Group #23763707 — subgroups

Subgroups — #23763707

Order 10112.

404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14579140	C₂	1	1	yes	maximal, characteristic
2	C₂×#14579084	C₂	1	2	yes	maximal, complemented
3	C₂×C₂²⋊(C₇₉⋊C₈)	C₂	1	1	yes	maximal, characteristic
4	#19098325	C₂	1	2	yes	maximal, complemented
5	C₂²×C₄⋊C₄×C₇₉	C₂	1	1	yes	maximal, characteristic
6	C₂²×Dic₁₅₈	C₂²	1	1	yes	characteristic
7	C₂²×C₇₉⋊C₈	C₂²	1	2	yes	—
8	#14579140	—	2	2	no	—
9	#14579140	C₄	1	4	yes	complemented
10	C₂×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic
11	C₂×Dic₇₉⋊C₄	—	2	1	no	—
12	C₂×C₂²⋊Dic₇₉	—	2	1	no	—
13	#14579084	—	2	4	no	—
14	C₂²⋊(C₇₉⋊C₈)	—	2	2	no	—
15	C₂³×C₄×C₇₉	—	2	1	no	—
16	C₂³×C₄×C₇₉	C₂²	1	1	yes	characteristic
17	C₂×C₄⋊C₄×C₇₉	—	2	1	no	—
18	C₂×C₄⋊C₄×C₇₉	—	2	4	no	—
19	C₂×C₄⋊C₄×C₇₉	C₂²	1	2	yes	—
20	C₂×Dic₁₅₈	—	2	2	no	—
21	C₂×Dic₁₅₈	—	2	1	no	—
22	C₂×Dic₁₅₈	—	2	2	no	—
23	C₂×Dic₁₅₈	C₂×C₄	1	2	yes	complemented
24	C₂²×Dic₇₉	—	2	1	no	—
25	C₂²×Dic₇₉	—	2	1	no	—
26	C₂×C₇₉⋊C₈	—	2	2	no	—
27	C₂×C₇₉⋊C₈	—	2	2	no	—
28	C₂×C₇₉⋊C₈	—	2	2	no	—
29	C₄⋊Dic₇₉	—	2	1	no	—
30	C₄⋊Dic₇₉	C₂×C₄	1	2	yes	complemented
31	Dic₇₉⋊C₄	—	2	4	no	—
32	C₂²⋊Dic₇₉	—	2	4	no	—
33	C₂⁴×C₇₉	D₄	1	1	yes	characteristic
34	C₂²×C₄×C₇₉	—	2	2	no	—
35	C₂²×C₄×C₇₉	—	2	2	no	—
36	C₂²×C₄×C₇₉	—	2	4	no	—
37	C₂²×C₄×C₇₉	—	2	2	no	—
38	C₂²×C₄×C₇₉	—	4	2	no	—
39	C₂²×C₄×C₇₉	—	4	2	no	—
40	C₂²×C₄×C₇₉	C₂×C₄	1	2	yes	—
41	C₂²×C₄×C₇₉	D₄	1	1	yes	characteristic
42	C₂²×C₄×C₇₉	D₄	1	2	yes	—
43	C₂²×C₄×C₇₉	C₂³	1	1	yes	characteristic
44	C₄⋊C₄×C₇₉	—	2	4	no	—
45	C₄⋊C₄×C₇₉	—	2	2	no	—
46	C₄⋊C₄×C₇₉	D₄	1	4	yes	—
47	C₂³×C₇₉	—	2	1	no	—
48	C₂³×C₇₉	—	2	1	no	—
49	C₂³×C₇₉	—	2	1	no	—
50	C₂³×C₇₉	—	2	1	no	—
51	C₂³×C₇₉	C₂²⋊C₄	1	2	yes	—
52	C₂³×C₇₉	SD₁₆	1	2	yes	—
53	C₂³×C₇₉	Q₁₆	1	2	yes	—
54	C₂³×C₇₉	C₂×D₄	1	1	yes	characteristic
55	C₂×C₄×C₇₉	—	2	1	no	—
56	C₂×C₄×C₇₉	—	2	1	no	—
57	C₂×C₄×C₇₉	—	2	4	no	—
58	C₂×C₄×C₇₉	—	2	4	no	—
59	C₂×C₄×C₇₉	—	2	4	no	—
60	C₂×C₄×C₇₉	—	4	8	no	—
61	C₂×C₄×C₇₉	—	4	2	no	—
62	C₂×C₄×C₇₉	—	4	2	no	—
63	C₂×C₄×C₇₉	C₂²⋊C₄	1	2	yes	—
64	C₂×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
65	C₂×C₄×C₇₉	C₂×D₄	1	2	yes	—
66	C₂×C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
67	C₂×C₄×C₇₉	#41	1	2	yes	—
68	C₂×Dic₇₉	—	2	2	no	—
69	C₂×Dic₇₉	—	2	2	no	—
70	C₂×Dic₇₉	—	4	1	no	—
71	C₂×Dic₇₉	—	4	1	no	—
72	C₂×Dic₇₉	—	4	1	no	—
73	C₂×Dic₇₉	—	4	1	no	—
74	Dic₁₅₈	—	2	4	no	—
75	Dic₁₅₈	—	4	2	no	—
76	C₇₉⋊C₈	—	4	2	no	—
77	C₂²×C₇₉	—	2	2	no	—
78	C₂²×C₇₉	—	2	2	no	—
79	C₂²×C₇₉	—	2	2	no	—
80	C₂²×C₇₉	—	2	2	no	—
81	C₂²×C₇₉	—	2	2	no	—
82	C₂²×C₇₉	—	2	2	no	—
83	C₂²×C₇₉	#103	1	4	yes	complemented
84	C₂²×C₇₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
85	C₂²×C₇₉	#120	1	1	yes	characteristic
86	C₂²×C₇₉	#123	1	1	yes	characteristic
87	C₂²×C₇₉	C₂×SD₁₆	1	1	yes	characteristic
88	C₂²×C₇₉	C₂×Q₁₆	1	1	yes	characteristic
89	C₂²×C₇₉	AGL(1,ℤ/8)	1	1	yes	characteristic
90	C₂²×C₇₉	#137	1	1	yes	characteristic
91	C₄×C₇₉	—	2	2	no	—
92	C₄×C₇₉	—	4	4	no	—
93	C₄×C₇₉	C₄×D₄	1	2	yes	—
94	C₄×C₇₉	#121	1	2	yes	—
95	Dic₇₉	—	4	2	no	—
96	Dic₇₉	—	4	2	no	—
97	C₂×C₇₉	—	2	4	no	—
98	C₂×C₇₉	#386	1	1	yes	characteristic
99	C₂×C₇₉	C₂×#103	1	1	yes	characteristic
100	C₂×C₇₉	#417	1	1	yes	characteristic
101	C₂×C₇₉	#450	1	1	yes	characteristic
102	C₂×C₇₉	#451	1	1	yes	characteristic
103	C₂×C₇₉	#483	1	1	yes	characteristic
104	C₂×C₇₉	#484	1	1	yes	characteristic
105	#1872	—	79	1	no	maximal, Sylow
106	C₇₉	#1872	1	1	yes	characteristic, complemented, Sylow
107	C₂×C₂²⋊Q₈	—	79	1	no	—
108	C₂²×C₄⋊C₄	D₇₉	1	1	yes	characteristic
109	C₂×#103	—	79	2	no	—
110	C₂×C₂²⋊C₈	—	79	1	no	—
111	#340	—	79	2	no	—
112	C₂²×Q₈	—	79	1	no	—
113	C₂³×C₄	—	2	1	no	—
114	C₂³×C₄	C₂×D₇₉	1	1	yes	characteristic
115	C₂²×C₈	—	79	2	no	—
116	C₂²⋊Q₈	—	79	4	no	—
117	C₂²⋊Q₈	—	158	2	no	—
118	C₂×C₄⋊C₄	—	2	1	no	—
119	C₂×C₄⋊C₄	—	2	4	no	—
120	C₂×C₄⋊C₄	—	79	1	no	—
121	C₂×C₄⋊C₄	—	158	1	no	—
122	C₂×C₄⋊C₄	C₂×D₇₉	1	2	yes	—
123	C₂×C₂²⋊C₄	—	158	1	no	—
124	#103	—	158	4	no	—
125	C₂²⋊C₈	—	158	2	no	—
126	C₂⁴	C₂²⋊D₇₉	1	1	yes	characteristic
127	C₂×Q₈	—	79	2	no	—
128	C₂×Q₈	—	158	2	no	—
129	C₂×Q₈	—	158	2	no	—
130	C₂×Q₈	—	158	1	no	—
131	C₂²×C₄	—	2	2	no	—
132	C₂²×C₄	—	2	2	no	—
133	C₂²×C₄	—	2	4	no	—
134	C₂²×C₄	—	2	2	no	—
135	C₂²×C₄	—	4	2	no	—
136	C₂²×C₄	—	4	2	no	—
137	C₂²×C₄	—	158	1	no	—
138	C₂²×C₄	—	158	1	no	—
139	C₂²×C₄	C₄×D₇₉	1	2	yes	—
140	C₂²×C₄	D₃₁₆	1	2	yes	—
141	C₂²×C₄	C₂²⋊D₇₉	1	1	yes	characteristic
142	C₂²×C₄	C₂²×D₇₉	1	1	yes	characteristic
143	C₂×C₈	—	158	2	no	—
144	C₂×C₈	—	158	2	no	—
145	C₂×C₈	—	158	2	no	—
146	C₄⋊C₄	—	2	4	no	—
147	C₄⋊C₄	—	2	2	no	—
148	C₄⋊C₄	—	79	2	no	—
149	C₄⋊C₄	—	158	4	no	—
150	C₄⋊C₄	—	158	1	no	—
151	C₄⋊C₄	C₂²⋊D₇₉	1	4	yes	—
152	C₂²⋊C₄	—	158	4	no	—
153	C₂³	—	2	1	no	—
154	C₂³	—	2	1	no	—
155	C₂³	—	2	1	no	—
156	C₂³	—	2	1	no	—
157	C₂³	(C₂×D₇₉)⋊C₄	1	2	yes	—
158	C₂³	#11929612	1	2	yes	—
159	C₂³	#11929614	1	2	yes	—
160	C₂³	C₂×C₂²⋊D₇₉	1	1	yes	characteristic
161	Q₈	—	316	2	no	—
162	Q₈	—	158	4	no	—
163	C₂×C₄	—	2	1	no	—
164	C₂×C₄	—	2	1	no	—
165	C₂×C₄	—	2	4	no	—
166	C₂×C₄	—	2	4	no	—
167	C₂×C₄	—	2	4	no	—
168	C₂×C₄	—	4	8	no	—
169	C₂×C₄	—	4	2	no	—
170	C₂×C₄	—	4	2	no	—
171	C₂×C₄	—	316	1	no	—
172	C₂×C₄	—	316	1	no	—
173	C₂×C₄	—	316	1	no	—
174	C₂×C₄	—	316	1	no	—
175	C₂×C₄	—	158	2	no	—
176	C₂×C₄	—	158	2	no	—
177	C₂×C₄	(C₂×D₇₉)⋊C₄	1	2	yes	—
178	C₂×C₄	C₂×C₄×D₇₉	1	1	yes	characteristic
179	C₂×C₄	C₂×C₂²⋊D₇₉	1	2	yes	—
180	C₂×C₄	C₂×D₃₁₆	1	1	yes	characteristic
181	C₂×C₄	#11929624	1	2	yes	—
182	C₈	—	316	2	no	—
183	C₂²	—	2	2	no	—
184	C₂²	—	2	2	no	—
185	C₂²	—	2	2	no	—
186	C₂²	—	2	2	no	—
187	C₂²	—	2	2	no	—
188	C₂²	—	2	2	no	—
189	C₂²	#14579084	1	4	yes	complemented
190	C₂²	C₂×(C₂×D₇₉)⋊C₄	1	1	yes	characteristic
191	C₂²	#14579130	1	1	yes	characteristic
192	C₂²	#14579144	1	1	yes	characteristic
193	C₂²	C₂×#11929612	1	1	yes	characteristic
194	C₂²	C₂×#11929614	1	1	yes	characteristic
195	C₂²	#14579187	1	1	yes	characteristic
196	C₂²	#14579192	1	1	yes	characteristic
197	C₄	—	2	2	no	—
198	C₄	—	4	4	no	—
199	C₄	—	316	2	no	—
200	C₄	—	316	2	no	—
201	C₄	C₄×C₂²⋊D₇₉	1	2	yes	—
202	C₄	#14579135	1	2	yes	—
203	C₂	—	2	4	no	—
204	C₂	#19098442	1	1	yes	characteristic
205	C₂	C₂×#14579084	1	1	yes	characteristic
206	C₂	#19098562	1	1	yes	characteristic
207	C₂	#19098714	1	1	yes	characteristic
208	C₂	#19098719	1	1	yes	characteristic
209	C₂	#19098893	1	1	yes	characteristic
210	C₂	#19098898	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14579140

C₂

yes

maximal, characteristic

C₂×#14579084

C₂

yes

maximal, complemented

C₂×C₂²⋊(C₇₉⋊C₈)

C₂

yes

maximal, characteristic

#19098325

C₂

yes

maximal, complemented

C₂²×C₄⋊C₄×C₇₉

C₂

yes

maximal, characteristic

C₂²×Dic₁₅₈

C₂²

yes

characteristic

C₂²×C₇₉⋊C₈

C₂²

yes

—

#14579140

—

#14579140

C₄

yes

complemented

C₂×C₄⋊Dic₇₉

C₂²

yes

characteristic

C₂×Dic₇₉⋊C₄

—

C₂×C₂²⋊Dic₇₉

—

#14579084

—

C₂²⋊(C₇₉⋊C₈)

—

C₂³×C₄×C₇₉

—

C₂³×C₄×C₇₉

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₇₉

—

C₂×C₄⋊C₄×C₇₉

—

C₂×C₄⋊C₄×C₇₉

C₂²

yes

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

—

C₂×Dic₁₅₈

C₂×C₄

yes

complemented

C₂²×Dic₇₉

—

C₂²×Dic₇₉

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₂×C₇₉⋊C₈

—

C₄⋊Dic₇₉

—

C₄⋊Dic₇₉

C₂×C₄

yes

complemented

Dic₇₉⋊C₄

—

C₂²⋊Dic₇₉

—

C₂⁴×C₇₉

D₄

yes

characteristic

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

—

C₂²×C₄×C₇₉

C₂×C₄

yes

—

C₂²×C₄×C₇₉

D₄

yes

characteristic

C₂²×C₄×C₇₉

D₄

yes

—

C₂²×C₄×C₇₉

C₂³

yes

characteristic

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

—

C₄⋊C₄×C₇₉

D₄

yes

—

C₂³×C₇₉

—

C₂³×C₇₉

—

C₂³×C₇₉

—

C₂³×C₇₉

—

C₂³×C₇₉

C₂²⋊C₄

yes

—

C₂³×C₇₉

SD₁₆

yes

—

C₂³×C₇₉

Q₁₆

yes

—

C₂³×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

—

C₂×C₄×C₇₉

C₂²⋊C₄

yes

—

C₂×C₄×C₇₉

C₂²×C₄

yes

characteristic

C₂×C₄×C₇₉

C₂×D₄

yes

—

C₂×C₄×C₇₉

C₂×D₄

yes

characteristic

C₂×C₄×C₇₉

#41

yes

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

C₂×Dic₇₉

—

Dic₁₅₈

—

Dic₁₅₈

—

C₇₉⋊C₈

—

C₂²×C₇₉

—

C₂²×C₇₉

—

C₂²×C₇₉

—

C₂²×C₇₉

—

C₂²×C₇₉

—

C₂²×C₇₉

—

C₂²×C₇₉

#103

yes

complemented

C₂²×C₇₉

C₂×C₂²⋊C₄

yes

C₂²×C₇₉

yes

C₂²×C₇₉

yes

C₂²×C₇₉

C₂×SD₁₆

yes

characteristic

C₂²×C₇₉

C₂×Q₁₆

yes

C₂²×C₇₉

yes

C₂²×C₇₉

yes

C₄×C₇₉

—

C₄×C₇₉

—

C₄×C₇₉

C₄×D₄

yes

—

C₄×C₇₉

#121

yes

—

Dic₇₉

—

Dic₇₉

—

C₂×C₇₉

—

C₂×C₇₉

yes

C₂×C₇₉

yes

100

C₂×C₇₉

#417

yes

characteristic

101

C₂×C₇₉

#450

yes

characteristic

102

C₂×C₇₉

#451

yes

characteristic

103

C₂×C₇₉

#483

yes

characteristic

104

C₂×C₇₉

yes

105

—

106

C₇₉

#1872

yes

characteristic, complemented, Sylow

107

C₂×C₂²⋊Q₈

—

108

C₂²×C₄⋊C₄

D₇₉

yes

characteristic

109

C₂×#103

—

110

C₂×C₂²⋊C₈

—

111

#340

—

112

C₂²×Q₈

—

113

C₂³×C₄

—

114

C₂³×C₄

C₂×D₇₉

yes

characteristic

115

C₂²×C₈

—

116

C₂²⋊Q₈

—

117

C₂²⋊Q₈

—

158

—

118

C₂×C₄⋊C₄

—

119

C₂×C₄⋊C₄

—

120

C₂×C₄⋊C₄

—

121

C₂×C₄⋊C₄

—

158

—

122

C₂×C₄⋊C₄

C₂×D₇₉

yes

—

123

C₂×C₂²⋊C₄

—

158

—

124

#103

—

158

—

125

C₂²⋊C₈

—

158

—

126

C₂⁴

C₂²⋊D₇₉

yes

characteristic

127

C₂×Q₈

—

128

C₂×Q₈

—

158

—

129

C₂×Q₈

—

158

—

130

C₂×Q₈

—

158

—

131

C₂²×C₄

—

132

C₂²×C₄

—

133

C₂²×C₄

—

134

C₂²×C₄

—

135

C₂²×C₄

—

136

C₂²×C₄

—

137

C₂²×C₄

—

158

—

138

C₂²×C₄

—

158

—

139

C₂²×C₄

C₄×D₇₉

yes

—

140

C₂²×C₄

D₃₁₆

yes

—

141

C₂²×C₄

C₂²⋊D₇₉

yes

characteristic

142

C₂²×C₄

C₂²×D₇₉

yes

characteristic

143

C₂×C₈

—

158

—

144

C₂×C₈

—

158

—

145

C₂×C₈

—

158

—

146

C₄⋊C₄

—

147

C₄⋊C₄

—

148

C₄⋊C₄

—

149

C₄⋊C₄

—

158

—

150

C₄⋊C₄

—

158

—

151

C₄⋊C₄

C₂²⋊D₇₉

yes

—

152

C₂²⋊C₄

—

158

—

153

C₂³

—

154

C₂³

—

155

C₂³

—

156

C₂³

—

157

C₂³

(C₂×D₇₉)⋊C₄

yes

—

158

C₂³

#11929612

yes

—

159

C₂³

#11929614

yes

—

160

C₂³

C₂×C₂²⋊D₇₉

yes

characteristic

161

Q₈

—

316

—

162

Q₈

—

158

—

163

C₂×C₄

—

164

C₂×C₄

—

165

C₂×C₄

—

166

C₂×C₄

—

167

C₂×C₄

—

168

C₂×C₄

—

169

C₂×C₄

—

170

C₂×C₄

—

171

C₂×C₄

—

316

—

172

C₂×C₄

—

316

—

173

C₂×C₄

—

316

—

174

C₂×C₄

—

316

—

175

C₂×C₄

—

158

—

176

C₂×C₄

—

158

—

177

C₂×C₄

(C₂×D₇₉)⋊C₄

yes

—

178

C₂×C₄

C₂×C₄×D₇₉

yes

characteristic

179

C₂×C₄

C₂×C₂²⋊D₇₉

yes

—

180

C₂×C₄

C₂×D₃₁₆

yes

characteristic

181

C₂×C₄

#11929624

yes

—

182

C₈

—

316

—

183

C₂²

—

184

C₂²

—

185

C₂²

—

186

C₂²

—

187

C₂²

—

188

C₂²

—

189

C₂²

#14579084

yes

complemented

190

C₂²

C₂×(C₂×D₇₉)⋊C₄

yes

characteristic

191

C₂²

#14579130

yes

characteristic

192

C₂²

#14579144

yes

characteristic

193

C₂²

C₂×#11929612

yes

characteristic

194

C₂²

C₂×#11929614

yes

characteristic

195

C₂²

#14579187

yes

characteristic

196

C₂²

#14579192

yes

characteristic

197

C₄

—

198

C₄

—

199

C₄

—

316

—

200

C₄

—

316

—

201

C₄

C₄×C₂²⋊D₇₉

yes

—

202

C₄

#14579135

yes

—

203

C₂

—

204

C₂

#19098442

yes

characteristic

205

C₂

C₂×#14579084

yes

characteristic

206

C₂

#19098562

yes

characteristic

207

C₂

#19098714

yes

characteristic

208

C₂

#19098719

yes

characteristic

209

C₂

#19098893

yes

characteristic

210

C₂

#19098898

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊D₇₉
commutator	C₂×C₄×C₇₉	C₂²×C₄
Frattini	C₂²×C₄	C₂²×D₇₉
Fitting	C₂²×C₄⋊C₄×C₇₉	C₂
socle	C₂³×C₇₉	C₂×D₄
prime radical	C₂⁴×C₇₉	D₄
cosocle	C₂²×C₄×C₇₉	C₂³
hypercenter	C₂²×C₄⋊C₄	D₇₉
hypocenter	C₇₉	#1872
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂³×C₄ ◁ C₂²×C₄⋊C₄

subgroup

G/H

center

C₂³

C₂×C₂²⋊D₇₉

commutator

C₂×C₄×C₇₉

C₂²×C₄

Frattini

C₂²×C₄

C₂²×D₇₉

Fitting

C₂²×C₄⋊C₄×C₇₉

C₂

socle

C₂³×C₇₉

C₂×D₄

prime radical

C₂⁴×C₇₉

D₄

cosocle

C₂²×C₄×C₇₉

C₂³

hypercenter

C₂²×C₄⋊C₄

D₇₉

hypocenter

C₇₉

#1872

LCS

G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉

UCS

C₁ ◁ C₂³ ◁ C₂³×C₄ ◁ C₂²×C₄⋊C₄

N	H ≅ G/N	type
2. C₂×#14579084	C₂	semidirect
4. #19098325	C₂	semidirect
9. #14579140	C₄	semidirect
23. C₂×Dic₁₅₈	C₂×C₄	semidirect
30. C₄⋊Dic₇₉	C₂×C₄	semidirect
83. C₂²×C₇₉	#103	semidirect
106. C₇₉	#1872	semidirect
189. C₂²	#14579084	semidirect

H ≅ G/N

type

2. C₂×#14579084

C₂

semidirect

4. #19098325

C₂

semidirect

9. #14579140

C₄

semidirect

23. C₂×Dic₁₅₈

C₂×C₄

semidirect

30. C₄⋊Dic₇₉

C₂×C₄

semidirect

83. C₂²×C₇₉

#103

semidirect

106. C₇₉

#1872

semidirect

189. C₂²

#14579084

semidirect

Subgroups — #23763707

Conjugacy classes of subgroups

Complements