Group #47986377 — subgroups

Subgroups — C₂×#31799922 #47986377

Order 35456.

908 conjugacy classes of subgroups; only the 277 normal subgroups are shown.

normal subgroups only

This group has 908 conjugacy classes of subgroups — too many to draw. Only its 277 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	C₂³×Dic₅₅₄	C₂	1	1	yes	maximal, characteristic
2	C₂²×#17984542	C₂	1	2	yes	maximal
3	#31799922	C₂	1	8	yes	maximal, direct product factor
4	C₂×#22579787	C₂	1	1	yes	maximal, characteristic
5	C₂×#22579787	C₂	1	2	yes	maximal
6	C₂²×C₄⋊C₄×C₂₇₇	C₂	1	1	yes	maximal, characteristic
7	C₂²×Dic₅₅₄	—	2	8	no	—
8	C₂²×Dic₅₅₄	—	2	4	no	—
9	C₂²×Dic₅₅₄	C₂²	1	4	yes	—
10	C₂³×Dic₂₇₇	C₂²	1	2	yes	—
11	C₂³×Dic₂₇₇	C₂²	1	2	yes	—
12	C₂×#17984542	—	2	8	no	—
13	C₂×#17984542	C₂²	1	8	yes	—
14	#22579787	C₂²	1	4	yes	—
15	#22579787	C₂²	1	8	yes	—
16	C₂³×C₄×C₂₇₇	C₂²	1	1	yes	characteristic
17	C₂³×C₄×C₂₇₇	C₂²	1	1	yes	characteristic
18	C₂³×C₄×C₂₇₇	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₄×C₂₇₇	—	2	4	no	—
20	C₂×C₄⋊C₄×C₂₇₇	C₂²	1	4	yes	—
21	C₂×Dic₅₅₄	—	2	32	no	—
22	C₂×Dic₅₅₄	—	2	16	no	—
23	C₂×Dic₅₅₄	—	2	8	no	—
24	C₂²×Dic₂₇₇	—	2	4	no	—
25	C₂²×Dic₂₇₇	—	2	4	no	—
26	C₂²×Dic₂₇₇	—	2	4	no	—
27	C₂²×Dic₂₇₇	—	2	4	no	—
28	C₂²×Dic₂₇₇	D₄	1	8	yes	—
29	C₂²×Dic₂₇₇	Q₈	1	8	yes	complemented
30	C₂²×Dic₂₇₇	C₂³	1	4	yes	—
31	C₂²×Dic₂₇₇	C₂³	1	4	yes	—
32	#17984542	—	2	16	no	—
33	C₂⁴×C₂₇₇	C₂³	1	1	yes	characteristic
34	C₂²×C₄×C₂₇₇	—	2	2	no	—
35	C₂²×C₄×C₂₇₇	—	2	4	no	—
36	C₂²×C₄×C₂₇₇	—	2	2	no	—
37	C₂²×C₄×C₂₇₇	—	2	2	no	—
38	C₂²×C₄×C₂₇₇	—	2	4	no	—
39	C₂²×C₄×C₂₇₇	D₄	1	4	yes	—
40	C₂²×C₄×C₂₇₇	Q₈	1	4	yes	complemented
41	C₂²×C₄×C₂₇₇	C₂³	1	2	yes	—
42	C₂²×C₄×C₂₇₇	C₂³	1	2	yes	—
43	C₂²×C₄×C₂₇₇	C₂³	1	2	yes	—
44	C₄⋊C₄×C₂₇₇	—	2	8	no	—
45	Dic₅₅₄	—	2	32	no	—
46	C₂×Dic₂₇₇	—	2	16	no	—
47	C₂×Dic₂₇₇	—	2	16	no	—
48	C₂×Dic₂₇₇	—	2	4	no	—
49	C₂×Dic₂₇₇	—	2	4	no	—
50	C₂×Dic₂₇₇	—	2	4	no	—
51	C₂×Dic₂₇₇	—	2	4	no	—
52	C₂×Dic₂₇₇	C₂×D₄	1	8	yes	—
53	C₂×Dic₂₇₇	C₂×Q₈	1	8	yes	complemented
54	C₂³×C₂₇₇	C₂×D₄	1	4	yes	—
55	C₂³×C₂₇₇	C₂×D₄	1	2	yes	—
56	C₂³×C₂₇₇	C₂×Q₈	1	4	yes	—
57	C₂³×C₂₇₇	C₂×Q₈	1	2	yes	—
58	C₂³×C₂₇₇	#41	1	2	yes	—
59	C₂³×C₂₇₇	C₂⁴	1	1	yes	characteristic
60	C₂×C₄×C₂₇₇	—	2	8	no	—
61	C₂×C₄×C₂₇₇	—	2	8	no	—
62	C₂×C₄×C₂₇₇	—	2	2	no	—
63	C₂×C₄×C₂₇₇	—	2	4	no	—
64	C₂×C₄×C₂₇₇	—	2	2	no	—
65	C₂×C₄×C₂₇₇	—	2	2	no	—
66	C₂×C₄×C₂₇₇	—	2	4	no	—
67	C₂×C₄×C₂₇₇	—	4	4	no	—
68	C₂×C₄×C₂₇₇	C₂×D₄	1	4	yes	—
69	C₂×C₄×C₂₇₇	C₂×Q₈	1	4	yes	complemented
70	C₂²×C₂₇₇	#120	1	4	yes	—
71	C₂²×C₂₇₇	C₂²⋊Q₈	1	8	yes	—
72	C₂²×C₂₇₇	C₂²⋊Q₈	1	4	yes	—
73	C₂²×C₂₇₇	C₄⋊Q₈	1	4	yes	—
74	C₂²×C₂₇₇	C₄⋊Q₈	1	8	yes	—
75	C₂²×C₂₇₇	C₂²×D₄	1	2	yes	—
76	C₂²×C₂₇₇	C₂²×D₄	1	1	yes	characteristic
77	C₂²×C₂₇₇	C₂²×Q₈	1	2	yes	—
78	C₂²×C₂₇₇	C₂²×Q₈	1	1	yes	characteristic
79	C₂²×C₂₇₇	C₂×#41	1	1	yes	characteristic
80	C₄×C₂₇₇	—	2	4	no	—
81	C₄×C₂₇₇	—	2	4	no	—
82	C₄×C₂₇₇	—	4	2	no	—
83	Dic₂₇₇	—	2	8	no	—
84	Dic₂₇₇	—	2	8	no	—
85	C₂×C₂₇₇	#395	1	8	yes	complemented
86	C₂×C₂₇₇	C₂×#120	1	1	yes	characteristic
87	C₂×C₂₇₇	C₂×C₂²⋊Q₈	1	2	yes	—
88	C₂×C₂₇₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
89	C₂×C₂₇₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
90	C₂×C₂₇₇	C₂×C₄⋊Q₈	1	2	yes	—
91	C₂₇₇	C₂×#395	1	1	yes	characteristic, complemented, Sylow
92	C₂×#395	—	277	1	no	maximal, Sylow
93	C₂³×Q₈	—	277	1	no	—
94	C₂²×C₄⋊C₄	—	277	2	no	—
95	C₂²×C₄⋊C₄	D₂₇₇	1	1	yes	characteristic
96	#395	—	277	8	no	—
97	C₂×#95	—	277	2	no	—
98	C₂×#95	—	277	1	no	—
99	C₂²×Q₈	—	277	4	no	—
100	C₂²×Q₈	—	554	8	no	—
101	C₂²×Q₈	—	554	4	no	—
102	C₂³×C₄	—	277	2	no	—
103	C₂³×C₄	—	277	2	no	—
104	C₂³×C₄	C₂×D₂₇₇	1	1	yes	characteristic
105	C₂³×C₄	C₂×D₂₇₇	1	1	yes	characteristic
106	C₂³×C₄	C₂×D₂₇₇	1	1	yes	characteristic
107	C₂×C₄⋊C₄	—	2	4	no	—
108	C₂×C₄⋊C₄	—	277	8	no	—
109	C₂×C₄⋊C₄	—	554	8	no	—
110	C₂×C₄⋊C₄	C₂×D₂₇₇	1	4	yes	—
111	#95	—	277	4	no	—
112	#95	—	277	8	no	—
113	C₂⁴	C₂²×D₂₇₇	1	1	yes	characteristic
114	C₂×Q₈	—	554	16	no	—
115	C₂×Q₈	—	554	32	no	—
116	C₂×Q₈	—	554	8	no	—
117	C₂²×C₄	—	2	4	no	—
118	C₂²×C₄	—	2	2	no	—
119	C₂²×C₄	—	2	2	no	—
120	C₂²×C₄	—	2	4	no	—
121	C₂²×C₄	—	2	2	no	—
122	C₂²×C₄	—	277	8	no	—
123	C₂²×C₄	—	277	8	no	—
124	C₂²×C₄	—	277	4	no	—
125	C₂²×C₄	—	277	4	no	—
126	C₂²×C₄	—	554	4	no	—
127	C₂²×C₄	—	554	4	no	—
128	C₂²×C₄	—	554	4	no	—
129	C₂²×C₄	—	554	4	no	—
130	C₂²×C₄	C₂²⋊D₂₇₇	1	4	yes	—
131	C₂²×C₄	Dic₅₅₄	1	4	yes	complemented
132	C₂²×C₄	C₂²×D₂₇₇	1	2	yes	—
133	C₂²×C₄	C₂²×D₂₇₇	1	2	yes	—
134	C₂²×C₄	C₂²×D₂₇₇	1	2	yes	—
135	C₄⋊C₄	—	2	8	no	—
136	C₄⋊C₄	—	554	16	no	—
137	C₂³	D₄×D₂₇₇	1	4	yes	—
138	C₂³	C₂×C₂²⋊D₂₇₇	1	2	yes	—
139	C₂³	Q₈×D₂₇₇	1	4	yes	—
140	C₂³	C₂×Dic₅₅₄	1	2	yes	—
141	C₂³	#17984563	1	2	yes	—
142	C₂³	C₂³×D₂₇₇	1	1	yes	characteristic
143	Q₈	—	554	32	no	—
144	C₂×C₄	—	2	8	no	—
145	C₂×C₄	—	2	8	no	—
146	C₂×C₄	—	2	4	no	—
147	C₂×C₄	—	2	2	no	—
148	C₂×C₄	—	2	2	no	—
149	C₂×C₄	—	2	4	no	—
150	C₂×C₄	—	2	2	no	—
151	C₂×C₄	—	4	4	no	—
152	C₂×C₄	—	277	8	no	—
153	C₂×C₄	—	277	8	no	—
154	C₂×C₄	—	554	16	no	—
155	C₂×C₄	—	554	16	no	—
156	C₂×C₄	—	554	4	no	—
157	C₂×C₄	—	554	4	no	—
158	C₂×C₄	—	554	4	no	—
159	C₂×C₄	—	554	4	no	—
160	C₂×C₄	C₂×C₂²⋊D₂₇₇	1	4	yes	—
161	C₂×C₄	C₂×Dic₅₅₄	1	4	yes	complemented
162	C₂²	#22579848	1	4	yes	—
163	C₂²	#22579858	1	8	yes	—
164	C₂²	#22579859	1	4	yes	—
165	C₂²	#22579878	1	4	yes	—
166	C₂²	#22579879	1	8	yes	—
167	C₂²	C₂×D₄×D₂₇₇	1	2	yes	—
168	C₂²	C₂²×C₂²⋊D₂₇₇	1	1	yes	characteristic
169	C₂²	C₂×Q₈×D₂₇₇	1	2	yes	—
170	C₂²	C₂²×Dic₅₅₄	1	1	yes	characteristic
171	C₂²	C₂×#17984563	1	1	yes	characteristic
172	C₄	—	2	4	no	—
173	C₄	—	2	4	no	—
174	C₄	—	4	2	no	—
175	C₄	—	554	8	no	—
176	C₄	—	554	8	no	—
177	C₂	#31799922	1	8	yes	direct product factor
178	C₂	C₂×#22579848	1	1	yes	characteristic
179	C₂	C₂×#22579858	1	2	yes	—
180	C₂	C₂×#22579859	1	1	yes	characteristic
181	C₂	C₂×#22579878	1	1	yes	characteristic
182	C₂	C₂×#22579879	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂³×Dic₅₅₄

C₂

yes

maximal, characteristic

C₂²×#17984542

C₂

yes

maximal

#31799922

C₂

yes

maximal, direct product factor

C₂×#22579787

C₂

yes

maximal, characteristic

C₂×#22579787

C₂

yes

maximal

C₂²×C₄⋊C₄×C₂₇₇

C₂

yes

maximal, characteristic

C₂²×Dic₅₅₄

—

C₂²×Dic₅₅₄

—

C₂²×Dic₅₅₄

C₂²

yes

—

C₂³×Dic₂₇₇

C₂²

yes

—

C₂³×Dic₂₇₇

C₂²

yes

—

C₂×#17984542

—

C₂×#17984542

C₂²

yes

—

#22579787

C₂²

yes

—

#22579787

C₂²

yes

—

C₂³×C₄×C₂₇₇

C₂²

yes

characteristic

C₂³×C₄×C₂₇₇

C₂²

yes

characteristic

C₂³×C₄×C₂₇₇

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₂₇₇

—

C₂×C₄⋊C₄×C₂₇₇

C₂²

yes

—

C₂×Dic₅₅₄

—

C₂×Dic₅₅₄

—

C₂×Dic₅₅₄

—

C₂²×Dic₂₇₇

—

C₂²×Dic₂₇₇

—

C₂²×Dic₂₇₇

—

C₂²×Dic₂₇₇

—

C₂²×Dic₂₇₇

D₄

yes

—

C₂²×Dic₂₇₇

Q₈

yes

complemented

C₂²×Dic₂₇₇

C₂³

yes

—

C₂²×Dic₂₇₇

C₂³

yes

—

#17984542

—

C₂⁴×C₂₇₇

C₂³

yes

characteristic

C₂²×C₄×C₂₇₇

—

C₂²×C₄×C₂₇₇

—

C₂²×C₄×C₂₇₇

—

C₂²×C₄×C₂₇₇

—

C₂²×C₄×C₂₇₇

—

C₂²×C₄×C₂₇₇

D₄

yes

—

C₂²×C₄×C₂₇₇

Q₈

yes

complemented

C₂²×C₄×C₂₇₇

C₂³

yes

—

C₂²×C₄×C₂₇₇

C₂³

yes

—

C₂²×C₄×C₂₇₇

C₂³

yes

—

C₄⋊C₄×C₂₇₇

—

Dic₅₅₄

—

C₂×Dic₂₇₇

—

C₂×Dic₂₇₇

—

C₂×Dic₂₇₇

—

C₂×Dic₂₇₇

—

C₂×Dic₂₇₇

—

C₂×Dic₂₇₇

—

C₂×Dic₂₇₇

C₂×D₄

yes

—

C₂×Dic₂₇₇

C₂×Q₈

yes

complemented

C₂³×C₂₇₇

C₂×D₄

yes

—

C₂³×C₂₇₇

C₂×D₄

yes

—

C₂³×C₂₇₇

C₂×Q₈

yes

—

C₂³×C₂₇₇

C₂×Q₈

yes

—

C₂³×C₂₇₇

#41

yes

—

C₂³×C₂₇₇

C₂⁴

yes

characteristic

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

—

C₂×C₄×C₂₇₇

C₂×D₄

yes

—

C₂×C₄×C₂₇₇

C₂×Q₈

yes

complemented

C₂²×C₂₇₇

#120

yes

—

C₂²×C₂₇₇

C₂²⋊Q₈

yes

—

C₂²×C₂₇₇

C₂²⋊Q₈

yes

—

C₂²×C₂₇₇

C₄⋊Q₈

yes

—

C₂²×C₂₇₇

C₄⋊Q₈

yes

—

C₂²×C₂₇₇

C₂²×D₄

yes

—

C₂²×C₂₇₇

C₂²×D₄

yes

characteristic

C₂²×C₂₇₇

C₂²×Q₈

yes

—

C₂²×C₂₇₇

C₂²×Q₈

yes

characteristic

C₂²×C₂₇₇

C₂×#41

yes

characteristic

C₄×C₂₇₇

—

C₄×C₂₇₇

—

C₄×C₂₇₇

—

Dic₂₇₇

—

Dic₂₇₇

—

C₂×C₂₇₇

yes

C₂×C₂₇₇

yes

C₂×C₂₇₇

C₂×C₂²⋊Q₈

yes

—

C₂×C₂₇₇

C₂×C₂²⋊Q₈

yes

characteristic

C₂×C₂₇₇

C₂×C₄⋊Q₈

yes

characteristic

C₂×C₂₇₇

C₂×C₄⋊Q₈

yes

—

C₂₇₇

C₂×#395

yes

characteristic, complemented, Sylow

C₂×#395

—

277

maximal, Sylow

C₂³×Q₈

—

277

—

C₂²×C₄⋊C₄

—

277

—

C₂²×C₄⋊C₄

D₂₇₇

yes

characteristic

#395

—

277

—

C₂×#95

—

277

—

C₂×#95

—

277

—

C₂²×Q₈

—

277

—

100

C₂²×Q₈

—

554

—

101

C₂²×Q₈

—

554

—

102

C₂³×C₄

—

277

—

103

C₂³×C₄

—

277

—

104

C₂³×C₄

C₂×D₂₇₇

yes

characteristic

105

C₂³×C₄

C₂×D₂₇₇

yes

characteristic

106

C₂³×C₄

C₂×D₂₇₇

yes

characteristic

107

C₂×C₄⋊C₄

—

108

C₂×C₄⋊C₄

—

277

—

109

C₂×C₄⋊C₄

—

554

—

110

C₂×C₄⋊C₄

C₂×D₂₇₇

yes

—

111

#95

—

277

—

112

#95

—

277

—

113

C₂⁴

C₂²×D₂₇₇

yes

characteristic

114

C₂×Q₈

—

554

—

115

C₂×Q₈

—

554

—

116

C₂×Q₈

—

554

—

117

C₂²×C₄

—

118

C₂²×C₄

—

119

C₂²×C₄

—

120

C₂²×C₄

—

121

C₂²×C₄

—

122

C₂²×C₄

—

277

—

123

C₂²×C₄

—

277

—

124

C₂²×C₄

—

277

—

125

C₂²×C₄

—

277

—

126

C₂²×C₄

—

554

—

127

C₂²×C₄

—

554

—

128

C₂²×C₄

—

554

—

129

C₂²×C₄

—

554

—

130

C₂²×C₄

C₂²⋊D₂₇₇

yes

—

131

C₂²×C₄

Dic₅₅₄

yes

complemented

132

C₂²×C₄

C₂²×D₂₇₇

yes

—

133

C₂²×C₄

C₂²×D₂₇₇

yes

—

134

C₂²×C₄

C₂²×D₂₇₇

yes

—

135

C₄⋊C₄

—

136

C₄⋊C₄

—

554

—

137

C₂³

D₄×D₂₇₇

yes

—

138

C₂³

C₂×C₂²⋊D₂₇₇

yes

—

139

C₂³

Q₈×D₂₇₇

yes

—

140

C₂³

C₂×Dic₅₅₄

yes

—

141

C₂³

#17984563

yes

—

142

C₂³

C₂³×D₂₇₇

yes

characteristic

143

Q₈

—

554

—

144

C₂×C₄

—

145

C₂×C₄

—

146

C₂×C₄

—

147

C₂×C₄

—

148

C₂×C₄

—

149

C₂×C₄

—

150

C₂×C₄

—

151

C₂×C₄

—

152

C₂×C₄

—

277

—

153

C₂×C₄

—

277

—

154

C₂×C₄

—

554

—

155

C₂×C₄

—

554

—

156

C₂×C₄

—

554

—

157

C₂×C₄

—

554

—

158

C₂×C₄

—

554

—

159

C₂×C₄

—

554

—

160

C₂×C₄

C₂×C₂²⋊D₂₇₇

yes

—

161

C₂×C₄

C₂×Dic₅₅₄

yes

complemented

162

C₂²

#22579848

yes

—

163

C₂²

#22579858

yes

—

164

C₂²

#22579859

yes

—

165

C₂²

#22579878

yes

—

166

C₂²

#22579879

yes

—

167

C₂²

C₂×D₄×D₂₇₇

yes

—

168

C₂²

C₂²×C₂²⋊D₂₇₇

yes

characteristic

169

C₂²

C₂×Q₈×D₂₇₇

yes

—

170

C₂²

C₂²×Dic₅₅₄

yes

characteristic

171

C₂²

C₂×#17984563

yes

characteristic

172

C₄

—

173

C₄

—

174

C₄

—

175

C₄

—

554

—

176

C₄

—

554

—

177

C₂

#31799922

yes

direct product factor

178

C₂

C₂×#22579848

yes

characteristic

179

C₂

C₂×#22579858

yes

—

180

C₂

C₂×#22579859

yes

characteristic

181

C₂

C₂×#22579878

yes

characteristic

182

C₂

C₂×#22579879

yes

—

	subgroup	G/H
center	C₂⁴	C₂²×D₂₇₇
commutator, cosocle	C₂³×C₂₇₇	C₂⁴
Frattini	C₂³	C₂³×D₂₇₇
Fitting	C₂²×C₄⋊C₄×C₂₇₇	C₂
socle, prime radical	C₂⁴×C₂₇₇	C₂³
hypercenter	C₂²×C₄⋊C₄	D₂₇₇
hypocenter	C₂₇₇	C₂×#395
LCS	G ▷ C₂³×C₂₇₇ ▷ C₂₇₇
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₄⋊C₄

subgroup

G/H

center

C₂⁴

C₂²×D₂₇₇

commutator, cosocle

C₂³×C₂₇₇

C₂⁴

Frattini

C₂³

C₂³×D₂₇₇

Fitting

C₂²×C₄⋊C₄×C₂₇₇

C₂

socle, prime radical

C₂⁴×C₂₇₇

C₂³

hypercenter

C₂²×C₄⋊C₄

D₂₇₇

C₂₇₇

G ▷ C₂³×C₂₇₇ ▷ C₂₇₇

C₁ ◁ C₂⁴ ◁ C₂²×C₄⋊C₄

N	H ≅ G/N	type
3. #31799922	C₂	direct (N × H)
29. C₂²×Dic₂₇₇	Q₈	semidirect
40. C₂²×C₄×C₂₇₇	Q₈	semidirect
53. C₂×Dic₂₇₇	C₂×Q₈	semidirect
69. C₂×C₄×C₂₇₇	C₂×Q₈	semidirect
85. C₂×C₂₇₇	#395	semidirect
91. C₂₇₇	C₂×#395	semidirect
131. C₂²×C₄	Dic₅₅₄	semidirect
161. C₂×C₄	C₂×Dic₅₅₄	semidirect
177. C₂	#31799922	direct (N × H)

H ≅ G/N

type

3. #31799922

C₂

direct (N × H)

29. C₂²×Dic₂₇₇

Q₈

semidirect

40. C₂²×C₄×C₂₇₇

Q₈

semidirect

53. C₂×Dic₂₇₇

C₂×Q₈

semidirect

69. C₂×C₄×C₂₇₇

C₂×Q₈

semidirect

85. C₂×C₂₇₇

#395

semidirect

91. C₂₇₇

C₂×#395

semidirect

131. C₂²×C₄

Dic₅₅₄

semidirect

161. C₂×C₄

C₂×Dic₅₅₄

semidirect

177. C₂

#31799922

direct (N × H)

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

subgroup	index
C₂³×Dic₅₅₄	2
C₂²×#17984542	2
#31799922	2
C₂×#22579787	2
C₂²×C₄⋊C₄×C₂₇₇	2
C₂×#395	277

subgroup

index

C₂³×Dic₅₅₄

C₂²×C₄⋊C₄×C₂₇₇

277

Subgroups — C₂×#31799922 #47986377

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C2×#31799922 #47986377

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#31799922 #47986377