Subgroups — C₂×#72216737 #72337566

Order 4096.

Only the 843 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 274 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#72216681	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#72216503	C₂	1	2	yes	maximal, complemented
3	C₂×#72216717	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#72216488	C₂	1	2	yes	maximal, complemented
5	C₂×#93099	C₂²	1	2	yes	complemented
6	C₂×#72216432	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#72216464	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#72215683	C₂	1	2	yes	maximal, complemented
9	C₂×#72216646	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#374004	C₂²	1	1	yes	characteristic, complemented
11	C₂×#417824	C₂²	1	1	yes	characteristic
12	C₂×#417824	C₂²	1	1	yes	characteristic, complemented
13	C₂×#133290	C₂²	1	2	yes	complemented
14	C₂×#249319	C₂²	1	2	yes	complemented
15	C₂×#72216396	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#213828	C₂²	1	1	yes	characteristic, complemented
17	C₂×#72216697	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#133278	C₂²	1	2	yes	complemented
19	C₂×#6628896	C₂²	1	1	yes	characteristic
20	C₂×#134045	C₂²	1	1	yes	characteristic, complemented
21	C₂×#97550	C₂²	1	1	yes	characteristic, complemented
22	C₂×#97550	C₂²	1	2	yes	complemented
23	C₂×#8932885	C₂²	1	1	yes	characteristic, complemented
24	C₂×#7670203	C₂²	1	1	yes	characteristic, complemented
25	C₂×#72210565	C₂	1	2	yes	maximal, complemented
26	C₂×#93155	C₂²	1	2	yes	complemented
27	C₂×#131967	C₂²	1	2	yes	complemented
28	C₂×#131967	C₂²	1	2	yes	complemented
29	C₂×#245225	C₂²	1	2	yes	—
30	C₂×#245225	C₂²	1	2	yes	complemented
31	C₂×#133822	C₂²	1	2	yes	complemented
32	C₂×#449475	C₂²	1	1	yes	characteristic
33	C₂×#449475	C₂²	1	1	yes	characteristic, complemented
34	C₂×#449475	C₂²	1	2	yes	complemented
35	#72216737	C₂	1	16	yes	maximal, direct product factor
36	#72216717	C₂²	1	8	yes	complemented
37	#72216697	C₂²	1	8	yes	complemented
38	#72216681	C₂²	1	8	yes	complemented
39	#72216646	C₂²	1	8	yes	complemented
40	#72216503	C₂²	1	16	yes	complemented
41	#72216488	C₂²	1	16	yes	complemented
42	#72216464	C₂²	1	8	yes	complemented
43	#72216432	C₂²	1	8	yes	complemented
44	#72216396	C₂²	1	8	yes	complemented
45	#72215683	C₂²	1	16	yes	complemented
46	#72210565	C₂²	1	16	yes	complemented
47	C₂²×H(7,𝔽₂)	D₄	1	1	yes	characteristic, complemented
48	#8932885	C₂³	1	4	yes	complemented
49	#7670203	C₂³	1	4	yes	complemented
50	C₂²×#2846	D₄	1	2	yes	complemented
51	C₂²×#2846	C₂³	1	1	yes	characteristic
52	C₂×#35390	C₂³	1	1	yes	characteristic
53	C₂×#35346	C₂³	1	1	yes	characteristic
54	C₂×#35346	C₂³	1	1	yes	characteristic
55	C₂×#35346	C₂³	1	1	yes	characteristic
56	C₂×#35346	C₂³	1	2	yes	—
57	#6628896	D₄	1	4	yes	complemented
58	#6628896	C₂³	1	4	yes	—
59	C₂×#32898	D₄	1	4	yes	complemented
60	C₂×#23444	D₄	1	2	yes	complemented
61	C₂×#20585	D₄	1	1	yes	characteristic, complemented
62	C₂×#20585	D₄	1	1	yes	characteristic, complemented
63	C₂×#20585	D₄	1	1	yes	characteristic, complemented
64	#449475	D₄	1	4	yes	complemented
65	#449475	C₂³	1	4	yes	—
66	#449475	C₂³	1	4	yes	complemented
67	#449475	C₂³	1	8	yes	complemented
68	#417824	D₄	1	4	yes	complemented
69	#417824	C₂³	1	4	yes	—
70	#417824	C₂³	1	4	yes	complemented
71	#374004	C₂³	1	4	yes	complemented
72	C₂×#10965	D₄	1	2	yes	complemented
73	C₂×#10965	C₂³	1	1	yes	characteristic
74	C₂×#10965	C₂³	1	1	yes	characteristic
75	C₂×#10965	C₂³	1	2	yes	—
76	C₂×#10938	D₄	1	2	yes	complemented
77	#249319	C₂³	1	8	yes	complemented
78	#245225	D₄	1	8	yes	complemented
79	#245225	C₂³	1	8	yes	—
80	#245225	C₂³	1	8	yes	complemented
81	#213828	C₂³	1	4	yes	complemented
82	C₂×#9495	D₄	1	4	yes	complemented
83	C₂×#8547	C₂³	1	2	yes	—
84	C₂×#8541	C₂³	1	2	yes	—
85	#134045	C₂³	1	4	yes	complemented
86	#133822	C₂³	1	8	yes	complemented
87	#133290	C₂³	1	8	yes	complemented
88	#133278	C₂³	1	8	yes	complemented
89	#131967	C₂³	1	8	yes	complemented
90	#131967	C₂³	1	8	yes	complemented
91	#97550	C₂³	1	4	yes	complemented
92	#97550	C₂³	1	8	yes	complemented
93	#93155	C₂³	1	8	yes	complemented
94	#93099	C₂³	1	8	yes	complemented
95	C₂⁸	C₂×D₄	1	1	yes	characteristic, complemented
96	C₂×H(7,𝔽₂)	C₂×D₄	1	4	yes	complemented
97	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
98	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
99	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
100	C₂³×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
101	C₂²×#534	C₂×D₄	1	1	yes	characteristic, complemented
102	C₂³×#120	C₂×D₄	1	2	yes	—
103	C₂³×#120	C₂⁴	1	1	yes	characteristic
104	C₂×#2846	C₂×D₄	1	8	yes	complemented
105	C₂×#2846	C₂×D₄	1	2	yes	complemented
106	C₂×#2846	C₂⁴	1	2	yes	—
107	#35390	C₂×D₄	1	2	yes	complemented
108	#35390	C₂⁴	1	2	yes	—
109	#35346	C₂×D₄	1	2	yes	—
110	#35346	C₂×D₄	1	2	yes	—
111	#35346	C₂×D₄	1	2	yes	—
112	#35346	C₂×D₄	1	4	yes	—
113	#35346	C₂×D₄	1	2	yes	—
114	#35346	C₂×D₄	1	2	yes	—
115	#35346	C₂×D₄	1	4	yes	complemented
116	#35346	C₂⁴	1	2	yes	—
117	#35346	C₂⁴	1	2	yes	—
118	#35346	C₂⁴	1	2	yes	—
119	#35346	C₂⁴	1	4	yes	—
120	C₂×#2403	C₂×D₄	1	4	yes	—
121	C₂×#2308	C₂×D₄	1	2	yes	—
122	C₂×#2308	C₂×D₄	1	1	yes	characteristic
123	C₂×#2308	C₂×D₄	1	1	yes	characteristic
124	C₂×#2308	C₂×D₄	1	1	yes	characteristic
125	C₂×#2308	C₂×D₄	1	2	yes	complemented
126	C₂²×#379	C₂×D₄	1	1	yes	characteristic, complemented
127	C₂²×#379	C₂×D₄	1	2	yes	complemented
128	C₂×#2273	C₂×D₄	1	1	yes	characteristic, complemented
129	#32898	C₂×D₄	1	16	yes	complemented
130	#23444	C₂×D₄	1	8	yes	complemented
131	#20585	C₂×D₄	1	4	yes	complemented
132	#20585	C₂×D₄	1	4	yes	complemented
133	#20585	C₂×D₄	1	4	yes	complemented
134	C₂×#1781	C₂×D₄	1	4	yes	complemented
135	C₂²×#342	C₂×D₄	1	2	yes	complemented
136	#10965	C₂×D₄	1	2	yes	complemented
137	#10965	C₂×D₄	1	8	yes	complemented
138	#10965	C₂×D₄	1	2	yes	complemented
139	#10965	C₂⁴	1	4	yes	—
140	#10965	C₂⁴	1	2	yes	—
141	#10965	C₂⁴	1	2	yes	—
142	#10938	C₂×D₄	1	8	yes	complemented
143	#9495	C₂×D₄	1	16	yes	complemented
144	#8547	C₂⁴	1	4	yes	—
145	#8541	C₂×D₄	1	4	yes	complemented
146	#8541	C₂⁴	1	4	yes	—
147	C₂⁷	C₂²×D₄	1	1	yes	characteristic
148	C₂⁷	C₂²×D₄	1	2	yes	complemented
149	C₂²×H(5,𝔽₂)	#120	1	2	yes	—
150	C₂²×H(5,𝔽₂)	#120	1	2	yes	—
151	C₂²×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
152	C₂²×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
153	C₂²×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
154	C₂²×H(5,𝔽₂)	C₂²×D₄	1	4	yes	complemented
155	C₂⁴×D₄	#120	1	2	yes	—
156	C₂⁴×D₄	#120	1	2	yes	—
157	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
158	C₂⁴×D₄	C₂²×D₄	1	2	yes	—
159	C₂×#534	C₂²×D₄	1	2	yes	complemented
160	C₂²×#120	#120	1	4	yes	—
161	C₂²×#120	C₂²×D₄	1	1	yes	characteristic
162	C₂²×#120	C₂²×D₄	1	1	yes	characteristic
163	C₂²×#120	C₂²×D₄	1	4	yes	—
164	C₂²×#120	C₂²×D₄	1	2	yes	—
165	C₂²×#120	C₂²×D₄	1	1	yes	characteristic
166	C₂²×#120	H(5,𝔽₂)	1	2	yes	—
167	C₂²×#120	C₂⁵	1	1	yes	characteristic
168	C₂³×C₂²⋊C₄	#120	1	2	yes	—
169	C₂³×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
170	C₂³×C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
171	#2403	#120	1	8	yes	—
172	#2403	C₂²×D₄	1	8	yes	—
173	#2308	#120	1	4	yes	—
174	#2308	#120	1	2	yes	—
175	#2308	#120	1	2	yes	—
176	#2308	C₂²×D₄	1	2	yes	—
177	#2308	C₂²×D₄	1	4	yes	—
178	#2308	C₂²×D₄	1	2	yes	—
179	#2308	C₂²×D₄	1	2	yes	—
180	#2308	C₂²×D₄	1	4	yes	complemented
181	C₂×#379	#120	1	2	yes	—
182	C₂×#379	C₂²×D₄	1	4	yes	complemented
183	C₂×#379	C₂²×D₄	1	2	yes	complemented
184	#2273	C₂²×D₄	1	2	yes	complemented
185	#1781	C₂²×D₄	1	8	yes	complemented
186	C₂×#342	C₂²×D₄	1	4	yes	complemented
187	C₂⁶	B(4,𝔽₂)	1	2	yes	—
188	C₂⁶	B(4,𝔽₂)	1	2	yes	complemented
189	C₂⁶	C₂×#120	1	1	yes	characteristic
190	C₂⁶	C₂×#120	1	1	yes	characteristic
191	C₂⁶	C₂×#120	1	1	yes	characteristic
192	C₂⁶	D₄²	1	2	yes	—
193	C₂⁶	D₄²	1	2	yes	—
194	C₂⁶	C₂³×D₄	1	1	yes	characteristic
195	C₂³×D₄	B(4,𝔽₂)	1	4	yes	—
196	C₂³×D₄	B(4,𝔽₂)	1	4	yes	complemented
197	C₂³×D₄	C₂×#120	1	1	yes	characteristic
198	C₂³×D₄	C₂×#120	1	1	yes	characteristic
199	C₂³×D₄	C₂×#120	1	2	yes	—
200	C₂³×D₄	C₂×#120	1	4	yes	—
201	C₂³×D₄	C₂×#120	1	4	yes	—
202	C₂³×D₄	#534	1	1	yes	characteristic
203	C₂³×D₄	D₄²	1	2	yes	—
204	C₂³×D₄	D₄²	1	2	yes	—
205	C₂³×D₄	C₂³×D₄	1	1	yes	characteristic
206	C₂³×D₄	C₂³×D₄	1	2	yes	—
207	C₂⁴×C₄	B(4,𝔽₂)	1	2	yes	—
208	C₂⁴×C₄	B(4,𝔽₂)	1	2	yes	complemented
209	C₂⁴×C₄	#534	1	1	yes	characteristic
210	C₂⁴×C₄	D₄²	1	2	yes	—
211	C₂²×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
212	C₂²×C₂²⋊C₄	C₂×#120	1	4	yes	—
213	C₂²×C₂²⋊C₄	#534	1	2	yes	—
214	C₂²×C₂²⋊C₄	D₄²	1	2	yes	—
215	C₂²×C₂²⋊C₄	D₄²	1	2	yes	—
216	C₂²×C₂²⋊C₄	D₄²	1	2	yes	—
217	C₂²×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
218	C₂²×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	2	yes	—
219	#379	C₂×#120	1	4	yes	—
220	C₂⁵	#2196	1	8	yes	complemented
221	C₂⁵	#2403	1	2	yes	—
222	C₂⁵	#2403	1	1	yes	characteristic
223	C₂⁵	#2403	1	1	yes	characteristic
224	C₂⁵	#2403	1	1	yes	characteristic
225	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
226	C₂⁵	C₂×B(4,𝔽₂)	1	4	yes	—
227	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
228	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
229	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
230	C₂⁵	C₂×B(4,𝔽₂)	1	4	yes	complemented
231	C₂⁵	C₂²×#120	1	1	yes	characteristic
232	C₂⁵	C₂²×#120	1	1	yes	characteristic
233	C₂⁵	C₂×D₄²	1	2	yes	—
234	C₂³×C₄	#2403	1	2	yes	—
235	C₂³×C₄	#2403	1	1	yes	characteristic
236	C₂³×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
237	C₂³×C₄	C₂×B(4,𝔽₂)	1	4	yes	complemented
238	C₂³×C₄	C₂×#534	1	1	yes	characteristic
239	C₂³×C₄	C₂×D₄²	1	2	yes	—
240	C₂⁴	#23895	1	1	yes	characteristic
241	C₂⁴	#23895	1	1	yes	characteristic
242	C₂⁴	#23900	1	1	yes	characteristic
243	C₂⁴	#23900	1	2	yes	—
244	C₂⁴	#23900	1	1	yes	characteristic
245	C₂⁴	#23900	1	1	yes	characteristic
246	C₂⁴	#23900	1	1	yes	characteristic
247	C₂⁴	#23900	1	2	yes	—
248	C₂⁴	C₂×#2196	1	4	yes	—
249	C₂⁴	C₂×#2196	1	8	yes	complemented
250	C₂⁴	#33551	1	4	yes	—
251	C₂⁴	C₂×#2403	1	1	yes	characteristic
252	C₂⁴	C₂²×B(4,𝔽₂)	1	2	yes	—
253	C₂⁴	C₂²×B(4,𝔽₂)	1	2	yes	—
254	C₂³	#245225	1	1	yes	characteristic
255	C₂³	#245225	1	1	yes	characteristic
256	C₂³	#245225	1	1	yes	characteristic
257	C₂³	#245225	1	1	yes	characteristic
258	C₂³	#499787	1	4	yes	—
259	C₂³	#499787	1	4	yes	—
260	C₂³	C₂×#23900	1	1	yes	characteristic
261	C₂³	C₂×#23900	1	1	yes	characteristic
262	C₂³	C₂×#23895	1	1	yes	characteristic
263	C₂³	C₂²×#2196	1	2	yes	—
264	C₂³	C₂×#33551	1	2	yes	—
265	C₂²	B(5,𝔽₂)	1	4	yes	—
266	C₂²	#72210587	1	2	yes	—
267	C₂²	#72210587	1	2	yes	—
268	C₂²	C₂×#245225	1	1	yes	characteristic
269	C₂²	C₂×#499787	1	2	yes	—
270	C₂	#72216737	1	4	yes	direct product factor
271	C₂	C₂×B(5,𝔽₂)	1	2	yes	—
272	C₂	C₂×#72210587	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	#245225
commutator, Frattini, cosocle	C₂²×#120	C₂⁵
LCS	G ▷ C₂²×#120 ▷ C₂⁴ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂⁵ ◁ C₂³×#120 ◁ G
LECS	G ▷ C₂²×#120 ▷ C₂⁴ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#72216681	C₂	semidirect
2. C₂×#72216503	C₂	semidirect
3. C₂×#72216717	C₂	semidirect
4. C₂×#72216488	C₂	semidirect
5. C₂×#93099	C₂²	semidirect
6. C₂×#72216432	C₂	semidirect
7. C₂×#72216464	C₂	semidirect
8. C₂×#72215683	C₂	semidirect
9. C₂×#72216646	C₂	semidirect
10. C₂×#374004	C₂²	semidirect
12. C₂×#417824	C₂²	semidirect
13. C₂×#133290	C₂²	semidirect
14. C₂×#249319	C₂²	semidirect
15. C₂×#72216396	C₂	semidirect
16. C₂×#213828	C₂²	semidirect
17. C₂×#72216697	C₂	semidirect
18. C₂×#133278	C₂²	semidirect
20. C₂×#134045	C₂²	semidirect
21. C₂×#97550	C₂²	semidirect
22. C₂×#97550	C₂²	semidirect
23. C₂×#8932885	C₂²	semidirect
24. C₂×#7670203	C₂²	semidirect
25. C₂×#72210565	C₂	semidirect
26. C₂×#93155	C₂²	semidirect
27. C₂×#131967	C₂²	semidirect
28. C₂×#131967	C₂²	semidirect
30. C₂×#245225	C₂²	semidirect
31. C₂×#133822	C₂²	semidirect
33. C₂×#449475	C₂²	semidirect
34. C₂×#449475	C₂²	semidirect
35. #72216737	C₂	direct (N × H)
36. #72216717	C₂²	semidirect
37. #72216697	C₂²	semidirect
38. #72216681	C₂²	semidirect
39. #72216646	C₂²	semidirect
40. #72216503	C₂²	semidirect
41. #72216488	C₂²	semidirect
42. #72216464	C₂²	semidirect
43. #72216432	C₂²	semidirect
44. #72216396	C₂²	semidirect
45. #72215683	C₂²	semidirect
46. #72210565	C₂²	semidirect
47. C₂²×H(7,𝔽₂)	D₄	semidirect
48. #8932885	C₂³	semidirect
49. #7670203	C₂³	semidirect
50. C₂²×#2846	D₄	semidirect
57. #6628896	D₄	semidirect
59. C₂×#32898	D₄	semidirect
60. C₂×#23444	D₄	semidirect
61. C₂×#20585	D₄	semidirect
62. C₂×#20585	D₄	semidirect
63. C₂×#20585	D₄	semidirect
64. #449475	D₄	semidirect
66. #449475	C₂³	semidirect
67. #449475	C₂³	semidirect
68. #417824	D₄	semidirect
70. #417824	C₂³	semidirect
71. #374004	C₂³	semidirect
72. C₂×#10965	D₄	semidirect
76. C₂×#10938	D₄	semidirect
77. #249319	C₂³	semidirect
78. #245225	D₄	semidirect
80. #245225	C₂³	semidirect
81. #213828	C₂³	semidirect
82. C₂×#9495	D₄	semidirect
85. #134045	C₂³	semidirect
86. #133822	C₂³	semidirect
87. #133290	C₂³	semidirect
88. #133278	C₂³	semidirect
89. #131967	C₂³	semidirect
90. #131967	C₂³	semidirect
91. #97550	C₂³	semidirect
92. #97550	C₂³	semidirect
93. #93155	C₂³	semidirect
94. #93099	C₂³	semidirect
95. C₂⁸	C₂×D₄	semidirect
96. C₂×H(7,𝔽₂)	C₂×D₄	semidirect
100. C₂³×H(5,𝔽₂)	C₂×D₄	semidirect
101. C₂²×#534	C₂×D₄	semidirect
104. C₂×#2846	C₂×D₄	semidirect
105. C₂×#2846	C₂×D₄	semidirect
107. #35390	C₂×D₄	semidirect
115. #35346	C₂×D₄	semidirect
125. C₂×#2308	C₂×D₄	semidirect
126. C₂²×#379	C₂×D₄	semidirect
127. C₂²×#379	C₂×D₄	semidirect
128. C₂×#2273	C₂×D₄	semidirect
129. #32898	C₂×D₄	semidirect
130. #23444	C₂×D₄	semidirect
131. #20585	C₂×D₄	semidirect
132. #20585	C₂×D₄	semidirect
133. #20585	C₂×D₄	semidirect
134. C₂×#1781	C₂×D₄	semidirect
135. C₂²×#342	C₂×D₄	semidirect
136. #10965	C₂×D₄	semidirect
137. #10965	C₂×D₄	semidirect
138. #10965	C₂×D₄	semidirect
142. #10938	C₂×D₄	semidirect
143. #9495	C₂×D₄	semidirect
145. #8541	C₂×D₄	semidirect
148. C₂⁷	C₂²×D₄	semidirect
154. C₂²×H(5,𝔽₂)	C₂²×D₄	semidirect
159. C₂×#534	C₂²×D₄	semidirect
180. #2308	C₂²×D₄	semidirect
182. C₂×#379	C₂²×D₄	semidirect
183. C₂×#379	C₂²×D₄	semidirect
184. #2273	C₂²×D₄	semidirect
185. #1781	C₂²×D₄	semidirect
186. C₂×#342	C₂²×D₄	semidirect
188. C₂⁶	B(4,𝔽₂)	semidirect
196. C₂³×D₄	B(4,𝔽₂)	semidirect
208. C₂⁴×C₄	B(4,𝔽₂)	semidirect
220. C₂⁵	#2196	semidirect
230. C₂⁵	C₂×B(4,𝔽₂)	semidirect
237. C₂³×C₄	C₂×B(4,𝔽₂)	semidirect
249. C₂⁴	C₂×#2196	semidirect
270. C₂	#72216737	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×#72216681	2
C₂×#72216503	2
C₂×#72216717	2
C₂×#72216488	2
C₂×#72216432	2
C₂×#72216464	2
C₂×#72215683	2
C₂×#72216646	2
C₂×#72216396	2
C₂×#72216697	2
C₂×#72210565	2
#72216737	2

Subgroups — C2×#72216737 #72337566

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72216737 #72337566