Subgroups — C₄₇×#63000 #26102698

Order 12032.

7170 conjugacy classes of subgroups.

The subgroup lattice has 922 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3522	C₂	1	2	yes	maximal, complemented
2	C₄₇×#3520	C₂	1	12	yes	maximal, complemented
3	C₄₇×#3516	C₂	1	4	yes	maximal, complemented
4	C₄₇×#3515	C₂	1	6	yes	maximal, complemented
5	C₄₇×#3511	C₂	1	3	yes	maximal, complemented
6	C₄₇×#3507	C₂	1	3	yes	maximal, complemented
7	C₄₇×#3503	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₇×#3495	C₂	1	6	yes	maximal, complemented
9	C₄₇×#3492	C₂	1	6	yes	maximal, complemented
10	C₄₇×#3489	C₂	1	2	yes	maximal, complemented
11	C₄₇×#3481	C₂	1	6	yes	maximal, complemented
12	Q₈×#41×C₄₇	C₂	1	2	yes	maximal, complemented
13	C₄₇×#3475	C₂	1	3	yes	maximal, complemented
14	C₂×C₄₇×#554	C₂	1	3	yes	maximal, complemented
15	D₄×#41×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×2₋¹⁺⁴×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄₇×#520	C₂	1	2	yes	maximal, complemented
18	C₂×2₋¹⁺⁴×C₄₇	C₂²	1	1	yes	characteristic
19	C₂²×#41×C₄₇	C₂²	1	2	yes	—
20	C₄₇×#559	C₂²	1	6	yes	complemented
21	Q₈²×C₄₇	C₂²	1	2	yes	complemented
22	C₄₇×#557	C₂²	1	6	yes	complemented
23	C₄₇×#557	C₂²	1	2	yes	complemented
24	C₄₇×#556	C₂²	1	3	yes	complemented
25	C₄₇×#556	C₂²	1	6	yes	complemented
26	C₄₇×#556	C₂²	1	12	yes	complemented
27	C₄₇×#555	C₂²	1	3	yes	complemented
28	C₄₇×#554	C₂²	1	3	yes	—
29	C₄₇×#554	C₂²	1	6	yes	—
30	C₄₇×#554	C₂²	1	12	yes	complemented
31	C₄₇×#554	C₂²	1	6	yes	complemented
32	C₄₇×#554	C₂²	1	6	yes	complemented
33	C₄₇×#554	C₂²	1	12	yes	complemented
34	C₄₇×#554	C₂²	1	12	yes	complemented
35	C₄₇×#554	C₂²	1	6	yes	complemented
36	C₄₇×#553	C₂²	1	6	yes	complemented
37	C₄₇×#553	C₂²	1	12	yes	complemented
38	C₄₇×#553	C₂²	1	12	yes	complemented
39	C₄₇×#552	C₂²	1	6	yes	complemented
40	C₄₇×#552	C₂²	1	6	yes	complemented
41	C₄₇×#552	C₂²	1	12	yes	complemented
42	C₄₇×#552	C₂²	1	12	yes	complemented
43	C₄₇×#552	C₂²	1	24	yes	complemented
44	C₄₇×#551	C₂²	1	12	yes	complemented
45	C₄₇×#551	C₂²	1	24	yes	complemented
46	C₄₇×#550	C₂²	1	1	yes	characteristic
47	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
48	D₄×Q₈×C₄₇	C₂²	1	4	yes	complemented
49	D₄×Q₈×C₄₇	C₂²	1	6	yes	complemented
50	C₄₇×#548	C₂²	1	2	yes	—
51	C₄₇×#548	C₂²	1	4	yes	complemented
52	C₄₇×#548	C₂²	1	12	yes	complemented
53	C₄₇×#547	C₂²	1	3	yes	—
54	C₄₇×#547	C₂²	1	1	yes	characteristic
55	C₄₇×#547	C₂²	1	12	yes	complemented
56	C₄₇×#547	C₂²	1	6	yes	complemented
57	C₄₇×#547	C₂²	1	12	yes	complemented
58	C₄₇×#546	C₂²	1	6	yes	—
59	C₄₇×#546	C₂²	1	6	yes	—
60	C₄₇×#546	C₂²	1	12	yes	complemented
61	D₄²×C₄₇	C₂²	1	3	yes	—
62	C₄₇×#544	C₂²	1	6	yes	complemented
63	C₄₇×#542	C₂²	1	12	yes	complemented
64	C₄₇×#542	C₂²	1	12	yes	complemented
65	C₄₇×#541	C₂²	1	12	yes	complemented
66	C₄₇×#539	C₂²	1	24	yes	complemented
67	C₄₇×#539	C₂²	1	12	yes	complemented
68	C₄₇×#537	C₂²	1	6	yes	complemented
69	C₄₇×#536	C₂²	1	6	yes	complemented
70	C₄₇×#533	C₂²	1	3	yes	complemented
71	C₄₇×#533	C₂²	1	12	yes	complemented
72	C₄₇×#533	C₂²	1	6	yes	complemented
73	C₄₇×#532	C₂²	1	3	yes	—
74	C₄₇×#532	C₂²	1	6	yes	complemented
75	C₂×C₄⋊Q₈×C₄₇	C₂²	1	3	yes	complemented
76	C₄₇×#529	C₂²	1	6	yes	complemented
77	C₄₇×#529	C₂²	1	12	yes	complemented
78	C₄₇×#529	C₂²	1	12	yes	complemented
79	C₄₇×#529	C₂²	1	12	yes	complemented
80	C₂×#125×C₄₇	C₂²	1	6	yes	complemented
81	C₄₇×#525	C₂²	1	6	yes	—
82	C₄₇×#525	C₂²	1	6	yes	complemented
83	C₄₇×#525	C₂²	1	24	yes	complemented
84	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	6	yes	complemented
85	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	12	yes	complemented
86	C₄₇×#520	C₂²	1	1	yes	characteristic
87	C₄₇×#520	C₂²	1	2	yes	—
88	C₄₇×#520	C₂²	1	6	yes	complemented
89	C₄₇×#520	C₂²	1	6	yes	complemented
90	C₄₇×#520	C₂²	1	12	yes	complemented
91	C₄₇×#520	C₂²	1	4	yes	complemented
92	C₄₇×#520	C₂²	1	3	yes	complemented
93	C₄₇×#520	C₂²	1	6	yes	complemented
94	C₄₇×#519	C₂²	1	3	yes	complemented
95	C₄₇×#519	C₂²	1	2	yes	complemented
96	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
97	C₄×#41×C₄₇	C₂²	1	6	yes	—
98	C₄×#41×C₄₇	C₂²	1	3	yes	complemented
99	C₄×#41×C₄₇	C₂²	1	6	yes	complemented
100	C₂×C₄×Q₈×C₄₇	C₂²	1	4	yes	complemented
101	C₂×C₄×Q₈×C₄₇	C₂²	1	3	yes	complemented
102	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
103	C₂×C₄×D₄×C₄₇	C₂²	1	3	yes	—
104	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	—
105	C₂×C₄×D₄×C₄₇	C₂²	1	12	yes	complemented
106	C₂×#117×C₄₇	C₂²	1	6	yes	complemented
107	C₂²×C₄⋊C₄×C₄₇	C₂²	1	6	yes	complemented
108	2₋¹⁺⁴×C₄₇	—	2	8	no	—
109	C₂×#41×C₄₇	—	2	16	no	—
110	C₂×#41×C₄₇	C₂³	1	2	yes	—
111	C₂×#41×C₄₇	C₂³	1	3	yes	—
112	C₂×#41×C₄₇	C₂³	1	6	yes	—
113	C₂×#41×C₄₇	C₂³	1	6	yes	—
114	C₂×#41×C₄₇	C₂³	1	6	yes	—
115	C₂×#41×C₄₇	C₂³	1	2	yes	—
116	C₂×#41×C₄₇	C₂³	1	12	yes	—
117	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
118	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
119	C₂²×Q₈×C₄₇	C₂³	1	3	yes	—
120	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
121	C₂²×Q₈×C₄₇	C₂³	1	6	yes	—
122	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
123	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
124	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
125	C₂³×C₄×C₄₇	C₂³	1	12	yes	—
126	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
127	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
128	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
129	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
130	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
131	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
132	C₄⋊Q₈×C₄₇	C₂³	1	12	yes	—
133	C₄⋊Q₈×C₄₇	C₂³	1	12	yes	—
134	#127×C₄₇	C₂³	1	3	yes	—
135	#126×C₄₇	C₂³	1	12	yes	—
136	#126×C₄₇	C₂³	1	12	yes	—
137	#126×C₄₇	C₂³	1	24	yes	—
138	#126×C₄₇	C₂³	1	24	yes	—
139	#126×C₄₇	C₂³	1	12	yes	—
140	#125×C₄₇	C₂³	1	6	yes	—
141	#125×C₄₇	C₂³	1	12	yes	—
142	#125×C₄₇	C₂³	1	24	yes	—
143	#125×C₄₇	C₂³	1	12	yes	—
144	#125×C₄₇	C₂³	1	12	yes	—
145	#125×C₄₇	C₂³	1	24	yes	—
146	#125×C₄₇	C₂³	1	6	yes	—
147	#124×C₄₇	C₂³	1	6	yes	—
148	#124×C₄₇	C₂³	1	12	yes	—
149	#124×C₄₇	C₂³	1	12	yes	—
150	#124×C₄₇	C₂³	1	6	yes	—
151	#124×C₄₇	C₂³	1	12	yes	—
152	#123×C₄₇	C₂³	1	12	yes	—
153	#123×C₄₇	C₂³	1	12	yes	—
154	#123×C₄₇	C₂³	1	24	yes	—
155	#123×C₄₇	C₂³	1	24	yes	—
156	#123×C₄₇	C₂³	1	12	yes	—
157	#123×C₄₇	C₂³	1	4	yes	—
158	#123×C₄₇	C₂³	1	24	yes	—
159	#123×C₄₇	C₂³	1	12	yes	—
160	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
161	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
162	C₂²⋊Q₈×C₄₇	C₂³	1	24	yes	—
163	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
164	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
165	C₂²⋊Q₈×C₄₇	C₂³	1	24	yes	—
166	C₂²⋊Q₈×C₄₇	C₂³	1	24	yes	—
167	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
168	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
169	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
170	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
171	C₂²⋊Q₈×C₄₇	C₂³	1	24	yes	—
172	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
173	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
174	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
175	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
176	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
177	#121×C₄₇	C₂³	1	6	yes	—
178	#121×C₄₇	C₂³	1	6	yes	—
179	#121×C₄₇	C₂³	1	2	yes	—
180	#121×C₄₇	C₂³	1	12	yes	—
181	#121×C₄₇	C₂³	1	6	yes	—
182	#121×C₄₇	C₂³	1	24	yes	—
183	#121×C₄₇	C₂³	1	6	yes	—
184	#121×C₄₇	C₂³	1	6	yes	—
185	#121×C₄₇	C₂³	1	6	yes	—
186	#121×C₄₇	C₂³	1	12	yes	—
187	#120×C₄₇	C₂³	1	12	yes	—
188	#120×C₄₇	C₂³	1	12	yes	—
189	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
190	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
191	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
192	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
193	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
194	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
195	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
196	C₄×Q₈×C₄₇	C₂³	1	4	yes	—
197	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
198	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
199	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
200	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
201	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
202	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
203	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
204	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
205	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
206	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
207	C₄×D₄×C₄₇	C₂³	1	6	yes	—
208	C₄×D₄×C₄₇	C₂³	1	3	yes	—
209	C₄×D₄×C₄₇	C₂³	1	6	yes	—
210	C₄×D₄×C₄₇	C₂³	1	24	yes	—
211	C₄×D₄×C₄₇	C₂³	1	6	yes	—
212	C₄×D₄×C₄₇	C₂³	1	3	yes	—
213	C₄×D₄×C₄₇	C₂³	1	12	yes	—
214	C₄×D₄×C₄₇	C₂³	1	3	yes	—
215	C₄×D₄×C₄₇	C₂³	1	6	yes	—
216	C₄×D₄×C₄₇	C₂³	1	12	yes	—
217	C₄×D₄×C₄₇	C₂³	1	24	yes	—
218	C₄×D₄×C₄₇	C₂³	1	12	yes	—
219	C₄×D₄×C₄₇	C₂³	1	12	yes	—
220	C₄×D₄×C₄₇	C₂³	1	24	yes	—
221	C₄×D₄×C₄₇	C₂³	1	3	yes	—
222	C₄×D₄×C₄₇	C₂³	1	3	yes	—
223	C₄×D₄×C₄₇	C₂³	1	12	yes	—
224	C₄×D₄×C₄₇	C₂³	1	12	yes	—
225	C₄×D₄×C₄₇	C₂³	1	6	yes	—
226	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₄₇	C₂³	1	12	yes	—
228	C₄×D₄×C₄₇	C₂³	1	3	yes	—
229	C₄×D₄×C₄₇	C₂³	1	6	yes	—
230	C₄×D₄×C₄₇	C₂³	1	6	yes	—
231	C₄×D₄×C₄₇	C₂³	1	12	yes	—
232	#117×C₄₇	C₂³	1	3	yes	—
233	#117×C₄₇	C₂³	1	6	yes	—
234	#117×C₄₇	C₂³	1	12	yes	—
235	#117×C₄₇	C₂³	1	12	yes	—
236	#117×C₄₇	C₂³	1	6	yes	—
237	#117×C₄₇	C₂³	1	6	yes	—
238	#117×C₄₇	C₂³	1	3	yes	—
239	#117×C₄₇	C₂³	1	12	yes	—
240	#117×C₄₇	C₂³	1	6	yes	—
241	#117×C₄₇	C₂³	1	6	yes	—
242	#117×C₄₇	C₂³	1	12	yes	—
243	#117×C₄₇	C₂³	1	6	yes	—
244	#117×C₄₇	C₂³	1	24	yes	—
245	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
246	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
247	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	yes	—
248	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
249	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	yes	—
250	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	yes	—
251	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	yes	—
252	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
253	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
254	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
255	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
256	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
257	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	yes	—
258	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
259	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
260	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
261	C₂×C₄²×C₄₇	C₂³	1	12	yes	—
262	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
263	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
264	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
265	C₂⁴×C₄₇	C₂⁴	1	6	yes	—
266	#41×C₄₇	—	2	8	no	—
267	#41×C₄₇	—	2	24	no	—
268	#41×C₄₇	—	2	24	no	—
269	#41×C₄₇	—	2	8	no	—
270	#41×C₄₇	—	2	24	no	—
271	#41×C₄₇	—	2	12	no	—
272	#41×C₄₇	—	8	12	no	—
273	#41×C₄₇	#41	1	8	yes	complemented
274	C₂×Q₈×C₄₇	—	2	8	no	—
275	C₂×Q₈×C₄₇	—	2	8	no	—
276	C₂×Q₈×C₄₇	—	2	12	no	—
277	C₂×Q₈×C₄₇	—	8	6	no	—
278	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
279	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
280	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
281	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
282	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
283	C₂×Q₈×C₄₇	C₂⁴	1	12	yes	—
284	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
285	C₂×D₄×C₄₇	—	2	24	no	—
286	C₂×D₄×C₄₇	—	2	12	no	—
287	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
288	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
289	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
290	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
291	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
292	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
293	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
294	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
295	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
296	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
297	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₄₇	—	2	24	no	—
299	C₂²×C₄×C₄₇	—	8	12	no	—
300	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
301	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
302	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
304	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
305	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
306	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
307	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
309	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
310	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
311	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
312	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
313	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
314	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
315	C₂²×C₄×C₄₇	C₂⁴	1	24	yes	—
316	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
317	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
318	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
319	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
320	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
321	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
322	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
323	C₄⋊C₄×C₄₇	C₂⁴	1	24	yes	—
324	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
325	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
326	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
327	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
328	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
329	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
330	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
331	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
332	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
333	C₄⋊C₄×C₄₇	C₂⁴	1	24	yes	—
334	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
335	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
336	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
337	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
338	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
339	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
340	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
341	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
342	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
343	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
344	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
345	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
346	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
347	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
348	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
349	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
350	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
351	C₂²⋊C₄×C₄₇	C₂⁴	1	24	yes	—
352	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
353	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
354	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
355	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
356	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
357	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
358	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
359	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
360	C₄²×C₄₇	C₂⁴	1	6	yes	—
361	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₄²×C₄₇	C₂⁴	1	6	yes	—
363	C₄²×C₄₇	C₂⁴	1	3	yes	—
364	C₄²×C₄₇	C₂⁴	1	12	yes	—
365	C₄²×C₄₇	C₂⁴	1	12	yes	—
366	C₄²×C₄₇	C₂⁴	1	12	yes	—
367	C₄²×C₄₇	C₂⁴	1	6	yes	—
368	C₄²×C₄₇	C₂⁴	1	3	yes	—
369	C₄²×C₄₇	C₂⁴	1	12	yes	—
370	C₄²×C₄₇	C₂⁴	1	3	yes	—
371	C₂³×C₄₇	—	2	12	no	—
372	C₂³×C₄₇	—	2	12	no	—
373	C₂³×C₄₇	—	4	6	no	—
374	C₂³×C₄₇	C₂⁵	1	6	yes	—
375	C₂³×C₄₇	C₂⁵	1	2	yes	—
376	C₂³×C₄₇	C₂⁵	1	3	yes	—
377	C₂³×C₄₇	C₂⁵	1	2	yes	—
378	Q₈×C₄₇	—	2	6	no	—
379	Q₈×C₄₇	—	2	12	no	—
380	Q₈×C₄₇	—	2	12	no	—
381	Q₈×C₄₇	—	2	4	no	—
382	Q₈×C₄₇	—	4	6	no	—
383	Q₈×C₄₇	—	4	12	no	—
384	Q₈×C₄₇	C₂×#41	1	4	yes	—
385	D₄×C₄₇	—	2	24	no	—
386	D₄×C₄₇	—	2	12	no	—
387	D₄×C₄₇	—	2	12	no	—
388	D₄×C₄₇	—	2	8	no	—
389	D₄×C₄₇	—	2	12	no	—
390	D₄×C₄₇	—	2	2	no	—
391	D₄×C₄₇	—	2	6	no	—
392	D₄×C₄₇	—	4	12	no	—
393	D₄×C₄₇	—	4	6	no	—
394	D₄×C₄₇	C₂×#41	1	12	yes	—
395	D₄×C₄₇	2₋¹⁺⁴	1	4	yes	complemented
396	C₂×C₄×C₄₇	—	2	12	no	—
397	C₂×C₄×C₄₇	—	2	12	no	—
398	C₂×C₄×C₄₇	—	2	8	no	—
399	C₂×C₄×C₄₇	—	2	4	no	—
400	C₂×C₄×C₄₇	—	2	12	no	—
401	C₂×C₄×C₄₇	—	2	12	no	—
402	C₂×C₄×C₄₇	—	2	12	no	—
403	C₂×C₄×C₄₇	—	2	12	no	—
404	C₂×C₄×C₄₇	—	2	6	no	—
405	C₂×C₄×C₄₇	—	2	4	no	—
406	C₂×C₄×C₄₇	—	4	6	no	—
407	C₂×C₄×C₄₇	—	4	12	no	—
408	C₂×C₄×C₄₇	—	4	12	no	—
409	C₂×C₄×C₄₇	—	4	24	no	—
410	C₂×C₄×C₄₇	—	4	3	no	—
411	C₂×C₄×C₄₇	—	4	6	no	—
412	C₂×C₄×C₄₇	C₂×#41	1	12	yes	—
413	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
414	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
415	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
416	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
417	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
418	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
419	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
420	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
421	C₂×C₄×C₄₇	C₂⁵	1	12	yes	—
422	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
423	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
424	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
425	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
426	#63000	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
427	C₂²×C₄₇	—	2	2	no	—
428	C₂²×C₄₇	—	2	3	no	—
429	C₂²×C₄₇	—	2	3	no	—
430	C₂²×C₄₇	—	2	2	no	—
431	C₂²×C₄₇	—	2	2	no	—
432	C₂²×C₄₇	—	2	6	no	—
433	C₂²×C₄₇	—	2	2	no	—
434	C₂²×C₄₇	—	2	6	no	—
435	C₂²×C₄₇	—	2	6	no	—
436	C₂²×C₄₇	—	2	2	no	—
437	C₂²×C₄₇	—	4	24	no	—
438	C₂²×C₄₇	C₂²×#41	1	6	yes	—
439	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
440	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
441	C₄×C₄₇	—	2	2	no	—
442	C₄×C₄₇	—	2	6	no	—
443	C₄×C₄₇	—	2	6	no	—
444	C₄×C₄₇	—	2	2	no	—
445	C₄×C₄₇	—	2	3	no	—
446	C₄×C₄₇	—	2	4	no	—
447	C₄×C₄₇	—	2	6	no	—
448	C₄×C₄₇	—	2	12	no	—
449	C₄×C₄₇	—	2	3	no	—
450	C₄×C₄₇	—	2	1	no	—
451	C₄×C₄₇	C₂²×#41	1	2	yes	—
452	C₄×C₄₇	C₂²×#41	1	6	yes	—
453	C₄×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
454	#3522	C₂×C₄₇	1	2	yes	complemented
455	#3520	C₂×C₄₇	1	12	yes	complemented
456	#3516	C₂×C₄₇	1	4	yes	complemented
457	#3515	C₂×C₄₇	1	6	yes	complemented
458	#3511	C₂×C₄₇	1	3	yes	complemented
459	#3507	C₂×C₄₇	1	3	yes	complemented
460	#3503	C₂×C₄₇	1	1	yes	characteristic, complemented
461	#3495	C₂×C₄₇	1	6	yes	complemented
462	#3492	C₂×C₄₇	1	6	yes	complemented
463	#3489	C₂×C₄₇	1	2	yes	complemented
464	#3481	C₂×C₄₇	1	6	yes	complemented
465	Q₈×#41	C₂×C₄₇	1	2	yes	complemented
466	#3475	C₂×C₄₇	1	3	yes	complemented
467	C₂×#554	C₂×C₄₇	1	3	yes	complemented
468	D₄×#41	C₂×C₄₇	1	1	yes	characteristic, complemented
469	C₄×2₋¹⁺⁴	C₂×C₄₇	1	1	yes	characteristic, complemented
470	C₂×#520	C₂×C₄₇	1	2	yes	complemented
471	C₂×C₄₇	—	2	4	no	—
472	C₂×C₄₇	—	2	6	no	—
473	C₂×C₄₇	—	4	2	no	—
474	C₂×C₄₇	—	4	6	no	—
475	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
476	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
477	C₂×C₄₇	H(7,𝔽₂)	1	1	yes	characteristic
478	C₂×2₋¹⁺⁴	C₂²×C₄₇	1	1	yes	characteristic
479	C₂²×#41	C₂²×C₄₇	1	2	yes	—
480	#559	C₂²×C₄₇	1	6	yes	complemented
481	Q₈²	C₂²×C₄₇	1	2	yes	complemented
482	#557	C₂²×C₄₇	1	6	yes	complemented
483	#557	C₂²×C₄₇	1	2	yes	complemented
484	#556	C₂²×C₄₇	1	3	yes	complemented
485	#556	C₂²×C₄₇	1	6	yes	complemented
486	#556	C₂²×C₄₇	1	12	yes	complemented
487	#555	C₂²×C₄₇	1	3	yes	complemented
488	#554	C₂²×C₄₇	1	3	yes	—
489	#554	C₂²×C₄₇	1	6	yes	—
490	#554	C₂²×C₄₇	1	12	yes	complemented
491	#554	C₂²×C₄₇	1	6	yes	complemented
492	#554	C₂²×C₄₇	1	6	yes	complemented
493	#554	C₂²×C₄₇	1	12	yes	complemented
494	#554	C₂²×C₄₇	1	12	yes	complemented
495	#554	C₂²×C₄₇	1	6	yes	complemented
496	#553	C₂²×C₄₇	1	6	yes	complemented
497	#553	C₂²×C₄₇	1	12	yes	complemented
498	#553	C₂²×C₄₇	1	12	yes	complemented
499	#552	C₂²×C₄₇	1	6	yes	complemented
500	#552	C₂²×C₄₇	1	6	yes	complemented
501	#552	C₂²×C₄₇	1	12	yes	complemented
502	#552	C₂²×C₄₇	1	12	yes	complemented
503	#552	C₂²×C₄₇	1	24	yes	complemented
504	#551	C₂²×C₄₇	1	12	yes	complemented
505	#551	C₂²×C₄₇	1	24	yes	complemented
506	#550	C₂²×C₄₇	1	1	yes	characteristic
507	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic
508	D₄×Q₈	C₂²×C₄₇	1	4	yes	complemented
509	D₄×Q₈	C₂²×C₄₇	1	6	yes	complemented
510	#548	C₂²×C₄₇	1	2	yes	—
511	#548	C₂²×C₄₇	1	4	yes	complemented
512	#548	C₂²×C₄₇	1	12	yes	complemented
513	#547	C₂²×C₄₇	1	3	yes	—
514	#547	C₂²×C₄₇	1	1	yes	characteristic
515	#547	C₂²×C₄₇	1	12	yes	complemented
516	#547	C₂²×C₄₇	1	6	yes	complemented
517	#547	C₂²×C₄₇	1	12	yes	complemented
518	#546	C₂²×C₄₇	1	6	yes	—
519	#546	C₂²×C₄₇	1	6	yes	—
520	#546	C₂²×C₄₇	1	12	yes	complemented
521	D₄²	C₂²×C₄₇	1	3	yes	—
522	#544	C₂²×C₄₇	1	6	yes	complemented
523	#542	C₂²×C₄₇	1	12	yes	complemented
524	#542	C₂²×C₄₇	1	12	yes	complemented
525	#541	C₂²×C₄₇	1	12	yes	complemented
526	#539	C₂²×C₄₇	1	24	yes	complemented
527	#539	C₂²×C₄₇	1	12	yes	complemented
528	#537	C₂²×C₄₇	1	6	yes	complemented
529	#536	C₂²×C₄₇	1	6	yes	complemented
530	#533	C₂²×C₄₇	1	3	yes	complemented
531	#533	C₂²×C₄₇	1	12	yes	complemented
532	#533	C₂²×C₄₇	1	6	yes	complemented
533	#532	C₂²×C₄₇	1	3	yes	—
534	#532	C₂²×C₄₇	1	6	yes	complemented
535	C₂×C₄⋊Q₈	C₂²×C₄₇	1	3	yes	complemented
536	#529	C₂²×C₄₇	1	6	yes	complemented
537	#529	C₂²×C₄₇	1	12	yes	complemented
538	#529	C₂²×C₄₇	1	12	yes	complemented
539	#529	C₂²×C₄₇	1	12	yes	complemented
540	C₂×#125	C₂²×C₄₇	1	6	yes	complemented
541	#525	C₂²×C₄₇	1	6	yes	—
542	#525	C₂²×C₄₇	1	6	yes	complemented
543	#525	C₂²×C₄₇	1	24	yes	complemented
544	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	6	yes	complemented
545	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	12	yes	complemented
546	#520	C₂²×C₄₇	1	1	yes	characteristic
547	#520	C₂²×C₄₇	1	2	yes	—
548	#520	C₂²×C₄₇	1	6	yes	complemented
549	#520	C₂²×C₄₇	1	6	yes	complemented
550	#520	C₂²×C₄₇	1	12	yes	complemented
551	#520	C₂²×C₄₇	1	4	yes	complemented
552	#520	C₂²×C₄₇	1	3	yes	complemented
553	#520	C₂²×C₄₇	1	6	yes	complemented
554	#519	C₂²×C₄₇	1	3	yes	complemented
555	#519	C₂²×C₄₇	1	2	yes	complemented
556	C₄×#41	C₂²×C₄₇	1	1	yes	characteristic
557	C₄×#41	C₂²×C₄₇	1	6	yes	—
558	C₄×#41	C₂²×C₄₇	1	3	yes	complemented
559	C₄×#41	C₂²×C₄₇	1	6	yes	complemented
560	C₂×C₄×Q₈	C₂²×C₄₇	1	4	yes	complemented
561	C₂×C₄×Q₈	C₂²×C₄₇	1	3	yes	complemented
562	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
563	C₂×C₄×D₄	C₂²×C₄₇	1	3	yes	—
564	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	—
565	C₂×C₄×D₄	C₂²×C₄₇	1	12	yes	complemented
566	C₂×#117	C₂²×C₄₇	1	6	yes	complemented
567	C₂²×C₄⋊C₄	C₂²×C₄₇	1	6	yes	complemented
568	C₄₇	#63000	1	1	yes	characteristic, direct product factor, Sylow
569	2₋¹⁺⁴	—	2	8	no	—
570	C₂×#41	—	2	16	no	—
571	C₂×#41	C₂³×C₄₇	1	2	yes	—
572	C₂×#41	C₂³×C₄₇	1	3	yes	—
573	C₂×#41	C₂³×C₄₇	1	6	yes	—
574	C₂×#41	C₂³×C₄₇	1	6	yes	—
575	C₂×#41	C₂³×C₄₇	1	6	yes	—
576	C₂×#41	C₂³×C₄₇	1	2	yes	—
577	C₂×#41	C₂³×C₄₇	1	12	yes	—
578	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
579	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
580	C₂²×Q₈	C₂³×C₄₇	1	3	yes	—
581	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
582	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
583	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
584	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
585	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
586	C₂³×C₄	C₂³×C₄₇	1	12	yes	—
587	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
588	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
589	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
590	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
591	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
592	C₄⋊Q₈	C₂³×C₄₇	1	1	yes	characteristic
593	C₄⋊Q₈	C₂³×C₄₇	1	12	yes	—
594	C₄⋊Q₈	C₂³×C₄₇	1	12	yes	—
595	#127	C₂³×C₄₇	1	3	yes	—
596	#126	C₂³×C₄₇	1	12	yes	—
597	#126	C₂³×C₄₇	1	12	yes	—
598	#126	C₂³×C₄₇	1	24	yes	—
599	#126	C₂³×C₄₇	1	24	yes	—
600	#126	C₂³×C₄₇	1	12	yes	—
601	#125	C₂³×C₄₇	1	6	yes	—
602	#125	C₂³×C₄₇	1	12	yes	—
603	#125	C₂³×C₄₇	1	24	yes	—
604	#125	C₂³×C₄₇	1	12	yes	—
605	#125	C₂³×C₄₇	1	12	yes	—
606	#125	C₂³×C₄₇	1	24	yes	—
607	#125	C₂³×C₄₇	1	6	yes	—
608	#124	C₂³×C₄₇	1	6	yes	—
609	#124	C₂³×C₄₇	1	12	yes	—
610	#124	C₂³×C₄₇	1	12	yes	—
611	#124	C₂³×C₄₇	1	6	yes	—
612	#124	C₂³×C₄₇	1	12	yes	—
613	#123	C₂³×C₄₇	1	12	yes	—
614	#123	C₂³×C₄₇	1	12	yes	—
615	#123	C₂³×C₄₇	1	24	yes	—
616	#123	C₂³×C₄₇	1	24	yes	—
617	#123	C₂³×C₄₇	1	12	yes	—
618	#123	C₂³×C₄₇	1	4	yes	—
619	#123	C₂³×C₄₇	1	24	yes	—
620	#123	C₂³×C₄₇	1	12	yes	—
621	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
622	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
623	C₂²⋊Q₈	C₂³×C₄₇	1	24	yes	—
624	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
625	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
626	C₂²⋊Q₈	C₂³×C₄₇	1	24	yes	—
627	C₂²⋊Q₈	C₂³×C₄₇	1	24	yes	—
628	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
629	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
630	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
631	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
632	C₂²⋊Q₈	C₂³×C₄₇	1	24	yes	—
633	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	—
634	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
635	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
636	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
637	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
638	#121	C₂³×C₄₇	1	6	yes	—
639	#121	C₂³×C₄₇	1	6	yes	—
640	#121	C₂³×C₄₇	1	2	yes	—
641	#121	C₂³×C₄₇	1	12	yes	—
642	#121	C₂³×C₄₇	1	6	yes	—
643	#121	C₂³×C₄₇	1	24	yes	—
644	#121	C₂³×C₄₇	1	6	yes	—
645	#121	C₂³×C₄₇	1	6	yes	—
646	#121	C₂³×C₄₇	1	6	yes	—
647	#121	C₂³×C₄₇	1	12	yes	—
648	#120	C₂³×C₄₇	1	12	yes	—
649	#120	C₂³×C₄₇	1	12	yes	—
650	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
651	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
652	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
653	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
654	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
655	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
656	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
657	C₄×Q₈	C₂³×C₄₇	1	4	yes	—
658	C₄×Q₈	C₂³×C₄₇	1	12	yes	—
659	C₄×Q₈	C₂³×C₄₇	1	12	yes	—
660	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
661	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
662	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
663	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
664	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
665	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
666	C₄×Q₈	C₂³×C₄₇	1	12	yes	—
667	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
668	C₄×D₄	C₂³×C₄₇	1	6	yes	—
669	C₄×D₄	C₂³×C₄₇	1	3	yes	—
670	C₄×D₄	C₂³×C₄₇	1	6	yes	—
671	C₄×D₄	C₂³×C₄₇	1	24	yes	—
672	C₄×D₄	C₂³×C₄₇	1	6	yes	—
673	C₄×D₄	C₂³×C₄₇	1	3	yes	—
674	C₄×D₄	C₂³×C₄₇	1	12	yes	—
675	C₄×D₄	C₂³×C₄₇	1	3	yes	—
676	C₄×D₄	C₂³×C₄₇	1	6	yes	—
677	C₄×D₄	C₂³×C₄₇	1	12	yes	—
678	C₄×D₄	C₂³×C₄₇	1	24	yes	—
679	C₄×D₄	C₂³×C₄₇	1	12	yes	—
680	C₄×D₄	C₂³×C₄₇	1	12	yes	—
681	C₄×D₄	C₂³×C₄₇	1	24	yes	—
682	C₄×D₄	C₂³×C₄₇	1	3	yes	—
683	C₄×D₄	C₂³×C₄₇	1	3	yes	—
684	C₄×D₄	C₂³×C₄₇	1	12	yes	—
685	C₄×D₄	C₂³×C₄₇	1	12	yes	—
686	C₄×D₄	C₂³×C₄₇	1	6	yes	—
687	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
688	C₄×D₄	C₂³×C₄₇	1	12	yes	—
689	C₄×D₄	C₂³×C₄₇	1	3	yes	—
690	C₄×D₄	C₂³×C₄₇	1	6	yes	—
691	C₄×D₄	C₂³×C₄₇	1	6	yes	—
692	C₄×D₄	C₂³×C₄₇	1	12	yes	—
693	#117	C₂³×C₄₇	1	3	yes	—
694	#117	C₂³×C₄₇	1	6	yes	—
695	#117	C₂³×C₄₇	1	12	yes	—
696	#117	C₂³×C₄₇	1	12	yes	—
697	#117	C₂³×C₄₇	1	6	yes	—
698	#117	C₂³×C₄₇	1	6	yes	—
699	#117	C₂³×C₄₇	1	3	yes	—
700	#117	C₂³×C₄₇	1	12	yes	—
701	#117	C₂³×C₄₇	1	6	yes	—
702	#117	C₂³×C₄₇	1	6	yes	—
703	#117	C₂³×C₄₇	1	12	yes	—
704	#117	C₂³×C₄₇	1	6	yes	—
705	#117	C₂³×C₄₇	1	24	yes	—
706	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
707	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
708	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
709	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
710	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
711	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
712	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
713	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
714	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
715	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
716	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
717	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
718	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
722	C₂×C₄²	C₂³×C₄₇	1	12	yes	—
723	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
724	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
725	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
726	C₂⁴	C₂⁴×C₄₇	1	6	yes	—
727	#41	—	2	8	no	—
728	#41	—	2	24	no	—
729	#41	—	2	24	no	—
730	#41	—	2	8	no	—
731	#41	—	2	24	no	—
732	#41	—	2	12	no	—
733	#41	—	8	12	no	—
734	#41	#41×C₄₇	1	8	yes	complemented
735	C₂×Q₈	—	2	8	no	—
736	C₂×Q₈	—	2	8	no	—
737	C₂×Q₈	—	2	12	no	—
738	C₂×Q₈	—	8	6	no	—
739	C₂×Q₈	C₂⁴×C₄₇	1	2	yes	—
740	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
741	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
742	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
743	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
744	C₂×Q₈	C₂⁴×C₄₇	1	12	yes	—
745	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
746	C₂×D₄	—	2	24	no	—
747	C₂×D₄	—	2	12	no	—
748	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
749	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
750	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
751	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
752	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
753	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
754	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
755	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
756	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
757	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
758	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
759	C₂²×C₄	—	2	24	no	—
760	C₂²×C₄	—	8	12	no	—
761	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
762	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
763	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
764	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
765	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
766	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
767	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
768	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
769	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
770	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
771	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
772	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
773	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
774	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
775	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
776	C₂²×C₄	C₂⁴×C₄₇	1	24	yes	—
777	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
778	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
779	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
780	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
781	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
782	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
783	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
784	C₄⋊C₄	C₂⁴×C₄₇	1	24	yes	—
785	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
786	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
787	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
788	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
789	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
790	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
791	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
792	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
793	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
794	C₄⋊C₄	C₂⁴×C₄₇	1	24	yes	—
795	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
796	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
797	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
798	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
799	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
800	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
801	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
802	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
803	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
804	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
805	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
806	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
807	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
808	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
809	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
810	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
811	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
812	C₂²⋊C₄	C₂⁴×C₄₇	1	24	yes	—
813	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
814	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
815	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
816	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
817	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
818	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
819	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
820	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
821	C₄²	C₂⁴×C₄₇	1	6	yes	—
822	C₄²	C₂⁴×C₄₇	1	1	yes	characteristic
823	C₄²	C₂⁴×C₄₇	1	6	yes	—
824	C₄²	C₂⁴×C₄₇	1	3	yes	—
825	C₄²	C₂⁴×C₄₇	1	12	yes	—
826	C₄²	C₂⁴×C₄₇	1	12	yes	—
827	C₄²	C₂⁴×C₄₇	1	12	yes	—
828	C₄²	C₂⁴×C₄₇	1	6	yes	—
829	C₄²	C₂⁴×C₄₇	1	3	yes	—
830	C₄²	C₂⁴×C₄₇	1	12	yes	—
831	C₄²	C₂⁴×C₄₇	1	3	yes	—
832	C₂³	—	2	12	no	—
833	C₂³	—	2	12	no	—
834	C₂³	—	4	6	no	—
835	C₂³	C₂⁵×C₄₇	1	6	yes	—
836	C₂³	C₂⁵×C₄₇	1	2	yes	—
837	C₂³	C₂⁵×C₄₇	1	3	yes	—
838	C₂³	C₂⁵×C₄₇	1	2	yes	—
839	Q₈	—	2	6	no	—
840	Q₈	—	2	12	no	—
841	Q₈	—	2	12	no	—
842	Q₈	—	2	4	no	—
843	Q₈	—	4	6	no	—
844	Q₈	—	4	12	no	—
845	Q₈	C₂×#41×C₄₇	1	4	yes	—
846	D₄	—	2	24	no	—
847	D₄	—	2	12	no	—
848	D₄	—	2	12	no	—
849	D₄	—	2	8	no	—
850	D₄	—	2	12	no	—
851	D₄	—	2	2	no	—
852	D₄	—	2	6	no	—
853	D₄	—	4	12	no	—
854	D₄	—	4	6	no	—
855	D₄	C₂×#41×C₄₇	1	12	yes	—
856	D₄	2₋¹⁺⁴×C₄₇	1	4	yes	complemented
857	C₂×C₄	—	2	12	no	—
858	C₂×C₄	—	2	12	no	—
859	C₂×C₄	—	2	8	no	—
860	C₂×C₄	—	2	4	no	—
861	C₂×C₄	—	2	12	no	—
862	C₂×C₄	—	2	12	no	—
863	C₂×C₄	—	2	12	no	—
864	C₂×C₄	—	2	12	no	—
865	C₂×C₄	—	2	6	no	—
866	C₂×C₄	—	2	4	no	—
867	C₂×C₄	—	4	6	no	—
868	C₂×C₄	—	4	12	no	—
869	C₂×C₄	—	4	12	no	—
870	C₂×C₄	—	4	24	no	—
871	C₂×C₄	—	4	3	no	—
872	C₂×C₄	—	4	6	no	—
873	C₂×C₄	C₂×#41×C₄₇	1	12	yes	—
874	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
875	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
876	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
877	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
878	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
879	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
880	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
881	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
882	C₂×C₄	C₂⁵×C₄₇	1	12	yes	—
883	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
884	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
885	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
886	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
887	C₂²	—	2	2	no	—
888	C₂²	—	2	3	no	—
889	C₂²	—	2	3	no	—
890	C₂²	—	2	2	no	—
891	C₂²	—	2	2	no	—
892	C₂²	—	2	6	no	—
893	C₂²	—	2	2	no	—
894	C₂²	—	2	6	no	—
895	C₂²	—	2	6	no	—
896	C₂²	—	2	2	no	—
897	C₂²	—	4	24	no	—
898	C₂²	C₂²×#41×C₄₇	1	6	yes	—
899	C₂²	C₂×2₋¹⁺⁴×C₄₇	1	4	yes	—
900	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
901	C₄	—	2	2	no	—
902	C₄	—	2	6	no	—
903	C₄	—	2	6	no	—
904	C₄	—	2	2	no	—
905	C₄	—	2	3	no	—
906	C₄	—	2	4	no	—
907	C₄	—	2	6	no	—
908	C₄	—	2	12	no	—
909	C₄	—	2	3	no	—
910	C₄	—	2	1	no	—
911	C₄	C₂²×#41×C₄₇	1	2	yes	—
912	C₄	C₂²×#41×C₄₇	1	6	yes	—
913	C₄	C₂×2₋¹⁺⁴×C₄₇	1	2	yes	—
914	C₂	—	2	4	no	—
915	C₂	—	2	6	no	—
916	C₂	—	4	6	no	—
917	C₂	—	4	2	no	—
918	C₂	C₂³×#41×C₄₇	1	1	yes	characteristic
919	C₂	C₂²×2₋¹⁺⁴×C₄₇	1	1	yes	characteristic
920	C₂	C₄₇×H(7,𝔽₂)	1	1	yes	characteristic

	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×#3522	C₂	semidirect
2. C₄₇×#3520	C₂	semidirect
3. C₄₇×#3516	C₂	semidirect
4. C₄₇×#3515	C₂	semidirect
5. C₄₇×#3511	C₂	semidirect
6. C₄₇×#3507	C₂	semidirect
7. C₄₇×#3503	C₂	semidirect
8. C₄₇×#3495	C₂	semidirect
9. C₄₇×#3492	C₂	semidirect
10. C₄₇×#3489	C₂	semidirect
11. C₄₇×#3481	C₂	semidirect
12. Q₈×#41×C₄₇	C₂	semidirect
13. C₄₇×#3475	C₂	semidirect
14. C₂×C₄₇×#554	C₂	semidirect
15. D₄×#41×C₄₇	C₂	semidirect
16. C₄×2₋¹⁺⁴×C₄₇	C₂	semidirect
17. C₂×C₄₇×#520	C₂	semidirect
20. C₄₇×#559	C₂²	semidirect
21. Q₈²×C₄₇	C₂²	semidirect
22. C₄₇×#557	C₂²	semidirect
23. C₄₇×#557	C₂²	semidirect
24. C₄₇×#556	C₂²	semidirect
25. C₄₇×#556	C₂²	semidirect
26. C₄₇×#556	C₂²	semidirect
27. C₄₇×#555	C₂²	semidirect
30. C₄₇×#554	C₂²	semidirect
31. C₄₇×#554	C₂²	semidirect
32. C₄₇×#554	C₂²	semidirect
33. C₄₇×#554	C₂²	semidirect
34. C₄₇×#554	C₂²	semidirect
35. C₄₇×#554	C₂²	semidirect
36. C₄₇×#553	C₂²	semidirect
37. C₄₇×#553	C₂²	semidirect
38. C₄₇×#553	C₂²	semidirect
39. C₄₇×#552	C₂²	semidirect
40. C₄₇×#552	C₂²	semidirect
41. C₄₇×#552	C₂²	semidirect
42. C₄₇×#552	C₂²	semidirect
43. C₄₇×#552	C₂²	semidirect
44. C₄₇×#551	C₂²	semidirect
45. C₄₇×#551	C₂²	semidirect
48. D₄×Q₈×C₄₇	C₂²	semidirect
49. D₄×Q₈×C₄₇	C₂²	semidirect
51. C₄₇×#548	C₂²	semidirect
52. C₄₇×#548	C₂²	semidirect
55. C₄₇×#547	C₂²	semidirect
56. C₄₇×#547	C₂²	semidirect
57. C₄₇×#547	C₂²	semidirect
60. C₄₇×#546	C₂²	semidirect
62. C₄₇×#544	C₂²	semidirect
63. C₄₇×#542	C₂²	semidirect
64. C₄₇×#542	C₂²	semidirect
65. C₄₇×#541	C₂²	semidirect
66. C₄₇×#539	C₂²	semidirect
67. C₄₇×#539	C₂²	semidirect
68. C₄₇×#537	C₂²	semidirect
69. C₄₇×#536	C₂²	semidirect
70. C₄₇×#533	C₂²	semidirect
71. C₄₇×#533	C₂²	semidirect
72. C₄₇×#533	C₂²	semidirect
74. C₄₇×#532	C₂²	semidirect
75. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
76. C₄₇×#529	C₂²	semidirect
77. C₄₇×#529	C₂²	semidirect
78. C₄₇×#529	C₂²	semidirect
79. C₄₇×#529	C₂²	semidirect
80. C₂×#125×C₄₇	C₂²	semidirect
82. C₄₇×#525	C₂²	semidirect
83. C₄₇×#525	C₂²	semidirect
84. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
85. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
88. C₄₇×#520	C₂²	semidirect
89. C₄₇×#520	C₂²	semidirect
90. C₄₇×#520	C₂²	semidirect
91. C₄₇×#520	C₂²	semidirect
92. C₄₇×#520	C₂²	semidirect
93. C₄₇×#520	C₂²	semidirect
94. C₄₇×#519	C₂²	semidirect
95. C₄₇×#519	C₂²	semidirect
98. C₄×#41×C₄₇	C₂²	semidirect
99. C₄×#41×C₄₇	C₂²	semidirect
100. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
101. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
102. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
105. C₂×C₄×D₄×C₄₇	C₂²	semidirect
106. C₂×#117×C₄₇	C₂²	semidirect
107. C₂²×C₄⋊C₄×C₄₇	C₂²	semidirect
273. #41×C₄₇	#41	semidirect
395. D₄×C₄₇	2₋¹⁺⁴	semidirect
426. #63000	C₄₇	direct (N × H)
454. #3522	C₂×C₄₇	semidirect
455. #3520	C₂×C₄₇	semidirect
456. #3516	C₂×C₄₇	semidirect
457. #3515	C₂×C₄₇	semidirect
458. #3511	C₂×C₄₇	semidirect
459. #3507	C₂×C₄₇	semidirect
460. #3503	C₂×C₄₇	semidirect
461. #3495	C₂×C₄₇	semidirect
462. #3492	C₂×C₄₇	semidirect
463. #3489	C₂×C₄₇	semidirect
464. #3481	C₂×C₄₇	semidirect
465. Q₈×#41	C₂×C₄₇	semidirect
466. #3475	C₂×C₄₇	semidirect
467. C₂×#554	C₂×C₄₇	semidirect
468. D₄×#41	C₂×C₄₇	semidirect
469. C₄×2₋¹⁺⁴	C₂×C₄₇	semidirect
470. C₂×#520	C₂×C₄₇	semidirect
480. #559	C₂²×C₄₇	semidirect
481. Q₈²	C₂²×C₄₇	semidirect
482. #557	C₂²×C₄₇	semidirect
483. #557	C₂²×C₄₇	semidirect
484. #556	C₂²×C₄₇	semidirect
485. #556	C₂²×C₄₇	semidirect
486. #556	C₂²×C₄₇	semidirect
487. #555	C₂²×C₄₇	semidirect
490. #554	C₂²×C₄₇	semidirect
491. #554	C₂²×C₄₇	semidirect
492. #554	C₂²×C₄₇	semidirect
493. #554	C₂²×C₄₇	semidirect
494. #554	C₂²×C₄₇	semidirect
495. #554	C₂²×C₄₇	semidirect
496. #553	C₂²×C₄₇	semidirect
497. #553	C₂²×C₄₇	semidirect
498. #553	C₂²×C₄₇	semidirect
499. #552	C₂²×C₄₇	semidirect
500. #552	C₂²×C₄₇	semidirect
501. #552	C₂²×C₄₇	semidirect
502. #552	C₂²×C₄₇	semidirect
503. #552	C₂²×C₄₇	semidirect
504. #551	C₂²×C₄₇	semidirect
505. #551	C₂²×C₄₇	semidirect
508. D₄×Q₈	C₂²×C₄₇	semidirect
509. D₄×Q₈	C₂²×C₄₇	semidirect
511. #548	C₂²×C₄₇	semidirect
512. #548	C₂²×C₄₇	semidirect
515. #547	C₂²×C₄₇	semidirect
516. #547	C₂²×C₄₇	semidirect
517. #547	C₂²×C₄₇	semidirect
520. #546	C₂²×C₄₇	semidirect
522. #544	C₂²×C₄₇	semidirect
523. #542	C₂²×C₄₇	semidirect
524. #542	C₂²×C₄₇	semidirect
525. #541	C₂²×C₄₇	semidirect
526. #539	C₂²×C₄₇	semidirect
527. #539	C₂²×C₄₇	semidirect
528. #537	C₂²×C₄₇	semidirect
529. #536	C₂²×C₄₇	semidirect
530. #533	C₂²×C₄₇	semidirect
531. #533	C₂²×C₄₇	semidirect
532. #533	C₂²×C₄₇	semidirect
534. #532	C₂²×C₄₇	semidirect
535. C₂×C₄⋊Q₈	C₂²×C₄₇	semidirect
536. #529	C₂²×C₄₇	semidirect
537. #529	C₂²×C₄₇	semidirect
538. #529	C₂²×C₄₇	semidirect
539. #529	C₂²×C₄₇	semidirect
540. C₂×#125	C₂²×C₄₇	semidirect
542. #525	C₂²×C₄₇	semidirect
543. #525	C₂²×C₄₇	semidirect
544. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
545. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
548. #520	C₂²×C₄₇	semidirect
549. #520	C₂²×C₄₇	semidirect
550. #520	C₂²×C₄₇	semidirect
551. #520	C₂²×C₄₇	semidirect
552. #520	C₂²×C₄₇	semidirect
553. #520	C₂²×C₄₇	semidirect
554. #519	C₂²×C₄₇	semidirect
555. #519	C₂²×C₄₇	semidirect
558. C₄×#41	C₂²×C₄₇	semidirect
559. C₄×#41	C₂²×C₄₇	semidirect
560. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
561. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
562. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
565. C₂×C₄×D₄	C₂²×C₄₇	semidirect
566. C₂×#117	C₂²×C₄₇	semidirect
567. C₂²×C₄⋊C₄	C₂²×C₄₇	semidirect
568. C₄₇	#63000	direct (N × H)
734. #41	#41×C₄₇	semidirect
856. D₄	2₋¹⁺⁴×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₄₇×#3522	2
C₄₇×#3520	2
C₄₇×#3516	2
C₄₇×#3515	2
C₄₇×#3511	2
C₄₇×#3507	2
C₄₇×#3503	2
C₄₇×#3495	2
C₄₇×#3492	2
C₄₇×#3489	2
C₄₇×#3481	2
Q₈×#41×C₄₇	2
C₄₇×#3475	2
C₂×C₄₇×#554	2
D₄×#41×C₄₇	2
C₄×2₋¹⁺⁴×C₄₇	2
C₂×C₄₇×#520	2
#63000	47

Subgroups — C47×#63000 #26102698

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#63000 #26102698