Group #22620852 — subgroups

Subgroups — #22620852

Order 9344.

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

normal subgroups only

This group has 428 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	#17989135	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Q₈×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#17988959	C₂	1	1	yes	maximal, characteristic, complemented
4	#17988938	C₂	1	1	yes	maximal, characteristic, complemented
5	#17988937	C₂	1	1	yes	maximal, characteristic, complemented
6	#17988790	C₂	1	4	yes	maximal, complemented
7	#17988724	C₂	1	4	yes	maximal, complemented
8	#17988638	C₂	1	1	yes	maximal, characteristic, complemented
9	#492×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11924027	—	2	1	no	—
11	C₂×Q₈×D₇₃	C₂²	1	2	yes	—
12	C₂×#11924016	C₂²	1	4	yes	—
13	#14556591	C₂²	1	1	yes	characteristic
14	#14556591	C₂²	1	1	yes	characteristic
15	#14556590	—	2	1	no	—
16	#14556590	—	2	1	no	—
17	#14556589	C₂²	1	2	yes	—
18	#14556578	—	2	1	no	—
19	#14556562	—	2	1	no	—
20	#14556562	C₂²	1	2	yes	—
21	D₄×Dic₇₃	—	2	1	no	—
22	D₄×Dic₇₃	C₂²	1	2	yes	—
23	C₄⋊C₄×D₇₃	—	2	1	no	—
24	C₄⋊C₄×D₇₃	—	2	1	no	—
25	C₄²×D₇₃	C₂²	1	1	yes	characteristic
26	#14556520	C₂²	1	2	yes	—
27	#14556516	C₂²	1	4	yes	—
28	#14556515	C₂²	1	4	yes	—
29	#14556503	C₂²	1	2	yes	—
30	C₄×#10596831	C₂²	1	1	yes	characteristic
31	C₂×SD₁₆×C₇₃	C₂²	1	4	yes	—
32	C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
33	#127×C₇₃	C₂²	1	1	yes	characteristic
34	C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
35	#11924027	—	4	4	no	—
36	C₂×Dic₁₄₆	—	2	1	no	—
37	C₂×Dic₁₄₆	—	2	2	no	—
38	C₂×Dic₁₄₆	C₂³	1	2	yes	—
39	Q₈×D₇₃	—	4	4	no	—
40	C₂×C₂²⋊D₇₃	—	2	2	no	—
41	C₂²×Dic₇₃	—	2	2	no	—
42	C₂×C₄×D₇₃	—	2	2	no	—
43	C₂×C₄×D₇₃	D₄	1	1	yes	characteristic
44	C₂×C₄×D₇₃	D₄	1	1	yes	characteristic
45	C₂×C₄×D₇₃	C₂³	1	1	yes	characteristic
46	#11924016	—	4	4	no	—
47	C₂×#10596831	C₂³	1	2	yes	—
48	C₄⋊Dic₇₃	—	2	1	no	—
49	C₄⋊Dic₇₃	—	2	1	no	—
50	C₄⋊Dic₇₃	—	2	1	no	—
51	C₄⋊Dic₇₃	C₂³	1	2	yes	—
52	#11924007	—	2	2	no	—
53	#11924007	—	2	2	no	—
54	C₂²⋊Dic₇₃	—	2	2	no	—
55	C₂²⋊Dic₇₃	—	2	2	no	—
56	C₄×Dic₇₃	D₄	1	1	yes	characteristic
57	C₄×Dic₇₃	D₄	1	1	yes	characteristic
58	C₄×Dic₇₃	C₂³	1	1	yes	characteristic
59	C₂×Q₈×C₇₃	C₂³	1	2	yes	—
60	C₂×D₄×C₇₃	—	2	1	no	—
61	C₂×D₄×C₇₃	—	2	1	no	—
62	C₂×D₄×C₇₃	C₂³	1	2	yes	—
63	SD₁₆×C₇₃	—	4	4	no	—
64	C₂×C₈×C₇₃	C₂³	1	2	yes	—
65	C₄⋊C₄×C₇₃	—	2	1	no	—
66	C₄⋊C₄×C₇₃	—	2	1	no	—
67	C₄²×C₇₃	C₂³	1	1	yes	characteristic
68	C₂³×C₇₃	—	2	2	no	—
69	C₂²×D₇₃	C₂×D₄	1	1	yes	characteristic
70	Q₈×C₇₃	—	2	4	no	—
71	D₄×C₇₃	—	2	4	no	—
72	D₄×C₇₃	—	4	2	no	—
73	D₄×C₇₃	—	4	2	no	—
74	C₂×C₄×C₇₃	—	2	2	no	—
75	C₂×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
76	C₂×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
78	C₂²⋊D₇₃	—	4	4	no	—
79	C₂×Dic₇₃	—	2	2	no	—
80	C₂×Dic₇₃	—	2	2	no	—
81	C₂×Dic₇₃	—	4	4	no	—
82	C₂×Dic₇₃	C₂×D₄	1	1	yes	characteristic
83	C₂×Dic₇₃	C₂×D₄	1	1	yes	characteristic
84	C₂×Dic₇₃	C₂×D₄	1	1	yes	characteristic
85	C₄×D₇₃	—	2	2	no	—
86	C₄×D₇₃	—	2	2	no	—
87	C₄×D₇₃	—	4	4	no	—
88	C₄×D₇₃	SD₁₆	1	4	yes	complemented
89	Dic₁₄₆	—	2	4	no	—
90	Dic₁₄₆	—	4	4	no	—
91	Dic₁₄₆	—	4	2	no	—
92	C₈×C₇₃	—	2	2	no	—
93	#10596831	—	2	2	no	—
94	C₂²×C₇₃	—	4	2	no	—
95	C₂²×C₇₃	—	4	2	no	—
96	C₂²×C₇₃	—	4	2	no	—
97	C₂²×C₇₃	C₂²×D₄	1	1	yes	characteristic
98	C₂×D₇₃	—	2	1	no	—
99	C₂×D₇₃	—	2	1	no	—
100	C₂×D₇₃	C₂×SD₁₆	1	2	yes	—
101	C₄×C₇₃	—	4	2	no	—
102	C₄×C₇₃	C₂×SD₁₆	1	2	yes	—
103	C₄×C₇₃	#137	1	2	yes	—
104	C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
105	Dic₇₃	—	2	1	no	—
106	Dic₇₃	—	2	1	no	—
107	Dic₇₃	—	4	2	no	—
108	Dic₇₃	—	4	2	no	—
109	Dic₇₃	C₂×SD₁₆	1	2	yes	—
110	C₂×C₇₃	—	8	2	no	—
111	C₂×C₇₃	#535	1	1	yes	characteristic
112	C₂×C₇₃	C₂²×SD₁₆	1	1	yes	characteristic
113	C₂×C₇₃	C₂×#137	1	1	yes	characteristic
114	D₇₃	—	2	2	no	—
115	#3206	—	73	1	no	maximal, Sylow
116	C₇₃	#3206	1	1	yes	characteristic, complemented, Sylow
117	#532	—	73	1	no	—
118	C₂×C₄⋊Q₈	—	73	1	no	—
119	#492	—	73	1	no	—
120	#492	D₇₃	1	1	yes	characteristic, complemented
121	#487	—	73	1	no	—
122	#487	—	73	1	no	—
123	#461	—	73	4	no	—
124	#448	—	73	4	no	—
125	#431	—	73	1	no	—
126	C₂×#41	—	146	1	no	—
127	C₂²×Q₈	—	73	2	no	—
128	C₂×SD₁₆	—	73	4	no	—
129	C₂×SD₁₆	C₂×D₇₃	1	4	yes	—
130	C₄⋊Q₈	—	73	2	no	—
131	C₄⋊Q₈	—	73	1	no	—
132	C₄⋊Q₈	—	73	1	no	—
133	C₄⋊Q₈	—	146	1	no	—
134	C₄⋊Q₈	—	146	1	no	—
135	C₄⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
136	#127	C₂×D₇₃	1	1	yes	characteristic
137	#124	—	146	1	no	—
138	#121	—	73	2	no	—
139	#121	—	146	1	no	—
140	C₄×D₄	—	73	2	no	—
141	C₄×D₄	—	146	1	no	—
142	C₂×C₄⋊C₄	—	146	1	no	—
143	C₂×C₄⋊C₄	—	146	1	no	—
144	C₂×C₄²	—	73	1	no	—
145	C₄⋊C₈	—	73	2	no	—
146	#103	—	73	4	no	—
147	#103	—	73	4	no	—
148	C₂²⋊C₈	—	73	2	no	—
149	C₄×C₈	—	73	1	no	—
150	C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
151	#41	—	292	4	no	—
152	C₂×Q₈	—	292	4	no	—
153	C₂×Q₈	—	73	2	no	—
154	C₂×Q₈	—	146	2	no	—
155	C₂×Q₈	—	146	1	no	—
156	C₂×Q₈	C₂²×D₇₃	1	2	yes	—
157	C₂×D₄	—	2	1	no	—
158	C₂×D₄	—	2	1	no	—
159	C₂×D₄	—	146	2	no	—
160	C₂×D₄	C₂²×D₇₃	1	2	yes	—
161	C₂²×C₄	—	73	1	no	—
162	C₂²×C₄	—	73	1	no	—
163	C₂²×C₄	—	73	1	no	—
164	C₂²×C₄	—	146	2	no	—
165	C₂²×C₄	—	146	2	no	—
166	SD₁₆	—	4	4	no	—
167	SD₁₆	—	292	4	no	—
168	C₂×C₈	—	73	2	no	—
169	C₂×C₈	C₂²×D₇₃	1	2	yes	—
170	C₄⋊C₄	—	2	1	no	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	73	2	no	—
173	C₄⋊C₄	—	146	2	no	—
174	C₄⋊C₄	—	146	2	no	—
175	C₄⋊C₄	—	146	1	no	—
176	C₄⋊C₄	—	146	1	no	—
177	C₄⋊C₄	—	146	1	no	—
178	C₂²⋊C₄	—	146	2	no	—
179	C₂²⋊C₄	—	146	2	no	—
180	C₄²	—	73	1	no	—
181	C₄²	—	73	1	no	—
182	C₄²	—	73	1	no	—
183	C₄²	C₂²×D₇₃	1	1	yes	characteristic
184	C₂³	—	2	2	no	—
185	C₂³	—	73	1	no	—
186	Q₈	—	2	4	no	—
187	Q₈	—	292	4	no	—
188	Q₈	—	292	2	no	—
189	Q₈	—	146	4	no	—
190	D₄	—	2	4	no	—
191	D₄	—	4	2	no	—
192	D₄	—	4	2	no	—
193	D₄	—	292	4	no	—
194	C₂×C₄	—	2	2	no	—
195	C₂×C₄	—	292	4	no	—
196	C₂×C₄	—	292	4	no	—
197	C₂×C₄	—	73	1	no	—
198	C₂×C₄	—	73	4	no	—
199	C₂×C₄	—	73	1	no	—
200	C₂×C₄	—	73	1	no	—
201	C₂×C₄	—	146	2	no	—
202	C₂×C₄	—	146	2	no	—
203	C₂×C₄	—	146	2	no	—
204	C₂×C₄	—	146	2	no	—
205	C₂×C₄	D₄×D₇₃	1	1	yes	characteristic
206	C₂×C₄	D₄×D₇₃	1	1	yes	characteristic
207	C₂×C₄	C₂³×D₇₃	1	1	yes	characteristic
208	C₈	—	2	2	no	—
209	C₈	—	146	2	no	—
210	C₂²	—	4	2	no	—
211	C₂²	—	4	2	no	—
212	C₂²	—	4	2	no	—
213	C₂²	—	73	2	no	—
214	C₂²	—	146	1	no	—
215	C₂²	—	146	1	no	—
216	C₂²	C₂×D₄×D₇₃	1	1	yes	characteristic
217	C₄	—	4	2	no	—
218	C₄	—	292	2	no	—
219	C₄	—	292	2	no	—
220	C₄	—	73	2	no	—
221	C₄	—	146	1	no	—
222	C₄	—	146	1	no	—
223	C₄	SD₁₆×D₇₃	1	2	yes	—
224	C₄	#14556620	1	2	yes	—
225	C₄	#14556636	1	2	yes	—
226	C₂	—	8	2	no	—
227	C₂	—	146	2	no	—
228	C₂	#17989150	1	1	yes	characteristic
229	C₂	C₂×SD₁₆×D₇₃	1	1	yes	characteristic
230	C₂	C₂×#14556620	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#17989135

C₂

yes

maximal, characteristic

C₄⋊Q₈×D₇₃

C₂

yes

maximal, characteristic, complemented

#17988959

C₂

yes

maximal, characteristic, complemented

#17988938

C₂

yes

maximal, characteristic, complemented

#17988937

C₂

yes

maximal, characteristic, complemented

#17988790

C₂

yes

maximal, complemented

#17988724

C₂

yes

maximal, complemented

#17988638

C₂

yes

maximal, characteristic, complemented

#492×C₇₃

C₂

yes

maximal, characteristic, complemented

C₂×#11924027

—

C₂×Q₈×D₇₃

C₂²

yes

—

C₂×#11924016

C₂²

yes

—

#14556591

C₂²

yes

characteristic

#14556591

C₂²

yes

—

—

C₂²

yes

—

#14556578

—

#14556562

—

#14556562

C₂²

yes

—

D₄×Dic₇₃

—

D₄×Dic₇₃

C₂²

yes

—

C₄⋊C₄×D₇₃

—

C₄⋊C₄×D₇₃

—

C₄²×D₇₃

C₂²

yes

characteristic

#14556520

C₂²

yes

—

#14556516

C₂²

yes

—

#14556515

C₂²

yes

—

#14556503

C₂²

yes

—

C₄×#10596831

C₂²

yes

characteristic

C₂×SD₁₆×C₇₃

C₂²

yes

—

C₄⋊Q₈×C₇₃

C₂²

yes

characteristic

#127×C₇₃

C₂²

yes

characteristic

C₄×C₈×C₇₃

C₂²

yes

characteristic

#11924027

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

C₂³

yes

—

Q₈×D₇₃

—

C₂×C₂²⋊D₇₃

—

C₂²×Dic₇₃

—

C₂×C₄×D₇₃

—

C₂×C₄×D₇₃

D₄

yes

characteristic

C₂×C₄×D₇₃

D₄

yes

characteristic

C₂×C₄×D₇₃

C₂³

yes

characteristic

#11924016

—

C₂×#10596831

C₂³

yes

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

C₂³

yes

—

#11924007

—

#11924007

—

C₂²⋊Dic₇₃

—

C₂²⋊Dic₇₃

—

C₄×Dic₇₃

D₄

yes

characteristic

C₄×Dic₇₃

D₄

yes

characteristic

C₄×Dic₇₃

C₂³

yes

characteristic

C₂×Q₈×C₇₃

C₂³

yes

—

C₂×D₄×C₇₃

—

C₂×D₄×C₇₃

—

C₂×D₄×C₇₃

C₂³

yes

—

SD₁₆×C₇₃

—

C₂×C₈×C₇₃

C₂³

yes

—

C₄⋊C₄×C₇₃

—

C₄⋊C₄×C₇₃

—

C₄²×C₇₃

C₂³

yes

characteristic

C₂³×C₇₃

—

C₂²×D₇₃

C₂×D₄

yes

characteristic

Q₈×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂×C₄×C₇₃

C₂⁴

yes

characteristic

C₂²⋊D₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

C₂×D₄

yes

characteristic

C₂×Dic₇₃

C₂×D₄

yes

characteristic

C₂×Dic₇₃

C₂×D₄

yes

characteristic

C₄×D₇₃

—

C₄×D₇₃

—

C₄×D₇₃

—

C₄×D₇₃

SD₁₆

yes

complemented

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

C₈×C₇₃

—

#10596831

—

C₂²×C₇₃

—

C₂²×C₇₃

—

C₂²×C₇₃

—

C₂²×C₇₃

C₂²×D₄

yes

characteristic

C₂×D₇₃

—

C₂×D₇₃

—

100

C₂×D₇₃

C₂×SD₁₆

yes

—

101

C₄×C₇₃

—

102

C₄×C₇₃

C₂×SD₁₆

yes

—

103

C₄×C₇₃

#137

yes

—

104

C₄×C₇₃

H(5,𝔽₂)

yes

—

105

Dic₇₃

—

106

Dic₇₃

—

107

Dic₇₃

—

108

Dic₇₃

—

109

Dic₇₃

C₂×SD₁₆

yes

—

110

C₂×C₇₃

—

111

C₂×C₇₃

#535

yes

characteristic

112

C₂×C₇₃

C₂²×SD₁₆

yes

characteristic

113

C₂×C₇₃

C₂×#137

yes

characteristic

114

D₇₃

—

115

#3206

—

maximal, Sylow

116

C₇₃

#3206

yes

characteristic, complemented, Sylow

117

#532

—

118

C₂×C₄⋊Q₈

—

119

#492

—

120

#492

D₇₃

yes

characteristic, complemented

121

#487

—

122

#487

—

123

#461

—

124

#448

—

125

#431

—

126

C₂×#41

—

146

—

127

C₂²×Q₈

—

128

C₂×SD₁₆

—

129

C₂×SD₁₆

C₂×D₇₃

yes

—

130

C₄⋊Q₈

—

131

C₄⋊Q₈

—

132

C₄⋊Q₈

—

133

C₄⋊Q₈

—

146

—

134

C₄⋊Q₈

—

146

—

135

C₄⋊Q₈

C₂×D₇₃

yes

characteristic

136

#127

C₂×D₇₃

yes

characteristic

137

#124

—

146

—

138

#121

—

139

#121

—

146

—

140

C₄×D₄

—

141

C₄×D₄

—

146

—

142

C₂×C₄⋊C₄

—

146

—

143

C₂×C₄⋊C₄

—

146

—

144

C₂×C₄²

—

145

C₄⋊C₈

—

146

#103

—

147

#103

—

148

C₂²⋊C₈

—

149

C₄×C₈

—

150

C₄×C₈

C₂×D₇₃

yes

characteristic

151

#41

—

292

—

152

C₂×Q₈

—

292

—

153

C₂×Q₈

—

154

C₂×Q₈

—

146

—

155

C₂×Q₈

—

146

—

156

C₂×Q₈

C₂²×D₇₃

yes

—

157

C₂×D₄

—

158

C₂×D₄

—

159

C₂×D₄

—

146

—

160

C₂×D₄

C₂²×D₇₃

yes

—

161

C₂²×C₄

—

162

C₂²×C₄

—

163

C₂²×C₄

—

164

C₂²×C₄

—

146

—

165

C₂²×C₄

—

146

—

166

SD₁₆

—

167

SD₁₆

—

292

—

168

C₂×C₈

—

169

C₂×C₈

C₂²×D₇₃

yes

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

146

—

174

C₄⋊C₄

—

146

—

175

C₄⋊C₄

—

146

—

176

C₄⋊C₄

—

146

—

177

C₄⋊C₄

—

146

—

178

C₂²⋊C₄

—

146

—

179

C₂²⋊C₄

—

146

—

180

C₄²

—

181

C₄²

—

182

C₄²

—

183

C₄²

C₂²×D₇₃

yes

characteristic

184

C₂³

—

185

C₂³

—

186

Q₈

—

187

Q₈

—

292

—

188

Q₈

—

292

—

189

Q₈

—

146

—

190

D₄

—

191

D₄

—

192

D₄

—

193

D₄

—

292

—

194

C₂×C₄

—

195

C₂×C₄

—

292

—

196

C₂×C₄

—

292

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

146

—

202

C₂×C₄

—

146

—

203

C₂×C₄

—

146

—

204

C₂×C₄

—

146

—

205

C₂×C₄

D₄×D₇₃

yes

characteristic

206

C₂×C₄

D₄×D₇₃

yes

characteristic

207

C₂×C₄

C₂³×D₇₃

yes

characteristic

208

C₈

—

209

C₈

—

146

—

210

C₂²

—

211

C₂²

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

146

—

215

C₂²

—

146

—

216

C₂²

C₂×D₄×D₇₃

yes

characteristic

217

C₄

—

218

C₄

—

292

—

219

C₄

—

292

—

220

C₄

—

221

C₄

—

146

—

222

C₄

—

146

—

223

C₄

SD₁₆×D₇₃

yes

—

224

C₄

#14556620

yes

—

225

C₄

#14556636

yes

—

226

C₂

—

227

C₂

—

146

—

228

C₂

#17989150

yes

characteristic

229

C₂

C₂×SD₁₆×D₇₃

yes

characteristic

230

C₂

C₂×#14556620

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₇₃
commutator	C₂×C₄×C₇₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₇₃
Fitting	#492×C₇₃	C₂
socle	C₂²×C₇₃	C₂²×D₄
hypercenter	#492	D₇₃
hypocenter	C₇₃	#3206
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #492

subgroup

G/H

center

C₂²

C₂×D₄×D₇₃

commutator

C₂×C₄×C₇₃

C₂⁴

Frattini

C₂×C₄

C₂³×D₇₃

Fitting

#492×C₇₃

C₂

socle

C₂²×C₇₃

C₂²×D₄

D₇₃

C₇₃

G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #492

N	H ≅ G/N	type
2. C₄⋊Q₈×D₇₃	C₂	semidirect
3. #17988959	C₂	semidirect
4. #17988938	C₂	semidirect
5. #17988937	C₂	semidirect
6. #17988790	C₂	semidirect
7. #17988724	C₂	semidirect
8. #17988638	C₂	semidirect
9. #492×C₇₃	C₂	semidirect
88. C₄×D₇₃	SD₁₆	semidirect
116. C₇₃	#3206	semidirect
120. #492	D₇₃	semidirect

H ≅ G/N

type

2. C₄⋊Q₈×D₇₃

C₂

semidirect

3. #17988959

C₂

semidirect

4. #17988938

C₂

semidirect

5. #17988937

C₂

semidirect

6. #17988790

C₂

semidirect

7. #17988724

C₂

semidirect

8. #17988638

C₂

semidirect

9. #492×C₇₃

C₂

semidirect

88. C₄×D₇₃

SD₁₆

semidirect

116. C₇₃

#3206

semidirect

120. #492

D₇₃

semidirect

Subgroups — #22620852

Conjugacy classes of subgroups

Complements