Subgroups — C₂×C₇×D₄×SD₁₆ #13238257

Order 1792.

3226 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₇×SD₁₆	C₂	1	2	yes	maximal, complemented
2	C₂×C₇×D₄×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₇×D₄²	C₂	1	1	yes	maximal, characteristic
4	C₇×D₄×SD₁₆	C₂	1	16	yes	maximal, direct product factor
5	C₂×C₇×#492	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₇×#465	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#460	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₇×#461	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₇×#448	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#450	C₂	1	2	yes	maximal, complemented
11	C₂×C₄×C₇×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₇×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂³×C₇×Q₈	C₂²	1	2	yes	complemented
14	C₂³×C₇×D₄	—	2	1	no	—
15	C₂³×C₇×D₄	C₂²	1	2	yes	—
16	C₂²×C₇×SD₁₆	—	2	16	no	—
17	C₂²×C₇×SD₁₆	C₂²	1	2	yes	—
18	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₇×SD₁₆	C₂²	1	2	yes	complemented
20	C₂²×C₇×SD₁₆	C₂²	1	2	yes	complemented
21	C₂²×C₇×SD₁₆	C₂²	1	2	yes	complemented
22	C₂²×C₇×SD₁₆	C₂²	1	16	yes	complemented
23	C₂³×C₇×C₈	C₂²	1	2	yes	complemented
24	C₇×D₄×Q₈	—	2	4	no	—
25	C₇×D₄×Q₈	C₂²	1	8	yes	complemented
26	C₇×D₄²	—	2	4	no	—
27	C₇×D₄²	C₂²	1	8	yes	—
28	C₂×C₇×C₄⋊Q₈	—	2	1	no	—
29	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₇×#127	C₂²	1	1	yes	characteristic
31	C₂×C₇×C₂²⋊Q₈	—	2	2	no	—
32	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
33	C₂×C₇×#121	—	2	1	no	—
34	C₂×C₇×#121	C₂²	1	2	yes	—
35	C₂×C₇×#120	—	2	2	no	—
36	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×C₇×D₄	—	2	1	no	—
38	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
40	C₇×#492	C₂²	1	8	yes	complemented
41	C₇×#465	C₂²	1	16	yes	complemented
42	C₇×#461	C₂²	1	8	yes	complemented
43	C₇×#460	C₂²	1	8	yes	complemented
44	C₇×#450	C₂²	1	16	yes	complemented
45	C₇×#448	C₂²	1	16	yes	complemented
46	C₄×C₇×SD₁₆	C₂²	1	8	yes	complemented
47	C₇×C₈×D₄	C₂²	1	8	yes	complemented
48	C₂×C₇×#106	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₇×#103	C₂²	1	2	yes	complemented
52	C₂×C₇×#102	C₂²	1	1	yes	characteristic
53	C₂×C₇×#102	C₂²	1	2	yes	complemented
54	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
55	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
56	C₂×D₄×SD₁₆	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
57	C₂⁵×C₇	—	2	2	no	—
58	C₂²×C₇×Q₈	—	2	2	no	—
59	C₂²×C₇×Q₈	—	2	4	no	—
60	C₂²×C₇×Q₈	—	2	8	no	—
61	C₂²×C₇×Q₈	—	4	4	no	—
62	C₂²×C₇×Q₈	C₂³	1	2	yes	—
63	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
64	C₂²×C₇×Q₈	C₂³	1	8	yes	complemented
65	C₂²×C₇×D₄	—	2	8	no	—
66	C₂²×C₇×D₄	—	2	2	no	—
67	C₂²×C₇×D₄	—	2	8	no	—
68	C₂²×C₇×D₄	—	2	1	no	—
69	C₂²×C₇×D₄	—	2	2	no	—
70	C₂²×C₇×D₄	—	2	4	no	—
71	C₂²×C₇×D₄	—	2	1	no	—
72	C₂²×C₇×D₄	—	4	4	no	—
73	C₂²×C₇×D₄	—	4	8	no	—
74	C₂²×C₇×D₄	D₄	1	1	yes	characteristic
75	C₂²×C₇×D₄	C₂³	1	2	yes	—
76	C₂²×C₇×D₄	C₂³	1	8	yes	—
77	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
78	C₂³×C₄×C₇	—	2	2	no	—
79	C₂³×C₄×C₇	—	2	1	no	—
80	C₂³×C₄×C₇	C₂³	1	2	yes	—
81	C₂×C₇×SD₁₆	—	2	8	no	—
82	C₂×C₇×SD₁₆	—	2	8	no	—
83	C₂×C₇×SD₁₆	—	2	64	no	—
84	C₂×C₇×SD₁₆	—	2	8	no	—
85	C₂×C₇×SD₁₆	—	4	4	no	—
86	C₂×C₇×SD₁₆	D₄	1	8	yes	direct product factor
87	C₂×C₇×SD₁₆	C₂³	1	8	yes	—
88	C₂×C₇×SD₁₆	C₂³	1	4	yes	—
89	C₂×C₇×SD₁₆	C₂³	1	8	yes	complemented
90	C₂×C₇×SD₁₆	C₂³	1	8	yes	complemented
91	C₂×C₇×SD₁₆	C₂³	1	8	yes	complemented
92	C₂²×C₇×C₈	—	2	8	no	—
93	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
94	C₂²×C₇×C₈	C₂³	1	2	yes	—
95	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
96	C₂²×C₇×C₈	C₂³	1	8	yes	complemented
97	C₇×C₄⋊Q₈	—	2	8	no	—
98	C₇×C₄⋊Q₈	—	2	2	no	—
99	C₇×C₄⋊Q₈	C₂³	1	4	yes	complemented
100	C₇×#127	—	2	2	no	—
101	C₇×#127	C₂³	1	4	yes	—
102	C₇×C₂²⋊Q₈	—	2	4	no	—
103	C₇×C₂²⋊Q₈	—	2	16	no	—
104	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
105	C₇×#121	—	2	4	no	—
106	C₇×#121	—	2	8	no	—
107	C₇×#121	C₂³	1	8	yes	—
108	C₇×#120	—	2	16	no	—
109	C₄×C₇×Q₈	—	2	2	no	—
110	C₄×C₇×Q₈	C₂³	1	4	yes	complemented
111	C₄×C₇×D₄	—	2	8	no	—
112	C₄×C₇×D₄	—	2	2	no	—
113	C₄×C₇×D₄	D₄	1	4	yes	—
114	C₄×C₇×D₄	C₂³	1	4	yes	—
115	C₄×C₇×D₄	C₂³	1	4	yes	—
116	C₂×C₇×C₄⋊C₄	—	2	1	no	—
117	C₂×C₇×C₄⋊C₄	—	2	1	no	—
118	C₂×C₇×C₄⋊C₄	—	2	1	no	—
119	C₂×C₇×C₄⋊C₄	—	2	2	no	—
120	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
121	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
124	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
125	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
126	C₂×C₇×C₂²⋊C₄	D₄	1	2	yes	—
127	C₂×C₄²×C₇	—	2	1	no	—
128	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
129	C₇×#106	C₂³	1	4	yes	complemented
130	C₇×C₄⋊C₈	C₂³	1	4	yes	complemented
131	C₇×#103	C₂³	1	4	yes	complemented
132	C₇×#103	C₂³	1	8	yes	complemented
133	C₇×#102	C₂³	1	4	yes	—
134	C₇×#102	C₂³	1	8	yes	complemented
135	C₇×C₂²⋊C₈	C₂³	1	8	yes	complemented
136	C₄×C₇×C₈	C₂³	1	4	yes	complemented
137	C₂³×SD₁₆	C₂×C₇	1	2	yes	complemented
138	C₂×D₄×Q₈	C₂×C₇	1	1	yes	characteristic, complemented
139	C₂×D₄²	C₂×C₇	1	1	yes	characteristic
140	D₄×SD₁₆	C₂×C₇	1	16	yes	direct product factor
141	C₂×#492	C₂×C₇	1	1	yes	characteristic, complemented
142	C₂×#465	C₂×C₇	1	2	yes	complemented
143	C₂×#460	C₂×C₇	1	1	yes	characteristic, complemented
144	C₂×#461	C₂×C₇	1	1	yes	characteristic, complemented
145	C₂×#448	C₂×C₇	1	2	yes	complemented
146	C₂×#450	C₂×C₇	1	2	yes	complemented
147	C₂×C₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
148	C₂×C₈×D₄	C₂×C₇	1	1	yes	characteristic, complemented
149	C₂⁴×C₇	—	2	1	no	—
150	C₂⁴×C₇	—	2	2	no	—
151	C₂⁴×C₇	—	2	8	no	—
152	C₂⁴×C₇	—	4	8	no	—
153	C₂⁴×C₇	—	4	8	no	—
154	C₂⁴×C₇	—	8	4	no	—
155	C₂⁴×C₇	C₂×D₄	1	2	yes	—
156	C₂×C₇×Q₈	—	2	1	no	—
157	C₂×C₇×Q₈	—	2	2	no	—
158	C₂×C₇×Q₈	—	2	8	no	—
159	C₂×C₇×Q₈	—	2	2	no	—
160	C₂×C₇×Q₈	—	2	16	no	—
161	C₂×C₇×Q₈	—	2	4	no	—
162	C₂×C₇×Q₈	—	2	4	no	—
163	C₂×C₇×Q₈	—	4	8	no	—
164	C₂×C₇×Q₈	—	4	8	no	—
165	C₂×C₇×Q₈	—	4	16	no	—
166	C₂×C₇×Q₈	C₂×D₄	1	4	yes	complemented
167	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
168	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
169	C₂×C₇×D₄	—	2	16	no	—
170	C₂×C₇×D₄	—	2	8	no	—
171	C₂×C₇×D₄	—	2	1	no	—
172	C₂×C₇×D₄	—	2	4	no	—
173	C₂×C₇×D₄	—	2	8	no	—
174	C₂×C₇×D₄	—	2	2	no	—
175	C₂×C₇×D₄	—	2	4	no	—
176	C₂×C₇×D₄	—	2	4	no	—
177	C₂×C₇×D₄	—	2	2	no	—
178	C₂×C₇×D₄	—	2	4	no	—
179	C₂×C₇×D₄	—	4	8	no	—
180	C₂×C₇×D₄	—	4	16	no	—
181	C₂×C₇×D₄	—	4	8	no	—
182	C₂×C₇×D₄	—	4	8	no	—
183	C₂×C₇×D₄	—	4	32	no	—
184	C₂×C₇×D₄	—	4	4	no	—
185	C₂×C₇×D₄	—	8	2	no	—
186	C₂×C₇×D₄	SD₁₆	1	8	yes	direct product factor
187	C₂×C₇×D₄	C₂×D₄	1	4	yes	—
188	C₂×C₇×D₄	C₂×D₄	1	4	yes	—
189	C₂×C₇×D₄	C₂⁴	1	4	yes	—
190	C₂×C₇×D₄	C₂⁴	1	2	yes	—
191	C₂²×C₄×C₇	—	2	1	no	—
192	C₂²×C₄×C₇	—	2	4	no	—
193	C₂²×C₄×C₇	—	2	4	no	—
194	C₂²×C₄×C₇	—	2	8	no	—
195	C₂²×C₄×C₇	—	2	1	no	—
196	C₂²×C₄×C₇	—	2	1	no	—
197	C₂²×C₄×C₇	—	2	2	no	—
198	C₂²×C₄×C₇	—	2	4	no	—
199	C₂²×C₄×C₇	—	4	8	no	—
200	C₂²×C₄×C₇	—	4	4	no	—
201	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
202	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
204	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
205	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
206	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
207	C₇×SD₁₆	—	2	16	no	—
208	C₇×SD₁₆	—	2	16	no	—
209	C₇×SD₁₆	—	2	16	no	—
210	C₇×SD₁₆	—	4	8	no	—
211	C₇×SD₁₆	C₂×D₄	1	16	yes	direct product factor
212	C₂×C₇×C₈	—	2	4	no	—
213	C₂×C₇×C₈	—	2	2	no	—
214	C₂×C₇×C₈	—	2	16	no	—
215	C₂×C₇×C₈	C₂×D₄	1	4	yes	complemented
216	C₂×C₇×C₈	C₂⁴	1	2	yes	—
217	C₂×C₇×C₈	C₂⁴	1	4	yes	—
218	C₂×C₇×C₈	C₂⁴	1	2	yes	—
219	C₇×C₄⋊C₄	—	2	4	no	—
220	C₇×C₄⋊C₄	—	2	4	no	—
221	C₇×C₄⋊C₄	—	2	4	no	—
222	C₇×C₄⋊C₄	—	2	8	no	—
223	C₇×C₄⋊C₄	—	2	1	no	—
224	C₇×C₄⋊C₄	—	2	1	no	—
225	C₇×C₄⋊C₄	C₂×D₄	1	4	yes	—
226	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
227	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
228	C₇×C₂²⋊C₄	—	2	8	no	—
229	C₇×C₂²⋊C₄	—	2	4	no	—
230	C₇×C₂²⋊C₄	—	2	8	no	—
231	C₇×C₂²⋊C₄	C₂×D₄	1	8	yes	—
232	C₄²×C₇	—	2	4	no	—
233	C₄²×C₇	C₂×D₄	1	2	yes	—
234	C₄²×C₇	C₂⁴	1	2	yes	—
235	C₂³×Q₈	C₂²×C₇	1	2	yes	complemented
236	C₂³×D₄	—	2	1	no	—
237	C₂³×D₄	C₂²×C₇	1	2	yes	—
238	C₂²×SD₁₆	—	2	16	no	—
239	C₂²×SD₁₆	C₂²×C₇	1	2	yes	—
240	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
241	C₂²×SD₁₆	C₂²×C₇	1	2	yes	complemented
242	C₂²×SD₁₆	C₂²×C₇	1	2	yes	complemented
243	C₂²×SD₁₆	C₂²×C₇	1	2	yes	complemented
244	C₂²×SD₁₆	C₂²×C₇	1	16	yes	complemented
245	C₂³×C₈	C₂²×C₇	1	2	yes	complemented
246	D₄×Q₈	—	2	4	no	—
247	D₄×Q₈	C₂²×C₇	1	8	yes	complemented
248	D₄²	—	2	4	no	—
249	D₄²	C₂²×C₇	1	8	yes	—
250	C₂×C₄⋊Q₈	—	2	1	no	—
251	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
252	C₂×#127	C₂²×C₇	1	1	yes	characteristic
253	C₂×C₂²⋊Q₈	—	2	2	no	—
254	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
255	C₂×#121	—	2	1	no	—
256	C₂×#121	C₂²×C₇	1	2	yes	—
257	C₂×#120	—	2	2	no	—
258	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
259	C₂×C₄×D₄	—	2	1	no	—
260	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
261	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
262	#492	C₂²×C₇	1	8	yes	complemented
263	#465	C₂²×C₇	1	16	yes	complemented
264	#461	C₂²×C₇	1	8	yes	complemented
265	#460	C₂²×C₇	1	8	yes	complemented
266	#450	C₂²×C₇	1	16	yes	complemented
267	#448	C₂²×C₇	1	16	yes	complemented
268	C₄×SD₁₆	C₂²×C₇	1	8	yes	complemented
269	C₈×D₄	C₂²×C₇	1	8	yes	complemented
270	C₂×#106	C₂²×C₇	1	1	yes	characteristic, complemented
271	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
272	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
273	C₂×#103	C₂²×C₇	1	2	yes	complemented
274	C₂×#102	C₂²×C₇	1	1	yes	characteristic
275	C₂×#102	C₂²×C₇	1	2	yes	complemented
276	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	complemented
277	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic, complemented
278	C₂³×C₇	—	2	4	no	—
279	C₂³×C₇	—	2	4	no	—
280	C₂³×C₇	—	2	4	no	—
281	C₂³×C₇	—	2	2	no	—
282	C₂³×C₇	—	2	4	no	—
283	C₂³×C₇	—	4	16	no	—
284	C₂³×C₇	—	4	2	no	—
285	C₂³×C₇	—	4	2	no	—
286	C₂³×C₇	—	4	4	no	—
287	C₂³×C₇	—	4	4	no	—
288	C₂³×C₇	—	4	16	no	—
289	C₂³×C₇	—	4	4	no	—
290	C₂³×C₇	—	8	8	no	—
291	C₂³×C₇	—	8	32	no	—
292	C₂³×C₇	C₂×SD₁₆	1	8	yes	complemented
293	C₂³×C₇	C₂²×D₄	1	4	yes	—
294	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
295	C₇×Q₈	—	2	4	no	—
296	C₇×Q₈	—	2	2	no	—
297	C₇×Q₈	—	2	4	no	—
298	C₇×Q₈	—	2	4	no	—
299	C₇×Q₈	—	4	16	no	—
300	C₇×Q₈	—	4	4	no	—
301	C₇×Q₈	C₂²×D₄	1	4	yes	complemented
302	C₇×D₄	—	2	4	no	—
303	C₇×D₄	—	2	4	no	—
304	C₇×D₄	—	2	2	no	—
305	C₇×D₄	—	2	4	no	—
306	C₇×D₄	—	4	16	no	—
307	C₇×D₄	—	4	16	no	—
308	C₇×D₄	—	4	4	no	—
309	C₇×D₄	—	4	8	no	—
310	C₇×D₄	—	8	4	no	—
311	C₇×D₄	C₂×SD₁₆	1	16	yes	direct product factor
312	C₇×D₄	C₂²×D₄	1	4	yes	—
313	C₂×C₄×C₇	—	2	4	no	—
314	C₂×C₄×C₇	—	2	4	no	—
315	C₂×C₄×C₇	—	2	2	no	—
316	C₂×C₄×C₇	—	2	2	no	—
317	C₂×C₄×C₇	—	2	8	no	—
318	C₂×C₄×C₇	—	2	4	no	—
319	C₂×C₄×C₇	—	2	4	no	—
320	C₂×C₄×C₇	—	2	2	no	—
321	C₂×C₄×C₇	—	2	2	no	—
322	C₂×C₄×C₇	—	2	4	no	—
323	C₂×C₄×C₇	—	4	16	no	—
324	C₂×C₄×C₇	—	4	4	no	—
325	C₂×C₄×C₇	—	4	2	no	—
326	C₂×C₄×C₇	—	4	2	no	—
327	C₂×C₄×C₇	—	4	8	no	—
328	C₂×C₄×C₇	C₂×SD₁₆	1	4	yes	complemented
329	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
330	C₂×C₄×C₇	C₂²×D₄	1	4	yes	—
331	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
332	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
333	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
334	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
335	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
336	C₇×C₈	—	2	4	no	—
337	C₇×C₈	—	2	2	no	—
338	C₇×C₈	C₂²×D₄	1	4	yes	complemented
339	C₂⁵	—	2	2	no	—
340	C₂²×Q₈	—	2	2	no	—
341	C₂²×Q₈	—	2	4	no	—
342	C₂²×Q₈	—	2	8	no	—
343	C₂²×Q₈	—	4	4	no	—
344	C₂²×Q₈	C₂³×C₇	1	2	yes	—
345	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
346	C₂²×Q₈	C₂³×C₇	1	8	yes	complemented
347	C₂²×D₄	—	2	8	no	—
348	C₂²×D₄	—	2	2	no	—
349	C₂²×D₄	—	2	8	no	—
350	C₂²×D₄	—	2	2	no	—
351	C₂²×D₄	—	2	1	no	—
352	C₂²×D₄	—	2	4	no	—
353	C₂²×D₄	—	2	1	no	—
354	C₂²×D₄	—	4	4	no	—
355	C₂²×D₄	—	4	8	no	—
356	C₂²×D₄	C₇×D₄	1	1	yes	characteristic
357	C₂²×D₄	C₂³×C₇	1	2	yes	—
358	C₂²×D₄	C₂³×C₇	1	8	yes	—
359	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
360	C₂³×C₄	—	2	2	no	—
361	C₂³×C₄	—	2	1	no	—
362	C₂³×C₄	C₂³×C₇	1	2	yes	—
363	C₂×SD₁₆	—	2	8	no	—
364	C₂×SD₁₆	—	2	8	no	—
365	C₂×SD₁₆	—	2	64	no	—
366	C₂×SD₁₆	—	2	8	no	—
367	C₂×SD₁₆	—	4	4	no	—
368	C₂×SD₁₆	C₇×D₄	1	8	yes	direct product factor
369	C₂×SD₁₆	C₂³×C₇	1	8	yes	—
370	C₂×SD₁₆	C₂³×C₇	1	4	yes	—
371	C₂×SD₁₆	C₂³×C₇	1	8	yes	complemented
372	C₂×SD₁₆	C₂³×C₇	1	8	yes	complemented
373	C₂×SD₁₆	C₂³×C₇	1	8	yes	complemented
374	C₂²×C₈	—	2	8	no	—
375	C₂²×C₈	C₂³×C₇	1	2	yes	—
376	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
377	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
378	C₂²×C₈	C₂³×C₇	1	8	yes	complemented
379	C₄⋊Q₈	—	2	8	no	—
380	C₄⋊Q₈	—	2	2	no	—
381	C₄⋊Q₈	C₂³×C₇	1	4	yes	complemented
382	#127	—	2	2	no	—
383	#127	C₂³×C₇	1	4	yes	—
384	C₂²⋊Q₈	—	2	4	no	—
385	C₂²⋊Q₈	—	2	16	no	—
386	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
387	#121	—	2	4	no	—
388	#121	—	2	8	no	—
389	#121	C₂³×C₇	1	8	yes	—
390	#120	—	2	16	no	—
391	C₄×Q₈	—	2	2	no	—
392	C₄×Q₈	C₂³×C₇	1	4	yes	complemented
393	C₄×D₄	—	2	8	no	—
394	C₄×D₄	—	2	2	no	—
395	C₄×D₄	C₇×D₄	1	4	yes	—
396	C₄×D₄	C₂³×C₇	1	4	yes	—
397	C₄×D₄	C₂³×C₇	1	4	yes	—
398	C₂×C₄⋊C₄	—	2	1	no	—
399	C₂×C₄⋊C₄	—	2	1	no	—
400	C₂×C₄⋊C₄	—	2	1	no	—
401	C₂×C₄⋊C₄	—	2	2	no	—
402	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
403	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
404	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
405	C₂×C₂²⋊C₄	—	2	2	no	—
406	C₂×C₂²⋊C₄	—	2	1	no	—
407	C₂×C₂²⋊C₄	—	2	2	no	—
408	C₂×C₂²⋊C₄	C₇×D₄	1	2	yes	—
409	C₂×C₄²	—	2	1	no	—
410	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
411	#106	C₂³×C₇	1	4	yes	complemented
412	C₄⋊C₈	C₂³×C₇	1	4	yes	complemented
413	#103	C₂³×C₇	1	4	yes	complemented
414	#103	C₂³×C₇	1	8	yes	complemented
415	#102	C₂³×C₇	1	4	yes	—
416	#102	C₂³×C₇	1	8	yes	complemented
417	C₂²⋊C₈	C₂³×C₇	1	8	yes	complemented
418	C₄×C₈	C₂³×C₇	1	4	yes	complemented
419	C₂²×C₇	—	2	4	no	—
420	C₂²×C₇	—	2	16	no	—
421	C₂²×C₇	—	2	4	no	—
422	C₂²×C₇	—	2	4	no	—
423	C₂²×C₇	—	4	8	no	—
424	C₂²×C₇	—	4	2	no	—
425	C₂²×C₇	—	4	2	no	—
426	C₂²×C₇	—	4	4	no	—
427	C₂²×C₇	—	4	4	no	—
428	C₂²×C₇	—	4	4	no	—
429	C₂²×C₇	—	8	32	no	—
430	C₂²×C₇	—	8	8	no	—
431	C₂²×C₇	D₄²	1	2	yes	—
432	C₂²×C₇	C₂²×SD₁₆	1	2	yes	—
433	C₂²×C₇	C₂²×SD₁₆	1	8	yes	complemented
434	C₂²×C₇	#577	1	2	yes	—
435	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
436	C₄×C₇	—	2	4	no	—
437	C₄×C₇	—	2	4	no	—
438	C₄×C₇	—	2	2	no	—
439	C₄×C₇	—	4	4	no	—
440	C₄×C₇	—	4	2	no	—
441	C₄×C₇	—	4	2	no	—
442	C₄×C₇	D₄²	1	2	yes	—
443	C₄×C₇	C₂²×SD₁₆	1	4	yes	complemented
444	C₄×C₇	C₂³×D₄	1	1	yes	characteristic
445	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
446	C₂⁴	—	2	1	no	—
447	C₂⁴	—	2	2	no	—
448	C₂⁴	—	2	8	no	—
449	C₂⁴	—	4	8	no	—
450	C₂⁴	—	4	8	no	—
451	C₂⁴	—	8	4	no	—
452	C₂⁴	C₂×C₇×D₄	1	2	yes	—
453	C₂×Q₈	—	2	1	no	—
454	C₂×Q₈	—	2	2	no	—
455	C₂×Q₈	—	2	8	no	—
456	C₂×Q₈	—	2	2	no	—
457	C₂×Q₈	—	2	16	no	—
458	C₂×Q₈	—	2	4	no	—
459	C₂×Q₈	—	2	4	no	—
460	C₂×Q₈	—	4	8	no	—
461	C₂×Q₈	—	4	8	no	—
462	C₂×Q₈	—	4	16	no	—
463	C₂×Q₈	C₂×C₇×D₄	1	4	yes	complemented
464	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
465	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
466	C₂×D₄	—	2	16	no	—
467	C₂×D₄	—	2	8	no	—
468	C₂×D₄	—	2	1	no	—
469	C₂×D₄	—	2	4	no	—
470	C₂×D₄	—	2	8	no	—
471	C₂×D₄	—	2	2	no	—
472	C₂×D₄	—	2	4	no	—
473	C₂×D₄	—	2	4	no	—
474	C₂×D₄	—	2	2	no	—
475	C₂×D₄	—	2	4	no	—
476	C₂×D₄	—	4	8	no	—
477	C₂×D₄	—	4	16	no	—
478	C₂×D₄	—	4	8	no	—
479	C₂×D₄	—	4	8	no	—
480	C₂×D₄	—	4	32	no	—
481	C₂×D₄	—	4	4	no	—
482	C₂×D₄	—	8	2	no	—
483	C₂×D₄	C₇×SD₁₆	1	8	yes	direct product factor
484	C₂×D₄	C₂×C₇×D₄	1	4	yes	—
485	C₂×D₄	C₂×C₇×D₄	1	4	yes	—
486	C₂×D₄	C₂⁴×C₇	1	4	yes	—
487	C₂×D₄	C₂⁴×C₇	1	2	yes	—
488	C₂²×C₄	—	2	1	no	—
489	C₂²×C₄	—	2	4	no	—
490	C₂²×C₄	—	2	4	no	—
491	C₂²×C₄	—	2	1	no	—
492	C₂²×C₄	—	2	1	no	—
493	C₂²×C₄	—	2	2	no	—
494	C₂²×C₄	—	2	8	no	—
495	C₂²×C₄	—	2	4	no	—
496	C₂²×C₄	—	4	8	no	—
497	C₂²×C₄	—	4	4	no	—
498	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
499	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
500	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
501	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
502	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
503	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
504	SD₁₆	—	2	16	no	—
505	SD₁₆	—	2	16	no	—
506	SD₁₆	—	2	16	no	—
507	SD₁₆	—	4	8	no	—
508	SD₁₆	C₂×C₇×D₄	1	16	yes	direct product factor
509	C₂×C₈	—	2	4	no	—
510	C₂×C₈	—	2	2	no	—
511	C₂×C₈	—	2	16	no	—
512	C₂×C₈	C₂×C₇×D₄	1	4	yes	complemented
513	C₂×C₈	C₂⁴×C₇	1	2	yes	—
514	C₂×C₈	C₂⁴×C₇	1	4	yes	—
515	C₂×C₈	C₂⁴×C₇	1	2	yes	—
516	C₄⋊C₄	—	2	4	no	—
517	C₄⋊C₄	—	2	4	no	—
518	C₄⋊C₄	—	2	4	no	—
519	C₄⋊C₄	—	2	8	no	—
520	C₄⋊C₄	—	2	1	no	—
521	C₄⋊C₄	—	2	1	no	—
522	C₄⋊C₄	C₂×C₇×D₄	1	4	yes	—
523	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
524	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
525	C₂²⋊C₄	—	2	8	no	—
526	C₂²⋊C₄	—	2	4	no	—
527	C₂²⋊C₄	—	2	8	no	—
528	C₂²⋊C₄	C₂×C₇×D₄	1	8	yes	—
529	C₄²	—	2	4	no	—
530	C₄²	C₂×C₇×D₄	1	2	yes	—
531	C₄²	C₂⁴×C₇	1	2	yes	—
532	C₂×C₇	—	2	8	no	—
533	C₂×C₇	—	4	4	no	—
534	C₂×C₇	—	8	4	no	—
535	C₂×C₇	D₄×SD₁₆	1	4	yes	direct product factor
536	C₂×C₇	C₂×D₄²	1	1	yes	characteristic
537	C₂×C₇	C₂³×SD₁₆	1	1	yes	characteristic
538	C₂×C₇	C₂×#577	1	1	yes	characteristic
539	C₂³	—	2	4	no	—
540	C₂³	—	2	4	no	—
541	C₂³	—	2	2	no	—
542	C₂³	—	2	4	no	—
543	C₂³	—	2	4	no	—
544	C₂³	—	4	16	no	—
545	C₂³	—	4	2	no	—
546	C₂³	—	4	2	no	—
547	C₂³	—	4	4	no	—
548	C₂³	—	4	4	no	—
549	C₂³	—	4	16	no	—
550	C₂³	—	4	4	no	—
551	C₂³	—	8	8	no	—
552	C₂³	—	8	32	no	—
553	C₂³	C₂×C₇×SD₁₆	1	8	yes	complemented
554	C₂³	C₂²×C₇×D₄	1	4	yes	—
555	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
556	Q₈	—	2	2	no	—
557	Q₈	—	2	4	no	—
558	Q₈	—	2	4	no	—
559	Q₈	—	2	4	no	—
560	Q₈	—	4	16	no	—
561	Q₈	—	4	4	no	—
562	Q₈	C₂²×C₇×D₄	1	4	yes	complemented
563	D₄	—	2	4	no	—
564	D₄	—	2	2	no	—
565	D₄	—	2	4	no	—
566	D₄	—	2	4	no	—
567	D₄	—	4	16	no	—
568	D₄	—	4	16	no	—
569	D₄	—	4	4	no	—
570	D₄	—	4	8	no	—
571	D₄	—	8	4	no	—
572	D₄	C₂×C₇×SD₁₆	1	16	yes	direct product factor
573	D₄	C₂²×C₇×D₄	1	4	yes	—
574	C₂×C₄	—	2	2	no	—
575	C₂×C₄	—	2	4	no	—
576	C₂×C₄	—	2	4	no	—
577	C₂×C₄	—	2	2	no	—
578	C₂×C₄	—	2	4	no	—
579	C₂×C₄	—	2	4	no	—
580	C₂×C₄	—	2	8	no	—
581	C₂×C₄	—	2	2	no	—
582	C₂×C₄	—	2	2	no	—
583	C₂×C₄	—	2	4	no	—
584	C₂×C₄	—	4	16	no	—
585	C₂×C₄	—	4	4	no	—
586	C₂×C₄	—	4	2	no	—
587	C₂×C₄	—	4	2	no	—
588	C₂×C₄	—	4	8	no	—
589	C₂×C₄	C₂×C₇×SD₁₆	1	4	yes	complemented
590	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
591	C₂×C₄	C₂²×C₇×D₄	1	4	yes	—
592	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
593	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
594	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
595	C₂×C₄	C₇×H(5,𝔽₂)	1	2	yes	—
596	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
597	C₈	—	2	4	no	—
598	C₈	—	2	2	no	—
599	C₈	C₂²×C₇×D₄	1	4	yes	complemented
600	C₇	C₂×D₄×SD₁₆	1	1	yes	characteristic, direct product factor, Sylow
601	C₂²	—	2	4	no	—
602	C₂²	—	2	16	no	—
603	C₂²	—	2	4	no	—
604	C₂²	—	2	4	no	—
605	C₂²	—	4	2	no	—
606	C₂²	—	4	2	no	—
607	C₂²	—	4	8	no	—
608	C₂²	—	4	4	no	—
609	C₂²	—	4	4	no	—
610	C₂²	—	4	4	no	—
611	C₂²	—	8	32	no	—
612	C₂²	—	8	8	no	—
613	C₂²	C₇×D₄²	1	2	yes	—
614	C₂²	C₂²×C₇×SD₁₆	1	2	yes	—
615	C₂²	C₂²×C₇×SD₁₆	1	8	yes	complemented
616	C₂²	C₇×#577	1	2	yes	—
617	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
618	C₄	—	2	2	no	—
619	C₄	—	2	4	no	—
620	C₄	—	2	4	no	—
621	C₄	—	4	2	no	—
622	C₄	—	4	2	no	—
623	C₄	—	4	4	no	—
624	C₄	C₇×D₄²	1	2	yes	—
625	C₄	C₂²×C₇×SD₁₆	1	4	yes	complemented
626	C₄	C₂³×C₇×D₄	1	1	yes	characteristic
627	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
628	C₂	—	2	8	no	—
629	C₂	—	4	4	no	—
630	C₂	—	8	4	no	—
631	C₂	C₇×D₄×SD₁₆	1	4	yes	direct product factor
632	C₂	C₂×C₇×D₄²	1	1	yes	characteristic
633	C₂	C₂³×C₇×SD₁₆	1	1	yes	characteristic
634	C₂	C₂×C₇×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₂×C₇×D₄²	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ C₂×C₄×C₇×D₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×C₇×SD₁₆	C₂	semidirect
2. C₂×C₇×D₄×Q₈	C₂	semidirect
4. C₇×D₄×SD₁₆	C₂	direct (N × H)
5. C₂×C₇×#492	C₂	semidirect
6. C₂×C₇×#465	C₂	semidirect
7. C₂×C₇×#460	C₂	semidirect
8. C₂×C₇×#461	C₂	semidirect
9. C₂×C₇×#448	C₂	semidirect
10. C₂×C₇×#450	C₂	semidirect
11. C₂×C₄×C₇×SD₁₆	C₂	semidirect
12. C₂×C₇×C₈×D₄	C₂	semidirect
13. C₂³×C₇×Q₈	C₂²	semidirect
19. C₂²×C₇×SD₁₆	C₂²	semidirect
20. C₂²×C₇×SD₁₆	C₂²	semidirect
21. C₂²×C₇×SD₁₆	C₂²	semidirect
22. C₂²×C₇×SD₁₆	C₂²	semidirect
23. C₂³×C₇×C₈	C₂²	semidirect
25. C₇×D₄×Q₈	C₂²	semidirect
29. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
32. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₄×C₇×Q₈	C₂²	semidirect
40. C₇×#492	C₂²	semidirect
41. C₇×#465	C₂²	semidirect
42. C₇×#461	C₂²	semidirect
43. C₇×#460	C₂²	semidirect
44. C₇×#450	C₂²	semidirect
45. C₇×#448	C₂²	semidirect
46. C₄×C₇×SD₁₆	C₂²	semidirect
47. C₇×C₈×D₄	C₂²	semidirect
48. C₂×C₇×#106	C₂²	semidirect
49. C₂×C₇×C₄⋊C₈	C₂²	semidirect
50. C₂×C₇×#103	C₂²	semidirect
51. C₂×C₇×#103	C₂²	semidirect
53. C₂×C₇×#102	C₂²	semidirect
54. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
55. C₂×C₄×C₇×C₈	C₂²	semidirect
56. C₂×D₄×SD₁₆	C₇	direct (N × H)
64. C₂²×C₇×Q₈	C₂³	semidirect
86. C₂×C₇×SD₁₆	D₄	direct (N × H)
89. C₂×C₇×SD₁₆	C₂³	semidirect
90. C₂×C₇×SD₁₆	C₂³	semidirect
91. C₂×C₇×SD₁₆	C₂³	semidirect
96. C₂²×C₇×C₈	C₂³	semidirect
99. C₇×C₄⋊Q₈	C₂³	semidirect
104. C₇×C₂²⋊Q₈	C₂³	semidirect
110. C₄×C₇×Q₈	C₂³	semidirect
129. C₇×#106	C₂³	semidirect
130. C₇×C₄⋊C₈	C₂³	semidirect
131. C₇×#103	C₂³	semidirect
132. C₇×#103	C₂³	semidirect
134. C₇×#102	C₂³	semidirect
135. C₇×C₂²⋊C₈	C₂³	semidirect
136. C₄×C₇×C₈	C₂³	semidirect
137. C₂³×SD₁₆	C₂×C₇	semidirect
138. C₂×D₄×Q₈	C₂×C₇	semidirect
140. D₄×SD₁₆	C₂×C₇	direct (N × H)
141. C₂×#492	C₂×C₇	semidirect
142. C₂×#465	C₂×C₇	semidirect
143. C₂×#460	C₂×C₇	semidirect
144. C₂×#461	C₂×C₇	semidirect
145. C₂×#448	C₂×C₇	semidirect
146. C₂×#450	C₂×C₇	semidirect
147. C₂×C₄×SD₁₆	C₂×C₇	semidirect
148. C₂×C₈×D₄	C₂×C₇	semidirect
166. C₂×C₇×Q₈	C₂×D₄	semidirect
186. C₂×C₇×D₄	SD₁₆	direct (N × H)
211. C₇×SD₁₆	C₂×D₄	direct (N × H)
215. C₂×C₇×C₈	C₂×D₄	semidirect
235. C₂³×Q₈	C₂²×C₇	semidirect
241. C₂²×SD₁₆	C₂²×C₇	semidirect
242. C₂²×SD₁₆	C₂²×C₇	semidirect
243. C₂²×SD₁₆	C₂²×C₇	semidirect
244. C₂²×SD₁₆	C₂²×C₇	semidirect
245. C₂³×C₈	C₂²×C₇	semidirect
247. D₄×Q₈	C₂²×C₇	semidirect
251. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
254. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
258. C₂×C₄×Q₈	C₂²×C₇	semidirect
262. #492	C₂²×C₇	semidirect
263. #465	C₂²×C₇	semidirect
264. #461	C₂²×C₇	semidirect
265. #460	C₂²×C₇	semidirect
266. #450	C₂²×C₇	semidirect
267. #448	C₂²×C₇	semidirect
268. C₄×SD₁₆	C₂²×C₇	semidirect
269. C₈×D₄	C₂²×C₇	semidirect
270. C₂×#106	C₂²×C₇	semidirect
271. C₂×C₄⋊C₈	C₂²×C₇	semidirect
272. C₂×#103	C₂²×C₇	semidirect
273. C₂×#103	C₂²×C₇	semidirect
275. C₂×#102	C₂²×C₇	semidirect
276. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
277. C₂×C₄×C₈	C₂²×C₇	semidirect
292. C₂³×C₇	C₂×SD₁₆	semidirect
301. C₇×Q₈	C₂²×D₄	semidirect
311. C₇×D₄	C₂×SD₁₆	direct (N × H)
328. C₂×C₄×C₇	C₂×SD₁₆	semidirect
338. C₇×C₈	C₂²×D₄	semidirect
346. C₂²×Q₈	C₂³×C₇	semidirect
368. C₂×SD₁₆	C₇×D₄	direct (N × H)
371. C₂×SD₁₆	C₂³×C₇	semidirect
372. C₂×SD₁₆	C₂³×C₇	semidirect
373. C₂×SD₁₆	C₂³×C₇	semidirect
378. C₂²×C₈	C₂³×C₇	semidirect
381. C₄⋊Q₈	C₂³×C₇	semidirect
386. C₂²⋊Q₈	C₂³×C₇	semidirect
392. C₄×Q₈	C₂³×C₇	semidirect
411. #106	C₂³×C₇	semidirect
412. C₄⋊C₈	C₂³×C₇	semidirect
413. #103	C₂³×C₇	semidirect
414. #103	C₂³×C₇	semidirect
416. #102	C₂³×C₇	semidirect
417. C₂²⋊C₈	C₂³×C₇	semidirect
418. C₄×C₈	C₂³×C₇	semidirect
433. C₂²×C₇	C₂²×SD₁₆	semidirect
443. C₄×C₇	C₂²×SD₁₆	semidirect
463. C₂×Q₈	C₂×C₇×D₄	semidirect
483. C₂×D₄	C₇×SD₁₆	direct (N × H)
508. SD₁₆	C₂×C₇×D₄	direct (N × H)
512. C₂×C₈	C₂×C₇×D₄	semidirect
535. C₂×C₇	D₄×SD₁₆	direct (N × H)
553. C₂³	C₂×C₇×SD₁₆	semidirect
562. Q₈	C₂²×C₇×D₄	semidirect
572. D₄	C₂×C₇×SD₁₆	direct (N × H)
589. C₂×C₄	C₂×C₇×SD₁₆	semidirect
599. C₈	C₂²×C₇×D₄	semidirect
600. C₇	C₂×D₄×SD₁₆	direct (N × H)
615. C₂²	C₂²×C₇×SD₁₆	semidirect
625. C₄	C₂²×C₇×SD₁₆	semidirect
631. C₂	C₇×D₄×SD₁₆	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₇×SD₁₆	2
C₂×C₇×D₄×Q₈	2
C₂×C₇×D₄²	2
C₇×D₄×SD₁₆	2
C₂×C₇×#492	2
C₂×C₇×#465	2
C₂×C₇×#460	2
C₂×C₇×#461	2
C₂×C₇×#448	2
C₂×C₇×#450	2
C₂×C₄×C₇×SD₁₆	2
C₂×C₇×C₈×D₄	2
C₂×D₄×SD₁₆	7

Subgroups — C2×C7×D4×SD16 #13238257

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×D₄×SD₁₆ #13238257