386	—	47	1	no	—
888	#386	—	47	1	no	—
889	#386	—	47	1	no	—
890	#386	—	47	1	no	—
891	#386	C₂×D₄₇	1	1	yes	characteristic
892	#386	C₂×D₄₇	1	1	yes	characteristic
893	#385	—	47	1	no	—
894	#385	—	47	1	no	—
895	#385	—	47	1	no	—
896	#385	—	47	1	no	—
897	#385	—	47	1	no	—
898	#385	—	47	1	no	—
899	#385	—	47	1	no	—
900	#385	—	47	1	no	—
901	#385	—	47	1	no	—
902	#385	—	47	1	no	—
903	#385	—	47	1	no	—
904	#385	—	47	1	no	—
905	#382	—	47	1	no	—
906	#382	—	47	1	no	—
907	#382	—	47	1	no	—
908	#381	—	47	1	no	—
909	#381	—	47	1	no	—
910	#381	—	47	1	no	—
911	#381	—	47	1	no	—
912	#380	—	47	1	no	—
913	#380	—	47	1	no	—
914	#380	—	47	1	no	—
915	#380	—	47	1	no	—
916	#380	—	47	1	no	—
917	#380	—	47	1	no	—
918	#380	—	47	1	no	—
919	#380	C₂×D₄₇	1	1	yes	characteristic
920	C₄×C₄⋊C₄	—	47	1	no	—
921	C₄×C₄⋊C₄	—	47	1	no	—
922	C₄×C₄⋊C₄	—	47	1	no	—
923	C₄×C₄⋊C₄	—	47	1	no	—
924	C₄×C₄⋊C₄	—	47	1	no	—
925	C₄×C₄⋊C₄	—	47	1	no	—
926	C₄×C₄⋊C₄	—	47	1	no	—
927	C₄×C₄⋊C₄	—	47	1	no	—
928	C₄×C₄⋊C₄	—	47	1	no	—
929	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
930	C₄×C₂²⋊C₄	—	47	1	no	—
931	C₄×C₂²⋊C₄	—	47	1	no	—
932	C₄×C₂²⋊C₄	—	47	1	no	—
933	C₄×C₂²⋊C₄	—	47	1	no	—
934	C₄×C₂²⋊C₄	—	47	1	no	—
935	C₄×C₂²⋊C₄	—	47	1	no	—
936	C₄×C₂²⋊C₄	—	47	1	no	—
937	C₄×C₂²⋊C₄	—	47	1	no	—
938	C₄×C₂²⋊C₄	—	47	1	no	—
939	C₄×C₂²⋊C₄	—	47	1	no	—
940	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
941	C₄×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
942	C₄³	—	47	1	no	—
943	C₄₇	C₄×#562	1	1	yes	characteristic, complemented, Sylow
944	C₂²×Q₈	—	47	1	no	—
945	C₂²×Q₈	—	47	1	no	—
946	C₂²×D₄	—	47	1	no	—
947	C₂²×D₄	—	47	1	no	—
948	C₂²×D₄	—	47	1	no	—
949	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
950	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
951	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
952	C₂³×C₄	—	47	1	no	—
953	C₂³×C₄	—	47	1	no	—
954	C₂³×C₄	—	47	1	no	—
955	C₂³×C₄	—	47	1	no	—
956	C₂³×C₄	—	47	1	no	—
957	C₂³×C₄	—	47	1	no	—
958	C₂³×C₄	—	47	1	no	—
959	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
960	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
961	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
962	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
963	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
964	#125	—	47	8	no	—
965	#124	—	47	8	no	—
966	#124	—	47	8	no	—
967	#123	—	47	8	no	—
968	#123	—	47	8	no	—
969	#123	—	47	8	no	—
970	#123	—	47	8	no	—
971	C₂²⋊Q₈	—	47	8	no	—
972	C₂²⋊Q₈	—	47	8	no	—
973	C₂²⋊Q₈	—	47	8	no	—
974	C₂²⋊Q₈	—	47	8	no	—
975	#121	—	47	8	no	—
976	#121	—	47	8	no	—
977	#121	—	47	8	no	—
978	#121	C₄×D₄₇	1	8	yes	complemented
979	C₄×Q₈	—	188	2	no	—
980	C₄×Q₈	—	188	2	no	—
981	C₄×D₄	—	4	2	no	—
982	C₄×D₄	—	4	2	no	—
983	C₄×D₄	—	4	2	no	—
984	C₄×D₄	—	188	2	no	—
985	C₄×D₄	—	188	2	no	—
986	C₄×D₄	—	188	2	no	—
987	C₂×C₄⋊C₄	—	47	1	no	—
988	C₂×C₄⋊C₄	—	47	1	no	—
989	C₂×C₄⋊C₄	—	47	1	no	—
990	C₂×C₄⋊C₄	—	47	1	no	—
991	C₂×C₄⋊C₄	—	47	1	no	—
992	C₂×C₄⋊C₄	—	47	1	no	—
993	C₂×C₄⋊C₄	—	47	1	no	—
994	C₂×C₄⋊C₄	—	47	1	no	—
995	C₂×C₄⋊C₄	—	47	1	no	—
996	C₂×C₄⋊C₄	—	47	1	no	—
997	C₂×C₄⋊C₄	—	47	1	no	—
998	C₂×C₄⋊C₄	—	47	1	no	—
999	C₂×C₄⋊C₄	—	47	1	no	—
1000	C₂×C₄⋊C₄	—	47	1	no	—
1001	C₂×C₄⋊C₄	—	47	1	no	—
1002	C₂×C₄⋊C₄	—	47	1	no	—
1003	C₂×C₄⋊C₄	—	47	1	no	—
1004	C₂×C₄⋊C₄	—	47	1	no	—
1005	C₂×C₄⋊C₄	—	47	1	no	—
1006	C₂×C₄⋊C₄	—	47	1	no	—
1007	C₂×C₄⋊C₄	—	47	1	no	—
1008	C₂×C₄⋊C₄	—	47	1	no	—
1009	C₂×C₄⋊C₄	—	47	1	no	—
1010	C₂×C₄⋊C₄	—	47	1	no	—
1011	C₂×C₄⋊C₄	—	47	1	no	—
1012	C₂×C₄⋊C₄	—	47	1	no	—
1013	C₂×C₄⋊C₄	—	47	1	no	—
1014	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	—	47	1	no	—
1020	C₂×C₂²⋊C₄	—	47	1	no	—
1021	C₂×C₂²⋊C₄	—	47	1	no	—
1022	C₂×C₂²⋊C₄	—	47	1	no	—
1023	C₂×C₂²⋊C₄	—	47	1	no	—
1024	C₂×C₂²⋊C₄	—	47	1	no	—
1025	C₂×C₂²⋊C₄	—	47	1	no	—
1026	C₂×C₂²⋊C₄	—	47	1	no	—
1027	C₂×C₂²⋊C₄	—	47	1	no	—
1028	C₂×C₂²⋊C₄	—	47	1	no	—
1029	C₂×C₂²⋊C₄	—	47	1	no	—
1030	C₂×C₂²⋊C₄	—	47	1	no	—
1031	C₂×C₂²⋊C₄	—	47	1	no	—
1032	C₂×C₂²⋊C₄	—	47	1	no	—
1033	C₂×C₂²⋊C₄	—	47	1	no	—
1034	C₂×C₂²⋊C₄	—	47	1	no	—
1035	C₂×C₂²⋊C₄	—	47	1	no	—
1036	C₂×C₂²⋊C₄	—	47	1	no	—
1037	C₂×C₂²⋊C₄	—	47	1	no	—
1038	C₂×C₂²⋊C₄	—	47	1	no	—
1039	C₂×C₂²⋊C₄	—	47	1	no	—
1040	C₂×C₂²⋊C₄	—	47	1	no	—
1041	C₂×C₂²⋊C₄	—	47	1	no	—
1042	C₂×C₂²⋊C₄	—	47	1	no	—
1043	C₂×C₂²⋊C₄	—	47	1	no	—
1044	C₂×C₂²⋊C₄	—	47	1	no	—
1045	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1055	C₂×C₄²	—	4	2	no	—
1056	C₂×C₄²	—	47	1	no	—
1057	C₂×C₄²	—	47	1	no	—
1058	C₂×C₄²	—	47	1	no	—
1059	C₂×C₄²	—	47	1	no	—
1060	C₂×C₄²	—	47	1	no	—
1061	C₂×C₄²	—	47	1	no	—
1062	C₂×C₄²	—	47	1	no	—
1063	C₂×C₄²	—	47	1	no	—
1064	C₂×C₄²	—	47	1	no	—
1065	C₂×C₄²	—	47	1	no	—
1066	C₂×C₄²	—	47	1	no	—
1067	C₂×C₄²	—	47	1	no	—
1068	C₂×C₄²	—	47	1	no	—
1069	C₂×C₄²	—	47	1	no	—
1070	C₂×C₄²	—	47	1	no	—
1071	C₂×C₄²	—	47	1	no	—
1072	C₂×C₄²	—	47	1	no	—
1073	C₂×C₄²	—	188	2	no	—
1074	C₂×C₄²	—	188	2	no	—
1075	C₂×C₄²	—	188	2	no	—
1076	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1077	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1078	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1079	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1080	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1081	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1082	#95	—	47	1	no	—
1083	#95	—	47	1	no	—
1084	#95	—	47	1	no	—
1085	#95	—	47	1	no	—
1086	#95	—	47	1	no	—
1087	#95	—	47	1	no	—
1088	#95	—	47	1	no	—
1089	#95	—	47	1	no	—
1090	#95	—	47	1	no	—
1091	#95	—	47	1	no	—
1092	#95	—	47	1	no	—
1093	#95	—	47	1	no	—
1094	#95	—	47	1	no	—
1095	#95	—	47	1	no	—
1096	#95	—	47	1	no	—
1097	#95	—	47	1	no	—
1098	#95	—	47	1	no	—
1099	#95	—	47	1	no	—
1100	#95	—	47	1	no	—
1101	#95	—	47	1	no	—
1102	#95	—	47	1	no	—
1103	#95	—	47	1	no	—
1104	#95	—	47	1	no	—
1105	#95	—	47	1	no	—
1106	#95	—	47	1	no	—
1107	#95	—	47	1	no	—
1108	#95	—	47	1	no	—
1109	#95	—	47	1	no	—
1110	#95	—	47	1	no	—
1111	#95	—	47	1	no	—
1112	#95	—	47	1	no	—
1113	#95	—	47	1	no	—
1114	#95	—	47	1	no	—
1115	#95	—	47	1	no	—
1116	#95	—	47	1	no	—
1117	#95	—	47	1	no	—
1118	#95	—	47	1	no	—
1119	#95	—	47	1	no	—
1120	#95	C₂²×D₄₇	1	1	yes	characteristic
1121	#95	C₂²×D₄₇	1	1	yes	characteristic
1122	#95	C₂²×D₄₇	1	1	yes	characteristic
1123	#95	C₂²×D₄₇	1	1	yes	characteristic
1124	#95	C₂²×D₄₇	1	1	yes	characteristic
1125	#95	C₂²×D₄₇	1	1	yes	characteristic
1126	C₂⁴	—	47	1	no	—
1127	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1128	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1129	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1130	C₂×Q₈	—	47	4	no	—
1131	C₂×Q₈	—	47	4	no	—
1132	C₂×Q₈	—	188	1	no	—
1133	C₂×Q₈	—	188	1	no	—
1134	C₂×Q₈	—	188	1	no	—
1135	C₂×Q₈	—	188	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	—	47	4	no	—
1143	C₂×D₄	—	47	4	no	—
1144	C₂×D₄	—	47	4	no	—
1145	C₂×D₄	—	188	1	no	—
1146	C₂×D₄	—	188	1	no	—
1147	C₂×D₄	—	188	1	no	—
1148	C₂×D₄	—	188	1	no	—
1149	C₂×D₄	—	188	1	no	—
1150	C₂×D₄	—	188	1	no	—
1151	C₂×D₄	C₂×C₄×D₄₇	1	4	yes	—
1152	C₂×D₄	C₂×C₄×D₄₇	1	4	yes	—
1153	C₂×D₄	C₂×C₄×D₄₇	1	4	yes	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	2	2	no	—
1162	C₂²×C₄	—	2	2	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	47	1	no	—
1169	C₂²×C₄	—	47	1	no	—
1170	C₂²×C₄	—	47	1	no	—
1171	C₂²×C₄	—	47	1	no	—
1172	C₂²×C₄	—	47	1	no	—
1173	C₂²×C₄	—	47	1	no	—
1174	C₂²×C₄	—	47	1	no	—
1175	C₂²×C₄	—	47	4	no	—
1176	C₂²×C₄	—	47	4	no	—
1177	C₂²×C₄	—	47	4	no	—
1178	C₂²×C₄	—	47	1	no	—
1179	C₂²×C₄	—	47	1	no	—
1180	C₂²×C₄	—	47	1	no	—
1181	C₂²×C₄	—	47	1	no	—
1182	C₂²×C₄	—	47	1	no	—
1183	C₂²×C₄	—	47	1	no	—
1184	C₂²×C₄	—	47	1	no	—
1185	C₂²×C₄	—	47	1	no	—
1186	C₂²×C₄	—	94	2	no	—
1187	C₂²×C₄	—	94	2	no	—
1188	C₂²×C₄	—	94	2	no	—
1189	C₂²×C₄	—	188	1	no	—
1190	C₂²×C₄	—	188	1	no	—
1191	C₂²×C₄	—	188	1	no	—
1192	C₂²×C₄	—	188	1	no	—
1193	C₂²×C₄	—	188	1	no	—
1194	C₂²×C₄	—	188	1	no	—
1195	C₂²×C₄	—	188	1	no	—
1196	C₂²×C₄	—	188	1	no	—
1197	C₂²×C₄	—	188	1	no	—
1198	C₂²×C₄	—	188	1	no	—
1199	C₂²×C₄	—	188	1	no	—
1200	C₂²×C₄	—	188	1	no	—
1201	C₂²×C₄	—	188	1	no	—
1202	C₂²×C₄	—	188	1	no	—
1203	C₂²×C₄	—	188	1	no	—
1204	C₂²×C₄	C₂×C₄×D₄₇	1	4	yes	—
1205	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1206	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1207	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1208	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1209	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1210	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1211	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1217	C₄⋊C₄	—	4	1	no	—
1218	C₄⋊C₄	—	4	1	no	—
1219	C₄⋊C₄	—	4	1	no	—
1220	C₄⋊C₄	—	4	1	no	—
1221	C₄⋊C₄	—	47	4	no	—
1222	C₄⋊C₄	—	47	4	no	—
1223	C₄⋊C₄	—	47	4	no	—
1224	C₄⋊C₄	—	47	4	no	—
1225	C₄⋊C₄	—	47	4	no	—
1226	C₄⋊C₄	—	47	4	no	—
1227	C₄⋊C₄	—	47	4	no	—
1228	C₄⋊C₄	—	47	4	no	—
1229	C₄⋊C₄	—	47	4	no	—
1230	C₄⋊C₄	—	188	1	no	—
1231	C₄⋊C₄	—	188	1	no	—
1232	C₄⋊C₄	—	188	1	no	—
1233	C₄⋊C₄	—	188	1	no	—
1234	C₄⋊C₄	—	188	1	no	—
1235	C₄⋊C₄	—	188	1	no	—
1236	C₄⋊C₄	—	188	1	no	—
1237	C₄⋊C₄	—	188	1	no	—
1238	C₄⋊C₄	—	188	1	no	—
1239	C₄⋊C₄	—	188	1	no	—
1240	C₄⋊C₄	—	188	1	no	—
1241	C₄⋊C₄	—	188	1	no	—
1242	C₄⋊C₄	—	188	1	no	—
1243	C₄⋊C₄	—	188	1	no	—
1244	C₄⋊C₄	—	188	1	no	—
1245	C₄⋊C₄	—	188	1	no	—
1246	C₄⋊C₄	—	188	1	no	—
1247	C₄⋊C₄	—	188	1	no	—
1248	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1249	C₂²⋊C₄	—	4	1	no	—
1250	C₂²⋊C₄	—	4	1	no	—
1251	C₂²⋊C₄	—	4	1	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	47	4	no	—
1258	C₂²⋊C₄	—	47	4	no	—
1259	C₂²⋊C₄	—	47	4	no	—
1260	C₂²⋊C₄	—	47	4	no	—
1261	C₂²⋊C₄	—	47	4	no	—
1262	C₂²⋊C₄	—	47	4	no	—
1263	C₂²⋊C₄	—	47	4	no	—
1264	C₂²⋊C₄	—	47	4	no	—
1265	C₂²⋊C₄	—	47	4	no	—
1266	C₂²⋊C₄	—	47	4	no	—
1267	C₂²⋊C₄	—	188	1	no	—
1268	C₂²⋊C₄	—	188	1	no	—
1269	C₂²⋊C₄	—	188	1	no	—
1270	C₂²⋊C₄	—	188	1	no	—
1271	C₂²⋊C₄	—	188	1	no	—
1272	C₂²⋊C₄	—	188	1	no	—
1273	C₂²⋊C₄	—	188	1	no	—
1274	C₂²⋊C₄	—	188	1	no	—
1275	C₂²⋊C₄	—	188	1	no	—
1276	C₂²⋊C₄	—	188	1	no	—
1277	C₂²⋊C₄	—	188	1	no	—
1278	C₂²⋊C₄	—	188	1	no	—
1279	C₂²⋊C₄	—	188	1	no	—
1280	C₂²⋊C₄	—	188	1	no	—
1281	C₂²⋊C₄	—	188	1	no	—
1282	C₂²⋊C₄	—	188	1	no	—
1283	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1284	C₂²⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
1285	C₄²	—	2	2	no	—
1286	C₄²	—	2	2	no	—
1287	C₄²	—	2	2	no	—
1288	C₄²	—	2	2	no	—
1289	C₄²	—	4	1	no	—
1290	C₄²	—	4	1	no	—
1291	C₄²	—	47	4	no	—
1292	C₄²	—	94	2	no	—
1293	C₄²	—	94	2	no	—
1294	C₄²	—	94	2	no	—
1295	C₄²	—	94	2	no	—
1296	C₄²	—	94	2	no	—
1297	C₄²	—	94	2	no	—
1298	C₄²	—	94	2	no	—
1299	C₄²	—	188	1	no	—
1300	C₄²	—	188	1	no	—
1301	C₄²	—	188	1	no	—
1302	C₄²	—	188	1	no	—
1303	C₄²	—	188	1	no	—
1304	C₄²	—	188	1	no	—
1305	C₄²	—	188	1	no	—
1306	C₄²	—	188	1	no	—
1307	C₄²	—	188	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	47	2	no	—
1327	C₂³	—	94	1	no	—
1328	C₂³	—	94	1	no	—
1329	C₂³	—	94	1	no	—
1330	C₂³	—	94	1	no	—
1331	C₂³	—	94	1	no	—
1332	C₂³	—	94	1	no	—
1333	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1334	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1335	C₂³	C₂²×C₄×D₄₇	1	2	yes	—
1336	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1337	Q₈	—	188	4	no	—
1338	Q₈	—	188	4	no	—
1339	D₄	—	4	4	no	—
1340	D₄	—	4	4	no	—
1341	D₄	—	4	4	no	—
1342	D₄	—	188	4	no	—
1343	D₄	—	188	4	no	—
1344	D₄	—	188	4	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	4	4	no	—
1375	C₂×C₄	—	4	4	no	—
1376	C₂×C₄	—	4	4	no	—
1377	C₂×C₄	—	4	4	no	—
1378	C₂×C₄	—	4	4	no	—
1379	C₂×C₄	—	47	2	no	—
1380	C₂×C₄	—	47	2	no	—
1381	C₂×C₄	—	47	2	no	—
1382	C₂×C₄	—	47	2	no	—
1383	C₂×C₄	—	47	2	no	—
1384	C₂×C₄	—	47	2	no	—
1385	C₂×C₄	—	47	2	no	—
1386	C₂×C₄	—	94	1	no	—
1387	C₂×C₄	—	94	1	no	—
1388	C₂×C₄	—	94	1	no	—
1389	C₂×C₄	—	94	1	no	—
1390	C₂×C₄	—	94	1	no	—
1391	C₂×C₄	—	94	1	no	—
1392	C₂×C₄	—	94	1	no	—
1393	C₂×C₄	—	94	1	no	—
1394	C₂×C₄	—	94	1	no	—
1395	C₂×C₄	—	94	1	no	—
1396	C₂×C₄	—	94	1	no	—
1397	C₂×C₄	—	94	1	no	—
1398	C₂×C₄	—	94	1	no	—
1399	C₂×C₄	—	94	1	no	—
1400	C₂×C₄	—	94	1	no	—
1401	C₂×C₄	—	94	1	no	—
1402	C₂×C₄	—	94	1	no	—
1403	C₂×C₄	—	94	1	no	—
1404	C₂×C₄	—	94	1	no	—
1405	C₂×C₄	—	94	1	no	—
1406	C₂×C₄	—	94	1	no	—
1407	C₂×C₄	—	94	1	no	—
1408	C₂×C₄	—	94	1	no	—
1409	C₂×C₄	—	94	1	no	—
1410	C₂×C₄	—	94	1	no	—
1411	C₂×C₄	—	94	1	no	—
1412	C₂×C₄	—	94	1	no	—
1413	C₂×C₄	—	94	1	no	—
1414	C₂×C₄	—	94	1	no	—
1415	C₂×C₄	—	94	1	no	—
1416	C₂×C₄	—	94	1	no	—
1417	C₂×C₄	—	94	1	no	—
1418	C₂×C₄	—	94	1	no	—
1419	C₂×C₄	—	94	1	no	—
1420	C₂×C₄	—	94	1	no	—
1421	C₂×C₄	—	94	1	no	—
1422	C₂×C₄	—	94	1	no	—
1423	C₂×C₄	—	94	1	no	—
1424	C₂×C₄	—	188	4	no	—
1425	C₂×C₄	—	188	4	no	—
1426	C₂×C₄	—	188	4	no	—
1427	C₂×C₄	—	188	4	no	—
1428	C₂×C₄	—	188	4	no	—
1429	C₂×C₄	—	188	4	no	—
1430	C₂×C₄	—	188	4	no	—
1431	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1432	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1433	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1434	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1435	C₂×C₄	#13094069	1	2	yes	—
1436	C₂×C₄	#13094069	1	2	yes	—
1437	C₂×C₄	#13094071	1	2	yes	—
1438	C₂²	—	2	2	no	—
1439	C₂²	—	2	2	no	—
1440	C₂²	—	2	2	no	—
1441	C₂²	—	2	2	no	—
1442	C₂²	—	2	2	no	—
1443	C₂²	—	2	2	no	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	1	no	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	94	2	no	—
1460	C₂²	—	94	2	no	—
1461	C₂²	—	94	2	no	—
1462	C₂²	—	188	1	no	—
1463	C₂²	—	188	1	no	—
1464	C₂²	—	188	1	no	—
1465	C₂²	—	188	1	no	—
1466	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
1467	C₂²	C₂×#13094069	1	1	yes	characteristic
1468	C₂²	C₂×#13094069	1	1	yes	characteristic
1469	C₂²	C₂×#13094071	1	1	yes	characteristic
1470	C₂²	#15689959	1	1	yes	characteristic
1471	C₂²	#15689959	1	1	yes	characteristic
1472	C₂²	#15689959	1	1	yes	characteristic
1473	C₄	—	2	2	no	—
1474	C₄	—	2	2	no	—
1475	C₄	—	2	2	no	—
1476	C₄	—	2	2	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	94	2	no	—
1485	C₄	—	94	2	no	—
1486	C₄	—	94	2	no	—
1487	C₄	—	94	2	no	—
1488	C₄	—	94	2	no	—
1489	C₄	—	94	2	no	—
1490	C₄	—	94	2	no	—
1491	C₄	—	188	1	no	—
1492	C₄	—	188	1	no	—
1493	C₄	—	188	1	no	—
1494	C₄	—	188	1	no	—
1495	C₄	—	188	1	no	—
1496	C₄	—	188	1	no	—
1497	C₄	—	188	1	no	—
1498	C₄	—	188	1	no	—
1499	C₄	#15689868	1	4	yes	direct product factor
1500	C₂	—	4	2	no	—
1501	C₂	—	4	2	no	—
1502	C₂	—	4	2	no	—
1503	C₂	—	188	2	no	—
1504	C₂	C₄×#13094069	1	1	yes	characteristic
1505	C₂	C₄×#13094069	1	1	yes	characteristic
1506	C₂	C₄×#13094071	1	1	yes	characteristic
1507	C₂	C₂×#15689868	1	1	yes	characteristic
1508	C₂	#20257524	1	1	yes	characteristic
1509	C₂	#20257526	1	1	yes	characteristic
1510	C₂	#20257533	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₄₇
Fitting	C₄×#121×C₄₇	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#15689868	C₂
hypercenter	C₄×#121	D₄₇
hypocenter	C₄₇	C₄×#562
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#121

Complements

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

N	H ≅ G/N	type
2. #20246570	C₂	semidirect
3. #20246558	C₂	semidirect
4. #20246557	C₂	semidirect
5. #20246555	C₂	semidirect
6. #20246551	C₂	semidirect
7. #20246550	C₂	semidirect
8. #20246548	C₂	semidirect
9. #20246546	C₂	semidirect
10. #20246545	C₂	semidirect
11. #20246540	C₂	semidirect
12. #20246539	C₂	semidirect
13. #20246538	C₂	semidirect
14. #20246532	C₂	semidirect
15. #20246531	C₂	semidirect
16. #20246530	C₂	semidirect
17. C₄×#13094014	C₂	semidirect
18. C₄×#13094011	C₂	semidirect
19. C₄×#13094010	C₂	semidirect
20. C₄×#13094003	C₂	semidirect
21. C₄×#13094002	C₂	semidirect
22. C₄×#13094001	C₂	semidirect
23. C₄×#13094001	C₂	semidirect
24. C₄×#13094007	C₂	semidirect
25. C₄×#13094006	C₂	semidirect
26. C₄×#13094005	C₂	semidirect
27. C₄×#13094005	C₂	semidirect
28. C₄×#13093996	C₂	semidirect
29. C₄×#13093996	C₂	semidirect
30. C₄×#13093995	C₂	semidirect
31. C₄×#121×C₄₇	C₂	semidirect
32. #15689868	C₄	direct (N × H)
200. #13094014	C₂×C₄	semidirect
201. #13094011	C₂×C₄	semidirect
202. #13094010	C₂×C₄	semidirect
203. #13094007	C₂×C₄	semidirect
204. #13094006	C₂×C₄	semidirect
205. #13094005	C₂×C₄	semidirect
206. #13094005	C₂×C₄	semidirect
207. #13094003	C₂×C₄	semidirect
208. #13094002	C₂×C₄	semidirect
209. #13094001	C₂×C₄	semidirect
210. #13094001	C₂×C₄	semidirect
211. #13093996	C₂×C₄	semidirect
212. #13093996	C₂×C₄	semidirect
213. #13093995	C₂×C₄	semidirect
338. #121×C₄₇	C₂×C₄	semidirect
729. C₄×C₄₇	#562	semidirect
775. C₄×#121	D₄₇	semidirect
943. C₄₇	C₄×#562	semidirect
978. #121	C₄×D₄₇	semidirect
1499. C₄	#15689868	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#15689868	2
#20246570	2
#20246558	2
#20246557	2
#20246555	2
#20246551	2
#20246550	2
#20246548	2
#20246546	2
#20246545	2
#20246540	2
#20246539	2
#20246538	2
#20246532	2
#20246531	2
#20246530	2
C₄×#13094014	2
C₄×#13094011	2
C₄×#13094010	2
C₄×#13094003	2
C₄×#13094002	2
C₄×#13094001	2
C₄×#13094007	2
C₄×#13094006	2
C₄×#13094005	2
C₄×#13093996	2
C₄×#13093995	2
C₄×#121×C₄₇	2
C₄×#562	47

Subgroups — C4×#15689868 #26378971

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#15689868 #26378971