Subgroups — #26379318

Order 12032.

2318 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20246580	C₂	1	4	yes	maximal, complemented
2	#20246408	C₂	1	2	yes	maximal
3	#20246397	C₂	1	2	yes	maximal, complemented
4	#20246345	C₂	1	1	yes	maximal, characteristic, complemented
5	#20246337	C₂	1	1	yes	maximal, characteristic, complemented
6	#20246317	C₂	1	2	yes	maximal, complemented
7	Q₈×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
8	D₄×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
9	D₄×C₄⋊Dic₄₇	C₂	1	2	yes	maximal, complemented
10	#20246130	C₂	1	2	yes	maximal, complemented
11	#20246101	C₂	1	2	yes	maximal, complemented
12	#20246060	C₂	1	4	yes	maximal, complemented
13	#20246011	C₂	1	2	yes	maximal, complemented
14	#20245997	C₂	1	2	yes	maximal, complemented
15	C₂×#15688993	C₂	1	1	yes	maximal, characteristic, complemented
16	#20245786	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄₇×#529	C₂	1	1	yes	maximal, characteristic
18	C₂×Q₈×Dic₄₇	C₂²	1	2	yes	—
19	C₂×D₄×Dic₄₇	C₂²	1	4	yes	—
20	C₂×D₄×Dic₄₇	C₂²	1	2	yes	—
21	C₂×#13093983	C₂²	1	2	yes	—
22	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
23	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
24	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
25	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
26	#15689030	C₂²	1	2	yes	—
27	#15689026	C₂²	1	2	yes	—
28	#15689022	C₂²	1	4	yes	—
29	#15689022	C₂²	1	2	yes	—
30	#15689022	C₂²	1	4	yes	—
31	#15689022	C₂²	1	2	yes	—
32	#15689022	C₂²	1	4	yes	—
33	#15689022	C₂²	1	4	yes	—
34	#15689016	C₂²	1	4	yes	—
35	#15689016	C₂²	1	4	yes	—
36	#15689016	C₂²	1	4	yes	—
37	#15689016	C₂²	1	4	yes	—
38	#15689009	C₂²	1	4	yes	—
39	#15689009	C₂²	1	4	yes	—
40	#15689009	C₂²	1	4	yes	—
41	#15689009	C₂²	1	4	yes	—
42	#15689003	C₂²	1	4	yes	—
43	#15688998	C₂²	1	4	yes	—
44	#15688998	C₂²	1	4	yes	—
45	#15688998	C₂²	1	4	yes	—
46	#15688998	C₂²	1	4	yes	—
47	#15688998	C₂²	1	4	yes	—
48	#15688993	C₂²	1	1	yes	characteristic
49	#15688993	C₂²	1	2	yes	—
50	#15688993	C₂²	1	1	yes	characteristic
51	#15688993	C₂²	1	2	yes	—
52	#15688993	C₂²	1	2	yes	—
53	#15688993	C₂²	1	2	yes	—
54	#15688991	C₂²	1	2	yes	—
55	#15688989	C₂²	1	1	yes	characteristic
56	#15688989	C₂²	1	1	yes	characteristic
57	#15688989	C₂²	1	2	yes	—
58	#15688986	C₂²	1	2	yes	—
59	#15688983	C₂²	1	1	yes	characteristic
60	#15688983	C₂²	1	2	yes	—
61	#15688983	C₂²	1	2	yes	—
62	#15688983	C₂²	1	1	yes	characteristic
63	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
64	C₄⋊C₄×Dic₄₇	C₂²	1	2	yes	—
65	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
66	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
67	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
68	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
69	C₂²⋊C₄×Dic₄₇	C₂²	1	4	yes	—
70	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
71	#15688969	C₂²	1	2	yes	—
72	C₄₇×#529	C₄	1	16	yes	complemented
73	C₂×#126×C₄₇	C₂²	1	2	yes	—
74	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
75	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic
76	C₂×#123×C₄₇	C₂²	1	2	yes	—
77	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
78	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
79	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
80	C₂×C₄×D₄×C₄₇	C₂²	1	2	yes	—
81	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
82	C₂×#117×C₄₇	C₂²	1	2	yes	—
83	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
84	C₂³×Dic₄₇	C₂³	1	4	yes	—
85	C₂³×Dic₄₇	C₂³	1	4	yes	—
86	Q₈×Dic₄₇	—	4	4	no	—
87	D₄×Dic₄₇	—	4	4	no	—
88	D₄×Dic₄₇	—	4	8	no	—
89	#13093983	—	4	4	no	—
90	C₂×C₄⋊Dic₄₇	—	4	4	no	—
91	C₂×C₄⋊Dic₄₇	—	4	4	no	—
92	C₂×C₄⋊Dic₄₇	—	4	4	no	—
93	C₂×C₄⋊Dic₄₇	—	4	4	no	—
94	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
95	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
96	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
97	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
98	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
99	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
100	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
101	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
102	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
103	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
104	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
105	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
106	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
107	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
108	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
109	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
110	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
111	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
112	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
113	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
114	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
115	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
116	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
117	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
118	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
119	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
120	C₄₇⋊#95	C₂³	1	2	yes	—
121	C₄₇⋊#95	C₂³	1	2	yes	—
122	C₄₇⋊#95	C₂³	1	2	yes	—
123	C₄₇⋊#95	C₂³	1	2	yes	—
124	C₄₇⋊#95	C₂³	1	2	yes	—
125	C₄₇⋊#95	C₂³	1	2	yes	—
126	C₄₇⋊#95	C₂³	1	4	yes	—
127	C₄₇⋊#95	C₂³	1	4	yes	—
128	C₄₇⋊#95	C₂³	1	2	yes	—
129	C₄₇⋊#95	C₂³	1	2	yes	—
130	C₄₇⋊#95	C₂³	1	4	yes	—
131	C₄₇⋊#95	C₂³	1	4	yes	—
132	C₄₇⋊#95	C₂³	1	4	yes	—
133	C₄₇⋊#95	C₂³	1	4	yes	—
134	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
136	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
140	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
141	#126×C₄₇	C₂×C₄	1	16	yes	complemented
142	#125×C₄₇	C₂×C₄	1	8	yes	complemented
143	#124×C₄₇	C₂×C₄	1	8	yes	complemented
144	#123×C₄₇	C₂×C₄	1	16	yes	complemented
145	C₂²⋊Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
146	#121×C₄₇	C₂×C₄	1	8	yes	—
147	C₄×Q₈×C₄₇	C₂×C₄	1	8	yes	complemented
148	C₄×D₄×C₄₇	C₂×C₄	1	8	yes	complemented
149	C₄×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
150	#117×C₄₇	C₂×C₄	1	16	yes	complemented
151	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
157	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
158	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
159	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
160	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
161	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
162	C₂×C₄²×C₄₇	C₂×C₄	1	8	yes	complemented
163	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
165	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
166	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
167	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
168	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
169	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
170	C₂×Q₈×C₄₇	—	2	2	no	—
171	C₂×Q₈×C₄₇	—	2	2	no	—
172	C₂×Q₈×C₄₇	C₂²×C₄	1	4	yes	—
173	C₂×D₄×C₄₇	—	2	4	no	—
174	C₂×D₄×C₄₇	—	2	4	no	—
175	C₂×D₄×C₄₇	—	2	2	no	—
176	C₂×D₄×C₄₇	—	2	2	no	—
177	C₂×D₄×C₄₇	C₂²×C₄	1	8	yes	—
178	C₂×D₄×C₄₇	C₂²×C₄	1	4	yes	—
179	C₂²×C₄×C₄₇	—	2	2	no	—
180	C₂²×C₄×C₄₇	—	2	2	no	—
181	C₂²×C₄×C₄₇	—	2	2	no	—
182	C₂²×C₄×C₄₇	—	2	2	no	—
183	C₂²×C₄×C₄₇	—	2	4	no	—
184	C₂²×C₄×C₄₇	—	2	2	no	—
185	C₂²×C₄×C₄₇	—	2	2	no	—
186	C₂²×C₄×C₄₇	—	2	4	no	—
187	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
188	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
189	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
190	C₂²×C₄×C₄₇	C₂²×C₄	1	8	yes	—
191	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
194	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
195	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
200	C₂²×Dic₄₇	—	2	8	no	—
201	C₂²×Dic₄₇	—	4	4	no	—
202	C₂²×Dic₄₇	—	4	4	no	—
203	C₂²×Dic₄₇	—	4	4	no	—
204	C₂²×Dic₄₇	—	4	4	no	—
205	C₂²×Dic₄₇	—	4	4	no	—
206	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
207	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
208	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
209	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
210	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
211	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
212	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
213	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
214	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
215	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
216	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
217	C₄⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
218	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
219	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
220	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
221	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
222	C₂²⋊C₄×C₄₇	C₂²×C₄	1	8	yes	—
223	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
224	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
225	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
226	C₄²×C₄₇	C₂²×C₄	1	4	yes	—
227	C₄²×C₄₇	C₂²×C₄	1	8	yes	—
228	C₂²⋊Dic₄₇	—	2	4	no	—
229	C₂²⋊Dic₄₇	—	2	4	no	—
230	C₂²⋊Dic₄₇	—	4	4	no	—
231	C₂²⋊Dic₄₇	—	4	4	no	—
232	C₂²⋊Dic₄₇	—	4	4	no	—
233	C₄⋊Dic₄₇	—	2	2	no	—
234	C₄⋊Dic₄₇	—	2	4	no	—
235	C₄⋊Dic₄₇	—	2	4	no	—
236	C₄⋊Dic₄₇	—	2	4	no	—
237	C₄⋊Dic₄₇	—	2	4	no	—
238	C₄⋊Dic₄₇	—	2	2	no	—
239	C₄⋊Dic₄₇	—	2	2	no	—
240	C₄⋊Dic₄₇	—	2	2	no	—
241	C₄⋊Dic₄₇	—	4	4	no	—
242	C₄⋊Dic₄₇	—	4	4	no	—
243	C₄⋊Dic₄₇	—	4	2	no	—
244	C₄⋊Dic₄₇	—	4	4	no	—
245	C₄⋊Dic₄₇	—	4	4	no	—
246	C₄⋊Dic₄₇	—	4	2	no	—
247	C₄⋊Dic₄₇	—	4	4	no	—
248	C₄⋊Dic₄₇	—	4	4	no	—
249	C₄×Dic₄₇	—	2	4	no	—
250	C₄×Dic₄₇	—	2	4	no	—
251	C₄×Dic₄₇	—	4	4	no	—
252	C₄×Dic₄₇	—	4	4	no	—
253	C₄×Dic₄₇	—	4	4	no	—
254	C₂³×C₄₇	—	2	1	no	—
255	C₂³×C₄₇	—	2	1	no	—
256	C₂³×C₄₇	—	2	1	no	—
257	C₂³×C₄₇	—	2	1	no	—
258	C₂³×C₄₇	—	2	2	no	—
259	C₂³×C₄₇	—	2	2	no	—
260	C₂³×C₄₇	—	2	2	no	—
261	C₂³×C₄₇	—	2	2	no	—
262	C₂³×C₄₇	—	2	2	no	—
263	C₂³×C₄₇	—	2	2	no	—
264	C₂³×C₄₇	C₂³×C₄	1	4	yes	—
265	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
266	C₂³×C₄₇	H(5,𝔽₂)	1	2	yes	—
267	C₂³×C₄₇	2₋¹⁺⁴	1	2	yes	—
268	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
269	Q₈×C₄₇	—	2	8	no	—
270	D₄×C₄₇	—	2	16	no	—
271	D₄×C₄₇	—	2	8	no	—
272	C₂×C₄×C₄₇	—	2	8	no	—
273	C₂×C₄×C₄₇	—	2	2	no	—
274	C₂×C₄×C₄₇	—	2	2	no	—
275	C₂×C₄×C₄₇	—	2	2	no	—
276	C₂×C₄×C₄₇	—	2	1	no	—
277	C₂×C₄×C₄₇	—	2	1	no	—
278	C₂×C₄×C₄₇	—	2	1	no	—
279	C₂×C₄×C₄₇	—	2	1	no	—
280	C₂×C₄×C₄₇	—	2	1	no	—
281	C₂×C₄×C₄₇	—	2	1	no	—
282	C₂×C₄×C₄₇	—	2	2	no	—
283	C₂×C₄×C₄₇	—	2	1	no	—
284	C₂×C₄×C₄₇	—	2	1	no	—
285	C₂×C₄×C₄₇	—	2	2	no	—
286	C₂×C₄×C₄₇	—	2	2	no	—
287	C₂×C₄×C₄₇	—	2	8	no	—
288	C₂×C₄×C₄₇	—	2	16	no	—
289	C₂×C₄×C₄₇	—	2	8	no	—
290	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
291	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
292	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
293	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
294	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
295	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
296	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
297	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
298	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
299	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
300	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
301	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
302	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
303	C₂×Dic₄₇	—	2	2	no	—
304	C₂×Dic₄₇	—	2	2	no	—
305	C₂×Dic₄₇	—	2	2	no	—
306	C₂×Dic₄₇	—	2	2	no	—
307	C₂×Dic₄₇	—	2	4	no	—
308	C₂×Dic₄₇	—	2	4	no	—
309	C₂×Dic₄₇	—	2	4	no	—
310	C₂×Dic₄₇	—	2	2	no	—
311	C₂×Dic₄₇	—	2	4	no	—
312	C₂×Dic₄₇	—	2	4	no	—
313	C₂×Dic₄₇	—	2	4	no	—
314	C₂×Dic₄₇	—	2	2	no	—
315	C₂×Dic₄₇	—	2	2	no	—
316	C₂×Dic₄₇	—	2	2	no	—
317	C₂×Dic₄₇	—	2	2	no	—
318	C₂×Dic₄₇	—	2	2	no	—
319	C₂×Dic₄₇	—	2	2	no	—
320	C₂×Dic₄₇	—	2	2	no	—
321	C₂×Dic₄₇	—	8	8	no	—
322	C₂×Dic₄₇	—	8	8	no	—
323	#34384	—	47	1	no	maximal, Sylow
324	C₂²×C₄₇	—	2	2	no	—
325	C₂²×C₄₇	—	2	2	no	—
326	C₂²×C₄₇	—	2	2	no	—
327	C₂²×C₄₇	—	2	2	no	—
328	C₂²×C₄₇	—	2	2	no	—
329	C₂²×C₄₇	—	2	2	no	—
330	C₂²×C₄₇	—	2	4	no	—
331	C₂²×C₄₇	—	2	4	no	—
332	C₂²×C₄₇	—	2	4	no	—
333	C₂²×C₄₇	—	4	2	no	—
334	C₂²×C₄₇	—	4	2	no	—
335	C₂²×C₄₇	—	4	2	no	—
336	C₂²×C₄₇	—	4	2	no	—
337	C₂²×C₄₇	#520	1	4	yes	—
338	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
339	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
340	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
341	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
342	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
343	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
344	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
345	C₄×C₄₇	—	2	2	no	—
346	C₄×C₄₇	—	2	2	no	—
347	C₄×C₄₇	—	2	4	no	—
348	C₄×C₄₇	—	2	2	no	—
349	C₄×C₄₇	—	2	2	no	—
350	C₄×C₄₇	—	2	4	no	—
351	C₄×C₄₇	—	2	4	no	—
352	C₄×C₄₇	#520	1	4	yes	—
353	C₄×C₄₇	#520	1	4	yes	—
354	Dic₄₇	—	4	4	no	—
355	Dic₄₇	—	4	2	no	—
356	Dic₄₇	—	4	4	no	—
357	Dic₄₇	—	4	2	no	—
358	Dic₄₇	—	4	2	no	—
359	Dic₄₇	—	4	2	no	—
360	C₂×#529	D₄₇	1	1	yes	characteristic
361	#2383	—	47	4	no	—
362	#2361	—	47	2	no	—
363	#2360	—	47	2	no	—
364	#2355	—	47	1	no	—
365	#2354	—	47	1	no	—
366	#2352	—	47	2	no	—
367	Q₈×C₄⋊C₄	—	47	1	no	—
368	D₄×C₄⋊C₄	—	47	1	no	—
369	D₄×C₄⋊C₄	—	47	2	no	—
370	#2330	—	47	2	no	—
371	#2326	—	47	2	no	—
372	#2322	—	47	4	no	—
373	#2317	—	47	2	no	—
374	#2314	—	47	2	no	—
375	C₂×#384	—	47	1	no	—
376	#2283	—	47	1	no	—
377	C₂×C₄₇	—	2	4	no	—
378	C₂×C₄₇	—	4	4	no	—
379	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
380	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
381	C₂×C₄₇	C₂×#520	1	1	yes	characteristic
382	C₂×C₄₇	#3543	1	1	yes	characteristic
383	C₂×C₄₇	#3544	1	1	yes	characteristic
384	C₂×C₄₇	#3552	1	1	yes	characteristic
385	C₂×C₄₇	#3552	1	1	yes	characteristic
386	#529	Dic₄₇	1	16	yes	complemented
387	C₂×#126	C₂×D₄₇	1	2	yes	—
388	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
389	C₂×#124	C₂×D₄₇	1	1	yes	characteristic
390	C₂×#123	C₂×D₄₇	1	2	yes	—
391	C₂×C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
392	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
393	C₂×C₄×Q₈	—	47	2	no	—
394	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
395	C₂×C₄×D₄	—	47	4	no	—
396	C₂×C₄×D₄	—	47	2	no	—
397	C₂×C₄×D₄	C₂×D₄₇	1	2	yes	—
398	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
399	C₂×#117	—	47	2	no	—
400	C₂×#117	C₂×D₄₇	1	2	yes	—
401	C₂²×C₄⋊C₄	—	47	2	no	—
402	C₂²×C₄⋊C₄	—	47	2	no	—
403	C₂²×C₄⋊C₄	—	47	2	no	—
404	C₂²×C₄⋊C₄	—	47	2	no	—
405	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
406	#391	—	47	2	no	—
407	#390	—	47	2	no	—
408	#389	—	47	4	no	—
409	#389	—	47	4	no	—
410	#389	—	47	4	no	—
411	#389	—	47	2	no	—
412	#389	—	47	4	no	—
413	#389	—	47	2	no	—
414	#388	—	47	4	no	—
415	#388	—	47	4	no	—
416	#388	—	47	4	no	—
417	#388	—	47	4	no	—
418	#387	—	47	4	no	—
419	#387	—	47	4	no	—
420	#387	—	47	4	no	—
421	#387	—	47	4	no	—
422	#386	—	47	4	no	—
423	#385	—	47	4	no	—
424	#385	—	47	4	no	—
425	#385	—	47	4	no	—
426	#385	—	47	4	no	—
427	#385	—	47	4	no	—
428	#384	—	47	2	no	—
429	#384	—	47	2	no	—
430	#384	—	47	2	no	—
431	#384	—	47	1	no	—
432	#384	—	47	1	no	—
433	#384	—	47	2	no	—
434	#383	—	47	2	no	—
435	#382	—	47	1	no	—
436	#382	—	47	1	no	—
437	#382	—	47	2	no	—
438	#381	—	47	2	no	—
439	#380	—	47	2	no	—
440	#380	—	47	2	no	—
441	#380	—	47	1	no	—
442	#380	—	47	1	no	—
443	C₄×C₄⋊C₄	—	47	2	no	—
444	C₄×C₄⋊C₄	—	47	2	no	—
445	C₄×C₄⋊C₄	—	47	2	no	—
446	C₄×C₄⋊C₄	—	47	2	no	—
447	C₄×C₄⋊C₄	—	47	1	no	—
448	C₄×C₄⋊C₄	—	47	1	no	—
449	C₄×C₂²⋊C₄	—	47	2	no	—
450	C₄×C₂²⋊C₄	—	47	4	no	—
451	#376	—	47	2	no	—
452	C₄₇	#34384	1	1	yes	characteristic, complemented, Sylow
453	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
454	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
455	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
456	C₂³×C₄	—	47	4	no	—
457	C₂³×C₄	—	47	4	no	—
458	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
459	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
460	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
461	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
462	#126	C₂×Dic₄₇	1	16	yes	complemented
463	#125	C₂×Dic₄₇	1	8	yes	complemented
464	#124	C₂×Dic₄₇	1	8	yes	complemented
465	#123	C₂×Dic₄₇	1	16	yes	complemented
466	C₂²⋊Q₈	C₂×Dic₄₇	1	8	yes	complemented
467	#121	C₂×Dic₄₇	1	8	yes	—
468	C₄×Q₈	—	188	4	no	—
469	C₄×Q₈	C₂×Dic₄₇	1	8	yes	complemented
470	C₄×D₄	—	188	4	no	—
471	C₄×D₄	—	188	8	no	—
472	C₄×D₄	C₂×Dic₄₇	1	8	yes	complemented
473	C₄×D₄	C₂×Dic₄₇	1	16	yes	complemented
474	#117	—	188	4	no	—
475	#117	C₂×Dic₄₇	1	16	yes	complemented
476	C₂×C₄⋊C₄	—	47	1	no	—
477	C₂×C₄⋊C₄	—	47	2	no	—
478	C₂×C₄⋊C₄	—	47	2	no	—
479	C₂×C₄⋊C₄	—	47	2	no	—
480	C₂×C₄⋊C₄	—	47	2	no	—
481	C₂×C₄⋊C₄	—	47	1	no	—
482	C₂×C₄⋊C₄	—	47	1	no	—
483	C₂×C₄⋊C₄	—	47	1	no	—
484	C₂×C₄⋊C₄	—	47	2	no	—
485	C₂×C₄⋊C₄	—	47	4	no	—
486	C₂×C₄⋊C₄	—	47	4	no	—
487	C₂×C₄⋊C₄	—	47	4	no	—
488	C₂×C₄⋊C₄	—	47	2	no	—
489	C₂×C₄⋊C₄	—	47	4	no	—
490	C₂×C₄⋊C₄	—	47	4	no	—
491	C₂×C₄⋊C₄	—	47	4	no	—
492	C₂×C₄⋊C₄	—	188	4	no	—
493	C₂×C₄⋊C₄	—	188	4	no	—
494	C₂×C₄⋊C₄	—	188	4	no	—
495	C₂×C₄⋊C₄	—	188	4	no	—
496	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
497	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
498	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
499	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
500	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
501	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
502	C₂×C₂²⋊C₄	—	47	2	no	—
503	C₂×C₂²⋊C₄	—	47	2	no	—
504	C₂×C₂²⋊C₄	—	47	4	no	—
505	C₂×C₂²⋊C₄	—	47	4	no	—
506	C₂×C₂²⋊C₄	—	47	4	no	—
507	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
508	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
509	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
510	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
511	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
512	C₂×C₄²	—	47	2	no	—
513	C₂×C₄²	—	47	2	no	—
514	C₂×C₄²	—	47	4	no	—
515	C₂×C₄²	—	47	4	no	—
516	C₂×C₄²	—	47	4	no	—
517	C₂×C₄²	C₂×Dic₄₇	1	8	yes	complemented
518	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
519	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
520	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
521	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
522	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
523	#95	—	47	2	no	—
524	#95	—	47	2	no	—
525	#95	—	47	2	no	—
526	#95	—	47	2	no	—
527	#95	—	47	4	no	—
528	#95	—	47	2	no	—
529	#95	—	47	2	no	—
530	#95	—	47	4	no	—
531	#95	—	47	4	no	—
532	#95	—	47	2	no	—
533	#95	—	47	2	no	—
534	#95	—	47	4	no	—
535	#95	—	47	4	no	—
536	#95	—	47	4	no	—
537	C₂⁴	C₂³×D₄₇	1	2	yes	—
538	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
539	C₂×Q₈	—	2	2	no	—
540	C₂×Q₈	—	2	2	no	—
541	C₂×Q₈	C₂²×Dic₄₇	1	4	yes	—
542	C₂×D₄	—	2	4	no	—
543	C₂×D₄	—	2	4	no	—
544	C₂×D₄	—	2	2	no	—
545	C₂×D₄	—	2	2	no	—
546	C₂×D₄	C₂²×Dic₄₇	1	8	yes	—
547	C₂×D₄	C₂²×Dic₄₇	1	4	yes	—
548	C₂²×C₄	—	2	2	no	—
549	C₂²×C₄	—	2	2	no	—
550	C₂²×C₄	—	2	2	no	—
551	C₂²×C₄	—	2	2	no	—
552	C₂²×C₄	—	2	4	no	—
553	C₂²×C₄	—	2	2	no	—
554	C₂²×C₄	—	2	2	no	—
555	C₂²×C₄	—	2	4	no	—
556	C₂²×C₄	—	47	2	no	—
557	C₂²×C₄	—	47	2	no	—
558	C₂²×C₄	—	47	2	no	—
559	C₂²×C₄	—	47	2	no	—
560	C₂²×C₄	—	47	4	no	—
561	C₂²×C₄	—	47	4	no	—
562	C₂²×C₄	—	94	8	no	—
563	C₂²×C₄	—	188	4	no	—
564	C₂²×C₄	—	188	4	no	—
565	C₂²×C₄	—	188	4	no	—
566	C₂²×C₄	—	188	4	no	—
567	C₂²×C₄	—	188	4	no	—
568	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
569	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
570	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
571	C₂²×C₄	C₂²×Dic₄₇	1	8	yes	—
572	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
573	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
574	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
575	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
576	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
577	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
578	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
579	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
580	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
581	C₄⋊C₄	—	94	2	no	—
582	C₄⋊C₄	—	94	4	no	—
583	C₄⋊C₄	—	94	4	no	—
584	C₄⋊C₄	—	94	4	no	—
585	C₄⋊C₄	—	94	4	no	—
586	C₄⋊C₄	—	94	2	no	—
587	C₄⋊C₄	—	94	2	no	—
588	C₄⋊C₄	—	94	2	no	—
589	C₄⋊C₄	—	188	4	no	—
590	C₄⋊C₄	—	188	4	no	—
591	C₄⋊C₄	—	188	4	no	—
592	C₄⋊C₄	—	188	2	no	—
593	C₄⋊C₄	—	188	4	no	—
594	C₄⋊C₄	—	188	2	no	—
595	C₄⋊C₄	—	188	4	no	—
596	C₄⋊C₄	—	188	4	no	—
597	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
598	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
599	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
600	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
601	C₄⋊C₄	C₂²×Dic₄₇	1	4	yes	—
602	C₄⋊C₄	C₂²×Dic₄₇	1	8	yes	—
603	C₂²⋊C₄	—	94	4	no	—
604	C₂²⋊C₄	—	94	4	no	—
605	C₂²⋊C₄	—	188	4	no	—
606	C₂²⋊C₄	—	188	4	no	—
607	C₂²⋊C₄	—	188	4	no	—
608	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
609	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
610	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
611	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
612	C₂²⋊C₄	C₂²×Dic₄₇	1	8	yes	—
613	C₄²	—	94	4	no	—
614	C₄²	—	94	4	no	—
615	C₄²	—	188	4	no	—
616	C₄²	—	188	4	no	—
617	C₄²	—	188	4	no	—
618	C₄²	C₂²×Dic₄₇	1	4	yes	—
619	C₄²	C₂²×Dic₄₇	1	4	yes	—
620	C₄²	C₂²×Dic₄₇	1	4	yes	—
621	C₄²	C₂²×Dic₄₇	1	4	yes	—
622	C₄²	C₂²×Dic₄₇	1	8	yes	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	2	no	—
628	C₂³	—	2	2	no	—
629	C₂³	—	2	2	no	—
630	C₂³	—	2	2	no	—
631	C₂³	—	2	2	no	—
632	C₂³	—	2	2	no	—
633	C₂³	C₂³×Dic₄₇	1	4	yes	—
634	C₂³	C₂³×Dic₄₇	1	2	yes	—
635	C₂³	#13094070	1	2	yes	—
636	C₂³	#13094071	1	2	yes	—
637	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
638	Q₈	—	2	8	no	—
639	D₄	—	2	16	no	—
640	D₄	—	2	8	no	—
641	C₂×C₄	—	2	8	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	2	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	2	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	8	no	—
657	C₂×C₄	—	2	16	no	—
658	C₂×C₄	—	2	8	no	—
659	C₂×C₄	—	94	2	no	—
660	C₂×C₄	—	94	2	no	—
661	C₂×C₄	—	94	2	no	—
662	C₂×C₄	—	94	2	no	—
663	C₂×C₄	—	94	4	no	—
664	C₂×C₄	—	94	4	no	—
665	C₂×C₄	—	94	4	no	—
666	C₂×C₄	—	94	2	no	—
667	C₂×C₄	—	94	4	no	—
668	C₂×C₄	—	94	4	no	—
669	C₂×C₄	—	94	2	no	—
670	C₂×C₄	—	94	4	no	—
671	C₂×C₄	—	94	2	no	—
672	C₂×C₄	—	94	2	no	—
673	C₂×C₄	—	94	2	no	—
674	C₂×C₄	—	94	2	no	—
675	C₂×C₄	—	94	2	no	—
676	C₂×C₄	—	94	2	no	—
677	C₂×C₄	—	376	8	no	—
678	C₂×C₄	—	376	8	no	—
679	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
680	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
681	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
682	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
683	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
684	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
685	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
686	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
687	C₂×C₄	C₂³×Dic₄₇	1	2	yes	—
688	C₂×C₄	#13094070	1	2	yes	—
689	C₂×C₄	#13094070	1	2	yes	—
690	C₂×C₄	#13094071	1	2	yes	—
691	C₂×C₄	#13094071	1	2	yes	—
692	C₂²	—	2	2	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	4	no	—
699	C₂²	—	2	4	no	—
700	C₂²	—	2	4	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	2	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	4	2	no	—
705	C₂²	#15689606	1	4	yes	—
706	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
707	C₂²	C₂×#13094070	1	1	yes	characteristic
708	C₂²	C₂×#13094070	1	1	yes	characteristic
709	C₂²	C₂×#13094070	1	1	yes	characteristic
710	C₂²	C₂×#13094071	1	1	yes	characteristic
711	C₂²	C₂×#13094071	1	1	yes	characteristic
712	C₂²	C₂×#13094071	1	1	yes	characteristic
713	C₄	—	2	2	no	—
714	C₄	—	2	2	no	—
715	C₄	—	2	4	no	—
716	C₄	—	2	2	no	—
717	C₄	—	2	2	no	—
718	C₄	—	2	4	no	—
719	C₄	—	2	4	no	—
720	C₄	—	188	2	no	—
721	C₄	—	188	2	no	—
722	C₄	—	188	2	no	—
723	C₄	—	188	4	no	—
724	C₄	—	188	4	no	—
725	C₄	—	188	2	no	—
726	C₄	#15689606	1	4	yes	—
727	C₄	#15689606	1	4	yes	—
728	C₂	—	2	4	no	—
729	C₂	—	4	4	no	—
730	C₂	C₂×#15689606	1	1	yes	characteristic
731	C₂	C₂×#15689606	1	1	yes	characteristic
732	C₂	C₂×#15689606	1	1	yes	characteristic
733	C₂	#20257718	1	1	yes	characteristic
734	C₂	#20257728	1	1	yes	characteristic
735	C₂	#20257825	1	1	yes	characteristic
736	C₂	#20257833	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Fitting	C₂×C₄₇×#529	C₂
socle, cosocle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#121×C₄₇	C₂²
hypercenter	C₂×#529	D₄₇
hypocenter	C₄₇	#34384
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #20246580	C₂	semidirect
3. #20246397	C₂	semidirect
4. #20246345	C₂	semidirect
5. #20246337	C₂	semidirect
6. #20246317	C₂	semidirect
7. Q₈×C₄⋊Dic₄₇	C₂	semidirect
8. D₄×C₄⋊Dic₄₇	C₂	semidirect
9. D₄×C₄⋊Dic₄₇	C₂	semidirect
10. #20246130	C₂	semidirect
11. #20246101	C₂	semidirect
12. #20246060	C₂	semidirect
13. #20246011	C₂	semidirect
14. #20245997	C₂	semidirect
15. C₂×#15688993	C₂	semidirect
16. #20245786	C₂	semidirect
72. C₄₇×#529	C₄	semidirect
141. #126×C₄₇	C₂×C₄	semidirect
142. #125×C₄₇	C₂×C₄	semidirect
143. #124×C₄₇	C₂×C₄	semidirect
144. #123×C₄₇	C₂×C₄	semidirect
145. C₂²⋊Q₈×C₄₇	C₂×C₄	semidirect
147. C₄×Q₈×C₄₇	C₂×C₄	semidirect
148. C₄×D₄×C₄₇	C₂×C₄	semidirect
149. C₄×D₄×C₄₇	C₂×C₄	semidirect
150. #117×C₄₇	C₂×C₄	semidirect
162. C₂×C₄²×C₄₇	C₂×C₄	semidirect
386. #529	Dic₄₇	semidirect
452. C₄₇	#34384	semidirect
462. #126	C₂×Dic₄₇	semidirect
463. #125	C₂×Dic₄₇	semidirect
464. #124	C₂×Dic₄₇	semidirect
465. #123	C₂×Dic₄₇	semidirect
466. C₂²⋊Q₈	C₂×Dic₄₇	semidirect
469. C₄×Q₈	C₂×Dic₄₇	semidirect
472. C₄×D₄	C₂×Dic₄₇	semidirect
473. C₄×D₄	C₂×Dic₄₇	semidirect
475. #117	C₂×Dic₄₇	semidirect
517. C₂×C₄²	C₂×Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20246580	2
#20246408	2
#20246397	2
#20246345	2
#20246337	2
#20246317	2
Q₈×C₄⋊Dic₄₇	2
D₄×C₄⋊Dic₄₇	2
#20246130	2
#20246101	2
#20246060	2
#20246011	2
#20245997	2
C₂×#15688993	2
#20245786	2
C₂×C₄₇×#529	2
#34384	47