Group #20245985 — subgroups

Subgroups — #20245985

Order 6016.

672 conjugacy classes of subgroups; only the 189 normal subgroups are shown.

normal subgroups only

This group has 672 conjugacy classes of subgroups — too many to draw. Only its 189 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	C₂²×(C₂×D₄₇)⋊C₄	C₂	1	1	yes	maximal, characteristic
2	#15689015	C₂	1	4	yes	maximal, complemented
3	#15689013	C₂	1	4	yes	maximal, complemented
4	#15688983	C₂	1	1	yes	maximal, characteristic, complemented
5	#15688978	C₂	1	2	yes	maximal
6	C₂²⋊C₄×Dic₄₇	C₂	1	2	yes	maximal, complemented
7	C₄₇×#380	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂⁴×D₄₇	C₂²	1	1	yes	characteristic
9	C₂³×Dic₄₇	C₂²	1	1	yes	characteristic
10	C₂×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
11	C₂×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
12	C₂×(C₂×D₄₇)⋊C₄	C₄	1	8	yes	complemented
13	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	4	yes	—
14	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	4	yes	—
15	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
16	C₂×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
17	C₂×C₄×Dic₄₇	C₂²	1	4	yes	complemented
18	C₄₇⋊#95	C₂²	1	4	yes	complemented
19	C₄₇⋊#95	C₂²	1	2	yes	complemented
20	C₂³×C₄×C₄₇	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊C₄×C₄₇	C₂²	1	2	yes	complemented
22	C₂×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	—
23	#95×C₄₇	C₂²	1	2	yes	complemented
24	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
25	C₂³×D₄₇	—	2	2	no	—
26	C₂³×D₄₇	—	2	2	no	—
27	C₂³×D₄₇	—	4	2	no	—
28	C₂³×D₄₇	—	4	2	no	—
29	C₂³×D₄₇	C₂×C₄	1	4	yes	—
30	C₂³×D₄₇	C₂³	1	2	yes	—
31	C₂²×C₄×C₄₇	—	4	2	no	—
32	C₂²×C₄×C₄₇	C₂×C₄	1	4	yes	—
33	C₂²×C₄×C₄₇	C₂³	1	4	yes	—
34	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
35	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
36	C₂²×Dic₄₇	—	4	2	no	—
37	C₂²×Dic₄₇	C₂×C₄	1	4	yes	—
38	C₂²×Dic₄₇	C₂³	1	4	yes	—
39	C₂²×Dic₄₇	C₂³	1	2	yes	—
40	C₄⋊C₄×C₄₇	—	4	2	no	—
41	C₂²⋊C₄×C₄₇	—	2	4	no	—
42	C₂²⋊Dic₄₇	—	2	4	no	—
43	(C₂×D₄₇)⋊C₄	—	4	4	no	—
44	(C₂×D₄₇)⋊C₄	—	4	4	no	—
45	(C₂×D₄₇)⋊C₄	C₂×C₄	1	8	yes	—
46	(C₂×D₄₇)⋊C₄	C₂×C₄	1	8	yes	—
47	C₄⋊Dic₄₇	—	4	2	no	—
48	C₄×Dic₄₇	—	4	4	no	—
49	C₂³×C₄₇	—	2	2	no	—
50	C₂³×C₄₇	—	2	2	no	—
51	C₂³×C₄₇	C₂²×C₄	1	2	yes	—
52	C₂³×C₄₇	#41	1	2	yes	—
53	C₂³×C₄₇	#41	1	2	yes	—
54	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
55	C₂²×D₄₇	—	2	8	no	—
56	C₂²×D₄₇	—	2	2	no	—
57	C₂²×D₄₇	—	2	2	no	—
58	C₂²×D₄₇	—	2	4	no	—
59	C₂²×D₄₇	—	2	4	no	—
60	C₂²×D₄₇	—	4	4	no	—
61	C₂²×D₄₇	—	4	4	no	—
62	C₂²×D₄₇	—	4	8	no	—
63	C₂²×D₄₇	—	4	8	no	—
64	C₂²×D₄₇	C₂²×C₄	1	4	yes	—
65	C₂×C₄×C₄₇	—	2	2	no	—
66	C₂×C₄×C₄₇	—	2	2	no	—
67	C₂×C₄×C₄₇	—	2	4	no	—
68	C₂×C₄×C₄₇	—	2	4	no	—
69	C₂×C₄×C₄₇	—	2	4	no	—
70	C₂×C₄×C₄₇	—	4	4	no	—
71	C₂×C₄×C₄₇	C₂²×C₄	1	2	yes	—
72	C₂×C₄×C₄₇	C₂²×C₄	1	2	yes	—
73	C₂×Dic₄₇	—	2	4	no	—
74	C₂×Dic₄₇	—	2	4	no	—
75	C₂×Dic₄₇	—	2	4	no	—
76	C₂×Dic₄₇	—	2	4	no	—
77	C₂×Dic₄₇	—	4	4	no	—
78	C₂×Dic₄₇	C₂²×C₄	1	4	yes	—
79	C₂²×C₄₇	—	2	2	no	—
80	C₂²×C₄₇	—	2	2	no	—
81	C₂²×C₄₇	—	2	4	no	—
82	C₂²×C₄₇	—	2	4	no	—
83	C₂²×C₄₇	#117	1	4	yes	—
84	C₂²×C₄₇	C₂³×C₄	1	1	yes	characteristic
85	C₂²×C₄₇	C₂×#41	1	1	yes	characteristic
86	C₂²×C₄₇	C₂×#41	1	1	yes	characteristic
87	C₂²×C₄₇	H(5,𝔽₂)	1	2	yes	—
88	C₂²×C₄₇	H(5,𝔽₂)	1	2	yes	—
89	C₂×D₄₇	—	2	4	no	—
90	C₂×D₄₇	—	2	4	no	—
91	C₂×D₄₇	—	2	4	no	—
92	C₂×D₄₇	—	4	16	no	—
93	C₂×D₄₇	—	4	4	no	—
94	C₂×D₄₇	—	4	4	no	—
95	C₄×C₄₇	—	2	2	no	—
96	C₄×C₄₇	—	2	2	no	—
97	C₄×C₄₇	—	4	4	no	—
98	Dic₄₇	—	2	4	no	—
99	Dic₄₇	—	4	4	no	—
100	#2312	—	47	1	no	maximal, Sylow
101	C₂×C₄₇	—	2	4	no	—
102	C₂×C₄₇	C₂×#117	1	1	yes	characteristic
103	C₂×C₄₇	#518	1	1	yes	characteristic
104	C₂×C₄₇	#518	1	1	yes	characteristic
105	C₂×C₄₇	#538	1	2	yes	—
106	C₂×C₄₇	#538	1	2	yes	—
107	D₄₇	—	4	4	no	—
108	C₂²×C₂²⋊C₄	—	47	1	no	—
109	#388	—	47	4	no	—
110	#388	—	47	4	no	—
111	#380	—	47	1	no	—
112	#380	D₄₇	1	1	yes	characteristic, complemented
113	#379	—	47	2	no	—
114	C₄×C₂²⋊C₄	—	47	2	no	—
115	C₄₇	#2312	1	1	yes	characteristic, complemented, Sylow
116	C₂⁵	—	47	1	no	—
117	C₂³×C₄	—	47	1	no	—
118	C₂³×C₄	C₂×D₄₇	1	1	yes	characteristic
119	C₂×C₄⋊C₄	—	47	2	no	—
120	C₂×C₄⋊C₄	C₂×D₄₇	1	2	yes	complemented
121	C₂×C₂²⋊C₄	—	47	8	no	—
122	C₂×C₂²⋊C₄	—	47	2	no	—
123	C₂×C₂²⋊C₄	—	47	2	no	—
124	C₂×C₂²⋊C₄	—	47	2	no	—
125	C₂×C₂²⋊C₄	—	47	4	no	—
126	C₂×C₂²⋊C₄	—	47	4	no	—
127	C₂×C₂²⋊C₄	C₂×D₄₇	1	2	yes	—
128	C₂×C₄²	—	47	4	no	—
129	#95	—	47	4	no	—
130	#95	—	47	2	no	—
131	#95	C₂×D₄₇	1	2	yes	complemented
132	C₂⁴	—	47	2	no	—
133	C₂⁴	—	47	4	no	—
134	C₂⁴	—	94	2	no	—
135	C₂⁴	—	94	2	no	—
136	C₂⁴	—	188	2	no	—
137	C₂⁴	—	188	2	no	—
138	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
139	C₂²×C₄	—	4	2	no	—
140	C₂²×C₄	—	47	2	no	—
141	C₂²×C₄	—	47	4	no	—
142	C₂²×C₄	—	47	4	no	—
143	C₂²×C₄	—	188	2	no	—
144	C₂²×C₄	C₄×D₄₇	1	4	yes	—
145	C₂²×C₄	C₂²×D₄₇	1	4	yes	—
146	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
147	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
148	C₄⋊C₄	—	4	2	no	—
149	C₄⋊C₄	—	188	2	no	—
150	C₂²⋊C₄	—	2	4	no	—
151	C₂²⋊C₄	—	47	8	no	—
152	C₂²⋊C₄	—	47	8	no	—
153	C₂²⋊C₄	—	94	4	no	—
154	C₂²⋊C₄	—	188	4	no	—
155	C₂²⋊C₄	—	188	4	no	—
156	C₄²	—	188	4	no	—
157	C₂³	—	2	2	no	—
158	C₂³	—	2	2	no	—
159	C₂³	—	47	4	no	—
160	C₂³	—	94	8	no	—
161	C₂³	—	94	2	no	—
162	C₂³	—	94	2	no	—
163	C₂³	—	94	4	no	—
164	C₂³	—	94	4	no	—
165	C₂³	—	188	4	no	—
166	C₂³	—	188	4	no	—
167	C₂³	—	188	8	no	—
168	C₂³	—	188	8	no	—
169	C₂³	C₂×C₄×D₄₇	1	2	yes	—
170	C₂³	#10625352	1	2	yes	—
171	C₂³	#10625354	1	2	yes	—
172	C₂³	C₂³×D₄₇	1	1	yes	characteristic
173	C₂×C₄	—	2	2	no	—
174	C₂×C₄	—	2	2	no	—
175	C₂×C₄	—	2	4	no	—
176	C₂×C₄	—	2	4	no	—
177	C₂×C₄	—	2	4	no	—
178	C₂×C₄	—	4	4	no	—
179	C₂×C₄	—	47	4	no	—
180	C₂×C₄	—	94	4	no	—
181	C₂×C₄	—	94	4	no	—
182	C₂×C₄	—	94	4	no	—
183	C₂×C₄	—	94	4	no	—
184	C₂×C₄	—	188	4	no	—
185	C₂×C₄	C₂×C₄×D₄₇	1	2	yes	—
186	C₂×C₄	C₂×C₄×D₄₇	1	2	yes	—
187	C₂²	—	2	2	no	—
188	C₂²	—	2	2	no	—
189	C₂²	—	2	4	no	—
190	C₂²	—	2	4	no	—
191	C₂²	—	94	4	no	—
192	C₂²	—	94	4	no	—
193	C₂²	—	94	4	no	—
194	C₂²	—	188	16	no	—
195	C₂²	—	188	4	no	—
196	C₂²	—	188	4	no	—
197	C₂²	#13093982	1	4	yes	—
198	C₂²	C₂²×C₄×D₄₇	1	1	yes	characteristic
199	C₂²	C₂×#10625352	1	1	yes	characteristic
200	C₂²	C₂×#10625354	1	1	yes	characteristic
201	C₂²	#13094069	1	2	yes	—
202	C₂²	#13094070	1	2	yes	—
203	C₄	—	2	2	no	—
204	C₄	—	2	2	no	—
205	C₄	—	4	4	no	—
206	C₄	—	94	4	no	—
207	C₄	—	188	4	no	—
208	C₂	—	2	4	no	—
209	C₂	—	188	4	no	—
210	C₂	C₂×#13093982	1	1	yes	characteristic
211	C₂	#15689596	1	1	yes	characteristic
212	C₂	#15689597	1	1	yes	characteristic
213	C₂	#15689710	1	2	yes	—
214	C₂	#15689713	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×(C₂×D₄₇)⋊C₄

C₂

yes

maximal, characteristic

#15689015

C₂

yes

maximal, complemented

#15689013

C₂

yes

maximal, complemented

#15688983

C₂

yes

maximal, characteristic, complemented

#15688978

C₂

yes

maximal

C₂²⋊C₄×Dic₄₇

C₂

yes

maximal, complemented

C₄₇×#380

C₂

yes

maximal, characteristic, complemented

C₂⁴×D₄₇

C₂²

yes

characteristic

C₂³×Dic₄₇

C₂²

yes

characteristic

C₂×C₄⋊Dic₄₇

C₂²

yes

complemented

C₂×C₂²⋊Dic₄₇

C₂²

yes

—

C₂×(C₂×D₄₇)⋊C₄

C₄

yes

complemented

C₂×(C₂×D₄₇)⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₇)⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₇)⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₇)⋊C₄

C₂²

yes

—

C₂×C₄×Dic₄₇

C₂²

yes

complemented

C₄₇⋊#95

C₂²

yes

complemented

C₄₇⋊#95

C₂²

yes

complemented

C₂³×C₄×C₄₇

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₄₇

C₂²

yes

complemented

C₂×C₂²⋊C₄×C₄₇

C₂²

yes

—

#95×C₄₇

C₂²

yes

complemented

C₂⁴×C₄₇

C₂³

yes

characteristic

C₂³×D₄₇

—

C₂³×D₄₇

—

C₂³×D₄₇

—

C₂³×D₄₇

—

C₂³×D₄₇

C₂×C₄

yes

—

C₂³×D₄₇

C₂³

yes

—

C₂²×C₄×C₄₇

—

C₂²×C₄×C₄₇

C₂×C₄

yes

—

C₂²×C₄×C₄₇

C₂³

yes

—

C₂²×C₄×C₄₇

C₂³

yes

characteristic

C₂²×C₄×C₄₇

C₂³

yes

characteristic

C₂²×Dic₄₇

—

C₂²×Dic₄₇

C₂×C₄

yes

—

C₂²×Dic₄₇

C₂³

yes

—

C₂²×Dic₄₇

C₂³

yes

—

C₄⋊C₄×C₄₇

—

C₂²⋊C₄×C₄₇

—

C₂²⋊Dic₄₇

—

(C₂×D₄₇)⋊C₄

—

(C₂×D₄₇)⋊C₄

—

(C₂×D₄₇)⋊C₄

C₂×C₄

yes

—

(C₂×D₄₇)⋊C₄

C₂×C₄

yes

—

C₄⋊Dic₄₇

—

C₄×Dic₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

C₂²×C₄

yes

—

C₂³×C₄₇

#41

yes

—

C₂³×C₄₇

#41

yes

—

C₂³×C₄₇

C₂⁴

yes

characteristic

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

—

C₂²×D₄₇

C₂²×C₄

yes

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

—

C₂×C₄×C₄₇

C₂²×C₄

yes

—

C₂×C₄×C₄₇

C₂²×C₄

yes

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

C₂²×C₄

yes

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

#117

yes

—

C₂²×C₄₇

C₂³×C₄

yes

characteristic

C₂²×C₄₇

C₂×#41

yes

characteristic

C₂²×C₄₇

C₂×#41

yes

characteristic

C₂²×C₄₇

H(5,𝔽₂)

yes

—

C₂²×C₄₇

H(5,𝔽₂)

yes

—

C₂×D₄₇

—

C₂×D₄₇

—

C₂×D₄₇

—

C₂×D₄₇

—

C₂×D₄₇

—

C₂×D₄₇

—

C₄×C₄₇

—

C₄×C₄₇

—

C₄×C₄₇

—

Dic₄₇

—

Dic₄₇

—

100

#2312

—

maximal, Sylow

101

C₂×C₄₇

—

102

C₂×C₄₇

C₂×#117

yes

characteristic

103

C₂×C₄₇

#518

yes

characteristic

104

C₂×C₄₇

#518

yes

characteristic

105

C₂×C₄₇

#538

yes

—

106

C₂×C₄₇

#538

yes

—

107

D₄₇

—

108

C₂²×C₂²⋊C₄

—

109

#388

—

110

#388

—

111

#380

—

112

#380

D₄₇

yes

characteristic, complemented

113

#379

—

114

C₄×C₂²⋊C₄

—

115

C₄₇

#2312

yes

characteristic, complemented, Sylow

116

C₂⁵

—

117

C₂³×C₄

—

118

C₂³×C₄

C₂×D₄₇

yes

characteristic

119

C₂×C₄⋊C₄

—

120

C₂×C₄⋊C₄

C₂×D₄₇

yes

complemented

121

C₂×C₂²⋊C₄

—

122

C₂×C₂²⋊C₄

—

123

C₂×C₂²⋊C₄

—

124

C₂×C₂²⋊C₄

—

125

C₂×C₂²⋊C₄

—

126

C₂×C₂²⋊C₄

—

127

C₂×C₂²⋊C₄

C₂×D₄₇

yes

—

128

C₂×C₄²

—

129

#95

—

130

#95

—

131

#95

C₂×D₄₇

yes

complemented

132

C₂⁴

—

133

C₂⁴

—

134

C₂⁴

—

135

C₂⁴

—

136

C₂⁴

—

188

—

137

C₂⁴

—

188

—

138

C₂⁴

C₂²×D₄₇

yes

characteristic

139

C₂²×C₄

—

140

C₂²×C₄

—

141

C₂²×C₄

—

142

C₂²×C₄

—

143

C₂²×C₄

—

188

—

144

C₂²×C₄

C₄×D₄₇

yes

—

145

C₂²×C₄

C₂²×D₄₇

yes

—

146

C₂²×C₄

C₂²×D₄₇

yes

characteristic

147

C₂²×C₄

C₂²×D₄₇

yes

characteristic

148

C₄⋊C₄

—

149

C₄⋊C₄

—

188

—

150

C₂²⋊C₄

—

151

C₂²⋊C₄

—

152

C₂²⋊C₄

—

153

C₂²⋊C₄

—

154

C₂²⋊C₄

—

188

—

155

C₂²⋊C₄

—

188

—

156

C₄²

—

188

—

157

C₂³

—

158

C₂³

—

159

C₂³

—

160

C₂³

—

161

C₂³

—

162

C₂³

—

163

C₂³

—

164

C₂³

—

165

C₂³

—

188

—

166

C₂³

—

188

—

167

C₂³

—

188

—

168

C₂³

—

188

—

169

C₂³

C₂×C₄×D₄₇

yes

—

170

C₂³

#10625352

yes

—

171

C₂³

#10625354

yes

—

172

C₂³

C₂³×D₄₇

yes

characteristic

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

—

183

C₂×C₄

—

184

C₂×C₄

—

188

—

185

C₂×C₄

C₂×C₄×D₄₇

yes

—

186

C₂×C₄

C₂×C₄×D₄₇

yes

—

187

C₂²

—

188

C₂²

—

189

C₂²

—

190

C₂²

—

191

C₂²

—

192

C₂²

—

193

C₂²

—

194

C₂²

—

188

—

195

C₂²

—

188

—

196

C₂²

—

188

—

197

C₂²

#13093982

yes

—

198

C₂²

C₂²×C₄×D₄₇

yes

characteristic

199

C₂²

C₂×#10625352

yes

characteristic

200

C₂²

C₂×#10625354

yes

characteristic

201

C₂²

#13094069

yes

—

202

C₂²

#13094070

yes

—

203

C₄

—

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

188

—

208

C₂

—

209

C₂

—

188

—

210

C₂

C₂×#13093982

yes

characteristic

211

C₂

#15689596

yes

characteristic

212

C₂

#15689597

yes

characteristic

213

C₂

#15689710

yes

—

214

C₂

#15689713

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₄₇
commutator	C₂²×C₄₇	C₂³×C₄
Fitting	C₄₇×#380	C₂
socle	C₂³×C₄₇	C₂⁴
hypercenter	#380	D₄₇
hypocenter	C₄₇	#2312
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #380

subgroup

G/H

center, Frattini

C₂³

C₂³×D₄₇

commutator

C₂²×C₄₇

C₂³×C₄

Fitting

C₄₇×#380

C₂

socle

C₂³×C₄₇

C₂⁴

D₄₇

C₄₇

G ▷ C₂²×C₄₇ ▷ C₄₇

C₁ ◁ C₂³ ◁ #380

N	H ≅ G/N	type
2. #15689015	C₂	semidirect
3. #15689013	C₂	semidirect
4. #15688983	C₂	semidirect
6. C₂²⋊C₄×Dic₄₇	C₂	semidirect
7. C₄₇×#380	C₂	semidirect
10. C₂×C₄⋊Dic₄₇	C₂²	semidirect
12. C₂×(C₂×D₄₇)⋊C₄	C₄	semidirect
17. C₂×C₄×Dic₄₇	C₂²	semidirect
18. C₄₇⋊#95	C₂²	semidirect
19. C₄₇⋊#95	C₂²	semidirect
21. C₂×C₄⋊C₄×C₄₇	C₂²	semidirect
23. #95×C₄₇	C₂²	semidirect
112. #380	D₄₇	semidirect
115. C₄₇	#2312	semidirect
120. C₂×C₄⋊C₄	C₂×D₄₇	semidirect
131. #95	C₂×D₄₇	semidirect

H ≅ G/N

type

2. #15689015

C₂

semidirect

3. #15689013

C₂

semidirect

4. #15688983

C₂

semidirect

6. C₂²⋊C₄×Dic₄₇

C₂

semidirect

7. C₄₇×#380

C₂

semidirect

10. C₂×C₄⋊Dic₄₇

C₂²

semidirect

12. C₂×(C₂×D₄₇)⋊C₄

C₄

semidirect

17. C₂×C₄×Dic₄₇

C₂²

semidirect

18. C₄₇⋊#95

C₂²

semidirect

19. C₄₇⋊#95

C₂²

semidirect

21. C₂×C₄⋊C₄×C₄₇

C₂²

semidirect

23. #95×C₄₇

C₂²

semidirect

112. #380

D₄₇

semidirect

115. C₄₇

#2312

semidirect

120. C₂×C₄⋊C₄

C₂×D₄₇

semidirect

131. #95

C₂×D₄₇

semidirect

Subgroups — #20245985

Conjugacy classes of subgroups

Complements