Subgroups — C₂²×#19099270 #35195241

Order 20224.

8454 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19099270	C₂	1	48	yes	maximal, direct product factor
2	C₂²×#14579161	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#14579152	C₂	1	2	yes	maximal, complemented
4	C₂²×#14579140	C₂	1	2	yes	maximal, complemented
5	C₂²×#14579138	C₂	1	4	yes	maximal, complemented
6	C₂²×C₄×Dic₁₅₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×D₄×Dic₇₉	C₂	1	2	yes	maximal
8	C₂³×C₄⋊Dic₇₉	C₂	1	2	yes	maximal, complemented
9	C₂²×C₄×D₄×C₇₉	C₂	1	1	yes	maximal, characteristic
10	C₂³×Dic₁₅₈	C₂²	1	1	yes	characteristic
11	C₂³×Dic₁₅₈	C₂²	1	2	yes	—
12	C₂⁴×Dic₇₉	C₂²	1	4	yes	—
13	#19099270	C₂²	1	256	yes	direct product factor
14	C₂×#14579161	C₂²	1	24	yes	complemented
15	C₂×#14579152	C₂²	1	48	yes	complemented
16	C₂×#14579140	C₂²	1	48	yes	complemented
17	C₂×#14579138	C₂²	1	96	yes	complemented
18	C₂×C₄×Dic₁₅₈	C₂²	1	24	yes	complemented
19	C₂×D₄×Dic₇₉	C₂²	1	48	yes	—
20	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
21	C₂²×C₄⋊Dic₇₉	C₂²	1	4	yes	—
22	C₂²×C₄⋊Dic₇₉	C₂²	1	2	yes	—
23	C₂²×C₄⋊Dic₇₉	C₂²	1	2	yes	—
24	C₂²×C₄⋊Dic₇₉	C₂²	1	48	yes	complemented
25	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	—
26	C₂²×Dic₇₉⋊C₄	C₂²	1	4	yes	—
27	C₂²×C₂²⋊Dic₇₉	C₂²	1	4	yes	—
28	C₂²×C₄×Dic₇₉	C₂²	1	2	yes	—
29	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic
30	C₂⁴×C₄×C₇₉	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₇₉	C₂²	1	24	yes	—
32	C₂²×C₄⋊C₄×C₇₉	C₂²	1	1	yes	characteristic
33	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	2	yes	—
34	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic
35	C₂²×Dic₁₅₈	—	2	8	no	—
36	C₂²×Dic₁₅₈	—	4	8	no	—
37	C₂²×Dic₁₅₈	C₂³	1	12	yes	—
38	C₂²×Dic₁₅₈	C₂³	1	24	yes	—
39	C₂³×Dic₇₉	—	4	16	no	—
40	C₂³×Dic₇₉	C₂³	1	2	yes	—
41	C₂³×Dic₇₉	C₂³	1	2	yes	—
42	C₂³×Dic₇₉	C₂³	1	4	yes	—
43	C₂³×Dic₇₉	C₂³	1	48	yes	—
44	#14579161	C₂³	1	64	yes	complemented
45	#14579152	C₂³	1	128	yes	complemented
46	#14579140	C₂³	1	128	yes	complemented
47	#14579138	C₂³	1	256	yes	complemented
48	C₄×Dic₁₅₈	C₂³	1	64	yes	complemented
49	D₄×Dic₇₉	C₂³	1	128	yes	—
50	C₂×C₄⋊Dic₇₉	C₂³	1	12	yes	—
51	C₂×C₄⋊Dic₇₉	C₂³	1	48	yes	—
52	C₂×C₄⋊Dic₇₉	C₂³	1	24	yes	—
53	C₂×C₄⋊Dic₇₉	C₂³	1	24	yes	—
54	C₂×C₄⋊Dic₇₉	C₂³	1	128	yes	complemented
55	C₂×Dic₇₉⋊C₄	C₂³	1	24	yes	—
56	C₂×Dic₇₉⋊C₄	C₂³	1	48	yes	—
57	C₂×C₂²⋊Dic₇₉	C₂³	1	48	yes	—
58	C₂×C₄×Dic₇₉	C₂³	1	24	yes	—
59	C₂⁵×C₇₉	C₂³	1	2	yes	—
60	C₂²×D₄×C₇₉	Q₈	1	16	yes	complemented
61	C₂²×D₄×C₇₉	C₂³	1	12	yes	—
62	C₂³×C₄×C₇₉	—	2	16	no	—
63	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
64	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
65	C₂³×C₄×C₇₉	C₂³	1	24	yes	—
66	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
67	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
68	C₄×D₄×C₇₉	C₂³	1	64	yes	—
69	C₂×C₄⋊C₄×C₇₉	C₂³	1	12	yes	—
70	C₂×C₂²⋊C₄×C₇₉	C₂³	1	24	yes	—
71	C₂×C₄²×C₇₉	C₂³	1	12	yes	—
72	C₂×Dic₁₅₈	—	2	48	no	—
73	C₂×Dic₁₅₈	—	4	48	no	—
74	C₂×Dic₁₅₈	C₂⁴	1	16	yes	—
75	C₂×Dic₁₅₈	C₂⁴	1	32	yes	—
76	C₂²×Dic₇₉	—	2	8	no	—
77	C₂²×Dic₇₉	—	2	16	no	—
78	C₂²×Dic₇₉	—	2	8	no	—
79	C₂²×Dic₇₉	—	4	96	no	—
80	C₂²×Dic₇₉	C₂⁴	1	12	yes	—
81	C₂²×Dic₇₉	C₂⁴	1	24	yes	—
82	C₂²×Dic₇₉	C₂⁴	1	12	yes	—
83	C₂²×Dic₇₉	C₂⁴	1	64	yes	—
84	C₄⋊Dic₇₉	C₂⁴	1	16	yes	—
85	C₄⋊Dic₇₉	C₂⁴	1	64	yes	—
86	C₄⋊Dic₇₉	C₂⁴	1	32	yes	—
87	C₄⋊Dic₇₉	C₂⁴	1	32	yes	—
88	Dic₇₉⋊C₄	C₂⁴	1	32	yes	—
89	Dic₇₉⋊C₄	C₂⁴	1	64	yes	—
90	C₂²⋊Dic₇₉	C₂⁴	1	64	yes	—
91	C₄×Dic₇₉	C₂⁴	1	32	yes	—
92	C₂⁴×C₇₉	—	2	8	no	—
93	C₂⁴×C₇₉	—	2	8	no	—
94	C₂⁴×C₇₉	C₂×Q₈	1	16	yes	—
95	C₂⁴×C₇₉	C₂⁴	1	12	yes	—
96	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
97	C₂×D₄×C₇₉	C₂×Q₈	1	96	yes	complemented
98	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
99	C₂²×C₄×C₇₉	—	2	8	no	—
100	C₂²×C₄×C₇₉	—	2	4	no	—
101	C₂²×C₄×C₇₉	—	2	96	no	—
102	C₂²×C₄×C₇₉	C₂×Q₈	1	8	yes	—
103	C₂²×C₄×C₇₉	#41	1	8	yes	—
104	C₂²×C₄×C₇₉	C₂⁴	1	6	yes	—
105	C₂²×C₄×C₇₉	C₂⁴	1	12	yes	—
106	C₂²×C₄×C₇₉	C₂⁴	1	32	yes	—
107	C₂²×C₄×C₇₉	C₂⁴	1	6	yes	—
108	C₂²×C₄×C₇₉	C₂⁴	1	6	yes	—
109	C₄⋊C₄×C₇₉	C₂⁴	1	16	yes	—
110	C₂²⋊C₄×C₇₉	C₂⁴	1	32	yes	—
111	C₄²×C₇₉	C₂⁴	1	16	yes	—
112	C₂³×C₇₉	—	2	64	no	—
113	C₂³×C₇₉	—	2	24	no	—
114	C₂³×C₇₉	—	2	24	no	—
115	C₂³×C₇₉	C₂²×Q₈	1	48	yes	—
116	C₂³×C₇₉	C₂²×Q₈	1	4	yes	—
117	C₂³×C₇₉	C₂×#41	1	4	yes	—
118	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	—
119	C₂³×C₇₉	C₂⁵	1	8	yes	—
120	C₂³×C₇₉	C₂⁵	1	3	yes	—
121	D₄×C₇₉	C₂²×Q₈	1	64	yes	complemented
122	C₂×C₄×C₇₉	—	2	24	no	—
123	C₂×C₄×C₇₉	—	2	12	no	—
124	C₂×C₄×C₇₉	—	2	64	no	—
125	C₂×C₄×C₇₉	C₂²×Q₈	1	24	yes	—
126	C₂×C₄×C₇₉	C₂×#41	1	24	yes	—
127	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
128	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
129	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
130	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
131	C₂×Dic₇₉	—	2	24	no	—
132	C₂×Dic₇₉	—	2	24	no	—
133	C₂×Dic₇₉	—	2	48	no	—
134	C₂×Dic₇₉	—	4	64	no	—
135	C₂×Dic₇₉	C₂⁵	1	8	yes	—
136	C₂×Dic₇₉	C₂⁵	1	8	yes	—
137	C₂×Dic₇₉	C₂⁵	1	16	yes	—
138	Dic₁₅₈	—	2	32	no	—
139	Dic₁₅₈	—	4	32	no	—
140	C₂²×C₇₉	—	2	8	no	—
141	C₂²×C₇₉	—	2	8	no	—
142	C₂²×C₇₉	—	2	96	no	—
143	C₂²×C₇₉	#554	1	16	yes	complemented
144	C₂²×C₇₉	C₂³×Q₈	1	16	yes	—
145	C₂²×C₇₉	C₂³×Q₈	1	6	yes	—
146	C₂²×C₇₉	C₂²×#41	1	6	yes	—
147	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	6	yes	—
148	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
149	C₄×C₇₉	—	2	8	no	—
150	C₄×C₇₉	—	2	4	no	—
151	C₄×C₇₉	C₂³×Q₈	1	8	yes	—
152	C₄×C₇₉	C₂²×#41	1	8	yes	—
153	Dic₇₉	—	2	8	no	—
154	Dic₇₉	—	2	16	no	—
155	Dic₇₉	—	2	8	no	—
156	C₂²×#554	—	79	1	no	maximal, Sylow
157	C₂×C₇₉	—	2	16	no	—
158	C₂×C₇₉	C₂×#554	1	12	yes	complemented
159	C₂×C₇₉	C₂⁴×Q₈	1	1	yes	characteristic
160	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
161	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
162	C₂×#554	—	79	48	no	—
163	C₂²×C₄⋊Q₈	—	79	1	no	—
164	C₂²×#125	—	79	2	no	—
165	C₂²×C₂²⋊Q₈	—	79	2	no	—
166	C₂²×C₂²⋊Q₈	—	79	4	no	—
167	C₂²×C₄×Q₈	—	79	1	no	—
168	C₂²×C₄×D₄	—	79	2	no	—
169	C₂²×C₄×D₄	D₇₉	1	1	yes	characteristic
170	C₂³×C₄⋊C₄	—	79	2	no	—
171	C₇₉	C₂²×#554	1	1	yes	characteristic, complemented, Sylow
172	C₂³×Q₈	—	79	2	no	—
173	C₂³×Q₈	—	79	1	no	—
174	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic
175	C₂⁴×C₄	—	79	4	no	—
176	C₂⁴×C₄	C₂×D₇₉	1	2	yes	—
177	#554	—	79	256	no	—
178	C₂×C₄⋊Q₈	—	79	24	no	—
179	C₂×#125	—	79	48	no	—
180	C₂×C₂²⋊Q₈	—	79	48	no	—
181	C₂×C₂²⋊Q₈	—	79	96	no	—
182	C₂×C₄×Q₈	—	79	24	no	—
183	C₂×C₄×D₄	—	79	48	no	—
184	C₂×C₄×D₄	C₂×D₇₉	1	24	yes	—
185	C₂²×C₄⋊C₄	—	79	1	no	—
186	C₂²×C₄⋊C₄	—	79	4	no	—
187	C₂²×C₄⋊C₄	—	79	2	no	—
188	C₂²×C₄⋊C₄	—	79	48	no	—
189	C₂²×C₄⋊C₄	—	79	2	no	—
190	C₂²×C₄⋊C₄	—	79	2	no	—
191	C₂²×C₄⋊C₄	—	79	4	no	—
192	C₂²×C₄⋊C₄	C₂×D₇₉	1	1	yes	characteristic
193	C₂²×C₂²⋊C₄	—	79	4	no	—
194	C₂²×C₂²⋊C₄	C₂×D₇₉	1	2	yes	—
195	C₂²×C₄²	—	79	2	no	—
196	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic
197	C₂⁵	C₂²×D₇₉	1	2	yes	—
198	C₂²×Q₈	—	316	8	no	—
199	C₂²×Q₈	—	79	24	no	—
200	C₂²×Q₈	—	79	12	no	—
201	C₂²×Q₈	—	158	8	no	—
202	C₂²×D₄	Dic₁₅₈	1	16	yes	complemented
203	C₂²×D₄	C₂²×D₇₉	1	12	yes	—
204	C₂³×C₄	—	2	16	no	—
205	C₂³×C₄	—	316	16	no	—
206	C₂³×C₄	—	79	48	no	—
207	C₂³×C₄	—	79	2	no	—
208	C₂³×C₄	—	79	4	no	—
209	C₂³×C₄	—	79	2	no	—
210	C₂³×C₄	C₂²×D₇₉	1	24	yes	—
211	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
212	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
213	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
214	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
215	C₄⋊Q₈	—	79	64	no	—
216	#125	—	79	128	no	—
217	C₂²⋊Q₈	—	79	128	no	—
218	C₂²⋊Q₈	—	79	256	no	—
219	C₄×Q₈	—	79	64	no	—
220	C₄×D₄	—	79	128	no	—
221	C₄×D₄	C₂²×D₇₉	1	64	yes	—
222	C₂×C₄⋊C₄	—	79	12	no	—
223	C₂×C₄⋊C₄	—	79	48	no	—
224	C₂×C₄⋊C₄	—	79	24	no	—
225	C₂×C₄⋊C₄	—	79	128	no	—
226	C₂×C₄⋊C₄	—	79	24	no	—
227	C₂×C₄⋊C₄	—	79	24	no	—
228	C₂×C₄⋊C₄	—	79	48	no	—
229	C₂×C₄⋊C₄	C₂²×D₇₉	1	12	yes	—
230	C₂×C₂²⋊C₄	—	79	48	no	—
231	C₂×C₂²⋊C₄	C₂²×D₇₉	1	24	yes	—
232	C₂×C₄²	—	79	24	no	—
233	C₂×C₄²	C₂²×D₇₉	1	12	yes	—
234	C₂⁴	—	2	8	no	—
235	C₂⁴	—	2	8	no	—
236	C₂⁴	C₂×Dic₁₅₈	1	16	yes	—
237	C₂⁴	C₂³×D₇₉	1	12	yes	—
238	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
239	C₂×Q₈	—	316	48	no	—
240	C₂×Q₈	—	79	32	no	—
241	C₂×Q₈	—	79	16	no	—
242	C₂×Q₈	—	158	48	no	—
243	C₂×D₄	C₂×Dic₁₅₈	1	96	yes	complemented
244	C₂×D₄	C₂³×D₇₉	1	16	yes	—
245	C₂²×C₄	—	2	8	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	96	no	—
248	C₂²×C₄	—	316	96	no	—
249	C₂²×C₄	—	79	64	no	—
250	C₂²×C₄	—	79	12	no	—
251	C₂²×C₄	—	79	12	no	—
252	C₂²×C₄	—	79	24	no	—
253	C₂²×C₄	—	158	8	no	—
254	C₂²×C₄	—	158	8	no	—
255	C₂²×C₄	—	158	16	no	—
256	C₂²×C₄	C₂×Dic₁₅₈	1	8	yes	—
257	C₂²×C₄	#11929623	1	8	yes	—
258	C₂²×C₄	C₂³×D₇₉	1	6	yes	—
259	C₂²×C₄	C₂³×D₇₉	1	12	yes	—
260	C₂²×C₄	C₂³×D₇₉	1	32	yes	—
261	C₂²×C₄	C₂³×D₇₉	1	6	yes	—
262	C₂²×C₄	C₂³×D₇₉	1	6	yes	—
263	C₄⋊C₄	—	79	32	no	—
264	C₄⋊C₄	—	79	64	no	—
265	C₄⋊C₄	—	79	16	no	—
266	C₄⋊C₄	—	79	64	no	—
267	C₄⋊C₄	—	79	32	no	—
268	C₄⋊C₄	—	79	32	no	—
269	C₄⋊C₄	C₂³×D₇₉	1	16	yes	—
270	C₂²⋊C₄	—	79	64	no	—
271	C₂²⋊C₄	C₂³×D₇₉	1	32	yes	—
272	C₄²	—	79	32	no	—
273	C₄²	C₂³×D₇₉	1	16	yes	—
274	C₂³	—	2	24	no	—
275	C₂³	—	2	64	no	—
276	C₂³	—	2	24	no	—
277	C₂³	C₂²×Dic₁₅₈	1	48	yes	—
278	C₂³	C₂²×Dic₁₅₈	1	4	yes	—
279	C₂³	C₂×#11929623	1	4	yes	—
280	C₂³	#14579207	1	4	yes	—
281	C₂³	C₂⁴×D₇₉	1	8	yes	—
282	C₂³	C₂⁴×D₇₉	1	3	yes	—
283	Q₈	—	316	32	no	—
284	Q₈	—	158	32	no	—
285	D₄	C₂²×Dic₁₅₈	1	64	yes	complemented
286	C₂×C₄	—	2	12	no	—
287	C₂×C₄	—	2	24	no	—
288	C₂×C₄	—	2	64	no	—
289	C₂×C₄	—	316	64	no	—
290	C₂×C₄	—	79	8	no	—
291	C₂×C₄	—	79	8	no	—
292	C₂×C₄	—	79	16	no	—
293	C₂×C₄	—	158	24	no	—
294	C₂×C₄	—	158	48	no	—
295	C₂×C₄	—	158	24	no	—
296	C₂×C₄	C₂²×Dic₁₅₈	1	24	yes	—
297	C₂×C₄	C₂×#11929623	1	24	yes	—
298	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
299	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
300	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
301	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
302	C₂²	—	2	8	no	—
303	C₂²	—	2	8	no	—
304	C₂²	—	2	96	no	—
305	C₂²	#19099270	1	16	yes	direct product factor
306	C₂²	C₂³×Dic₁₅₈	1	16	yes	—
307	C₂²	C₂³×Dic₁₅₈	1	6	yes	—
308	C₂²	C₂²×#11929623	1	6	yes	—
309	C₂²	C₂×#14579207	1	6	yes	—
310	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
311	C₄	—	2	8	no	—
312	C₄	—	2	4	no	—
313	C₄	—	158	8	no	—
314	C₄	—	158	8	no	—
315	C₄	—	158	16	no	—
316	C₄	C₂³×Dic₁₅₈	1	8	yes	—
317	C₄	C₂²×#11929623	1	8	yes	—
318	C₂	—	2	16	no	—
319	C₂	C₂×#19099270	1	12	yes	direct product factor
320	C₂	C₂⁴×Dic₁₅₈	1	1	yes	characteristic
321	C₂	C₂³×#11929623	1	1	yes	characteristic
322	C₂	C₂²×#14579207	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴	C₂³×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂²×C₄×D₄×C₇₉	C₂
socle	C₂⁴×C₇₉	C₂⁴
prime radical	C₂³×D₄×C₇₉	C₂²
hypercenter	C₂²×C₄×D₄	D₇₉
hypocenter	C₇₉	C₂²×#554
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂×#19099270	C₂	direct (N × H)
2. C₂²×#14579161	C₂	semidirect
3. C₂²×#14579152	C₂	semidirect
4. C₂²×#14579140	C₂	semidirect
5. C₂²×#14579138	C₂	semidirect
6. C₂²×C₄×Dic₁₅₈	C₂	semidirect
8. C₂³×C₄⋊Dic₇₉	C₂	semidirect
13. #19099270	C₂²	direct (N × H)
14. C₂×#14579161	C₂²	semidirect
15. C₂×#14579152	C₂²	semidirect
16. C₂×#14579140	C₂²	semidirect
17. C₂×#14579138	C₂²	semidirect
18. C₂×C₄×Dic₁₅₈	C₂²	semidirect
24. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
44. #14579161	C₂³	semidirect
45. #14579152	C₂³	semidirect
46. #14579140	C₂³	semidirect
47. #14579138	C₂³	semidirect
48. C₄×Dic₁₅₈	C₂³	semidirect
54. C₂×C₄⋊Dic₇₉	C₂³	semidirect
60. C₂²×D₄×C₇₉	Q₈	semidirect
97. C₂×D₄×C₇₉	C₂×Q₈	semidirect
121. D₄×C₇₉	C₂²×Q₈	semidirect
143. C₂²×C₇₉	#554	semidirect
158. C₂×C₇₉	C₂×#554	semidirect
171. C₇₉	C₂²×#554	semidirect
202. C₂²×D₄	Dic₁₅₈	semidirect
243. C₂×D₄	C₂×Dic₁₅₈	semidirect
285. D₄	C₂²×Dic₁₅₈	semidirect
305. C₂²	#19099270	direct (N × H)
319. C₂	C₂×#19099270	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#19099270	2
C₂²×#14579161	2
C₂²×#14579152	2
C₂²×#14579140	2
C₂²×#14579138	2
C₂²×C₄×Dic₁₅₈	2
C₂²×D₄×Dic₇₉	2
C₂³×C₄⋊Dic₇₉	2
C₂²×C₄×D₄×C₇₉	2
C₂²×#554	79

Subgroups — C22×#19099270 #35195241

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#19099270 #35195241