Group #25110487 — subgroups

Subgroups — #25110487

Order 11008.

810 conjugacy classes of subgroups; only the 211 normal subgroups are shown.

normal subgroups only

This group has 810 conjugacy classes of subgroups — too many to draw. Only its 211 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	#19145023	C₂	1	1	yes	maximal, characteristic
2	#19143314	C₂	1	2	yes	maximal, complemented
3	#19135427	C₂	1	2	yes	maximal, complemented
4	#19134921	C₂	1	8	yes	maximal, complemented
5	#19134733	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₃×#1746	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#13063347	C₂²	1	4	yes	—
8	C₂×#13063331	C₂²	1	4	yes	—
9	#14583449	C₂²	1	2	yes	—
10	#14583283	C₄	1	4	yes	complemented
11	#14583279	C₄	1	1	yes	characteristic, complemented
12	#14583276	C₄	1	1	yes	characteristic, complemented
13	#14583272	C₄	1	2	yes	complemented
14	#14582972	—	2	8	no	—
15	#14582923	C₂²	1	2	yes	—
16	C₂×#13063253	C₂²	1	8	yes	—
17	#14582865	C₂²	1	4	yes	—
18	#14582664	C₂²	1	4	yes	—
19	C₂×#97×C₄₃	C₂²	1	1	yes	characteristic
20	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
21	C₄₃×#376	C₂²	1	1	yes	characteristic
22	C₄₃×#336	C₂²	1	4	yes	—
23	C₂×#10621898	C₂³	1	4	yes	—
24	#13063347	—	4	8	no	—
25	C₂×Dic₁₇₂	C₂×C₄	1	4	yes	—
26	C₂×#10621873	C₂×C₄	1	8	yes	—
27	C₂×D₃₄₄	C₂×C₄	1	4	yes	—
28	#13063331	—	4	8	no	—
29	C₂×#10621877	C₂³	1	4	yes	—
30	C₂×#10621872	—	2	4	no	—
31	C₂×C₈×D₄₃	—	2	4	no	—
32	#13063325	C₂×C₄	1	2	yes	—
33	#13063322	C₂×C₄	1	2	yes	—
34	#13063313	C₂×C₄	1	4	yes	—
35	#13063299	—	2	4	no	—
36	C₄×D₁₇₂	—	2	4	no	—
37	C₄⋊(C₄₃⋊C₈)	—	2	4	no	—
38	#13063253	—	4	8	no	—
39	(C₂×D₄₃)⋊C₈	—	2	8	no	—
40	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
41	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
42	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
43	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
44	#97×C₄₃	D₄	1	4	yes	—
45	C₄×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
46	C₄×C₈×C₄₃	C₂×C₄	1	1	yes	characteristic
47	C₄×C₈×C₄₃	C₂×C₄	1	2	yes	—
48	#95×C₄₃	—	2	2	no	—
49	C₂²×C₄×C₄₃	—	2	2	no	—
50	C₂²×C₄×C₄₃	#41	1	2	yes	—
51	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
52	C₂×C₂²⋊D₄₃	—	2	4	no	—
53	#10621898	—	2	8	no	—
54	#10621898	—	2	8	no	—
55	C₂×D₁₇₂	—	2	4	no	—
56	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
57	C₂×C₄×D₄₃	—	2	4	no	—
58	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
59	C₂×C₈×C₄₃	—	2	4	no	—
60	C₂×C₈×C₄₃	—	2	4	no	—
61	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
62	C₂×C₈×C₄₃	C₂²×C₄	1	2	yes	—
63	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
64	C₄²×C₄₃	—	2	4	no	—
65	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
66	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
67	C₄²×C₄₃	C₂×D₄	1	2	yes	—
68	(C₂×D₄₃)⋊C₄	—	2	8	no	—
69	C₄⋊Dic₄₃	—	2	4	no	—
70	#10621877	—	2	8	no	—
71	C₂×C₄₃⋊C₈	—	2	4	no	—
72	Dic₁₇₂	—	4	4	no	—
73	D₃₄₄	—	4	4	no	—
74	#10621873	—	4	8	no	—
75	#10621872	—	4	8	no	—
76	C₈×D₄₃	—	4	8	no	—
77	C₂³×C₄₃	C₂×#41	1	1	yes	characteristic
78	C₂²×D₄₃	—	2	4	no	—
79	C₂×C₄×C₄₃	—	4	2	no	—
80	C₂×C₄×C₄₃	—	4	4	no	—
81	C₂×C₄×C₄₃	—	4	2	no	—
82	C₂×C₄×C₄₃	C₄×D₄	1	2	yes	—
83	C₂×C₄×C₄₃	C₄×D₄	1	2	yes	—
84	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
85	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
86	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
87	C₂²⋊D₄₃	—	4	8	no	—
88	C₂×Dic₄₃	—	2	4	no	—
89	D₁₇₂	—	2	8	no	—
90	D₁₇₂	—	8	4	no	—
91	C₄×D₄₃	—	4	4	no	—
92	C₄×D₄₃	—	4	4	no	—
93	Dic₈₆	—	2	8	no	—
94	C₈×C₄₃	—	2	2	no	—
95	C₈×C₄₃	—	2	2	no	—
96	C₈×C₄₃	—	2	4	no	—
97	C₄₃⋊C₈	—	4	4	no	—
98	#22282	—	43	1	no	maximal, Sylow
99	C₂²×C₄₃	—	2	2	no	—
100	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
101	C₂²×C₄₃	#540	1	2	yes	—
102	C₂×D₄₃	—	4	4	no	—
103	C₂×D₄₃	—	4	8	no	—
104	C₄×C₄₃	—	2	2	no	—
105	C₄×C₄₃	—	2	2	no	—
106	C₄×C₄₃	—	8	2	no	—
107	C₄×C₄₃	#518	1	2	yes	—
108	C₄×C₄₃	#535	1	2	yes	—
109	Dic₄₃	—	4	4	no	—
110	#3147	—	43	1	no	—
111	#2932	—	43	2	no	—
112	#1963	—	43	2	no	—
113	#1876	—	43	8	no	—
114	#1837	—	43	1	no	—
115	#1746	D₄₃	1	1	yes	characteristic, complemented
116	C₂×C₄₃	—	2	2	no	—
117	C₂×C₄₃	#2328	1	1	yes	characteristic
118	C₂×C₄₃	#2957	1	2	yes	—
119	D₄₃	—	8	4	no	—
120	C₂×#135	—	43	4	no	—
121	C₂×#131	—	43	4	no	—
122	#532	—	43	2	no	—
123	#495	—	43	4	no	—
124	#494	—	43	1	no	—
125	#493	—	43	1	no	—
126	#492	—	43	2	no	—
127	#435	—	86	8	no	—
128	#423	—	43	2	no	—
129	C₂×#104	—	43	8	no	—
130	#408	—	43	4	no	—
131	C₂×#97	C₂×D₄₃	1	1	yes	characteristic
132	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
133	#376	C₂×D₄₃	1	1	yes	characteristic
134	#341	—	43	4	no	—
135	#336	C₂×D₄₃	1	4	yes	—
136	C₄₃	#22282	1	1	yes	characteristic, complemented, Sylow
137	C₂×#41	—	43	4	no	—
138	#135	—	172	8	no	—
139	C₂×Q₁₆	—	43	4	no	—
140	C₂×SD₁₆	—	43	8	no	—
141	C₂×D₈	—	43	4	no	—
142	#131	—	172	8	no	—
143	C₂×M₁₆	—	43	4	no	—
144	C₂×M₁₆	—	86	4	no	—
145	C₂²×C₈	—	86	4	no	—
146	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
147	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
148	C₄⋊Q₈	—	43	2	no	—
149	#127	—	43	2	no	—
150	#124	—	43	4	no	—
151	#121	—	86	4	no	—
152	C₄×D₄	—	86	4	no	—
153	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
154	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
155	C₄⋊C₈	—	86	4	no	—
156	#104	—	172	8	no	—
157	C₂²⋊C₈	—	86	8	no	—
158	#97	D₁₇₂	1	4	yes	—
159	C₄×C₈	C₄×D₄₃	1	1	yes	characteristic
160	C₄×C₈	C₄×D₄₃	1	1	yes	characteristic
161	C₄×C₈	C₄×D₄₃	1	2	yes	—
162	#95	—	2	2	no	—
163	#41	—	86	8	no	—
164	#41	—	86	8	no	—
165	C₂×Q₈	—	43	4	no	—
166	C₂×D₄	—	43	4	no	—
167	C₂×D₄	—	86	4	no	—
168	C₂×D₄	—	86	4	no	—
169	C₂²×C₄	—	2	2	no	—
170	C₂²×C₄	—	86	4	no	—
171	C₂²×C₄	#10621898	1	2	yes	—
172	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
173	Q₁₆	—	172	4	no	—
174	SD₁₆	—	172	8	no	—
175	D₈	—	172	4	no	—
176	M₁₆	—	86	8	no	—
177	M₁₆	—	172	8	no	—
178	C₂×C₈	—	2	4	no	—
179	C₂×C₈	—	2	4	no	—
180	C₂×C₈	—	86	4	no	—
181	C₂×C₈	—	172	8	no	—
182	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
183	C₂×C₈	C₂×C₄×D₄₃	1	2	yes	—
184	C₂×C₈	C₂×D₁₇₂	1	4	yes	—
185	C₄⋊C₄	—	86	4	no	—
186	C₂²⋊C₄	—	86	8	no	—
187	C₄²	—	2	4	no	—
188	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
189	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
190	C₄²	C₂×D₁₇₂	1	2	yes	—
191	C₂³	—	86	4	no	—
192	C₂³	C₂×#10621898	1	1	yes	characteristic
193	Q₈	—	86	8	no	—
194	D₄	—	86	8	no	—
195	D₄	—	344	4	no	—
196	D₄	—	172	8	no	—
197	C₂×C₄	—	4	2	no	—
198	C₂×C₄	—	4	4	no	—
199	C₂×C₄	—	4	2	no	—
200	C₂×C₄	—	86	4	no	—
201	C₂×C₄	—	172	4	no	—
202	C₂×C₄	—	172	4	no	—
203	C₂×C₄	C₄×D₁₇₂	1	2	yes	—
204	C₂×C₄	C₄×D₁₇₂	1	2	yes	—
205	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
206	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
207	C₂×C₄	#13063371	1	4	yes	—
208	C₈	—	2	2	no	—
209	C₈	—	2	2	no	—
210	C₈	—	2	4	no	—
211	C₈	—	172	4	no	—
212	C₂²	—	2	2	no	—
213	C₂²	—	172	4	no	—
214	C₂²	—	172	8	no	—
215	C₂²	C₂×C₄×D₁₇₂	1	1	yes	characteristic
216	C₂²	#14583504	1	2	yes	—
217	C₄	—	2	2	no	—
218	C₄	—	2	2	no	—
219	C₄	—	8	2	no	—
220	C₄	—	172	4	no	—
221	C₄	#14583373	1	2	yes	—
222	C₄	#14583468	1	2	yes	—
223	C₂	—	2	2	no	—
224	C₂	—	344	4	no	—
225	C₂	#19137320	1	1	yes	characteristic
226	C₂	#19143513	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#19145023

C₂

yes

maximal, characteristic

#19143314

C₂

yes

maximal, complemented

#19135427

C₂

yes

maximal, complemented

#19134921

C₂

yes

maximal, complemented

#19134733

C₂

yes

maximal, characteristic, complemented

C₄₃×#1746

C₂

yes

maximal, characteristic, complemented

C₂×#13063347

C₂²

yes

—

C₂×#13063331

C₂²

yes

—

#14583449

C₂²

yes

—

#14583283

C₄

yes

complemented

#14583279

C₄

yes

characteristic, complemented

#14583276

C₄

yes

characteristic, complemented

#14583272

C₄

yes

complemented

#14582972

—

#14582923

C₂²

yes

—

C₂×#13063253

C₂²

yes

—

#14582865

C₂²

yes

—

#14582664

C₂²

yes

—

C₂×#97×C₄₃

C₂²

yes

characteristic

C₂×C₄×C₈×C₄₃

C₂²

yes

characteristic

C₄₃×#376

C₂²

yes

characteristic

C₄₃×#336

C₂²

yes

—

C₂×#10621898

C₂³

yes

—

#13063347

—

C₂×Dic₁₇₂

C₂×C₄

yes

—

C₂×#10621873

C₂×C₄

yes

—

C₂×D₃₄₄

C₂×C₄

yes

—

#13063331

—

C₂×#10621877

C₂³

yes

—

C₂×#10621872

—

C₂×C₈×D₄₃

—

#13063325

C₂×C₄

yes

—

#13063322

C₂×C₄

yes

—

#13063313

C₂×C₄

yes

—

#13063299

—

C₄×D₁₇₂

—

C₄⋊(C₄₃⋊C₈)

—

#13063253

—

(C₂×D₄₃)⋊C₈

—

C₂²×C₈×C₄₃

C₂³

yes

—

C₂²×C₈×C₄₃

C₂³

yes

—

C₂×C₄²×C₄₃

C₂³

yes

—

C₂×C₄²×C₄₃

C₂³

yes

characteristic

#97×C₄₃

D₄

yes

—

C₄×C₈×C₄₃

C₂×C₄

yes

characteristic

C₄×C₈×C₄₃

C₂×C₄

yes

characteristic

C₄×C₈×C₄₃

C₂×C₄

yes

—

#95×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

#41

yes

—

C₂²×C₄×C₄₃

C₂⁴

yes

characteristic

C₂×C₂²⋊D₄₃

—

#10621898

—

#10621898

—

C₂×D₁₇₂

—

C₂×D₁₇₂

C₂²×C₄

yes

—

C₂×C₄×D₄₃

—

C₂×Dic₈₆

C₂²×C₄

yes

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

C₂²×C₄

yes

—

C₂×C₈×C₄₃

C₂²×C₄

yes

—

C₂×C₈×C₄₃

C₂×D₄

yes

—

C₄²×C₄₃

—

C₄²×C₄₃

C₂²×C₄

yes

characteristic

C₄²×C₄₃

C₂²×C₄

yes

characteristic

C₄²×C₄₃

C₂×D₄

yes

—

(C₂×D₄₃)⋊C₄

—

C₄⋊Dic₄₃

—

#10621877

—

C₂×C₄₃⋊C₈

—

Dic₁₇₂

—

D₃₄₄

—

#10621873

—

#10621872

—

C₈×D₄₃

—

C₂³×C₄₃

C₂×#41

yes

characteristic

C₂²×D₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₄×D₄

yes

—

C₂×C₄×C₄₃

C₄×D₄

yes

—

C₂×C₄×C₄₃

C₂³×C₄

yes

characteristic

C₂×C₄×C₄₃

C₂²×D₄

yes

characteristic

C₂×C₄×C₄₃

H(5,𝔽₂)

yes

—

C₂²⋊D₄₃

—

C₂×Dic₄₃

—

D₁₇₂

—

D₁₇₂

—

C₄×D₄₃

—

C₄×D₄₃

—

Dic₈₆

—

C₈×C₄₃

—

C₈×C₄₃

—

C₈×C₄₃

—

C₄₃⋊C₈

—

#22282

—

maximal, Sylow

C₂²×C₄₃

—

100

C₂²×C₄₃

C₂×C₄×D₄

yes

characteristic

101

C₂²×C₄₃

#540

yes

—

102

C₂×D₄₃

—

103

C₂×D₄₃

—

104

C₄×C₄₃

—

105

C₄×C₄₃

—

106

C₄×C₄₃

—

107

C₄×C₄₃

#518

yes

—

108

C₄×C₄₃

#535

yes

—

109

Dic₄₃

—

110

#3147

—

111

#2932

—

112

#1963

—

113

#1876

—

114

#1837

—

115

#1746

D₄₃

yes

characteristic, complemented

116

C₂×C₄₃

—

117

C₂×C₄₃

#2328

yes

characteristic

118

C₂×C₄₃

#2957

yes

—

119

D₄₃

—

120

C₂×#135

—

121

C₂×#131

—

122

#532

—

123

#495

—

124

#494

—

125

#493

—

126

#492

—

127

#435

—

128

#423

—

129

C₂×#104

—

130

#408

—

131

C₂×#97

C₂×D₄₃

yes

characteristic

132

C₂×C₄×C₈

C₂×D₄₃

yes

characteristic

133

#376

C₂×D₄₃

yes

characteristic

134

#341

—

135

#336

C₂×D₄₃

yes

—

136

C₄₃

#22282

yes

characteristic, complemented, Sylow

137

C₂×#41

—

138

#135

—

172

—

139

C₂×Q₁₆

—

140

C₂×SD₁₆

—

141

C₂×D₈

—

142

#131

—

172

—

143

C₂×M₁₆

—

144

C₂×M₁₆

—

145

C₂²×C₈

—

146

C₂²×C₈

C₂²×D₄₃

yes

—

147

C₂²×C₈

C₂²×D₄₃

yes

—

148

C₄⋊Q₈

—

149

#127

—

150

#124

—

151

#121

—

152

C₄×D₄

—

153

C₂×C₄²

C₂²×D₄₃

yes

—

154

C₂×C₄²

C₂²×D₄₃

yes

characteristic

155

C₄⋊C₈

—

156

#104

—

172

—

157

C₂²⋊C₈

—

158

#97

D₁₇₂

yes

—

159

C₄×C₈

C₄×D₄₃

yes

characteristic

160

C₄×C₈

C₄×D₄₃

yes

characteristic

161

C₄×C₈

C₄×D₄₃

yes

—

162

#95

—

163

#41

—

164

#41

—

165

C₂×Q₈

—

166

C₂×D₄

—

167

C₂×D₄

—

168

C₂×D₄

—

169

C₂²×C₄

—

170

C₂²×C₄

—

171

C₂²×C₄

#10621898

yes

—

172

C₂²×C₄

C₂³×D₄₃

yes

characteristic

173

Q₁₆

—

172

—

174

SD₁₆

—

172

—

175

D₈

—

172

—

176

M₁₆

—

177

M₁₆

—

172

—

178

C₂×C₈

—

179

C₂×C₈

—

180

C₂×C₈

—

181

C₂×C₈

—

172

—

182

C₂×C₈

C₂×C₄×D₄₃

yes

—

183

C₂×C₈

C₂×C₄×D₄₃

yes

—

184

C₂×C₈

C₂×D₁₇₂

yes

—

185

C₄⋊C₄

—

186

C₂²⋊C₄

—

187

C₄²

—

188

C₄²

C₂×C₄×D₄₃

yes

characteristic

189

C₄²

C₂×C₄×D₄₃

yes

characteristic

190

C₄²

C₂×D₁₇₂

yes

—

191

C₂³

—

192

C₂³

C₂×#10621898

yes

characteristic

193

Q₈

—

194

D₄

—

195

D₄

—

344

—

196

D₄

—

172

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

172

—

202

C₂×C₄

—

172

—

203

C₂×C₄

C₄×D₁₇₂

yes

—

204

C₂×C₄

C₄×D₁₇₂

yes

—

205

C₂×C₄

C₂²×C₄×D₄₃

yes

characteristic

206

C₂×C₄

C₂²×D₁₇₂

yes

characteristic

207

C₂×C₄

#13063371

yes

—

208

C₈

—

209

C₈

—

210

C₈

—

211

C₈

—

172

—

212

C₂²

—

213

C₂²

—

172

—

214

C₂²

—

172

—

215

C₂²

C₂×C₄×D₁₇₂

yes

characteristic

216

C₂²

#14583504

yes

—

217

C₄

—

218

C₄

—

219

C₄

—

220

C₄

—

172

—

221

C₄

#14583373

yes

—

222

C₄

#14583468

yes

—

223

C₂

—

224

C₂

—

344

—

225

C₂

#19137320

yes

characteristic

226

C₂

#19143513

yes

—

	subgroup	G/H
center	C₂×C₄	C₂²×D₁₇₂
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1746	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	#19145023	C₂
cosocle	C₂²×C₄×C₄₃	C₂⁴
hypercenter	#1746	D₄₃
hypocenter	C₄₃	#22282
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#97 ◁ #1746

subgroup

G/H

center

C₂×C₄

C₂²×D₁₇₂

commutator

C₂×C₄×C₄₃

C₂³×C₄

Frattini

C₂²×C₄

C₂³×D₄₃

Fitting

C₄₃×#1746

C₂

socle

C₂²×C₄₃

C₂×C₄×D₄

prime radical

#19145023

C₂

cosocle

C₂²×C₄×C₄₃

C₂⁴

D₄₃

C₄₃

G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂×C₄ ◁ C₂×#97 ◁ #1746

N	H ≅ G/N	type
2. #19143314	C₂	semidirect
3. #19135427	C₂	semidirect
4. #19134921	C₂	semidirect
5. #19134733	C₂	semidirect
6. C₄₃×#1746	C₂	semidirect
10. #14583283	C₄	semidirect
11. #14583279	C₄	semidirect
12. #14583276	C₄	semidirect
13. #14583272	C₄	semidirect
115. #1746	D₄₃	semidirect
136. C₄₃	#22282	semidirect

H ≅ G/N

type

2. #19143314

C₂

semidirect

3. #19135427

C₂

semidirect

4. #19134921

C₂

semidirect

5. #19134733

C₂

semidirect

6. C₄₃×#1746

C₂

semidirect

10. #14583283

C₄

semidirect

11. #14583279

C₄

semidirect

12. #14583276

C₄

semidirect

13. #14583272

C₄

semidirect

115. #1746

D₄₃

semidirect

136. C₄₃

#22282

semidirect

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

subgroup	index
#19145023	2
#19143314	2
#19135427	2
#19134921	2
#19134733	2
C₄₃×#1746	2
#22282	43

subgroup

index

C₄₃×#1746

Subgroups — #25110487

Conjugacy classes of subgroups

Complements

Maximal subgroups