Group #28372783 — subgroups

Subgroups — C₂×#20295316 #28372783

Order 13952.

480 conjugacy classes of subgroups; only the 181 normal subgroups are shown.

normal subgroups only

This group has 480 conjugacy classes of subgroups — too many to draw. Only its 181 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×#16812699	C₂	1	1	yes	maximal, characteristic, complemented
2	#20295316	C₂	1	8	yes	maximal, direct product factor
3	C₂×#16812630	C₂	1	2	yes	maximal, complemented
4	C₂×C₄⋊#11724784	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16812620	C₂	1	2	yes	maximal
6	C₂×C₄×D₄×C₁₀₉	C₂	1	1	yes	maximal, characteristic
7	C₂²×Dic₂₁₈	—	2	1	no	—
8	C₂²×#11724784	C₂²	1	2	yes	—
9	#16812699	—	2	2	no	—
10	#16812699	C₂²	1	4	yes	complemented
11	C₂×C₄⋊Dic₁₀₉	—	2	1	no	—
12	C₂×C₄⋊Dic₁₀₉	C₂²	1	2	yes	—
13	#16812630	C₂²	1	8	yes	complemented
14	C₄⋊#11724784	C₂²	1	4	yes	complemented
15	#16812620	C₂²	1	8	yes	—
16	C₂²×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
17	C₂³×C₄×C₁₀₉	—	2	1	no	—
18	C₄×D₄×C₁₀₉	—	2	2	no	—
19	C₄×D₄×C₁₀₉	C₂²	1	4	yes	—
20	C₂×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
21	C₂×C₂²⋊C₄×C₁₀₉	—	2	1	no	—
22	C₂×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
23	C₂×Dic₂₁₈	—	2	4	no	—
24	C₂×Dic₂₁₈	—	4	4	no	—
25	C₂²×Dic₁₀₉	—	2	2	no	—
26	C₂×#11724784	—	2	4	no	—
27	C₂×#11724784	C₂³	1	4	yes	—
28	C₄⋊Dic₁₀₉	—	2	4	no	—
29	C₄⋊Dic₁₀₉	—	2	2	no	—
30	C₄⋊Dic₁₀₉	C₂³	1	4	yes	—
31	C₂⁴×C₁₀₉	—	2	1	no	—
32	C₂×D₄×C₁₀₉	—	2	1	no	—
33	C₂×D₄×C₁₀₉	—	2	2	no	—
34	C₂×D₄×C₁₀₉	Q₈	1	4	yes	complemented
35	C₂×D₄×C₁₀₉	C₂³	1	2	yes	—
36	C₂²×C₄×C₁₀₉	—	2	1	no	—
37	C₂²×C₄×C₁₀₉	—	2	4	no	—
38	C₂²×C₄×C₁₀₉	—	4	4	no	—
39	C₂²×C₄×C₁₀₉	D₄	1	1	yes	characteristic
40	C₂²×C₄×C₁₀₉	D₄	1	1	yes	characteristic
41	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
42	C₄⋊C₄×C₁₀₉	—	2	1	no	—
43	C₄⋊C₄×C₁₀₉	C₂³	1	2	yes	—
44	C₂²⋊C₄×C₁₀₉	—	2	4	no	—
45	C₄²×C₁₀₉	D₄	1	2	yes	—
46	C₄²×C₁₀₉	C₂³	1	2	yes	—
47	C₂³×C₁₀₉	—	2	4	no	—
48	C₂³×C₁₀₉	—	2	2	no	—
49	C₂³×C₁₀₉	—	4	2	no	—
50	C₂³×C₁₀₉	—	4	2	no	—
51	C₂³×C₁₀₉	C₂×D₄	1	1	yes	characteristic
52	D₄×C₁₀₉	—	2	4	no	—
53	D₄×C₁₀₉	—	2	2	no	—
54	D₄×C₁₀₉	C₂×Q₈	1	4	yes	complemented
55	C₂×C₄×C₁₀₉	—	2	2	no	—
56	C₂×C₄×C₁₀₉	—	2	2	no	—
57	C₂×C₄×C₁₀₉	—	4	2	no	—
58	C₂×C₄×C₁₀₉	—	4	8	no	—
59	C₂×C₄×C₁₀₉	SD₁₆	1	4	yes	—
60	C₂×C₄×C₁₀₉	C₂×D₄	1	2	yes	—
61	C₂×C₄×C₁₀₉	C₂×D₄	1	1	yes	characteristic
62	C₂×C₄×C₁₀₉	C₂×D₄	1	2	yes	—
63	C₂×C₄×C₁₀₉	C₂×Q₈	1	2	yes	—
64	C₂×C₄×C₁₀₉	#41	1	2	yes	—
65	C₂×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
66	C₂×Dic₁₀₉	—	2	4	no	—
67	C₂×Dic₁₀₉	—	4	4	no	—
68	Dic₂₁₈	—	4	8	no	—
69	#11724784	—	2	4	no	—
70	C₂²×C₁₀₉	—	2	4	no	—
71	C₂²×C₁₀₉	—	4	2	no	—
72	C₂²×C₁₀₉	—	4	2	no	—
73	C₂²×C₁₀₉	—	4	8	no	—
74	C₂²×C₁₀₉	C₂²⋊Q₈	1	2	yes	—
75	C₂²×C₁₀₉	C₂×SD₁₆	1	2	yes	—
76	C₂²×C₁₀₉	AGL(1,ℤ/8)	1	2	yes	—
77	C₂²×C₁₀₉	C₂²×D₄	1	1	yes	characteristic
78	C₄×C₁₀₉	—	2	2	no	—
79	C₄×C₁₀₉	—	4	2	no	—
80	C₄×C₁₀₉	C₂²⋊Q₈	1	2	yes	—
81	C₄×C₁₀₉	C₂×SD₁₆	1	4	yes	—
82	C₄×C₁₀₉	C₂²×Q₈	1	1	yes	characteristic
83	C₄×C₁₀₉	C₂×#41	1	1	yes	characteristic
84	Dic₁₀₉	—	4	4	no	—
85	C₂×C₁₀₉	—	4	4	no	—
86	C₂×C₁₀₉	#476	1	4	yes	complemented
87	C₂×C₁₀₉	C₂×C₂²⋊Q₈	1	1	yes	characteristic
88	C₂×C₁₀₉	C₂²×SD₁₆	1	1	yes	characteristic
89	C₂×C₁₀₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
90	C₂×#476	—	109	1	no	maximal, Sylow
91	C₁₀₉	C₂×#476	1	1	yes	characteristic, complemented, Sylow
92	C₂×C₄⋊Q₈	—	109	1	no	—
93	C₂×C₄×D₄	D₁₀₉	1	1	yes	characteristic
94	#476	—	109	8	no	—
95	C₂×#106	—	109	2	no	—
96	C₂×C₄⋊C₈	—	109	1	no	—
97	C₂×#102	—	109	2	no	—
98	C₂²×Q₈	—	218	1	no	—
99	C₂²×D₄	C₂×D₁₀₉	1	1	yes	characteristic
100	C₂³×C₄	—	2	1	no	—
101	C₂²×C₈	—	109	2	no	—
102	C₄⋊Q₈	—	109	4	no	—
103	C₄⋊Q₈	—	218	2	no	—
104	C₄×D₄	—	2	2	no	—
105	C₄×D₄	C₂×D₁₀₉	1	4	yes	—
106	C₂×C₄⋊C₄	—	109	2	no	—
107	C₂×C₄⋊C₄	—	218	1	no	—
108	C₂×C₄⋊C₄	C₂×D₁₀₉	1	1	yes	characteristic
109	C₂×C₂²⋊C₄	—	2	1	no	—
110	C₂×C₄²	C₂×D₁₀₉	1	1	yes	characteristic
111	#106	—	109	8	no	—
112	C₄⋊C₈	—	109	4	no	—
113	#102	—	109	8	no	—
114	C₂⁴	—	2	1	no	—
115	C₂×Q₈	—	436	4	no	—
116	C₂×Q₈	—	218	4	no	—
117	C₂×D₄	—	2	1	no	—
118	C₂×D₄	—	2	2	no	—
119	C₂×D₄	Dic₂₁₈	1	4	yes	complemented
120	C₂×D₄	C₂²×D₁₀₉	1	2	yes	—
121	C₂²×C₄	—	2	1	no	—
122	C₂²×C₄	—	2	4	no	—
123	C₂²×C₄	—	4	4	no	—
124	C₂²×C₄	—	218	2	no	—
125	C₂²×C₄	C₂²⋊D₁₀₉	1	1	yes	characteristic
126	C₂²×C₄	C₂²⋊D₁₀₉	1	1	yes	characteristic
127	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
128	C₂×C₈	—	109	4	no	—
129	C₂×C₈	—	218	4	no	—
130	C₄⋊C₄	—	2	1	no	—
131	C₄⋊C₄	—	109	4	no	—
132	C₄⋊C₄	—	218	2	no	—
133	C₄⋊C₄	—	218	4	no	—
134	C₄⋊C₄	C₂²×D₁₀₉	1	2	yes	—
135	C₂²⋊C₄	—	2	4	no	—
136	C₄²	C₂²⋊D₁₀₉	1	2	yes	—
137	C₄²	C₂²×D₁₀₉	1	2	yes	—
138	C₂³	—	2	4	no	—
139	C₂³	—	2	2	no	—
140	C₂³	—	4	2	no	—
141	C₂³	—	4	2	no	—
142	C₂³	C₂×C₂²⋊D₁₀₉	1	1	yes	characteristic
143	Q₈	—	436	8	no	—
144	D₄	—	2	4	no	—
145	D₄	—	2	2	no	—
146	D₄	C₂×Dic₂₁₈	1	4	yes	complemented
147	C₂×C₄	—	2	2	no	—
148	C₂×C₄	—	2	2	no	—
149	C₂×C₄	—	4	2	no	—
150	C₂×C₄	—	4	8	no	—
151	C₂×C₄	—	436	4	no	—
152	C₂×C₄	—	218	4	no	—
153	C₂×C₄	#13182017	1	4	yes	—
154	C₂×C₄	C₂×C₂²⋊D₁₀₉	1	2	yes	—
155	C₂×C₄	C₂×C₂²⋊D₁₀₉	1	1	yes	characteristic
156	C₂×C₄	C₂×C₂²⋊D₁₀₉	1	2	yes	—
157	C₂×C₄	C₂×Dic₂₁₈	1	2	yes	—
158	C₂×C₄	#13182029	1	2	yes	—
159	C₂×C₄	C₂³×D₁₀₉	1	1	yes	characteristic
160	C₈	—	218	4	no	—
161	C₂²	—	2	4	no	—
162	C₂²	—	4	2	no	—
163	C₂²	—	4	2	no	—
164	C₂²	—	4	8	no	—
165	C₂²	#16812678	1	2	yes	—
166	C₂²	C₂×#13182017	1	2	yes	—
167	C₂²	#16812724	1	2	yes	—
168	C₂²	C₂²×C₂²⋊D₁₀₉	1	1	yes	characteristic
169	C₄	—	2	2	no	—
170	C₄	—	4	2	no	—
171	C₄	—	436	4	no	—
172	C₄	#16812678	1	2	yes	—
173	C₄	C₂×#13182017	1	4	yes	—
174	C₄	C₂²×Dic₂₁₈	1	1	yes	characteristic
175	C₄	C₂×#13182029	1	1	yes	characteristic
176	C₂	—	4	4	no	—
177	C₂	#20295316	1	4	yes	direct product factor
178	C₂	C₂×#16812678	1	1	yes	characteristic
179	C₂	C₂²×#13182017	1	1	yes	characteristic
180	C₂	C₂×#16812724	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#16812699

C₂

yes

maximal, characteristic, complemented

#20295316

C₂

yes

maximal, direct product factor

C₂×#16812630

C₂

yes

maximal, complemented

C₂×C₄⋊#11724784

C₂

yes

maximal, characteristic, complemented

C₂×#16812620

C₂

yes

maximal

C₂×C₄×D₄×C₁₀₉

C₂

yes

maximal, characteristic

C₂²×Dic₂₁₈

—

C₂²×#11724784

C₂²

yes

—

#16812699

—

#16812699

C₂²

yes

complemented

C₂×C₄⋊Dic₁₀₉

—

C₂×C₄⋊Dic₁₀₉

C₂²

yes

—

#16812630

C₂²

yes

complemented

C₄⋊#11724784

C₂²

yes

complemented

#16812620

C₂²

yes

—

C₂²×D₄×C₁₀₉

C₂²

yes

characteristic

C₂³×C₄×C₁₀₉

—

C₄×D₄×C₁₀₉

—

C₄×D₄×C₁₀₉

C₂²

yes

—

C₂×C₄⋊C₄×C₁₀₉

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₁₀₉

—

C₂×C₄²×C₁₀₉

C₂²

yes

characteristic

C₂×Dic₂₁₈

—

C₂×Dic₂₁₈

—

C₂²×Dic₁₀₉

—

C₂×#11724784

—

C₂×#11724784

C₂³

yes

—

C₄⋊Dic₁₀₉

—

C₄⋊Dic₁₀₉

—

C₄⋊Dic₁₀₉

C₂³

yes

—

C₂⁴×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

—

C₂×D₄×C₁₀₉

Q₈

yes

complemented

C₂×D₄×C₁₀₉

C₂³

yes

—

C₂²×C₄×C₁₀₉

—

C₂²×C₄×C₁₀₉

—

C₂²×C₄×C₁₀₉

—

C₂²×C₄×C₁₀₉

D₄

yes

characteristic

C₂²×C₄×C₁₀₉

D₄

yes

characteristic

C₂²×C₄×C₁₀₉

C₂³

yes

characteristic

C₄⋊C₄×C₁₀₉

—

C₄⋊C₄×C₁₀₉

C₂³

yes

—

C₂²⋊C₄×C₁₀₉

—

C₄²×C₁₀₉

D₄

yes

—

C₄²×C₁₀₉

C₂³

yes

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

—

C₂³×C₁₀₉

C₂×D₄

yes

characteristic

D₄×C₁₀₉

—

D₄×C₁₀₉

—

D₄×C₁₀₉

C₂×Q₈

yes

complemented

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

—

C₂×C₄×C₁₀₉

SD₁₆

yes

—

C₂×C₄×C₁₀₉

C₂×D₄

yes

—

C₂×C₄×C₁₀₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₀₉

C₂×D₄

yes

—

C₂×C₄×C₁₀₉

C₂×Q₈

yes

—

C₂×C₄×C₁₀₉

#41

yes

—

C₂×C₄×C₁₀₉

C₂⁴

yes

characteristic

C₂×Dic₁₀₉

—

C₂×Dic₁₀₉

—

Dic₂₁₈

—

#11724784

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

—

C₂²×C₁₀₉

C₂²⋊Q₈

yes

—

C₂²×C₁₀₉

C₂×SD₁₆

yes

—

C₂²×C₁₀₉

AGL(1,ℤ/8)

yes

—

C₂²×C₁₀₉

C₂²×D₄

yes

characteristic

C₄×C₁₀₉

—

C₄×C₁₀₉

—

C₄×C₁₀₉

C₂²⋊Q₈

yes

—

C₄×C₁₀₉

C₂×SD₁₆

yes

—

C₄×C₁₀₉

C₂²×Q₈

yes

characteristic

C₄×C₁₀₉

C₂×#41

yes

characteristic

Dic₁₀₉

—

C₂×C₁₀₉

—

C₂×C₁₀₉

#476

yes

complemented

C₂×C₁₀₉

C₂×C₂²⋊Q₈

yes

characteristic

C₂×C₁₀₉

C₂²×SD₁₆

yes

C₂×C₁₀₉

yes

—

109

maximal, Sylow

C₁₀₉

C₂×#476

yes

characteristic, complemented, Sylow

C₂×C₄⋊Q₈

—

109

—

C₂×C₄×D₄

D₁₀₉

yes

characteristic

#476

—

109

—

C₂×#106

—

109

—

C₂×C₄⋊C₈

—

109

—

C₂×#102

—

109

—

C₂²×Q₈

—

218

—

C₂²×D₄

C₂×D₁₀₉

yes

characteristic

100

C₂³×C₄

—

101

C₂²×C₈

—

109

—

102

C₄⋊Q₈

—

109

—

103

C₄⋊Q₈

—

218

—

104

C₄×D₄

—

105

C₄×D₄

C₂×D₁₀₉

yes

—

106

C₂×C₄⋊C₄

—

109

—

107

C₂×C₄⋊C₄

—

218

—

108

C₂×C₄⋊C₄

C₂×D₁₀₉

yes

characteristic

109

C₂×C₂²⋊C₄

—

110

C₂×C₄²

C₂×D₁₀₉

yes

characteristic

111

#106

—

109

—

112

C₄⋊C₈

—

109

—

113

#102

—

109

—

114

C₂⁴

—

115

C₂×Q₈

—

436

—

116

C₂×Q₈

—

218

—

117

C₂×D₄

—

118

C₂×D₄

—

119

C₂×D₄

Dic₂₁₈

yes

complemented

120

C₂×D₄

C₂²×D₁₀₉

yes

—

121

C₂²×C₄

—

122

C₂²×C₄

—

123

C₂²×C₄

—

124

C₂²×C₄

—

218

—

125

C₂²×C₄

C₂²⋊D₁₀₉

yes

characteristic

126

C₂²×C₄

C₂²⋊D₁₀₉

yes

characteristic

127

C₂²×C₄

C₂²×D₁₀₉

yes

characteristic

128

C₂×C₈

—

109

—

129

C₂×C₈

—

218

—

130

C₄⋊C₄

—

131

C₄⋊C₄

—

109

—

132

C₄⋊C₄

—

218

—

133

C₄⋊C₄

—

218

—

134

C₄⋊C₄

C₂²×D₁₀₉

yes

—

135

C₂²⋊C₄

—

136

C₄²

C₂²⋊D₁₀₉

yes

—

137

C₄²

C₂²×D₁₀₉

yes

—

138

C₂³

—

139

C₂³

—

140

C₂³

—

141

C₂³

—

142

C₂³

C₂×C₂²⋊D₁₀₉

yes

characteristic

143

Q₈

—

436

—

144

D₄

—

145

D₄

—

146

D₄

C₂×Dic₂₁₈

yes

complemented

147

C₂×C₄

—

148

C₂×C₄

—

149

C₂×C₄

—

150

C₂×C₄

—

151

C₂×C₄

—

436

—

152

C₂×C₄

—

218

—

153

C₂×C₄

#13182017

yes

—

154

C₂×C₄

C₂×C₂²⋊D₁₀₉

yes

—

155

C₂×C₄

C₂×C₂²⋊D₁₀₉

yes

characteristic

156

C₂×C₄

C₂×C₂²⋊D₁₀₉

yes

—

157

C₂×C₄

C₂×Dic₂₁₈

yes

—

158

C₂×C₄

#13182029

yes

—

159

C₂×C₄

C₂³×D₁₀₉

yes

characteristic

160

C₈

—

218

—

161

C₂²

—

162

C₂²

—

163

C₂²

—

164

C₂²

—

165

C₂²

#16812678

yes

—

166

C₂²

C₂×#13182017

yes

—

167

C₂²

#16812724

yes

—

168

C₂²

C₂²×C₂²⋊D₁₀₉

yes

characteristic

169

C₄

—

170

C₄

—

171

C₄

—

436

—

172

C₄

#16812678

yes

—

173

C₄

C₂×#13182017

yes

—

174

C₄

C₂²×Dic₂₁₈

yes

characteristic

175

C₄

C₂×#13182029

yes

characteristic

176

C₂

—

177

C₂

#20295316

yes

direct product factor

178

C₂

C₂×#16812678

yes

characteristic

179

C₂

C₂²×#13182017

yes

characteristic

180

C₂

C₂×#16812724

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊D₁₀₉
commutator, cosocle	C₂×C₄×C₁₀₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₀₉
Fitting	C₂×C₄×D₄×C₁₀₉	C₂
socle	C₂³×C₁₀₉	C₂×D₄
prime radical	C₂²×D₄×C₁₀₉	C₂²
hypercenter	C₂×C₄×D₄	D₁₀₉
hypocenter	C₁₀₉	C₂×#476
LCS	G ▷ C₂×C₄×C₁₀₉ ▷ C₂×C₁₀₉ ▷ C₁₀₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×D₄

subgroup

G/H

center

C₂³

C₂×C₂²⋊D₁₀₉

commutator, cosocle

C₂×C₄×C₁₀₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₀₉

Fitting

C₂×C₄×D₄×C₁₀₉

C₂

socle

C₂³×C₁₀₉

C₂×D₄

prime radical

C₂²×D₄×C₁₀₉

C₂²

hypercenter

C₂×C₄×D₄

D₁₀₉

hypocenter

C₁₀₉

C₂×#476

LCS

G ▷ C₂×C₄×C₁₀₉ ▷ C₂×C₁₀₉ ▷ C₁₀₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×D₄

N	H ≅ G/N	type
1. C₂×#16812699	C₂	semidirect
2. #20295316	C₂	direct (N × H)
3. C₂×#16812630	C₂	semidirect
4. C₂×C₄⋊#11724784	C₂	semidirect
10. #16812699	C₂²	semidirect
13. #16812630	C₂²	semidirect
14. C₄⋊#11724784	C₂²	semidirect
34. C₂×D₄×C₁₀₉	Q₈	semidirect
54. D₄×C₁₀₉	C₂×Q₈	semidirect
86. C₂×C₁₀₉	#476	semidirect
91. C₁₀₉	C₂×#476	semidirect
119. C₂×D₄	Dic₂₁₈	semidirect
146. D₄	C₂×Dic₂₁₈	semidirect
177. C₂	#20295316	direct (N × H)

H ≅ G/N

type

1. C₂×#16812699

C₂

semidirect

2. #20295316

C₂

direct (N × H)

3. C₂×#16812630

C₂

semidirect

4. C₂×C₄⋊#11724784

C₂

semidirect

10. #16812699

C₂²

semidirect

13. #16812630

C₂²

semidirect

14. C₄⋊#11724784

C₂²

semidirect

34. C₂×D₄×C₁₀₉

Q₈

semidirect

54. D₄×C₁₀₉

C₂×Q₈

semidirect

86. C₂×C₁₀₉

#476

semidirect

91. C₁₀₉

C₂×#476

semidirect

119. C₂×D₄

Dic₂₁₈

semidirect

146. D₄

C₂×Dic₂₁₈

semidirect

177. C₂

#20295316

direct (N × H)

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

subgroup	index
C₂×#16812699	2
#20295316	2
C₂×#16812630	2
C₂×C₄⋊#11724784	2
C₂×#16812620	2
C₂×C₄×D₄×C₁₀₉	2
C₂×#476	109

subgroup

index

C₂×C₄×D₄×C₁₀₉

109

Subgroups — C₂×#20295316 #28372783

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C2×#20295316 #28372783

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20295316 #28372783