Group #44408086 — subgroups

Subgroups — #44408086

Order 29056.

644 conjugacy classes of subgroups; only the 237 normal subgroups are shown.

normal subgroups only

This group has 644 conjugacy classes of subgroups — too many to draw. Only its 237 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#20300288	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#20300267	C₂	1	2	yes	maximal
3	#28408938	C₂	1	2	yes	maximal, complemented
4	#28408930	C₂	1	4	yes	maximal, complemented
5	#28408902	C₂	1	1	yes	maximal, characteristic, complemented
6	#28408892	C₂	1	4	yes	maximal
7	C₂²×C₄²×C₂₂₇	C₂	1	1	yes	maximal, characteristic
8	C₂²×Dic₄₅₄	C₂²	1	2	yes	—
9	#20300288	—	2	4	no	—
10	#20300267	—	2	8	no	—
11	C₂×C₄⋊Dic₂₂₇	C₂²	1	4	yes	—
12	C₂×C₄⋊Dic₂₂₇	C₂²	1	4	yes	—
13	C₂×C₄⋊Dic₂₂₇	C₂²	1	2	yes	—
14	C₂×Dic₂₂₇⋊C₄	C₂²	1	4	yes	—
15	C₂×C₂²⋊Dic₂₂₇	C₂²	1	4	yes	—
16	C₂₂₇⋊#95	C₂²	1	8	yes	—
17	C₂³×C₄×C₂₂₇	C₂²	1	1	yes	characteristic
18	C₂³×C₄×C₂₂₇	C₂²	1	2	yes	—
19	C₂×C₄²×C₂₂₇	—	2	4	no	—
20	C₂×C₄²×C₂₂₇	C₂²	1	2	yes	—
21	C₂×C₄²×C₂₂₇	C₂²	1	1	yes	characteristic
22	C₂×C₄²×C₂₂₇	C₂²	1	1	yes	characteristic
23	C₂×Dic₄₅₄	—	2	4	no	—
24	C₂×Dic₄₅₄	—	2	4	no	—
25	C₂×Dic₄₅₄	—	2	4	no	—
26	C₂²×Dic₂₂₇	C₂³	1	4	yes	—
27	C₂²×Dic₂₂₇	C₂³	1	4	yes	—
28	C₄⋊Dic₂₂₇	—	2	8	no	—
29	C₄⋊Dic₂₂₇	—	2	4	no	—
30	C₄⋊Dic₂₂₇	—	2	8	no	—
31	Dic₂₂₇⋊C₄	—	2	8	no	—
32	C₂²⋊Dic₂₂₇	—	2	8	no	—
33	C₂⁴×C₂₂₇	C₂³	1	1	yes	characteristic
34	C₂²×C₄×C₂₂₇	—	2	2	no	—
35	C₂²×C₄×C₂₂₇	—	2	4	no	—
36	C₂²×C₄×C₂₂₇	—	2	2	no	—
37	C₂²×C₄×C₂₂₇	—	2	4	no	—
38	C₂²×C₄×C₂₂₇	D₄	1	4	yes	—
39	C₂²×C₄×C₂₂₇	Q₈	1	8	yes	complemented
40	C₂²×C₄×C₂₂₇	C₂³	1	1	yes	characteristic
41	C₂²×C₄×C₂₂₇	C₂³	1	2	yes	—
42	C₂²×C₄×C₂₂₇	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₂₂₇	C₂³	1	2	yes	—
44	C₄²×C₂₂₇	—	2	2	no	—
45	C₄²×C₂₂₇	—	2	4	no	—
46	C₄²×C₂₂₇	D₄	1	4	yes	—
47	Dic₄₅₄	—	4	8	no	—
48	C₂×Dic₂₂₇	—	2	4	no	—
49	C₂×Dic₂₂₇	—	2	4	no	—
50	C₂×Dic₂₂₇	—	2	4	no	—
51	C₂×Dic₂₂₇	—	2	8	no	—
52	C₂×Dic₂₂₇	—	2	4	no	—
53	C₂³×C₂₂₇	—	2	1	no	—
54	C₂³×C₂₂₇	—	2	1	no	—
55	C₂³×C₂₂₇	—	2	2	no	—
56	C₂³×C₂₂₇	C₂×D₄	1	2	yes	—
57	C₂³×C₂₂₇	C₂×Q₈	1	4	yes	—
58	C₂³×C₂₂₇	C₂⁴	1	1	yes	characteristic
59	C₂×C₄×C₂₂₇	—	2	1	no	—
60	C₂×C₄×C₂₂₇	—	2	2	no	—
61	C₂×C₄×C₂₂₇	—	2	1	no	—
62	C₂×C₄×C₂₂₇	—	2	2	no	—
63	C₂×C₄×C₂₂₇	—	2	8	no	—
64	C₂×C₄×C₂₂₇	—	2	16	no	—
65	C₂×C₄×C₂₂₇	C₂×D₄	1	2	yes	—
66	C₂×C₄×C₂₂₇	C₂×D₄	1	2	yes	—
67	C₂×C₄×C₂₂₇	C₂×D₄	1	2	yes	—
68	C₂×C₄×C₂₂₇	C₂×D₄	1	4	yes	—
69	C₂×C₄×C₂₂₇	C₂×Q₈	1	4	yes	—
70	C₂×C₄×C₂₂₇	C₂×Q₈	1	4	yes	—
71	C₂×C₄×C₂₂₇	#41	1	2	yes	—
72	C₂×C₄×C₂₂₇	#41	1	4	yes	—
73	C₂²×C₂₂₇	—	2	2	no	—
74	C₂²×C₂₂₇	—	2	4	no	—
75	C₂²×C₂₂₇	—	2	2	no	—
76	C₂²×C₂₂₇	—	2	4	no	—
77	C₂²×C₂₂₇	C₄⋊Q₈	1	4	yes	complemented
78	C₂²×C₂₂₇	C₂²×D₄	1	1	yes	characteristic
79	C₂²×C₂₂₇	C₂²×D₄	1	1	yes	characteristic
80	C₂²×C₂₂₇	C₂²×Q₈	1	2	yes	—
81	C₂²×C₂₂₇	C₂×#41	1	1	yes	characteristic
82	C₂²×C₂₂₇	C₂×#41	1	2	yes	—
83	C₄×C₂₂₇	—	2	2	no	—
84	C₄×C₂₂₇	—	2	4	no	—
85	C₄×C₂₂₇	#121	1	4	yes	—
86	C₄×C₂₂₇	C₂²⋊Q₈	1	8	yes	complemented
87	Dic₂₂₇	—	4	4	no	—
88	Dic₂₂₇	—	4	4	no	—
89	C₂×C₂₂₇	—	2	4	no	—
90	C₂×C₂₂₇	C₂×#121	1	1	yes	characteristic
91	C₂×C₂₂₇	C₂×C₂²⋊Q₈	1	2	yes	—
92	C₂×C₂₂₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
93	C₂×C₂₂₇	#532	1	1	yes	characteristic
94	C₂×C₂₂₇	#533	1	2	yes	—
95	C₂₂₇	#2857	1	1	yes	characteristic, complemented, Sylow
96	#2857	—	227	1	no	maximal, Sylow
97	C₂×C₄⋊Q₈	—	227	1	no	—
98	C₂×C₂²⋊Q₈	—	227	2	no	—
99	C₂²×C₄²	D₂₂₇	1	1	yes	characteristic
100	#391	—	227	2	no	—
101	#389	—	227	4	no	—
102	#384	—	227	1	no	—
103	#380	—	227	4	no	—
104	C₂²×Q₈	—	227	2	no	—
105	C₂³×C₄	C₂×D₂₂₇	1	1	yes	characteristic
106	C₂³×C₄	C₂×D₂₂₇	1	2	yes	—
107	C₄⋊Q₈	—	454	4	no	—
108	C₂²⋊Q₈	—	454	8	no	—
109	C₂×C₄⋊C₄	—	227	2	no	—
110	C₂×C₄⋊C₄	—	227	4	no	—
111	C₂×C₄⋊C₄	—	227	4	no	—
112	C₂×C₄⋊C₄	—	227	4	no	—
113	C₂×C₂²⋊C₄	—	227	4	no	—
114	C₂×C₄²	—	2	4	no	—
115	C₂×C₄²	C₂×D₂₂₇	1	2	yes	—
116	C₂×C₄²	C₂×D₂₂₇	1	1	yes	characteristic
117	C₂×C₄²	C₂×D₂₂₇	1	1	yes	characteristic
118	#95	—	227	8	no	—
119	C₂⁴	C₂²×D₂₂₇	1	1	yes	characteristic
120	C₂×Q₈	—	454	4	no	—
121	C₂×Q₈	—	454	4	no	—
122	C₂×Q₈	—	454	4	no	—
123	C₂²×C₄	—	2	2	no	—
124	C₂²×C₄	—	2	4	no	—
125	C₂²×C₄	—	2	2	no	—
126	C₂²×C₄	—	2	4	no	—
127	C₂²×C₄	—	227	4	no	—
128	C₂²×C₄	—	227	4	no	—
129	C₂²×C₄	D₉₀₈	1	4	yes	—
130	C₂²×C₄	Dic₄₅₄	1	8	yes	complemented
131	C₂²×C₄	C₂²×D₂₂₇	1	1	yes	characteristic
132	C₂²×C₄	C₂²×D₂₂₇	1	2	yes	—
133	C₂²×C₄	C₂²×D₂₂₇	1	1	yes	characteristic
134	C₂²×C₄	C₂²×D₂₂₇	1	2	yes	—
135	C₄⋊C₄	—	454	8	no	—
136	C₄⋊C₄	—	454	8	no	—
137	C₄⋊C₄	—	454	4	no	—
138	C₄⋊C₄	—	454	8	no	—
139	C₂²⋊C₄	—	454	8	no	—
140	C₄²	—	2	2	no	—
141	C₄²	—	2	4	no	—
142	C₄²	C₂²⋊D₂₂₇	1	4	yes	—
143	C₂³	—	2	1	no	—
144	C₂³	—	2	1	no	—
145	C₂³	—	2	2	no	—
146	C₂³	C₂×D₉₀₈	1	2	yes	—
147	C₂³	C₂×Dic₄₅₄	1	4	yes	—
148	C₂³	C₂³×D₂₂₇	1	1	yes	characteristic
149	Q₈	—	908	8	no	—
150	C₂×C₄	—	2	1	no	—
151	C₂×C₄	—	2	2	no	—
152	C₂×C₄	—	2	1	no	—
153	C₂×C₄	—	2	2	no	—
154	C₂×C₄	—	2	8	no	—
155	C₂×C₄	—	2	16	no	—
156	C₂×C₄	—	454	4	no	—
157	C₂×C₄	—	454	4	no	—
158	C₂×C₄	—	454	4	no	—
159	C₂×C₄	—	454	8	no	—
160	C₂×C₄	—	454	4	no	—
161	C₂×C₄	C₂×C₂²⋊D₂₂₇	1	2	yes	—
162	C₂×C₄	C₂×C₂²⋊D₂₂₇	1	4	yes	—
163	C₂×C₄	C₂×D₉₀₈	1	2	yes	—
164	C₂×C₄	C₂×D₉₀₈	1	2	yes	—
165	C₂×C₄	C₂×Dic₄₅₄	1	4	yes	—
166	C₂×C₄	C₂×Dic₄₅₄	1	4	yes	—
167	C₂×C₄	#16813884	1	2	yes	—
168	C₂×C₄	#16813884	1	4	yes	—
169	C₂²	—	2	2	no	—
170	C₂²	—	2	4	no	—
171	C₂²	—	2	2	no	—
172	C₂²	—	2	4	no	—
173	C₂²	#20300288	1	4	yes	complemented
174	C₂²	C₂²×C₂²⋊D₂₂₇	1	1	yes	characteristic
175	C₂²	C₂²×D₉₀₈	1	1	yes	characteristic
176	C₂²	C₂²×Dic₄₅₄	1	2	yes	—
177	C₂²	C₂×#16813884	1	1	yes	characteristic
178	C₂²	C₂×#16813884	1	2	yes	—
179	C₄	—	2	2	no	—
180	C₄	—	2	4	no	—
181	C₄	—	908	4	no	—
182	C₄	—	908	4	no	—
183	C₄	#20300262	1	4	yes	—
184	C₄	#20300267	1	8	yes	complemented
185	C₂	—	2	4	no	—
186	C₂	C₂×#20300262	1	1	yes	characteristic
187	C₂	C₂×#20300267	1	2	yes	—
188	C₂	C₂×#20300288	1	1	yes	characteristic
189	C₂	#28409582	1	1	yes	characteristic
190	C₂	#28409589	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#20300288

C₂

yes

maximal, characteristic, complemented

C₂×#20300267

C₂

yes

maximal

#28408938

C₂

yes

maximal, complemented

#28408930

C₂

yes

maximal, complemented

#28408902

C₂

yes

maximal, characteristic, complemented

#28408892

C₂

yes

maximal

C₂²×C₄²×C₂₂₇

C₂

yes

maximal, characteristic

C₂²×Dic₄₅₄

C₂²

yes

—

#20300288

—

#20300267

—

C₂×C₄⋊Dic₂₂₇

C₂²

yes

—

C₂×C₄⋊Dic₂₂₇

C₂²

yes

—

C₂×C₄⋊Dic₂₂₇

C₂²

yes

—

C₂×Dic₂₂₇⋊C₄

C₂²

yes

—

C₂×C₂²⋊Dic₂₂₇

C₂²

yes

—

C₂₂₇⋊#95

C₂²

yes

—

C₂³×C₄×C₂₂₇

C₂²

yes

characteristic

C₂³×C₄×C₂₂₇

C₂²

yes

—

C₂×C₄²×C₂₂₇

—

C₂×C₄²×C₂₂₇

C₂²

yes

—

C₂×C₄²×C₂₂₇

C₂²

yes

characteristic

C₂×C₄²×C₂₂₇

C₂²

yes

characteristic

C₂×Dic₄₅₄

—

C₂×Dic₄₅₄

—

C₂×Dic₄₅₄

—

C₂²×Dic₂₂₇

C₂³

yes

—

C₂²×Dic₂₂₇

C₂³

yes

—

C₄⋊Dic₂₂₇

—

C₄⋊Dic₂₂₇

—

C₄⋊Dic₂₂₇

—

Dic₂₂₇⋊C₄

—

C₂²⋊Dic₂₂₇

—

C₂⁴×C₂₂₇

C₂³

yes

characteristic

C₂²×C₄×C₂₂₇

—

C₂²×C₄×C₂₂₇

—

C₂²×C₄×C₂₂₇

—

C₂²×C₄×C₂₂₇

—

C₂²×C₄×C₂₂₇

D₄

yes

—

C₂²×C₄×C₂₂₇

Q₈

yes

complemented

C₂²×C₄×C₂₂₇

C₂³

yes

characteristic

C₂²×C₄×C₂₂₇

C₂³

yes

—

C₂²×C₄×C₂₂₇

C₂³

yes

characteristic

C₂²×C₄×C₂₂₇

C₂³

yes

—

C₄²×C₂₂₇

—

C₄²×C₂₂₇

—

C₄²×C₂₂₇

D₄

yes

—

Dic₄₅₄

—

C₂×Dic₂₂₇

—

C₂×Dic₂₂₇

—

C₂×Dic₂₂₇

—

C₂×Dic₂₂₇

—

C₂×Dic₂₂₇

—

C₂³×C₂₂₇

—

C₂³×C₂₂₇

—

C₂³×C₂₂₇

—

C₂³×C₂₂₇

C₂×D₄

yes

—

C₂³×C₂₂₇

C₂×Q₈

yes

—

C₂³×C₂₂₇

C₂⁴

yes

characteristic

C₂×C₄×C₂₂₇

—

C₂×C₄×C₂₂₇

—

C₂×C₄×C₂₂₇

—

C₂×C₄×C₂₂₇

—

C₂×C₄×C₂₂₇

—

C₂×C₄×C₂₂₇

—

C₂×C₄×C₂₂₇

C₂×D₄

yes

—

C₂×C₄×C₂₂₇

C₂×D₄

yes

—

C₂×C₄×C₂₂₇

C₂×D₄

yes

—

C₂×C₄×C₂₂₇

C₂×D₄

yes

—

C₂×C₄×C₂₂₇

C₂×Q₈

yes

—

C₂×C₄×C₂₂₇

C₂×Q₈

yes

—

C₂×C₄×C₂₂₇

#41

yes

—

C₂×C₄×C₂₂₇

#41

yes

—

C₂²×C₂₂₇

—

C₂²×C₂₂₇

—

C₂²×C₂₂₇

—

C₂²×C₂₂₇

—

C₂²×C₂₂₇

C₄⋊Q₈

yes

complemented

C₂²×C₂₂₇

C₂²×D₄

yes

characteristic

C₂²×C₂₂₇

C₂²×D₄

yes

characteristic

C₂²×C₂₂₇

C₂²×Q₈

yes

—

C₂²×C₂₂₇

C₂×#41

yes

characteristic

C₂²×C₂₂₇

C₂×#41

yes

—

C₄×C₂₂₇

—

C₄×C₂₂₇

—

C₄×C₂₂₇

#121

yes

—

C₄×C₂₂₇

C₂²⋊Q₈

yes

complemented

Dic₂₂₇

—

Dic₂₂₇

—

C₂×C₂₂₇

—

C₂×C₂₂₇

C₂×#121

yes

characteristic

C₂×C₂₂₇

C₂×C₂²⋊Q₈

yes

—

C₂×C₂₂₇

C₂×C₄⋊Q₈

yes

C₂×C₂₂₇

yes

C₂×C₂₂₇

yes

—

C₂₂₇

#2857

yes

characteristic, complemented, Sylow

#2857

—

227

maximal, Sylow

C₂×C₄⋊Q₈

—

227

—

C₂×C₂²⋊Q₈

—

227

—

C₂²×C₄²

D₂₂₇

yes

characteristic

100

#391

—

227

—

101

#389

—

227

—

102

#384

—

227

—

103

#380

—

227

—

104

C₂²×Q₈

—

227

—

105

C₂³×C₄

C₂×D₂₂₇

yes

characteristic

106

C₂³×C₄

C₂×D₂₂₇

yes

—

107

C₄⋊Q₈

—

454

—

108

C₂²⋊Q₈

—

454

—

109

C₂×C₄⋊C₄

—

227

—

110

C₂×C₄⋊C₄

—

227

—

111

C₂×C₄⋊C₄

—

227

—

112

C₂×C₄⋊C₄

—

227

—

113

C₂×C₂²⋊C₄

—

227

—

114

C₂×C₄²

—

115

C₂×C₄²

C₂×D₂₂₇

yes

—

116

C₂×C₄²

C₂×D₂₂₇

yes

characteristic

117

C₂×C₄²

C₂×D₂₂₇

yes

characteristic

118

#95

—

227

—

119

C₂⁴

C₂²×D₂₂₇

yes

characteristic

120

C₂×Q₈

—

454

—

121

C₂×Q₈

—

454

—

122

C₂×Q₈

—

454

—

123

C₂²×C₄

—

124

C₂²×C₄

—

125

C₂²×C₄

—

126

C₂²×C₄

—

127

C₂²×C₄

—

227

—

128

C₂²×C₄

—

227

—

129

C₂²×C₄

D₉₀₈

yes

—

130

C₂²×C₄

Dic₄₅₄

yes

complemented

131

C₂²×C₄

C₂²×D₂₂₇

yes

characteristic

132

C₂²×C₄

C₂²×D₂₂₇

yes

—

133

C₂²×C₄

C₂²×D₂₂₇

yes

characteristic

134

C₂²×C₄

C₂²×D₂₂₇

yes

—

135

C₄⋊C₄

—

454

—

136

C₄⋊C₄

—

454

—

137

C₄⋊C₄

—

454

—

138

C₄⋊C₄

—

454

—

139

C₂²⋊C₄

—

454

—

140

C₄²

—

141

C₄²

—

142

C₄²

C₂²⋊D₂₂₇

yes

—

143

C₂³

—

144

C₂³

—

145

C₂³

—

146

C₂³

C₂×D₉₀₈

yes

—

147

C₂³

C₂×Dic₄₅₄

yes

—

148

C₂³

C₂³×D₂₂₇

yes

characteristic

149

Q₈

—

908

—

150

C₂×C₄

—

151

C₂×C₄

—

152

C₂×C₄

—

153

C₂×C₄

—

154

C₂×C₄

—

155

C₂×C₄

—

156

C₂×C₄

—

454

—

157

C₂×C₄

—

454

—

158

C₂×C₄

—

454

—

159

C₂×C₄

—

454

—

160

C₂×C₄

—

454

—

161

C₂×C₄

C₂×C₂²⋊D₂₂₇

yes

—

162

C₂×C₄

C₂×C₂²⋊D₂₂₇

yes

—

163

C₂×C₄

C₂×D₉₀₈

yes

—

164

C₂×C₄

C₂×D₉₀₈

yes

—

165

C₂×C₄

C₂×Dic₄₅₄

yes

—

166

C₂×C₄

C₂×Dic₄₅₄

yes

—

167

C₂×C₄

#16813884

yes

—

168

C₂×C₄

#16813884

yes

—

169

C₂²

—

170

C₂²

—

171

C₂²

—

172

C₂²

—

173

C₂²

#20300288

yes

complemented

174

C₂²

C₂²×C₂²⋊D₂₂₇

yes

characteristic

175

C₂²

C₂²×D₉₀₈

yes

characteristic

176

C₂²

C₂²×Dic₄₅₄

yes

—

177

C₂²

C₂×#16813884

yes

characteristic

178

C₂²

C₂×#16813884

yes

—

179

C₄

—

180

C₄

—

181

C₄

—

908

—

182

C₄

—

908

—

183

C₄

#20300262

yes

—

184

C₄

#20300267

yes

complemented

185

C₂

—

186

C₂

C₂×#20300262

yes

characteristic

187

C₂

C₂×#20300267

yes

—

188

C₂

C₂×#20300288

yes

characteristic

189

C₂

#28409582

yes

characteristic

190

C₂

#28409589

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₂₂₇
commutator, socle, cosocle	C₂³×C₂₂₇	C₂⁴
Fitting	C₂²×C₄²×C₂₂₇	C₂
prime radical	C₂⁴×C₂₂₇	C₂³
hypercenter	C₂²×C₄²	D₂₂₇
hypocenter	C₂₂₇	#2857
LCS	G ▷ C₂³×C₂₂₇ ▷ C₂₂₇
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄²

subgroup

G/H

center, Frattini

C₂³

C₂³×D₂₂₇

commutator, socle, cosocle

C₂³×C₂₂₇

C₂⁴

Fitting

C₂²×C₄²×C₂₂₇

C₂

prime radical

C₂⁴×C₂₂₇

C₂³

hypercenter

C₂²×C₄²

D₂₂₇

C₂₂₇

G ▷ C₂³×C₂₂₇ ▷ C₂₂₇

C₁ ◁ C₂³ ◁ C₂²×C₄²

N	H ≅ G/N	type
1. C₂×#20300288	C₂	semidirect
3. #28408938	C₂	semidirect
4. #28408930	C₂	semidirect
5. #28408902	C₂	semidirect
39. C₂²×C₄×C₂₂₇	Q₈	semidirect
77. C₂²×C₂₂₇	C₄⋊Q₈	semidirect
86. C₄×C₂₂₇	C₂²⋊Q₈	semidirect
95. C₂₂₇	#2857	semidirect
130. C₂²×C₄	Dic₄₅₄	semidirect
173. C₂²	#20300288	semidirect
184. C₄	#20300267	semidirect

H ≅ G/N

type

1. C₂×#20300288

C₂

semidirect

3. #28408938

C₂

semidirect

4. #28408930

C₂

semidirect

5. #28408902

C₂

semidirect

39. C₂²×C₄×C₂₂₇

Q₈

semidirect

77. C₂²×C₂₂₇

C₄⋊Q₈

semidirect

86. C₄×C₂₂₇

C₂²⋊Q₈

semidirect

95. C₂₂₇

#2857

semidirect

130. C₂²×C₄

Dic₄₅₄

semidirect

173. C₂²

#20300288

semidirect

184. C₄

#20300267

semidirect

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

subgroup	index
C₂×#20300288	2
C₂×#20300267	2
#28408938	2
#28408930	2
#28408902	2
#28408892	2
C₂²×C₄²×C₂₂₇	2
#2857	227

subgroup

index

C₂²×C₄²×C₂₂₇

227

Subgroups — #44408086

Conjugacy classes of subgroups

Complements

Maximal subgroups