Subgroups — C₄₇×#63020 #26102718

Order 12032.

7272 conjugacy classes of subgroups.

The subgroup lattice has 1234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3562	C₂	1	6	yes	maximal, complemented
2	C₄₇×#3558	C₂	1	6	yes	maximal, complemented
3	C₄₇×#3551	C₂	1	3	yes	maximal, complemented
4	C₄₇×#3541	C₂	1	6	yes	maximal, complemented
5	C₄₇×#3540	C₂	1	3	yes	maximal, complemented
6	C₄₇×#3537	C₂	1	3	yes	maximal, complemented
7	C₄₇×#3524	C₂	1	2	yes	maximal, complemented
8	C₄₇×#3519	C₂	1	6	yes	maximal, complemented
9	C₄₇×#3516	C₂	1	2	yes	maximal, complemented
10	C₄₇×#3514	C₂	1	6	yes	maximal, complemented
11	C₄₇×#3505	C₂	1	6	yes	maximal, complemented
12	C₄₇×#3500	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄₇×#3488	C₂	1	2	yes	maximal, complemented
14	C₄₇×#3487	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#3486	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₇×#3481	C₂	1	3	yes	maximal, complemented
17	C₄₇×#3480	C₂	1	2	yes	maximal, complemented
18	D₄×#41×C₄₇	C₂	1	2	yes	maximal, complemented
19	C₂×C₄₇×#548	C₂	1	2	yes	maximal, complemented
20	C₂×2₋¹⁺⁴×C₄₇	C₂²	1	1	yes	characteristic, complemented
21	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic, complemented
22	C₂²×#41×C₄₇	C₂²	1	2	yes	complemented
23	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
24	C₂³×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
25	C₄₇×#563	C₂²	1	6	yes	complemented
26	C₄₇×#562	C₂²	1	12	yes	complemented
27	C₄₇×H(3,𝔽₄)	C₂²	1	6	yes	complemented
28	C₄₇×#560	C₂²	1	6	yes	complemented
29	C₄₇×#560	C₂²	1	6	yes	complemented
30	C₄₇×#559	C₂²	1	6	yes	complemented
31	C₄₇×#559	C₂²	1	6	yes	complemented
32	C₄₇×#559	C₂²	1	3	yes	complemented
33	C₄₇×#557	C₂²	1	2	yes	complemented
34	C₄₇×#556	C₂²	1	6	yes	complemented
35	C₄₇×#556	C₂²	1	6	yes	complemented
36	C₄₇×#555	C₂²	1	6	yes	complemented
37	C₄₇×#555	C₂²	1	6	yes	complemented
38	C₄₇×#554	C₂²	1	6	yes	complemented
39	C₄₇×#554	C₂²	1	6	yes	complemented
40	C₄₇×#553	C₂²	1	6	yes	complemented
41	C₄₇×#553	C₂²	1	6	yes	complemented
42	C₄₇×#553	C₂²	1	6	yes	complemented
43	C₄₇×#553	C₂²	1	6	yes	complemented
44	C₄₇×#553	C₂²	1	6	yes	complemented
45	C₄₇×#553	C₂²	1	6	yes	complemented
46	C₄₇×#553	C₂²	1	12	yes	complemented
47	C₄₇×#552	C₂²	1	6	yes	complemented
48	C₄₇×#552	C₂²	1	6	yes	complemented
49	C₄₇×#551	C₂²	1	3	yes	complemented
50	C₄₇×#551	C₂²	1	12	yes	complemented
51	C₄₇×#551	C₂²	1	1	yes	characteristic, complemented
52	C₄₇×#551	C₂²	1	6	yes	complemented
53	C₄₇×#551	C₂²	1	6	yes	complemented
54	C₄₇×#550	C₂²	1	6	yes	complemented
55	C₄₇×#550	C₂²	1	2	yes	complemented
56	C₄₇×#550	C₂²	1	2	yes	complemented
57	D₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
58	D₄×Q₈×C₄₇	C₂²	1	6	yes	complemented
59	C₄₇×#548	C₂²	1	6	yes	complemented
60	C₄₇×#548	C₂²	1	6	yes	complemented
61	C₄₇×#548	C₂²	1	6	yes	complemented
62	C₄₇×#548	C₂²	1	6	yes	complemented
63	C₄₇×#548	C₂²	1	2	yes	complemented
64	C₄₇×#548	C₂²	1	2	yes	complemented
65	C₄₇×#548	C₂²	1	2	yes	complemented
66	C₄₇×#548	C₂²	1	2	yes	complemented
67	C₄₇×#548	C₂²	1	6	yes	complemented
68	C₄₇×#548	C₂²	1	2	yes	complemented
69	C₄₇×#548	C₂²	1	2	yes	complemented
70	C₄₇×#548	C₂²	1	6	yes	complemented
71	C₄₇×#547	C₂²	1	6	yes	complemented
72	C₄₇×#546	C₂²	1	6	yes	complemented
73	C₄₇×#546	C₂²	1	6	yes	complemented
74	C₄₇×#546	C₂²	1	6	yes	complemented
75	C₄₇×#546	C₂²	1	12	yes	complemented
76	C₄₇×#546	C₂²	1	6	yes	complemented
77	C₄₇×#546	C₂²	1	6	yes	complemented
78	C₄₇×#546	C₂²	1	6	yes	complemented
79	C₄₇×#546	C₂²	1	6	yes	complemented
80	C₄₇×#546	C₂²	1	6	yes	complemented
81	D₄²×C₄₇	C₂²	1	6	yes	complemented
82	D₄²×C₄₇	C₂²	1	6	yes	complemented
83	D₄²×C₄₇	C₂²	1	3	yes	complemented
84	D₄²×C₄₇	C₂²	1	6	yes	complemented
85	D₄²×C₄₇	C₂²	1	6	yes	complemented
86	C₄₇×#542	C₂²	1	6	yes	complemented
87	C₄₇×#542	C₂²	1	6	yes	complemented
88	C₄₇×#542	C₂²	1	12	yes	complemented
89	C₄₇×#541	C₂²	1	6	yes	complemented
90	C₄₇×#540	C₂²	1	12	yes	complemented
91	C₄₇×#540	C₂²	1	6	yes	complemented
92	C₄₇×#539	C₂²	1	12	yes	complemented
93	C₄₇×#538	C₂²	1	12	yes	complemented
94	C₄₇×#538	C₂²	1	12	yes	complemented
95	C₄₇×#538	C₂²	1	12	yes	complemented
96	C₄₇×#538	C₂²	1	12	yes	complemented
97	C₄₇×#538	C₂²	1	12	yes	complemented
98	C₄₇×#537	C₂²	1	6	yes	complemented
99	C₄₇×#536	C₂²	1	3	yes	complemented
100	C₄₇×#536	C₂²	1	3	yes	complemented
101	C₄₇×#536	C₂²	1	3	yes	complemented
102	C₄₇×#535	C₂²	1	3	yes	complemented
103	C₄₇×#535	C₂²	1	3	yes	complemented
104	C₄₇×#535	C₂²	1	6	yes	complemented
105	C₄₇×#535	C₂²	1	3	yes	complemented
106	C₄₇×#534	C₂²	1	12	yes	complemented
107	C₄₇×#532	C₂²	1	3	yes	complemented
108	C₄₇×#532	C₂²	1	6	yes	complemented
109	C₄₇×#532	C₂²	1	6	yes	complemented
110	C₄₇×#529	C₂²	1	6	yes	complemented
111	C₄₇×#529	C₂²	1	6	yes	complemented
112	C₄₇×#529	C₂²	1	6	yes	complemented
113	C₄₇×#529	C₂²	1	6	yes	complemented
114	C₄₇×#529	C₂²	1	6	yes	complemented
115	C₄₇×#529	C₂²	1	6	yes	complemented
116	C₂×#124×C₄₇	C₂²	1	6	yes	complemented
117	C₂×#124×C₄₇	C₂²	1	3	yes	complemented
118	C₄₇×#525	C₂²	1	6	yes	complemented
119	C₄₇×#525	C₂²	1	6	yes	complemented
120	C₄₇×#525	C₂²	1	3	yes	complemented
121	C₄₇×#525	C₂²	1	3	yes	complemented
122	C₄₇×#525	C₂²	1	6	yes	complemented
123	C₄₇×#525	C₂²	1	3	yes	complemented
124	C₄₇×#525	C₂²	1	3	yes	complemented
125	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	6	yes	complemented
126	C₂×#121×C₄₇	C₂²	1	6	yes	complemented
127	C₂×#121×C₄₇	C₂²	1	6	yes	complemented
128	C₄₇×#520	C₂²	1	2	yes	complemented
129	C₄₇×#519	C₂²	1	1	yes	characteristic, complemented
130	C₄₇×#519	C₂²	1	1	yes	characteristic, complemented
131	C₄₇×#518	C₂²	1	12	yes	complemented
132	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
133	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₄×#41×C₄₇	C₂²	1	6	yes	complemented
135	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
136	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
137	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
138	2₋¹⁺⁴×C₄₇	—	4	4	no	—
139	H(5,𝔽₂)×C₄₇	—	4	4	no	—
140	C₂×#41×C₄₇	—	4	8	no	—
141	C₂×#41×C₄₇	—	4	4	no	—
142	C₂×#41×C₄₇	C₂³	1	2	yes	—
143	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
144	C₂×#41×C₄₇	C₂³	1	2	yes	—
145	C₂×#41×C₄₇	C₂³	1	6	yes	—
146	C₂×#41×C₄₇	C₂³	1	3	yes	—
147	C₂×#41×C₄₇	C₂³	1	3	yes	—
148	C₂×#41×C₄₇	C₂³	1	6	yes	—
149	C₂×#41×C₄₇	C₂³	1	6	yes	—
150	C₂×#41×C₄₇	C₂³	1	3	yes	—
151	C₂×#41×C₄₇	C₂³	1	3	yes	—
152	C₂×#41×C₄₇	C₂³	1	6	yes	—
153	C₂²×Q₈×C₄₇	—	4	4	no	—
154	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
155	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
156	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
157	C₂²×Q₈×C₄₇	C₂³	1	6	yes	—
158	C₂²×Q₈×C₄₇	C₂³	1	3	yes	—
159	C₂²×Q₈×C₄₇	C₂³	1	3	yes	—
160	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
161	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
162	C₂²×D₄×C₄₇	C₂³	1	12	yes	—
163	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
164	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
165	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
166	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
167	C₂³×C₄×C₄₇	C₂³	1	3	yes	—
168	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
169	C₂³×C₄×C₄₇	C₂³	1	3	yes	—
170	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
171	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
172	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
173	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
174	#127×C₄₇	C₂³	1	6	yes	—
175	#127×C₄₇	C₂³	1	3	yes	—
176	#127×C₄₇	C₂³	1	6	yes	—
177	#127×C₄₇	C₂³	1	6	yes	—
178	#126×C₄₇	C₂³	1	6	yes	—
179	#126×C₄₇	C₂³	1	2	yes	—
180	#126×C₄₇	C₂³	1	12	yes	—
181	#126×C₄₇	C₂³	1	6	yes	—
182	#126×C₄₇	C₂³	1	6	yes	—
183	#126×C₄₇	C₂³	1	12	yes	—
184	#126×C₄₇	C₂³	1	12	yes	—
185	#126×C₄₇	C₂³	1	12	yes	—
186	#126×C₄₇	C₂³	1	12	yes	—
187	#125×C₄₇	C₂³	1	6	yes	—
188	#125×C₄₇	C₂³	1	6	yes	—
189	#125×C₄₇	C₂³	1	6	yes	—
190	#125×C₄₇	C₂³	1	6	yes	—
191	#125×C₄₇	C₂³	1	12	yes	—
192	#124×C₄₇	C₂³	1	6	yes	—
193	#124×C₄₇	C₂³	1	3	yes	—
194	#124×C₄₇	C₂³	1	6	yes	—
195	#124×C₄₇	C₂³	1	6	yes	—
196	#124×C₄₇	C₂³	1	6	yes	—
197	#124×C₄₇	C₂³	1	6	yes	—
198	#124×C₄₇	C₂³	1	6	yes	—
199	#124×C₄₇	C₂³	1	12	yes	—
200	#124×C₄₇	C₂³	1	12	yes	—
201	#124×C₄₇	C₂³	1	6	yes	—
202	#124×C₄₇	C₂³	1	6	yes	—
203	#124×C₄₇	C₂³	1	6	yes	—
204	#124×C₄₇	C₂³	1	1	yes	characteristic
205	#124×C₄₇	C₂³	1	12	yes	—
206	#124×C₄₇	C₂³	1	6	yes	—
207	#124×C₄₇	C₂³	1	6	yes	—
208	#124×C₄₇	C₂³	1	12	yes	—
209	#123×C₄₇	C₂³	1	3	yes	—
210	#123×C₄₇	C₂³	1	1	yes	characteristic
211	#123×C₄₇	C₂³	1	6	yes	—
212	#123×C₄₇	C₂³	1	3	yes	—
213	#123×C₄₇	C₂³	1	3	yes	—
214	#123×C₄₇	C₂³	1	12	yes	—
215	#123×C₄₇	C₂³	1	12	yes	—
216	#123×C₄₇	C₂³	1	6	yes	—
217	#123×C₄₇	C₂³	1	6	yes	—
218	#123×C₄₇	C₂³	1	6	yes	—
219	#123×C₄₇	C₂³	1	2	yes	—
220	#123×C₄₇	C₂³	1	12	yes	—
221	#123×C₄₇	C₂³	1	12	yes	—
222	#123×C₄₇	C₂³	1	6	yes	—
223	#123×C₄₇	C₂³	1	12	yes	—
224	#123×C₄₇	C₂³	1	6	yes	—
225	#123×C₄₇	C₂³	1	12	yes	—
226	#123×C₄₇	C₂³	1	12	yes	—
227	#123×C₄₇	C₂³	1	12	yes	—
228	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
229	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
230	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
231	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
232	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
233	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
234	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
235	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
236	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
237	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
238	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
239	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
240	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
241	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
242	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
243	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
244	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
245	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
246	#121×C₄₇	C₂³	1	6	yes	—
247	#121×C₄₇	C₂³	1	6	yes	—
248	#121×C₄₇	C₂³	1	6	yes	—
249	#121×C₄₇	C₂³	1	6	yes	—
250	#121×C₄₇	C₂³	1	6	yes	—
251	#121×C₄₇	C₂³	1	6	yes	—
252	#121×C₄₇	C₂³	1	12	yes	—
253	#121×C₄₇	C₂³	1	12	yes	—
254	#121×C₄₇	C₂³	1	6	yes	—
255	#121×C₄₇	C₂³	1	6	yes	—
256	#121×C₄₇	C₂³	1	12	yes	—
257	#121×C₄₇	C₂³	1	6	yes	—
258	#121×C₄₇	C₂³	1	6	yes	—
259	#121×C₄₇	C₂³	1	6	yes	—
260	#121×C₄₇	C₂³	1	6	yes	—
261	#121×C₄₇	C₂³	1	6	yes	—
262	#121×C₄₇	C₂³	1	6	yes	—
263	#121×C₄₇	C₂³	1	6	yes	—
264	#121×C₄₇	C₂³	1	6	yes	—
265	#121×C₄₇	C₂³	1	12	yes	—
266	#121×C₄₇	C₂³	1	12	yes	—
267	#121×C₄₇	C₂³	1	6	yes	—
268	#121×C₄₇	C₂³	1	12	yes	—
269	#121×C₄₇	C₂³	1	6	yes	—
270	#121×C₄₇	C₂³	1	12	yes	—
271	#121×C₄₇	C₂³	1	12	yes	—
272	#121×C₄₇	C₂³	1	12	yes	—
273	#121×C₄₇	C₂³	1	12	yes	—
274	#120×C₄₇	C₂³	1	1	yes	characteristic
275	#120×C₄₇	C₂³	1	3	yes	—
276	#120×C₄₇	C₂³	1	6	yes	—
277	#120×C₄₇	C₂³	1	12	yes	—
278	#120×C₄₇	C₂³	1	3	yes	—
279	#120×C₄₇	C₂³	1	3	yes	—
280	#120×C₄₇	C₂³	1	6	yes	—
281	#120×C₄₇	C₂³	1	12	yes	—
282	#120×C₄₇	C₂³	1	6	yes	—
283	#120×C₄₇	C₂³	1	6	yes	—
284	#120×C₄₇	C₂³	1	12	yes	—
285	#120×C₄₇	C₂³	1	6	yes	—
286	#120×C₄₇	C₂³	1	12	yes	—
287	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
288	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
289	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
290	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
291	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
292	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
293	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
294	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
295	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
296	C₄×D₄×C₄₇	C₂³	1	2	yes	—
297	C₄×D₄×C₄₇	C₂³	1	6	yes	—
298	C₄×D₄×C₄₇	C₂³	1	6	yes	—
299	C₄×D₄×C₄₇	C₂³	1	6	yes	—
300	C₄×D₄×C₄₇	C₂³	1	6	yes	—
301	C₄×D₄×C₄₇	C₂³	1	6	yes	—
302	C₄×D₄×C₄₇	C₂³	1	6	yes	—
303	C₄×D₄×C₄₇	C₂³	1	6	yes	—
304	C₄×D₄×C₄₇	C₂³	1	6	yes	—
305	C₄×D₄×C₄₇	C₂³	1	6	yes	—
306	C₄×D₄×C₄₇	C₂³	1	6	yes	—
307	C₄×D₄×C₄₇	C₂³	1	6	yes	—
308	C₄×D₄×C₄₇	C₂³	1	6	yes	—
309	C₄×D₄×C₄₇	C₂³	1	6	yes	—
310	C₄×D₄×C₄₇	C₂³	1	6	yes	—
311	C₄×D₄×C₄₇	C₂³	1	6	yes	—
312	C₄×D₄×C₄₇	C₂³	1	6	yes	—
313	C₄×D₄×C₄₇	C₂³	1	6	yes	—
314	C₄×D₄×C₄₇	C₂³	1	6	yes	—
315	C₄×D₄×C₄₇	C₂³	1	6	yes	—
316	C₄×D₄×C₄₇	C₂³	1	6	yes	—
317	C₄×D₄×C₄₇	C₂³	1	6	yes	—
318	C₄×D₄×C₄₇	C₂³	1	6	yes	—
319	C₄×D₄×C₄₇	C₂³	1	12	yes	—
320	C₄×D₄×C₄₇	C₂³	1	12	yes	—
321	C₄×D₄×C₄₇	C₂³	1	12	yes	—
322	C₄×D₄×C₄₇	C₂³	1	12	yes	—
323	C₄×D₄×C₄₇	C₂³	1	12	yes	—
324	C₄×D₄×C₄₇	C₂³	1	12	yes	—
325	C₄×D₄×C₄₇	C₂³	1	6	yes	—
326	C₄×D₄×C₄₇	C₂³	1	6	yes	—
327	#117×C₄₇	C₂³	1	2	yes	—
328	#117×C₄₇	C₂³	1	6	yes	—
329	#117×C₄₇	C₂³	1	6	yes	—
330	#117×C₄₇	C₂³	1	6	yes	—
331	#117×C₄₇	C₂³	1	3	yes	—
332	#117×C₄₇	C₂³	1	12	yes	—
333	#117×C₄₇	C₂³	1	12	yes	—
334	#117×C₄₇	C₂³	1	3	yes	—
335	#117×C₄₇	C₂³	1	3	yes	—
336	#117×C₄₇	C₂³	1	3	yes	—
337	#117×C₄₇	C₂³	1	3	yes	—
338	#117×C₄₇	C₂³	1	6	yes	—
339	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
340	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
341	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
342	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
343	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
345	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
346	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
347	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
348	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
349	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
350	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
351	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
352	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
353	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₄₇	C₂⁴	1	6	yes	—
355	C₂⁴×C₄₇	C₂⁴	1	6	yes	—
356	C₂⁴×C₄₇	C₂⁴	1	3	yes	—
357	#41×C₄₇	—	2	8	no	—
358	#41×C₄₇	—	2	8	no	—
359	#41×C₄₇	—	2	4	no	—
360	#41×C₄₇	—	4	6	no	—
361	#41×C₄₇	—	4	6	no	—
362	#41×C₄₇	—	4	12	no	—
363	#41×C₄₇	—	4	12	no	—
364	#41×C₄₇	—	4	12	no	—
365	#41×C₄₇	—	4	12	no	—
366	#41×C₄₇	—	4	6	no	—
367	#41×C₄₇	—	4	6	no	—
368	C₂×Q₈×C₄₇	—	2	8	no	—
369	C₂×Q₈×C₄₇	—	2	4	no	—
370	C₂×Q₈×C₄₇	—	2	4	no	—
371	C₂×Q₈×C₄₇	—	4	12	no	—
372	C₂×Q₈×C₄₇	—	4	6	no	—
373	C₂×Q₈×C₄₇	—	4	6	no	—
374	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
375	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
376	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
377	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
378	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
379	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
380	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
381	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
382	C₂×D₄×C₄₇	—	4	12	no	—
383	C₂×D₄×C₄₇	—	4	6	no	—
384	C₂×D₄×C₄₇	—	4	12	no	—
385	C₂×D₄×C₄₇	—	4	6	no	—
386	C₂×D₄×C₄₇	—	4	12	no	—
387	C₂×D₄×C₄₇	—	4	12	no	—
388	C₂×D₄×C₄₇	—	4	24	no	—
389	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
390	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
391	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
392	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
393	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
394	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
395	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
396	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
397	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
398	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
399	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
400	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
401	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
402	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
403	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
404	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
406	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
407	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
408	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
409	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
410	C₂²×C₄×C₄₇	—	4	6	no	—
411	C₂²×C₄×C₄₇	—	4	12	no	—
412	C₂²×C₄×C₄₇	—	4	6	no	—
413	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
414	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
415	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
416	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
417	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
418	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
419	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
420	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
421	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
422	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
423	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
424	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
425	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
426	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
427	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
428	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
429	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
430	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
431	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
433	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
434	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
435	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
436	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
437	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
438	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
439	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
440	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
441	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
442	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
443	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
444	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
445	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
446	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
447	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
448	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
449	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
450	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
451	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
452	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
453	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
454	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
455	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
456	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
457	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
458	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
459	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
460	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
461	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
462	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
463	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
464	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
465	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
466	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
467	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
468	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
469	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
470	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
471	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
472	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
473	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
474	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
475	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
476	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
477	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
478	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
479	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
480	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
481	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
482	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
483	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
484	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
485	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
486	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
487	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
488	C₄²×C₄₇	C₂⁴	1	2	yes	—
489	C₄²×C₄₇	C₂⁴	1	6	yes	—
490	C₄²×C₄₇	C₂⁴	1	6	yes	—
491	C₄²×C₄₇	C₂⁴	1	6	yes	—
492	C₄²×C₄₇	C₂⁴	1	6	yes	—
493	C₄²×C₄₇	C₂⁴	1	6	yes	—
494	C₄²×C₄₇	C₂⁴	1	3	yes	—
495	C₄²×C₄₇	C₂⁴	1	6	yes	—
496	C₄²×C₄₇	C₂⁴	1	6	yes	—
497	C₄²×C₄₇	C₂⁴	1	6	yes	—
498	C₂³×C₄₇	—	2	4	no	—
499	C₂³×C₄₇	—	2	12	no	—
500	C₂³×C₄₇	—	4	1	no	—
501	C₂³×C₄₇	—	4	6	no	—
502	C₂³×C₄₇	—	4	3	no	—
503	C₂³×C₄₇	—	4	6	no	—
504	C₂³×C₄₇	—	4	6	no	—
505	C₂³×C₄₇	—	4	6	no	—
506	C₂³×C₄₇	—	4	12	no	—
507	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
508	C₂³×C₄₇	C₂⁵	1	6	yes	—
509	C₂³×C₄₇	C₂⁵	1	3	yes	—
510	C₂³×C₄₇	C₂⁵	1	6	yes	—
511	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
512	C₂³×C₄₇	C₂⁵	1	2	yes	—
513	Q₈×C₄₇	—	2	6	no	—
514	Q₈×C₄₇	—	2	12	no	—
515	Q₈×C₄₇	—	2	6	no	—
516	Q₈×C₄₇	—	4	6	no	—
517	Q₈×C₄₇	—	4	3	no	—
518	Q₈×C₄₇	—	4	6	no	—
519	Q₈×C₄₇	—	4	1	no	—
520	Q₈×C₄₇	H(5,𝔽₂)	1	4	yes	—
521	D₄×C₄₇	—	2	4	no	—
522	D₄×C₄₇	—	2	12	no	—
523	D₄×C₄₇	—	2	12	no	—
524	D₄×C₄₇	—	2	12	no	—
525	D₄×C₄₇	—	2	12	no	—
526	D₄×C₄₇	—	2	12	no	—
527	D₄×C₄₇	—	2	6	no	—
528	D₄×C₄₇	—	4	6	no	—
529	D₄×C₄₇	—	4	3	no	—
530	D₄×C₄₇	—	4	6	no	—
531	D₄×C₄₇	—	4	12	no	—
532	D₄×C₄₇	—	4	6	no	—
533	D₄×C₄₇	—	4	6	no	—
534	D₄×C₄₇	—	4	12	no	—
535	D₄×C₄₇	—	4	6	no	—
536	D₄×C₄₇	—	4	6	no	—
537	D₄×C₄₇	—	4	12	no	—
538	D₄×C₄₇	—	4	6	no	—
539	D₄×C₄₇	—	4	1	no	—
540	D₄×C₄₇	—	4	3	no	—
541	D₄×C₄₇	—	4	3	no	—
542	C₂×C₄×C₄₇	—	2	4	no	—
543	C₂×C₄×C₄₇	—	2	12	no	—
544	C₂×C₄×C₄₇	—	2	12	no	—
545	C₂×C₄×C₄₇	—	2	6	no	—
546	C₂×C₄×C₄₇	—	2	12	no	—
547	C₂×C₄×C₄₇	—	2	6	no	—
548	C₂×C₄×C₄₇	—	2	6	no	—
549	C₂×C₄×C₄₇	—	4	1	no	—
550	C₂×C₄×C₄₇	—	4	2	no	—
551	C₂×C₄×C₄₇	—	4	3	no	—
552	C₂×C₄×C₄₇	—	4	6	no	—
553	C₂×C₄×C₄₇	—	4	6	no	—
554	C₂×C₄×C₄₇	—	4	6	no	—
555	C₂×C₄×C₄₇	—	4	6	no	—
556	C₂×C₄×C₄₇	—	4	6	no	—
557	C₂×C₄×C₄₇	—	4	12	no	—
558	C₂×C₄×C₄₇	—	4	6	no	—
559	C₂×C₄×C₄₇	—	4	6	no	—
560	C₂×C₄×C₄₇	—	4	6	no	—
561	C₂×C₄×C₄₇	—	4	6	no	—
562	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
563	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
564	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
565	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
566	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
567	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
568	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
569	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
570	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
571	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
572	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
573	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
574	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
575	#63020	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
576	C₂²×C₄₇	—	2	2	no	—
577	C₂²×C₄₇	—	2	2	no	—
578	C₂²×C₄₇	—	2	1	no	—
579	C₂²×C₄₇	—	2	1	no	—
580	C₂²×C₄₇	—	2	6	no	—
581	C₂²×C₄₇	—	2	3	no	—
582	C₂²×C₄₇	—	2	6	no	—
583	C₂²×C₄₇	—	2	6	no	—
584	C₂²×C₄₇	—	2	6	no	—
585	C₂²×C₄₇	—	2	6	no	—
586	C₂²×C₄₇	—	2	6	no	—
587	C₂²×C₄₇	—	2	2	no	—
588	C₂²×C₄₇	—	2	6	no	—
589	C₂²×C₄₇	—	2	2	no	—
590	C₂²×C₄₇	—	4	4	no	—
591	C₂²×C₄₇	—	8	12	no	—
592	C₂²×C₄₇	—	8	6	no	—
593	C₂²×C₄₇	—	16	6	no	—
594	C₂²×C₄₇	#585	1	4	yes	—
595	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
596	C₄×C₄₇	—	2	2	no	—
597	C₄×C₄₇	—	2	2	no	—
598	C₄×C₄₇	—	2	1	no	—
599	C₄×C₄₇	—	2	3	no	—
600	C₄×C₄₇	—	2	6	no	—
601	C₄×C₄₇	—	2	3	no	—
602	C₄×C₄₇	—	2	2	no	—
603	C₄×C₄₇	—	2	2	no	—
604	C₄×C₄₇	—	2	6	no	—
605	C₄×C₄₇	—	2	2	no	—
606	C₄×C₄₇	—	2	6	no	—
607	C₄×C₄₇	—	2	6	no	—
608	C₄×C₄₇	C₂×H(5,𝔽₂)	1	6	yes	—
609	#3562	C₂×C₄₇	1	6	yes	complemented
610	#3558	C₂×C₄₇	1	6	yes	complemented
611	#3551	C₂×C₄₇	1	3	yes	complemented
612	#3541	C₂×C₄₇	1	6	yes	complemented
613	#3540	C₂×C₄₇	1	3	yes	complemented
614	#3537	C₂×C₄₇	1	3	yes	complemented
615	#3524	C₂×C₄₇	1	2	yes	complemented
616	#3519	C₂×C₄₇	1	6	yes	complemented
617	#3516	C₂×C₄₇	1	2	yes	complemented
618	#3514	C₂×C₄₇	1	6	yes	complemented
619	#3505	C₂×C₄₇	1	6	yes	complemented
620	#3500	C₂×C₄₇	1	1	yes	characteristic, complemented
621	#3488	C₂×C₄₇	1	2	yes	complemented
622	#3487	C₂×C₄₇	1	1	yes	characteristic, complemented
623	#3486	C₂×C₄₇	1	1	yes	characteristic, complemented
624	#3481	C₂×C₄₇	1	3	yes	complemented
625	#3480	C₂×C₄₇	1	2	yes	complemented
626	D₄×#41	C₂×C₄₇	1	2	yes	complemented
627	C₂×#548	C₂×C₄₇	1	2	yes	complemented
628	C₂×C₄₇	—	2	4	no	—
629	C₂×C₄₇	—	4	1	no	—
630	C₂×C₄₇	—	4	6	no	—
631	C₂×C₄₇	—	4	1	no	—
632	C₂×C₄₇	—	4	6	no	—
633	C₂×C₄₇	—	4	3	no	—
634	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
635	C₂×C₄₇	C₂×#585	1	2	yes	—
636	C₂×2₋¹⁺⁴	C₂²×C₄₇	1	1	yes	characteristic, complemented
637	C₂×H(5,𝔽₂)	C₂²×C₄₇	1	1	yes	characteristic, complemented
638	C₂²×#41	C₂²×C₄₇	1	2	yes	complemented
639	C₂²×#41	C₂²×C₄₇	1	1	yes	characteristic, complemented
640	C₂³×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
641	#563	C₂²×C₄₇	1	6	yes	complemented
642	#562	C₂²×C₄₇	1	12	yes	complemented
643	H(3,𝔽₄)	C₂²×C₄₇	1	6	yes	complemented
644	#560	C₂²×C₄₇	1	6	yes	complemented
645	#560	C₂²×C₄₇	1	6	yes	complemented
646	#559	C₂²×C₄₇	1	6	yes	complemented
647	#559	C₂²×C₄₇	1	3	yes	complemented
648	#559	C₂²×C₄₇	1	6	yes	complemented
649	#557	C₂²×C₄₇	1	2	yes	complemented
650	#556	C₂²×C₄₇	1	6	yes	complemented
651	#556	C₂²×C₄₇	1	6	yes	complemented
652	#555	C₂²×C₄₇	1	6	yes	complemented
653	#555	C₂²×C₄₇	1	6	yes	complemented
654	#554	C₂²×C₄₇	1	6	yes	complemented
655	#554	C₂²×C₄₇	1	6	yes	complemented
656	#553	C₂²×C₄₇	1	6	yes	complemented
657	#553	C₂²×C₄₇	1	6	yes	complemented
658	#553	C₂²×C₄₇	1	6	yes	complemented
659	#553	C₂²×C₄₇	1	6	yes	complemented
660	#553	C₂²×C₄₇	1	6	yes	complemented
661	#553	C₂²×C₄₇	1	12	yes	complemented
662	#553	C₂²×C₄₇	1	6	yes	complemented
663	#552	C₂²×C₄₇	1	6	yes	complemented
664	#552	C₂²×C₄₇	1	6	yes	complemented
665	#551	C₂²×C₄₇	1	1	yes	characteristic, complemented
666	#551	C₂²×C₄₇	1	6	yes	complemented
667	#551	C₂²×C₄₇	1	3	yes	complemented
668	#551	C₂²×C₄₇	1	6	yes	complemented
669	#551	C₂²×C₄₇	1	12	yes	complemented
670	#550	C₂²×C₄₇	1	2	yes	complemented
671	#550	C₂²×C₄₇	1	2	yes	complemented
672	#550	C₂²×C₄₇	1	6	yes	complemented
673	D₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
674	D₄×Q₈	C₂²×C₄₇	1	6	yes	complemented
675	#548	C₂²×C₄₇	1	2	yes	complemented
676	#548	C₂²×C₄₇	1	2	yes	complemented
677	#548	C₂²×C₄₇	1	2	yes	complemented
678	#548	C₂²×C₄₇	1	2	yes	complemented
679	#548	C₂²×C₄₇	1	6	yes	complemented
680	#548	C₂²×C₄₇	1	6	yes	complemented
681	#548	C₂²×C₄₇	1	6	yes	complemented
682	#548	C₂²×C₄₇	1	6	yes	complemented
683	#548	C₂²×C₄₇	1	2	yes	complemented
684	#548	C₂²×C₄₇	1	2	yes	complemented
685	#548	C₂²×C₄₇	1	6	yes	complemented
686	#548	C₂²×C₄₇	1	6	yes	complemented
687	#547	C₂²×C₄₇	1	6	yes	complemented
688	#546	C₂²×C₄₇	1	6	yes	complemented
689	#546	C₂²×C₄₇	1	6	yes	complemented
690	#546	C₂²×C₄₇	1	6	yes	complemented
691	#546	C₂²×C₄₇	1	6	yes	complemented
692	#546	C₂²×C₄₇	1	6	yes	complemented
693	#546	C₂²×C₄₇	1	6	yes	complemented
694	#546	C₂²×C₄₇	1	6	yes	complemented
695	#546	C₂²×C₄₇	1	6	yes	complemented
696	#546	C₂²×C₄₇	1	12	yes	complemented
697	D₄²	C₂²×C₄₇	1	6	yes	complemented
698	D₄²	C₂²×C₄₇	1	3	yes	complemented
699	D₄²	C₂²×C₄₇	1	6	yes	complemented
700	D₄²	C₂²×C₄₇	1	6	yes	complemented
701	D₄²	C₂²×C₄₇	1	6	yes	complemented
702	#542	C₂²×C₄₇	1	12	yes	complemented
703	#542	C₂²×C₄₇	1	6	yes	complemented
704	#542	C₂²×C₄₇	1	6	yes	complemented
705	#541	C₂²×C₄₇	1	6	yes	complemented
706	#540	C₂²×C₄₇	1	12	yes	complemented
707	#540	C₂²×C₄₇	1	6	yes	complemented
708	#539	C₂²×C₄₇	1	12	yes	complemented
709	#538	C₂²×C₄₇	1	12	yes	complemented
710	#538	C₂²×C₄₇	1	12	yes	complemented
711	#538	C₂²×C₄₇	1	12	yes	complemented
712	#538	C₂²×C₄₇	1	12	yes	complemented
713	#538	C₂²×C₄₇	1	12	yes	complemented
714	#537	C₂²×C₄₇	1	6	yes	complemented
715	#536	C₂²×C₄₇	1	3	yes	complemented
716	#536	C₂²×C₄₇	1	3	yes	complemented
717	#536	C₂²×C₄₇	1	3	yes	complemented
718	#535	C₂²×C₄₇	1	3	yes	complemented
719	#535	C₂²×C₄₇	1	3	yes	complemented
720	#535	C₂²×C₄₇	1	6	yes	complemented
721	#535	C₂²×C₄₇	1	3	yes	complemented
722	#534	C₂²×C₄₇	1	12	yes	complemented
723	#532	C₂²×C₄₇	1	6	yes	complemented
724	#532	C₂²×C₄₇	1	6	yes	complemented
725	#532	C₂²×C₄₇	1	3	yes	complemented
726	#529	C₂²×C₄₇	1	6	yes	complemented
727	#529	C₂²×C₄₇	1	6	yes	complemented
728	#529	C₂²×C₄₇	1	6	yes	complemented
729	#529	C₂²×C₄₇	1	6	yes	complemented
730	#529	C₂²×C₄₇	1	6	yes	complemented
731	#529	C₂²×C₄₇	1	6	yes	complemented
732	C₂×#124	C₂²×C₄₇	1	6	yes	complemented
733	C₂×#124	C₂²×C₄₇	1	3	yes	complemented
734	#525	C₂²×C₄₇	1	6	yes	complemented
735	#525	C₂²×C₄₇	1	6	yes	complemented
736	#525	C₂²×C₄₇	1	3	yes	complemented
737	#525	C₂²×C₄₇	1	3	yes	complemented
738	#525	C₂²×C₄₇	1	6	yes	complemented
739	#525	C₂²×C₄₇	1	3	yes	complemented
740	#525	C₂²×C₄₇	1	3	yes	complemented
741	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	6	yes	complemented
742	C₂×#121	C₂²×C₄₇	1	6	yes	complemented
743	C₂×#121	C₂²×C₄₇	1	6	yes	complemented
744	#520	C₂²×C₄₇	1	2	yes	complemented
745	#519	C₂²×C₄₇	1	1	yes	characteristic, complemented
746	#519	C₂²×C₄₇	1	1	yes	characteristic, complemented
747	#518	C₂²×C₄₇	1	12	yes	complemented
748	C₄×#41	C₂²×C₄₇	1	2	yes	complemented
749	C₄×#41	C₂²×C₄₇	1	1	yes	characteristic, complemented
750	C₄×#41	C₂²×C₄₇	1	6	yes	complemented
751	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
752	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
753	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
754	C₄₇	#63020	1	1	yes	characteristic, direct product factor, Sylow
755	2₋¹⁺⁴	—	4	4	no	—
756	H(5,𝔽₂)	—	4	4	no	—
757	C₂×#41	—	4	8	no	—
758	C₂×#41	—	4	4	no	—
759	C₂×#41	C₂³×C₄₇	1	2	yes	—
760	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
761	C₂×#41	C₂³×C₄₇	1	2	yes	—
762	C₂×#41	C₂³×C₄₇	1	6	yes	—
763	C₂×#41	C₂³×C₄₇	1	3	yes	—
764	C₂×#41	C₂³×C₄₇	1	3	yes	—
765	C₂×#41	C₂³×C₄₇	1	6	yes	—
766	C₂×#41	C₂³×C₄₇	1	6	yes	—
767	C₂×#41	C₂³×C₄₇	1	3	yes	—
768	C₂×#41	C₂³×C₄₇	1	3	yes	—
769	C₂×#41	C₂³×C₄₇	1	6	yes	—
770	C₂²×Q₈	—	4	4	no	—
771	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
772	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
773	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
774	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
775	C₂²×Q₈	C₂³×C₄₇	1	3	yes	—
776	C₂²×Q₈	C₂³×C₄₇	1	3	yes	—
777	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
778	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
779	C₂²×D₄	C₂³×C₄₇	1	12	yes	—
780	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
781	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
782	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
783	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
784	C₂³×C₄	C₂³×C₄₇	1	3	yes	—
785	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
786	C₂³×C₄	C₂³×C₄₇	1	3	yes	—
787	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
788	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
789	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
790	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
791	#127	C₂³×C₄₇	1	6	yes	—
792	#127	C₂³×C₄₇	1	3	yes	—
793	#127	C₂³×C₄₇	1	6	yes	—
794	#127	C₂³×C₄₇	1	6	yes	—
795	#126	C₂³×C₄₇	1	6	yes	—
796	#126	C₂³×C₄₇	1	2	yes	—
797	#126	C₂³×C₄₇	1	12	yes	—
798	#126	C₂³×C₄₇	1	6	yes	—
799	#126	C₂³×C₄₇	1	6	yes	—
800	#126	C₂³×C₄₇	1	12	yes	—
801	#126	C₂³×C₄₇	1	12	yes	—
802	#126	C₂³×C₄₇	1	12	yes	—
803	#126	C₂³×C₄₇	1	12	yes	—
804	#125	C₂³×C₄₇	1	6	yes	—
805	#125	C₂³×C₄₇	1	6	yes	—
806	#125	C₂³×C₄₇	1	6	yes	—
807	#125	C₂³×C₄₇	1	6	yes	—
808	#125	C₂³×C₄₇	1	12	yes	—
809	#124	C₂³×C₄₇	1	6	yes	—
810	#124	C₂³×C₄₇	1	3	yes	—
811	#124	C₂³×C₄₇	1	6	yes	—
812	#124	C₂³×C₄₇	1	6	yes	—
813	#124	C₂³×C₄₇	1	6	yes	—
814	#124	C₂³×C₄₇	1	6	yes	—
815	#124	C₂³×C₄₇	1	6	yes	—
816	#124	C₂³×C₄₇	1	12	yes	—
817	#124	C₂³×C₄₇	1	12	yes	—
818	#124	C₂³×C₄₇	1	6	yes	—
819	#124	C₂³×C₄₇	1	6	yes	—
820	#124	C₂³×C₄₇	1	6	yes	—
821	#124	C₂³×C₄₇	1	1	yes	characteristic
822	#124	C₂³×C₄₇	1	12	yes	—
823	#124	C₂³×C₄₇	1	6	yes	—
824	#124	C₂³×C₄₇	1	6	yes	—
825	#124	C₂³×C₄₇	1	12	yes	—
826	#123	C₂³×C₄₇	1	3	yes	—
827	#123	C₂³×C₄₇	1	1	yes	characteristic
828	#123	C₂³×C₄₇	1	6	yes	—
829	#123	C₂³×C₄₇	1	3	yes	—
830	#123	C₂³×C₄₇	1	3	yes	—
831	#123	C₂³×C₄₇	1	12	yes	—
832	#123	C₂³×C₄₇	1	12	yes	—
833	#123	C₂³×C₄₇	1	6	yes	—
834	#123	C₂³×C₄₇	1	6	yes	—
835	#123	C₂³×C₄₇	1	6	yes	—
836	#123	C₂³×C₄₇	1	2	yes	—
837	#123	C₂³×C₄₇	1	12	yes	—
838	#123	C₂³×C₄₇	1	12	yes	—
839	#123	C₂³×C₄₇	1	6	yes	—
840	#123	C₂³×C₄₇	1	12	yes	—
841	#123	C₂³×C₄₇	1	6	yes	—
842	#123	C₂³×C₄₇	1	12	yes	—
843	#123	C₂³×C₄₇	1	12	yes	—
844	#123	C₂³×C₄₇	1	12	yes	—
845	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
846	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
847	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
848	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
849	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
850	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
851	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	—
852	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
853	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
854	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
855	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
856	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
857	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
858	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
859	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
860	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
861	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
862	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
863	#121	C₂³×C₄₇	1	6	yes	—
864	#121	C₂³×C₄₇	1	6	yes	—
865	#121	C₂³×C₄₇	1	6	yes	—
866	#121	C₂³×C₄₇	1	6	yes	—
867	#121	C₂³×C₄₇	1	6	yes	—
868	#121	C₂³×C₄₇	1	6	yes	—
869	#121	C₂³×C₄₇	1	12	yes	—
870	#121	C₂³×C₄₇	1	12	yes	—
871	#121	C₂³×C₄₇	1	6	yes	—
872	#121	C₂³×C₄₇	1	6	yes	—
873	#121	C₂³×C₄₇	1	12	yes	—
874	#121	C₂³×C₄₇	1	6	yes	—
875	#121	C₂³×C₄₇	1	6	yes	—
876	#121	C₂³×C₄₇	1	6	yes	—
877	#121	C₂³×C₄₇	1	6	yes	—
878	#121	C₂³×C₄₇	1	6	yes	—
879	#121	C₂³×C₄₇	1	6	yes	—
880	#121	C₂³×C₄₇	1	6	yes	—
881	#121	C₂³×C₄₇	1	6	yes	—
882	#121	C₂³×C₄₇	1	12	yes	—
883	#121	C₂³×C₄₇	1	12	yes	—
884	#121	C₂³×C₄₇	1	6	yes	—
885	#121	C₂³×C₄₇	1	12	yes	—
886	#121	C₂³×C₄₇	1	6	yes	—
887	#121	C₂³×C₄₇	1	12	yes	—
888	#121	C₂³×C₄₇	1	12	yes	—
889	#121	C₂³×C₄₇	1	12	yes	—
890	#121	C₂³×C₄₇	1	12	yes	—
891	#120	C₂³×C₄₇	1	1	yes	characteristic
892	#120	C₂³×C₄₇	1	3	yes	—
893	#120	C₂³×C₄₇	1	6	yes	—
894	#120	C₂³×C₄₇	1	12	yes	—
895	#120	C₂³×C₄₇	1	3	yes	—
896	#120	C₂³×C₄₇	1	3	yes	—
897	#120	C₂³×C₄₇	1	6	yes	—
898	#120	C₂³×C₄₇	1	12	yes	—
899	#120	C₂³×C₄₇	1	6	yes	—
900	#120	C₂³×C₄₇	1	6	yes	—
901	#120	C₂³×C₄₇	1	12	yes	—
902	#120	C₂³×C₄₇	1	6	yes	—
903	#120	C₂³×C₄₇	1	12	yes	—
904	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
905	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
906	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
907	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
908	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
909	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
910	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
911	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
912	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
913	C₄×D₄	C₂³×C₄₇	1	2	yes	—
914	C₄×D₄	C₂³×C₄₇	1	6	yes	—
915	C₄×D₄	C₂³×C₄₇	1	6	yes	—
916	C₄×D₄	C₂³×C₄₇	1	6	yes	—
917	C₄×D₄	C₂³×C₄₇	1	6	yes	—
918	C₄×D₄	C₂³×C₄₇	1	6	yes	—
919	C₄×D₄	C₂³×C₄₇	1	6	yes	—
920	C₄×D₄	C₂³×C₄₇	1	6	yes	—
921	C₄×D₄	C₂³×C₄₇	1	6	yes	—
922	C₄×D₄	C₂³×C₄₇	1	6	yes	—
923	C₄×D₄	C₂³×C₄₇	1	6	yes	—
924	C₄×D₄	C₂³×C₄₇	1	6	yes	—
925	C₄×D₄	C₂³×C₄₇	1	6	yes	—
926	C₄×D₄	C₂³×C₄₇	1	6	yes	—
927	C₄×D₄	C₂³×C₄₇	1	6	yes	—
928	C₄×D₄	C₂³×C₄₇	1	6	yes	—
929	C₄×D₄	C₂³×C₄₇	1	6	yes	—
930	C₄×D₄	C₂³×C₄₇	1	6	yes	—
931	C₄×D₄	C₂³×C₄₇	1	6	yes	—
932	C₄×D₄	C₂³×C₄₇	1	6	yes	—
933	C₄×D₄	C₂³×C₄₇	1	6	yes	—
934	C₄×D₄	C₂³×C₄₇	1	6	yes	—
935	C₄×D₄	C₂³×C₄₇	1	6	yes	—
936	C₄×D₄	C₂³×C₄₇	1	12	yes	—
937	C₄×D₄	C₂³×C₄₇	1	12	yes	—
938	C₄×D₄	C₂³×C₄₇	1	12	yes	—
939	C₄×D₄	C₂³×C₄₇	1	12	yes	—
940	C₄×D₄	C₂³×C₄₇	1	12	yes	—
941	C₄×D₄	C₂³×C₄₇	1	12	yes	—
942	C₄×D₄	C₂³×C₄₇	1	6	yes	—
943	C₄×D₄	C₂³×C₄₇	1	6	yes	—
944	#117	C₂³×C₄₇	1	2	yes	—
945	#117	C₂³×C₄₇	1	6	yes	—
946	#117	C₂³×C₄₇	1	6	yes	—
947	#117	C₂³×C₄₇	1	6	yes	—
948	#117	C₂³×C₄₇	1	3	yes	—
949	#117	C₂³×C₄₇	1	12	yes	—
950	#117	C₂³×C₄₇	1	12	yes	—
951	#117	C₂³×C₄₇	1	3	yes	—
952	#117	C₂³×C₄₇	1	3	yes	—
953	#117	C₂³×C₄₇	1	3	yes	—
954	#117	C₂³×C₄₇	1	3	yes	—
955	#117	C₂³×C₄₇	1	6	yes	—
956	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
957	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
958	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
959	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
960	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
961	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
962	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
963	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
964	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
965	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
966	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
967	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
968	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
969	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
970	C₂⁴	C₂⁴×C₄₇	1	1	yes	characteristic
971	C₂⁴	C₂⁴×C₄₇	1	6	yes	—
972	C₂⁴	C₂⁴×C₄₇	1	6	yes	—
973	C₂⁴	C₂⁴×C₄₇	1	3	yes	—
974	#41	—	2	8	no	—
975	#41	—	2	8	no	—
976	#41	—	2	4	no	—
977	#41	—	4	6	no	—
978	#41	—	4	6	no	—
979	#41	—	4	12	no	—
980	#41	—	4	12	no	—
981	#41	—	4	12	no	—
982	#41	—	4	12	no	—
983	#41	—	4	6	no	—
984	#41	—	4	6	no	—
985	C₂×Q₈	—	2	8	no	—
986	C₂×Q₈	—	2	4	no	—
987	C₂×Q₈	—	2	4	no	—
988	C₂×Q₈	—	4	12	no	—
989	C₂×Q₈	—	4	6	no	—
990	C₂×Q₈	—	4	6	no	—
991	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
992	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
993	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
994	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
995	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
996	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
997	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
998	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
999	C₂×D₄	—	4	12	no	—
1000	C₂×D₄	—	4	6	no	—
1001	C₂×D₄	—	4	12	no	—
1002	C₂×D₄	—	4	6	no	—
1003	C₂×D₄	—	4	12	no	—
1004	C₂×D₄	—	4	12	no	—
1005	C₂×D₄	—	4	24	no	—
1006	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1007	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1008	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1009	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1010	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1011	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1012	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1013	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1014	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1015	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
1016	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1017	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1018	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
1019	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1020	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1021	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
1022	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
1023	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1024	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1025	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1026	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1027	C₂²×C₄	—	4	6	no	—
1028	C₂²×C₄	—	4	12	no	—
1029	C₂²×C₄	—	4	6	no	—
1030	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1031	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1032	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1033	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1034	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1035	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1036	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1037	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1038	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1039	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1040	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1041	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1042	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1043	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1044	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1045	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
1046	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1047	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1048	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1050	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1051	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1052	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1053	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1054	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1055	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1056	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1057	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1058	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1059	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1060	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1061	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1062	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1063	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1064	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1065	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1066	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1067	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1068	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1069	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1070	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1071	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1072	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1073	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1074	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1075	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1076	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1077	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1078	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1079	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1080	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1081	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1082	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1083	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1084	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1085	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1086	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1087	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1088	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1089	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1090	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1091	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1092	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1093	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1094	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1095	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1096	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1097	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1098	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1099	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1100	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1101	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1102	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1103	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1104	C₄²	C₂⁴×C₄₇	1	1	yes	characteristic
1105	C₄²	C₂⁴×C₄₇	1	2	yes	—
1106	C₄²	C₂⁴×C₄₇	1	6	yes	—
1107	C₄²	C₂⁴×C₄₇	1	6	yes	—
1108	C₄²	C₂⁴×C₄₇	1	6	yes	—
1109	C₄²	C₂⁴×C₄₇	1	6	yes	—
1110	C₄²	C₂⁴×C₄₇	1	6	yes	—
1111	C₄²	C₂⁴×C₄₇	1	3	yes	—
1112	C₄²	C₂⁴×C₄₇	1	6	yes	—
1113	C₄²	C₂⁴×C₄₇	1	6	yes	—
1114	C₄²	C₂⁴×C₄₇	1	6	yes	—
1115	C₂³	—	2	4	no	—
1116	C₂³	—	2	12	no	—
1117	C₂³	—	4	1	no	—
1118	C₂³	—	4	6	no	—
1119	C₂³	—	4	3	no	—
1120	C₂³	—	4	6	no	—
1121	C₂³	—	4	6	no	—
1122	C₂³	—	4	6	no	—
1123	C₂³	—	4	12	no	—
1124	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1125	C₂³	C₂⁵×C₄₇	1	6	yes	—
1126	C₂³	C₂⁵×C₄₇	1	3	yes	—
1127	C₂³	C₂⁵×C₄₇	1	6	yes	—
1128	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1129	C₂³	C₂⁵×C₄₇	1	2	yes	—
1130	Q₈	—	2	6	no	—
1131	Q₈	—	2	12	no	—
1132	Q₈	—	2	6	no	—
1133	Q₈	—	4	6	no	—
1134	Q₈	—	4	3	no	—
1135	Q₈	—	4	6	no	—
1136	Q₈	—	4	1	no	—
1137	Q₈	H(5,𝔽₂)×C₄₇	1	4	yes	—
1138	D₄	—	2	4	no	—
1139	D₄	—	2	12	no	—
1140	D₄	—	2	12	no	—
1141	D₄	—	2	12	no	—
1142	D₄	—	2	12	no	—
1143	D₄	—	2	12	no	—
1144	D₄	—	2	6	no	—
1145	D₄	—	4	6	no	—
1146	D₄	—	4	3	no	—
1147	D₄	—	4	6	no	—
1148	D₄	—	4	12	no	—
1149	D₄	—	4	6	no	—
1150	D₄	—	4	6	no	—
1151	D₄	—	4	12	no	—
1152	D₄	—	4	6	no	—
1153	D₄	—	4	6	no	—
1154	D₄	—	4	12	no	—
1155	D₄	—	4	6	no	—
1156	D₄	—	4	1	no	—
1157	D₄	—	4	3	no	—
1158	D₄	—	4	3	no	—
1159	C₂×C₄	—	2	4	no	—
1160	C₂×C₄	—	2	12	no	—
1161	C₂×C₄	—	2	12	no	—
1162	C₂×C₄	—	2	6	no	—
1163	C₂×C₄	—	2	12	no	—
1164	C₂×C₄	—	2	6	no	—
1165	C₂×C₄	—	2	6	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	2	no	—
1168	C₂×C₄	—	4	3	no	—
1169	C₂×C₄	—	4	6	no	—
1170	C₂×C₄	—	4	6	no	—
1171	C₂×C₄	—	4	6	no	—
1172	C₂×C₄	—	4	6	no	—
1173	C₂×C₄	—	4	6	no	—
1174	C₂×C₄	—	4	12	no	—
1175	C₂×C₄	—	4	6	no	—
1176	C₂×C₄	—	4	6	no	—
1177	C₂×C₄	—	4	6	no	—
1178	C₂×C₄	—	4	6	no	—
1179	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1180	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1181	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1182	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1183	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1184	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1185	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1186	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1187	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1188	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1189	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1190	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1191	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1192	C₂²	—	2	2	no	—
1193	C₂²	—	2	2	no	—
1194	C₂²	—	2	1	no	—
1195	C₂²	—	2	1	no	—
1196	C₂²	—	2	6	no	—
1197	C₂²	—	2	3	no	—
1198	C₂²	—	2	6	no	—
1199	C₂²	—	2	6	no	—
1200	C₂²	—	2	6	no	—
1201	C₂²	—	2	6	no	—
1202	C₂²	—	2	6	no	—
1203	C₂²	—	2	2	no	—
1204	C₂²	—	2	6	no	—
1205	C₂²	—	2	2	no	—
1206	C₂²	—	4	4	no	—
1207	C₂²	—	8	12	no	—
1208	C₂²	—	8	6	no	—
1209	C₂²	—	16	6	no	—
1210	C₂²	C₄₇×#585	1	4	yes	—
1211	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
1212	C₄	—	2	2	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	1	no	—
1215	C₄	—	2	3	no	—
1216	C₄	—	2	6	no	—
1217	C₄	—	2	3	no	—
1218	C₄	—	2	2	no	—
1219	C₄	—	2	2	no	—
1220	C₄	—	2	6	no	—
1221	C₄	—	2	2	no	—
1222	C₄	—	2	6	no	—
1223	C₄	—	2	6	no	—
1224	C₄	C₂×H(5,𝔽₂)×C₄₇	1	6	yes	—
1225	C₂	—	2	4	no	—
1226	C₂	—	4	1	no	—
1227	C₂	—	4	1	no	—
1228	C₂	—	4	6	no	—
1229	C₂	—	4	6	no	—
1230	C₂	—	4	3	no	—
1231	C₂	C₂²×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
1232	C₂	C₂×C₄₇×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₄₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₄₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₇×#3562	C₂	semidirect
2. C₄₇×#3558	C₂	semidirect
3. C₄₇×#3551	C₂	semidirect
4. C₄₇×#3541	C₂	semidirect
5. C₄₇×#3540	C₂	semidirect
6. C₄₇×#3537	C₂	semidirect
7. C₄₇×#3524	C₂	semidirect
8. C₄₇×#3519	C₂	semidirect
9. C₄₇×#3516	C₂	semidirect
10. C₄₇×#3514	C₂	semidirect
11. C₄₇×#3505	C₂	semidirect
12. C₄₇×#3500	C₂	semidirect
13. C₄₇×#3488	C₂	semidirect
14. C₄₇×#3487	C₂	semidirect
15. C₄₇×#3486	C₂	semidirect
16. C₄₇×#3481	C₂	semidirect
17. C₄₇×#3480	C₂	semidirect
18. D₄×#41×C₄₇	C₂	semidirect
19. C₂×C₄₇×#548	C₂	semidirect
20. C₂×2₋¹⁺⁴×C₄₇	C₂²	semidirect
21. C₂×H(5,𝔽₂)×C₄₇	C₂²	semidirect
22. C₂²×#41×C₄₇	C₂²	semidirect
23. C₂²×#41×C₄₇	C₂²	semidirect
24. C₂³×Q₈×C₄₇	C₂²	semidirect
25. C₄₇×#563	C₂²	semidirect
26. C₄₇×#562	C₂²	semidirect
27. C₄₇×H(3,𝔽₄)	C₂²	semidirect
28. C₄₇×#560	C₂²	semidirect
29. C₄₇×#560	C₂²	semidirect
30. C₄₇×#559	C₂²	semidirect
31. C₄₇×#559	C₂²	semidirect
32. C₄₇×#559	C₂²	semidirect
33. C₄₇×#557	C₂²	semidirect
34. C₄₇×#556	C₂²	semidirect
35. C₄₇×#556	C₂²	semidirect
36. C₄₇×#555	C₂²	semidirect
37. C₄₇×#555	C₂²	semidirect
38. C₄₇×#554	C₂²	semidirect
39. C₄₇×#554	C₂²	semidirect
40. C₄₇×#553	C₂²	semidirect
41. C₄₇×#553	C₂²	semidirect
42. C₄₇×#553	C₂²	semidirect
43. C₄₇×#553	C₂²	semidirect
44. C₄₇×#553	C₂²	semidirect
45. C₄₇×#553	C₂²	semidirect
46. C₄₇×#553	C₂²	semidirect
47. C₄₇×#552	C₂²	semidirect
48. C₄₇×#552	C₂²	semidirect
49. C₄₇×#551	C₂²	semidirect
50. C₄₇×#551	C₂²	semidirect
51. C₄₇×#551	C₂²	semidirect
52. C₄₇×#551	C₂²	semidirect
53. C₄₇×#551	C₂²	semidirect
54. C₄₇×#550	C₂²	semidirect
55. C₄₇×#550	C₂²	semidirect
56. C₄₇×#550	C₂²	semidirect
57. D₄×Q₈×C₄₇	C₂²	semidirect
58. D₄×Q₈×C₄₇	C₂²	semidirect
59. C₄₇×#548	C₂²	semidirect
60. C₄₇×#548	C₂²	semidirect
61. C₄₇×#548	C₂²	semidirect
62. C₄₇×#548	C₂²	semidirect
63. C₄₇×#548	C₂²	semidirect
64. C₄₇×#548	C₂²	semidirect
65. C₄₇×#548	C₂²	semidirect
66. C₄₇×#548	C₂²	semidirect
67. C₄₇×#548	C₂²	semidirect
68. C₄₇×#548	C₂²	semidirect
69. C₄₇×#548	C₂²	semidirect
70. C₄₇×#548	C₂²	semidirect
71. C₄₇×#547	C₂²	semidirect
72. C₄₇×#546	C₂²	semidirect
73. C₄₇×#546	C₂²	semidirect
74. C₄₇×#546	C₂²	semidirect
75. C₄₇×#546	C₂²	semidirect
76. C₄₇×#546	C₂²	semidirect
77. C₄₇×#546	C₂²	semidirect
78. C₄₇×#546	C₂²	semidirect
79. C₄₇×#546	C₂²	semidirect
80. C₄₇×#546	C₂²	semidirect
81. D₄²×C₄₇	C₂²	semidirect
82. D₄²×C₄₇	C₂²	semidirect
83. D₄²×C₄₇	C₂²	semidirect
84. D₄²×C₄₇	C₂²	semidirect
85. D₄²×C₄₇	C₂²	semidirect
86. C₄₇×#542	C₂²	semidirect
87. C₄₇×#542	C₂²	semidirect
88. C₄₇×#542	C₂²	semidirect
89. C₄₇×#541	C₂²	semidirect
90. C₄₇×#540	C₂²	semidirect
91. C₄₇×#540	C₂²	semidirect
92. C₄₇×#539	C₂²	semidirect
93. C₄₇×#538	C₂²	semidirect
94. C₄₇×#538	C₂²	semidirect
95. C₄₇×#538	C₂²	semidirect
96. C₄₇×#538	C₂²	semidirect
97. C₄₇×#538	C₂²	semidirect
98. C₄₇×#537	C₂²	semidirect
99. C₄₇×#536	C₂²	semidirect
100. C₄₇×#536	C₂²	semidirect
101. C₄₇×#536	C₂²	semidirect
102. C₄₇×#535	C₂²	semidirect
103. C₄₇×#535	C₂²	semidirect
104. C₄₇×#535	C₂²	semidirect
105. C₄₇×#535	C₂²	semidirect
106. C₄₇×#534	C₂²	semidirect
107. C₄₇×#532	C₂²	semidirect
108. C₄₇×#532	C₂²	semidirect
109. C₄₇×#532	C₂²	semidirect
110. C₄₇×#529	C₂²	semidirect
111. C₄₇×#529	C₂²	semidirect
112. C₄₇×#529	C₂²	semidirect
113. C₄₇×#529	C₂²	semidirect
114. C₄₇×#529	C₂²	semidirect
115. C₄₇×#529	C₂²	semidirect
116. C₂×#124×C₄₇	C₂²	semidirect
117. C₂×#124×C₄₇	C₂²	semidirect
118. C₄₇×#525	C₂²	semidirect
119. C₄₇×#525	C₂²	semidirect
120. C₄₇×#525	C₂²	semidirect
121. C₄₇×#525	C₂²	semidirect
122. C₄₇×#525	C₂²	semidirect
123. C₄₇×#525	C₂²	semidirect
124. C₄₇×#525	C₂²	semidirect
125. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
126. C₂×#121×C₄₇	C₂²	semidirect
127. C₂×#121×C₄₇	C₂²	semidirect
128. C₄₇×#520	C₂²	semidirect
129. C₄₇×#519	C₂²	semidirect
130. C₄₇×#519	C₂²	semidirect
131. C₄₇×#518	C₂²	semidirect
132. C₄×#41×C₄₇	C₂²	semidirect
133. C₄×#41×C₄₇	C₂²	semidirect
134. C₄×#41×C₄₇	C₂²	semidirect
135. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
136. C₂×C₄×D₄×C₄₇	C₂²	semidirect
137. C₂×C₄×D₄×C₄₇	C₂²	semidirect
575. #63020	C₄₇	direct (N × H)
609. #3562	C₂×C₄₇	semidirect
610. #3558	C₂×C₄₇	semidirect
611. #3551	C₂×C₄₇	semidirect
612. #3541	C₂×C₄₇	semidirect
613. #3540	C₂×C₄₇	semidirect
614. #3537	C₂×C₄₇	semidirect
615. #3524	C₂×C₄₇	semidirect
616. #3519	C₂×C₄₇	semidirect
617. #3516	C₂×C₄₇	semidirect
618. #3514	C₂×C₄₇	semidirect
619. #3505	C₂×C₄₇	semidirect
620. #3500	C₂×C₄₇	semidirect
621. #3488	C₂×C₄₇	semidirect
622. #3487	C₂×C₄₇	semidirect
623. #3486	C₂×C₄₇	semidirect
624. #3481	C₂×C₄₇	semidirect
625. #3480	C₂×C₄₇	semidirect
626. D₄×#41	C₂×C₄₇	semidirect
627. C₂×#548	C₂×C₄₇	semidirect
636. C₂×2₋¹⁺⁴	C₂²×C₄₇	semidirect
637. C₂×H(5,𝔽₂)	C₂²×C₄₇	semidirect
638. C₂²×#41	C₂²×C₄₇	semidirect
639. C₂²×#41	C₂²×C₄₇	semidirect
640. C₂³×Q₈	C₂²×C₄₇	semidirect
641. #563	C₂²×C₄₇	semidirect
642. #562	C₂²×C₄₇	semidirect
643. H(3,𝔽₄)	C₂²×C₄₇	semidirect
644. #560	C₂²×C₄₇	semidirect
645. #560	C₂²×C₄₇	semidirect
646. #559	C₂²×C₄₇	semidirect
647. #559	C₂²×C₄₇	semidirect
648. #559	C₂²×C₄₇	semidirect
649. #557	C₂²×C₄₇	semidirect
650. #556	C₂²×C₄₇	semidirect
651. #556	C₂²×C₄₇	semidirect
652. #555	C₂²×C₄₇	semidirect
653. #555	C₂²×C₄₇	semidirect
654. #554	C₂²×C₄₇	semidirect
655. #554	C₂²×C₄₇	semidirect
656. #553	C₂²×C₄₇	semidirect
657. #553	C₂²×C₄₇	semidirect
658. #553	C₂²×C₄₇	semidirect
659. #553	C₂²×C₄₇	semidirect
660. #553	C₂²×C₄₇	semidirect
661. #553	C₂²×C₄₇	semidirect
662. #553	C₂²×C₄₇	semidirect
663. #552	C₂²×C₄₇	semidirect
664. #552	C₂²×C₄₇	semidirect
665. #551	C₂²×C₄₇	semidirect
666. #551	C₂²×C₄₇	semidirect
667. #551	C₂²×C₄₇	semidirect
668. #551	C₂²×C₄₇	semidirect
669. #551	C₂²×C₄₇	semidirect
670. #550	C₂²×C₄₇	semidirect
671. #550	C₂²×C₄₇	semidirect
672. #550	C₂²×C₄₇	semidirect
673. D₄×Q₈	C₂²×C₄₇	semidirect
674. D₄×Q₈	C₂²×C₄₇	semidirect
675. #548	C₂²×C₄₇	semidirect
676. #548	C₂²×C₄₇	semidirect
677. #548	C₂²×C₄₇	semidirect
678. #548	C₂²×C₄₇	semidirect
679. #548	C₂²×C₄₇	semidirect
680. #548	C₂²×C₄₇	semidirect
681. #548	C₂²×C₄₇	semidirect
682. #548	C₂²×C₄₇	semidirect
683. #548	C₂²×C₄₇	semidirect
684. #548	C₂²×C₄₇	semidirect
685. #548	C₂²×C₄₇	semidirect
686. #548	C₂²×C₄₇	semidirect
687. #547	C₂²×C₄₇	semidirect
688. #546	C₂²×C₄₇	semidirect
689. #546	C₂²×C₄₇	semidirect
690. #546	C₂²×C₄₇	semidirect
691. #546	C₂²×C₄₇	semidirect
692. #546	C₂²×C₄₇	semidirect
693. #546	C₂²×C₄₇	semidirect
694. #546	C₂²×C₄₇	semidirect
695. #546	C₂²×C₄₇	semidirect
696. #546	C₂²×C₄₇	semidirect
697. D₄²	C₂²×C₄₇	semidirect
698. D₄²	C₂²×C₄₇	semidirect
699. D₄²	C₂²×C₄₇	semidirect
700. D₄²	C₂²×C₄₇	semidirect
701. D₄²	C₂²×C₄₇	semidirect
702. #542	C₂²×C₄₇	semidirect
703. #542	C₂²×C₄₇	semidirect
704. #542	C₂²×C₄₇	semidirect
705. #541	C₂²×C₄₇	semidirect
706. #540	C₂²×C₄₇	semidirect
707. #540	C₂²×C₄₇	semidirect
708. #539	C₂²×C₄₇	semidirect
709. #538	C₂²×C₄₇	semidirect
710. #538	C₂²×C₄₇	semidirect
711. #538	C₂²×C₄₇	semidirect
712. #538	C₂²×C₄₇	semidirect
713. #538	C₂²×C₄₇	semidirect
714. #537	C₂²×C₄₇	semidirect
715. #536	C₂²×C₄₇	semidirect
716. #536	C₂²×C₄₇	semidirect
717. #536	C₂²×C₄₇	semidirect
718. #535	C₂²×C₄₇	semidirect
719. #535	C₂²×C₄₇	semidirect
720. #535	C₂²×C₄₇	semidirect
721. #535	C₂²×C₄₇	semidirect
722. #534	C₂²×C₄₇	semidirect
723. #532	C₂²×C₄₇	semidirect
724. #532	C₂²×C₄₇	semidirect
725. #532	C₂²×C₄₇	semidirect
726. #529	C₂²×C₄₇	semidirect
727. #529	C₂²×C₄₇	semidirect
728. #529	C₂²×C₄₇	semidirect
729. #529	C₂²×C₄₇	semidirect
730. #529	C₂²×C₄₇	semidirect
731. #529	C₂²×C₄₇	semidirect
732. C₂×#124	C₂²×C₄₇	semidirect
733. C₂×#124	C₂²×C₄₇	semidirect
734. #525	C₂²×C₄₇	semidirect
735. #525	C₂²×C₄₇	semidirect
736. #525	C₂²×C₄₇	semidirect
737. #525	C₂²×C₄₇	semidirect
738. #525	C₂²×C₄₇	semidirect
739. #525	C₂²×C₄₇	semidirect
740. #525	C₂²×C₄₇	semidirect
741. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
742. C₂×#121	C₂²×C₄₇	semidirect
743. C₂×#121	C₂²×C₄₇	semidirect
744. #520	C₂²×C₄₇	semidirect
745. #519	C₂²×C₄₇	semidirect
746. #519	C₂²×C₄₇	semidirect
747. #518	C₂²×C₄₇	semidirect
748. C₄×#41	C₂²×C₄₇	semidirect
749. C₄×#41	C₂²×C₄₇	semidirect
750. C₄×#41	C₂²×C₄₇	semidirect
751. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
752. C₂×C₄×D₄	C₂²×C₄₇	semidirect
753. C₂×C₄×D₄	C₂²×C₄₇	semidirect
754. C₄₇	#63020	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₇×#3562	2
C₄₇×#3558	2
C₄₇×#3551	2
C₄₇×#3541	2
C₄₇×#3540	2
C₄₇×#3537	2
C₄₇×#3524	2
C₄₇×#3519	2
C₄₇×#3516	2
C₄₇×#3514	2
C₄₇×#3505	2
C₄₇×#3500	2
C₄₇×#3488	2
C₄₇×#3487	2
C₄₇×#3486	2
C₄₇×#3481	2
C₄₇×#3480	2
D₄×#41×C₄₇	2
C₂×C₄₇×#548	2
#63020	47

Subgroups — C47×#63020 #26102718

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#63020 #26102718