Subgroups — C₄₇×#63014 #26102712

Order 12032.

7900 conjugacy classes of subgroups.

The subgroup lattice has 952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3548	C₂	1	3	yes	maximal, complemented
2	C₄₇×#3546	C₂	1	6	yes	maximal, complemented
3	C₄₇×#3543	C₂	1	6	yes	maximal, complemented
4	C₄₇×#3542	C₂	1	12	yes	maximal, complemented
5	C₄₇×#3522	C₂	1	2	yes	maximal, complemented
6	C₄₇×#3519	C₂	1	6	yes	maximal, complemented
7	C₄₇×#3517	C₂	1	2	yes	maximal, complemented
8	C₄₇×#3508	C₂	1	3	yes	maximal, complemented
9	C₄₇×#3498	C₂	1	3	yes	maximal, complemented
10	C₄₇×#3498	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3496	C₂	1	6	yes	maximal, complemented
12	C₄₇×#3488	C₂	1	4	yes	maximal, complemented
13	C₄₇×#3483	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₇×#3482	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#3481	C₂	1	3	yes	maximal, complemented
16	D₄×#41×C₄₇	C₂	1	2	yes	maximal, complemented
17	C₂×C₄₇×#550	C₂	1	2	yes	maximal, complemented
18	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	2	yes	complemented
19	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	6	yes	complemented
20	C₂²×#41×C₄₇	C₂²	1	4	yes	complemented
21	C₄₇×#562	C₂²	1	12	yes	complemented
22	C₄₇×#560	C₂²	1	24	yes	complemented
23	C₄₇×#559	C₂²	1	6	yes	complemented
24	C₄₇×#559	C₂²	1	3	yes	complemented
25	Q₈²×C₄₇	C₂²	1	1	yes	characteristic, complemented
26	C₄₇×#557	C₂²	1	1	yes	characteristic, complemented
27	C₄₇×#556	C₂²	1	3	yes	complemented
28	C₄₇×#555	C₂²	1	6	yes	complemented
29	C₄₇×#555	C₂²	1	3	yes	complemented
30	C₄₇×#554	C₂²	1	3	yes	complemented
31	C₄₇×#554	C₂²	1	6	yes	complemented
32	C₄₇×#554	C₂²	1	1	yes	characteristic, complemented
33	C₄₇×#553	C₂²	1	12	yes	complemented
34	C₄₇×#553	C₂²	1	6	yes	complemented
35	C₄₇×#553	C₂²	1	6	yes	complemented
36	C₄₇×#552	C₂²	1	6	yes	complemented
37	C₄₇×#551	C₂²	1	12	yes	complemented
38	C₄₇×#550	C₂²	1	12	yes	complemented
39	C₄₇×#550	C₂²	1	3	yes	complemented
40	C₄₇×#550	C₂²	1	6	yes	complemented
41	C₄₇×#550	C₂²	1	6	yes	complemented
42	C₄₇×#550	C₂²	1	6	yes	complemented
43	C₄₇×#550	C₂²	1	1	yes	characteristic, complemented
44	C₄₇×#550	C₂²	1	4	yes	complemented
45	C₄₇×#550	C₂²	1	2	yes	complemented
46	C₄₇×#550	C₂²	1	6	yes	complemented
47	C₄₇×#550	C₂²	1	2	yes	complemented
48	C₄₇×#550	C₂²	1	2	yes	complemented
49	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
50	C₄₇×#548	C₂²	1	4	yes	complemented
51	C₄₇×#548	C₂²	1	2	yes	complemented
52	C₄₇×#547	C₂²	1	12	yes	complemented
53	C₄₇×#547	C₂²	1	6	yes	complemented
54	C₄₇×#547	C₂²	1	6	yes	complemented
55	C₄₇×#547	C₂²	1	3	yes	complemented
56	C₄₇×#546	C₂²	1	12	yes	complemented
57	C₄₇×#546	C₂²	1	12	yes	complemented
58	C₄₇×#546	C₂²	1	24	yes	complemented
59	C₄₇×#546	C₂²	1	6	yes	complemented
60	C₄₇×#546	C₂²	1	12	yes	complemented
61	C₄₇×#546	C₂²	1	12	yes	complemented
62	C₄₇×#546	C₂²	1	6	yes	complemented
63	D₄²×C₄₇	C₂²	1	12	yes	complemented
64	D₄²×C₄₇	C₂²	1	12	yes	complemented
65	D₄²×C₄₇	C₂²	1	6	yes	complemented
66	D₄²×C₄₇	C₂²	1	12	yes	complemented
67	D₄²×C₄₇	C₂²	1	6	yes	complemented
68	D₄²×C₄₇	C₂²	1	6	yes	complemented
69	D₄²×C₄₇	C₂²	1	3	yes	complemented
70	C₄₇×#542	C₂²	1	12	yes	complemented
71	C₄₇×#540	C₂²	1	12	yes	complemented
72	C₄₇×#540	C₂²	1	12	yes	complemented
73	C₄₇×#540	C₂²	1	12	yes	complemented
74	C₄₇×#538	C₂²	1	24	yes	complemented
75	C₄₇×#537	C₂²	1	12	yes	complemented
76	C₄₇×#537	C₂²	1	12	yes	complemented
77	C₄₇×#535	C₂²	1	12	yes	complemented
78	C₄₇×#535	C₂²	1	6	yes	complemented
79	C₄₇×#535	C₂²	1	6	yes	complemented
80	C₄₇×#535	C₂²	1	12	yes	complemented
81	C₄₇×#535	C₂²	1	6	yes	complemented
82	C₄₇×#534	C₂²	1	24	yes	complemented
83	C₄₇×#533	C₂²	1	3	yes	complemented
84	C₄₇×#532	C₂²	1	6	yes	complemented
85	C₄₇×#532	C₂²	1	6	yes	complemented
86	C₄₇×#532	C₂²	1	3	yes	complemented
87	C₄₇×#532	C₂²	1	3	yes	complemented
88	C₄₇×#532	C₂²	1	6	yes	complemented
89	C₄₇×#532	C₂²	1	6	yes	complemented
90	C₂×#127×C₄₇	C₂²	1	6	yes	complemented
91	C₂×#127×C₄₇	C₂²	1	3	yes	complemented
92	C₄₇×#529	C₂²	1	6	yes	complemented
93	C₄₇×#529	C₂²	1	6	yes	complemented
94	C₄₇×#529	C₂²	1	6	yes	complemented
95	C₄₇×#525	C₂²	1	12	yes	complemented
96	C₄₇×#525	C₂²	1	12	yes	complemented
97	C₂×#121×C₄₇	C₂²	1	12	yes	complemented
98	C₂×#121×C₄₇	C₂²	1	12	yes	complemented
99	C₄₇×#520	C₂²	1	4	yes	complemented
100	C₄₇×#518	C₂²	1	6	yes	complemented
101	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
102	C₄×#41×C₄₇	C₂²	1	3	yes	complemented
103	C₄×#41×C₄₇	C₂²	1	3	yes	complemented
104	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
106	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
107	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
108	H(5,𝔽₂)×C₄₇	—	4	24	no	—
109	H(5,𝔽₂)×C₄₇	—	4	8	no	—
110	C₂×#41×C₄₇	—	4	16	no	—
111	C₂×#41×C₄₇	C₂³	1	3	yes	—
112	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
113	C₂×#41×C₄₇	C₂³	1	2	yes	—
114	C₂×#41×C₄₇	C₂³	1	4	yes	—
115	C₂×#41×C₄₇	C₂³	1	3	yes	—
116	C₂×#41×C₄₇	C₂³	1	6	yes	—
117	C₂×#41×C₄₇	C₂³	1	12	yes	—
118	C₂×#41×C₄₇	C₂³	1	6	yes	—
119	C₂×#41×C₄₇	C₂³	1	12	yes	—
120	C₂×#41×C₄₇	C₂³	1	12	yes	—
121	C₂×#41×C₄₇	C₂³	1	12	yes	—
122	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
123	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
124	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
125	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
126	C₂²×D₄×C₄₇	C₂³	1	12	yes	—
127	C₂²×D₄×C₄₇	C₂³	1	12	yes	—
128	C₂²×D₄×C₄₇	C₂³	1	24	yes	—
129	C₂²×D₄×C₄₇	C₂³	1	12	yes	—
130	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
131	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
132	C₂³×C₄×C₄₇	C₂³	1	12	yes	—
133	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
134	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
135	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
136	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
137	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
138	#127×C₄₇	C₂³	1	6	yes	—
139	#127×C₄₇	C₂³	1	3	yes	—
140	#127×C₄₇	C₂³	1	3	yes	—
141	#127×C₄₇	C₂³	1	6	yes	—
142	#127×C₄₇	C₂³	1	6	yes	—
143	#127×C₄₇	C₂³	1	12	yes	—
144	#127×C₄₇	C₂³	1	12	yes	—
145	#127×C₄₇	C₂³	1	12	yes	—
146	#127×C₄₇	C₂³	1	6	yes	—
147	#126×C₄₇	C₂³	1	12	yes	—
148	#126×C₄₇	C₂³	1	12	yes	—
149	#126×C₄₇	C₂³	1	12	yes	—
150	#125×C₄₇	C₂³	1	2	yes	—
151	#125×C₄₇	C₂³	1	6	yes	—
152	#125×C₄₇	C₂³	1	6	yes	—
153	#125×C₄₇	C₂³	1	6	yes	—
154	#124×C₄₇	C₂³	1	6	yes	—
155	#124×C₄₇	C₂³	1	6	yes	—
156	#124×C₄₇	C₂³	1	6	yes	—
157	#124×C₄₇	C₂³	1	12	yes	—
158	#124×C₄₇	C₂³	1	6	yes	—
159	#124×C₄₇	C₂³	1	6	yes	—
160	#124×C₄₇	C₂³	1	12	yes	—
161	#124×C₄₇	C₂³	1	12	yes	—
162	#123×C₄₇	C₂³	1	12	yes	—
163	#123×C₄₇	C₂³	1	24	yes	—
164	#123×C₄₇	C₂³	1	12	yes	—
165	#123×C₄₇	C₂³	1	12	yes	—
166	#123×C₄₇	C₂³	1	12	yes	—
167	#123×C₄₇	C₂³	1	12	yes	—
168	#123×C₄₇	C₂³	1	24	yes	—
169	#123×C₄₇	C₂³	1	24	yes	—
170	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	—
171	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
172	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
173	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
174	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
175	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
176	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
177	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
178	C₂²⋊Q₈×C₄₇	C₂³	1	24	yes	—
179	#121×C₄₇	C₂³	1	12	yes	—
180	#121×C₄₇	C₂³	1	6	yes	—
181	#121×C₄₇	C₂³	1	6	yes	—
182	#121×C₄₇	C₂³	1	12	yes	—
183	#121×C₄₇	C₂³	1	6	yes	—
184	#121×C₄₇	C₂³	1	12	yes	—
185	#121×C₄₇	C₂³	1	24	yes	—
186	#121×C₄₇	C₂³	1	24	yes	—
187	#121×C₄₇	C₂³	1	12	yes	—
188	#121×C₄₇	C₂³	1	12	yes	—
189	#121×C₄₇	C₂³	1	24	yes	—
190	#121×C₄₇	C₂³	1	12	yes	—
191	#121×C₄₇	C₂³	1	12	yes	—
192	#121×C₄₇	C₂³	1	6	yes	—
193	#121×C₄₇	C₂³	1	6	yes	—
194	#121×C₄₇	C₂³	1	12	yes	—
195	#121×C₄₇	C₂³	1	12	yes	—
196	#121×C₄₇	C₂³	1	12	yes	—
197	#121×C₄₇	C₂³	1	12	yes	—
198	#121×C₄₇	C₂³	1	6	yes	—
199	#121×C₄₇	C₂³	1	6	yes	—
200	#121×C₄₇	C₂³	1	6	yes	—
201	#121×C₄₇	C₂³	1	6	yes	—
202	#121×C₄₇	C₂³	1	24	yes	—
203	#121×C₄₇	C₂³	1	24	yes	—
204	#121×C₄₇	C₂³	1	24	yes	—
205	#120×C₄₇	C₂³	1	12	yes	—
206	#120×C₄₇	C₂³	1	24	yes	—
207	#120×C₄₇	C₂³	1	12	yes	—
208	#120×C₄₇	C₂³	1	24	yes	—
209	#120×C₄₇	C₂³	1	24	yes	—
210	#120×C₄₇	C₂³	1	24	yes	—
211	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
212	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
213	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
214	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
215	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
218	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
219	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
220	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
221	C₄×D₄×C₄₇	C₂³	1	2	yes	—
222	C₄×D₄×C₄₇	C₂³	1	3	yes	—
223	C₄×D₄×C₄₇	C₂³	1	3	yes	—
224	C₄×D₄×C₄₇	C₂³	1	6	yes	—
225	C₄×D₄×C₄₇	C₂³	1	12	yes	—
226	C₄×D₄×C₄₇	C₂³	1	12	yes	—
227	C₄×D₄×C₄₇	C₂³	1	12	yes	—
228	C₄×D₄×C₄₇	C₂³	1	6	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	C₄×D₄×C₄₇	C₂³	1	6	yes	—
233	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₄₇	C₂³	1	6	yes	—
235	C₄×D₄×C₄₇	C₂³	1	6	yes	—
236	C₄×D₄×C₄₇	C₂³	1	6	yes	—
237	C₄×D₄×C₄₇	C₂³	1	3	yes	—
238	C₄×D₄×C₄₇	C₂³	1	3	yes	—
239	C₄×D₄×C₄₇	C₂³	1	6	yes	—
240	C₄×D₄×C₄₇	C₂³	1	3	yes	—
241	C₄×D₄×C₄₇	C₂³	1	6	yes	—
242	C₄×D₄×C₄₇	C₂³	1	6	yes	—
243	C₄×D₄×C₄₇	C₂³	1	12	yes	—
244	C₄×D₄×C₄₇	C₂³	1	12	yes	—
245	C₄×D₄×C₄₇	C₂³	1	12	yes	—
246	C₄×D₄×C₄₇	C₂³	1	12	yes	—
247	C₄×D₄×C₄₇	C₂³	1	12	yes	—
248	#117×C₄₇	C₂³	1	3	yes	—
249	#117×C₄₇	C₂³	1	6	yes	—
250	#117×C₄₇	C₂³	1	6	yes	—
251	#117×C₄₇	C₂³	1	3	yes	—
252	#117×C₄₇	C₂³	1	3	yes	—
253	#117×C₄₇	C₂³	1	6	yes	—
254	#117×C₄₇	C₂³	1	6	yes	—
255	#117×C₄₇	C₂³	1	12	yes	—
256	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
257	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
258	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
259	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	yes	—
260	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
261	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
262	C₂×C₂²⋊C₄×C₄₇	C₂³	1	24	yes	—
263	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
264	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
265	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
266	C₂⁴×C₄₇	C₂⁴	1	12	yes	—
267	C₂⁴×C₄₇	C₂⁴	1	12	yes	—
268	#41×C₄₇	—	2	8	no	—
269	#41×C₄₇	—	2	16	no	—
270	#41×C₄₇	—	2	4	no	—
271	#41×C₄₇	—	2	12	no	—
272	#41×C₄₇	—	4	12	no	—
273	#41×C₄₇	—	4	12	no	—
274	#41×C₄₇	—	4	24	no	—
275	#41×C₄₇	—	4	24	no	—
276	#41×C₄₇	—	4	24	no	—
277	#41×C₄₇	—	4	6	no	—
278	#41×C₄₇	—	4	24	no	—
279	C₂×Q₈×C₄₇	—	2	8	no	—
280	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
281	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
282	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
283	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
284	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
285	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
286	C₂×D₄×C₄₇	—	2	24	no	—
287	C₂×D₄×C₄₇	—	4	12	no	—
288	C₂×D₄×C₄₇	—	4	12	no	—
289	C₂×D₄×C₄₇	—	4	24	no	—
290	C₂×D₄×C₄₇	—	4	24	no	—
291	C₂×D₄×C₄₇	—	4	12	no	—
292	C₂×D₄×C₄₇	—	4	12	no	—
293	C₂×D₄×C₄₇	—	4	24	no	—
294	C₂×D₄×C₄₇	—	4	48	no	—
295	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
296	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
297	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
298	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
299	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
300	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
301	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
302	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
303	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
304	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
305	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
306	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
307	C₂×D₄×C₄₇	C₂⁴	1	24	yes	—
308	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
309	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
310	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
311	C₂×D₄×C₄₇	C₂⁴	1	24	yes	—
312	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
313	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₄₇	—	4	24	no	—
315	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
317	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
318	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
319	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
320	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
321	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
322	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
323	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
324	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
325	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
326	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
327	C₂²×C₄×C₄₇	C₂⁴	1	24	yes	—
328	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
329	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
330	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
331	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
332	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
333	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
334	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
335	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
336	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
337	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
338	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
339	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
340	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
341	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
342	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
343	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
344	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
345	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
346	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
347	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
348	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
349	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
350	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
351	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
352	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
353	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
354	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
355	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
356	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
357	C₂²⋊C₄×C₄₇	C₂⁴	1	24	yes	—
358	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
359	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
360	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
361	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
362	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
363	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
364	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
365	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
366	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
367	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
368	C₄²×C₄₇	C₂⁴	1	2	yes	—
369	C₄²×C₄₇	C₂⁴	1	3	yes	—
370	C₄²×C₄₇	C₂⁴	1	3	yes	—
371	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₄²×C₄₇	C₂⁴	1	3	yes	—
373	C₄²×C₄₇	C₂⁴	1	6	yes	—
374	C₄²×C₄₇	C₂⁴	1	6	yes	—
375	C₄²×C₄₇	C₂⁴	1	6	yes	—
376	C₄²×C₄₇	C₂⁴	1	6	yes	—
377	C₄²×C₄₇	C₂⁴	1	6	yes	—
378	C₂³×C₄₇	—	2	24	no	—
379	C₂³×C₄₇	—	4	12	no	—
380	C₂³×C₄₇	—	4	12	no	—
381	C₂³×C₄₇	—	4	12	no	—
382	C₂³×C₄₇	—	4	12	no	—
383	C₂³×C₄₇	—	4	12	no	—
384	C₂³×C₄₇	C₂⁵	1	3	yes	—
385	C₂³×C₄₇	C₂⁵	1	12	yes	—
386	C₂³×C₄₇	C₂⁵	1	6	yes	—
387	C₂³×C₄₇	C₂⁵	1	2	yes	—
388	Q₈×C₄₇	—	2	12	no	—
389	Q₈×C₄₇	—	2	6	no	—
390	Q₈×C₄₇	—	2	2	no	—
391	Q₈×C₄₇	—	4	2	no	—
392	Q₈×C₄₇	—	4	6	no	—
393	Q₈×C₄₇	H(5,𝔽₂)	1	4	yes	complemented
394	D₄×C₄₇	—	2	24	no	—
395	D₄×C₄₇	—	2	12	no	—
396	D₄×C₄₇	—	2	12	no	—
397	D₄×C₄₇	—	2	6	no	—
398	D₄×C₄₇	—	2	24	no	—
399	D₄×C₄₇	—	2	12	no	—
400	D₄×C₄₇	—	2	12	no	—
401	D₄×C₄₇	—	2	6	no	—
402	D₄×C₄₇	—	4	12	no	—
403	D₄×C₄₇	—	4	6	no	—
404	D₄×C₄₇	—	4	6	no	—
405	D₄×C₄₇	—	4	12	no	—
406	D₄×C₄₇	—	4	12	no	—
407	D₄×C₄₇	—	4	24	no	—
408	D₄×C₄₇	—	4	12	no	—
409	D₄×C₄₇	—	4	12	no	—
410	D₄×C₄₇	—	4	24	no	—
411	D₄×C₄₇	—	4	6	no	—
412	D₄×C₄₇	H(5,𝔽₂)	1	4	yes	complemented
413	C₂×C₄×C₄₇	—	2	12	no	—
414	C₂×C₄×C₄₇	—	2	12	no	—
415	C₂×C₄×C₄₇	—	2	12	no	—
416	C₂×C₄×C₄₇	—	2	24	no	—
417	C₂×C₄×C₄₇	—	2	12	no	—
418	C₂×C₄×C₄₇	—	2	6	no	—
419	C₂×C₄×C₄₇	—	2	6	no	—
420	C₂×C₄×C₄₇	—	2	4	no	—
421	C₂×C₄×C₄₇	—	2	6	no	—
422	C₂×C₄×C₄₇	—	4	4	no	—
423	C₂×C₄×C₄₇	—	4	12	no	—
424	C₂×C₄×C₄₇	—	4	12	no	—
425	C₂×C₄×C₄₇	—	4	24	no	—
426	C₂×C₄×C₄₇	—	4	6	no	—
427	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
428	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
429	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
430	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
431	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
432	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
433	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
434	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
435	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
436	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
437	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
438	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
439	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
440	#63014	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
441	C₂²×C₄₇	—	2	2	no	—
442	C₂²×C₄₇	—	2	2	no	—
443	C₂²×C₄₇	—	2	6	no	—
444	C₂²×C₄₇	—	2	12	no	—
445	C₂²×C₄₇	—	2	3	no	—
446	C₂²×C₄₇	—	2	3	no	—
447	C₂²×C₄₇	—	2	6	no	—
448	C₂²×C₄₇	—	2	12	no	—
449	C₂²×C₄₇	—	2	3	no	—
450	C₂²×C₄₇	—	2	6	no	—
451	C₂²×C₄₇	—	2	12	no	—
452	C₂²×C₄₇	—	8	24	no	—
453	C₂²×C₄₇	—	16	12	no	—
454	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
455	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
456	C₄×C₄₇	—	2	2	no	—
457	C₄×C₄₇	—	2	4	no	—
458	C₄×C₄₇	—	2	3	no	—
459	C₄×C₄₇	—	2	1	no	—
460	C₄×C₄₇	—	2	6	no	—
461	C₄×C₄₇	—	2	6	no	—
462	C₄×C₄₇	—	2	6	no	—
463	C₄×C₄₇	—	2	3	no	—
464	C₄×C₄₇	—	2	2	no	—
465	C₄×C₄₇	—	2	2	no	—
466	C₄×C₄₇	C₂×H(5,𝔽₂)	1	6	yes	—
467	C₄×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
468	C₄×C₄₇	#585	1	2	yes	—
469	#3548	C₂×C₄₇	1	3	yes	complemented
470	#3546	C₂×C₄₇	1	6	yes	complemented
471	#3543	C₂×C₄₇	1	6	yes	complemented
472	#3542	C₂×C₄₇	1	12	yes	complemented
473	#3522	C₂×C₄₇	1	2	yes	complemented
474	#3519	C₂×C₄₇	1	6	yes	complemented
475	#3517	C₂×C₄₇	1	2	yes	complemented
476	#3508	C₂×C₄₇	1	3	yes	complemented
477	#3498	C₂×C₄₇	1	3	yes	complemented
478	#3498	C₂×C₄₇	1	1	yes	characteristic, complemented
479	#3496	C₂×C₄₇	1	6	yes	complemented
480	#3488	C₂×C₄₇	1	4	yes	complemented
481	#3483	C₂×C₄₇	1	1	yes	characteristic, complemented
482	#3482	C₂×C₄₇	1	1	yes	characteristic, complemented
483	#3481	C₂×C₄₇	1	3	yes	complemented
484	D₄×#41	C₂×C₄₇	1	2	yes	complemented
485	C₂×#550	C₂×C₄₇	1	2	yes	complemented
486	C₂×C₄₇	—	2	4	no	—
487	C₂×C₄₇	—	4	6	no	—
488	C₂×C₄₇	—	4	12	no	—
489	C₂×C₄₇	—	4	3	no	—
490	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
491	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
492	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
493	C₂×H(5,𝔽₂)	C₂²×C₄₇	1	2	yes	complemented
494	C₂×H(5,𝔽₂)	C₂²×C₄₇	1	6	yes	complemented
495	C₂²×#41	C₂²×C₄₇	1	4	yes	complemented
496	#562	C₂²×C₄₇	1	12	yes	complemented
497	#560	C₂²×C₄₇	1	24	yes	complemented
498	#559	C₂²×C₄₇	1	3	yes	complemented
499	#559	C₂²×C₄₇	1	6	yes	complemented
500	Q₈²	C₂²×C₄₇	1	1	yes	characteristic, complemented
501	#557	C₂²×C₄₇	1	1	yes	characteristic, complemented
502	#556	C₂²×C₄₇	1	3	yes	complemented
503	#555	C₂²×C₄₇	1	3	yes	complemented
504	#555	C₂²×C₄₇	1	6	yes	complemented
505	#554	C₂²×C₄₇	1	1	yes	characteristic, complemented
506	#554	C₂²×C₄₇	1	3	yes	complemented
507	#554	C₂²×C₄₇	1	6	yes	complemented
508	#553	C₂²×C₄₇	1	6	yes	complemented
509	#553	C₂²×C₄₇	1	6	yes	complemented
510	#553	C₂²×C₄₇	1	12	yes	complemented
511	#552	C₂²×C₄₇	1	6	yes	complemented
512	#551	C₂²×C₄₇	1	12	yes	complemented
513	#550	C₂²×C₄₇	1	1	yes	characteristic, complemented
514	#550	C₂²×C₄₇	1	4	yes	complemented
515	#550	C₂²×C₄₇	1	2	yes	complemented
516	#550	C₂²×C₄₇	1	6	yes	complemented
517	#550	C₂²×C₄₇	1	12	yes	complemented
518	#550	C₂²×C₄₇	1	6	yes	complemented
519	#550	C₂²×C₄₇	1	2	yes	complemented
520	#550	C₂²×C₄₇	1	2	yes	complemented
521	#550	C₂²×C₄₇	1	3	yes	complemented
522	#550	C₂²×C₄₇	1	6	yes	complemented
523	#550	C₂²×C₄₇	1	6	yes	complemented
524	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
525	#548	C₂²×C₄₇	1	4	yes	complemented
526	#548	C₂²×C₄₇	1	2	yes	complemented
527	#547	C₂²×C₄₇	1	6	yes	complemented
528	#547	C₂²×C₄₇	1	3	yes	complemented
529	#547	C₂²×C₄₇	1	6	yes	complemented
530	#547	C₂²×C₄₇	1	12	yes	complemented
531	#546	C₂²×C₄₇	1	12	yes	complemented
532	#546	C₂²×C₄₇	1	6	yes	complemented
533	#546	C₂²×C₄₇	1	6	yes	complemented
534	#546	C₂²×C₄₇	1	12	yes	complemented
535	#546	C₂²×C₄₇	1	12	yes	complemented
536	#546	C₂²×C₄₇	1	12	yes	complemented
537	#546	C₂²×C₄₇	1	24	yes	complemented
538	D₄²	C₂²×C₄₇	1	6	yes	complemented
539	D₄²	C₂²×C₄₇	1	3	yes	complemented
540	D₄²	C₂²×C₄₇	1	12	yes	complemented
541	D₄²	C₂²×C₄₇	1	12	yes	complemented
542	D₄²	C₂²×C₄₇	1	6	yes	complemented
543	D₄²	C₂²×C₄₇	1	6	yes	complemented
544	D₄²	C₂²×C₄₇	1	12	yes	complemented
545	#542	C₂²×C₄₇	1	12	yes	complemented
546	#540	C₂²×C₄₇	1	12	yes	complemented
547	#540	C₂²×C₄₇	1	12	yes	complemented
548	#540	C₂²×C₄₇	1	12	yes	complemented
549	#538	C₂²×C₄₇	1	24	yes	complemented
550	#537	C₂²×C₄₇	1	12	yes	complemented
551	#537	C₂²×C₄₇	1	12	yes	complemented
552	#535	C₂²×C₄₇	1	12	yes	complemented
553	#535	C₂²×C₄₇	1	12	yes	complemented
554	#535	C₂²×C₄₇	1	6	yes	complemented
555	#535	C₂²×C₄₇	1	6	yes	complemented
556	#535	C₂²×C₄₇	1	6	yes	complemented
557	#534	C₂²×C₄₇	1	24	yes	complemented
558	#533	C₂²×C₄₇	1	3	yes	complemented
559	#532	C₂²×C₄₇	1	6	yes	complemented
560	#532	C₂²×C₄₇	1	3	yes	complemented
561	#532	C₂²×C₄₇	1	6	yes	complemented
562	#532	C₂²×C₄₇	1	3	yes	complemented
563	#532	C₂²×C₄₇	1	6	yes	complemented
564	#532	C₂²×C₄₇	1	6	yes	complemented
565	C₂×#127	C₂²×C₄₇	1	6	yes	complemented
566	C₂×#127	C₂²×C₄₇	1	3	yes	complemented
567	#529	C₂²×C₄₇	1	6	yes	complemented
568	#529	C₂²×C₄₇	1	6	yes	complemented
569	#529	C₂²×C₄₇	1	6	yes	complemented
570	#525	C₂²×C₄₇	1	12	yes	complemented
571	#525	C₂²×C₄₇	1	12	yes	complemented
572	C₂×#121	C₂²×C₄₇	1	12	yes	complemented
573	C₂×#121	C₂²×C₄₇	1	12	yes	complemented
574	#520	C₂²×C₄₇	1	4	yes	complemented
575	#518	C₂²×C₄₇	1	6	yes	complemented
576	C₄×#41	C₂²×C₄₇	1	2	yes	complemented
577	C₄×#41	C₂²×C₄₇	1	3	yes	complemented
578	C₄×#41	C₂²×C₄₇	1	3	yes	complemented
579	C₄×#41	C₂²×C₄₇	1	1	yes	characteristic, complemented
580	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
581	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
582	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
583	C₄₇	#63014	1	1	yes	characteristic, direct product factor, Sylow
584	H(5,𝔽₂)	—	4	24	no	—
585	H(5,𝔽₂)	—	4	8	no	—
586	C₂×#41	—	4	16	no	—
587	C₂×#41	C₂³×C₄₇	1	3	yes	—
588	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
589	C₂×#41	C₂³×C₄₇	1	2	yes	—
590	C₂×#41	C₂³×C₄₇	1	4	yes	—
591	C₂×#41	C₂³×C₄₇	1	3	yes	—
592	C₂×#41	C₂³×C₄₇	1	6	yes	—
593	C₂×#41	C₂³×C₄₇	1	12	yes	—
594	C₂×#41	C₂³×C₄₇	1	6	yes	—
595	C₂×#41	C₂³×C₄₇	1	12	yes	—
596	C₂×#41	C₂³×C₄₇	1	12	yes	—
597	C₂×#41	C₂³×C₄₇	1	12	yes	—
598	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
599	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
600	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
601	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
602	C₂²×D₄	C₂³×C₄₇	1	12	yes	—
603	C₂²×D₄	C₂³×C₄₇	1	12	yes	—
604	C₂²×D₄	C₂³×C₄₇	1	24	yes	—
605	C₂²×D₄	C₂³×C₄₇	1	12	yes	—
606	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
607	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
608	C₂³×C₄	C₂³×C₄₇	1	12	yes	—
609	C₄⋊Q₈	C₂³×C₄₇	1	1	yes	characteristic
610	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
611	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
612	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
613	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
614	#127	C₂³×C₄₇	1	6	yes	—
615	#127	C₂³×C₄₇	1	3	yes	—
616	#127	C₂³×C₄₇	1	3	yes	—
617	#127	C₂³×C₄₇	1	6	yes	—
618	#127	C₂³×C₄₇	1	6	yes	—
619	#127	C₂³×C₄₇	1	12	yes	—
620	#127	C₂³×C₄₇	1	12	yes	—
621	#127	C₂³×C₄₇	1	12	yes	—
622	#127	C₂³×C₄₇	1	6	yes	—
623	#126	C₂³×C₄₇	1	12	yes	—
624	#126	C₂³×C₄₇	1	12	yes	—
625	#126	C₂³×C₄₇	1	12	yes	—
626	#125	C₂³×C₄₇	1	2	yes	—
627	#125	C₂³×C₄₇	1	6	yes	—
628	#125	C₂³×C₄₇	1	6	yes	—
629	#125	C₂³×C₄₇	1	6	yes	—
630	#124	C₂³×C₄₇	1	6	yes	—
631	#124	C₂³×C₄₇	1	6	yes	—
632	#124	C₂³×C₄₇	1	6	yes	—
633	#124	C₂³×C₄₇	1	12	yes	—
634	#124	C₂³×C₄₇	1	6	yes	—
635	#124	C₂³×C₄₇	1	6	yes	—
636	#124	C₂³×C₄₇	1	12	yes	—
637	#124	C₂³×C₄₇	1	12	yes	—
638	#123	C₂³×C₄₇	1	12	yes	—
639	#123	C₂³×C₄₇	1	24	yes	—
640	#123	C₂³×C₄₇	1	12	yes	—
641	#123	C₂³×C₄₇	1	12	yes	—
642	#123	C₂³×C₄₇	1	12	yes	—
643	#123	C₂³×C₄₇	1	12	yes	—
644	#123	C₂³×C₄₇	1	24	yes	—
645	#123	C₂³×C₄₇	1	24	yes	—
646	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	—
647	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
648	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
649	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
650	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	—
651	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
652	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
653	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
654	C₂²⋊Q₈	C₂³×C₄₇	1	24	yes	—
655	#121	C₂³×C₄₇	1	12	yes	—
656	#121	C₂³×C₄₇	1	6	yes	—
657	#121	C₂³×C₄₇	1	6	yes	—
658	#121	C₂³×C₄₇	1	12	yes	—
659	#121	C₂³×C₄₇	1	6	yes	—
660	#121	C₂³×C₄₇	1	12	yes	—
661	#121	C₂³×C₄₇	1	24	yes	—
662	#121	C₂³×C₄₇	1	24	yes	—
663	#121	C₂³×C₄₇	1	12	yes	—
664	#121	C₂³×C₄₇	1	12	yes	—
665	#121	C₂³×C₄₇	1	24	yes	—
666	#121	C₂³×C₄₇	1	12	yes	—
667	#121	C₂³×C₄₇	1	12	yes	—
668	#121	C₂³×C₄₇	1	6	yes	—
669	#121	C₂³×C₄₇	1	6	yes	—
670	#121	C₂³×C₄₇	1	12	yes	—
671	#121	C₂³×C₄₇	1	12	yes	—
672	#121	C₂³×C₄₇	1	12	yes	—
673	#121	C₂³×C₄₇	1	12	yes	—
674	#121	C₂³×C₄₇	1	6	yes	—
675	#121	C₂³×C₄₇	1	6	yes	—
676	#121	C₂³×C₄₇	1	6	yes	—
677	#121	C₂³×C₄₇	1	6	yes	—
678	#121	C₂³×C₄₇	1	24	yes	—
679	#121	C₂³×C₄₇	1	24	yes	—
680	#121	C₂³×C₄₇	1	24	yes	—
681	#120	C₂³×C₄₇	1	12	yes	—
682	#120	C₂³×C₄₇	1	24	yes	—
683	#120	C₂³×C₄₇	1	12	yes	—
684	#120	C₂³×C₄₇	1	24	yes	—
685	#120	C₂³×C₄₇	1	24	yes	—
686	#120	C₂³×C₄₇	1	24	yes	—
687	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
688	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
689	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
690	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
691	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
692	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
693	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
694	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
695	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
696	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
697	C₄×D₄	C₂³×C₄₇	1	2	yes	—
698	C₄×D₄	C₂³×C₄₇	1	3	yes	—
699	C₄×D₄	C₂³×C₄₇	1	3	yes	—
700	C₄×D₄	C₂³×C₄₇	1	6	yes	—
701	C₄×D₄	C₂³×C₄₇	1	12	yes	—
702	C₄×D₄	C₂³×C₄₇	1	12	yes	—
703	C₄×D₄	C₂³×C₄₇	1	12	yes	—
704	C₄×D₄	C₂³×C₄₇	1	6	yes	—
705	C₄×D₄	C₂³×C₄₇	1	6	yes	—
706	C₄×D₄	C₂³×C₄₇	1	6	yes	—
707	C₄×D₄	C₂³×C₄₇	1	12	yes	—
708	C₄×D₄	C₂³×C₄₇	1	6	yes	—
709	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
710	C₄×D₄	C₂³×C₄₇	1	6	yes	—
711	C₄×D₄	C₂³×C₄₇	1	6	yes	—
712	C₄×D₄	C₂³×C₄₇	1	6	yes	—
713	C₄×D₄	C₂³×C₄₇	1	3	yes	—
714	C₄×D₄	C₂³×C₄₇	1	3	yes	—
715	C₄×D₄	C₂³×C₄₇	1	6	yes	—
716	C₄×D₄	C₂³×C₄₇	1	3	yes	—
717	C₄×D₄	C₂³×C₄₇	1	6	yes	—
718	C₄×D₄	C₂³×C₄₇	1	6	yes	—
719	C₄×D₄	C₂³×C₄₇	1	12	yes	—
720	C₄×D₄	C₂³×C₄₇	1	12	yes	—
721	C₄×D₄	C₂³×C₄₇	1	12	yes	—
722	C₄×D₄	C₂³×C₄₇	1	12	yes	—
723	C₄×D₄	C₂³×C₄₇	1	12	yes	—
724	#117	C₂³×C₄₇	1	3	yes	—
725	#117	C₂³×C₄₇	1	6	yes	—
726	#117	C₂³×C₄₇	1	6	yes	—
727	#117	C₂³×C₄₇	1	3	yes	—
728	#117	C₂³×C₄₇	1	3	yes	—
729	#117	C₂³×C₄₇	1	6	yes	—
730	#117	C₂³×C₄₇	1	6	yes	—
731	#117	C₂³×C₄₇	1	12	yes	—
732	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
733	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
734	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
735	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₄₇	1	24	yes	—
739	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
740	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
741	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
742	C₂⁴	C₂⁴×C₄₇	1	12	yes	—
743	C₂⁴	C₂⁴×C₄₇	1	12	yes	—
744	#41	—	2	8	no	—
745	#41	—	2	16	no	—
746	#41	—	2	4	no	—
747	#41	—	2	12	no	—
748	#41	—	4	12	no	—
749	#41	—	4	12	no	—
750	#41	—	4	24	no	—
751	#41	—	4	24	no	—
752	#41	—	4	24	no	—
753	#41	—	4	6	no	—
754	#41	—	4	24	no	—
755	C₂×Q₈	—	2	8	no	—
756	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
757	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
758	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
759	C₂×Q₈	C₂⁴×C₄₇	1	2	yes	—
760	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
761	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
762	C₂×D₄	—	2	24	no	—
763	C₂×D₄	—	4	12	no	—
764	C₂×D₄	—	4	12	no	—
765	C₂×D₄	—	4	24	no	—
766	C₂×D₄	—	4	24	no	—
767	C₂×D₄	—	4	12	no	—
768	C₂×D₄	—	4	12	no	—
769	C₂×D₄	—	4	24	no	—
770	C₂×D₄	—	4	48	no	—
771	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
772	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
773	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
774	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
775	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
776	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
777	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
778	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
779	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
780	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
781	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
782	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
783	C₂×D₄	C₂⁴×C₄₇	1	24	yes	—
784	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
785	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
786	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
787	C₂×D₄	C₂⁴×C₄₇	1	24	yes	—
788	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
789	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
790	C₂²×C₄	—	4	24	no	—
791	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
793	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
794	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
795	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
796	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
797	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
798	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
799	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
800	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
801	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
802	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
803	C₂²×C₄	C₂⁴×C₄₇	1	24	yes	—
804	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
805	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
806	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
807	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
808	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
809	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
810	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
811	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
812	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
813	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
814	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
815	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
816	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
817	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
818	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
819	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
820	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
821	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
822	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
823	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
824	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
825	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
826	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
827	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
828	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
829	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
830	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
831	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
832	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
833	C₂²⋊C₄	C₂⁴×C₄₇	1	24	yes	—
834	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
835	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
836	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
837	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
838	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
839	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
840	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
841	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
842	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
843	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
844	C₄²	C₂⁴×C₄₇	1	2	yes	—
845	C₄²	C₂⁴×C₄₇	1	3	yes	—
846	C₄²	C₂⁴×C₄₇	1	3	yes	—
847	C₄²	C₂⁴×C₄₇	1	1	yes	characteristic
848	C₄²	C₂⁴×C₄₇	1	3	yes	—
849	C₄²	C₂⁴×C₄₇	1	6	yes	—
850	C₄²	C₂⁴×C₄₇	1	6	yes	—
851	C₄²	C₂⁴×C₄₇	1	6	yes	—
852	C₄²	C₂⁴×C₄₇	1	6	yes	—
853	C₄²	C₂⁴×C₄₇	1	6	yes	—
854	C₂³	—	2	24	no	—
855	C₂³	—	4	12	no	—
856	C₂³	—	4	12	no	—
857	C₂³	—	4	12	no	—
858	C₂³	—	4	12	no	—
859	C₂³	—	4	12	no	—
860	C₂³	C₂⁵×C₄₇	1	3	yes	—
861	C₂³	C₂⁵×C₄₇	1	12	yes	—
862	C₂³	C₂⁵×C₄₇	1	6	yes	—
863	C₂³	C₂⁵×C₄₇	1	2	yes	—
864	Q₈	—	2	12	no	—
865	Q₈	—	2	6	no	—
866	Q₈	—	2	2	no	—
867	Q₈	—	4	2	no	—
868	Q₈	—	4	6	no	—
869	Q₈	H(5,𝔽₂)×C₄₇	1	4	yes	complemented
870	D₄	—	2	24	no	—
871	D₄	—	2	12	no	—
872	D₄	—	2	12	no	—
873	D₄	—	2	6	no	—
874	D₄	—	2	24	no	—
875	D₄	—	2	12	no	—
876	D₄	—	2	12	no	—
877	D₄	—	2	6	no	—
878	D₄	—	4	12	no	—
879	D₄	—	4	6	no	—
880	D₄	—	4	6	no	—
881	D₄	—	4	12	no	—
882	D₄	—	4	12	no	—
883	D₄	—	4	24	no	—
884	D₄	—	4	12	no	—
885	D₄	—	4	12	no	—
886	D₄	—	4	24	no	—
887	D₄	—	4	6	no	—
888	D₄	H(5,𝔽₂)×C₄₇	1	4	yes	complemented
889	C₂×C₄	—	2	12	no	—
890	C₂×C₄	—	2	12	no	—
891	C₂×C₄	—	2	12	no	—
892	C₂×C₄	—	2	24	no	—
893	C₂×C₄	—	2	12	no	—
894	C₂×C₄	—	2	6	no	—
895	C₂×C₄	—	2	6	no	—
896	C₂×C₄	—	2	4	no	—
897	C₂×C₄	—	2	6	no	—
898	C₂×C₄	—	4	4	no	—
899	C₂×C₄	—	4	12	no	—
900	C₂×C₄	—	4	12	no	—
901	C₂×C₄	—	4	24	no	—
902	C₂×C₄	—	4	6	no	—
903	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
904	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
905	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
906	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
907	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
908	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
909	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
910	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
911	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
912	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
913	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
914	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
915	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
916	C₂²	—	2	2	no	—
917	C₂²	—	2	2	no	—
918	C₂²	—	2	6	no	—
919	C₂²	—	2	12	no	—
920	C₂²	—	2	3	no	—
921	C₂²	—	2	3	no	—
922	C₂²	—	2	6	no	—
923	C₂²	—	2	12	no	—
924	C₂²	—	2	3	no	—
925	C₂²	—	2	6	no	—
926	C₂²	—	2	12	no	—
927	C₂²	—	8	24	no	—
928	C₂²	—	16	12	no	—
929	C₂²	C₂×H(5,𝔽₂)×C₄₇	1	4	yes	—
930	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
931	C₄	—	2	2	no	—
932	C₄	—	2	4	no	—
933	C₄	—	2	3	no	—
934	C₄	—	2	1	no	—
935	C₄	—	2	6	no	—
936	C₄	—	2	6	no	—
937	C₄	—	2	6	no	—
938	C₄	—	2	3	no	—
939	C₄	—	2	2	no	—
940	C₄	—	2	2	no	—
941	C₄	C₂×H(5,𝔽₂)×C₄₇	1	6	yes	—
942	C₄	C₂×H(5,𝔽₂)×C₄₇	1	2	yes	—
943	C₄	C₄₇×#585	1	2	yes	—
944	C₂	—	2	4	no	—
945	C₂	—	4	6	no	—
946	C₂	—	4	12	no	—
947	C₂	—	4	3	no	—
948	C₂	C₂²×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
949	C₂	C₂²×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
950	C₂	C₂×C₄₇×#585	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×#3548	C₂	semidirect
2. C₄₇×#3546	C₂	semidirect
3. C₄₇×#3543	C₂	semidirect
4. C₄₇×#3542	C₂	semidirect
5. C₄₇×#3522	C₂	semidirect
6. C₄₇×#3519	C₂	semidirect
7. C₄₇×#3517	C₂	semidirect
8. C₄₇×#3508	C₂	semidirect
9. C₄₇×#3498	C₂	semidirect
10. C₄₇×#3498	C₂	semidirect
11. C₄₇×#3496	C₂	semidirect
12. C₄₇×#3488	C₂	semidirect
13. C₄₇×#3483	C₂	semidirect
14. C₄₇×#3482	C₂	semidirect
15. C₄₇×#3481	C₂	semidirect
16. D₄×#41×C₄₇	C₂	semidirect
17. C₂×C₄₇×#550	C₂	semidirect
18. C₂×H(5,𝔽₂)×C₄₇	C₂²	semidirect
19. C₂×H(5,𝔽₂)×C₄₇	C₂²	semidirect
20. C₂²×#41×C₄₇	C₂²	semidirect
21. C₄₇×#562	C₂²	semidirect
22. C₄₇×#560	C₂²	semidirect
23. C₄₇×#559	C₂²	semidirect
24. C₄₇×#559	C₂²	semidirect
25. Q₈²×C₄₇	C₂²	semidirect
26. C₄₇×#557	C₂²	semidirect
27. C₄₇×#556	C₂²	semidirect
28. C₄₇×#555	C₂²	semidirect
29. C₄₇×#555	C₂²	semidirect
30. C₄₇×#554	C₂²	semidirect
31. C₄₇×#554	C₂²	semidirect
32. C₄₇×#554	C₂²	semidirect
33. C₄₇×#553	C₂²	semidirect
34. C₄₇×#553	C₂²	semidirect
35. C₄₇×#553	C₂²	semidirect
36. C₄₇×#552	C₂²	semidirect
37. C₄₇×#551	C₂²	semidirect
38. C₄₇×#550	C₂²	semidirect
39. C₄₇×#550	C₂²	semidirect
40. C₄₇×#550	C₂²	semidirect
41. C₄₇×#550	C₂²	semidirect
42. C₄₇×#550	C₂²	semidirect
43. C₄₇×#550	C₂²	semidirect
44. C₄₇×#550	C₂²	semidirect
45. C₄₇×#550	C₂²	semidirect
46. C₄₇×#550	C₂²	semidirect
47. C₄₇×#550	C₂²	semidirect
48. C₄₇×#550	C₂²	semidirect
49. D₄×Q₈×C₄₇	C₂²	semidirect
50. C₄₇×#548	C₂²	semidirect
51. C₄₇×#548	C₂²	semidirect
52. C₄₇×#547	C₂²	semidirect
53. C₄₇×#547	C₂²	semidirect
54. C₄₇×#547	C₂²	semidirect
55. C₄₇×#547	C₂²	semidirect
56. C₄₇×#546	C₂²	semidirect
57. C₄₇×#546	C₂²	semidirect
58. C₄₇×#546	C₂²	semidirect
59. C₄₇×#546	C₂²	semidirect
60. C₄₇×#546	C₂²	semidirect
61. C₄₇×#546	C₂²	semidirect
62. C₄₇×#546	C₂²	semidirect
63. D₄²×C₄₇	C₂²	semidirect
64. D₄²×C₄₇	C₂²	semidirect
65. D₄²×C₄₇	C₂²	semidirect
66. D₄²×C₄₇	C₂²	semidirect
67. D₄²×C₄₇	C₂²	semidirect
68. D₄²×C₄₇	C₂²	semidirect
69. D₄²×C₄₇	C₂²	semidirect
70. C₄₇×#542	C₂²	semidirect
71. C₄₇×#540	C₂²	semidirect
72. C₄₇×#540	C₂²	semidirect
73. C₄₇×#540	C₂²	semidirect
74. C₄₇×#538	C₂²	semidirect
75. C₄₇×#537	C₂²	semidirect
76. C₄₇×#537	C₂²	semidirect
77. C₄₇×#535	C₂²	semidirect
78. C₄₇×#535	C₂²	semidirect
79. C₄₇×#535	C₂²	semidirect
80. C₄₇×#535	C₂²	semidirect
81. C₄₇×#535	C₂²	semidirect
82. C₄₇×#534	C₂²	semidirect
83. C₄₇×#533	C₂²	semidirect
84. C₄₇×#532	C₂²	semidirect
85. C₄₇×#532	C₂²	semidirect
86. C₄₇×#532	C₂²	semidirect
87. C₄₇×#532	C₂²	semidirect
88. C₄₇×#532	C₂²	semidirect
89. C₄₇×#532	C₂²	semidirect
90. C₂×#127×C₄₇	C₂²	semidirect
91. C₂×#127×C₄₇	C₂²	semidirect
92. C₄₇×#529	C₂²	semidirect
93. C₄₇×#529	C₂²	semidirect
94. C₄₇×#529	C₂²	semidirect
95. C₄₇×#525	C₂²	semidirect
96. C₄₇×#525	C₂²	semidirect
97. C₂×#121×C₄₇	C₂²	semidirect
98. C₂×#121×C₄₇	C₂²	semidirect
99. C₄₇×#520	C₂²	semidirect
100. C₄₇×#518	C₂²	semidirect
101. C₄×#41×C₄₇	C₂²	semidirect
102. C₄×#41×C₄₇	C₂²	semidirect
103. C₄×#41×C₄₇	C₂²	semidirect
104. C₄×#41×C₄₇	C₂²	semidirect
105. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
106. C₂×C₄×D₄×C₄₇	C₂²	semidirect
107. C₂×C₄×D₄×C₄₇	C₂²	semidirect
393. Q₈×C₄₇	H(5,𝔽₂)	semidirect
412. D₄×C₄₇	H(5,𝔽₂)	semidirect
440. #63014	C₄₇	direct (N × H)
469. #3548	C₂×C₄₇	semidirect
470. #3546	C₂×C₄₇	semidirect
471. #3543	C₂×C₄₇	semidirect
472. #3542	C₂×C₄₇	semidirect
473. #3522	C₂×C₄₇	semidirect
474. #3519	C₂×C₄₇	semidirect
475. #3517	C₂×C₄₇	semidirect
476. #3508	C₂×C₄₇	semidirect
477. #3498	C₂×C₄₇	semidirect
478. #3498	C₂×C₄₇	semidirect
479. #3496	C₂×C₄₇	semidirect
480. #3488	C₂×C₄₇	semidirect
481. #3483	C₂×C₄₇	semidirect
482. #3482	C₂×C₄₇	semidirect
483. #3481	C₂×C₄₇	semidirect
484. D₄×#41	C₂×C₄₇	semidirect
485. C₂×#550	C₂×C₄₇	semidirect
493. C₂×H(5,𝔽₂)	C₂²×C₄₇	semidirect
494. C₂×H(5,𝔽₂)	C₂²×C₄₇	semidirect
495. C₂²×#41	C₂²×C₄₇	semidirect
496. #562	C₂²×C₄₇	semidirect
497. #560	C₂²×C₄₇	semidirect
498. #559	C₂²×C₄₇	semidirect
499. #559	C₂²×C₄₇	semidirect
500. Q₈²	C₂²×C₄₇	semidirect
501. #557	C₂²×C₄₇	semidirect
502. #556	C₂²×C₄₇	semidirect
503. #555	C₂²×C₄₇	semidirect
504. #555	C₂²×C₄₇	semidirect
505. #554	C₂²×C₄₇	semidirect
506. #554	C₂²×C₄₇	semidirect
507. #554	C₂²×C₄₇	semidirect
508. #553	C₂²×C₄₇	semidirect
509. #553	C₂²×C₄₇	semidirect
510. #553	C₂²×C₄₇	semidirect
511. #552	C₂²×C₄₇	semidirect
512. #551	C₂²×C₄₇	semidirect
513. #550	C₂²×C₄₇	semidirect
514. #550	C₂²×C₄₇	semidirect
515. #550	C₂²×C₄₇	semidirect
516. #550	C₂²×C₄₇	semidirect
517. #550	C₂²×C₄₇	semidirect
518. #550	C₂²×C₄₇	semidirect
519. #550	C₂²×C₄₇	semidirect
520. #550	C₂²×C₄₇	semidirect
521. #550	C₂²×C₄₇	semidirect
522. #550	C₂²×C₄₇	semidirect
523. #550	C₂²×C₄₇	semidirect
524. D₄×Q₈	C₂²×C₄₇	semidirect
525. #548	C₂²×C₄₇	semidirect
526. #548	C₂²×C₄₇	semidirect
527. #547	C₂²×C₄₇	semidirect
528. #547	C₂²×C₄₇	semidirect
529. #547	C₂²×C₄₇	semidirect
530. #547	C₂²×C₄₇	semidirect
531. #546	C₂²×C₄₇	semidirect
532. #546	C₂²×C₄₇	semidirect
533. #546	C₂²×C₄₇	semidirect
534. #546	C₂²×C₄₇	semidirect
535. #546	C₂²×C₄₇	semidirect
536. #546	C₂²×C₄₇	semidirect
537. #546	C₂²×C₄₇	semidirect
538. D₄²	C₂²×C₄₇	semidirect
539. D₄²	C₂²×C₄₇	semidirect
540. D₄²	C₂²×C₄₇	semidirect
541. D₄²	C₂²×C₄₇	semidirect
542. D₄²	C₂²×C₄₇	semidirect
543. D₄²	C₂²×C₄₇	semidirect
544. D₄²	C₂²×C₄₇	semidirect
545. #542	C₂²×C₄₇	semidirect
546. #540	C₂²×C₄₇	semidirect
547. #540	C₂²×C₄₇	semidirect
548. #540	C₂²×C₄₇	semidirect
549. #538	C₂²×C₄₇	semidirect
550. #537	C₂²×C₄₇	semidirect
551. #537	C₂²×C₄₇	semidirect
552. #535	C₂²×C₄₇	semidirect
553. #535	C₂²×C₄₇	semidirect
554. #535	C₂²×C₄₇	semidirect
555. #535	C₂²×C₄₇	semidirect
556. #535	C₂²×C₄₇	semidirect
557. #534	C₂²×C₄₇	semidirect
558. #533	C₂²×C₄₇	semidirect
559. #532	C₂²×C₄₇	semidirect
560. #532	C₂²×C₄₇	semidirect
561. #532	C₂²×C₄₇	semidirect
562. #532	C₂²×C₄₇	semidirect
563. #532	C₂²×C₄₇	semidirect
564. #532	C₂²×C₄₇	semidirect
565. C₂×#127	C₂²×C₄₇	semidirect
566. C₂×#127	C₂²×C₄₇	semidirect
567. #529	C₂²×C₄₇	semidirect
568. #529	C₂²×C₄₇	semidirect
569. #529	C₂²×C₄₇	semidirect
570. #525	C₂²×C₄₇	semidirect
571. #525	C₂²×C₄₇	semidirect
572. C₂×#121	C₂²×C₄₇	semidirect
573. C₂×#121	C₂²×C₄₇	semidirect
574. #520	C₂²×C₄₇	semidirect
575. #518	C₂²×C₄₇	semidirect
576. C₄×#41	C₂²×C₄₇	semidirect
577. C₄×#41	C₂²×C₄₇	semidirect
578. C₄×#41	C₂²×C₄₇	semidirect
579. C₄×#41	C₂²×C₄₇	semidirect
580. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
581. C₂×C₄×D₄	C₂²×C₄₇	semidirect
582. C₂×C₄×D₄	C₂²×C₄₇	semidirect
583. C₄₇	#63014	direct (N × H)
869. Q₈	H(5,𝔽₂)×C₄₇	semidirect
888. D₄	H(5,𝔽₂)×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₄₇×#3548	2
C₄₇×#3546	2
C₄₇×#3543	2
C₄₇×#3542	2
C₄₇×#3522	2
C₄₇×#3519	2
C₄₇×#3517	2
C₄₇×#3508	2
C₄₇×#3498	2
C₄₇×#3496	2
C₄₇×#3488	2
C₄₇×#3483	2
C₄₇×#3482	2
C₄₇×#3481	2
D₄×#41×C₄₇	2
C₂×C₄₇×#550	2
#63014	47

Subgroups — C47×#63014 #26102712

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#63014 #26102712