Group #20245845 — subgroups

Subgroups — C₂×#15689026 #20245845

Order 6016.

1360 conjugacy classes of subgroups; only the 405 normal subgroups are shown.

normal subgroups only

This group has 1360 conjugacy classes of subgroups — too many to draw. Only its 405 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×C₄⋊Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₂²⋊Dic₄₇	C₂	1	4	yes	maximal, complemented
3	C₂²×C₄×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#15689026	C₂	1	8	yes	maximal, direct product factor
5	C₂³×D₄×C₄₇	C₂	1	1	yes	maximal, characteristic
6	C₂³×Dic₄₇	C₂²	1	2	yes	—
7	C₂³×Dic₄₇	C₂²	1	2	yes	—
8	C₂×C₄⋊Dic₄₇	—	2	4	no	—
9	C₂×C₄⋊Dic₄₇	C₂²	1	4	yes	complemented
10	C₂×C₂²⋊Dic₄₇	—	2	16	no	—
11	C₂×C₂²⋊Dic₄₇	C₂²	1	16	yes	complemented
12	C₂×C₄×Dic₄₇	—	2	4	no	—
13	C₂×C₄×Dic₄₇	C₂²	1	4	yes	complemented
14	C₂⁵×C₄₇	C₂²	1	2	yes	—
15	C₂²×D₄×C₄₇	—	2	4	no	—
16	C₂²×D₄×C₄₇	—	2	4	no	—
17	C₂²×D₄×C₄₇	C₄	1	8	yes	complemented
18	C₂²×D₄×C₄₇	C₂²	1	4	yes	—
19	C₂³×C₄×C₄₇	C₂²	1	1	yes	characteristic
20	C₂⁴×C₄₇	—	2	4	no	—
21	C₂⁴×C₄₇	—	2	4	no	—
22	C₂⁴×C₄₇	—	2	8	no	—
23	C₂⁴×C₄₇	—	2	8	no	—
24	C₂⁴×C₄₇	C₂×C₄	1	8	yes	—
25	C₂⁴×C₄₇	C₂³	1	4	yes	—
26	C₂⁴×C₄₇	C₂³	1	1	yes	characteristic
27	C₂×D₄×C₄₇	—	2	32	no	—
28	C₂×D₄×C₄₇	—	2	8	no	—
29	C₂×D₄×C₄₇	—	2	8	no	—
30	C₂×D₄×C₄₇	C₂×C₄	1	16	yes	complemented
31	C₂²×C₄×C₄₇	C₂×C₄	1	4	yes	—
32	C₂²×C₄×C₄₇	D₄	1	4	yes	—
33	C₂²×C₄×C₄₇	D₄	1	4	yes	—
34	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
35	C₂²×Dic₄₇	—	2	4	no	—
36	C₂²×Dic₄₇	—	2	4	no	—
37	C₂²×Dic₄₇	—	2	8	no	—
38	C₂²×Dic₄₇	—	2	4	no	—
39	C₂²×Dic₄₇	D₄	1	8	yes	complemented
40	C₂²×Dic₄₇	C₂³	1	4	yes	—
41	C₂²×Dic₄₇	C₂³	1	4	yes	—
42	C₂²⋊Dic₄₇	—	2	32	no	—
43	C₄⋊Dic₄₇	—	2	8	no	—
44	C₄×Dic₄₇	—	2	8	no	—
45	C₂³×C₄₇	—	2	16	no	—
46	C₂³×C₄₇	—	2	32	no	—
47	C₂³×C₄₇	—	2	8	no	—
48	C₂³×C₄₇	—	2	4	no	—
49	C₂³×C₄₇	—	2	4	no	—
50	C₂³×C₄₇	—	2	8	no	—
51	C₂³×C₄₇	—	4	16	no	—
52	C₂³×C₄₇	—	4	8	no	—
53	C₂³×C₄₇	—	4	8	no	—
54	C₂³×C₄₇	C₂²×C₄	1	8	yes	—
55	C₂³×C₄₇	C₂²×C₄	1	2	yes	—
56	C₂³×C₄₇	C₂×D₄	1	4	yes	—
57	C₂³×C₄₇	C₂×D₄	1	2	yes	—
58	C₂³×C₄₇	C₂×D₄	1	2	yes	—
59	C₂³×C₄₇	#41	1	4	yes	—
60	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
61	D₄×C₄₇	—	2	32	no	—
62	C₂×C₄×C₄₇	C₂²⋊C₄	1	16	yes	complemented
63	C₂×C₄×C₄₇	C₂²×C₄	1	4	yes	—
64	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
65	C₂×C₄×C₄₇	C₂×D₄	1	4	yes	—
66	C₂×Dic₄₇	—	2	16	no	—
67	C₂×Dic₄₇	—	2	4	no	—
68	C₂×Dic₄₇	—	2	4	no	—
69	C₂×Dic₄₇	—	2	4	no	—
70	C₂×Dic₄₇	—	2	8	no	—
71	C₂×Dic₄₇	—	4	8	no	—
72	C₂×Dic₄₇	C₂×D₄	1	8	yes	complemented
73	C₂²×C₄₇	—	2	8	no	—
74	C₂²×C₄₇	—	2	16	no	—
75	C₂²×C₄₇	—	4	8	no	—
76	C₂²×C₄₇	—	4	4	no	—
77	C₂²×C₄₇	—	4	4	no	—
78	C₂²×C₄₇	—	4	32	no	—
79	C₂²×C₄₇	C₂×C₂²⋊C₄	1	4	yes	—
80	C₂²×C₄₇	C₄×D₄	1	8	yes	—
81	C₂²×C₄₇	#121	1	8	yes	—
82	C₂²×C₄₇	#124	1	4	yes	—
83	C₂²×C₄₇	#127	1	4	yes	—
84	C₂²×C₄₇	C₂³×C₄	1	1	yes	characteristic
85	C₂²×C₄₇	C₂²×D₄	1	2	yes	—
86	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
87	C₂²×C₄₇	C₂²×D₄	1	1	yes	characteristic
88	C₂²×C₄₇	C₂×#41	1	2	yes	—
89	C₄×C₄₇	C₂×C₂²⋊C₄	1	8	yes	complemented
90	Dic₄₇	—	2	8	no	—
91	Dic₄₇	—	4	4	no	—
92	C₂×#390	—	47	1	no	maximal, Sylow
93	C₂×C₄₇	—	4	8	no	—
94	C₂×C₄₇	#390	1	8	yes	complemented
95	C₂×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
96	C₂×C₄₇	C₂×C₄×D₄	1	2	yes	—
97	C₂×C₄₇	C₂×#121	1	2	yes	—
98	C₂×C₄₇	C₂×#124	1	1	yes	characteristic
99	C₂×C₄₇	C₂×#127	1	1	yes	characteristic
100	C₂³×D₄	D₄₇	1	1	yes	characteristic
101	C₂²×C₄⋊C₄	—	47	1	no	—
102	C₂²×C₂²⋊C₄	—	47	4	no	—
103	C₂²×C₄²	—	47	1	no	—
104	#390	—	47	8	no	—
105	C₄₇	C₂×#390	1	1	yes	characteristic, complemented, Sylow
106	C₂⁵	C₂×D₄₇	1	2	yes	—
107	C₂²×D₄	—	2	4	no	—
108	C₂²×D₄	—	2	4	no	—
109	C₂²×D₄	Dic₄₇	1	8	yes	complemented
110	C₂²×D₄	C₂×D₄₇	1	4	yes	—
111	C₂³×C₄	—	47	2	no	—
112	C₂³×C₄	—	47	2	no	—
113	C₂³×C₄	C₂×D₄₇	1	1	yes	characteristic
114	C₂×C₄⋊C₄	—	47	4	no	—
115	C₂×C₄⋊C₄	—	94	4	no	—
116	C₂×C₂²⋊C₄	—	47	16	no	—
117	C₂×C₂²⋊C₄	—	94	16	no	—
118	C₂×C₄²	—	47	4	no	—
119	C₂×C₄²	—	94	4	no	—
120	C₂⁴	—	2	8	no	—
121	C₂⁴	—	2	8	no	—
122	C₂⁴	—	2	4	no	—
123	C₂⁴	—	2	4	no	—
124	C₂⁴	C₂×Dic₄₇	1	8	yes	—
125	C₂⁴	C₂²×D₄₇	1	4	yes	—
126	C₂⁴	C₂²×D₄₇	1	1	yes	characteristic
127	C₂×D₄	—	2	32	no	—
128	C₂×D₄	—	2	8	no	—
129	C₂×D₄	—	2	8	no	—
130	C₂×D₄	C₂×Dic₄₇	1	16	yes	complemented
131	C₂²×C₄	—	47	8	no	—
132	C₂²×C₄	—	47	4	no	—
133	C₂²×C₄	—	47	4	no	—
134	C₂²×C₄	—	94	4	no	—
135	C₂²×C₄	—	94	4	no	—
136	C₂²×C₄	—	94	8	no	—
137	C₂²×C₄	—	94	4	no	—
138	C₂²×C₄	C₂×Dic₄₇	1	4	yes	—
139	C₂²×C₄	C₂²⋊D₄₇	1	4	yes	—
140	C₂²×C₄	C₂²⋊D₄₇	1	4	yes	—
141	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
142	C₄⋊C₄	—	94	8	no	—
143	C₂²⋊C₄	—	94	32	no	—
144	C₄²	—	94	8	no	—
145	C₂³	—	2	16	no	—
146	C₂³	—	2	32	no	—
147	C₂³	—	2	8	no	—
148	C₂³	—	2	4	no	—
149	C₂³	—	2	4	no	—
150	C₂³	—	2	8	no	—
151	C₂³	—	4	16	no	—
152	C₂³	—	4	8	no	—
153	C₂³	—	4	8	no	—
154	C₂³	D₄×D₄₇	1	4	yes	—
155	C₂³	#10625352	1	4	yes	—
156	C₂³	C₂²×Dic₄₇	1	8	yes	—
157	C₂³	C₂²×Dic₄₇	1	2	yes	—
158	C₂³	C₂×C₂²⋊D₄₇	1	2	yes	—
159	C₂³	C₂×C₂²⋊D₄₇	1	2	yes	—
160	C₂³	C₂³×D₄₇	1	1	yes	characteristic
161	D₄	—	2	32	no	—
162	C₂×C₄	—	47	8	no	—
163	C₂×C₄	—	94	16	no	—
164	C₂×C₄	—	94	4	no	—
165	C₂×C₄	—	94	4	no	—
166	C₂×C₄	—	94	8	no	—
167	C₂×C₄	—	94	4	no	—
168	C₂×C₄	—	188	8	no	—
169	C₂×C₄	C₂²⋊Dic₄₇	1	16	yes	complemented
170	C₂×C₄	C₂²×Dic₄₇	1	4	yes	—
171	C₂×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
172	C₂×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
173	C₂²	—	2	8	no	—
174	C₂²	—	2	16	no	—
175	C₂²	—	4	32	no	—
176	C₂²	—	4	8	no	—
177	C₂²	—	4	4	no	—
178	C₂²	—	4	4	no	—
179	C₂²	C₂×C₂²⋊Dic₄₇	1	4	yes	—
180	C₂²	D₄×Dic₄₇	1	8	yes	—
181	C₂²	#13093995	1	8	yes	—
182	C₂²	#13094011	1	4	yes	—
183	C₂²	#13094020	1	4	yes	—
184	C₂²	C₂³×Dic₄₇	1	1	yes	characteristic
185	C₂²	C₂×D₄×D₄₇	1	2	yes	—
186	C₂²	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
187	C₂²	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
188	C₂²	C₂×#10625352	1	2	yes	—
189	C₄	—	94	8	no	—
190	C₄	—	188	4	no	—
191	C₄	C₂×C₂²⋊Dic₄₇	1	8	yes	complemented
192	C₂	—	4	8	no	—
193	C₂	#15689026	1	8	yes	direct product factor
194	C₂	C₂²×C₂²⋊Dic₄₇	1	1	yes	characteristic
195	C₂	C₂×D₄×Dic₄₇	1	2	yes	—
196	C₂	C₂×#13093995	1	2	yes	—
197	C₂	C₂×#13094011	1	1	yes	characteristic
198	C₂	C₂×#13094020	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×C₄⋊Dic₄₇

C₂

yes

maximal, characteristic, complemented

C₂²×C₂²⋊Dic₄₇

C₂

yes

maximal, complemented

C₂²×C₄×Dic₄₇

C₂

yes

maximal, characteristic, complemented

#15689026

C₂

yes

maximal, direct product factor

C₂³×D₄×C₄₇

C₂

yes

maximal, characteristic

C₂³×Dic₄₇

C₂²

yes

—

C₂³×Dic₄₇

C₂²

yes

—

C₂×C₄⋊Dic₄₇

—

C₂×C₄⋊Dic₄₇

C₂²

yes

complemented

C₂×C₂²⋊Dic₄₇

—

C₂×C₂²⋊Dic₄₇

C₂²

yes

complemented

C₂×C₄×Dic₄₇

—

C₂×C₄×Dic₄₇

C₂²

yes

complemented

C₂⁵×C₄₇

C₂²

yes

—

C₂²×D₄×C₄₇

—

C₂²×D₄×C₄₇

—

C₂²×D₄×C₄₇

C₄

yes

complemented

C₂²×D₄×C₄₇

C₂²

yes

—

C₂³×C₄×C₄₇

C₂²

yes

characteristic

C₂⁴×C₄₇

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

—

C₂⁴×C₄₇

C₂×C₄

yes

—

C₂⁴×C₄₇

C₂³

yes

—

C₂⁴×C₄₇

C₂³

yes

characteristic

C₂×D₄×C₄₇

—

C₂×D₄×C₄₇

—

C₂×D₄×C₄₇

—

C₂×D₄×C₄₇

C₂×C₄

yes

complemented

C₂²×C₄×C₄₇

C₂×C₄

yes

—

C₂²×C₄×C₄₇

D₄

yes

—

C₂²×C₄×C₄₇

D₄

yes

—

C₂²×C₄×C₄₇

C₂³

yes

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

—

C₂²×Dic₄₇

D₄

yes

complemented

C₂²×Dic₄₇

C₂³

yes

—

C₂²×Dic₄₇

C₂³

yes

—

C₂²⋊Dic₄₇

—

C₄⋊Dic₄₇

—

C₄×Dic₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

—

C₂³×C₄₇

C₂²×C₄

yes

—

C₂³×C₄₇

C₂²×C₄

yes

—

C₂³×C₄₇

C₂×D₄

yes

—

C₂³×C₄₇

C₂×D₄

yes

—

C₂³×C₄₇

C₂×D₄

yes

—

C₂³×C₄₇

#41

yes

—

C₂³×C₄₇

C₂⁴

yes

characteristic

D₄×C₄₇

—

C₂×C₄×C₄₇

C₂²⋊C₄

yes

complemented

C₂×C₄×C₄₇

C₂²×C₄

yes

—

C₂×C₄×C₄₇

C₂×D₄

yes

—

C₂×C₄×C₄₇

C₂×D₄

yes

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

—

C₂×Dic₄₇

C₂×D₄

yes

complemented

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

—

C₂²×C₄₇

C₂×C₂²⋊C₄

yes

—

C₂²×C₄₇

C₄×D₄

yes

—

C₂²×C₄₇

#121

yes

—

C₂²×C₄₇

#124

yes

—

C₂²×C₄₇

#127

yes

—

C₂²×C₄₇

C₂³×C₄

yes

characteristic

C₂²×C₄₇

C₂²×D₄

yes

—

C₂²×C₄₇

C₂²×D₄

yes

characteristic

C₂²×C₄₇

C₂²×D₄

yes

characteristic

C₂²×C₄₇

C₂×#41

yes

—

C₄×C₄₇

C₂×C₂²⋊C₄

yes

complemented

Dic₄₇

—

Dic₄₇

—

C₂×#390

—

maximal, Sylow

C₂×C₄₇

—

C₂×C₄₇

#390

yes

complemented

C₂×C₄₇

C₂²×C₂²⋊C₄

yes

characteristic

C₂×C₄₇

C₂×C₄×D₄

yes

—

C₂×C₄₇

C₂×#121

yes

—

C₂×C₄₇

yes

C₂×C₄₇

yes

100

C₂³×D₄

D₄₇

yes

characteristic

101

C₂²×C₄⋊C₄

—

102

C₂²×C₂²⋊C₄

—

103

C₂²×C₄²

—

104

#390

—

105

C₄₇

C₂×#390

yes

characteristic, complemented, Sylow

106

C₂⁵

C₂×D₄₇

yes

—

107

C₂²×D₄

—

108

C₂²×D₄

—

109

C₂²×D₄

Dic₄₇

yes

complemented

110

C₂²×D₄

C₂×D₄₇

yes

—

111

C₂³×C₄

—

112

C₂³×C₄

—

113

C₂³×C₄

C₂×D₄₇

yes

characteristic

114

C₂×C₄⋊C₄

—

115

C₂×C₄⋊C₄

—

116

C₂×C₂²⋊C₄

—

117

C₂×C₂²⋊C₄

—

118

C₂×C₄²

—

119

C₂×C₄²

—

120

C₂⁴

—

121

C₂⁴

—

122

C₂⁴

—

123

C₂⁴

—

124

C₂⁴

C₂×Dic₄₇

yes

—

125

C₂⁴

C₂²×D₄₇

yes

—

126

C₂⁴

C₂²×D₄₇

yes

characteristic

127

C₂×D₄

—

128

C₂×D₄

—

129

C₂×D₄

—

130

C₂×D₄

C₂×Dic₄₇

yes

complemented

131

C₂²×C₄

—

132

C₂²×C₄

—

133

C₂²×C₄

—

134

C₂²×C₄

—

135

C₂²×C₄

—

136

C₂²×C₄

—

137

C₂²×C₄

—

138

C₂²×C₄

C₂×Dic₄₇

yes

—

139

C₂²×C₄

C₂²⋊D₄₇

yes

—

140

C₂²×C₄

C₂²⋊D₄₇

yes

—

141

C₂²×C₄

C₂²×D₄₇

yes

—

142

C₄⋊C₄

—

143

C₂²⋊C₄

—

144

C₄²

—

145

C₂³

—

146

C₂³

—

147

C₂³

—

148

C₂³

—

149

C₂³

—

150

C₂³

—

151

C₂³

—

152

C₂³

—

153

C₂³

—

154

C₂³

D₄×D₄₇

yes

—

155

C₂³

#10625352

yes

—

156

C₂³

C₂²×Dic₄₇

yes

—

157

C₂³

C₂²×Dic₄₇

yes

—

158

C₂³

C₂×C₂²⋊D₄₇

yes

—

159

C₂³

C₂×C₂²⋊D₄₇

yes

—

160

C₂³

C₂³×D₄₇

yes

characteristic

161

D₄

—

162

C₂×C₄

—

163

C₂×C₄

—

164

C₂×C₄

—

165

C₂×C₄

—

166

C₂×C₄

—

167

C₂×C₄

—

168

C₂×C₄

—

188

—

169

C₂×C₄

C₂²⋊Dic₄₇

yes

complemented

170

C₂×C₄

C₂²×Dic₄₇

yes

—

171

C₂×C₄

C₂×C₂²⋊D₄₇

yes

—

172

C₂×C₄

C₂×C₂²⋊D₄₇

yes

—

173

C₂²

—

174

C₂²

—

175

C₂²

—

176

C₂²

—

177

C₂²

—

178

C₂²

—

179

C₂²

C₂×C₂²⋊Dic₄₇

yes

—

180

C₂²

D₄×Dic₄₇

yes

—

181

C₂²

#13093995

yes

—

182

C₂²

#13094011

yes

—

183

C₂²

#13094020

yes

—

184

C₂²

C₂³×Dic₄₇

yes

characteristic

185

C₂²

C₂×D₄×D₄₇

yes

—

186

C₂²

C₂²×C₂²⋊D₄₇

yes

characteristic

187

C₂²

C₂²×C₂²⋊D₄₇

yes

characteristic

188

C₂²

C₂×#10625352

yes

—

189

C₄

—

190

C₄

—

188

—

191

C₄

C₂×C₂²⋊Dic₄₇

yes

complemented

192

C₂

—

193

C₂

#15689026

yes

direct product factor

194

C₂

C₂²×C₂²⋊Dic₄₇

yes

characteristic

195

C₂

C₂×D₄×Dic₄₇

yes

—

196

C₂

C₂×#13093995

yes

—

197

C₂

C₂×#13094011

yes

characteristic

198

C₂

C₂×#13094020

yes

characteristic

	subgroup	G/H
center	C₂⁴	C₂²×D₄₇
commutator	C₂²×C₄₇	C₂³×C₄
Frattini	C₂³	C₂³×D₄₇
Fitting	C₂³×D₄×C₄₇	C₂
socle	C₂⁴×C₄₇	C₂³
hypercenter	C₂³×D₄	D₄₇
hypocenter	C₄₇	C₂×#390
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂⁴ ◁ C₂³×D₄

subgroup

G/H

center

C₂⁴

C₂²×D₄₇

commutator

C₂²×C₄₇

C₂³×C₄

Frattini

C₂³

C₂³×D₄₇

Fitting

C₂³×D₄×C₄₇

C₂

socle

C₂⁴×C₄₇

C₂³

hypercenter

C₂³×D₄

D₄₇

C₄₇

G ▷ C₂²×C₄₇ ▷ C₄₇

C₁ ◁ C₂⁴ ◁ C₂³×D₄

N	H ≅ G/N	type
1. C₂²×C₄⋊Dic₄₇	C₂	semidirect
2. C₂²×C₂²⋊Dic₄₇	C₂	semidirect
3. C₂²×C₄×Dic₄₇	C₂	semidirect
4. #15689026	C₂	direct (N × H)
9. C₂×C₄⋊Dic₄₇	C₂²	semidirect
11. C₂×C₂²⋊Dic₄₇	C₂²	semidirect
13. C₂×C₄×Dic₄₇	C₂²	semidirect
17. C₂²×D₄×C₄₇	C₄	semidirect
30. C₂×D₄×C₄₇	C₂×C₄	semidirect
39. C₂²×Dic₄₇	D₄	semidirect
62. C₂×C₄×C₄₇	C₂²⋊C₄	semidirect
72. C₂×Dic₄₇	C₂×D₄	semidirect
89. C₄×C₄₇	C₂×C₂²⋊C₄	semidirect
94. C₂×C₄₇	#390	semidirect
105. C₄₇	C₂×#390	semidirect
109. C₂²×D₄	Dic₄₇	semidirect
130. C₂×D₄	C₂×Dic₄₇	semidirect
169. C₂×C₄	C₂²⋊Dic₄₇	semidirect
191. C₄	C₂×C₂²⋊Dic₄₇	semidirect
193. C₂	#15689026	direct (N × H)

H ≅ G/N

type

1. C₂²×C₄⋊Dic₄₇

C₂

semidirect

2. C₂²×C₂²⋊Dic₄₇

C₂

semidirect

3. C₂²×C₄×Dic₄₇

C₂

semidirect

4. #15689026

C₂

direct (N × H)

9. C₂×C₄⋊Dic₄₇

C₂²

semidirect

11. C₂×C₂²⋊Dic₄₇

C₂²

semidirect

13. C₂×C₄×Dic₄₇

C₂²

semidirect

17. C₂²×D₄×C₄₇

C₄

semidirect

30. C₂×D₄×C₄₇

C₂×C₄

semidirect

39. C₂²×Dic₄₇

D₄

semidirect

62. C₂×C₄×C₄₇

C₂²⋊C₄

semidirect

72. C₂×Dic₄₇

C₂×D₄

semidirect

89. C₄×C₄₇

C₂×C₂²⋊C₄

semidirect

94. C₂×C₄₇

#390

semidirect

105. C₄₇

C₂×#390

semidirect

109. C₂²×D₄

Dic₄₇

semidirect

130. C₂×D₄

C₂×Dic₄₇

semidirect

169. C₂×C₄

C₂²⋊Dic₄₇

semidirect

191. C₄

C₂×C₂²⋊Dic₄₇

semidirect

193. C₂

#15689026

direct (N × H)

Subgroups — C₂×#15689026 #20245845

Conjugacy classes of subgroups

Complements

Subgroups — C2×#15689026 #20245845

Conjugacy classes of subgroups

Complements

Subgroups — C₂×#15689026 #20245845