Group #31816174 — subgroups

Subgroups — C₂×#22581247 #31816174

Order 17792.

416 conjugacy classes of subgroups; only the 157 normal subgroups are shown.

normal subgroups only

This group has 416 conjugacy classes of subgroups — too many to draw. Only its 157 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×#17984841	C₂	1	1	yes	maximal, characteristic
2	C₂×#17984807	C₂	1	1	yes	maximal, characteristic
3	#22581247	C₂	1	8	yes	maximal, direct product factor
4	C₂×#17984775	C₂	1	1	yes	maximal, characteristic
5	C₂×Dic₁₃₉⋊C₈	C₂	1	1	yes	maximal, characteristic
6	C₂×#17984767	C₂	1	1	yes	maximal, characteristic
7	C₂×#17984765	C₂	1	1	yes	maximal, characteristic
8	C₂×#107×C₁₃₉	C₂	1	1	yes	maximal, characteristic
9	C₂²×Dic₂₇₈	—	2	1	no	—
10	C₂²×Dic₂₇₈	C₂²	1	1	yes	characteristic
11	C₂²×C₁₃₉⋊C₈	C₂²	1	1	yes	characteristic
12	#17984841	—	2	2	no	—
13	#17984841	C₂²	1	4	yes	—
14	#17984807	—	2	2	no	—
15	#17984807	C₂²	1	4	yes	—
16	C₂×C₄⋊Dic₁₃₉	C₂²	1	1	yes	characteristic
17	C₂×Dic₁₃₉⋊C₄	—	2	1	no	—
18	C₂×Dic₁₃₉⋊C₄	—	2	1	no	—
19	C₂×C₄×Dic₁₃₉	—	2	1	no	—
20	C₂×C₄×Dic₁₃₉	C₂²	1	1	yes	characteristic
21	#17984775	C₂²	1	4	yes	—
22	Dic₁₃₉⋊C₈	C₂²	1	4	yes	—
23	#17984767	C₂²	1	4	yes	—
24	#17984765	C₂²	1	4	yes	—
25	C₂²×C₈×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
28	#107×C₁₃₉	C₂²	1	4	yes	—
29	C₂×Dic₂₇₈	—	2	4	no	—
30	C₂×Dic₂₇₈	—	2	1	no	—
31	C₂×Dic₂₇₈	—	2	2	no	—
32	C₂×Dic₂₇₈	—	4	4	no	—
33	C₂×Dic₂₇₈	Q₈	1	4	yes	complemented
34	C₂×Dic₂₇₈	C₂³	1	2	yes	—
35	C₂²×Dic₁₃₉	—	2	1	no	—
36	C₂²×Dic₁₃₉	—	2	1	no	—
37	C₂²×Dic₁₃₉	D₄	1	1	yes	characteristic
38	C₂²×Dic₁₃₉	D₄	1	1	yes	characteristic
39	C₂×C₁₃₉⋊C₈	—	2	2	no	—
40	C₂×C₁₃₉⋊C₈	C₂³	1	2	yes	—
41	C₄⋊Dic₁₃₉	—	2	1	no	—
42	C₄⋊Dic₁₃₉	C₂³	1	2	yes	—
43	Dic₁₃₉⋊C₄	—	2	4	no	—
44	Dic₁₃₉⋊C₄	—	2	4	no	—
45	C₄×Dic₁₃₉	—	2	4	no	—
46	C₄×Dic₁₃₉	D₄	1	2	yes	—
47	C₄×Dic₁₃₉	C₂³	1	2	yes	—
48	C₂²×C₄×C₁₃₉	—	2	1	no	—
49	C₂²×C₄×C₁₃₉	—	2	1	no	—
50	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
51	C₂×C₈×C₁₃₉	—	2	2	no	—
52	C₂×C₈×C₁₃₉	C₂³	1	2	yes	—
53	C₄⋊C₄×C₁₃₉	—	2	1	no	—
54	C₄⋊C₄×C₁₃₉	—	2	1	no	—
55	C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
56	C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
57	Dic₂₇₈	—	2	4	no	—
58	Dic₂₇₈	—	2	2	no	—
59	Dic₂₇₈	—	4	8	no	—
60	Dic₂₇₈	C₂×Q₈	1	4	yes	complemented
61	C₂×Dic₁₃₉	—	2	4	no	—
62	C₂×Dic₁₃₉	—	2	2	no	—
63	C₂×Dic₁₃₉	—	2	2	no	—
64	C₂×Dic₁₃₉	—	2	2	no	—
65	C₂×Dic₁₃₉	—	4	2	no	—
66	C₂×Dic₁₃₉	Q₁₆	1	4	yes	—
67	C₂×Dic₁₃₉	C₂×D₄	1	2	yes	—
68	C₂×Dic₁₃₉	C₂×D₄	1	2	yes	—
69	C₁₃₉⋊C₈	—	2	2	no	—
70	C₂³×C₁₃₉	C₂×D₄	1	1	yes	characteristic
71	C₂×C₄×C₁₃₉	—	2	2	no	—
72	C₂×C₄×C₁₃₉	—	2	2	no	—
73	C₂×C₄×C₁₃₉	—	4	2	no	—
74	C₂×C₄×C₁₃₉	—	4	2	no	—
75	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄×C₁₃₉	C₂×Q₈	1	2	yes	—
77	C₂×C₄×C₁₃₉	#41	1	2	yes	—
78	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
79	C₈×C₁₃₉	—	2	2	no	—
80	C₂²×C₁₃₉	C₂²⋊Q₈	1	2	yes	—
81	C₂²×C₁₃₉	C₂×Q₁₆	1	2	yes	—
82	C₂²×C₁₃₉	AGL(1,ℤ/8)	1	2	yes	—
83	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
84	C₄×C₁₃₉	—	4	2	no	—
85	C₄×C₁₃₉	—	4	2	no	—
86	C₄×C₁₃₉	C₂²⋊Q₈	1	2	yes	—
87	C₄×C₁₃₉	C₂²×Q₈	1	1	yes	characteristic
88	C₄×C₁₃₉	C₂×#41	1	1	yes	characteristic
89	Dic₁₃₉	—	2	4	no	—
90	Dic₁₃₉	—	2	2	no	—
91	Dic₁₃₉	—	4	2	no	—
92	Dic₁₃₉	C₂×Q₁₆	1	4	yes	—
93	C₂×C₁₃₉	#477	1	4	yes	complemented
94	C₂×C₁₃₉	C₂×C₂²⋊Q₈	1	1	yes	characteristic
95	C₂×C₁₃₉	C₂²×Q₁₆	1	1	yes	characteristic
96	C₂×C₁₃₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
97	C₁₃₉	C₂×#477	1	1	yes	characteristic, complemented, Sylow
98	C₂×#477	—	139	1	no	maximal, Sylow
99	C₂×C₄⋊Q₈	—	139	1	no	—
100	C₂×C₄×Q₈	—	139	1	no	—
101	#477	—	139	8	no	—
102	C₂×#107	—	139	1	no	—
103	C₂×#107	D₁₃₉	1	1	yes	characteristic
104	C₂×C₄⋊C₈	—	139	1	no	—
105	C₂×#103	—	139	1	no	—
106	C₂×#103	—	139	1	no	—
107	C₂²×Q₈	—	278	1	no	—
108	C₂²×Q₈	—	139	1	no	—
109	C₂²×C₈	—	139	1	no	—
110	C₂²×C₈	C₂×D₁₃₉	1	1	yes	characteristic
111	C₄⋊Q₈	—	278	2	no	—
112	C₄⋊Q₈	—	139	4	no	—
113	C₄×Q₈	—	278	2	no	—
114	C₄×Q₈	—	139	4	no	—
115	C₂×C₄⋊C₄	—	278	1	no	—
116	C₂×C₄⋊C₄	—	278	1	no	—
117	C₂×C₄⋊C₄	—	139	1	no	—
118	C₂×C₄⋊C₄	C₂×D₁₃₉	1	1	yes	characteristic
119	C₂×C₄⋊C₄	C₂×D₁₃₉	1	1	yes	characteristic
120	C₂×C₄²	—	278	1	no	—
121	C₂×C₄²	—	139	1	no	—
122	#107	—	139	4	no	—
123	#107	C₂×D₁₃₉	1	4	yes	—
124	C₄⋊C₈	—	139	4	no	—
125	#103	—	139	4	no	—
126	#103	—	139	4	no	—
127	C₂×Q₈	—	278	4	no	—
128	C₂×Q₈	—	278	1	no	—
129	C₂×Q₈	—	278	2	no	—
130	C₂×Q₈	—	556	4	no	—
131	C₂×Q₈	—	139	4	no	—
132	C₂×Q₈	—	139	2	no	—
133	C₂²×C₄	—	2	1	no	—
134	C₂²×C₄	—	2	1	no	—
135	C₂²×C₄	—	278	1	no	—
136	C₂²×C₄	—	278	1	no	—
137	C₂²×C₄	—	139	1	no	—
138	C₂²×C₄	—	139	1	no	—
139	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
140	C₂×C₈	—	2	2	no	—
141	C₂×C₈	—	278	2	no	—
142	C₂×C₈	—	139	2	no	—
143	C₂×C₈	C₂²×D₁₃₉	1	2	yes	—
144	C₄⋊C₄	—	2	1	no	—
145	C₄⋊C₄	—	2	1	no	—
146	C₄⋊C₄	—	278	4	no	—
147	C₄⋊C₄	—	278	4	no	—
148	C₄⋊C₄	—	278	1	no	—
149	C₄⋊C₄	—	139	2	no	—
150	C₄⋊C₄	C₂²×D₁₃₉	1	2	yes	—
151	C₄⋊C₄	C₂²×D₁₃₉	1	2	yes	—
152	C₄²	—	278	4	no	—
153	C₄²	—	139	2	no	—
154	C₄²	—	139	2	no	—
155	C₂³	D₄×D₁₃₉	1	1	yes	characteristic
156	Q₈	—	278	4	no	—
157	Q₈	—	278	2	no	—
158	Q₈	—	556	8	no	—
159	Q₈	—	139	4	no	—
160	C₂×C₄	—	2	2	no	—
161	C₂×C₄	—	2	2	no	—
162	C₂×C₄	—	4	2	no	—
163	C₂×C₄	—	4	2	no	—
164	C₂×C₄	—	278	4	no	—
165	C₂×C₄	—	278	2	no	—
166	C₂×C₄	—	278	2	no	—
167	C₂×C₄	—	278	2	no	—
168	C₂×C₄	—	556	2	no	—
169	C₂×C₄	—	139	2	no	—
170	C₂×C₄	—	139	4	no	—
171	C₂×C₄	—	139	2	no	—
172	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
173	C₂×C₄	Q₈×D₁₃₉	1	2	yes	—
174	C₂×C₄	#14555785	1	2	yes	—
175	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
176	C₈	—	2	2	no	—
177	C₈	—	278	2	no	—
178	C₂²	#17984820	1	2	yes	—
179	C₂²	Q₁₆×D₁₃₉	1	2	yes	—
180	C₂²	#17984866	1	2	yes	—
181	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
182	C₄	—	4	2	no	—
183	C₄	—	4	2	no	—
184	C₄	—	278	4	no	—
185	C₄	—	278	2	no	—
186	C₄	—	556	2	no	—
187	C₄	—	139	4	no	—
188	C₄	#17984820	1	2	yes	—
189	C₄	C₂×Q₈×D₁₃₉	1	1	yes	characteristic
190	C₄	C₂×#14555785	1	1	yes	characteristic
191	C₂	#22581247	1	4	yes	direct product factor
192	C₂	C₂×#17984820	1	1	yes	characteristic
193	C₂	C₂×Q₁₆×D₁₃₉	1	1	yes	characteristic
194	C₂	C₂×#17984866	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#17984841

C₂

yes

maximal, characteristic

C₂×#17984807

C₂

yes

maximal, characteristic

#22581247

C₂

yes

maximal, direct product factor

C₂×#17984775

C₂

yes

maximal, characteristic

C₂×Dic₁₃₉⋊C₈

C₂

yes

maximal, characteristic

C₂×#17984767

C₂

yes

maximal, characteristic

C₂×#17984765

C₂

yes

maximal, characteristic

C₂×#107×C₁₃₉

C₂

yes

maximal, characteristic

C₂²×Dic₂₇₈

—

C₂²×Dic₂₇₈

C₂²

yes

characteristic

C₂²×C₁₃₉⋊C₈

C₂²

yes

characteristic

#17984841

—

#17984841

C₂²

yes

—

#17984807

—

#17984807

C₂²

yes

—

C₂×C₄⋊Dic₁₃₉

C₂²

yes

characteristic

C₂×Dic₁₃₉⋊C₄

—

C₂×Dic₁₃₉⋊C₄

—

C₂×C₄×Dic₁₃₉

—

C₂×C₄×Dic₁₃₉

C₂²

yes

characteristic

#17984775

C₂²

yes

—

Dic₁₃₉⋊C₈

C₂²

yes

—

#17984767

C₂²

yes

—

#17984765

C₂²

yes

—

C₂²×C₈×C₁₃₉

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₁₃₉

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₁₃₉

C₂²

yes

characteristic

#107×C₁₃₉

C₂²

yes

—

C₂×Dic₂₇₈

—

C₂×Dic₂₇₈

—

C₂×Dic₂₇₈

—

C₂×Dic₂₇₈

—

C₂×Dic₂₇₈

Q₈

yes

complemented

C₂×Dic₂₇₈

C₂³

yes

—

C₂²×Dic₁₃₉

—

C₂²×Dic₁₃₉

—

C₂²×Dic₁₃₉

D₄

yes

characteristic

C₂²×Dic₁₃₉

D₄

yes

characteristic

C₂×C₁₃₉⋊C₈

—

C₂×C₁₃₉⋊C₈

C₂³

yes

—

C₄⋊Dic₁₃₉

—

C₄⋊Dic₁₃₉

C₂³

yes

—

Dic₁₃₉⋊C₄

—

Dic₁₃₉⋊C₄

—

C₄×Dic₁₃₉

—

C₄×Dic₁₃₉

D₄

yes

—

C₄×Dic₁₃₉

C₂³

yes

—

C₂²×C₄×C₁₃₉

—

C₂²×C₄×C₁₃₉

—

C₂²×C₄×C₁₃₉

C₂³

yes

characteristic

C₂×C₈×C₁₃₉

—

C₂×C₈×C₁₃₉

C₂³

yes

—

C₄⋊C₄×C₁₃₉

—

C₄⋊C₄×C₁₃₉

—

C₄⋊C₄×C₁₃₉

C₂³

yes

—

C₄⋊C₄×C₁₃₉

C₂³

yes

—

Dic₂₇₈

—

Dic₂₇₈

—

Dic₂₇₈

—

Dic₂₇₈

C₂×Q₈

yes

complemented

C₂×Dic₁₃₉

—

C₂×Dic₁₃₉

—

C₂×Dic₁₃₉

—

C₂×Dic₁₃₉

—

C₂×Dic₁₃₉

—

C₂×Dic₁₃₉

Q₁₆

yes

—

C₂×Dic₁₃₉

C₂×D₄

yes

—

C₂×Dic₁₃₉

C₂×D₄

yes

—

C₁₃₉⋊C₈

—

C₂³×C₁₃₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₃₉

—

C₂×C₄×C₁₃₉

—

C₂×C₄×C₁₃₉

—

C₂×C₄×C₁₃₉

—

C₂×C₄×C₁₃₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₃₉

C₂×Q₈

yes

—

C₂×C₄×C₁₃₉

#41

yes

—

C₂×C₄×C₁₃₉

C₂⁴

yes

characteristic

C₈×C₁₃₉

—

C₂²×C₁₃₉

C₂²⋊Q₈

yes

—

C₂²×C₁₃₉

C₂×Q₁₆

yes

—

C₂²×C₁₃₉

AGL(1,ℤ/8)

yes

—

C₂²×C₁₃₉

C₂²×D₄

yes

characteristic

C₄×C₁₃₉

—

C₄×C₁₃₉

—

C₄×C₁₃₉

C₂²⋊Q₈

yes

—

C₄×C₁₃₉

C₂²×Q₈

yes

characteristic

C₄×C₁₃₉

C₂×#41

yes

characteristic

Dic₁₃₉

—

Dic₁₃₉

—

Dic₁₃₉

—

Dic₁₃₉

C₂×Q₁₆

yes

—

C₂×C₁₃₉

#477

yes

complemented

C₂×C₁₃₉

C₂×C₂²⋊Q₈

yes

characteristic

C₂×C₁₃₉

C₂²×Q₁₆

yes

C₂×C₁₃₉

yes

C₁₃₉

yes

characteristic, complemented, Sylow

C₂×#477

—

139

maximal, Sylow

C₂×C₄⋊Q₈

—

139

—

100

C₂×C₄×Q₈

—

139

—

101

#477

—

139

—

102

C₂×#107

—

139

—

103

C₂×#107

D₁₃₉

yes

characteristic

104

C₂×C₄⋊C₈

—

139

—

105

C₂×#103

—

139

—

106

C₂×#103

—

139

—

107

C₂²×Q₈

—

278

—

108

C₂²×Q₈

—

139

—

109

C₂²×C₈

—

139

—

110

C₂²×C₈

C₂×D₁₃₉

yes

characteristic

111

C₄⋊Q₈

—

278

—

112

C₄⋊Q₈

—

139

—

113

C₄×Q₈

—

278

—

114

C₄×Q₈

—

139

—

115

C₂×C₄⋊C₄

—

278

—

116

C₂×C₄⋊C₄

—

278

—

117

C₂×C₄⋊C₄

—

139

—

118

C₂×C₄⋊C₄

C₂×D₁₃₉

yes

characteristic

119

C₂×C₄⋊C₄

C₂×D₁₃₉

yes

characteristic

120

C₂×C₄²

—

278

—

121

C₂×C₄²

—

139

—

122

#107

—

139

—

123

#107

C₂×D₁₃₉

yes

—

124

C₄⋊C₈

—

139

—

125

#103

—

139

—

126

#103

—

139

—

127

C₂×Q₈

—

278

—

128

C₂×Q₈

—

278

—

129

C₂×Q₈

—

278

—

130

C₂×Q₈

—

556

—

131

C₂×Q₈

—

139

—

132

C₂×Q₈

—

139

—

133

C₂²×C₄

—

134

C₂²×C₄

—

135

C₂²×C₄

—

278

—

136

C₂²×C₄

—

278

—

137

C₂²×C₄

—

139

—

138

C₂²×C₄

—

139

—

139

C₂²×C₄

C₂²×D₁₃₉

yes

characteristic

140

C₂×C₈

—

141

C₂×C₈

—

278

—

142

C₂×C₈

—

139

—

143

C₂×C₈

C₂²×D₁₃₉

yes

—

144

C₄⋊C₄

—

145

C₄⋊C₄

—

146

C₄⋊C₄

—

278

—

147

C₄⋊C₄

—

278

—

148

C₄⋊C₄

—

278

—

149

C₄⋊C₄

—

139

—

150

C₄⋊C₄

C₂²×D₁₃₉

yes

—

151

C₄⋊C₄

C₂²×D₁₃₉

yes

—

152

C₄²

—

278

—

153

C₄²

—

139

—

154

C₄²

—

139

—

155

C₂³

D₄×D₁₃₉

yes

characteristic

156

Q₈

—

278

—

157

Q₈

—

278

—

158

Q₈

—

556

—

159

Q₈

—

139

—

160

C₂×C₄

—

161

C₂×C₄

—

162

C₂×C₄

—

163

C₂×C₄

—

164

C₂×C₄

—

278

—

165

C₂×C₄

—

278

—

166

C₂×C₄

—

278

—

167

C₂×C₄

—

278

—

168

C₂×C₄

—

556

—

169

C₂×C₄

—

139

—

170

C₂×C₄

—

139

—

171

C₂×C₄

—

139

—

172

C₂×C₄

D₄×D₁₃₉

yes

characteristic

173

C₂×C₄

Q₈×D₁₃₉

yes

—

174

C₂×C₄

#14555785

yes

—

175

C₂×C₄

C₂³×D₁₃₉

yes

characteristic

176

C₈

—

177

C₈

—

278

—

178

C₂²

#17984820

yes

—

179

C₂²

Q₁₆×D₁₃₉

yes

—

180

C₂²

#17984866

yes

—

181

C₂²

C₂×D₄×D₁₃₉

yes

characteristic

182

C₄

—

183

C₄

—

184

C₄

—

278

—

185

C₄

—

278

—

186

C₄

—

556

—

187

C₄

—

139

—

188

C₄

#17984820

yes

—

189

C₄

C₂×Q₈×D₁₃₉

yes

characteristic

190

C₄

C₂×#14555785

yes

characteristic

191

C₂

#22581247

yes

direct product factor

192

C₂

C₂×#17984820

yes

characteristic

193

C₂

C₂×Q₁₆×D₁₃₉

yes

characteristic

194

C₂

C₂×#17984866

yes

characteristic

	subgroup	G/H
center	C₂³	D₄×D₁₃₉
commutator, cosocle	C₂×C₄×C₁₃₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₃₉
Fitting	C₂×#107×C₁₃₉	C₂
socle, prime radical	C₂³×C₁₃₉	C₂×D₄
hypercenter	C₂×#107	D₁₃₉
hypocenter	C₁₃₉	C₂×#477
LCS	G ▷ C₂×C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#107

subgroup

G/H

center

C₂³

D₄×D₁₃₉

commutator, cosocle

C₂×C₄×C₁₃₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₃₉

Fitting

C₂×#107×C₁₃₉

C₂

socle, prime radical

C₂³×C₁₃₉

C₂×D₄

D₁₃₉

C₁₃₉

G ▷ C₂×C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#107

N	H ≅ G/N	type
3. #22581247	C₂	direct (N × H)
33. C₂×Dic₂₇₈	Q₈	semidirect
60. Dic₂₇₈	C₂×Q₈	semidirect
93. C₂×C₁₃₉	#477	semidirect
97. C₁₃₉	C₂×#477	semidirect
191. C₂	#22581247	direct (N × H)

H ≅ G/N

type

3. #22581247

C₂

direct (N × H)

33. C₂×Dic₂₇₈

Q₈

semidirect

60. Dic₂₇₈

C₂×Q₈

semidirect

93. C₂×C₁₃₉

#477

semidirect

97. C₁₃₉

C₂×#477

semidirect

191. C₂

#22581247

direct (N × H)

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

subgroup	index
C₂×#17984841	2
C₂×#17984807	2
#22581247	2
C₂×#17984775	2
C₂×Dic₁₃₉⋊C₈	2
C₂×#17984767	2
C₂×#17984765	2
C₂×#107×C₁₃₉	2
C₂×#477	139

subgroup

index

C₂×Dic₁₃₉⋊C₈

C₂×#107×C₁₃₉

139

Subgroups — C₂×#22581247 #31816174

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C2×#22581247 #31816174

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22581247 #31816174