Group #22622960 — subgroups

Subgroups — #22622960

Order 9344.

350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.

normal subgroups only

This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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	#17989315	C₂	1	1	yes	maximal, characteristic, complemented
2	#17989307	C₂	1	1	yes	maximal, characteristic
3	#17988978	C₂	1	2	yes	maximal
4	#17988967	C₂	1	1	yes	maximal, characteristic, complemented
5	#17988808	C₂	1	2	yes	maximal
6	#17988797	C₂	1	1	yes	maximal, characteristic, complemented
7	#17988796	C₂	1	2	yes	maximal, complemented
8	#17988792	C₂	1	1	yes	maximal, characteristic
9	#17988717	C₂	1	1	yes	maximal, characteristic, complemented
10	#17988693	C₂	1	2	yes	maximal, complemented
11	C₄×SD₁₆×C₇₃	C₂	1	1	yes	maximal, characteristic
12	C₂×Dic₂₉₂	C₂²	1	2	yes	—
13	C₂×Dic₂₉₂	C₂²	1	2	yes	—
14	C₂×#11924018	C₂²	1	2	yes	—
15	C₂×#11924016	C₂²	1	2	yes	—
16	#14556591	C₂²	1	1	yes	characteristic
17	#14556591	C₂²	1	1	yes	characteristic
18	#14556589	C₂²	1	2	yes	—
19	#14556584	—	2	2	no	—
20	#14556583	—	2	1	no	—
21	#14556581	—	2	2	no	—
22	#14556578	C₂²	1	2	yes	—
23	#14556570	—	2	1	no	—
24	C₄×Dic₁₄₆	—	2	1	no	—
25	C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic
26	#14556556	C₂²	1	2	yes	—
27	#14556556	C₂²	1	2	yes	—
28	#14556550	—	2	1	no	—
29	C₄⋊#10596831	C₂²	1	1	yes	characteristic
30	#14556520	C₂²	1	2	yes	—
31	#14556514	C₂²	1	2	yes	—
32	#14556514	C₂²	1	2	yes	—
33	#14556501	C₂²	1	2	yes	—
34	C₂×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
35	C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
36	C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
37	#106×C₇₃	C₂²	1	1	yes	characteristic
38	#103×C₇₃	C₂²	1	1	yes	characteristic
39	#102×C₇₃	C₂²	1	1	yes	characteristic
40	C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
41	C₂×Dic₁₄₆	D₄	1	1	yes	characteristic
42	C₂×Dic₁₄₆	C₂³	1	2	yes	—
43	C₂×Dic₁₄₆	C₂³	1	2	yes	—
44	Dic₂₉₂	—	2	4	no	—
45	Dic₂₉₂	—	4	2	no	—
46	#11924018	—	4	2	no	—
47	#11924016	—	4	2	no	—
48	C₂×#10596831	C₂³	1	2	yes	—
49	C₄⋊Dic₇₃	—	2	1	no	—
50	C₄⋊Dic₇₃	—	2	1	no	—
51	C₄⋊Dic₇₃	—	2	1	no	—
52	C₄⋊Dic₇₃	—	2	1	no	—
53	C₄⋊Dic₇₃	D₄	1	1	yes	characteristic
54	#11924007	—	2	2	no	—
55	#11924007	—	2	2	no	—
56	#11924007	—	2	2	no	—
57	#11924007	—	2	2	no	—
58	#11924007	D₄	1	2	yes	—
59	C₂²⋊Dic₇₃	—	2	2	no	—
60	C₂²⋊Dic₇₃	—	2	2	no	—
61	C₄×Dic₇₃	—	2	2	no	—
62	C₄×Dic₇₃	—	2	2	no	—
63	C₄×Dic₇₃	C₂³	1	2	yes	—
64	C₂×Q₈×C₇₃	C₂³	1	1	yes	characteristic
65	C₂×D₄×C₇₃	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₇₃	—	2	1	no	—
67	SD₁₆×C₇₃	—	2	2	no	—
68	C₂×C₈×C₇₃	C₂³	1	1	yes	characteristic
69	C₂×C₈×C₇₃	C₂³	1	1	yes	characteristic
70	C₄⋊C₄×C₇₃	—	2	1	no	—
71	C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
72	C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
73	C₂²⋊C₄×C₇₃	—	2	1	no	—
74	C₄²×C₇₃	—	2	1	no	—
75	C₄²×C₇₃	C₂³	1	1	yes	characteristic
76	C₂³×C₇₃	—	2	1	no	—
77	Q₈×C₇₃	—	2	1	no	—
78	Q₈×C₇₃	—	2	1	no	—
79	D₄×C₇₃	—	2	1	no	—
80	D₄×C₇₃	—	2	1	no	—
81	C₂×C₄×C₇₃	—	2	1	no	—
82	C₂×C₄×C₇₃	—	2	1	no	—
83	C₂×C₄×C₇₃	—	2	1	no	—
84	C₂×C₄×C₇₃	—	4	2	no	—
85	C₂×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
86	C₂×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
87	C₂×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
88	C₂×Dic₇₃	—	2	2	no	—
89	C₂×Dic₇₃	—	2	2	no	—
90	C₂×Dic₇₃	C₂×D₄	1	2	yes	—
91	C₂×Dic₇₃	C₂×D₄	1	2	yes	—
92	Dic₁₄₆	—	2	2	no	—
93	Dic₁₄₆	—	2	2	no	—
94	Dic₁₄₆	—	2	2	no	—
95	Dic₁₄₆	—	2	2	no	—
96	Dic₁₄₆	—	2	2	no	—
97	C₈×C₇₃	—	2	1	no	—
98	C₈×C₇₃	#41	1	2	yes	—
99	#10596831	—	2	2	no	—
100	C₂²×C₇₃	—	4	1	no	—
101	C₂²×C₇₃	—	4	1	no	—
102	C₂²×C₇₃	—	4	1	no	—
103	C₂²×C₇₃	C₂²×D₄	1	1	yes	characteristic
104	C₄×C₇₃	—	2	1	no	—
105	C₄×C₇₃	—	4	1	no	—
106	C₄×C₇₃	—	4	1	no	—
107	C₄×C₇₃	—	4	1	no	—
108	C₄×C₇₃	#137	1	2	yes	—
109	C₄×C₇₃	C₂×#41	1	1	yes	characteristic
110	C₄×C₇₃	H(5,𝔽₂)	1	1	yes	characteristic
111	Dic₇₃	—	2	2	no	—
112	Dic₇₃	—	2	2	no	—
113	Dic₇₃	—	4	2	no	—
114	Dic₇₃	—	4	2	no	—
115	C₂×C₇₃	—	8	1	no	—
116	C₂×C₇₃	#550	1	1	yes	characteristic
117	C₂×C₇₃	C₂×#137	1	1	yes	characteristic
118	C₂×C₇₃	#578	1	1	yes	characteristic
119	#3398	—	73	1	no	maximal, Sylow
120	C₇₃	#3398	1	1	yes	characteristic, complemented, Sylow
121	#557	—	73	1	no	—
122	#556	—	73	1	no	—
123	#497	—	73	2	no	—
124	#494	—	73	1	no	—
125	#464	—	73	2	no	—
126	#462	—	73	1	no	—
127	#462	—	73	2	no	—
128	#461	—	73	1	no	—
129	#446	—	73	1	no	—
130	#441	—	73	2	no	—
131	C₄×SD₁₆	D₇₃	1	1	yes	characteristic
132	C₂×Q₁₆	—	73	2	no	—
133	C₂×Q₁₆	—	73	2	no	—
134	C₂×Q₁₆	—	73	2	no	—
135	C₂×SD₁₆	—	73	2	no	—
136	C₂×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
137	C₄⋊Q₈	—	73	2	no	—
138	C₄⋊Q₈	—	73	1	no	—
139	C₄⋊Q₈	—	73	1	no	—
140	#126	—	146	2	no	—
141	#125	—	146	1	no	—
142	#125	—	146	2	no	—
143	#124	—	73	2	no	—
144	C₂²⋊Q₈	—	146	1	no	—
145	C₄×Q₈	—	73	1	no	—
146	C₄×Q₈	—	73	2	no	—
147	C₄×Q₈	—	73	2	no	—
148	C₄×Q₈	—	146	1	no	—
149	C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic
150	C₄×D₄	C₂×D₇₃	1	1	yes	characteristic
151	#117	—	146	1	no	—
152	#106	C₂×D₇₃	1	1	yes	characteristic
153	C₄⋊C₈	—	73	2	no	—
154	C₄⋊C₈	—	73	1	no	—
155	#103	—	73	2	no	—
156	#103	—	73	2	no	—
157	#103	C₂×D₇₃	1	1	yes	characteristic
158	#102	C₂×D₇₃	1	1	yes	characteristic
159	#97	—	73	2	no	—
160	C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
161	C₂×Q₈	—	73	1	no	—
162	C₂×Q₈	—	73	2	no	—
163	C₂×Q₈	—	73	2	no	—
164	C₂×Q₈	C₂²×D₇₃	1	1	yes	characteristic
165	C₂×D₄	C₂²×D₇₃	1	1	yes	characteristic
166	C₂²×C₄	—	2	1	no	—
167	Q₁₆	—	292	2	no	—
168	Q₁₆	—	292	2	no	—
169	Q₁₆	—	146	4	no	—
170	SD₁₆	—	2	2	no	—
171	SD₁₆	—	292	2	no	—
172	C₂×C₈	—	73	2	no	—
173	C₂×C₈	C₂²×D₇₃	1	1	yes	characteristic
174	C₂×C₈	C₂²×D₇₃	1	1	yes	characteristic
175	C₄⋊C₄	—	2	1	no	—
176	C₄⋊C₄	—	73	2	no	—
177	C₄⋊C₄	—	73	1	no	—
178	C₄⋊C₄	—	146	2	no	—
179	C₄⋊C₄	—	146	2	no	—
180	C₄⋊C₄	—	146	2	no	—
181	C₄⋊C₄	—	146	2	no	—
182	C₄⋊C₄	—	146	1	no	—
183	C₄⋊C₄	—	146	1	no	—
184	C₄⋊C₄	—	146	1	no	—
185	C₄⋊C₄	—	146	1	no	—
186	C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
187	C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
188	C₂²⋊C₄	—	2	1	no	—
189	C₂²⋊C₄	—	146	2	no	—
190	C₂²⋊C₄	—	146	2	no	—
191	C₄²	—	2	1	no	—
192	C₄²	—	73	2	no	—
193	C₄²	—	146	2	no	—
194	C₄²	—	146	2	no	—
195	C₄²	C₂²×D₇₃	1	1	yes	characteristic
196	C₂³	—	2	1	no	—
197	Q₈	—	2	1	no	—
198	Q₈	—	2	1	no	—
199	Q₈	—	146	2	no	—
200	Q₈	—	146	2	no	—
201	Q₈	—	146	2	no	—
202	Q₈	—	146	2	no	—
203	Q₈	—	146	2	no	—
204	D₄	—	2	1	no	—
205	D₄	—	2	1	no	—
206	C₂×C₄	—	2	1	no	—
207	C₂×C₄	—	2	1	no	—
208	C₂×C₄	—	2	1	no	—
209	C₂×C₄	—	4	2	no	—
210	C₂×C₄	—	73	2	no	—
211	C₂×C₄	—	73	2	no	—
212	C₂×C₄	—	146	2	no	—
213	C₂×C₄	—	146	2	no	—
214	C₂×C₄	D₄×D₇₃	1	1	yes	characteristic
215	C₂×C₄	D₄×D₇₃	1	1	yes	characteristic
216	C₂×C₄	C₂³×D₇₃	1	1	yes	characteristic
217	C₈	—	2	1	no	—
218	C₈	—	146	2	no	—
219	C₈	#11924028	1	2	yes	—
220	C₂²	—	4	1	no	—
221	C₂²	—	4	1	no	—
222	C₂²	—	4	1	no	—
223	C₂²	C₂×D₄×D₇₃	1	1	yes	characteristic
224	C₄	—	2	1	no	—
225	C₄	—	4	1	no	—
226	C₄	—	4	1	no	—
227	C₄	—	4	1	no	—
228	C₄	—	292	2	no	—
229	C₄	—	292	2	no	—
230	C₄	—	146	2	no	—
231	C₄	—	146	2	no	—
232	C₄	#14556620	1	2	yes	—
233	C₄	C₂×#11924028	1	1	yes	characteristic
234	C₄	#14556637	1	1	yes	characteristic
235	C₂	—	8	1	no	—
236	C₂	#17989258	1	1	yes	characteristic
237	C₂	C₂×#14556620	1	1	yes	characteristic
238	C₂	#17989401	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#17989315

C₂

yes

maximal, characteristic, complemented

#17989307

C₂

yes

maximal, characteristic

#17988978

C₂

yes

maximal

#17988967

C₂

yes

maximal, characteristic, complemented

#17988808

C₂

yes

maximal

#17988797

C₂

yes

maximal, characteristic, complemented

#17988796

C₂

yes

maximal, complemented

#17988792

C₂

yes

maximal, characteristic

#17988717

C₂

yes

maximal, characteristic, complemented

#17988693

C₂

yes

maximal, complemented

C₄×SD₁₆×C₇₃

C₂

yes

maximal, characteristic

C₂×Dic₂₉₂

C₂²

yes

—

C₂×Dic₂₉₂

C₂²

yes

—

C₂×#11924018

C₂²

yes

—

C₂×#11924016

C₂²

yes

—

#14556591

C₂²

yes

characteristic

#14556591

C₂²

yes

characteristic

#14556589

C₂²

yes

—

—

—

—

C₂²

yes

—

#14556570

—

C₄×Dic₁₄₆

—

C₄×Dic₁₄₆

C₂²

yes

characteristic

#14556556

C₂²

yes

—

#14556556

C₂²

yes

—

#14556550

—

C₄⋊#10596831

C₂²

yes

characteristic

#14556520

C₂²

yes

—

#14556514

C₂²

yes

—

#14556514

C₂²

yes

—

#14556501

C₂²

yes

—

C₂×SD₁₆×C₇₃

C₂²

yes

characteristic

C₄×Q₈×C₇₃

C₂²

yes

characteristic

C₄×D₄×C₇₃

C₂²

yes

characteristic

#106×C₇₃

C₂²

yes

characteristic

#103×C₇₃

C₂²

yes

characteristic

#102×C₇₃

C₂²

yes

characteristic

C₄×C₈×C₇₃

C₂²

yes

characteristic

C₂×Dic₁₄₆

D₄

yes

characteristic

C₂×Dic₁₄₆

C₂³

yes

—

C₂×Dic₁₄₆

C₂³

yes

—

Dic₂₉₂

—

Dic₂₉₂

—

#11924018

—

#11924016

—

C₂×#10596831

C₂³

yes

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

D₄

yes

—

—

—

—

D₄

yes

—

C₂²⋊Dic₇₃

—

C₂²⋊Dic₇₃

—

C₄×Dic₇₃

—

C₄×Dic₇₃

—

C₄×Dic₇₃

C₂³

yes

—

C₂×Q₈×C₇₃

C₂³

yes

characteristic

C₂×D₄×C₇₃

C₂³

yes

characteristic

C₂²×C₄×C₇₃

—

SD₁₆×C₇₃

—

C₂×C₈×C₇₃

C₂³

yes

characteristic

C₂×C₈×C₇₃

C₂³

yes

characteristic

C₄⋊C₄×C₇₃

—

C₄⋊C₄×C₇₃

C₂³

yes

characteristic

C₄⋊C₄×C₇₃

C₂³

yes

characteristic

C₂²⋊C₄×C₇₃

—

C₄²×C₇₃

—

C₄²×C₇₃

C₂³

yes

characteristic

C₂³×C₇₃

—

Q₈×C₇₃

—

Q₈×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂×C₄×C₇₃

C₂⁴

yes

characteristic

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

C₂×D₄

yes

—

C₂×Dic₇₃

C₂×D₄

yes

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

C₈×C₇₃

—

C₈×C₇₃

#41

yes

—

#10596831

—

100

C₂²×C₇₃

—

101

C₂²×C₇₃

—

102

C₂²×C₇₃

—

103

C₂²×C₇₃

C₂²×D₄

yes

characteristic

104

C₄×C₇₃

—

105

C₄×C₇₃

—

106

C₄×C₇₃

—

107

C₄×C₇₃

—

108

C₄×C₇₃

#137

yes

—

109

C₄×C₇₃

C₂×#41

yes

characteristic

110

C₄×C₇₃

H(5,𝔽₂)

yes

characteristic

111

Dic₇₃

—

112

Dic₇₃

—

113

Dic₇₃

—

114

Dic₇₃

—

115

C₂×C₇₃

—

116

C₂×C₇₃

#550

yes

characteristic

117

C₂×C₇₃

C₂×#137

yes

characteristic

118

C₂×C₇₃

yes

119

—

120

C₇₃

#3398

yes

characteristic, complemented, Sylow

121

#557

—

122

#556

—

123

#497

—

124

#494

—

125

#464

—

126

#462

—

127

#462

—

128

#461

—

129

#446

—

130

#441

—

131

C₄×SD₁₆

D₇₃

yes

characteristic

132

C₂×Q₁₆

—

133

C₂×Q₁₆

—

134

C₂×Q₁₆

—

135

C₂×SD₁₆

—

136

C₂×SD₁₆

C₂×D₇₃

yes

characteristic

137

C₄⋊Q₈

—

138

C₄⋊Q₈

—

139

C₄⋊Q₈

—

140

#126

—

146

—

141

#125

—

146

—

142

#125

—

146

—

143

#124

—

144

C₂²⋊Q₈

—

146

—

145

C₄×Q₈

—

146

C₄×Q₈

—

147

C₄×Q₈

—

148

C₄×Q₈

—

146

—

149

C₄×Q₈

C₂×D₇₃

yes

characteristic

150

C₄×D₄

C₂×D₇₃

yes

characteristic

151

#117

—

146

—

152

#106

C₂×D₇₃

yes

characteristic

153

C₄⋊C₈

—

154

C₄⋊C₈

—

155

#103

—

156

#103

—

157

#103

C₂×D₇₃

yes

characteristic

158

#102

C₂×D₇₃

yes

characteristic

159

#97

—

160

C₄×C₈

C₂×D₇₃

yes

characteristic

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

C₂²×D₇₃

yes

characteristic

165

C₂×D₄

C₂²×D₇₃

yes

characteristic

166

C₂²×C₄

—

167

Q₁₆

—

292

—

168

Q₁₆

—

292

—

169

Q₁₆

—

146

—

170

SD₁₆

—

171

SD₁₆

—

292

—

172

C₂×C₈

—

173

C₂×C₈

C₂²×D₇₃

yes

characteristic

174

C₂×C₈

C₂²×D₇₃

yes

characteristic

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₄⋊C₄

—

178

C₄⋊C₄

—

146

—

179

C₄⋊C₄

—

146

—

180

C₄⋊C₄

—

146

—

181

C₄⋊C₄

—

146

—

182

C₄⋊C₄

—

146

—

183

C₄⋊C₄

—

146

—

184

C₄⋊C₄

—

146

—

185

C₄⋊C₄

—

146

—

186

C₄⋊C₄

C₂²×D₇₃

yes

characteristic

187

C₄⋊C₄

C₂²×D₇₃

yes

characteristic

188

C₂²⋊C₄

—

189

C₂²⋊C₄

—

146

—

190

C₂²⋊C₄

—

146

—

191

C₄²

—

192

C₄²

—

193

C₄²

—

146

—

194

C₄²

—

146

—

195

C₄²

C₂²×D₇₃

yes

characteristic

196

C₂³

—

197

Q₈

—

198

Q₈

—

199

Q₈

—

146

—

200

Q₈

—

146

—

201

Q₈

—

146

—

202

Q₈

—

146

—

203

Q₈

—

146

—

204

D₄

—

205

D₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

146

—

213

C₂×C₄

—

146

—

214

C₂×C₄

D₄×D₇₃

yes

characteristic

215

C₂×C₄

D₄×D₇₃

yes

characteristic

216

C₂×C₄

C₂³×D₇₃

yes

characteristic

217

C₈

—

218

C₈

—

146

—

219

C₈

#11924028

yes

—

220

C₂²

—

221

C₂²

—

222

C₂²

—

223

C₂²

C₂×D₄×D₇₃

yes

characteristic

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

228

C₄

—

292

—

229

C₄

—

292

—

230

C₄

—

146

—

231

C₄

—

146

—

232

C₄

#14556620

yes

—

233

C₄

C₂×#11924028

yes

characteristic

234

C₄

#14556637

yes

characteristic

235

C₂

—

236

C₂

#17989258

yes

characteristic

237

C₂

C₂×#14556620

yes

characteristic

238

C₂

#17989401

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₇₃
commutator	C₂×C₄×C₇₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₇₃
Fitting	C₄×SD₁₆×C₇₃	C₂
socle	C₂²×C₇₃	C₂²×D₄
hypercenter	C₄×SD₁₆	D₇₃
hypocenter	C₇₃	#3398
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₄×SD₁₆

subgroup

G/H

center

C₂²

C₂×D₄×D₇₃

commutator

C₂×C₄×C₇₃

C₂⁴

Frattini

C₂×C₄

C₂³×D₇₃

Fitting

C₄×SD₁₆×C₇₃

C₂

socle

C₂²×C₇₃

C₂²×D₄

hypercenter

C₄×SD₁₆

D₇₃

hypocenter

C₇₃

#3398

LCS

G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂² ◁ C₄² ◁ C₄×SD₁₆

N	H ≅ G/N	type
1. #17989315	C₂	semidirect
4. #17988967	C₂	semidirect
6. #17988797	C₂	semidirect
7. #17988796	C₂	semidirect
9. #17988717	C₂	semidirect
10. #17988693	C₂	semidirect
120. C₇₃	#3398	semidirect

H ≅ G/N

type

1. #17989315

C₂

semidirect

4. #17988967

C₂

semidirect

6. #17988797

C₂

semidirect

7. #17988796

C₂

semidirect

9. #17988717

C₂

semidirect

10. #17988693

C₂

semidirect

120. C₇₃

#3398

semidirect

Subgroups — #22622960

Conjugacy classes of subgroups

Complements