Subgroups — C₂×D₄×#10625352 #27123232

Order 12032.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#10625352	C₂	1	2	yes	maximal, complemented
2	D₄×#10625352	C₂	1	32	yes	maximal, direct product factor
3	C₂×#15689793	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄×Dic₉₄	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689779	C₂	1	2	yes	maximal, complemented
6	C₂×#15689777	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689773	C₂	1	2	yes	maximal, complemented
8	C₂×#15689767	C₂	1	2	yes	maximal, complemented
9	C₂×#15689760	C₂	1	4	yes	maximal, complemented
10	C₂×D₄×C₂²⋊D₄₇	C₂	1	2	yes	maximal, complemented
11	C₂×#15689671	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689668	C₂	1	2	yes	maximal, complemented
13	C₂×#15689633	C₂	1	2	yes	maximal, complemented
14	C₂×#15689629	C₂	1	4	yes	maximal, complemented
15	C₂×C₄×#10625352	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×D₄×Dic₄₇	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×D₄×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×D₄²×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#10625352	—	2	32	no	—
20	C₂²×#10625352	C₂²	1	1	yes	characteristic
21	C₂²×#10625352	C₂²	1	4	yes	complemented
22	C₂²×#10625352	C₂²	1	2	yes	complemented
23	C₂²×#10625352	C₂²	1	2	yes	complemented
24	C₂²×#10625352	C₂²	1	4	yes	complemented
25	C₂²×#10625352	C₂²	1	2	yes	complemented
26	C₂²×#10625352	C₂²	1	32	yes	complemented
27	C₂³×Dic₉₄	C₂²	1	2	yes	complemented
28	C₂³×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
29	C₂²×D₄×D₄₇	C₂²	1	1	yes	characteristic
30	C₂⁴×Dic₄₇	C₂²	1	4	yes	complemented
31	C₂³×C₄×D₄₇	C₂²	1	2	yes	complemented
32	#15689793	C₂²	1	16	yes	complemented
33	D₄×Dic₉₄	C₂²	1	16	yes	complemented
34	#15689779	C₂²	1	32	yes	complemented
35	#15689777	C₂²	1	16	yes	complemented
36	#15689773	C₂²	1	32	yes	complemented
37	#15689767	C₂²	1	32	yes	complemented
38	#15689760	C₂²	1	64	yes	complemented
39	D₄×C₂²⋊D₄₇	C₂²	1	32	yes	complemented
40	#15689671	C₂²	1	16	yes	complemented
41	#15689668	C₂²	1	32	yes	complemented
42	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
43	C₂×#13094023	C₂²	1	2	yes	complemented
44	C₂×#13094020	C₂²	1	2	yes	complemented
45	C₂×#13094011	C₂²	1	2	yes	complemented
46	C₂×#13094010	C₂²	1	4	yes	complemented
47	#15689633	C₂²	1	32	yes	complemented
48	#15689629	C₂²	1	64	yes	complemented
49	C₂×#13094008	C₂²	1	4	yes	complemented
50	C₂×#13094006	C₂²	1	4	yes	complemented
51	C₂×#13094005	C₂²	1	4	yes	complemented
52	C₂×#13094004	C₂²	1	2	yes	complemented
53	C₂×#13094003	C₂²	1	2	yes	complemented
54	C₂×#13094001	C₂²	1	4	yes	complemented
55	C₂×#13094001	C₂²	1	4	yes	complemented
56	C₂×#13093998	C₂²	1	2	yes	complemented
57	C₂×#13093996	C₂²	1	4	yes	complemented
58	C₂×#13093996	C₂²	1	4	yes	complemented
59	C₂×#13093996	C₂²	1	4	yes	complemented
60	C₂×#13093995	C₂²	1	2	yes	complemented
61	C₂×#13093995	C₂²	1	2	yes	complemented
62	C₂×#13093995	C₂²	1	2	yes	complemented
63	C₂×#13093993	C₂²	1	4	yes	complemented
64	C₂×#13093992	C₂²	1	4	yes	complemented
65	C₄×#10625352	C₂²	1	16	yes	complemented
66	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13093989	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
69	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic
70	C₂×D₄×Dic₄₇	C₂²	1	2	yes	—
71	C₂×D₄×Dic₄₇	C₂²	1	4	yes	complemented
72	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
73	C₂×D₄×Dic₄₇	C₂²	1	4	yes	complemented
74	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
75	C₂×D₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
76	C₂×D₄×Dic₄₇	C₂²	1	2	yes	complemented
77	C₂×D₄×Dic₄₇	C₂²	1	32	yes	complemented
78	C₂×#13093986	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
80	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
81	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
82	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
83	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	complemented
84	C₄×D₄×D₄₇	C₂²	1	16	yes	complemented
85	C₂×#13093982	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13093980	C₂²	1	2	yes	complemented
87	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
88	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
89	C₂²×C₂²⋊Dic₄₇	C₂²	1	4	yes	complemented
90	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
91	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	complemented
92	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic, complemented
93	C₂³×D₄×C₄₇	C₂²	1	2	yes	—
94	C₂³×D₄×C₄₇	C₂²	1	2	yes	complemented
95	D₄²×C₄₇	C₂²	1	16	yes	complemented
96	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic, complemented
97	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
98	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
99	C₂×#120×C₄₇	C₂²	1	4	yes	complemented
100	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
101	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
102	C₂⁴×D₄₇	C₂³	1	2	yes	—
103	C₂×#10625352	—	2	16	no	—
104	C₂×#10625352	—	2	32	no	—
105	C₂×#10625352	—	2	32	no	—
106	C₂×#10625352	—	2	256	no	—
107	C₂×#10625352	—	2	16	no	—
108	C₂×#10625352	—	2	16	no	—
109	C₂×#10625352	D₄	1	16	yes	direct product factor
110	C₂×#10625352	C₂³	1	8	yes	—
111	C₂×#10625352	C₂³	1	32	yes	complemented
112	C₂×#10625352	C₂³	1	16	yes	complemented
113	C₂×#10625352	C₂³	1	16	yes	complemented
114	C₂×#10625352	C₂³	1	32	yes	complemented
115	C₂×#10625352	C₂³	1	16	yes	complemented
116	C₂²×Dic₉₄	—	2	16	no	—
117	C₂²×Dic₉₄	C₂³	1	4	yes	—
118	C₂²×Dic₉₄	C₂³	1	2	yes	—
119	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
120	C₂²×Dic₉₄	C₂³	1	16	yes	complemented
121	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
122	C₂²×C₂²⋊D₄₇	—	2	32	no	—
123	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
124	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
125	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
126	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
127	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
128	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
129	C₂²×C₂²⋊D₄₇	C₂³	1	32	yes	complemented
130	C₂×D₄×D₄₇	—	2	8	no	—
131	C₂×D₄×D₄₇	C₂³	1	8	yes	—
132	C₂³×Dic₄₇	—	2	32	no	—
133	C₂³×Dic₄₇	C₂³	1	4	yes	—
134	C₂³×Dic₄₇	C₂³	1	2	yes	—
135	C₂³×Dic₄₇	C₂³	1	4	yes	—
136	C₂³×Dic₄₇	C₂³	1	4	yes	—
137	C₂³×Dic₄₇	C₂³	1	4	yes	—
138	C₂³×Dic₄₇	C₂³	1	2	yes	—
139	C₂³×Dic₄₇	C₂³	1	2	yes	—
140	C₂³×Dic₄₇	C₂³	1	32	yes	complemented
141	C₂²×C₄×D₄₇	—	2	16	no	—
142	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
143	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
144	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
145	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
147	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
148	C₂²×C₄×D₄₇	C₂³	1	16	yes	complemented
149	#13094024	C₂³	1	8	yes	complemented
150	#13094023	C₂³	1	16	yes	complemented
151	#13094020	C₂³	1	16	yes	complemented
152	#13094011	C₂³	1	16	yes	complemented
153	#13094010	C₂³	1	32	yes	complemented
154	#13094008	C₂³	1	32	yes	complemented
155	#13094006	C₂³	1	32	yes	complemented
156	#13094005	C₂³	1	32	yes	complemented
157	#13094004	C₂³	1	16	yes	complemented
158	#13094003	C₂³	1	16	yes	complemented
159	#13094001	C₂³	1	32	yes	complemented
160	#13094001	C₂³	1	32	yes	complemented
161	#13093998	C₂³	1	16	yes	complemented
162	#13093996	C₂³	1	32	yes	complemented
163	#13093996	C₂³	1	32	yes	complemented
164	#13093996	C₂³	1	32	yes	complemented
165	#13093995	C₂³	1	16	yes	complemented
166	#13093995	C₂³	1	16	yes	complemented
167	#13093995	C₂³	1	16	yes	complemented
168	#13093993	C₂³	1	32	yes	complemented
169	#13093992	C₂³	1	32	yes	complemented
170	C₄×Dic₉₄	C₂³	1	8	yes	complemented
171	#13093989	C₂³	1	8	yes	complemented
172	C₄×D₁₈₈	C₂³	1	8	yes	complemented
173	D₄×Dic₄₇	C₂³	1	16	yes	—
174	D₄×Dic₄₇	C₂³	1	8	yes	—
175	D₄×Dic₄₇	C₂³	1	32	yes	complemented
176	D₄×Dic₄₇	C₂³	1	8	yes	complemented
177	D₄×Dic₄₇	C₂³	1	16	yes	complemented
178	D₄×Dic₄₇	C₂³	1	32	yes	complemented
179	D₄×Dic₄₇	C₂³	1	16	yes	complemented
180	D₄×Dic₄₇	C₂³	1	16	yes	complemented
181	#13093986	C₂³	1	8	yes	complemented
182	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
183	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
184	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
185	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
186	(C₂²⋊D₄₇)⋊C₄	C₂³	1	32	yes	complemented
187	#13093982	C₂³	1	8	yes	complemented
188	#13093980	C₂³	1	16	yes	complemented
189	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
191	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
192	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
194	C₂×C₄⋊Dic₄₇	C₂³	1	16	yes	complemented
195	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
196	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
197	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
198	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
199	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
200	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
201	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
202	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
203	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
204	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
205	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
206	C₂×C₂²⋊Dic₄₇	C₂³	1	32	yes	complemented
207	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
208	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
209	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
210	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
211	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
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×C₄×Dic₄₇	C₂³	1	2	yes	—
216	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
217	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
218	C₂×C₄×Dic₄₇	C₂³	1	16	yes	complemented
219	C₄²×D₄₇	C₂³	1	8	yes	complemented
220	C₂⁵×C₄₇	C₂³	1	4	yes	—
221	C₂²×D₄×C₄₇	—	2	16	no	—
222	C₂²×D₄×C₄₇	—	2	16	no	—
223	C₂²×D₄×C₄₇	C₂³	1	16	yes	—
224	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
225	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
226	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
227	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
228	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
229	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
231	C₂²×D₄×C₄₇	C₂³	1	16	yes	complemented
232	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
233	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
234	#127×C₄₇	C₂³	1	8	yes	complemented
235	#121×C₄₇	C₂³	1	16	yes	complemented
236	#121×C₄₇	C₂³	1	16	yes	complemented
237	#120×C₄₇	C₂³	1	32	yes	complemented
238	C₄×D₄×C₄₇	C₂³	1	8	yes	—
239	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
240	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
243	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
244	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
245	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
246	C₂⁴×C₄₇	—	2	16	no	—
247	C₂⁴×C₄₇	—	2	16	no	—
248	C₂⁴×C₄₇	—	4	8	no	—
249	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
250	C₂⁴×C₄₇	C₂⁴	1	16	yes	—
251	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
252	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
253	C₂³×D₄₇	—	2	8	no	—
254	C₂³×D₄₇	—	2	8	no	—
255	C₂³×D₄₇	—	4	4	no	—
256	C₂³×D₄₇	C₂⁴	1	2	yes	—
257	C₂³×D₄₇	C₂⁴	1	8	yes	—
258	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
259	C₂×D₄×C₄₇	—	2	16	no	—
260	C₂×D₄×C₄₇	—	2	16	no	—
261	C₂×D₄×C₄₇	—	2	64	no	—
262	C₂×D₄×C₄₇	—	2	64	no	—
263	C₂×D₄×C₄₇	—	2	8	no	—
264	C₂×D₄×C₄₇	—	2	8	no	—
265	C₂×D₄×C₄₇	—	4	4	no	—
266	C₂×D₄×C₄₇	C₂×D₄	1	8	yes	complemented
267	C₂×D₄×C₄₇	#41	1	8	yes	complemented
268	C₂×D₄×C₄₇	C₂⁴	1	16	yes	—
269	C₂×D₄×C₄₇	C₂⁴	1	16	yes	—
270	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
271	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
272	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
273	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
274	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
275	C₂²×C₄×C₄₇	—	2	8	no	—
276	C₂²×C₄×C₄₇	—	2	8	no	—
277	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
281	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
282	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
284	C₂×C₂²⋊D₄₇	—	2	16	no	—
285	C₂×C₂²⋊D₄₇	—	2	8	no	—
286	C₂×C₂²⋊D₄₇	—	2	16	no	—
287	C₂×C₂²⋊D₄₇	—	2	128	no	—
288	C₂×C₂²⋊D₄₇	—	2	16	no	—
289	C₂×C₂²⋊D₄₇	—	4	8	no	—
290	C₂×C₂²⋊D₄₇	C₂×D₄	1	16	yes	complemented
291	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
292	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
293	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
294	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
295	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
296	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
297	C₂²×Dic₄₇	—	2	16	no	—
298	C₂²×Dic₄₇	—	2	8	no	—
299	C₂²×Dic₄₇	—	2	16	no	—
300	C₂²×Dic₄₇	—	2	16	no	—
301	C₂²×Dic₄₇	—	2	16	no	—
302	C₂²×Dic₄₇	—	2	128	no	—
303	C₂²×Dic₄₇	—	4	4	no	—
304	C₂²×Dic₄₇	C₂×D₄	1	16	yes	complemented
305	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
306	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
307	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
308	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
309	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
310	C₂²×Dic₄₇	C₂⁴	1	16	yes	—
311	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
312	C₂²×Dic₄₇	C₂⁴	1	16	yes	—
313	C₂²×Dic₄₇	C₂⁴	1	16	yes	—
314	C₂²×Dic₄₇	C₂⁴	1	16	yes	—
315	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
316	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
317	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
318	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
319	#10625352	—	2	64	no	—
320	#10625352	—	2	128	no	—
321	#10625352	—	2	128	no	—
322	#10625352	—	2	64	no	—
323	#10625352	—	2	64	no	—
324	#10625352	C₂×D₄	1	64	yes	direct product factor
325	D₄×D₄₇	—	2	32	no	—
326	C₂×D₁₈₈	—	2	4	no	—
327	C₂×D₁₈₈	C₂⁴	1	4	yes	—
328	C₂×C₄×D₄₇	—	2	8	no	—
329	C₂×C₄×D₄₇	—	2	8	no	—
330	C₂×C₄×D₄₇	—	2	4	no	—
331	C₂×C₄×D₄₇	—	2	8	no	—
332	C₂×C₄×D₄₇	—	2	64	no	—
333	C₂×C₄×D₄₇	—	4	2	no	—
334	C₂×C₄×D₄₇	C₂×D₄	1	8	yes	complemented
335	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
336	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
337	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
338	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
339	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
340	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
341	C₂×Dic₉₄	—	2	8	no	—
342	C₂×Dic₉₄	—	2	16	no	—
343	C₂×Dic₉₄	—	2	64	no	—
344	C₂×Dic₉₄	C₂×D₄	1	8	yes	complemented
345	C₂×Dic₉₄	C₂⁴	1	16	yes	—
346	C₂×Dic₉₄	C₂⁴	1	8	yes	—
347	C₂×Dic₉₄	C₂⁴	1	4	yes	—
348	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
349	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
350	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
351	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
352	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
353	C₄²×C₄₇	C₂⁴	1	4	yes	—
354	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
355	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
356	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
357	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
358	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
359	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
360	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
361	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
362	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
363	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
364	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
365	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
366	C₄⋊Dic₄₇	C₂⁴	1	16	yes	—
367	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
368	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
369	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
370	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
371	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
372	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
373	C₄×Dic₄₇	C₂⁴	1	4	yes	—
374	C₄×Dic₄₇	C₂⁴	1	4	yes	—
375	C₄×Dic₄₇	C₂⁴	1	4	yes	—
376	C₄×Dic₄₇	C₂⁴	1	8	yes	—
377	C₄×Dic₄₇	C₂⁴	1	8	yes	—
378	C₄×Dic₄₇	C₂⁴	1	8	yes	—
379	C₂³×C₄₇	—	2	4	no	—
380	C₂³×C₄₇	—	2	4	no	—
381	C₂³×C₄₇	—	2	4	no	—
382	C₂³×C₄₇	—	2	4	no	—
383	C₂³×C₄₇	—	2	32	no	—
384	C₂³×C₄₇	—	2	8	no	—
385	C₂³×C₄₇	—	2	8	no	—
386	C₂³×C₄₇	—	2	32	no	—
387	C₂³×C₄₇	—	2	8	no	—
388	C₂³×C₄₇	—	4	16	no	—
389	C₂³×C₄₇	—	4	64	no	—
390	C₂³×C₄₇	C₂²×D₄	1	8	yes	—
391	C₂³×C₄₇	C₂×#41	1	8	yes	complemented
392	C₂³×C₄₇	C₂⁵	1	8	yes	—
393	C₂³×C₄₇	C₂⁵	1	4	yes	—
394	C₂³×C₄₇	C₂⁵	1	4	yes	—
395	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
396	C₂²×D₄₇	—	2	2	no	—
397	C₂²×D₄₇	—	2	2	no	—
398	C₂²×D₄₇	—	2	4	no	—
399	C₂²×D₄₇	—	2	4	no	—
400	C₂²×D₄₇	—	2	16	no	—
401	C₂²×D₄₇	—	2	4	no	—
402	C₂²×D₄₇	—	2	16	no	—
403	C₂²×D₄₇	—	4	8	no	—
404	C₂²×D₄₇	—	4	32	no	—
405	C₂²×D₄₇	C₂²×D₄	1	4	yes	—
406	C₂²×D₄₇	C₂⁵	1	4	yes	—
407	C₂²×D₄₇	C₂⁵	1	2	yes	—
408	D₄×C₄₇	—	2	32	no	—
409	D₄×C₄₇	—	2	32	no	—
410	D₄×C₄₇	—	2	16	no	—
411	D₄×C₄₇	—	2	16	no	—
412	D₄×C₄₇	—	4	8	no	—
413	D₄×C₄₇	C₂²×D₄	1	16	yes	complemented
414	D₄×C₄₇	C₂×#41	1	16	yes	complemented
415	C₂×C₄×C₄₇	—	2	4	no	—
416	C₂×C₄×C₄₇	—	2	4	no	—
417	C₂×C₄×C₄₇	—	2	2	no	—
418	C₂×C₄×C₄₇	—	2	16	no	—
419	C₂×C₄×C₄₇	—	2	16	no	—
420	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
421	C₂×C₄×C₄₇	C₂×#41	1	4	yes	complemented
422	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
423	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
424	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
425	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
426	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
427	C₂²⋊D₄₇	—	2	32	no	—
428	C₂²⋊D₄₇	—	2	16	no	—
429	C₂²⋊D₄₇	—	2	32	no	—
430	C₂²⋊D₄₇	—	2	32	no	—
431	C₂²⋊D₄₇	—	4	16	no	—
432	C₂²⋊D₄₇	C₂²×D₄	1	32	yes	complemented
433	C₂×Dic₄₇	—	2	8	no	—
434	C₂×Dic₄₇	—	2	4	no	—
435	C₂×Dic₄₇	—	2	32	no	—
436	C₂×Dic₄₇	—	2	2	no	—
437	C₂×Dic₄₇	—	2	2	no	—
438	C₂×Dic₄₇	—	2	4	no	—
439	C₂×Dic₄₇	—	2	32	no	—
440	C₂×Dic₄₇	—	2	16	no	—
441	C₂×Dic₄₇	—	2	32	no	—
442	C₂×Dic₄₇	—	2	32	no	—
443	C₂×Dic₄₇	—	4	8	no	—
444	C₂×Dic₄₇	C₂²×D₄	1	8	yes	—
445	C₂×Dic₄₇	C₂²×D₄	1	4	yes	—
446	C₂×Dic₄₇	C₂²×D₄	1	32	yes	complemented
447	C₂×Dic₄₇	C₂⁵	1	2	yes	—
448	C₂×Dic₄₇	C₂⁵	1	2	yes	—
449	C₂×Dic₄₇	C₂⁵	1	4	yes	—
450	C₂×Dic₄₇	C₂⁵	1	8	yes	—
451	C₂×Dic₄₇	C₂⁵	1	4	yes	—
452	C₂×Dic₄₇	C₂⁵	1	2	yes	—
453	C₂×Dic₄₇	C₂⁵	1	4	yes	—
454	D₁₈₈	—	2	8	no	—
455	C₄×D₄₇	—	2	16	no	—
456	C₄×D₄₇	—	2	16	no	—
457	C₄×D₄₇	—	2	8	no	—
458	C₄×D₄₇	—	2	16	no	—
459	C₄×D₄₇	—	4	4	no	—
460	C₄×D₄₇	C₂²×D₄	1	16	yes	complemented
461	Dic₉₄	—	2	16	no	—
462	Dic₉₄	—	2	32	no	—
463	Dic₉₄	C₂²×D₄	1	16	yes	complemented
464	C₂×D₄×#41	—	47	1	no	maximal, Sylow
465	C₂²×C₄₇	—	2	4	no	—
466	C₂²×C₄₇	—	2	4	no	—
467	C₂²×C₄₇	—	2	4	no	—
468	C₂²×C₄₇	—	2	4	no	—
469	C₂²×C₄₇	—	2	16	no	—
470	C₂²×C₄₇	—	2	16	no	—
471	C₂²×C₄₇	—	2	8	no	—
472	C₂²×C₄₇	—	2	8	no	—
473	C₂²×C₄₇	—	2	8	no	—
474	C₂²×C₄₇	—	4	64	no	—
475	C₂²×C₄₇	—	4	16	no	—
476	C₂²×C₄₇	C₂³×D₄	1	8	yes	—
477	C₂²×C₄₇	C₂³×D₄	1	2	yes	—
478	C₂²×C₄₇	C₂²×#41	1	2	yes	—
479	C₂²×C₄₇	C₂²×#41	1	8	yes	complemented
480	C₂²×C₄₇	#585	1	2	yes	—
481	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
482	C₂×D₄₇	—	2	2	no	—
483	C₂×D₄₇	—	2	2	no	—
484	C₂×D₄₇	—	2	8	no	—
485	C₂×D₄₇	—	2	4	no	—
486	C₂×D₄₇	—	2	4	no	—
487	C₂×D₄₇	—	2	4	no	—
488	C₂×D₄₇	—	4	32	no	—
489	C₂×D₄₇	—	4	8	no	—
490	C₂×D₄₇	C₂³×D₄	1	4	yes	—
491	C₄×C₄₇	—	2	4	no	—
492	C₄×C₄₇	—	2	4	no	—
493	C₄×C₄₇	—	2	2	no	—
494	C₄×C₄₇	C₂³×D₄	1	4	yes	—
495	C₄×C₄₇	C₂²×#41	1	4	yes	complemented
496	Dic₄₇	—	2	8	no	—
497	Dic₄₇	—	2	4	no	—
498	Dic₄₇	—	2	2	no	—
499	Dic₄₇	—	2	2	no	—
500	Dic₄₇	—	2	4	no	—
501	Dic₄₇	C₂³×D₄	1	8	yes	—
502	Dic₄₇	C₂³×D₄	1	4	yes	—
503	C₂³×#41	—	47	2	no	—
504	D₄×#41	—	47	32	no	—
505	C₂×#550	—	47	1	no	—
506	C₂×D₄×Q₈	—	47	1	no	—
507	C₂×#548	—	47	2	no	—
508	C₂×#547	—	47	2	no	—
509	C₂×#547	—	47	1	no	—
510	C₂×#546	—	47	2	no	—
511	C₂×#546	—	47	4	no	—
512	C₂×D₄²	—	47	2	no	—
513	C₂×D₄²	D₄₇	1	1	yes	characteristic, complemented
514	C₂×#532	—	47	1	no	—
515	C₂×#532	—	47	2	no	—
516	C₂×#525	—	47	2	no	—
517	C₂×#525	—	47	4	no	—
518	C₂×C₄×#41	—	47	1	no	—
519	C₂²×C₄×D₄	—	47	2	no	—
520	C₂²×C₄×D₄	—	47	1	no	—
521	C₂×C₄₇	—	2	8	no	—
522	C₂×C₄₇	—	2	8	no	—
523	C₂×C₄₇	—	4	8	no	—
524	C₂×C₄₇	D₄×#41	1	4	yes	complemented
525	C₂×C₄₇	C₂⁴×D₄	1	1	yes	characteristic
526	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
527	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
528	D₄₇	—	2	4	no	—
529	D₄₇	—	4	4	no	—
530	C₂²×#41	—	47	1	no	—
531	C₂²×#41	—	47	4	no	—
532	C₂²×#41	—	47	2	no	—
533	C₂²×#41	—	47	2	no	—
534	C₂²×#41	—	47	4	no	—
535	C₂²×#41	—	47	2	no	—
536	C₂²×#41	—	47	32	no	—
537	C₂²×#41	—	94	32	no	—
538	C₂³×Q₈	—	47	2	no	—
539	C₂³×D₄	—	47	4	no	—
540	C₂³×D₄	—	47	1	no	—
541	C₂³×D₄	C₂×D₄₇	1	2	yes	—
542	C₂³×D₄	C₂×D₄₇	1	2	yes	complemented
543	C₂⁴×C₄	—	47	4	no	—
544	C₂⁴×C₄	—	47	2	no	—
545	#550	—	47	16	no	—
546	D₄×Q₈	—	47	16	no	—
547	#548	—	47	32	no	—
548	#547	—	47	32	no	—
549	#547	—	47	16	no	—
550	#546	—	47	32	no	—
551	#546	—	47	64	no	—
552	D₄²	—	47	32	no	—
553	D₄²	C₂×D₄₇	1	16	yes	complemented
554	#532	—	47	16	no	—
555	#532	—	47	32	no	—
556	C₂×C₄⋊Q₈	—	47	2	no	—
557	C₂×C₄⋊Q₈	—	47	1	no	—
558	C₂×#127	—	47	2	no	—
559	C₂×#127	C₂×D₄₇	1	1	yes	characteristic, complemented
560	C₂×#124	—	47	2	no	—
561	C₂×#124	—	47	4	no	—
562	#525	—	47	32	no	—
563	#525	—	47	64	no	—
564	C₂×#123	—	47	4	no	—
565	C₂×#123	—	47	4	no	—
566	C₂×#123	—	47	4	no	—
567	C₂×C₂²⋊Q₈	—	47	2	no	—
568	C₂×C₂²⋊Q₈	—	47	2	no	—
569	C₂×C₂²⋊Q₈	—	47	4	no	—
570	C₂×C₂²⋊Q₈	—	47	4	no	—
571	C₂×#121	—	47	4	no	—
572	C₂×#121	—	47	2	no	—
573	C₂×#121	—	47	4	no	—
574	C₂×#121	—	47	2	no	—
575	C₂×#121	—	47	2	no	—
576	C₂×#121	—	47	4	no	—
577	C₂×#121	—	47	2	no	—
578	C₂×#121	C₂×D₄₇	1	2	yes	complemented
579	C₂×#121	C₂×D₄₇	1	2	yes	complemented
580	C₂×#120	—	47	4	no	—
581	C₂×#120	—	47	4	no	—
582	C₂×#120	C₂×D₄₇	1	4	yes	complemented
583	C₄×#41	—	47	16	no	—
584	C₂×C₄×Q₈	—	47	1	no	—
585	C₂×C₄×Q₈	—	47	1	no	—
586	C₂×C₄×D₄	—	47	1	no	—
587	C₂×C₄×D₄	—	47	4	no	—
588	C₂×C₄×D₄	—	47	2	no	—
589	C₂×C₄×D₄	—	47	2	no	—
590	C₂×C₄×D₄	—	47	4	no	—
591	C₂×C₄×D₄	—	47	2	no	—
592	C₂×C₄×D₄	—	47	32	no	—
593	C₂×C₄×D₄	—	47	1	no	—
594	C₂×C₄×D₄	—	47	2	no	—
595	C₂×C₄×D₄	—	47	2	no	—
596	C₂×C₄×D₄	—	47	2	no	—
597	C₂×C₄×D₄	—	47	16	no	—
598	C₂×C₄×D₄	—	47	1	no	—
599	C₂×C₄×D₄	—	47	2	no	—
600	C₂×C₄×D₄	—	47	2	no	—
601	C₂×C₄×D₄	—	47	4	no	—
602	C₂×C₄×D₄	—	47	1	no	—
603	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
604	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
605	C₂×#117	—	47	1	no	—
606	C₂×#117	—	47	2	no	—
607	C₂²×C₄⋊C₄	—	47	2	no	—
608	C₂²×C₄⋊C₄	—	47	1	no	—
609	C₂²×C₂²⋊C₄	—	47	4	no	—
610	C₂²×C₂²⋊C₄	—	47	2	no	—
611	C₂²×C₄²	—	47	2	no	—
612	C₂²×C₄²	—	47	1	no	—
613	C₄₇	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
614	C₂⁵	—	47	2	no	—
615	C₂⁵	C₂²×D₄₇	1	4	yes	—
616	C₂×#41	—	47	16	no	—
617	C₂×#41	—	47	8	no	—
618	C₂×#41	—	47	32	no	—
619	C₂×#41	—	47	16	no	—
620	C₂×#41	—	47	16	no	—
621	C₂×#41	—	47	32	no	—
622	C₂×#41	—	47	16	no	—
623	C₂×#41	—	94	32	no	—
624	C₂×#41	—	94	16	no	—
625	C₂×#41	—	94	32	no	—
626	C₂×#41	—	94	16	no	—
627	C₂×#41	—	94	256	no	—
628	C₂×#41	—	94	16	no	—
629	C₂²×Q₈	—	47	1	no	—
630	C₂²×Q₈	—	47	4	no	—
631	C₂²×Q₈	—	47	2	no	—
632	C₂²×Q₈	—	47	16	no	—
633	C₂²×Q₈	—	94	16	no	—
634	C₂²×D₄	—	2	16	no	—
635	C₂²×D₄	—	2	16	no	—
636	C₂²×D₄	—	47	2	no	—
637	C₂²×D₄	—	47	2	no	—
638	C₂²×D₄	—	47	4	no	—
639	C₂²×D₄	—	47	4	no	—
640	C₂²×D₄	—	47	4	no	—
641	C₂²×D₄	—	47	32	no	—
642	C₂²×D₄	—	47	4	no	—
643	C₂²×D₄	—	47	8	no	—
644	C₂²×D₄	—	47	1	no	—
645	C₂²×D₄	—	94	32	no	—
646	C₂²×D₄	—	94	8	no	—
647	C₂²×D₄	C₂²×D₄₇	1	4	yes	—
648	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
649	C₂²×D₄	C₂²×D₄₇	1	16	yes	—
650	C₂²×D₄	C₂²×D₄₇	1	4	yes	—
651	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
652	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
653	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
654	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
655	C₂²×D₄	C₂²×D₄₇	1	16	yes	complemented
656	C₂³×C₄	—	47	2	no	—
657	C₂³×C₄	—	47	1	no	—
658	C₂³×C₄	—	47	4	no	—
659	C₂³×C₄	—	47	2	no	—
660	C₂³×C₄	—	47	4	no	—
661	C₂³×C₄	—	47	4	no	—
662	C₂³×C₄	—	47	4	no	—
663	C₂³×C₄	—	47	32	no	—
664	C₂³×C₄	—	47	2	no	—
665	C₂³×C₄	—	47	2	no	—
666	C₂³×C₄	—	47	1	no	—
667	C₂³×C₄	—	47	2	no	—
668	C₂³×C₄	—	47	2	no	—
669	C₂³×C₄	—	47	16	no	—
670	C₂³×C₄	—	47	1	no	—
671	C₂³×C₄	—	94	16	no	—
672	C₂³×C₄	—	94	32	no	—
673	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
674	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
675	C₄⋊Q₈	—	47	16	no	—
676	C₄⋊Q₈	—	47	8	no	—
677	#127	—	47	16	no	—
678	#127	C₂²×D₄₇	1	8	yes	complemented
679	#124	—	47	16	no	—
680	#124	—	47	32	no	—
681	#123	—	47	32	no	—
682	#123	—	47	32	no	—
683	#123	—	47	32	no	—
684	C₂²⋊Q₈	—	47	16	no	—
685	C₂²⋊Q₈	—	47	16	no	—
686	C₂²⋊Q₈	—	47	32	no	—
687	C₂²⋊Q₈	—	47	32	no	—
688	#121	—	47	32	no	—
689	#121	—	47	16	no	—
690	#121	—	47	32	no	—
691	#121	—	47	16	no	—
692	#121	—	47	16	no	—
693	#121	—	47	32	no	—
694	#121	—	47	16	no	—
695	#121	C₂²×D₄₇	1	16	yes	complemented
696	#121	C₂²×D₄₇	1	16	yes	complemented
697	#120	—	47	32	no	—
698	#120	—	47	32	no	—
699	#120	C₂²×D₄₇	1	32	yes	complemented
700	C₄×Q₈	—	47	8	no	—
701	C₄×Q₈	—	47	8	no	—
702	C₄×D₄	—	47	8	no	—
703	C₄×D₄	—	47	32	no	—
704	C₄×D₄	—	47	16	no	—
705	C₄×D₄	—	47	16	no	—
706	C₄×D₄	—	47	32	no	—
707	C₄×D₄	—	47	16	no	—
708	C₄×D₄	—	47	8	no	—
709	C₄×D₄	—	47	16	no	—
710	C₄×D₄	—	47	16	no	—
711	C₄×D₄	—	47	16	no	—
712	C₄×D₄	—	47	8	no	—
713	C₄×D₄	—	47	16	no	—
714	C₄×D₄	—	47	16	no	—
715	C₄×D₄	—	47	32	no	—
716	C₄×D₄	—	47	8	no	—
717	C₄×D₄	C₂²×D₄₇	1	8	yes	—
718	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
719	#117	—	47	8	no	—
720	#117	—	47	16	no	—
721	C₂×C₄⋊C₄	—	47	1	no	—
722	C₂×C₄⋊C₄	—	47	2	no	—
723	C₂×C₄⋊C₄	—	47	2	no	—
724	C₂×C₄⋊C₄	—	47	4	no	—
725	C₂×C₄⋊C₄	—	47	16	no	—
726	C₂×C₄⋊C₄	—	47	2	no	—
727	C₂×C₄⋊C₄	—	47	2	no	—
728	C₂×C₄⋊C₄	—	47	1	no	—
729	C₂×C₄⋊C₄	—	47	4	no	—
730	C₂×C₄⋊C₄	—	47	2	no	—
731	C₂×C₄⋊C₄	—	47	8	no	—
732	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	—	47	2	no	—
735	C₂×C₂²⋊C₄	—	47	4	no	—
736	C₂×C₂²⋊C₄	—	47	4	no	—
737	C₂×C₂²⋊C₄	—	47	4	no	—
738	C₂×C₂²⋊C₄	—	47	32	no	—
739	C₂×C₂²⋊C₄	—	47	2	no	—
740	C₂×C₂²⋊C₄	—	47	4	no	—
741	C₂×C₂²⋊C₄	—	47	2	no	—
742	C₂×C₂²⋊C₄	—	47	2	no	—
743	C₂×C₂²⋊C₄	—	47	2	no	—
744	C₂×C₂²⋊C₄	—	47	4	no	—
745	C₂×C₂²⋊C₄	—	47	16	no	—
746	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
749	C₂×C₄²	—	47	2	no	—
750	C₂×C₄²	—	47	1	no	—
751	C₂×C₄²	—	47	1	no	—
752	C₂×C₄²	—	47	2	no	—
753	C₂×C₄²	—	47	1	no	—
754	C₂×C₄²	—	47	2	no	—
755	C₂×C₄²	—	47	16	no	—
756	C₂×C₄²	—	47	8	no	—
757	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
758	C₂⁴	—	2	16	no	—
759	C₂⁴	—	2	16	no	—
760	C₂⁴	—	4	8	no	—
761	C₂⁴	—	47	1	no	—
762	C₂⁴	—	47	2	no	—
763	C₂⁴	—	47	8	no	—
764	C₂⁴	—	94	8	no	—
765	C₂⁴	—	94	8	no	—
766	C₂⁴	—	188	4	no	—
767	C₂⁴	C₂³×D₄₇	1	4	yes	—
768	C₂⁴	C₂³×D₄₇	1	16	yes	—
769	C₂⁴	C₂³×D₄₇	1	2	yes	—
770	C₂⁴	C₂³×D₄₇	1	2	yes	—
771	#41	—	47	64	no	—
772	#41	—	94	128	no	—
773	#41	—	94	64	no	—
774	#41	—	94	128	no	—
775	#41	—	94	64	no	—
776	#41	—	94	64	no	—
777	C₂×Q₈	—	47	8	no	—
778	C₂×Q₈	—	47	4	no	—
779	C₂×Q₈	—	47	16	no	—
780	C₂×Q₈	—	47	8	no	—
781	C₂×Q₈	—	94	16	no	—
782	C₂×Q₈	—	94	64	no	—
783	C₂×Q₈	—	94	8	no	—
784	C₂×D₄	—	2	16	no	—
785	C₂×D₄	—	2	16	no	—
786	C₂×D₄	—	2	64	no	—
787	C₂×D₄	—	2	64	no	—
788	C₂×D₄	—	2	8	no	—
789	C₂×D₄	—	2	8	no	—
790	C₂×D₄	—	4	4	no	—
791	C₂×D₄	—	47	16	no	—
792	C₂×D₄	—	47	8	no	—
793	C₂×D₄	—	47	8	no	—
794	C₂×D₄	—	47	16	no	—
795	C₂×D₄	—	47	16	no	—
796	C₂×D₄	—	47	16	no	—
797	C₂×D₄	—	47	16	no	—
798	C₂×D₄	—	47	4	no	—
799	C₂×D₄	—	94	16	no	—
800	C₂×D₄	—	94	128	no	—
801	C₂×D₄	—	94	16	no	—
802	C₂×D₄	—	94	16	no	—
803	C₂×D₄	—	94	8	no	—
804	C₂×D₄	—	94	32	no	—
805	C₂×D₄	—	94	4	no	—
806	C₂×D₄	—	188	8	no	—
807	C₂×D₄	D₄×D₄₇	1	8	yes	complemented
808	C₂×D₄	#10625352	1	8	yes	direct product factor
809	C₂×D₄	C₂³×D₄₇	1	16	yes	—
810	C₂×D₄	C₂³×D₄₇	1	8	yes	—
811	C₂×D₄	C₂³×D₄₇	1	16	yes	—
812	C₂×D₄	C₂³×D₄₇	1	8	yes	—
813	C₂×D₄	C₂³×D₄₇	1	8	yes	—
814	C₂×D₄	C₂³×D₄₇	1	4	yes	—
815	C₂×D₄	C₂³×D₄₇	1	4	yes	—
816	C₂²×C₄	—	2	8	no	—
817	C₂²×C₄	—	2	8	no	—
818	C₂²×C₄	—	47	16	no	—
819	C₂²×C₄	—	47	8	no	—
820	C₂²×C₄	—	47	1	no	—
821	C₂²×C₄	—	47	2	no	—
822	C₂²×C₄	—	47	8	no	—
823	C₂²×C₄	—	47	4	no	—
824	C₂²×C₄	—	47	16	no	—
825	C₂²×C₄	—	47	8	no	—
826	C₂²×C₄	—	47	16	no	—
827	C₂²×C₄	—	47	16	no	—
828	C₂²×C₄	—	47	16	no	—
829	C₂²×C₄	—	47	1	no	—
830	C₂²×C₄	—	47	1	no	—
831	C₂²×C₄	—	47	2	no	—
832	C₂²×C₄	—	47	2	no	—
833	C₂²×C₄	—	47	4	no	—
834	C₂²×C₄	—	47	8	no	—
835	C₂²×C₄	—	47	4	no	—
836	C₂²×C₄	—	47	8	no	—
837	C₂²×C₄	—	47	8	no	—
838	C₂²×C₄	—	47	8	no	—
839	C₂²×C₄	—	47	4	no	—
840	C₂²×C₄	—	94	8	no	—
841	C₂²×C₄	—	94	64	no	—
842	C₂²×C₄	—	94	8	no	—
843	C₂²×C₄	—	94	8	no	—
844	C₂²×C₄	—	94	16	no	—
845	C₂²×C₄	—	94	16	no	—
846	C₂²×C₄	—	94	16	no	—
847	C₂²×C₄	—	94	128	no	—
848	C₂²×C₄	—	94	16	no	—
849	C₂²×C₄	—	94	8	no	—
850	C₂²×C₄	—	94	4	no	—
851	C₂²×C₄	—	188	2	no	—
852	C₂²×C₄	—	188	4	no	—
853	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
854	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
855	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
856	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
857	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
858	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
859	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
860	C₄⋊C₄	—	47	8	no	—
861	C₄⋊C₄	—	47	8	no	—
862	C₄⋊C₄	—	47	8	no	—
863	C₄⋊C₄	—	47	16	no	—
864	C₄⋊C₄	—	47	4	no	—
865	C₄⋊C₄	—	47	8	no	—
866	C₄⋊C₄	—	47	16	no	—
867	C₄⋊C₄	—	47	4	no	—
868	C₄⋊C₄	—	47	8	no	—
869	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
870	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
871	C₂²⋊C₄	—	47	8	no	—
872	C₂²⋊C₄	—	47	16	no	—
873	C₂²⋊C₄	—	47	16	no	—
874	C₂²⋊C₄	—	47	16	no	—
875	C₂²⋊C₄	—	47	8	no	—
876	C₂²⋊C₄	—	47	16	no	—
877	C₂²⋊C₄	—	47	8	no	—
878	C₂²⋊C₄	—	47	8	no	—
879	C₂²⋊C₄	—	47	8	no	—
880	C₂²⋊C₄	—	47	16	no	—
881	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
882	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
883	C₂²⋊C₄	C₂³×D₄₇	1	16	yes	—
884	C₄²	—	47	4	no	—
885	C₄²	—	47	8	no	—
886	C₄²	—	47	4	no	—
887	C₄²	—	47	8	no	—
888	C₄²	—	47	4	no	—
889	C₄²	—	47	8	no	—
890	C₄²	C₂³×D₄₇	1	4	yes	—
891	C₂³	—	2	4	no	—
892	C₂³	—	2	4	no	—
893	C₂³	—	2	4	no	—
894	C₂³	—	2	4	no	—
895	C₂³	—	2	32	no	—
896	C₂³	—	2	8	no	—
897	C₂³	—	2	8	no	—
898	C₂³	—	2	32	no	—
899	C₂³	—	2	8	no	—
900	C₂³	—	4	16	no	—
901	C₂³	—	4	64	no	—
902	C₂³	—	47	4	no	—
903	C₂³	—	47	2	no	—
904	C₂³	—	47	4	no	—
905	C₂³	—	94	16	no	—
906	C₂³	—	94	2	no	—
907	C₂³	—	94	2	no	—
908	C₂³	—	94	4	no	—
909	C₂³	—	94	4	no	—
910	C₂³	—	94	16	no	—
911	C₂³	—	94	4	no	—
912	C₂³	—	188	8	no	—
913	C₂³	—	188	32	no	—
914	C₂³	C₂×D₄×D₄₇	1	8	yes	—
915	C₂³	C₂×#10625352	1	8	yes	complemented
916	C₂³	C₂⁴×D₄₇	1	8	yes	—
917	C₂³	C₂⁴×D₄₇	1	4	yes	—
918	C₂³	C₂⁴×D₄₇	1	4	yes	—
919	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
920	Q₈	—	47	16	no	—
921	Q₈	—	94	32	no	—
922	Q₈	—	94	16	no	—
923	D₄	—	2	32	no	—
924	D₄	—	2	32	no	—
925	D₄	—	2	16	no	—
926	D₄	—	2	16	no	—
927	D₄	—	4	8	no	—
928	D₄	—	47	32	no	—
929	D₄	—	94	32	no	—
930	D₄	—	94	32	no	—
931	D₄	—	94	32	no	—
932	D₄	—	94	16	no	—
933	D₄	—	94	8	no	—
934	D₄	—	188	16	no	—
935	D₄	C₂×D₄×D₄₇	1	16	yes	complemented
936	D₄	C₂×#10625352	1	16	yes	direct product factor
937	C₂×C₄	—	2	4	no	—
938	C₂×C₄	—	2	4	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	16	no	—
941	C₂×C₄	—	2	16	no	—
942	C₂×C₄	—	47	4	no	—
943	C₂×C₄	—	47	8	no	—
944	C₂×C₄	—	47	32	no	—
945	C₂×C₄	—	47	2	no	—
946	C₂×C₄	—	47	4	no	—
947	C₂×C₄	—	47	16	no	—
948	C₂×C₄	—	47	2	no	—
949	C₂×C₄	—	47	2	no	—
950	C₂×C₄	—	47	4	no	—
951	C₂×C₄	—	47	4	no	—
952	C₂×C₄	—	47	8	no	—
953	C₂×C₄	—	94	16	no	—
954	C₂×C₄	—	94	16	no	—
955	C₂×C₄	—	94	16	no	—
956	C₂×C₄	—	94	32	no	—
957	C₂×C₄	—	94	32	no	—
958	C₂×C₄	—	94	32	no	—
959	C₂×C₄	—	94	4	no	—
960	C₂×C₄	—	94	8	no	—
961	C₂×C₄	—	94	32	no	—
962	C₂×C₄	—	94	2	no	—
963	C₂×C₄	—	94	2	no	—
964	C₂×C₄	—	94	4	no	—
965	C₂×C₄	—	94	16	no	—
966	C₂×C₄	—	94	8	no	—
967	C₂×C₄	—	188	4	no	—
968	C₂×C₄	—	188	8	no	—
969	C₂×C₄	C₂×D₄×D₄₇	1	4	yes	—
970	C₂×C₄	C₂×#10625352	1	4	yes	complemented
971	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
972	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
973	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
974	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
975	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
976	C₂²	—	2	16	no	—
977	C₂²	—	2	16	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	4	no	—
980	C₂²	—	2	4	no	—
981	C₂²	—	2	4	no	—
982	C₂²	—	2	8	no	—
983	C₂²	—	2	8	no	—
984	C₂²	—	2	8	no	—
985	C₂²	—	4	64	no	—
986	C₂²	—	4	16	no	—
987	C₂²	—	47	4	no	—
988	C₂²	—	94	8	no	—
989	C₂²	—	94	2	no	—
990	C₂²	—	94	2	no	—
991	C₂²	—	94	4	no	—
992	C₂²	—	94	4	no	—
993	C₂²	—	94	4	no	—
994	C₂²	—	188	32	no	—
995	C₂²	—	188	8	no	—
996	C₂²	C₂²×D₄×D₄₇	1	8	yes	—
997	C₂²	C₂²×D₄×D₄₇	1	2	yes	—
998	C₂²	C₂²×#10625352	1	2	yes	—
999	C₂²	C₂²×#10625352	1	8	yes	complemented
1000	C₂²	#15689958	1	2	yes	—
1001	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1002	C₄	—	2	4	no	—
1003	C₄	—	2	4	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	47	4	no	—
1006	C₄	—	47	8	no	—
1007	C₄	—	94	4	no	—
1008	C₄	—	94	8	no	—
1009	C₄	—	94	2	no	—
1010	C₄	—	94	2	no	—
1011	C₄	—	94	4	no	—
1012	C₄	C₂²×D₄×D₄₇	1	4	yes	—
1013	C₄	C₂²×#10625352	1	4	yes	complemented
1014	C₂	—	2	8	no	—
1015	C₂	—	2	8	no	—
1016	C₂	—	4	8	no	—
1017	C₂	—	94	4	no	—
1018	C₂	—	188	4	no	—
1019	C₂	D₄×#10625352	1	4	yes	direct product factor
1020	C₂	C₂³×D₄×D₄₇	1	1	yes	characteristic
1021	C₂	C₂³×#10625352	1	1	yes	characteristic
1022	C₂	C₂×#15689958	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×D₄²×C₄₇	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂×D₄²	D₄₇
hypocenter	C₄₇	C₂×D₄×#41
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂³×#10625352	C₂	semidirect
2. D₄×#10625352	C₂	direct (N × H)
3. C₂×#15689793	C₂	semidirect
4. C₂×D₄×Dic₉₄	C₂	semidirect
5. C₂×#15689779	C₂	semidirect
6. C₂×#15689777	C₂	semidirect
7. C₂×#15689773	C₂	semidirect
8. C₂×#15689767	C₂	semidirect
9. C₂×#15689760	C₂	semidirect
10. C₂×D₄×C₂²⋊D₄₇	C₂	semidirect
11. C₂×#15689671	C₂	semidirect
12. C₂×#15689668	C₂	semidirect
13. C₂×#15689633	C₂	semidirect
14. C₂×#15689629	C₂	semidirect
15. C₂×C₄×#10625352	C₂	semidirect
16. C₂²×D₄×Dic₄₇	C₂	semidirect
17. C₂×C₄×D₄×D₄₇	C₂	semidirect
18. C₂×D₄²×C₄₇	C₂	semidirect
21. C₂²×#10625352	C₂²	semidirect
22. C₂²×#10625352	C₂²	semidirect
23. C₂²×#10625352	C₂²	semidirect
24. C₂²×#10625352	C₂²	semidirect
25. C₂²×#10625352	C₂²	semidirect
26. C₂²×#10625352	C₂²	semidirect
27. C₂³×Dic₉₄	C₂²	semidirect
28. C₂³×C₂²⋊D₄₇	C₂²	semidirect
30. C₂⁴×Dic₄₇	C₂²	semidirect
31. C₂³×C₄×D₄₇	C₂²	semidirect
32. #15689793	C₂²	semidirect
33. D₄×Dic₉₄	C₂²	semidirect
34. #15689779	C₂²	semidirect
35. #15689777	C₂²	semidirect
36. #15689773	C₂²	semidirect
37. #15689767	C₂²	semidirect
38. #15689760	C₂²	semidirect
39. D₄×C₂²⋊D₄₇	C₂²	semidirect
40. #15689671	C₂²	semidirect
41. #15689668	C₂²	semidirect
42. C₂×#13094024	C₂²	semidirect
43. C₂×#13094023	C₂²	semidirect
44. C₂×#13094020	C₂²	semidirect
45. C₂×#13094011	C₂²	semidirect
46. C₂×#13094010	C₂²	semidirect
47. #15689633	C₂²	semidirect
48. #15689629	C₂²	semidirect
49. C₂×#13094008	C₂²	semidirect
50. C₂×#13094006	C₂²	semidirect
51. C₂×#13094005	C₂²	semidirect
52. C₂×#13094004	C₂²	semidirect
53. C₂×#13094003	C₂²	semidirect
54. C₂×#13094001	C₂²	semidirect
55. C₂×#13094001	C₂²	semidirect
56. C₂×#13093998	C₂²	semidirect
57. C₂×#13093996	C₂²	semidirect
58. C₂×#13093996	C₂²	semidirect
59. C₂×#13093996	C₂²	semidirect
60. C₂×#13093995	C₂²	semidirect
61. C₂×#13093995	C₂²	semidirect
62. C₂×#13093995	C₂²	semidirect
63. C₂×#13093993	C₂²	semidirect
64. C₂×#13093992	C₂²	semidirect
65. C₄×#10625352	C₂²	semidirect
66. C₂×C₄×Dic₉₄	C₂²	semidirect
67. C₂×#13093989	C₂²	semidirect
68. C₂×C₄×D₁₈₈	C₂²	semidirect
71. C₂×D₄×Dic₄₇	C₂²	semidirect
72. C₂×D₄×Dic₄₇	C₂²	semidirect
73. C₂×D₄×Dic₄₇	C₂²	semidirect
74. C₂×D₄×Dic₄₇	C₂²	semidirect
75. C₂×D₄×Dic₄₇	C₂²	semidirect
76. C₂×D₄×Dic₄₇	C₂²	semidirect
77. C₂×D₄×Dic₄₇	C₂²	semidirect
78. C₂×#13093986	C₂²	semidirect
79. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
81. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
82. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
83. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
84. C₄×D₄×D₄₇	C₂²	semidirect
85. C₂×#13093982	C₂²	semidirect
86. C₂×#13093980	C₂²	semidirect
87. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
88. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
89. C₂²×C₂²⋊Dic₄₇	C₂²	semidirect
90. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
91. C₂²×C₄×Dic₄₇	C₂²	semidirect
92. C₂×C₄²×D₄₇	C₂²	semidirect
94. C₂³×D₄×C₄₇	C₂²	semidirect
95. D₄²×C₄₇	C₂²	semidirect
96. C₂×#127×C₄₇	C₂²	semidirect
97. C₂×#121×C₄₇	C₂²	semidirect
98. C₂×#121×C₄₇	C₂²	semidirect
99. C₂×#120×C₄₇	C₂²	semidirect
101. C₂×C₄×D₄×C₄₇	C₂²	semidirect
109. C₂×#10625352	D₄	direct (N × H)
111. C₂×#10625352	C₂³	semidirect
112. C₂×#10625352	C₂³	semidirect
113. C₂×#10625352	C₂³	semidirect
114. C₂×#10625352	C₂³	semidirect
115. C₂×#10625352	C₂³	semidirect
120. C₂²×Dic₉₄	C₂³	semidirect
129. C₂²×C₂²⋊D₄₇	C₂³	semidirect
140. C₂³×Dic₄₇	C₂³	semidirect
148. C₂²×C₄×D₄₇	C₂³	semidirect
149. #13094024	C₂³	semidirect
150. #13094023	C₂³	semidirect
151. #13094020	C₂³	semidirect
152. #13094011	C₂³	semidirect
153. #13094010	C₂³	semidirect
154. #13094008	C₂³	semidirect
155. #13094006	C₂³	semidirect
156. #13094005	C₂³	semidirect
157. #13094004	C₂³	semidirect
158. #13094003	C₂³	semidirect
159. #13094001	C₂³	semidirect
160. #13094001	C₂³	semidirect
161. #13093998	C₂³	semidirect
162. #13093996	C₂³	semidirect
163. #13093996	C₂³	semidirect
164. #13093996	C₂³	semidirect
165. #13093995	C₂³	semidirect
166. #13093995	C₂³	semidirect
167. #13093995	C₂³	semidirect
168. #13093993	C₂³	semidirect
169. #13093992	C₂³	semidirect
170. C₄×Dic₉₄	C₂³	semidirect
171. #13093989	C₂³	semidirect
172. C₄×D₁₈₈	C₂³	semidirect
175. D₄×Dic₄₇	C₂³	semidirect
176. D₄×Dic₄₇	C₂³	semidirect
177. D₄×Dic₄₇	C₂³	semidirect
178. D₄×Dic₄₇	C₂³	semidirect
179. D₄×Dic₄₇	C₂³	semidirect
180. D₄×Dic₄₇	C₂³	semidirect
181. #13093986	C₂³	semidirect
182. C₄×C₂²⋊D₄₇	C₂³	semidirect
183. C₄×C₂²⋊D₄₇	C₂³	semidirect
184. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
185. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
186. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
187. #13093982	C₂³	semidirect
188. #13093980	C₂³	semidirect
194. C₂×C₄⋊Dic₄₇	C₂³	semidirect
199. C₄⋊C₄×D₄₇	C₂³	semidirect
206. C₂×C₂²⋊Dic₄₇	C₂³	semidirect
211. C₂²⋊C₄×D₄₇	C₂³	semidirect
218. C₂×C₄×Dic₄₇	C₂³	semidirect
219. C₄²×D₄₇	C₂³	semidirect
231. C₂²×D₄×C₄₇	C₂³	semidirect
234. #127×C₄₇	C₂³	semidirect
235. #121×C₄₇	C₂³	semidirect
236. #121×C₄₇	C₂³	semidirect
237. #120×C₄₇	C₂³	semidirect
239. C₄×D₄×C₄₇	C₂³	semidirect
266. C₂×D₄×C₄₇	C₂×D₄	semidirect
267. C₂×D₄×C₄₇	#41	semidirect
290. C₂×C₂²⋊D₄₇	C₂×D₄	semidirect
304. C₂²×Dic₄₇	C₂×D₄	semidirect
324. #10625352	C₂×D₄	direct (N × H)
334. C₂×C₄×D₄₇	C₂×D₄	semidirect
344. C₂×Dic₉₄	C₂×D₄	semidirect
391. C₂³×C₄₇	C₂×#41	semidirect
413. D₄×C₄₇	C₂²×D₄	semidirect
414. D₄×C₄₇	C₂×#41	semidirect
421. C₂×C₄×C₄₇	C₂×#41	semidirect
432. C₂²⋊D₄₇	C₂²×D₄	semidirect
446. C₂×Dic₄₇	C₂²×D₄	semidirect
460. C₄×D₄₇	C₂²×D₄	semidirect
463. Dic₉₄	C₂²×D₄	semidirect
479. C₂²×C₄₇	C₂²×#41	semidirect
495. C₄×C₄₇	C₂²×#41	semidirect
513. C₂×D₄²	D₄₇	semidirect
524. C₂×C₄₇	D₄×#41	semidirect
542. C₂³×D₄	C₂×D₄₇	semidirect
553. D₄²	C₂×D₄₇	semidirect
559. C₂×#127	C₂×D₄₇	semidirect
578. C₂×#121	C₂×D₄₇	semidirect
579. C₂×#121	C₂×D₄₇	semidirect
582. C₂×#120	C₂×D₄₇	semidirect
604. C₂×C₄×D₄	C₂×D₄₇	semidirect
613. C₄₇	C₂×D₄×#41	semidirect
655. C₂²×D₄	C₂²×D₄₇	semidirect
678. #127	C₂²×D₄₇	semidirect
695. #121	C₂²×D₄₇	semidirect
696. #121	C₂²×D₄₇	semidirect
699. #120	C₂²×D₄₇	semidirect
718. C₄×D₄	C₂²×D₄₇	semidirect
807. C₂×D₄	D₄×D₄₇	semidirect
808. C₂×D₄	#10625352	direct (N × H)
915. C₂³	C₂×#10625352	semidirect
935. D₄	C₂×D₄×D₄₇	semidirect
936. D₄	C₂×#10625352	direct (N × H)
970. C₂×C₄	C₂×#10625352	semidirect
999. C₂²	C₂²×#10625352	semidirect
1013. C₄	C₂²×#10625352	semidirect
1019. C₂	D₄×#10625352	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#10625352	2
D₄×#10625352	2
C₂×#15689793	2
C₂×D₄×Dic₉₄	2
C₂×#15689779	2
C₂×#15689777	2
C₂×#15689773	2
C₂×#15689767	2
C₂×#15689760	2
C₂×D₄×C₂²⋊D₄₇	2
C₂×#15689671	2
C₂×#15689668	2
C₂×#15689633	2
C₂×#15689629	2
C₂×C₄×#10625352	2
C₂²×D₄×Dic₄₇	2
C₂×C₄×D₄×D₄₇	2
C₂×D₄²×C₄₇	2
C₂×D₄×#41	47

Subgroups — C2×D4×#10625352 #27123232

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₄×#10625352 #27123232