Group #20246588 — subgroups

Subgroups — C₂×#15689035 #20246588

Order 6016.

1036 conjugacy classes of subgroups; only the 261 normal subgroups are shown.

normal subgroups only

This group has 1036 conjugacy classes of subgroups — too many to draw. Only its 261 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×Dic₉₄	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₂²⋊Dic₄₇	C₂	1	2	yes	maximal
3	#15689035	C₂	1	8	yes	maximal, direct product factor
4	C₂×C₄₇⋊#95	C₂	1	2	yes	maximal, complemented
5	C₂×C₄₇⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×C₂²⋊C₄×C₄₇	C₂	1	1	yes	maximal, characteristic
7	C₂²×Dic₉₄	—	2	4	no	—
8	C₂²×Dic₉₄	—	2	8	no	—
9	C₂²×Dic₉₄	C₂²	1	4	yes	complemented
10	C₂³×Dic₄₇	C₂²	1	2	yes	—
11	C₂³×Dic₄₇	C₂²	1	2	yes	—
12	C₂×C₂²⋊Dic₄₇	—	2	8	no	—
13	C₂×C₂²⋊Dic₄₇	C₂²	1	8	yes	—
14	C₄₇⋊#95	C₂²	1	4	yes	complemented
15	C₄₇⋊#95	C₂²	1	8	yes	complemented
16	C₂⁵×C₄₇	C₂²	1	1	yes	characteristic
17	C₂³×C₄×C₄₇	C₂²	1	1	yes	characteristic
18	C₂³×C₄×C₄₇	C₂²	1	1	yes	characteristic
19	C₂×C₂²⋊C₄×C₄₇	—	2	4	no	—
20	C₂×C₂²⋊C₄×C₄₇	C₂²	1	4	yes	—
21	C₂⁴×C₄₇	—	2	2	no	—
22	C₂⁴×C₄₇	—	2	4	no	—
23	C₂⁴×C₄₇	—	2	2	no	—
24	C₂⁴×C₄₇	—	2	4	no	—
25	C₂⁴×C₄₇	Q₈	1	4	yes	complemented
26	C₂⁴×C₄₇	C₂³	1	2	yes	—
27	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
28	C₂²×C₄×C₄₇	—	2	4	no	—
29	C₂²×C₄×C₄₇	—	2	2	no	—
30	C₂²×C₄×C₄₇	—	2	4	no	—
31	C₂²×C₄×C₄₇	D₄	1	4	yes	—
32	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
33	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
34	C₂²×Dic₄₇	—	2	4	no	—
35	C₂²×Dic₄₇	—	2	4	no	—
36	C₂²×Dic₄₇	—	2	4	no	—
37	C₂²×Dic₄₇	—	2	4	no	—
38	C₂²×Dic₄₇	—	2	4	no	—
39	C₂²×Dic₄₇	D₄	1	8	yes	—
40	C₂²×Dic₄₇	C₂³	1	4	yes	—
41	C₂²×Dic₄₇	C₂³	1	4	yes	—
42	C₂×Dic₉₄	—	2	32	no	—
43	C₂×Dic₉₄	—	2	8	no	—
44	C₂×Dic₉₄	—	2	16	no	—
45	C₂²⋊C₄×C₄₇	—	2	8	no	—
46	C₂²⋊Dic₄₇	—	2	16	no	—
47	C₂³×C₄₇	—	2	16	no	—
48	C₂³×C₄₇	—	2	8	no	—
49	C₂³×C₄₇	—	2	4	no	—
50	C₂³×C₄₇	—	2	2	no	—
51	C₂³×C₄₇	—	2	4	no	—
52	C₂³×C₄₇	—	2	2	no	—
53	C₂³×C₄₇	—	4	4	no	—
54	C₂³×C₄₇	—	4	8	no	—
55	C₂³×C₄₇	—	4	4	no	—
56	C₂³×C₄₇	C₂×D₄	1	4	yes	—
57	C₂³×C₄₇	C₂×D₄	1	2	yes	—
58	C₂³×C₄₇	C₂×Q₈	1	2	yes	—
59	C₂³×C₄₇	C₂×Q₈	1	4	yes	complemented
60	C₂³×C₄₇	#41	1	2	yes	—
61	C₂³×C₄₇	#41	1	4	yes	—
62	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
63	C₂×C₄×C₄₇	—	2	8	no	—
64	C₂×C₄×C₄₇	—	2	4	no	—
65	C₂×C₄×C₄₇	—	2	2	no	—
66	C₂×C₄×C₄₇	—	2	4	no	—
67	C₂×C₄×C₄₇	—	4	4	no	—
68	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
69	C₂×Dic₄₇	—	2	16	no	—
70	C₂×Dic₄₇	—	2	4	no	—
71	C₂×Dic₄₇	—	2	4	no	—
72	C₂×Dic₄₇	—	2	4	no	—
73	C₂×Dic₄₇	—	2	4	no	—
74	C₂×Dic₄₇	—	2	4	no	—
75	C₂×Dic₄₇	—	4	8	no	—
76	C₂×Dic₄₇	C₂×D₄	1	8	yes	—
77	Dic₉₄	—	2	32	no	—
78	C₂²×C₄₇	—	2	8	no	—
79	C₂²×C₄₇	—	2	4	no	—
80	C₂²×C₄₇	—	4	2	no	—
81	C₂²×C₄₇	—	4	4	no	—
82	C₂²×C₄₇	—	4	2	no	—
83	C₂²×C₄₇	—	4	16	no	—
84	C₂²×C₄₇	#120	1	4	yes	—
85	C₂²×C₄₇	C₂²⋊Q₈	1	8	yes	—
86	C₂²×C₄₇	C₂²⋊Q₈	1	4	yes	—
87	C₂²×C₄₇	#124	1	8	yes	—
88	C₂²×C₄₇	#124	1	4	yes	—
89	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
90	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
91	C₂²×C₄₇	C₂²×Q₈	1	1	yes	characteristic
92	C₂²×C₄₇	C₂×#41	1	2	yes	—
93	C₂²×C₄₇	C₂×#41	1	1	yes	characteristic
94	C₄×C₄₇	—	2	4	no	—
95	C₄×C₄₇	—	4	2	no	—
96	Dic₄₇	—	2	8	no	—
97	Dic₄₇	—	4	4	no	—
98	C₂×#393	—	47	1	no	maximal, Sylow
99	C₂×C₄₇	—	4	4	no	—
100	C₂×C₄₇	#393	1	8	yes	complemented
101	C₂×C₄₇	C₂×#120	1	1	yes	characteristic
102	C₂×C₄₇	C₂×C₂²⋊Q₈	1	2	yes	—
103	C₂×C₄₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
104	C₂×C₄₇	C₂×#124	1	2	yes	—
105	C₂×C₄₇	C₂×#124	1	1	yes	characteristic
106	C₂³×Q₈	—	47	1	no	—
107	C₂²×C₂²⋊C₄	—	47	2	no	—
108	C₂²×C₂²⋊C₄	D₄₇	1	1	yes	characteristic
109	#393	—	47	8	no	—
110	C₂×#95	—	47	2	no	—
111	C₂×#95	—	47	1	no	—
112	C₄₇	C₂×#393	1	1	yes	characteristic, complemented, Sylow
113	C₂⁵	C₂×D₄₇	1	1	yes	characteristic
114	C₂²×Q₈	—	47	4	no	—
115	C₂²×Q₈	—	94	8	no	—
116	C₂²×Q₈	—	94	4	no	—
117	C₂³×C₄	—	47	2	no	—
118	C₂³×C₄	—	47	2	no	—
119	C₂³×C₄	C₂×D₄₇	1	1	yes	characteristic
120	C₂³×C₄	C₂×D₄₇	1	1	yes	characteristic
121	C₂×C₂²⋊C₄	—	2	4	no	—
122	C₂×C₂²⋊C₄	—	47	8	no	—
123	C₂×C₂²⋊C₄	—	94	8	no	—
124	C₂×C₂²⋊C₄	C₂×D₄₇	1	4	yes	—
125	#95	—	47	8	no	—
126	#95	—	47	4	no	—
127	C₂⁴	—	2	2	no	—
128	C₂⁴	—	2	4	no	—
129	C₂⁴	—	2	4	no	—
130	C₂⁴	—	2	2	no	—
131	C₂⁴	Dic₉₄	1	4	yes	complemented
132	C₂⁴	C₂²×D₄₇	1	2	yes	—
133	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
134	C₂×Q₈	—	94	16	no	—
135	C₂×Q₈	—	94	32	no	—
136	C₂×Q₈	—	94	8	no	—
137	C₂²×C₄	—	2	4	no	—
138	C₂²×C₄	—	2	4	no	—
139	C₂²×C₄	—	2	2	no	—
140	C₂²×C₄	—	47	8	no	—
141	C₂²×C₄	—	47	4	no	—
142	C₂²×C₄	—	47	4	no	—
143	C₂²×C₄	—	94	4	no	—
144	C₂²×C₄	—	94	4	no	—
145	C₂²×C₄	—	94	4	no	—
146	C₂²×C₄	—	94	4	no	—
147	C₂²×C₄	—	94	4	no	—
148	C₂²×C₄	C₂²⋊D₄₇	1	4	yes	—
149	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
150	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
151	C₂²⋊C₄	—	2	8	no	—
152	C₂²⋊C₄	—	94	16	no	—
153	C₂³	—	2	16	no	—
154	C₂³	—	2	8	no	—
155	C₂³	—	2	4	no	—
156	C₂³	—	2	2	no	—
157	C₂³	—	2	4	no	—
158	C₂³	—	2	2	no	—
159	C₂³	—	4	4	no	—
160	C₂³	—	4	8	no	—
161	C₂³	—	4	4	no	—
162	C₂³	C₂×Dic₉₄	1	2	yes	—
163	C₂³	C₂×Dic₉₄	1	4	yes	complemented
164	C₂³	#10625350	1	2	yes	—
165	C₂³	D₄×D₄₇	1	4	yes	—
166	C₂³	#10625352	1	4	yes	—
167	C₂³	C₂×C₂²⋊D₄₇	1	2	yes	—
168	C₂³	C₂³×D₄₇	1	1	yes	characteristic
169	Q₈	—	94	32	no	—
170	C₂×C₄	—	2	8	no	—
171	C₂×C₄	—	2	4	no	—
172	C₂×C₄	—	2	2	no	—
173	C₂×C₄	—	2	4	no	—
174	C₂×C₄	—	4	4	no	—
175	C₂×C₄	—	47	8	no	—
176	C₂×C₄	—	94	16	no	—
177	C₂×C₄	—	94	4	no	—
178	C₂×C₄	—	94	4	no	—
179	C₂×C₄	—	94	4	no	—
180	C₂×C₄	—	94	4	no	—
181	C₂×C₄	—	94	4	no	—
182	C₂×C₄	—	188	8	no	—
183	C₂×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
184	C₂²	—	2	8	no	—
185	C₂²	—	2	4	no	—
186	C₂²	—	4	16	no	—
187	C₂²	—	4	2	no	—
188	C₂²	—	4	4	no	—
189	C₂²	—	4	2	no	—
190	C₂²	#13093992	1	4	yes	—
191	C₂²	#13094001	1	8	yes	—
192	C₂²	#13094003	1	4	yes	—
193	C₂²	#13094010	1	8	yes	—
194	C₂²	#13094011	1	4	yes	—
195	C₂²	C₂×D₄×D₄₇	1	2	yes	—
196	C₂²	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
197	C₂²	C₂²×Dic₉₄	1	1	yes	characteristic
198	C₂²	C₂×#10625352	1	2	yes	—
199	C₂²	C₂×#10625350	1	1	yes	characteristic
200	C₄	—	2	4	no	—
201	C₄	—	4	2	no	—
202	C₄	—	94	8	no	—
203	C₄	—	188	4	no	—
204	C₂	—	4	4	no	—
205	C₂	#15689035	1	8	yes	direct product factor
206	C₂	C₂×#13093992	1	1	yes	characteristic
207	C₂	C₂×#13094001	1	2	yes	—
208	C₂	C₂×#13094003	1	1	yes	characteristic
209	C₂	C₂×#13094010	1	2	yes	—
210	C₂	C₂×#13094011	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂³×Dic₉₄

C₂

yes

maximal, characteristic, complemented

C₂²×C₂²⋊Dic₄₇

C₂

yes

maximal

#15689035

C₂

yes

maximal, direct product factor

C₂×C₄₇⋊#95

C₂

yes

maximal, complemented

C₂×C₄₇⋊#95

C₂

yes

maximal, characteristic, complemented

C₂²×C₂²⋊C₄×C₄₇

C₂

yes

maximal, characteristic

C₂²×Dic₉₄

—

C₂²×Dic₉₄

—

C₂²×Dic₉₄

C₂²

yes

complemented

C₂³×Dic₄₇

C₂²

yes

—

C₂³×Dic₄₇

C₂²

yes

—

C₂×C₂²⋊Dic₄₇

—

C₂×C₂²⋊Dic₄₇

C₂²

yes

—

C₄₇⋊#95

C₂²

yes

complemented

C₄₇⋊#95

C₂²

yes

complemented

C₂⁵×C₄₇

C₂²

yes

characteristic

C₂³×C₄×C₄₇

C₂²

yes

characteristic

C₂³×C₄×C₄₇

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₄₇

—

C₂×C₂²⋊C₄×C₄₇

C₂²

yes

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

Q₈

yes

complemented

C₂⁴×C₄₇

C₂³

yes

—

C₂⁴×C₄₇

C₂³

yes

characteristic

C₂²×C₄×C₄₇

—

C₂²×C₄×C₄₇

—

C₂²×C₄×C₄₇

—

C₂²×C₄×C₄₇

D₄

yes

—

C₂²×C₄×C₄₇

C₂³

yes

—

C₂²×C₄×C₄₇

C₂³

yes

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

D₄

yes

—

C₂²×Dic₄₇

C₂³

yes

—

C₂²×Dic₄₇

C₂³

yes

—

C₂×Dic₉₄

—

C₂×Dic₉₄

—

C₂×Dic₉₄

—

C₂²⋊C₄×C₄₇

—

C₂²⋊Dic₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

C₂×D₄

yes

—

C₂³×C₄₇

C₂×D₄

yes

—

C₂³×C₄₇

C₂×Q₈

yes

—

C₂³×C₄₇

C₂×Q₈

yes

complemented

C₂³×C₄₇

#41

yes

—

C₂³×C₄₇

#41

yes

—

C₂³×C₄₇

C₂⁴

yes

characteristic

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

C₂×D₄

yes

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

C₂×D₄

yes

—

Dic₉₄

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

#120

yes

—

C₂²×C₄₇

C₂²⋊Q₈

yes

—

C₂²×C₄₇

C₂²⋊Q₈

yes

—

C₂²×C₄₇

#124

yes

—

C₂²×C₄₇

#124

yes

—

C₂²×C₄₇

C₂²×D₄

yes

—

C₂²×C₄₇

C₂²×D₄

yes

characteristic

C₂²×C₄₇

C₂²×Q₈

yes

characteristic

C₂²×C₄₇

C₂×#41

yes

—

C₂²×C₄₇

C₂×#41

yes

characteristic

C₄×C₄₇

—

C₄×C₄₇

—

Dic₄₇

—

Dic₄₇

—

C₂×#393

—

maximal, Sylow

C₂×C₄₇

—

100

C₂×C₄₇

#393

yes

complemented

101

C₂×C₄₇

C₂×#120

yes

characteristic

102

C₂×C₄₇

C₂×C₂²⋊Q₈

yes

—

103

C₂×C₄₇

C₂×C₂²⋊Q₈

yes

characteristic

104

C₂×C₄₇

C₂×#124

yes

—

105

C₂×C₄₇

C₂×#124

yes

characteristic

106

C₂³×Q₈

—

107

C₂²×C₂²⋊C₄

—

108

C₂²×C₂²⋊C₄

D₄₇

yes

characteristic

109

#393

—

110

C₂×#95

—

111

C₂×#95

—

112

C₄₇

C₂×#393

yes

characteristic, complemented, Sylow

113

C₂⁵

C₂×D₄₇

yes

characteristic

114

C₂²×Q₈

—

115

C₂²×Q₈

—

116

C₂²×Q₈

—

117

C₂³×C₄

—

118

C₂³×C₄

—

119

C₂³×C₄

C₂×D₄₇

yes

characteristic

120

C₂³×C₄

C₂×D₄₇

yes

characteristic

121

C₂×C₂²⋊C₄

—

122

C₂×C₂²⋊C₄

—

123

C₂×C₂²⋊C₄

—

124

C₂×C₂²⋊C₄

C₂×D₄₇

yes

—

125

#95

—

126

#95

—

127

C₂⁴

—

128

C₂⁴

—

129

C₂⁴

—

130

C₂⁴

—

131

C₂⁴

Dic₉₄

yes

complemented

132

C₂⁴

C₂²×D₄₇

yes

—

133

C₂⁴

C₂²×D₄₇

yes

characteristic

134

C₂×Q₈

—

135

C₂×Q₈

—

136

C₂×Q₈

—

137

C₂²×C₄

—

138

C₂²×C₄

—

139

C₂²×C₄

—

140

C₂²×C₄

—

141

C₂²×C₄

—

142

C₂²×C₄

—

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

—

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

C₂²⋊D₄₇

yes

—

149

C₂²×C₄

C₂²×D₄₇

yes

—

150

C₂²×C₄

C₂²×D₄₇

yes

—

151

C₂²⋊C₄

—

152

C₂²⋊C₄

—

153

C₂³

—

154

C₂³

—

155

C₂³

—

156

C₂³

—

157

C₂³

—

158

C₂³

—

159

C₂³

—

160

C₂³

—

161

C₂³

—

162

C₂³

C₂×Dic₉₄

yes

—

163

C₂³

C₂×Dic₉₄

yes

complemented

164

C₂³

#10625350

yes

—

165

C₂³

D₄×D₄₇

yes

—

166

C₂³

#10625352

yes

—

167

C₂³

C₂×C₂²⋊D₄₇

yes

—

168

C₂³

C₂³×D₄₇

yes

characteristic

169

Q₈

—

170

C₂×C₄

—

171

C₂×C₄

—

172

C₂×C₄

—

173

C₂×C₄

—

174

C₂×C₄

—

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

188

—

183

C₂×C₄

C₂×C₂²⋊D₄₇

yes

—

184

C₂²

—

185

C₂²

—

186

C₂²

—

187

C₂²

—

188

C₂²

—

189

C₂²

—

190

C₂²

#13093992

yes

—

191

C₂²

#13094001

yes

—

192

C₂²

#13094003

yes

—

193

C₂²

#13094010

yes

—

194

C₂²

#13094011

yes

—

195

C₂²

C₂×D₄×D₄₇

yes

—

196

C₂²

C₂²×C₂²⋊D₄₇

yes

characteristic

197

C₂²

C₂²×Dic₉₄

yes

characteristic

198

C₂²

C₂×#10625352

yes

—

199

C₂²

C₂×#10625350

yes

characteristic

200

C₄

—

201

C₄

—

202

C₄

—

203

C₄

—

188

—

204

C₂

—

205

C₂

#15689035

yes

direct product factor

206

C₂

C₂×#13093992

yes

characteristic

207

C₂

C₂×#13094001

yes

—

208

C₂

C₂×#13094003

yes

characteristic

209

C₂

C₂×#13094010

yes

—

210

C₂

C₂×#13094011

yes

characteristic

	subgroup	G/H
center	C₂⁴	C₂²×D₄₇
commutator	C₂³×C₄₇	C₂⁴
Frattini	C₂³	C₂³×D₄₇
Fitting	C₂²×C₂²⋊C₄×C₄₇	C₂
socle	C₂⁴×C₄₇	C₂³
hypercenter	C₂²×C₂²⋊C₄	D₄₇
hypocenter	C₄₇	C₂×#393
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂⁴ ◁ C₂²×C₂²⋊C₄

subgroup

G/H

center

C₂⁴

C₂²×D₄₇

commutator

C₂³×C₄₇

C₂⁴

Frattini

C₂³

C₂³×D₄₇

Fitting

C₂²×C₂²⋊C₄×C₄₇

C₂

socle

C₂⁴×C₄₇

C₂³

hypercenter

C₂²×C₂²⋊C₄

D₄₇

C₄₇

G ▷ C₂³×C₄₇ ▷ C₄₇

C₁ ◁ C₂⁴ ◁ C₂²×C₂²⋊C₄

N	H ≅ G/N	type
1. C₂³×Dic₉₄	C₂	semidirect
3. #15689035	C₂	direct (N × H)
4. C₂×C₄₇⋊#95	C₂	semidirect
5. C₂×C₄₇⋊#95	C₂	semidirect
9. C₂²×Dic₉₄	C₂²	semidirect
14. C₄₇⋊#95	C₂²	semidirect
15. C₄₇⋊#95	C₂²	semidirect
25. C₂⁴×C₄₇	Q₈	semidirect
59. C₂³×C₄₇	C₂×Q₈	semidirect
100. C₂×C₄₇	#393	semidirect
112. C₄₇	C₂×#393	semidirect
131. C₂⁴	Dic₉₄	semidirect
163. C₂³	C₂×Dic₉₄	semidirect
205. C₂	#15689035	direct (N × H)

H ≅ G/N

type

1. C₂³×Dic₉₄

C₂

semidirect

3. #15689035

C₂

direct (N × H)

4. C₂×C₄₇⋊#95

C₂

semidirect

5. C₂×C₄₇⋊#95

C₂

semidirect

9. C₂²×Dic₉₄

C₂²

semidirect

14. C₄₇⋊#95

C₂²

semidirect

15. C₄₇⋊#95

C₂²

semidirect

25. C₂⁴×C₄₇

Q₈

semidirect

59. C₂³×C₄₇

C₂×Q₈

semidirect

100. C₂×C₄₇

#393

semidirect

112. C₄₇

C₂×#393

semidirect

131. C₂⁴

Dic₉₄

semidirect

163. C₂³

C₂×Dic₉₄

semidirect

205. C₂

#15689035

direct (N × H)

Subgroups — C₂×#15689035 #20246588

Conjugacy classes of subgroups

Complements

Subgroups — C2×#15689035 #20246588

Conjugacy classes of subgroups

Complements

Subgroups — C₂×#15689035 #20246588