Group #24983750 — subgroups

Subgroups — #24983750

Order 11008.

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

normal subgroups only

This group has 320 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	C₂×C₂²⋊(C₄₃⋊C₁₆)	C₂	1	1	yes	maximal, characteristic
2	#19134633	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄₃×#341	C₂	1	1	yes	maximal, characteristic
4	C₂²×C₄₃⋊C₁₆	—	2	1	no	—
5	C₂×#13063261	C₄	1	2	yes	—
6	#14582863	—	2	1	no	—
7	C₂²⋊(C₄₃⋊C₁₆)	—	2	1	no	—
8	C₂²⋊(C₄₃⋊C₁₆)	C₄	1	2	yes	—
9	#14582664	—	2	1	no	—
10	C₂²×M₁₆×C₄₃	—	2	1	no	—
11	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
12	C₄₃×#341	—	2	1	no	—
13	C₄₃×#341	C₄	1	2	yes	—
14	C₂×#10621877	—	2	2	no	—
15	C₂×C₄₃⋊C₁₆	—	2	2	no	—
16	C₂×C₄₃⋊C₁₆	—	4	2	no	—
17	#13063261	—	4	2	no	—
18	C₂²⋊(C₄₃⋊C₈)	—	4	1	no	—
19	C₂²⋊(C₄₃⋊C₈)	—	4	1	no	—
20	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
21	C₂×M₁₆×C₄₃	—	2	4	no	—
22	C₂×M₁₆×C₄₃	—	2	2	no	—
23	C₂×M₁₆×C₄₃	—	4	2	no	—
24	C₂×M₁₆×C₄₃	—	4	1	no	—
25	C₂²×C₈×C₄₃	—	4	2	no	—
26	C₂²×C₈×C₄₃	—	4	1	no	—
27	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
28	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
29	C₂²×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
30	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
31	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
32	C₂²×C₈×C₄₃	Q₈	1	1	yes	characteristic
33	C₂⁴×C₄₃	Q₁₆	1	1	yes	characteristic
34	C₂²×C₄×C₄₃	—	2	2	no	—
35	C₂²×C₄×C₄₃	—	2	2	no	—
36	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
37	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
38	C₂²×C₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
39	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
40	C₂²×C₄×C₄₃	SD₁₆	1	1	yes	characteristic
41	C₂²×C₄×C₄₃	SD₁₆	1	1	yes	characteristic
42	M₁₆×C₄₃	—	2	4	no	—
43	M₁₆×C₄₃	—	4	4	no	—
44	M₁₆×C₄₃	—	4	2	no	—
45	C₂×C₈×C₄₃	—	2	2	no	—
46	C₂×C₈×C₄₃	—	2	2	no	—
47	C₂×C₈×C₄₃	—	4	1	no	—
48	C₂×C₈×C₄₃	—	4	1	no	—
49	C₂×C₈×C₄₃	—	4	1	no	—
50	C₂×C₈×C₄₃	—	4	1	no	—
51	C₂×C₈×C₄₃	—	4	4	no	—
52	C₂×C₈×C₄₃	—	4	2	no	—
53	C₂×C₈×C₄₃	C₄²	1	1	yes	characteristic
54	C₂×C₈×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
55	C₂×C₈×C₄₃	C₄⋊C₄	1	1	yes	characteristic
56	C₂×C₈×C₄₃	C₄⋊C₄	1	1	yes	characteristic
57	#10621877	—	4	2	no	—
58	#10621877	—	4	2	no	—
59	C₂×C₄₃⋊C₈	—	4	2	no	—
60	C₄₃⋊C₁₆	—	4	2	no	—
61	C₂³×C₄₃	—	2	2	no	—
62	C₂³×C₄₃	—	2	2	no	—
63	C₂³×C₄₃	—	4	1	no	—
64	C₂³×C₄₃	#103	1	1	yes	characteristic
65	C₂³×C₄₃	#103	1	1	yes	characteristic
66	C₂³×C₄₃	#107	1	1	yes	characteristic
67	C₂×C₄×C₄₃	—	2	2	no	—
68	C₂×C₄×C₄₃	—	2	2	no	—
69	C₂×C₄×C₄₃	—	2	2	no	—
70	C₂×C₄×C₄₃	—	2	1	no	—
71	C₂×C₄×C₄₃	—	2	1	no	—
72	C₂×C₄×C₄₃	—	2	1	no	—
73	C₂×C₄×C₄₃	—	2	1	no	—
74	C₂×C₄×C₄₃	#95	1	1	yes	characteristic
75	C₂×C₄×C₄₃	#99	1	2	yes	—
76	C₂×C₄×C₄₃	#102	1	1	yes	characteristic
77	C₂×C₄×C₄₃	#102	1	1	yes	characteristic
78	C₂×C₄×C₄₃	#104	1	2	yes	—
79	C₂×C₄×C₄₃	#106	1	1	yes	characteristic
80	C₈×C₄₃	—	2	1	no	—
81	C₈×C₄₃	—	2	1	no	—
82	C₈×C₄₃	—	2	1	no	—
83	C₈×C₄₃	—	2	1	no	—
84	C₈×C₄₃	—	4	4	no	—
85	C₄₃⋊C₈	—	8	2	no	—
86	#7261	—	43	1	no	maximal, Sylow
87	C₂²×C₄₃	—	2	1	no	—
88	C₂²×C₄₃	—	2	1	no	—
89	C₂²×C₄₃	—	2	1	no	—
90	C₂²×C₄₃	—	2	1	no	—
91	C₂²×C₄₃	—	2	1	no	—
92	C₂²×C₄₃	—	2	1	no	—
93	C₂²×C₄₃	—	2	1	no	—
94	C₂²×C₄₃	—	4	4	no	—
95	C₂²×C₄₃	#328	1	2	yes	—
96	C₂²×C₄₃	#340	1	1	yes	characteristic
97	C₂²×C₄₃	#368	1	2	yes	—
98	C₄×C₄₃	—	2	1	no	—
99	C₄×C₄₃	—	2	1	no	—
100	C₄×C₄₃	#327	1	2	yes	—
101	C₄×C₄₃	#339	1	1	yes	characteristic
102	C₄×C₄₃	#342	1	1	yes	characteristic
103	C₂×C₂²⋊C₁₆	—	43	1	no	—
104	#1810	—	43	1	no	—
105	C₂×#341	D₄₃	1	1	yes	characteristic
106	C₂×C₄₃	—	2	2	no	—
107	C₂×C₄₃	—	2	2	no	—
108	C₂×C₄₃	—	4	1	no	—
109	C₂×C₄₃	#1294	1	1	yes	characteristic
110	C₂×C₄₃	#1381	1	1	yes	characteristic
111	C₂×C₄₃	#1388	1	1	yes	characteristic
112	C₂²×M₁₆	—	2	1	no	—
113	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
114	C₂²×C₁₆	—	86	1	no	—
115	C₂×#108	—	43	2	no	—
116	#407	—	86	1	no	—
117	C₂²⋊C₁₆	—	43	2	no	—
118	C₂²⋊C₁₆	—	86	1	no	—
119	#341	—	2	1	no	—
120	#341	—	86	1	no	—
121	#341	Dic₄₃	1	2	yes	—
122	C₄₃	#7261	1	1	yes	characteristic, complemented, Sylow
123	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
124	C₂×M₁₆	—	2	4	no	—
125	C₂×M₁₆	—	2	2	no	—
126	C₂×M₁₆	—	4	2	no	—
127	C₂×M₁₆	—	4	1	no	—
128	C₂×M₁₆	—	86	2	no	—
129	C₂²×C₈	—	4	2	no	—
130	C₂²×C₈	—	4	1	no	—
131	C₂²×C₈	Dic₈₆	1	1	yes	characteristic
132	C₂²×C₈	C₄×D₄₃	1	1	yes	characteristic
133	C₂²×C₈	C₄×D₄₃	1	1	yes	characteristic
134	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
135	C₂²×C₈	C₂×Dic₄₃	1	1	yes	characteristic
136	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
137	C₂×C₁₆	—	86	2	no	—
138	C₂×C₁₆	—	172	2	no	—
139	#108	—	172	2	no	—
140	C₂²⋊C₈	—	172	1	no	—
141	C₂²⋊C₈	—	172	1	no	—
142	C₂⁴	#10621885	1	1	yes	characteristic
143	C₂²×C₄	—	2	2	no	—
144	C₂²×C₄	—	2	2	no	—
145	C₂²×C₄	Dic₄₃⋊C₄	1	1	yes	characteristic
146	C₂²×C₄	(C₂×D₄₃)⋊C₄	1	1	yes	characteristic
147	C₂²×C₄	#10621882	1	1	yes	characteristic
148	C₂²×C₄	#10621883	1	1	yes	characteristic
149	C₂²×C₄	#10621884	1	1	yes	characteristic
150	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
151	M₁₆	—	2	4	no	—
152	M₁₆	—	4	4	no	—
153	M₁₆	—	4	2	no	—
154	M₁₆	—	172	2	no	—
155	M₁₆	—	172	2	no	—
156	C₂×C₈	—	2	2	no	—
157	C₂×C₈	—	2	2	no	—
158	C₂×C₈	—	4	1	no	—
159	C₂×C₈	—	4	1	no	—
160	C₂×C₈	—	4	1	no	—
161	C₂×C₈	—	4	1	no	—
162	C₂×C₈	—	4	4	no	—
163	C₂×C₈	—	4	2	no	—
164	C₂×C₈	—	172	2	no	—
165	C₂×C₈	C₄×Dic₄₃	1	1	yes	characteristic
166	C₂×C₈	Dic₄₃⋊C₄	1	1	yes	characteristic
167	C₂×C₈	C₄⋊Dic₄₃	1	1	yes	characteristic
168	C₂×C₈	(C₂×D₄₃)⋊C₄	1	1	yes	characteristic
169	C₁₆	—	172	2	no	—
170	C₂³	—	2	2	no	—
171	C₂³	—	2	2	no	—
172	C₂³	—	4	1	no	—
173	C₂³	#13063248	1	1	yes	characteristic
174	C₂³	#13063249	1	1	yes	characteristic
175	C₂³	#13063258	1	1	yes	characteristic
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	2	2	no	—
178	C₂×C₄	—	2	2	no	—
179	C₂×C₄	—	2	1	no	—
180	C₂×C₄	—	2	1	no	—
181	C₂×C₄	—	2	1	no	—
182	C₂×C₄	—	2	1	no	—
183	C₂×C₄	C₄₃⋊#95	1	1	yes	characteristic
184	C₂×C₄	#13063239	1	2	yes	—
185	C₂×C₄	#13063245	1	1	yes	characteristic
186	C₂×C₄	#13063246	1	1	yes	characteristic
187	C₂×C₄	#13063253	1	2	yes	—
188	C₂×C₄	#13063256	1	1	yes	characteristic
189	C₈	—	2	1	no	—
190	C₈	—	2	1	no	—
191	C₈	—	2	1	no	—
192	C₈	—	2	1	no	—
193	C₈	—	4	4	no	—
194	C₈	—	344	2	no	—
195	C₂²	—	2	1	no	—
196	C₂²	—	2	1	no	—
197	C₂²	—	2	1	no	—
198	C₂²	—	2	1	no	—
199	C₂²	—	2	1	no	—
200	C₂²	—	2	1	no	—
201	C₂²	—	2	1	no	—
202	C₂²	—	4	4	no	—
203	C₂²	#14582635	1	2	yes	—
204	C₂²	#14582661	1	1	yes	characteristic
205	C₂²	#14582728	1	2	yes	—
206	C₄	—	2	1	no	—
207	C₄	—	2	1	no	—
208	C₄	#14582632	1	2	yes	—
209	C₄	#14582659	1	1	yes	characteristic
210	C₄	#14582665	1	1	yes	characteristic
211	C₂	—	2	2	no	—
212	C₂	—	2	2	no	—
213	C₂	—	4	1	no	—
214	C₂	#19132474	1	1	yes	characteristic
215	C₂	#19132688	1	1	yes	characteristic
216	C₂	#19132708	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₂²⋊(C₄₃⋊C₁₆)

C₂

yes

maximal, characteristic

#19134633

C₂

yes

maximal, characteristic

C₂×C₄₃×#341

C₂

yes

maximal, characteristic

C₂²×C₄₃⋊C₁₆

—

C₂×#13063261

C₄

yes

—

#14582863

—

C₂²⋊(C₄₃⋊C₁₆)

—

C₂²⋊(C₄₃⋊C₁₆)

C₄

yes

—

#14582664

—

C₂²×M₁₆×C₄₃

—

C₂³×C₈×C₄₃

C₂²

yes

characteristic

C₄₃×#341

—

C₄₃×#341

C₄

yes

—

C₂×#10621877

—

C₂×C₄₃⋊C₁₆

—

C₂×C₄₃⋊C₁₆

—

#13063261

—

C₂²⋊(C₄₃⋊C₈)

—

C₂²⋊(C₄₃⋊C₈)

—

C₂³×C₄×C₄₃

D₄

yes

characteristic

C₂×M₁₆×C₄₃

—

C₂×M₁₆×C₄₃

—

C₂×M₁₆×C₄₃

—

C₂×M₁₆×C₄₃

—

C₂²×C₈×C₄₃

—

C₂²×C₈×C₄₃

—

C₂²×C₈×C₄₃

C₂×C₄

yes

characteristic

C₂²×C₈×C₄₃

C₂×C₄

yes

characteristic

C₂²×C₈×C₄₃

C₂×C₄

yes

characteristic

C₂²×C₈×C₄₃

D₄

yes

characteristic

C₂²×C₈×C₄₃

D₄

yes

characteristic

C₂²×C₈×C₄₃

Q₈

yes

characteristic

C₂⁴×C₄₃

Q₁₆

yes

characteristic

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₄₃

C₄⋊C₄

yes

characteristic

C₂²×C₄×C₄₃

D₈

yes

characteristic

C₂²×C₄×C₄₃

SD₁₆

yes

characteristic

C₂²×C₄×C₄₃

SD₁₆

yes

characteristic

M₁₆×C₄₃

—

M₁₆×C₄₃

—

M₁₆×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

C₄²

yes

characteristic

C₂×C₈×C₄₃

C₂²⋊C₄

yes

characteristic

C₂×C₈×C₄₃

C₄⋊C₄

yes

characteristic

C₂×C₈×C₄₃

C₄⋊C₄

yes

characteristic

#10621877

—

#10621877

—

C₂×C₄₃⋊C₈

—

C₄₃⋊C₁₆

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

yes

C₂³×C₄₃

yes

C₂³×C₄₃

yes

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

#95

yes

characteristic

C₂×C₄×C₄₃

#99

yes

—

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

—

C₂×C₄×C₄₃

#106

yes

characteristic

C₈×C₄₃

—

C₈×C₄₃

—

C₈×C₄₃

—

C₈×C₄₃

—

C₈×C₄₃

—

C₄₃⋊C₈

—

#7261

—

maximal, Sylow

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

#328

yes

—

C₂²×C₄₃

#340

yes

characteristic

C₂²×C₄₃

#368

yes

—

C₄×C₄₃

—

C₄×C₄₃

—

100

C₄×C₄₃

#327

yes

—

101

C₄×C₄₃

#339

yes

characteristic

102

C₄×C₄₃

#342

yes

characteristic

103

C₂×C₂²⋊C₁₆

—

104

#1810

—

105

C₂×#341

D₄₃

yes

characteristic

106

C₂×C₄₃

—

107

C₂×C₄₃

—

108

C₂×C₄₃

—

109

C₂×C₄₃

#1294

yes

characteristic

110

C₂×C₄₃

#1381

yes

characteristic

111

C₂×C₄₃

#1388

yes

characteristic

112

C₂²×M₁₆

—

113

C₂³×C₈

C₂×D₄₃

yes

characteristic

114

C₂²×C₁₆

—

115

C₂×#108

—

116

#407

—

117

C₂²⋊C₁₆

—

118

C₂²⋊C₁₆

—

119

#341

—

120

#341

—

121

#341

Dic₄₃

yes

—

122

C₄₃

#7261

yes

characteristic, complemented, Sylow

123

C₂³×C₄

C₂²⋊D₄₃

yes

characteristic

124

C₂×M₁₆

—

125

C₂×M₁₆

—

126

C₂×M₁₆

—

127

C₂×M₁₆

—

128

C₂×M₁₆

—

129

C₂²×C₈

—

130

C₂²×C₈

—

131

C₂²×C₈

Dic₈₆

yes

characteristic

132

C₂²×C₈

C₄×D₄₃

yes

characteristic

133

C₂²×C₈

C₄×D₄₃

yes

characteristic

134

C₂²×C₈

D₁₇₂

yes

characteristic

135

C₂²×C₈

C₂×Dic₄₃

yes

characteristic

136

C₂²×C₈

C₂²⋊D₄₃

yes

characteristic

137

C₂×C₁₆

—

138

C₂×C₁₆

—

172

—

139

#108

—

172

—

140

C₂²⋊C₈

—

172

—

141

C₂²⋊C₈

—

172

—

142

C₂⁴

#10621885

yes

characteristic

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

Dic₄₃⋊C₄

yes

characteristic

146

C₂²×C₄

(C₂×D₄₃)⋊C₄

yes

characteristic

147

C₂²×C₄

#10621882

yes

characteristic

148

C₂²×C₄

#10621883

yes

characteristic

149

C₂²×C₄

#10621884

yes

characteristic

150

C₂²×C₄

C₂²⋊Dic₄₃

yes

characteristic

151

M₁₆

—

152

M₁₆

—

153

M₁₆

—

154

M₁₆

—

172

—

155

M₁₆

—

172

—

156

C₂×C₈

—

157

C₂×C₈

—

158

C₂×C₈

—

159

C₂×C₈

—

160

C₂×C₈

—

161

C₂×C₈

—

162

C₂×C₈

—

163

C₂×C₈

—

164

C₂×C₈

—

172

—

165

C₂×C₈

C₄×Dic₄₃

yes

characteristic

166

C₂×C₈

Dic₄₃⋊C₄

yes

characteristic

167

C₂×C₈

C₄⋊Dic₄₃

yes

characteristic

168

C₂×C₈

(C₂×D₄₃)⋊C₄

yes

characteristic

169

C₁₆

—

172

—

170

C₂³

—

171

C₂³

—

172

C₂³

—

173

C₂³

#13063248

yes

characteristic

174

C₂³

#13063249

yes

characteristic

175

C₂³

#13063258

yes

characteristic

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

C₄₃⋊#95

yes

characteristic

184

C₂×C₄

#13063239

yes

—

185

C₂×C₄

#13063245

yes

characteristic

186

C₂×C₄

#13063246

yes

characteristic

187

C₂×C₄

#13063253

yes

—

188

C₂×C₄

#13063256

yes

characteristic

189

C₈

—

190

C₈

—

191

C₈

—

192

C₈

—

193

C₈

—

194

C₈

—

344

—

195

C₂²

—

196

C₂²

—

197

C₂²

—

198

C₂²

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

#14582635

yes

—

204

C₂²

#14582661

yes

characteristic

205

C₂²

#14582728

yes

—

206

C₄

—

207

C₄

—

208

C₄

#14582632

yes

—

209

C₄

#14582659

yes

characteristic

210

C₄

#14582665

yes

characteristic

211

C₂

—

212

C₂

—

213

C₂

—

214

C₂

#19132474

yes

characteristic

215

C₂

#19132688

yes

characteristic

216

C₂

#19132708

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#13063245
commutator	C₂×C₈×C₄₃	C₄²
Frattini	C₂³×C₈	C₂×D₄₃
Fitting	C₂×C₄₃×#341	C₂
socle	C₂²×C₄₃	#340
prime radical	C₂⁴×C₄₃	Q₁₆
cosocle	C₂³×C₈×C₄₃	C₂²
hypercenter	C₂×#341	D₄₃
hypocenter	C₄₃	#7261
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ C₂×#341

subgroup

G/H

center

C₂×C₄

#13063245

commutator

C₂×C₈×C₄₃

C₄²

Frattini

C₂³×C₈

C₂×D₄₃

Fitting

C₂×C₄₃×#341

C₂

socle

C₂²×C₄₃

#340

prime radical

C₂⁴×C₄₃

Q₁₆

cosocle

C₂³×C₈×C₄₃

C₂²

D₄₃

C₄₃

G ▷ C₂×C₈×C₄₃ ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ C₂×#341

N	H ≅ G/N	type
122. C₄₃	#7261	semidirect

H ≅ G/N

type

122. C₄₃

#7261

semidirect

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

subgroup	index
C₂×C₂²⋊(C₄₃⋊C₁₆)	2
#19134633	2
C₂×C₄₃×#341	2
#7261	43

subgroup

index

C₂×C₂²⋊(C₄₃⋊C₁₆)

#19134633

C₂×C₄₃×#341

#7261

Subgroups — #24983750

Conjugacy classes of subgroups

Complements

Maximal subgroups