Group #33004216 — subgroups

Subgroups — #33004216

Order 18688.

590 conjugacy classes of subgroups; only the 163 normal subgroups are shown.

normal subgroups only

This group has 590 conjugacy classes of subgroups — too many to draw. Only its 163 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×#17988964	C₂	1	1	yes	maximal, characteristic
2	C₂×#17988389	C₂	1	4	yes	maximal, complemented
3	#22610095	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#346×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×D₅₈₄	—	2	1	no	—
6	C₂²×D₅₈₄	C₂²	1	2	yes	—
7	C₂×#14556588	—	2	1	no	—
8	#17988964	—	2	2	no	—
9	#17988964	C₄	1	4	yes	complemented
10	C₂×#14556525	C₂²	1	2	yes	—
11	C₂×#14556523	—	2	1	no	—
12	#17988453	—	2	1	no	—
13	#17988389	—	2	8	no	—
14	C₂²×C₁₆×C₇₃	C₂²	1	2	yes	—
15	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
16	#346×C₇₃	—	2	2	no	—
17	C₂²×D₂₉₂	—	2	2	no	—
18	C₂²×D₂₉₂	—	4	2	no	—
19	C₂×D₅₈₄	—	2	4	no	—
20	C₂×D₅₈₄	—	2	4	no	—
21	C₂×D₅₈₄	—	2	2	no	—
22	C₂×D₅₈₄	—	2	4	no	—
23	C₂×D₅₈₄	—	4	2	no	—
24	C₂×D₅₈₄	—	4	2	no	—
25	C₂×D₅₈₄	C₂×C₄	1	4	yes	—
26	#14556588	—	2	4	no	—
27	#14556588	—	4	2	no	—
28	C₂×C₄⋊Dic₇₃	—	2	2	no	—
29	#14556525	—	2	4	no	—
30	#14556523	—	4	2	no	—
31	#14556498	—	4	2	no	—
32	C₂²×C₈×C₇₃	D₄	1	1	yes	characteristic
33	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
34	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
35	C₂×C₁₆×C₇₃	—	2	2	no	—
36	C₂×C₁₆×C₇₃	—	2	2	no	—
37	C₂×C₁₆×C₇₃	D₄	1	4	yes	complemented
38	C₄×C₈×C₇₃	C₂×C₄	1	2	yes	—
39	C₄×C₈×C₇₃	D₄	1	2	yes	—
40	C₂³×D₇₃	—	4	2	no	—
41	C₂×D₂₉₂	—	2	4	no	—
42	C₂×D₂₉₂	—	4	2	no	—
43	C₂×D₂₉₂	—	4	2	no	—
44	C₂×D₂₉₂	—	4	2	no	—
45	C₂×D₂₉₂	—	4	2	no	—
46	C₂×D₂₉₂	—	4	8	no	—
47	C₂×D₂₉₂	—	4	2	no	—
48	C₂×D₂₉₂	—	8	8	no	—
49	C₂²×Dic₇₃	—	4	2	no	—
50	D₅₈₄	—	2	8	no	—
51	D₅₈₄	—	4	8	no	—
52	D₅₈₄	—	4	4	no	—
53	C₄⋊Dic₇₃	—	4	2	no	—
54	C₄⋊Dic₇₃	—	4	2	no	—
55	C₂²×C₄×C₇₃	D₈	1	2	yes	—
56	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
57	C₂×C₈×C₇₃	C₂²⋊C₄	1	2	yes	—
58	C₂×C₈×C₇₃	D₈	1	2	yes	—
59	C₂×C₈×C₇₃	SD₁₆	1	2	yes	—
60	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
61	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
62	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
63	C₂×C₈×C₇₃	#41	1	2	yes	—
64	C₄²×C₇₃	C₂²⋊C₄	1	2	yes	—
65	C₄²×C₇₃	SD₁₆	1	2	yes	—
66	C₁₆×C₇₃	—	2	4	no	—
67	C₂³×C₇₃	C₂×D₈	1	1	yes	characteristic
68	C₂²×D₇₃	—	4	4	no	—
69	C₂²×D₇₃	—	8	2	no	—
70	C₂²×D₇₃	—	8	2	no	—
71	C₂²×D₇₃	—	8	8	no	—
72	C₂×C₄×C₇₃	—	2	4	no	—
73	C₂×C₄×C₇₃	#102	1	4	yes	—
74	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
75	C₂×C₄×C₇₃	#124	1	1	yes	characteristic
76	C₂×C₄×C₇₃	#127	1	1	yes	characteristic
77	C₂×C₄×C₇₃	C₂×D₈	1	1	yes	characteristic
78	C₂×C₄×C₇₃	C₂×SD₁₆	1	1	yes	characteristic
79	C₂×C₄×C₇₃	C₂×SD₁₆	1	1	yes	characteristic
80	C₂×Dic₇₃	—	8	2	no	—
81	C₂×Dic₇₃	—	8	4	no	—
82	D₂₉₂	—	4	4	no	—
83	D₂₉₂	—	4	4	no	—
84	D₂₉₂	—	8	16	no	—
85	D₂₉₂	—	8	2	no	—
86	D₂₉₂	—	8	2	no	—
87	C₈×C₇₃	#102	1	4	yes	—
88	C₈×C₇₃	C₄×D₄	1	2	yes	—
89	C₈×C₇₃	#121	1	2	yes	—
90	C₂²×C₇₃	C₂×#102	1	1	yes	characteristic
91	C₂²×C₇₃	#486	1	1	yes	characteristic
92	C₂²×C₇₃	#493	1	1	yes	characteristic
93	C₂²×C₇₃	#509	1	4	yes	—
94	C₂×D₇₃	—	8	8	no	—
95	C₂×D₇₃	—	8	4	no	—
96	C₂×D₇₃	—	16	4	no	—
97	C₂×D₇₃	—	16	4	no	—
98	C₄×C₇₃	—	2	4	no	—
99	C₄×C₇₃	#390	1	1	yes	characteristic
100	C₄×C₇₃	C₂×#102	1	1	yes	characteristic
101	C₄×C₇₃	#486	1	1	yes	characteristic
102	C₄×C₇₃	#492	1	1	yes	characteristic
103	Dic₇₃	—	16	2	no	—
104	#13206	—	73	1	no	maximal, Sylow
105	C₂×C₇₃	#1957	1	1	yes	characteristic
106	C₂×C₇₃	#2140	1	2	yes	—
107	C₂×C₇₃	#2244	1	2	yes	—
108	C₂×C₇₃	#2250	1	2	yes	—
109	D₇₃	—	16	4	no	—
110	C₂×#493	—	73	1	no	—
111	C₂×#357	—	73	4	no	—
112	C₂×#346	D₇₃	1	1	yes	characteristic, complemented
113	#1846	—	73	1	no	—
114	C₇₃	#13206	1	1	yes	characteristic, complemented, Sylow
115	C₂²×D₈	—	73	2	no	—
116	C₂²×D₈	—	146	1	no	—
117	C₂×#127	—	146	1	no	—
118	C₂²×C₁₆	C₂×D₇₃	1	2	yes	—
119	#493	—	73	4	no	—
120	#493	—	146	2	no	—
121	C₂×#107	—	73	2	no	—
122	C₂×#106	—	146	1	no	—
123	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
124	#382	—	146	1	no	—
125	#357	—	146	8	no	—
126	#346	—	2	2	no	—
127	C₂²×D₄	—	292	2	no	—
128	C₂²×D₄	—	146	2	no	—
129	C₂×D₈	—	292	2	no	—
130	C₂×D₈	—	292	2	no	—
131	C₂×D₈	—	73	4	no	—
132	C₂×D₈	—	146	4	no	—
133	C₂×D₈	—	146	2	no	—
134	C₂×D₈	—	146	4	no	—
135	C₂×D₈	—	146	4	no	—
136	C₂²×C₈	D₂₉₂	1	1	yes	characteristic
137	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
138	#127	—	292	2	no	—
139	#127	—	146	4	no	—
140	C₂×C₄⋊C₄	—	146	2	no	—
141	C₂×C₄²	D₂₉₂	1	1	yes	characteristic
142	C₂×C₁₆	—	2	2	no	—
143	C₂×C₁₆	—	2	2	no	—
144	C₂×C₁₆	D₂₉₂	1	4	yes	complemented
145	#107	—	146	4	no	—
146	#106	—	292	2	no	—
147	C₄×C₈	C₄×D₇₃	1	2	yes	—
148	C₄×C₈	C₂²⋊D₇₃	1	2	yes	—
149	#95	—	292	2	no	—
150	C₂⁴	—	292	2	no	—
151	C₂×D₄	—	292	8	no	—
152	C₂×D₄	—	292	2	no	—
153	C₂×D₄	—	292	2	no	—
154	C₂×D₄	—	292	2	no	—
155	C₂×D₄	—	292	2	no	—
156	C₂×D₄	—	292	2	no	—
157	C₂×D₄	—	584	8	no	—
158	C₂×D₄	—	146	4	no	—
159	C₂²×C₄	—	292	2	no	—
160	C₂²×C₄	D₅₈₄	1	2	yes	—
161	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
162	D₈	—	292	8	no	—
163	D₈	—	292	4	no	—
164	D₈	—	146	8	no	—
165	C₂×C₈	#11924005	1	2	yes	—
166	C₂×C₈	D₅₈₄	1	2	yes	—
167	C₂×C₈	#11924017	1	2	yes	—
168	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
169	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
170	C₂×C₈	C₂×D₂₉₂	1	2	yes	—
171	C₂×C₈	#11924028	1	2	yes	—
172	C₄⋊C₄	—	292	2	no	—
173	C₄⋊C₄	—	292	2	no	—
174	C₄²	#11924005	1	2	yes	—
175	C₄²	#11924017	1	2	yes	—
176	C₁₆	—	2	4	no	—
177	C₂³	—	292	4	no	—
178	C₂³	—	584	2	no	—
179	C₂³	—	584	2	no	—
180	C₂³	—	584	8	no	—
181	C₂³	C₂×D₅₈₄	1	1	yes	characteristic
182	D₄	—	292	4	no	—
183	D₄	—	292	4	no	—
184	D₄	—	584	16	no	—
185	D₄	—	584	2	no	—
186	D₄	—	584	2	no	—
187	C₂×C₄	—	2	4	no	—
188	C₂×C₄	—	584	2	no	—
189	C₂×C₄	—	584	4	no	—
190	C₂×C₄	#14556513	1	4	yes	—
191	C₂×C₄	C₂×#11924005	1	1	yes	characteristic
192	C₂×C₄	#14556579	1	1	yes	characteristic
193	C₂×C₄	#14556588	1	1	yes	characteristic
194	C₂×C₄	C₂×D₅₈₄	1	1	yes	characteristic
195	C₂×C₄	C₂×#11924017	1	1	yes	characteristic
196	C₂×C₄	C₂×#11924017	1	1	yes	characteristic
197	C₈	#14556513	1	4	yes	—
198	C₈	C₄×D₂₉₂	1	2	yes	—
199	C₈	#14556565	1	2	yes	—
200	C₂²	—	584	4	no	—
201	C₂²	—	584	8	no	—
202	C₂²	—	1168	4	no	—
203	C₂²	—	1168	4	no	—
204	C₂²	C₂×#14556513	1	1	yes	characteristic
205	C₂²	#17988934	1	1	yes	characteristic
206	C₂²	#17988964	1	1	yes	characteristic
207	C₂²	#17989025	1	4	yes	—
208	C₄	—	2	4	no	—
209	C₄	—	1168	2	no	—
210	C₄	#17988489	1	1	yes	characteristic
211	C₄	C₂×#14556513	1	1	yes	characteristic
212	C₄	#17988934	1	1	yes	characteristic
213	C₄	#17988960	1	1	yes	characteristic
214	C₂	—	1168	4	no	—
215	C₂	#22610737	1	1	yes	characteristic
216	C₂	#22611648	1	2	yes	—
217	C₂	#22612173	1	2	yes	—
218	C₂	#22612197	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#17988964

C₂

yes

maximal, characteristic

C₂×#17988389

C₂

yes

maximal, complemented

#22610095

C₂

yes

maximal, characteristic, complemented

C₂×#346×C₇₃

C₂

yes

maximal, characteristic, complemented

C₂²×D₅₈₄

—

C₂²×D₅₈₄

C₂²

yes

—

C₂×#14556588

—

#17988964

—

#17988964

C₄

yes

complemented

C₂×#14556525

C₂²

yes

—

C₂×#14556523

—

#17988453

—

#17988389

—

C₂²×C₁₆×C₇₃

C₂²

yes

—

C₂×C₄×C₈×C₇₃

C₂²

yes

characteristic

#346×C₇₃

—

C₂²×D₂₉₂

—

C₂²×D₂₉₂

—

C₂×D₅₈₄

—

C₂×D₅₈₄

—

C₂×D₅₈₄

—

C₂×D₅₈₄

—

C₂×D₅₈₄

—

C₂×D₅₈₄

—

C₂×D₅₈₄

C₂×C₄

yes

—

#14556588

—

#14556588

—

C₂×C₄⋊Dic₇₃

—

#14556525

—

#14556523

—

#14556498

—

C₂²×C₈×C₇₃

D₄

yes

characteristic

C₂²×C₈×C₇₃

C₂³

yes

characteristic

C₂×C₄²×C₇₃

D₄

yes

characteristic

C₂×C₁₆×C₇₃

—

C₂×C₁₆×C₇₃

—

C₂×C₁₆×C₇₃

D₄

yes

complemented

C₄×C₈×C₇₃

C₂×C₄

yes

—

C₄×C₈×C₇₃

D₄

yes

—

C₂³×D₇₃

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂×D₂₉₂

—

C₂²×Dic₇₃

—

D₅₈₄

—

D₅₈₄

—

D₅₈₄

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₂²×C₄×C₇₃

D₈

yes

—

C₂²×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂×C₈×C₇₃

C₂²⋊C₄

yes

—

C₂×C₈×C₇₃

D₈

yes

—

C₂×C₈×C₇₃

SD₁₆

yes

—

C₂×C₈×C₇₃

C₂²×C₄

yes

characteristic

C₂×C₈×C₇₃

C₂×D₄

yes

characteristic

C₂×C₈×C₇₃

C₂×D₄

yes

—

C₂×C₈×C₇₃

#41

yes

—

C₄²×C₇₃

C₂²⋊C₄

yes

—

C₄²×C₇₃

SD₁₆

yes

—

C₁₆×C₇₃

—

C₂³×C₇₃

C₂×D₈

yes

characteristic

C₂²×D₇₃

—

C₂²×D₇₃

—

C₂²×D₇₃

—

C₂²×D₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

#102

yes

—

C₂×C₄×C₇₃

C₂×C₂²⋊C₄

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

C₂×D₈

yes

characteristic

C₂×C₄×C₇₃

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₇₃

C₂×SD₁₆

yes

characteristic

C₂×Dic₇₃

—

C₂×Dic₇₃

—

D₂₉₂

—

D₂₉₂

—

D₂₉₂

—

D₂₉₂

—

D₂₉₂

—

C₈×C₇₃

#102

yes

—

C₈×C₇₃

C₄×D₄

yes

—

C₈×C₇₃

#121

yes

—

C₂²×C₇₃

yes

C₂²×C₇₃

yes

C₂²×C₇₃

yes

C₂²×C₇₃

yes

—

C₂×D₇₃

—

C₂×D₇₃

—

C₂×D₇₃

—

C₂×D₇₃

—

C₄×C₇₃

—

C₄×C₇₃

#390

yes

characteristic

100

C₄×C₇₃

C₂×#102

yes

characteristic

101

C₄×C₇₃

#486

yes

characteristic

102

C₄×C₇₃

#492

yes

characteristic

103

Dic₇₃

—

104

#13206

—

maximal, Sylow

105

C₂×C₇₃

#1957

yes

characteristic

106

C₂×C₇₃

#2140

yes

—

107

C₂×C₇₃

#2244

yes

—

108

C₂×C₇₃

#2250

yes

—

109

D₇₃

—

110

C₂×#493

—

111

C₂×#357

—

112

C₂×#346

D₇₃

yes

characteristic, complemented

113

#1846

—

114

C₇₃

#13206

yes

characteristic, complemented, Sylow

115

C₂²×D₈

—

116

C₂²×D₈

—

146

—

117

C₂×#127

—

146

—

118

C₂²×C₁₆

C₂×D₇₃

yes

—

119

#493

—

120

#493

—

146

—

121

C₂×#107

—

122

C₂×#106

—

146

—

123

C₂×C₄×C₈

C₂×D₇₃

yes

characteristic

124

#382

—

146

—

125

#357

—

146

—

126

#346

—

127

C₂²×D₄

—

292

—

128

C₂²×D₄

—

146

—

129

C₂×D₈

—

292

—

130

C₂×D₈

—

292

—

131

C₂×D₈

—

132

C₂×D₈

—

146

—

133

C₂×D₈

—

146

—

134

C₂×D₈

—

146

—

135

C₂×D₈

—

146

—

136

C₂²×C₈

D₂₉₂

yes

characteristic

137

C₂²×C₈

C₂²×D₇₃

yes

characteristic

138

#127

—

292

—

139

#127

—

146

—

140

C₂×C₄⋊C₄

—

146

—

141

C₂×C₄²

D₂₉₂

yes

characteristic

142

C₂×C₁₆

—

143

C₂×C₁₆

—

144

C₂×C₁₆

D₂₉₂

yes

complemented

145

#107

—

146

—

146

#106

—

292

—

147

C₄×C₈

C₄×D₇₃

yes

—

148

C₄×C₈

C₂²⋊D₇₃

yes

—

149

#95

—

292

—

150

C₂⁴

—

292

—

151

C₂×D₄

—

292

—

152

C₂×D₄

—

292

—

153

C₂×D₄

—

292

—

154

C₂×D₄

—

292

—

155

C₂×D₄

—

292

—

156

C₂×D₄

—

292

—

157

C₂×D₄

—

584

—

158

C₂×D₄

—

146

—

159

C₂²×C₄

—

292

—

160

C₂²×C₄

D₅₈₄

yes

—

161

C₂²×C₄

C₂×D₂₉₂

yes

characteristic

162

D₈

—

292

—

163

D₈

—

292

—

164

D₈

—

146

—

165

C₂×C₈

#11924005

yes

—

166

C₂×C₈

D₅₈₄

yes

—

167

C₂×C₈

#11924017

yes

—

168

C₂×C₈

C₂×C₄×D₇₃

yes

characteristic

169

C₂×C₈

C₂×C₂²⋊D₇₃

yes

characteristic

170

C₂×C₈

C₂×D₂₉₂

yes

—

171

C₂×C₈

#11924028

yes

—

172

C₄⋊C₄

—

292

—

173

C₄⋊C₄

—

292

—

174

C₄²

#11924005

yes

—

175

C₄²

#11924017

yes

—

176

C₁₆

—

177

C₂³

—

292

—

178

C₂³

—

584

—

179

C₂³

—

584

—

180

C₂³

—

584

—

181

C₂³

C₂×D₅₈₄

yes

characteristic

182

D₄

—

292

—

183

D₄

—

292

—

184

D₄

—

584

—

185

D₄

—

584

—

186

D₄

—

584

—

187

C₂×C₄

—

188

C₂×C₄

—

584

—

189

C₂×C₄

—

584

—

190

C₂×C₄

#14556513

yes

—

191

C₂×C₄

C₂×#11924005

yes

characteristic

192

C₂×C₄

#14556579

yes

characteristic

193

C₂×C₄

#14556588

yes

characteristic

194

C₂×C₄

C₂×D₅₈₄

yes

characteristic

195

C₂×C₄

C₂×#11924017

yes

characteristic

196

C₂×C₄

C₂×#11924017

yes

characteristic

197

C₈

#14556513

yes

—

198

C₈

C₄×D₂₉₂

yes

—

199

C₈

#14556565

yes

—

200

C₂²

—

584

—

201

C₂²

—

584

—

202

C₂²

—

1168

—

203

C₂²

—

1168

—

204

C₂²

C₂×#14556513

yes

characteristic

205

C₂²

#17988934

yes

characteristic

206

C₂²

#17988964

yes

characteristic

207

C₂²

#17989025

yes

—

208

C₄

—

209

C₄

—

1168

—

210

C₄

#17988489

yes

characteristic

211

C₄

C₂×#14556513

yes

characteristic

212

C₄

#17988934

yes

characteristic

213

C₄

#17988960

yes

characteristic

214

C₂

—

1168

—

215

C₂

#22610737

yes

characteristic

216

C₂

#22611648

yes

—

217

C₂

#22612173

yes

—

218

C₂

#22612197

yes

—

	subgroup	G/H
center	C₂³	C₂×D₅₈₄
commutator	C₂×C₈×C₇₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₇₃
Fitting	C₂×#346×C₇₃	C₂
socle	C₂³×C₇₃	C₂×D₈
prime radical	C₂×#17988964	C₂
cosocle	C₂²×C₈×C₇₃	C₂³
hypercenter	C₂×#346	D₇₃
hypocenter	C₇₃	#13206
LCS	G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×#346

subgroup

G/H

center

C₂³

C₂×D₅₈₄

commutator

C₂×C₈×C₇₃

C₂²×C₄

Frattini

C₂²×C₈

C₂²×D₇₃

Fitting

C₂×#346×C₇₃

C₂

socle

C₂³×C₇₃

C₂×D₈

prime radical

C₂×#17988964

C₂

cosocle

C₂²×C₈×C₇₃

C₂³

D₇₃

C₇₃

G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×#346

N	H ≅ G/N	type
2. C₂×#17988389	C₂	semidirect
3. #22610095	C₂	semidirect
4. C₂×#346×C₇₃	C₂	semidirect
9. #17988964	C₄	semidirect
37. C₂×C₁₆×C₇₃	D₄	semidirect
112. C₂×#346	D₇₃	semidirect
114. C₇₃	#13206	semidirect
144. C₂×C₁₆	D₂₉₂	semidirect

H ≅ G/N

type

2. C₂×#17988389

C₂

semidirect

3. #22610095

C₂

semidirect

4. C₂×#346×C₇₃

C₂

semidirect

9. #17988964

C₄

semidirect

37. C₂×C₁₆×C₇₃

D₄

semidirect

112. C₂×#346

D₇₃

semidirect

114. C₇₃

#13206

semidirect

144. C₂×C₁₆

D₂₉₂

semidirect

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

subgroup	index
C₂×#17988964	2
C₂×#17988389	2
#22610095	2
C₂×#346×C₇₃	2
#13206	73

subgroup

index

C₂×#346×C₇₃

Subgroups — #33004216

Conjugacy classes of subgroups

Complements

Maximal subgroups