Subgroups — C₄₇×#62994 #26102692

Order 12032.

7258 conjugacy classes of subgroups.

The subgroup lattice has 932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3524	C₂	1	4	yes	maximal, complemented
2	C₄₇×#3519	C₂	1	6	yes	maximal, complemented
3	C₄₇×#3518	C₂	1	2	yes	maximal, complemented
4	C₄₇×#3514	C₂	1	12	yes	maximal, complemented
5	C₄₇×#3511	C₂	1	3	yes	maximal, complemented
6	C₄₇×#3506	C₂	1	3	yes	maximal, complemented
7	C₄₇×#3503	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₇×#3494	C₂	1	6	yes	maximal, complemented
9	C₄₇×#3493	C₂	1	6	yes	maximal, complemented
10	C₄₇×#3488	C₂	1	2	yes	maximal, complemented
11	C₄₇×#3483	C₂	1	2	yes	maximal, complemented
12	C₄₇×#3475	C₂	1	3	yes	maximal, complemented
13	C₄₇×#3475	C₂	1	6	yes	maximal, complemented
14	C₂×C₄₇×#555	C₂	1	3	yes	maximal, complemented
15	D₄×#41×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×H(5,𝔽₂)×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₇×#3428	C₂	1	2	yes	maximal, complemented
18	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic
19	C₂²×#41×C₄₇	C₂²	1	2	yes	—
20	C₄₇×#559	C₂²	1	12	yes	complemented
21	Q₈²×C₄₇	C₂²	1	2	yes	complemented
22	C₄₇×#557	C₂²	1	2	yes	complemented
23	C₄₇×#556	C₂²	1	1	yes	characteristic, complemented
24	C₄₇×#556	C₂²	1	6	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×#555	C₂²	1	6	yes	complemented
29	C₄₇×#555	C₂²	1	12	yes	complemented
30	C₄₇×#555	C₂²	1	6	yes	complemented
31	C₄₇×#555	C₂²	1	12	yes	complemented
32	C₄₇×#555	C₂²	1	6	yes	complemented
33	C₄₇×#555	C₂²	1	12	yes	complemented
34	C₄₇×#554	C₂²	1	6	yes	complemented
35	C₄₇×#554	C₂²	1	3	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×#553	C₂²	1	12	yes	complemented
40	C₄₇×#552	C₂²	1	6	yes	complemented
41	C₄₇×#552	C₂²	1	6	yes	complemented
42	C₄₇×#552	C₂²	1	12	yes	complemented
43	C₄₇×#551	C₂²	1	24	yes	complemented
44	C₄₇×#551	C₂²	1	12	yes	complemented
45	C₄₇×#550	C₂²	1	1	yes	characteristic, complemented
46	C₄₇×#550	C₂²	1	4	yes	complemented
47	C₄₇×#550	C₂²	1	6	yes	complemented
48	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
49	D₄×Q₈×C₄₇	C₂²	1	6	yes	complemented
50	C₄₇×#548	C₂²	1	2	yes	complemented
51	C₄₇×#548	C₂²	1	4	yes	complemented
52	C₄₇×#548	C₂²	1	12	yes	complemented
53	C₄₇×#547	C₂²	1	3	yes	complemented
54	C₄₇×#547	C₂²	1	3	yes	complemented
55	C₄₇×#547	C₂²	1	6	yes	complemented
56	C₄₇×#546	C₂²	1	6	yes	complemented
57	C₄₇×#546	C₂²	1	12	yes	complemented
58	C₄₇×#546	C₂²	1	6	yes	complemented
59	C₄₇×#546	C₂²	1	24	yes	complemented
60	D₄²×C₄₇	C₂²	1	3	yes	complemented
61	D₄²×C₄₇	C₂²	1	12	yes	complemented
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×#540	C₂²	1	12	yes	complemented
66	C₄₇×#538	C₂²	1	24	yes	complemented
67	C₄₇×#538	C₂²	1	12	yes	complemented
68	C₄₇×#537	C₂²	1	6	yes	complemented
69	C₄₇×#535	C₂²	1	6	yes	complemented
70	C₄₇×#533	C₂²	1	3	yes	complemented
71	C₄₇×#533	C₂²	1	6	yes	complemented
72	C₄₇×#532	C₂²	1	3	yes	complemented
73	C₄₇×#532	C₂²	1	12	yes	complemented
74	C₄₇×#532	C₂²	1	6	yes	complemented
75	C₂×C₄⋊Q₈×C₄₇	C₂²	1	3	yes	complemented
76	C₄₇×#529	C₂²	1	24	yes	complemented
77	C₄₇×#529	C₂²	1	12	yes	complemented
78	C₄₇×#529	C₂²	1	12	yes	complemented
79	C₄₇×#529	C₂²	1	6	yes	complemented
80	C₂×#124×C₄₇	C₂²	1	12	yes	complemented
81	C₄₇×#525	C₂²	1	6	yes	complemented
82	C₄₇×#525	C₂²	1	6	yes	complemented
83	C₄₇×#525	C₂²	1	12	yes	complemented
84	C₂×#121×C₄₇	C₂²	1	6	yes	complemented
85	C₂×#121×C₄₇	C₂²	1	6	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	3	yes	complemented
91	C₄₇×#520	C₂²	1	2	yes	complemented
92	C₄₇×#519	C₂²	1	4	yes	complemented
93	C₄₇×#518	C₂²	1	12	yes	complemented
94	C₄₇×#518	C₂²	1	3	yes	complemented
95	C₄₇×#518	C₂²	1	6	yes	complemented
96	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
97	C₄×#41×C₄₇	C₂²	1	12	yes	complemented
98	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
99	C₄×#41×C₄₇	C₂²	1	3	yes	complemented
100	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
101	C₄×#41×C₄₇	C₂²	1	6	yes	complemented
102	C₂×C₄×D₄×C₄₇	C₂²	1	3	yes	complemented
103	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
104	C₂×C₄×D₄×C₄₇	C₂²	1	3	yes	complemented
105	C₂×#117×C₄₇	C₂²	1	6	yes	complemented
106	C₂×#117×C₄₇	C₂²	1	6	yes	complemented
107	C₂×#117×C₄₇	C₂²	1	6	yes	complemented
108	H(5,𝔽₂)×C₄₇	—	2	8	no	—
109	C₂×#41×C₄₇	—	2	16	no	—
110	C₂×#41×C₄₇	C₂³	1	6	yes	—
111	C₂×#41×C₄₇	C₂³	1	2	yes	—
112	C₂×#41×C₄₇	C₂³	1	3	yes	—
113	C₂×#41×C₄₇	C₂³	1	2	yes	—
114	C₂×#41×C₄₇	C₂³	1	6	yes	—
115	C₂×#41×C₄₇	C₂³	1	6	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	6	yes	—
120	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
121	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
122	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
123	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
124	C₂²×D₄×C₄₇	C₂³	1	12	yes	—
125	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
126	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
127	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
128	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
129	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
130	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
131	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
132	C₄⋊Q₈×C₄₇	C₂³	1	12	yes	—
133	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
134	#127×C₄₇	C₂³	1	3	yes	—
135	#127×C₄₇	C₂³	1	12	yes	—
136	#126×C₄₇	C₂³	1	4	yes	—
137	#126×C₄₇	C₂³	1	12	yes	—
138	#126×C₄₇	C₂³	1	12	yes	—
139	#126×C₄₇	C₂³	1	24	yes	—
140	#126×C₄₇	C₂³	1	24	yes	—
141	#125×C₄₇	C₂³	1	12	yes	—
142	#125×C₄₇	C₂³	1	6	yes	—
143	#125×C₄₇	C₂³	1	12	yes	—
144	#125×C₄₇	C₂³	1	6	yes	—
145	#124×C₄₇	C₂³	1	12	yes	—
146	#124×C₄₇	C₂³	1	24	yes	—
147	#124×C₄₇	C₂³	1	24	yes	—
148	#124×C₄₇	C₂³	1	24	yes	—
149	#124×C₄₇	C₂³	1	2	yes	—
150	#124×C₄₇	C₂³	1	12	yes	—
151	#124×C₄₇	C₂³	1	12	yes	—
152	#124×C₄₇	C₂³	1	6	yes	—
153	#123×C₄₇	C₂³	1	12	yes	—
154	#123×C₄₇	C₂³	1	12	yes	—
155	#123×C₄₇	C₂³	1	24	yes	—
156	#123×C₄₇	C₂³	1	12	yes	—
157	#123×C₄₇	C₂³	1	12	yes	—
158	#123×C₄₇	C₂³	1	24	yes	—
159	#123×C₄₇	C₂³	1	12	yes	—
160	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
161	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
162	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
163	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
164	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
165	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
166	C₂²⋊Q₈×C₄₇	C₂³	1	24	yes	—
167	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
168	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
169	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
170	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
171	#121×C₄₇	C₂³	1	6	yes	—
172	#121×C₄₇	C₂³	1	6	yes	—
173	#121×C₄₇	C₂³	1	12	yes	—
174	#121×C₄₇	C₂³	1	12	yes	—
175	#121×C₄₇	C₂³	1	12	yes	—
176	#121×C₄₇	C₂³	1	24	yes	—
177	#121×C₄₇	C₂³	1	12	yes	—
178	#121×C₄₇	C₂³	1	6	yes	—
179	#121×C₄₇	C₂³	1	6	yes	—
180	#121×C₄₇	C₂³	1	6	yes	—
181	#121×C₄₇	C₂³	1	6	yes	—
182	#121×C₄₇	C₂³	1	24	yes	—
183	#121×C₄₇	C₂³	1	12	yes	—
184	#121×C₄₇	C₂³	1	12	yes	—
185	#121×C₄₇	C₂³	1	6	yes	—
186	#121×C₄₇	C₂³	1	24	yes	—
187	#120×C₄₇	C₂³	1	24	yes	—
188	#120×C₄₇	C₂³	1	12	yes	—
189	#120×C₄₇	C₂³	1	12	yes	—
190	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
191	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
192	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
193	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
194	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
195	C₄×Q₈×C₄₇	C₂³	1	4	yes	—
196	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
197	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
198	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
199	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
200	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
201	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
202	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
203	C₄×D₄×C₄₇	C₂³	1	3	yes	—
204	C₄×D₄×C₄₇	C₂³	1	6	yes	—
205	C₄×D₄×C₄₇	C₂³	1	3	yes	—
206	C₄×D₄×C₄₇	C₂³	1	6	yes	—
207	C₄×D₄×C₄₇	C₂³	1	6	yes	—
208	C₄×D₄×C₄₇	C₂³	1	3	yes	—
209	C₄×D₄×C₄₇	C₂³	1	12	yes	—
210	C₄×D₄×C₄₇	C₂³	1	6	yes	—
211	C₄×D₄×C₄₇	C₂³	1	6	yes	—
212	C₄×D₄×C₄₇	C₂³	1	6	yes	—
213	C₄×D₄×C₄₇	C₂³	1	6	yes	—
214	C₄×D₄×C₄₇	C₂³	1	3	yes	—
215	C₄×D₄×C₄₇	C₂³	1	6	yes	—
216	C₄×D₄×C₄₇	C₂³	1	3	yes	—
217	C₄×D₄×C₄₇	C₂³	1	3	yes	—
218	C₄×D₄×C₄₇	C₂³	1	6	yes	—
219	C₄×D₄×C₄₇	C₂³	1	3	yes	—
220	C₄×D₄×C₄₇	C₂³	1	6	yes	—
221	C₄×D₄×C₄₇	C₂³	1	12	yes	—
222	C₄×D₄×C₄₇	C₂³	1	24	yes	—
223	C₄×D₄×C₄₇	C₂³	1	12	yes	—
224	C₄×D₄×C₄₇	C₂³	1	24	yes	—
225	C₄×D₄×C₄₇	C₂³	1	12	yes	—
226	C₄×D₄×C₄₇	C₂³	1	12	yes	—
227	C₄×D₄×C₄₇	C₂³	1	6	yes	—
228	C₄×D₄×C₄₇	C₂³	1	12	yes	—
229	C₄×D₄×C₄₇	C₂³	1	6	yes	—
230	C₄×D₄×C₄₇	C₂³	1	12	yes	—
231	C₄×D₄×C₄₇	C₂³	1	24	yes	—
232	#117×C₄₇	C₂³	1	6	yes	—
233	#117×C₄₇	C₂³	1	2	yes	—
234	#117×C₄₇	C₂³	1	3	yes	—
235	#117×C₄₇	C₂³	1	6	yes	—
236	#117×C₄₇	C₂³	1	12	yes	—
237	#117×C₄₇	C₂³	1	12	yes	—
238	#117×C₄₇	C₂³	1	12	yes	—
239	#117×C₄₇	C₂³	1	12	yes	—
240	#117×C₄₇	C₂³	1	6	yes	—
241	#117×C₄₇	C₂³	1	12	yes	—
242	#117×C₄₇	C₂³	1	12	yes	—
243	#117×C₄₇	C₂³	1	24	yes	—
244	#117×C₄₇	C₂³	1	3	yes	—
245	#117×C₄₇	C₂³	1	6	yes	—
246	#117×C₄₇	C₂³	1	6	yes	—
247	#117×C₄₇	C₂³	1	12	yes	—
248	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
249	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
250	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
251	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
252	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
253	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
254	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
255	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
256	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
257	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
258	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
259	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
260	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
261	C₂×C₄²×C₄₇	C₂³	1	12	yes	—
262	C₂×C₄²×C₄₇	C₂³	1	12	yes	—
263	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
264	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
265	C₂⁴×C₄₇	C₂⁴	1	6	yes	—
266	C₂⁴×C₄₇	C₂⁴	1	6	yes	—
267	#41×C₄₇	—	2	8	no	—
268	#41×C₄₇	—	2	8	no	—
269	#41×C₄₇	—	2	24	no	—
270	#41×C₄₇	—	2	24	no	—
271	#41×C₄₇	—	2	12	no	—
272	#41×C₄₇	—	4	12	no	—
273	#41×C₄₇	—	8	12	no	—
274	#41×C₄₇	#41	1	8	yes	complemented
275	C₂×Q₈×C₄₇	—	2	8	no	—
276	C₂×Q₈×C₄₇	—	8	6	no	—
277	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
278	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
279	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
280	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
281	C₂×Q₈×C₄₇	C₂⁴	1	12	yes	—
282	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
283	C₂×D₄×C₄₇	—	2	24	no	—
284	C₂×D₄×C₄₇	—	2	24	no	—
285	C₂×D₄×C₄₇	—	2	12	no	—
286	C₂×D₄×C₄₇	—	4	6	no	—
287	C₂×D₄×C₄₇	—	8	12	no	—
288	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
289	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
290	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
291	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
292	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
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	6	yes	—
297	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
298	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
299	C₂×D₄×C₄₇	C₂⁴	1	24	yes	—
300	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
301	C₂²×C₄×C₄₇	—	2	24	no	—
302	C₂²×C₄×C₄₇	—	4	12	no	—
303	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
304	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
305	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
306	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
307	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
308	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
309	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
311	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
312	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
313	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
314	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
315	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
316	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
317	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
318	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
319	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
320	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
321	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
322	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
323	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
324	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
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	3	yes	—
329	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
330	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
331	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
332	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
333	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
334	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
335	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
336	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
337	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
338	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
339	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
340	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
341	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
342	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
343	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
344	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
345	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
346	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
347	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
348	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
349	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
350	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
351	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
352	C₂²⋊C₄×C₄₇	C₂⁴	1	24	yes	—
353	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
354	C₂²⋊C₄×C₄₇	C₂⁴	1	24	yes	—
355	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
356	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
357	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
358	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
359	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
360	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
361	C₄²×C₄₇	C₂⁴	1	12	yes	—
362	C₄²×C₄₇	C₂⁴	1	6	yes	—
363	C₄²×C₄₇	C₂⁴	1	4	yes	—
364	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₄²×C₄₇	C₂⁴	1	2	yes	—
366	C₄²×C₄₇	C₂⁴	1	3	yes	—
367	C₄²×C₄₇	C₂⁴	1	24	yes	—
368	C₄²×C₄₇	C₂⁴	1	6	yes	—
369	C₄²×C₄₇	C₂⁴	1	3	yes	—
370	C₄²×C₄₇	C₂⁴	1	3	yes	—
371	C₄²×C₄₇	C₂⁴	1	12	yes	—
372	C₂³×C₄₇	—	2	12	no	—
373	C₂³×C₄₇	—	2	12	no	—
374	C₂³×C₄₇	—	4	6	no	—
375	C₂³×C₄₇	—	4	6	no	—
376	C₂³×C₄₇	—	4	6	no	—
377	C₂³×C₄₇	—	4	6	no	—
378	C₂³×C₄₇	C₂⁵	1	2	yes	—
379	C₂³×C₄₇	C₂⁵	1	6	yes	—
380	C₂³×C₄₇	C₂⁵	1	6	yes	—
381	C₂³×C₄₇	C₂⁵	1	3	yes	—
382	Q₈×C₄₇	—	2	12	no	—
383	Q₈×C₄₇	—	2	2	no	—
384	Q₈×C₄₇	—	2	4	no	—
385	Q₈×C₄₇	—	4	6	no	—
386	Q₈×C₄₇	—	4	12	no	—
387	Q₈×C₄₇	C₂×#41	1	4	yes	—
388	D₄×C₄₇	—	2	12	no	—
389	D₄×C₄₇	—	2	24	no	—
390	D₄×C₄₇	—	2	6	no	—
391	D₄×C₄₇	—	2	12	no	—
392	D₄×C₄₇	—	2	12	no	—
393	D₄×C₄₇	—	2	2	no	—
394	D₄×C₄₇	—	2	6	no	—
395	D₄×C₄₇	—	4	6	no	—
396	D₄×C₄₇	—	4	12	no	—
397	D₄×C₄₇	—	4	24	no	—
398	D₄×C₄₇	—	4	12	no	—
399	D₄×C₄₇	—	4	6	no	—
400	D₄×C₄₇	C₂×#41	1	12	yes	—
401	C₂×C₄×C₄₇	—	2	12	no	—
402	C₂×C₄×C₄₇	—	2	4	no	—
403	C₂×C₄×C₄₇	—	2	12	no	—
404	C₂×C₄×C₄₇	—	2	12	no	—
405	C₂×C₄×C₄₇	—	2	12	no	—
406	C₂×C₄×C₄₇	—	2	12	no	—
407	C₂×C₄×C₄₇	—	2	6	no	—
408	C₂×C₄×C₄₇	—	2	12	no	—
409	C₂×C₄×C₄₇	—	4	6	no	—
410	C₂×C₄×C₄₇	—	4	12	no	—
411	C₂×C₄×C₄₇	—	4	12	no	—
412	C₂×C₄×C₄₇	—	4	3	no	—
413	C₂×C₄×C₄₇	—	4	12	no	—
414	C₂×C₄×C₄₇	—	4	12	no	—
415	C₂×C₄×C₄₇	—	4	6	no	—
416	C₂×C₄×C₄₇	C₂×#41	1	12	yes	—
417	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
418	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
419	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
420	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
421	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
422	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
423	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
424	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
425	C₂×C₄×C₄₇	C₂⁵	1	12	yes	—
426	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
427	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
428	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
429	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
430	#62994	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
431	C₂²×C₄₇	—	2	3	no	—
432	C₂²×C₄₇	—	2	3	no	—
433	C₂²×C₄₇	—	2	2	no	—
434	C₂²×C₄₇	—	2	6	no	—
435	C₂²×C₄₇	—	2	6	no	—
436	C₂²×C₄₇	—	2	6	no	—
437	C₂²×C₄₇	—	2	6	no	—
438	C₂²×C₄₇	—	2	2	no	—
439	C₂²×C₄₇	—	2	6	no	—
440	C₂²×C₄₇	—	2	6	no	—
441	C₂²×C₄₇	—	2	2	no	—
442	C₂²×C₄₇	—	8	12	no	—
443	C₂²×C₄₇	—	8	12	no	—
444	C₂²×C₄₇	C₂²×#41	1	6	yes	—
445	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
446	C₄×C₄₇	—	2	2	no	—
447	C₄×C₄₇	—	2	2	no	—
448	C₄×C₄₇	—	2	6	no	—
449	C₄×C₄₇	—	2	6	no	—
450	C₄×C₄₇	—	2	3	no	—
451	C₄×C₄₇	—	2	4	no	—
452	C₄×C₄₇	—	2	2	no	—
453	C₄×C₄₇	—	2	12	no	—
454	C₄×C₄₇	—	2	3	no	—
455	C₄×C₄₇	—	2	1	no	—
456	C₄×C₄₇	C₂²×#41	1	2	yes	—
457	C₄×C₄₇	C₂²×#41	1	6	yes	—
458	C₄×C₄₇	#585	1	2	yes	—
459	#3524	C₂×C₄₇	1	4	yes	complemented
460	#3519	C₂×C₄₇	1	6	yes	complemented
461	#3518	C₂×C₄₇	1	2	yes	complemented
462	#3514	C₂×C₄₇	1	12	yes	complemented
463	#3511	C₂×C₄₇	1	3	yes	complemented
464	#3506	C₂×C₄₇	1	3	yes	complemented
465	#3503	C₂×C₄₇	1	1	yes	characteristic, complemented
466	#3494	C₂×C₄₇	1	6	yes	complemented
467	#3493	C₂×C₄₇	1	6	yes	complemented
468	#3488	C₂×C₄₇	1	2	yes	complemented
469	#3483	C₂×C₄₇	1	2	yes	complemented
470	#3475	C₂×C₄₇	1	3	yes	complemented
471	#3475	C₂×C₄₇	1	6	yes	complemented
472	C₂×#555	C₂×C₄₇	1	3	yes	complemented
473	D₄×#41	C₂×C₄₇	1	1	yes	characteristic, complemented
474	C₄×H(5,𝔽₂)	C₂×C₄₇	1	1	yes	characteristic, complemented
475	#3428	C₂×C₄₇	1	2	yes	complemented
476	C₂×C₄₇	—	2	6	no	—
477	C₂×C₄₇	—	4	6	no	—
478	C₂×C₄₇	—	4	6	no	—
479	C₂×C₄₇	—	4	2	no	—
480	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
481	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
482	C₂×C₄₇	H(7,𝔽₂)	1	1	yes	characteristic
483	C₂×H(5,𝔽₂)	C₂²×C₄₇	1	1	yes	characteristic
484	C₂²×#41	C₂²×C₄₇	1	2	yes	—
485	#559	C₂²×C₄₇	1	12	yes	complemented
486	Q₈²	C₂²×C₄₇	1	2	yes	complemented
487	#557	C₂²×C₄₇	1	2	yes	complemented
488	#556	C₂²×C₄₇	1	1	yes	characteristic, complemented
489	#556	C₂²×C₄₇	1	6	yes	complemented
490	#556	C₂²×C₄₇	1	6	yes	complemented
491	#556	C₂²×C₄₇	1	12	yes	complemented
492	#555	C₂²×C₄₇	1	3	yes	complemented
493	#555	C₂²×C₄₇	1	6	yes	complemented
494	#555	C₂²×C₄₇	1	12	yes	complemented
495	#555	C₂²×C₄₇	1	6	yes	complemented
496	#555	C₂²×C₄₇	1	12	yes	complemented
497	#555	C₂²×C₄₇	1	6	yes	complemented
498	#555	C₂²×C₄₇	1	12	yes	complemented
499	#554	C₂²×C₄₇	1	6	yes	complemented
500	#554	C₂²×C₄₇	1	3	yes	complemented
501	#553	C₂²×C₄₇	1	6	yes	complemented
502	#553	C₂²×C₄₇	1	12	yes	complemented
503	#553	C₂²×C₄₇	1	12	yes	complemented
504	#553	C₂²×C₄₇	1	12	yes	complemented
505	#552	C₂²×C₄₇	1	6	yes	complemented
506	#552	C₂²×C₄₇	1	6	yes	complemented
507	#552	C₂²×C₄₇	1	12	yes	complemented
508	#551	C₂²×C₄₇	1	24	yes	complemented
509	#551	C₂²×C₄₇	1	12	yes	complemented
510	#550	C₂²×C₄₇	1	1	yes	characteristic, complemented
511	#550	C₂²×C₄₇	1	4	yes	complemented
512	#550	C₂²×C₄₇	1	6	yes	complemented
513	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
514	D₄×Q₈	C₂²×C₄₇	1	6	yes	complemented
515	#548	C₂²×C₄₇	1	2	yes	complemented
516	#548	C₂²×C₄₇	1	4	yes	complemented
517	#548	C₂²×C₄₇	1	12	yes	complemented
518	#547	C₂²×C₄₇	1	3	yes	complemented
519	#547	C₂²×C₄₇	1	3	yes	complemented
520	#547	C₂²×C₄₇	1	6	yes	complemented
521	#546	C₂²×C₄₇	1	6	yes	complemented
522	#546	C₂²×C₄₇	1	12	yes	complemented
523	#546	C₂²×C₄₇	1	6	yes	complemented
524	#546	C₂²×C₄₇	1	24	yes	complemented
525	D₄²	C₂²×C₄₇	1	3	yes	complemented
526	D₄²	C₂²×C₄₇	1	12	yes	complemented
527	#544	C₂²×C₄₇	1	6	yes	complemented
528	#542	C₂²×C₄₇	1	12	yes	complemented
529	#542	C₂²×C₄₇	1	12	yes	complemented
530	#540	C₂²×C₄₇	1	12	yes	complemented
531	#538	C₂²×C₄₇	1	24	yes	complemented
532	#538	C₂²×C₄₇	1	12	yes	complemented
533	#537	C₂²×C₄₇	1	6	yes	complemented
534	#535	C₂²×C₄₇	1	6	yes	complemented
535	#533	C₂²×C₄₇	1	3	yes	complemented
536	#533	C₂²×C₄₇	1	6	yes	complemented
537	#532	C₂²×C₄₇	1	3	yes	complemented
538	#532	C₂²×C₄₇	1	12	yes	complemented
539	#532	C₂²×C₄₇	1	6	yes	complemented
540	C₂×C₄⋊Q₈	C₂²×C₄₇	1	3	yes	complemented
541	#529	C₂²×C₄₇	1	24	yes	complemented
542	#529	C₂²×C₄₇	1	12	yes	complemented
543	#529	C₂²×C₄₇	1	12	yes	complemented
544	#529	C₂²×C₄₇	1	6	yes	complemented
545	C₂×#124	C₂²×C₄₇	1	12	yes	complemented
546	#525	C₂²×C₄₇	1	6	yes	complemented
547	#525	C₂²×C₄₇	1	6	yes	complemented
548	#525	C₂²×C₄₇	1	12	yes	complemented
549	C₂×#121	C₂²×C₄₇	1	6	yes	complemented
550	C₂×#121	C₂²×C₄₇	1	6	yes	complemented
551	#520	C₂²×C₄₇	1	1	yes	characteristic
552	#520	C₂²×C₄₇	1	2	yes	—
553	#520	C₂²×C₄₇	1	6	yes	complemented
554	#520	C₂²×C₄₇	1	6	yes	complemented
555	#520	C₂²×C₄₇	1	3	yes	complemented
556	#520	C₂²×C₄₇	1	2	yes	complemented
557	#519	C₂²×C₄₇	1	4	yes	complemented
558	#518	C₂²×C₄₇	1	12	yes	complemented
559	#518	C₂²×C₄₇	1	3	yes	complemented
560	#518	C₂²×C₄₇	1	6	yes	complemented
561	C₄×#41	C₂²×C₄₇	1	1	yes	characteristic
562	C₄×#41	C₂²×C₄₇	1	12	yes	complemented
563	C₄×#41	C₂²×C₄₇	1	4	yes	complemented
564	C₄×#41	C₂²×C₄₇	1	3	yes	complemented
565	C₄×#41	C₂²×C₄₇	1	2	yes	complemented
566	C₄×#41	C₂²×C₄₇	1	6	yes	complemented
567	C₂×C₄×D₄	C₂²×C₄₇	1	3	yes	complemented
568	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
569	C₂×C₄×D₄	C₂²×C₄₇	1	3	yes	complemented
570	C₂×#117	C₂²×C₄₇	1	6	yes	complemented
571	C₂×#117	C₂²×C₄₇	1	6	yes	complemented
572	C₂×#117	C₂²×C₄₇	1	6	yes	complemented
573	C₄₇	#62994	1	1	yes	characteristic, direct product factor, Sylow
574	H(5,𝔽₂)	—	2	8	no	—
575	C₂×#41	—	2	16	no	—
576	C₂×#41	C₂³×C₄₇	1	6	yes	—
577	C₂×#41	C₂³×C₄₇	1	2	yes	—
578	C₂×#41	C₂³×C₄₇	1	3	yes	—
579	C₂×#41	C₂³×C₄₇	1	2	yes	—
580	C₂×#41	C₂³×C₄₇	1	6	yes	—
581	C₂×#41	C₂³×C₄₇	1	6	yes	—
582	C₂×#41	C₂³×C₄₇	1	12	yes	—
583	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
584	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
585	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
586	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
587	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
588	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
589	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
590	C₂²×D₄	C₂³×C₄₇	1	12	yes	—
591	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
592	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
593	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
594	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
595	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
596	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
597	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
598	C₄⋊Q₈	C₂³×C₄₇	1	12	yes	—
599	C₄⋊Q₈	C₂³×C₄₇	1	1	yes	characteristic
600	#127	C₂³×C₄₇	1	3	yes	—
601	#127	C₂³×C₄₇	1	12	yes	—
602	#126	C₂³×C₄₇	1	4	yes	—
603	#126	C₂³×C₄₇	1	12	yes	—
604	#126	C₂³×C₄₇	1	12	yes	—
605	#126	C₂³×C₄₇	1	24	yes	—
606	#126	C₂³×C₄₇	1	24	yes	—
607	#125	C₂³×C₄₇	1	12	yes	—
608	#125	C₂³×C₄₇	1	6	yes	—
609	#125	C₂³×C₄₇	1	12	yes	—
610	#125	C₂³×C₄₇	1	6	yes	—
611	#124	C₂³×C₄₇	1	12	yes	—
612	#124	C₂³×C₄₇	1	24	yes	—
613	#124	C₂³×C₄₇	1	24	yes	—
614	#124	C₂³×C₄₇	1	24	yes	—
615	#124	C₂³×C₄₇	1	2	yes	—
616	#124	C₂³×C₄₇	1	12	yes	—
617	#124	C₂³×C₄₇	1	12	yes	—
618	#124	C₂³×C₄₇	1	6	yes	—
619	#123	C₂³×C₄₇	1	12	yes	—
620	#123	C₂³×C₄₇	1	12	yes	—
621	#123	C₂³×C₄₇	1	24	yes	—
622	#123	C₂³×C₄₇	1	12	yes	—
623	#123	C₂³×C₄₇	1	12	yes	—
624	#123	C₂³×C₄₇	1	24	yes	—
625	#123	C₂³×C₄₇	1	12	yes	—
626	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	—
627	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
628	C₂²⋊Q₈	C₂³×C₄₇	1	6	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	12	yes	—
634	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
635	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
636	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
637	#121	C₂³×C₄₇	1	6	yes	—
638	#121	C₂³×C₄₇	1	6	yes	—
639	#121	C₂³×C₄₇	1	12	yes	—
640	#121	C₂³×C₄₇	1	12	yes	—
641	#121	C₂³×C₄₇	1	12	yes	—
642	#121	C₂³×C₄₇	1	24	yes	—
643	#121	C₂³×C₄₇	1	12	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	6	yes	—
648	#121	C₂³×C₄₇	1	24	yes	—
649	#121	C₂³×C₄₇	1	12	yes	—
650	#121	C₂³×C₄₇	1	12	yes	—
651	#121	C₂³×C₄₇	1	6	yes	—
652	#121	C₂³×C₄₇	1	24	yes	—
653	#120	C₂³×C₄₇	1	24	yes	—
654	#120	C₂³×C₄₇	1	12	yes	—
655	#120	C₂³×C₄₇	1	12	yes	—
656	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
657	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
658	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
659	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
660	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
661	C₄×Q₈	C₂³×C₄₇	1	4	yes	—
662	C₄×Q₈	C₂³×C₄₇	1	12	yes	—
663	C₄×Q₈	C₂³×C₄₇	1	12	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×Q₈	C₂³×C₄₇	1	6	yes	—
668	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
669	C₄×D₄	C₂³×C₄₇	1	3	yes	—
670	C₄×D₄	C₂³×C₄₇	1	6	yes	—
671	C₄×D₄	C₂³×C₄₇	1	3	yes	—
672	C₄×D₄	C₂³×C₄₇	1	6	yes	—
673	C₄×D₄	C₂³×C₄₇	1	6	yes	—
674	C₄×D₄	C₂³×C₄₇	1	3	yes	—
675	C₄×D₄	C₂³×C₄₇	1	12	yes	—
676	C₄×D₄	C₂³×C₄₇	1	6	yes	—
677	C₄×D₄	C₂³×C₄₇	1	6	yes	—
678	C₄×D₄	C₂³×C₄₇	1	6	yes	—
679	C₄×D₄	C₂³×C₄₇	1	6	yes	—
680	C₄×D₄	C₂³×C₄₇	1	3	yes	—
681	C₄×D₄	C₂³×C₄₇	1	6	yes	—
682	C₄×D₄	C₂³×C₄₇	1	3	yes	—
683	C₄×D₄	C₂³×C₄₇	1	3	yes	—
684	C₄×D₄	C₂³×C₄₇	1	6	yes	—
685	C₄×D₄	C₂³×C₄₇	1	3	yes	—
686	C₄×D₄	C₂³×C₄₇	1	6	yes	—
687	C₄×D₄	C₂³×C₄₇	1	12	yes	—
688	C₄×D₄	C₂³×C₄₇	1	24	yes	—
689	C₄×D₄	C₂³×C₄₇	1	12	yes	—
690	C₄×D₄	C₂³×C₄₇	1	24	yes	—
691	C₄×D₄	C₂³×C₄₇	1	12	yes	—
692	C₄×D₄	C₂³×C₄₇	1	12	yes	—
693	C₄×D₄	C₂³×C₄₇	1	6	yes	—
694	C₄×D₄	C₂³×C₄₇	1	12	yes	—
695	C₄×D₄	C₂³×C₄₇	1	6	yes	—
696	C₄×D₄	C₂³×C₄₇	1	12	yes	—
697	C₄×D₄	C₂³×C₄₇	1	24	yes	—
698	#117	C₂³×C₄₇	1	6	yes	—
699	#117	C₂³×C₄₇	1	2	yes	—
700	#117	C₂³×C₄₇	1	3	yes	—
701	#117	C₂³×C₄₇	1	6	yes	—
702	#117	C₂³×C₄₇	1	12	yes	—
703	#117	C₂³×C₄₇	1	12	yes	—
704	#117	C₂³×C₄₇	1	12	yes	—
705	#117	C₂³×C₄₇	1	12	yes	—
706	#117	C₂³×C₄₇	1	6	yes	—
707	#117	C₂³×C₄₇	1	12	yes	—
708	#117	C₂³×C₄₇	1	12	yes	—
709	#117	C₂³×C₄₇	1	24	yes	—
710	#117	C₂³×C₄₇	1	3	yes	—
711	#117	C₂³×C₄₇	1	6	yes	—
712	#117	C₂³×C₄₇	1	6	yes	—
713	#117	C₂³×C₄₇	1	12	yes	—
714	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
715	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	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	6	yes	—
719	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
720	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
727	C₂×C₄²	C₂³×C₄₇	1	12	yes	—
728	C₂×C₄²	C₂³×C₄₇	1	12	yes	—
729	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
730	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
731	C₂⁴	C₂⁴×C₄₇	1	6	yes	—
732	C₂⁴	C₂⁴×C₄₇	1	6	yes	—
733	#41	—	2	8	no	—
734	#41	—	2	8	no	—
735	#41	—	2	24	no	—
736	#41	—	2	24	no	—
737	#41	—	2	12	no	—
738	#41	—	4	12	no	—
739	#41	—	8	12	no	—
740	#41	#41×C₄₇	1	8	yes	complemented
741	C₂×Q₈	—	2	8	no	—
742	C₂×Q₈	—	8	6	no	—
743	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
744	C₂×Q₈	C₂⁴×C₄₇	1	2	yes	—
745	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
746	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
747	C₂×Q₈	C₂⁴×C₄₇	1	12	yes	—
748	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
749	C₂×D₄	—	2	24	no	—
750	C₂×D₄	—	2	24	no	—
751	C₂×D₄	—	2	12	no	—
752	C₂×D₄	—	4	6	no	—
753	C₂×D₄	—	8	12	no	—
754	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
755	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
756	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
757	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
758	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
759	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
760	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
761	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
762	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
763	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
764	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
765	C₂×D₄	C₂⁴×C₄₇	1	24	yes	—
766	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
767	C₂²×C₄	—	2	24	no	—
768	C₂²×C₄	—	4	12	no	—
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	6	yes	—
773	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
774	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
775	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
776	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
777	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
778	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
779	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
780	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
781	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
782	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
783	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
784	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
785	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
786	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
787	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
788	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
789	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
790	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
791	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
792	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
793	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
794	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
795	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
796	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
797	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
798	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
799	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
800	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
801	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
802	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
803	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
804	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
805	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
806	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
807	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
808	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
809	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
810	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
811	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
812	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
813	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
814	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
815	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
816	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
817	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
818	C₂²⋊C₄	C₂⁴×C₄₇	1	24	yes	—
819	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
820	C₂²⋊C₄	C₂⁴×C₄₇	1	24	yes	—
821	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
822	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
823	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
824	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
825	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
826	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
827	C₄²	C₂⁴×C₄₇	1	12	yes	—
828	C₄²	C₂⁴×C₄₇	1	6	yes	—
829	C₄²	C₂⁴×C₄₇	1	4	yes	—
830	C₄²	C₂⁴×C₄₇	1	1	yes	characteristic
831	C₄²	C₂⁴×C₄₇	1	2	yes	—
832	C₄²	C₂⁴×C₄₇	1	3	yes	—
833	C₄²	C₂⁴×C₄₇	1	24	yes	—
834	C₄²	C₂⁴×C₄₇	1	6	yes	—
835	C₄²	C₂⁴×C₄₇	1	3	yes	—
836	C₄²	C₂⁴×C₄₇	1	3	yes	—
837	C₄²	C₂⁴×C₄₇	1	12	yes	—
838	C₂³	—	2	12	no	—
839	C₂³	—	2	12	no	—
840	C₂³	—	4	6	no	—
841	C₂³	—	4	6	no	—
842	C₂³	—	4	6	no	—
843	C₂³	—	4	6	no	—
844	C₂³	C₂⁵×C₄₇	1	2	yes	—
845	C₂³	C₂⁵×C₄₇	1	6	yes	—
846	C₂³	C₂⁵×C₄₇	1	6	yes	—
847	C₂³	C₂⁵×C₄₇	1	3	yes	—
848	Q₈	—	2	12	no	—
849	Q₈	—	2	2	no	—
850	Q₈	—	2	4	no	—
851	Q₈	—	4	6	no	—
852	Q₈	—	4	12	no	—
853	Q₈	C₂×#41×C₄₇	1	4	yes	—
854	D₄	—	2	12	no	—
855	D₄	—	2	24	no	—
856	D₄	—	2	6	no	—
857	D₄	—	2	12	no	—
858	D₄	—	2	12	no	—
859	D₄	—	2	2	no	—
860	D₄	—	2	6	no	—
861	D₄	—	4	6	no	—
862	D₄	—	4	12	no	—
863	D₄	—	4	24	no	—
864	D₄	—	4	12	no	—
865	D₄	—	4	6	no	—
866	D₄	C₂×#41×C₄₇	1	12	yes	—
867	C₂×C₄	—	2	12	no	—
868	C₂×C₄	—	2	4	no	—
869	C₂×C₄	—	2	12	no	—
870	C₂×C₄	—	2	12	no	—
871	C₂×C₄	—	2	12	no	—
872	C₂×C₄	—	2	12	no	—
873	C₂×C₄	—	2	6	no	—
874	C₂×C₄	—	2	12	no	—
875	C₂×C₄	—	4	6	no	—
876	C₂×C₄	—	4	12	no	—
877	C₂×C₄	—	4	12	no	—
878	C₂×C₄	—	4	3	no	—
879	C₂×C₄	—	4	12	no	—
880	C₂×C₄	—	4	12	no	—
881	C₂×C₄	—	4	6	no	—
882	C₂×C₄	C₂×#41×C₄₇	1	12	yes	—
883	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
884	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
885	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
886	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
887	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
888	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
889	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
890	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
891	C₂×C₄	C₂⁵×C₄₇	1	12	yes	—
892	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
893	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
894	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
895	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
896	C₂²	—	2	3	no	—
897	C₂²	—	2	3	no	—
898	C₂²	—	2	2	no	—
899	C₂²	—	2	6	no	—
900	C₂²	—	2	6	no	—
901	C₂²	—	2	6	no	—
902	C₂²	—	2	6	no	—
903	C₂²	—	2	2	no	—
904	C₂²	—	2	6	no	—
905	C₂²	—	2	6	no	—
906	C₂²	—	2	2	no	—
907	C₂²	—	8	12	no	—
908	C₂²	—	8	12	no	—
909	C₂²	C₂²×#41×C₄₇	1	6	yes	—
910	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
911	C₄	—	2	2	no	—
912	C₄	—	2	2	no	—
913	C₄	—	2	6	no	—
914	C₄	—	2	6	no	—
915	C₄	—	2	3	no	—
916	C₄	—	2	4	no	—
917	C₄	—	2	2	no	—
918	C₄	—	2	12	no	—
919	C₄	—	2	3	no	—
920	C₄	—	2	1	no	—
921	C₄	C₂²×#41×C₄₇	1	2	yes	—
922	C₄	C₂²×#41×C₄₇	1	6	yes	—
923	C₄	C₄₇×#585	1	2	yes	—
924	C₂	—	2	6	no	—
925	C₂	—	4	2	no	—
926	C₂	—	4	6	no	—
927	C₂	—	4	6	no	—
928	C₂	C₂³×#41×C₄₇	1	1	yes	characteristic
929	C₂	C₂×C₄₇×#585	1	1	yes	characteristic
930	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×#3524	C₂	semidirect
2. C₄₇×#3519	C₂	semidirect
3. C₄₇×#3518	C₂	semidirect
4. C₄₇×#3514	C₂	semidirect
5. C₄₇×#3511	C₂	semidirect
6. C₄₇×#3506	C₂	semidirect
7. C₄₇×#3503	C₂	semidirect
8. C₄₇×#3494	C₂	semidirect
9. C₄₇×#3493	C₂	semidirect
10. C₄₇×#3488	C₂	semidirect
11. C₄₇×#3483	C₂	semidirect
12. C₄₇×#3475	C₂	semidirect
13. C₄₇×#3475	C₂	semidirect
14. C₂×C₄₇×#555	C₂	semidirect
15. D₄×#41×C₄₇	C₂	semidirect
16. C₄×H(5,𝔽₂)×C₄₇	C₂	semidirect
17. C₄₇×#3428	C₂	semidirect
20. C₄₇×#559	C₂²	semidirect
21. Q₈²×C₄₇	C₂²	semidirect
22. C₄₇×#557	C₂²	semidirect
23. C₄₇×#556	C₂²	semidirect
24. C₄₇×#556	C₂²	semidirect
25. C₄₇×#556	C₂²	semidirect
26. C₄₇×#556	C₂²	semidirect
27. C₄₇×#555	C₂²	semidirect
28. C₄₇×#555	C₂²	semidirect
29. C₄₇×#555	C₂²	semidirect
30. C₄₇×#555	C₂²	semidirect
31. C₄₇×#555	C₂²	semidirect
32. C₄₇×#555	C₂²	semidirect
33. C₄₇×#555	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×#553	C₂²	semidirect
40. C₄₇×#552	C₂²	semidirect
41. C₄₇×#552	C₂²	semidirect
42. C₄₇×#552	C₂²	semidirect
43. C₄₇×#551	C₂²	semidirect
44. C₄₇×#551	C₂²	semidirect
45. C₄₇×#550	C₂²	semidirect
46. C₄₇×#550	C₂²	semidirect
47. C₄₇×#550	C₂²	semidirect
48. D₄×Q₈×C₄₇	C₂²	semidirect
49. D₄×Q₈×C₄₇	C₂²	semidirect
50. C₄₇×#548	C₂²	semidirect
51. C₄₇×#548	C₂²	semidirect
52. C₄₇×#548	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. D₄²×C₄₇	C₂²	semidirect
61. D₄²×C₄₇	C₂²	semidirect
62. C₄₇×#544	C₂²	semidirect
63. C₄₇×#542	C₂²	semidirect
64. C₄₇×#542	C₂²	semidirect
65. C₄₇×#540	C₂²	semidirect
66. C₄₇×#538	C₂²	semidirect
67. C₄₇×#538	C₂²	semidirect
68. C₄₇×#537	C₂²	semidirect
69. C₄₇×#535	C₂²	semidirect
70. C₄₇×#533	C₂²	semidirect
71. C₄₇×#533	C₂²	semidirect
72. C₄₇×#532	C₂²	semidirect
73. C₄₇×#532	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×#124×C₄₇	C₂²	semidirect
81. C₄₇×#525	C₂²	semidirect
82. C₄₇×#525	C₂²	semidirect
83. C₄₇×#525	C₂²	semidirect
84. C₂×#121×C₄₇	C₂²	semidirect
85. C₂×#121×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×#519	C₂²	semidirect
93. C₄₇×#518	C₂²	semidirect
94. C₄₇×#518	C₂²	semidirect
95. C₄₇×#518	C₂²	semidirect
97. C₄×#41×C₄₇	C₂²	semidirect
98. C₄×#41×C₄₇	C₂²	semidirect
99. C₄×#41×C₄₇	C₂²	semidirect
100. C₄×#41×C₄₇	C₂²	semidirect
101. C₄×#41×C₄₇	C₂²	semidirect
102. C₂×C₄×D₄×C₄₇	C₂²	semidirect
103. C₂×C₄×D₄×C₄₇	C₂²	semidirect
104. C₂×C₄×D₄×C₄₇	C₂²	semidirect
105. C₂×#117×C₄₇	C₂²	semidirect
106. C₂×#117×C₄₇	C₂²	semidirect
107. C₂×#117×C₄₇	C₂²	semidirect
274. #41×C₄₇	#41	semidirect
430. #62994	C₄₇	direct (N × H)
459. #3524	C₂×C₄₇	semidirect
460. #3519	C₂×C₄₇	semidirect
461. #3518	C₂×C₄₇	semidirect
462. #3514	C₂×C₄₇	semidirect
463. #3511	C₂×C₄₇	semidirect
464. #3506	C₂×C₄₇	semidirect
465. #3503	C₂×C₄₇	semidirect
466. #3494	C₂×C₄₇	semidirect
467. #3493	C₂×C₄₇	semidirect
468. #3488	C₂×C₄₇	semidirect
469. #3483	C₂×C₄₇	semidirect
470. #3475	C₂×C₄₇	semidirect
471. #3475	C₂×C₄₇	semidirect
472. C₂×#555	C₂×C₄₇	semidirect
473. D₄×#41	C₂×C₄₇	semidirect
474. C₄×H(5,𝔽₂)	C₂×C₄₇	semidirect
475. #3428	C₂×C₄₇	semidirect
485. #559	C₂²×C₄₇	semidirect
486. Q₈²	C₂²×C₄₇	semidirect
487. #557	C₂²×C₄₇	semidirect
488. #556	C₂²×C₄₇	semidirect
489. #556	C₂²×C₄₇	semidirect
490. #556	C₂²×C₄₇	semidirect
491. #556	C₂²×C₄₇	semidirect
492. #555	C₂²×C₄₇	semidirect
493. #555	C₂²×C₄₇	semidirect
494. #555	C₂²×C₄₇	semidirect
495. #555	C₂²×C₄₇	semidirect
496. #555	C₂²×C₄₇	semidirect
497. #555	C₂²×C₄₇	semidirect
498. #555	C₂²×C₄₇	semidirect
499. #554	C₂²×C₄₇	semidirect
500. #554	C₂²×C₄₇	semidirect
501. #553	C₂²×C₄₇	semidirect
502. #553	C₂²×C₄₇	semidirect
503. #553	C₂²×C₄₇	semidirect
504. #553	C₂²×C₄₇	semidirect
505. #552	C₂²×C₄₇	semidirect
506. #552	C₂²×C₄₇	semidirect
507. #552	C₂²×C₄₇	semidirect
508. #551	C₂²×C₄₇	semidirect
509. #551	C₂²×C₄₇	semidirect
510. #550	C₂²×C₄₇	semidirect
511. #550	C₂²×C₄₇	semidirect
512. #550	C₂²×C₄₇	semidirect
513. D₄×Q₈	C₂²×C₄₇	semidirect
514. D₄×Q₈	C₂²×C₄₇	semidirect
515. #548	C₂²×C₄₇	semidirect
516. #548	C₂²×C₄₇	semidirect
517. #548	C₂²×C₄₇	semidirect
518. #547	C₂²×C₄₇	semidirect
519. #547	C₂²×C₄₇	semidirect
520. #547	C₂²×C₄₇	semidirect
521. #546	C₂²×C₄₇	semidirect
522. #546	C₂²×C₄₇	semidirect
523. #546	C₂²×C₄₇	semidirect
524. #546	C₂²×C₄₇	semidirect
525. D₄²	C₂²×C₄₇	semidirect
526. D₄²	C₂²×C₄₇	semidirect
527. #544	C₂²×C₄₇	semidirect
528. #542	C₂²×C₄₇	semidirect
529. #542	C₂²×C₄₇	semidirect
530. #540	C₂²×C₄₇	semidirect
531. #538	C₂²×C₄₇	semidirect
532. #538	C₂²×C₄₇	semidirect
533. #537	C₂²×C₄₇	semidirect
534. #535	C₂²×C₄₇	semidirect
535. #533	C₂²×C₄₇	semidirect
536. #533	C₂²×C₄₇	semidirect
537. #532	C₂²×C₄₇	semidirect
538. #532	C₂²×C₄₇	semidirect
539. #532	C₂²×C₄₇	semidirect
540. C₂×C₄⋊Q₈	C₂²×C₄₇	semidirect
541. #529	C₂²×C₄₇	semidirect
542. #529	C₂²×C₄₇	semidirect
543. #529	C₂²×C₄₇	semidirect
544. #529	C₂²×C₄₇	semidirect
545. C₂×#124	C₂²×C₄₇	semidirect
546. #525	C₂²×C₄₇	semidirect
547. #525	C₂²×C₄₇	semidirect
548. #525	C₂²×C₄₇	semidirect
549. C₂×#121	C₂²×C₄₇	semidirect
550. C₂×#121	C₂²×C₄₇	semidirect
553. #520	C₂²×C₄₇	semidirect
554. #520	C₂²×C₄₇	semidirect
555. #520	C₂²×C₄₇	semidirect
556. #520	C₂²×C₄₇	semidirect
557. #519	C₂²×C₄₇	semidirect
558. #518	C₂²×C₄₇	semidirect
559. #518	C₂²×C₄₇	semidirect
560. #518	C₂²×C₄₇	semidirect
562. C₄×#41	C₂²×C₄₇	semidirect
563. C₄×#41	C₂²×C₄₇	semidirect
564. C₄×#41	C₂²×C₄₇	semidirect
565. C₄×#41	C₂²×C₄₇	semidirect
566. C₄×#41	C₂²×C₄₇	semidirect
567. C₂×C₄×D₄	C₂²×C₄₇	semidirect
568. C₂×C₄×D₄	C₂²×C₄₇	semidirect
569. C₂×C₄×D₄	C₂²×C₄₇	semidirect
570. C₂×#117	C₂²×C₄₇	semidirect
571. C₂×#117	C₂²×C₄₇	semidirect
572. C₂×#117	C₂²×C₄₇	semidirect
573. C₄₇	#62994	direct (N × H)
740. #41	#41×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₄₇×#3524	2
C₄₇×#3519	2
C₄₇×#3518	2
C₄₇×#3514	2
C₄₇×#3511	2
C₄₇×#3506	2
C₄₇×#3503	2
C₄₇×#3494	2
C₄₇×#3493	2
C₄₇×#3488	2
C₄₇×#3483	2
C₄₇×#3475	2
C₂×C₄₇×#555	2
D₄×#41×C₄₇	2
C₄×H(5,𝔽₂)×C₄₇	2
C₄₇×#3428	2
#62994	47

Subgroups — C47×#62994 #26102692

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#62994 #26102692