Group #33004748 — subgroups

Subgroups — #33004748

Order 18688.

516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 516 conjugacy classes of subgroups — too many to draw. Only its 99 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	C₂²×Dic₅₈₄	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#17988862	C₂	1	2	yes	maximal
3	C₂×#17988404	C₂	1	2	yes	maximal, complemented
4	#22608025	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#2113	C₂	1	1	yes	maximal, characteristic
6	C₂×#14556621	—	2	2	no	—
7	C₂²×Dic₂₉₂	C₂²	1	2	yes	—
8	C₂×Dic₅₈₄	—	2	4	no	—
9	C₂×Dic₅₈₄	—	2	2	no	—
10	#17988862	—	2	4	no	—
11	#17988862	—	2	4	no	—
12	C₂×#14556527	C₂²	1	2	yes	—
13	C₂×#14556509	—	2	2	no	—
14	#17988404	—	2	4	no	—
15	C₂×#131×C₇₃	C₂²	1	1	yes	characteristic
16	C₂×M₃₂×C₇₃	C₂²	1	1	yes	characteristic
17	C₂²×C₁₆×C₇₃	C₂²	1	1	yes	characteristic
18	C₂²⋊C₁₆×C₇₃	—	2	2	no	—
19	C₂²×Dic₁₄₆	—	2	2	no	—
20	#14556621	—	2	8	no	—
21	#14556621	—	4	4	no	—
22	C₂×Dic₂₉₂	—	2	2	no	—
23	C₂×Dic₂₉₂	—	2	2	no	—
24	C₂×Dic₂₉₂	—	2	2	no	—
25	C₂×Dic₂₉₂	—	2	2	no	—
26	C₂×Dic₂₉₂	—	2	2	no	—
27	C₂×Dic₂₉₂	D₄	1	4	yes	—
28	C₂×#11924018	—	4	2	no	—
29	C₂×#11924016	—	4	2	no	—
30	C₂×#11924012	—	2	2	no	—
31	Dic₅₈₄	—	2	8	no	—
32	#14556527	—	2	2	no	—
33	#14556527	D₄	1	4	yes	—
34	#14556509	—	2	8	no	—
35	C₂×#41×C₇₃	D₄	1	1	yes	characteristic
36	#131×C₇₃	—	2	2	no	—
37	#131×C₇₃	—	2	2	no	—
38	C₂×M₁₆×C₇₃	—	2	1	no	—
39	C₂×M₁₆×C₇₃	D₄	1	1	yes	characteristic
40	C₂²×C₈×C₇₃	—	2	1	no	—
41	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
42	M₃₂×C₇₃	—	2	2	no	—
43	C₂×C₁₆×C₇₃	—	2	2	no	—
44	C₂×C₁₆×C₇₃	—	2	1	no	—
45	C₂×C₁₆×C₇₃	D₄	1	2	yes	—
46	C₂×Dic₁₄₆	—	2	4	no	—
47	C₂×Dic₁₄₆	—	4	2	no	—
48	C₂×Dic₁₄₆	—	4	2	no	—
49	C₂×Dic₁₄₆	—	4	2	no	—
50	C₂×Dic₁₄₆	—	4	2	no	—
51	C₂×Dic₁₄₆	—	4	2	no	—
52	C₂²×Dic₇₃	—	4	2	no	—
53	Dic₂₉₂	—	2	4	no	—
54	Dic₂₉₂	—	2	4	no	—
55	Dic₂₉₂	—	4	2	no	—
56	Dic₂₉₂	—	4	2	no	—
57	#11924018	—	4	8	no	—
58	#11924016	—	4	8	no	—
59	#11924012	—	2	4	no	—
60	#11924012	—	4	2	no	—
61	C₂×#10596831	—	4	2	no	—
62	#41×C₇₃	—	2	2	no	—
63	#41×C₇₃	—	2	2	no	—
64	C₂×Q₈×C₇₃	D₈	1	1	yes	characteristic
65	C₂×D₄×C₇₃	—	2	1	no	—
66	C₂×D₄×C₇₃	D₈	1	1	yes	characteristic
67	C₂²×C₄×C₇₃	—	2	1	no	—
68	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
69	M₁₆×C₇₃	—	2	2	no	—
70	M₁₆×C₇₃	—	4	2	no	—
71	C₂×C₈×C₇₃	—	2	1	no	—
72	C₂×C₈×C₇₃	—	4	1	no	—
73	C₂×C₈×C₇₃	—	4	1	no	—
74	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
75	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
76	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
77	C₂×C₈×C₇₃	#41	1	1	yes	characteristic
78	C₁₆×C₇₃	—	2	2	no	—
79	C₁₆×C₇₃	—	4	1	no	—
80	C₂³×C₇₃	—	2	1	no	—
81	C₂³×C₇₃	#135	1	1	yes	characteristic
82	Q₈×C₇₃	—	2	2	no	—
83	D₄×C₇₃	—	2	2	no	—
84	D₄×C₇₃	—	4	2	no	—
85	C₂×C₄×C₇₃	—	2	1	no	—
86	C₂×C₄×C₇₃	—	4	1	no	—
87	C₂×C₄×C₇₃	—	4	1	no	—
88	C₂×C₄×C₇₃	#120	1	2	yes	—
89	C₂×C₄×C₇₃	#121	1	1	yes	characteristic
90	C₂×C₄×C₇₃	C₂×D₈	1	1	yes	characteristic
91	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	2	yes	—
92	C₂×Dic₇₃	—	4	4	no	—
93	C₂×Dic₇₃	—	8	2	no	—
94	C₂×Dic₇₃	—	8	2	no	—
95	Dic₁₄₆	—	4	4	no	—
96	Dic₁₄₆	—	4	4	no	—
97	Dic₁₄₆	—	8	2	no	—
98	Dic₁₄₆	—	8	2	no	—
99	C₈×C₇₃	—	4	1	no	—
100	C₈×C₇₃	#120	1	1	yes	characteristic
101	C₈×C₇₃	#121	1	2	yes	—
102	C₈×C₇₃	#127	1	1	yes	characteristic
103	#10596831	—	4	4	no	—
104	C₂²×C₇₃	—	2	2	no	—
105	C₂²×C₇₃	—	4	2	no	—
106	C₂²×C₇₃	—	4	1	no	—
107	C₂²×C₇₃	#449	1	2	yes	—
108	C₂²×C₇₃	#466	1	1	yes	characteristic
109	C₄×C₇₃	—	4	1	no	—
110	C₄×C₇₃	#392	1	1	yes	characteristic
111	C₄×C₇₃	#447	1	2	yes	—
112	C₄×C₇₃	#469	1	1	yes	characteristic
113	Dic₇₃	—	8	4	no	—
114	#13315	—	73	1	no	maximal, Sylow
115	C₂×C₇₃	—	2	2	no	—
116	C₂×C₇₃	—	8	1	no	—
117	C₂×C₇₃	#1999	1	1	yes	characteristic
118	C₂×C₇₃	#2222	1	2	yes	—
119	C₂²×Q₃₂	—	73	1	no	—
120	C₂×#473	—	73	2	no	—
121	C₂×#362	—	73	2	no	—
122	#2113	D₇₃	1	1	yes	characteristic
123	#1381	—	73	1	no	—
124	C₇₃	#13315	1	1	yes	characteristic, complemented, Sylow
125	C₂×#137	—	146	2	no	—
126	C₂²×Q₁₆	—	73	2	no	—
127	C₂×#131	C₂×D₇₃	1	1	yes	characteristic
128	C₂×Q₃₂	—	146	4	no	—
129	C₂×Q₃₂	—	146	2	no	—
130	C₂×M₃₂	C₂×D₇₃	1	1	yes	characteristic
131	C₂²×C₁₆	C₂×D₇₃	1	1	yes	characteristic
132	#473	—	146	4	no	—
133	#473	—	146	4	no	—
134	C₂×#108	—	73	2	no	—
135	C₂×#101	—	146	2	no	—
136	#362	—	146	4	no	—
137	C₂²⋊C₁₆	—	2	2	no	—
138	C₂×#41	D₂₉₂	1	1	yes	characteristic
139	C₂²×Q₈	—	146	2	no	—
140	#137	—	292	4	no	—
141	#137	—	146	8	no	—
142	C₂×Q₁₆	—	292	2	no	—
143	C₂×Q₁₆	—	73	4	no	—
144	C₂×Q₁₆	—	146	2	no	—
145	C₂×Q₁₆	—	146	2	no	—
146	C₂×Q₁₆	—	146	2	no	—
147	C₂×Q₁₆	—	146	2	no	—
148	C₂×Q₁₆	—	146	2	no	—
149	C₂×SD₁₆	—	292	2	no	—
150	#131	—	2	2	no	—
151	#131	—	2	2	no	—
152	C₂×M₁₆	—	2	1	no	—
153	C₂×M₁₆	—	146	2	no	—
154	C₂×M₁₆	D₂₉₂	1	1	yes	characteristic
155	C₂²×C₈	—	2	1	no	—
156	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
157	Q₃₂	—	146	8	no	—
158	M₃₂	—	2	2	no	—
159	C₂×C₁₆	—	2	2	no	—
160	C₂×C₁₆	—	2	1	no	—
161	C₂×C₁₆	C₂²⋊D₇₃	1	2	yes	—
162	#108	—	73	4	no	—
163	#108	—	146	2	no	—
164	#101	—	146	8	no	—
165	#41	—	2	2	no	—
166	#41	—	2	2	no	—
167	C₂×Q₈	—	292	2	no	—
168	C₂×Q₈	—	292	2	no	—
169	C₂×Q₈	—	292	2	no	—
170	C₂×Q₈	—	292	2	no	—
171	C₂×Q₈	—	292	2	no	—
172	C₂×Q₈	—	146	4	no	—
173	C₂×Q₈	D₅₈₄	1	1	yes	characteristic
174	C₂×D₄	—	2	1	no	—
175	C₂×D₄	D₅₈₄	1	1	yes	characteristic
176	C₂²×C₄	—	2	1	no	—
177	C₂²×C₄	—	292	2	no	—
178	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
179	Q₁₆	—	292	8	no	—
180	Q₁₆	—	292	2	no	—
181	Q₁₆	—	292	2	no	—
182	Q₁₆	—	146	4	no	—
183	Q₁₆	—	146	4	no	—
184	SD₁₆	—	292	8	no	—
185	M₁₆	—	2	2	no	—
186	M₁₆	—	4	2	no	—
187	M₁₆	—	292	2	no	—
188	M₁₆	—	146	4	no	—
189	C₂×C₈	—	2	1	no	—
190	C₂×C₈	—	4	1	no	—
191	C₂×C₈	—	4	1	no	—
192	C₂×C₈	—	292	2	no	—
193	C₂×C₈	D₄×D₇₃	1	2	yes	—
194	C₂×C₈	D₄×D₇₃	1	2	yes	—
195	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
196	C₂×C₈	#11924028	1	1	yes	characteristic
197	C₁₆	—	2	2	no	—
198	C₁₆	—	4	1	no	—
199	C₂³	—	2	1	no	—
200	C₂³	#14556613	1	1	yes	characteristic
201	Q₈	—	2	2	no	—
202	Q₈	—	292	4	no	—
203	Q₈	—	292	4	no	—
204	Q₈	—	584	2	no	—
205	Q₈	—	584	2	no	—
206	D₄	—	2	2	no	—
207	D₄	—	4	2	no	—
208	C₂×C₄	—	2	1	no	—
209	C₂×C₄	—	4	1	no	—
210	C₂×C₄	—	4	1	no	—
211	C₂×C₄	—	292	4	no	—
212	C₂×C₄	—	584	2	no	—
213	C₂×C₄	—	584	2	no	—
214	C₂×C₄	#14556561	1	2	yes	—
215	C₂×C₄	#14556565	1	1	yes	characteristic
216	C₂×C₄	C₂×D₅₈₄	1	1	yes	characteristic
217	C₂×C₄	#14556619	1	2	yes	—
218	C₈	—	4	1	no	—
219	C₈	—	292	4	no	—
220	C₈	#14556559	1	1	yes	characteristic
221	C₈	#14556564	1	2	yes	—
222	C₈	#14556587	1	1	yes	characteristic
223	C₂²	—	2	2	no	—
224	C₂²	—	4	2	no	—
225	C₂²	—	4	1	no	—
226	C₂²	#17988734	1	2	yes	—
227	C₂²	#17988823	1	1	yes	characteristic
228	C₄	—	4	1	no	—
229	C₄	—	584	4	no	—
230	C₄	#17988496	1	1	yes	characteristic
231	C₄	#17988723	1	2	yes	—
232	C₄	#17988840	1	1	yes	characteristic
233	C₂	—	2	2	no	—
234	C₂	—	8	1	no	—
235	C₂	#22610929	1	1	yes	characteristic
236	C₂	#22612056	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×Dic₅₈₄

C₂

yes

maximal, characteristic, complemented

C₂×#17988862

C₂

yes

maximal

C₂×#17988404

C₂

yes

maximal, complemented

#22608025

C₂

yes

maximal, characteristic, complemented

C₇₃×#2113

C₂

yes

maximal, characteristic

C₂×#14556621

—

C₂²×Dic₂₉₂

C₂²

yes

—

C₂×Dic₅₈₄

—

C₂×Dic₅₈₄

—

#17988862

—

#17988862

—

C₂×#14556527

C₂²

yes

—

C₂×#14556509

—

#17988404

—

C₂×#131×C₇₃

C₂²

yes

characteristic

C₂×M₃₂×C₇₃

C₂²

yes

characteristic

C₂²×C₁₆×C₇₃

C₂²

yes

characteristic

C₂²⋊C₁₆×C₇₃

—

C₂²×Dic₁₄₆

—

#14556621

—

#14556621

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

D₄

yes

—

C₂×#11924018

—

C₂×#11924016

—

C₂×#11924012

—

Dic₅₈₄

—

#14556527

—

#14556527

D₄

yes

—

#14556509

—

C₂×#41×C₇₃

D₄

yes

characteristic

#131×C₇₃

—

#131×C₇₃

—

C₂×M₁₆×C₇₃

—

C₂×M₁₆×C₇₃

D₄

yes

characteristic

C₂²×C₈×C₇₃

—

C₂²×C₈×C₇₃

C₂³

yes

characteristic

M₃₂×C₇₃

—

C₂×C₁₆×C₇₃

—

C₂×C₁₆×C₇₃

—

C₂×C₁₆×C₇₃

D₄

yes

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂²×Dic₇₃

—

Dic₂₉₂

—

Dic₂₉₂

—

Dic₂₉₂

—

Dic₂₉₂

—

—

—

—

—

—

#41×C₇₃

—

#41×C₇₃

—

C₂×Q₈×C₇₃

D₈

yes

characteristic

C₂×D₄×C₇₃

—

C₂×D₄×C₇₃

D₈

yes

characteristic

C₂²×C₄×C₇₃

—

C₂²×C₄×C₇₃

C₂×D₄

yes

characteristic

M₁₆×C₇₃

—

M₁₆×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

C₂×D₄

yes

—

C₂×C₈×C₇₃

C₂×D₄

yes

—

C₂×C₈×C₇₃

C₂×D₄

yes

characteristic

C₂×C₈×C₇₃

#41

yes

characteristic

C₁₆×C₇₃

—

C₁₆×C₇₃

—

C₂³×C₇₃

—

C₂³×C₇₃

#135

yes

characteristic

Q₈×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

#120

yes

—

C₂×C₄×C₇₃

#121

yes

characteristic

C₂×C₄×C₇₃

C₂×D₈

yes

characteristic

C₂×C₄×C₇₃

AGL(1,ℤ/8)

yes

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

C₈×C₇₃

—

100

C₈×C₇₃

#120

yes

characteristic

101

C₈×C₇₃

#121

yes

—

102

C₈×C₇₃

#127

yes

characteristic

103

#10596831

—

104

C₂²×C₇₃

—

105

C₂²×C₇₃

—

106

C₂²×C₇₃

—

107

C₂²×C₇₃

#449

yes

—

108

C₂²×C₇₃

#466

yes

characteristic

109

C₄×C₇₃

—

110

C₄×C₇₃

#392

yes

characteristic

111

C₄×C₇₃

#447

yes

—

112

C₄×C₇₃

#469

yes

characteristic

113

Dic₇₃

—

114

#13315

—

maximal, Sylow

115

C₂×C₇₃

—

116

C₂×C₇₃

—

117

C₂×C₇₃

#1999

yes

characteristic

118

C₂×C₇₃

#2222

yes

—

119

C₂²×Q₃₂

—

120

C₂×#473

—

121

C₂×#362

—

122

#2113

D₇₃

yes

characteristic

123

#1381

—

124

C₇₃

#13315

yes

characteristic, complemented, Sylow

125

C₂×#137

—

146

—

126

C₂²×Q₁₆

—

127

C₂×#131

C₂×D₇₃

yes

characteristic

128

C₂×Q₃₂

—

146

—

129

C₂×Q₃₂

—

146

—

130

C₂×M₃₂

C₂×D₇₃

yes

characteristic

131

C₂²×C₁₆

C₂×D₇₃

yes

characteristic

132

#473

—

146

—

133

#473

—

146

—

134

C₂×#108

—

135

C₂×#101

—

146

—

136

#362

—

146

—

137

C₂²⋊C₁₆

—

138

C₂×#41

D₂₉₂

yes

characteristic

139

C₂²×Q₈

—

146

—

140

#137

—

292

—

141

#137

—

146

—

142

C₂×Q₁₆

—

292

—

143

C₂×Q₁₆

—

144

C₂×Q₁₆

—

146

—

145

C₂×Q₁₆

—

146

—

146

C₂×Q₁₆

—

146

—

147

C₂×Q₁₆

—

146

—

148

C₂×Q₁₆

—

146

—

149

C₂×SD₁₆

—

292

—

150

#131

—

151

#131

—

152

C₂×M₁₆

—

153

C₂×M₁₆

—

146

—

154

C₂×M₁₆

D₂₉₂

yes

characteristic

155

C₂²×C₈

—

156

C₂²×C₈

C₂²×D₇₃

yes

characteristic

157

Q₃₂

—

146

—

158

M₃₂

—

159

C₂×C₁₆

—

160

C₂×C₁₆

—

161

C₂×C₁₆

C₂²⋊D₇₃

yes

—

162

#108

—

163

#108

—

146

—

164

#101

—

146

—

165

#41

—

166

#41

—

167

C₂×Q₈

—

292

—

168

C₂×Q₈

—

292

—

169

C₂×Q₈

—

292

—

170

C₂×Q₈

—

292

—

171

C₂×Q₈

—

292

—

172

C₂×Q₈

—

146

—

173

C₂×Q₈

D₅₈₄

yes

characteristic

174

C₂×D₄

—

175

C₂×D₄

D₅₈₄

yes

characteristic

176

C₂²×C₄

—

177

C₂²×C₄

—

292

—

178

C₂²×C₄

C₂×D₂₉₂

yes

characteristic

179

Q₁₆

—

292

—

180

Q₁₆

—

292

—

181

Q₁₆

—

292

—

182

Q₁₆

—

146

—

183

Q₁₆

—

146

—

184

SD₁₆

—

292

—

185

M₁₆

—

186

M₁₆

—

187

M₁₆

—

292

—

188

M₁₆

—

146

—

189

C₂×C₈

—

190

C₂×C₈

—

191

C₂×C₈

—

192

C₂×C₈

—

292

—

193

C₂×C₈

D₄×D₇₃

yes

—

194

C₂×C₈

D₄×D₇₃

yes

—

195

C₂×C₈

C₂×C₂²⋊D₇₃

yes

characteristic

196

C₂×C₈

#11924028

yes

characteristic

197

C₁₆

—

198

C₁₆

—

199

C₂³

—

200

C₂³

#14556613

yes

characteristic

201

Q₈

—

202

Q₈

—

292

—

203

Q₈

—

292

—

204

Q₈

—

584

—

205

Q₈

—

584

—

206

D₄

—

207

D₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

292

—

212

C₂×C₄

—

584

—

213

C₂×C₄

—

584

—

214

C₂×C₄

#14556561

yes

—

215

C₂×C₄

#14556565

yes

characteristic

216

C₂×C₄

C₂×D₅₈₄

yes

characteristic

217

C₂×C₄

#14556619

yes

—

218

C₈

—

219

C₈

—

292

—

220

C₈

#14556559

yes

characteristic

221

C₈

#14556564

yes

—

222

C₈

#14556587

yes

characteristic

223

C₂²

—

224

C₂²

—

225

C₂²

—

226

C₂²

#17988734

yes

—

227

C₂²

#17988823

yes

characteristic

228

C₄

—

229

C₄

—

584

—

230

C₄

#17988496

yes

characteristic

231

C₄

#17988723

yes

—

232

C₄

#17988840

yes

characteristic

233

C₂

—

234

C₂

—

235

C₂

#22610929

yes

characteristic

236

C₂

#22612056

yes

—

	subgroup	G/H
center	C₂²	#17988823
commutator, cosocle	C₂²×C₈×C₇₃	C₂³
Frattini	C₂²×C₈	C₂²×D₇₃
Fitting	C₇₃×#2113	C₂
socle	C₂²×C₇₃	#466
prime radical	C₂×#41×C₇₃	D₄
hypercenter	#2113	D₇₃
hypocenter	C₇₃	#13315
LCS	G ▷ C₂²×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ #2113

subgroup

G/H

center

C₂²

#17988823

commutator, cosocle

C₂²×C₈×C₇₃

C₂³

Frattini

C₂²×C₈

C₂²×D₇₃

Fitting

C₇₃×#2113

C₂

socle

C₂²×C₇₃

#466

prime radical

C₂×#41×C₇₃

D₄

D₇₃

C₇₃

G ▷ C₂²×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ #2113

N	H ≅ G/N	type
1. C₂²×Dic₅₈₄	C₂	semidirect
3. C₂×#17988404	C₂	semidirect
4. #22608025	C₂	semidirect
124. C₇₃	#13315	semidirect

H ≅ G/N

type

1. C₂²×Dic₅₈₄

C₂

semidirect

3. C₂×#17988404

C₂

semidirect

4. #22608025

C₂

semidirect

124. C₇₃

#13315

semidirect

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

subgroup	index
C₂²×Dic₅₈₄	2
C₂×#17988862	2
C₂×#17988404	2
#22608025	2
C₇₃×#2113	2
#13315	73

subgroup

index

C₂²×Dic₅₈₄

C₇₃×#2113

Subgroups — #33004748

Conjugacy classes of subgroups

Complements

Maximal subgroups