Group #25249567 — subgroups

Subgroups — #25249567

Order 11008.

1102 conjugacy classes of subgroups; only the 351 normal subgroups are shown.

normal subgroups only

This group has 1102 conjugacy classes of subgroups — too many to draw. Only its 351 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×#14583716	C₂	1	1	yes	maximal, characteristic
2	#19147698	C₂	1	1	yes	maximal, characteristic, complemented
3	#19136342	C₂	1	6	yes	maximal, complemented
4	C₂×#14582714	C₂	1	6	yes	maximal, complemented
5	C₄₃×#2916	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#13063372	—	2	1	no	—
7	#14583716	—	2	4	no	—
8	#14583716	C₄	1	8	yes	—
9	C₂×#13063358	—	2	3	no	—
10	C₂×#13063347	C₂²	1	3	yes	—
11	C₂²×Dic₁₇₂	C₂²	1	3	yes	—
12	#14583316	—	2	4	no	—
13	C₂×#13063265	C₂²	1	6	yes	—
14	#14582714	C₂²	1	12	yes	—
15	#14582711	C₂²	1	4	yes	—
16	C₄₃×#568	—	2	1	no	—
17	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
18	C₄₃×#430	—	2	3	no	—
19	C₂×#108×C₄₃	C₂²	1	6	yes	—
20	#13063372	—	2	8	no	—
21	#13063372	—	4	4	no	—
22	C₂×#10621898	—	2	3	no	—
23	C₂×#10621900	—	4	3	no	—
24	C₂²×Dic₈₆	—	2	3	no	—
25	C₂×Q₈×D₄₃	—	4	1	no	—
26	#13063358	—	2	24	no	—
27	#13063347	—	2	6	no	—
28	#13063347	C₂×C₄	1	12	yes	—
29	C₂×Dic₁₇₂	—	2	3	no	—
30	C₂×Dic₁₇₂	—	2	6	no	—
31	C₂×Dic₁₇₂	C₂×C₄	1	12	yes	—
32	C₂×Dic₁₇₂	C₂³	1	3	yes	—
33	C₂×#10621873	—	2	3	no	—
34	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
35	#13063265	—	2	6	no	—
36	#13063265	C₂³	1	4	yes	—
37	C₂×C₄₃⋊C₁₆	—	2	6	no	—
38	C₂×#41×C₄₃	D₄	1	1	yes	characteristic
39	#131×C₄₃	—	4	4	no	—
40	#131×C₄₃	C₂×C₄	1	4	yes	—
41	#131×C₄₃	D₄	1	4	yes	—
42	C₂×M₁₆×C₄₃	—	2	6	no	—
43	C₂×M₁₆×C₄₃	D₄	1	3	yes	—
44	C₂²×C₈×C₄₃	C₂³	1	3	yes	—
45	#108×C₄₃	—	2	6	no	—
46	#108×C₄₃	C₂³	1	4	yes	—
47	#41×C₄₃	C₂²⋊C₄	1	4	yes	—
48	#41×C₄₃	D₈	1	4	yes	—
49	C₂×Q₈×C₄₃	SD₁₆	1	1	yes	characteristic
50	C₂×D₄×C₄₃	SD₁₆	1	3	yes	—
51	C₂²×C₄×C₄₃	C₂×D₄	1	3	yes	—
52	C₂×C₂²⋊D₄₃	—	4	3	no	—
53	C₂²×Dic₄₃	—	4	3	no	—
54	Q₈×D₄₃	—	4	8	no	—
55	#10621900	—	4	24	no	—
56	#10621898	—	2	12	no	—
57	#10621898	—	4	6	no	—
58	C₂×D₁₇₂	—	2	1	no	—
59	C₂×C₄×D₄₃	—	4	3	no	—
60	C₂×Dic₈₆	—	2	12	no	—
61	C₂×Dic₈₆	—	2	3	no	—
62	C₂×Dic₈₆	—	4	6	no	—
63	C₂×Dic₈₆	—	4	3	no	—
64	M₁₆×C₄₃	—	2	4	no	—
65	M₁₆×C₄₃	—	4	6	no	—
66	M₁₆×C₄₃	C₂²⋊C₄	1	12	yes	—
67	C₂×C₈×C₄₃	—	4	6	no	—
68	C₂×C₈×C₄₃	C₂²×C₄	1	6	yes	—
69	C₂×C₈×C₄₃	C₂×D₄	1	6	yes	—
70	C₂×C₈×C₄₃	C₂×D₄	1	3	yes	—
71	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
72	Dic₁₇₂	—	2	12	no	—
73	Dic₁₇₂	—	2	3	no	—
74	Dic₁₇₂	C₂²×C₄	1	6	yes	—
75	D₃₄₄	—	2	1	no	—
76	D₃₄₄	C₂²×C₄	1	2	yes	—
77	#10621873	—	2	12	no	—
78	C₄₃⋊C₁₆	—	2	4	no	—
79	C₂³×C₄₃	C₂×SD₁₆	1	3	yes	—
80	C₂²×D₄₃	—	4	1	no	—
81	Q₈×C₄₃	#102	1	4	yes	—
82	D₄×C₄₃	#102	1	12	yes	—
83	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	6	yes	—
84	C₂×C₄×C₄₃	C₂×D₈	1	6	yes	—
85	C₂×C₄×C₄₃	C₂×SD₁₆	1	3	yes	—
86	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
87	C₂²⋊D₄₃	—	4	12	no	—
88	C₂×Dic₄₃	—	4	3	no	—
89	C₂×Dic₄₃	—	4	12	no	—
90	D₁₇₂	—	2	2	no	—
91	D₁₇₂	—	4	1	no	—
92	C₄×D₄₃	—	4	12	no	—
93	Dic₈₆	—	2	6	no	—
94	Dic₈₆	—	4	3	no	—
95	Dic₈₆	—	4	12	no	—
96	C₈×C₄₃	—	4	4	no	—
97	C₈×C₄₃	C₂×C₂²⋊C₄	1	6	yes	—
98	C₈×C₄₃	C₂³×C₄	1	1	yes	characteristic
99	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
100	#33393	—	43	1	no	maximal, Sylow
101	C₂²×C₄₃	—	4	3	no	—
102	C₂²×C₄₃	C₂×#102	1	6	yes	—
103	C₂²×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
104	C₂×D₄₃	—	4	2	no	—
105	C₂×D₄₃	—	8	2	no	—
106	C₄×C₄₃	C₂×#102	1	6	yes	—
107	C₄×C₄₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
108	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
109	Dic₄₃	—	4	6	no	—
110	C₂×#578	—	43	1	no	—
111	#3407	—	43	1	no	—
112	#2916	D₄₃	1	1	yes	characteristic, complemented
113	#2148	—	43	6	no	—
114	C₂×#362	—	43	6	no	—
115	C₂×C₄₃	—	2	1	no	—
116	C₂×C₄₃	—	2	6	no	—
117	C₂×C₄₃	C₂²×#102	1	1	yes	characteristic
118	D₄₃	—	8	2	no	—
119	C₂×2₋¹⁺⁴	—	86	1	no	—
120	#578	—	43	8	no	—
121	#578	—	86	4	no	—
122	C₂×#137	—	86	3	no	—
123	C₂×#135	—	43	3	no	—
124	C₂²×Q₁₆	—	43	3	no	—
125	#568	—	2	1	no	—
126	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
127	#504	—	86	4	no	—
128	C₂×M₃₂	—	43	6	no	—
129	#430	—	2	3	no	—
130	C₂×#108	C₂×D₄₃	1	6	yes	—
131	#362	—	43	12	no	—
132	#361	—	43	4	no	—
133	C₄₃	#33393	1	1	yes	characteristic, complemented, Sylow
134	2₋¹⁺⁴	—	86	8	no	—
135	2₋¹⁺⁴	—	172	4	no	—
136	C₂×#41	—	86	3	no	—
137	C₂×#41	—	172	3	no	—
138	C₂×#41	C₂²⋊D₄₃	1	1	yes	characteristic
139	C₂²×Q₈	—	86	3	no	—
140	C₂²×Q₈	—	172	1	no	—
141	#137	—	86	24	no	—
142	#135	—	43	12	no	—
143	#135	—	86	6	no	—
144	C₂×Q₁₆	—	43	12	no	—
145	C₂×Q₁₆	—	43	3	no	—
146	C₂×Q₁₆	—	86	6	no	—
147	C₂×Q₁₆	—	86	3	no	—
148	C₂×SD₁₆	—	86	3	no	—
149	C₂×D₈	—	43	1	no	—
150	#131	—	4	4	no	—
151	#131	C₄×D₄₃	1	4	yes	—
152	#131	D₁₇₂	1	4	yes	—
153	C₂×M₁₆	—	2	6	no	—
154	C₂×M₁₆	C₂²⋊D₄₃	1	3	yes	—
155	C₂²×C₈	C₂²×D₄₃	1	3	yes	—
156	M₃₂	—	43	4	no	—
157	M₃₂	—	86	6	no	—
158	C₂×C₁₆	—	86	6	no	—
159	#108	—	2	6	no	—
160	#108	C₂²×D₄₃	1	4	yes	—
161	#41	—	86	12	no	—
162	#41	—	172	24	no	—
163	#41	—	172	6	no	—
164	#41	(C₂×D₄₃)⋊C₄	1	4	yes	—
165	#41	#10621882	1	4	yes	—
166	C₂×Q₈	—	86	12	no	—
167	C₂×Q₈	—	86	3	no	—
168	C₂×Q₈	—	172	8	no	—
169	C₂×Q₈	—	172	6	no	—
170	C₂×Q₈	—	172	3	no	—
171	C₂×Q₈	#10621884	1	1	yes	characteristic
172	C₂×D₄	—	86	1	no	—
173	C₂×D₄	—	172	3	no	—
174	C₂×D₄	#10621884	1	3	yes	—
175	C₂²×C₄	—	172	3	no	—
176	C₂²×C₄	—	172	3	no	—
177	C₂²×C₄	C₂×C₂²⋊D₄₃	1	3	yes	—
178	Q₁₆	—	43	6	no	—
179	Q₁₆	—	86	12	no	—
180	Q₁₆	—	86	3	no	—
181	SD₁₆	—	86	12	no	—
182	D₈	—	43	2	no	—
183	D₈	—	86	1	no	—
184	M₁₆	—	2	4	no	—
185	M₁₆	—	4	6	no	—
186	M₁₆	(C₂×D₄₃)⋊C₄	1	12	yes	—
187	C₂×C₈	—	4	6	no	—
188	C₂×C₈	C₂×C₄×D₄₃	1	6	yes	—
189	C₂×C₈	C₂×D₁₇₂	1	6	yes	—
190	C₂×C₈	C₂×C₂²⋊D₄₃	1	3	yes	—
191	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
192	C₁₆	—	86	4	no	—
193	C₂³	—	172	1	no	—
194	C₂³	C₂×#10621884	1	3	yes	—
195	Q₈	—	86	6	no	—
196	Q₈	—	172	12	no	—
197	Q₈	—	172	3	no	—
198	Q₈	#13063245	1	4	yes	—
199	D₄	—	86	2	no	—
200	D₄	—	172	12	no	—
201	D₄	—	172	1	no	—
202	D₄	#13063245	1	12	yes	—
203	C₂×C₄	—	172	12	no	—
204	C₂×C₄	—	172	3	no	—
205	C₂×C₄	—	172	12	no	—
206	C₂×C₄	C₂×(C₂×D₄₃)⋊C₄	1	6	yes	—
207	C₂×C₄	C₂×#10621882	1	6	yes	—
208	C₂×C₄	C₂×#10621884	1	3	yes	—
209	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
210	C₈	—	4	4	no	—
211	C₈	C₂×(C₂×D₄₃)⋊C₄	1	6	yes	—
212	C₈	C₂²×C₄×D₄₃	1	1	yes	characteristic
213	C₈	C₂²×D₁₇₂	1	1	yes	characteristic
214	C₂²	—	4	3	no	—
215	C₂²	—	344	2	no	—
216	C₂²	—	172	2	no	—
217	C₂²	C₂×#13063245	1	6	yes	—
218	C₂²	C₂²×#10621884	1	1	yes	characteristic
219	C₄	—	172	6	no	—
220	C₄	C₂×#13063245	1	6	yes	—
221	C₄	C₂²×(C₂×D₄₃)⋊C₄	1	1	yes	characteristic
222	C₄	C₂²×#10621882	1	1	yes	characteristic
223	C₂	—	2	1	no	—
224	C₂	—	2	6	no	—
225	C₂	—	344	2	no	—
226	C₂	C₂²×#13063245	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14583716

C₂

yes

maximal, characteristic

#19147698

C₂

yes

maximal, characteristic, complemented

#19136342

C₂

yes

maximal, complemented

C₂×#14582714

C₂

yes

maximal, complemented

C₄₃×#2916

C₂

yes

maximal, characteristic, complemented

C₂×#13063372

—

#14583716

—

#14583716

C₄

yes

—

C₂×#13063358

—

C₂×#13063347

C₂²

yes

—

C₂²×Dic₁₇₂

C₂²

yes

—

#14583316

—

C₂×#13063265

C₂²

yes

—

#14582714

C₂²

yes

—

#14582711

C₂²

yes

—

C₄₃×#568

—

C₂×#131×C₄₃

C₂²

yes

characteristic

C₄₃×#430

—

C₂×#108×C₄₃

C₂²

yes

—

—

—

—

—

C₂²×Dic₈₆

—

C₂×Q₈×D₄₃

—

#13063358

—

#13063347

—

#13063347

C₂×C₄

yes

—

C₂×Dic₁₇₂

—

C₂×Dic₁₇₂

—

C₂×Dic₁₇₂

C₂×C₄

yes

—

C₂×Dic₁₇₂

C₂³

yes

—

C₂×#10621873

—

C₂×D₃₄₄

C₂³

yes

characteristic

#13063265

—

#13063265

C₂³

yes

—

C₂×C₄₃⋊C₁₆

—

C₂×#41×C₄₃

D₄

yes

characteristic

#131×C₄₃

—

#131×C₄₃

C₂×C₄

yes

—

#131×C₄₃

D₄

yes

—

C₂×M₁₆×C₄₃

—

C₂×M₁₆×C₄₃

D₄

yes

—

C₂²×C₈×C₄₃

C₂³

yes

—

#108×C₄₃

—

#108×C₄₃

C₂³

yes

—

#41×C₄₃

C₂²⋊C₄

yes

—

#41×C₄₃

D₈

yes

—

C₂×Q₈×C₄₃

SD₁₆

yes

characteristic

C₂×D₄×C₄₃

SD₁₆

yes

—

C₂²×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₂²⋊D₄₃

—

C₂²×Dic₄₃

—

Q₈×D₄₃

—

#10621900

—

#10621898

—

#10621898

—

C₂×D₁₇₂

—

C₂×C₄×D₄₃

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

C₂×Dic₈₆

—

M₁₆×C₄₃

—

M₁₆×C₄₃

—

M₁₆×C₄₃

C₂²⋊C₄

yes

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

C₂²×C₄

yes

—

C₂×C₈×C₄₃

C₂×D₄

yes

—

C₂×C₈×C₄₃

C₂×D₄

yes

—

C₂×C₈×C₄₃

C₂⁴

yes

characteristic

Dic₁₇₂

—

Dic₁₇₂

—

Dic₁₇₂

C₂²×C₄

yes

—

D₃₄₄

—

D₃₄₄

C₂²×C₄

yes

—

#10621873

—

C₄₃⋊C₁₆

—

C₂³×C₄₃

C₂×SD₁₆

yes

—

C₂²×D₄₃

—

Q₈×C₄₃

#102

yes

—

D₄×C₄₃

#102

yes

—

C₂×C₄×C₄₃

C₂×C₂²⋊C₄

yes

—

C₂×C₄×C₄₃

C₂×D₈

yes

—

C₂×C₄×C₄₃

C₂×SD₁₆

yes

—

C₂×C₄×C₄₃

C₂²×D₄

yes

characteristic

C₂²⋊D₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

D₁₇₂

—

D₁₇₂

—

C₄×D₄₃

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

C₈×C₄₃

—

C₈×C₄₃

C₂×C₂²⋊C₄

yes

—

C₈×C₄₃

C₂³×C₄

yes

characteristic

C₈×C₄₃

C₂²×D₄

yes

characteristic

100

#33393

—

maximal, Sylow

101

C₂²×C₄₃

—

102

C₂²×C₄₃

C₂×#102

yes

—

103

C₂²×C₄₃

C₂²×SD₁₆

yes

characteristic

104

C₂×D₄₃

—

105

C₂×D₄₃

—

106

C₄×C₄₃

C₂×#102

yes

—

107

C₄×C₄₃

C₂²×C₂²⋊C₄

yes

characteristic

108

C₄×C₄₃

C₂²×D₈

yes

characteristic

109

Dic₄₃

—

110

C₂×#578

—

111

#3407

—

112

#2916

D₄₃

yes

characteristic, complemented

113

#2148

—

114

C₂×#362

—

115

C₂×C₄₃

—

116

C₂×C₄₃

—

117

C₂×C₄₃

C₂²×#102

yes

characteristic

118

D₄₃

—

119

C₂×2₋¹⁺⁴

—

120

#578

—

121

#578

—

122

C₂×#137

—

123

C₂×#135

—

124

C₂²×Q₁₆

—

125

#568

—

126

C₂×#131

C₂×D₄₃

yes

characteristic

127

#504

—

128

C₂×M₃₂

—

129

#430

—

130

C₂×#108

C₂×D₄₃

yes

—

131

#362

—

132

#361

—

133

C₄₃

#33393

yes

characteristic, complemented, Sylow

134

2₋¹⁺⁴

—

135

2₋¹⁺⁴

—

172

—

136

C₂×#41

—

137

C₂×#41

—

172

—

138

C₂×#41

C₂²⋊D₄₃

yes

characteristic

139

C₂²×Q₈

—

140

C₂²×Q₈

—

172

—

141

#137

—

142

#135

—

143

#135

—

144

C₂×Q₁₆

—

145

C₂×Q₁₆

—

146

C₂×Q₁₆

—

147

C₂×Q₁₆

—

148

C₂×SD₁₆

—

149

C₂×D₈

—

150

#131

—

151

#131

C₄×D₄₃

yes

—

152

#131

D₁₇₂

yes

—

153

C₂×M₁₆

—

154

C₂×M₁₆

C₂²⋊D₄₃

yes

—

155

C₂²×C₈

C₂²×D₄₃

yes

—

156

M₃₂

—

157

M₃₂

—

158

C₂×C₁₆

—

159

#108

—

160

#108

C₂²×D₄₃

yes

—

161

#41

—

162

#41

—

172

—

163

#41

—

172

—

164

#41

(C₂×D₄₃)⋊C₄

yes

—

165

#41

#10621882

yes

—

166

C₂×Q₈

—

167

C₂×Q₈

—

168

C₂×Q₈

—

172

—

169

C₂×Q₈

—

172

—

170

C₂×Q₈

—

172

—

171

C₂×Q₈

#10621884

yes

characteristic

172

C₂×D₄

—

173

C₂×D₄

—

172

—

174

C₂×D₄

#10621884

yes

—

175

C₂²×C₄

—

172

—

176

C₂²×C₄

—

172

—

177

C₂²×C₄

C₂×C₂²⋊D₄₃

yes

—

178

Q₁₆

—

179

Q₁₆

—

180

Q₁₆

—

181

SD₁₆

—

182

D₈

—

183

D₈

—

184

M₁₆

—

185

M₁₆

—

186

M₁₆

(C₂×D₄₃)⋊C₄

yes

—

187

C₂×C₈

—

188

C₂×C₈

C₂×C₄×D₄₃

yes

—

189

C₂×C₈

C₂×D₁₇₂

yes

—

190

C₂×C₈

C₂×C₂²⋊D₄₃

yes

—

191

C₂×C₈

C₂³×D₄₃

yes

characteristic

192

C₁₆

—

193

C₂³

—

172

—

194

C₂³

C₂×#10621884

yes

—

195

Q₈

—

196

Q₈

—

172

—

197

Q₈

—

172

—

198

Q₈

#13063245

yes

—

199

D₄

—

200

D₄

—

172

—

201

D₄

—

172

—

202

D₄

#13063245

yes

—

203

C₂×C₄

—

172

—

204

C₂×C₄

—

172

—

205

C₂×C₄

—

172

—

206

C₂×C₄

C₂×(C₂×D₄₃)⋊C₄

yes

—

207

C₂×C₄

C₂×#10621882

yes

—

208

C₂×C₄

C₂×#10621884

yes

—

209

C₂×C₄

C₂²×C₂²⋊D₄₃

yes

characteristic

210

C₈

—

211

C₈

C₂×(C₂×D₄₃)⋊C₄

yes

—

212

C₈

C₂²×C₄×D₄₃

yes

characteristic

213

C₈

C₂²×D₁₇₂

yes

characteristic

214

C₂²

—

215

C₂²

—

344

—

216

C₂²

—

172

—

217

C₂²

C₂×#13063245

yes

—

218

C₂²

C₂²×#10621884

yes

characteristic

219

C₄

—

172

—

220

C₄

C₂×#13063245

yes

—

221

C₄

C₂²×(C₂×D₄₃)⋊C₄

yes

characteristic

222

C₄

C₂²×#10621882

yes

characteristic

223

C₂

—

224

C₂

—

225

C₂

—

344

—

226

C₂

C₂²×#13063245

yes

characteristic

	subgroup	G/H
center	C₂	C₂²×#13063245
commutator	C₈×C₄₃	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2916	C₂
socle	C₂×C₄₃	C₂²×#102
prime radical	C₂×#14583716	C₂
cosocle	C₂×C₈×C₄₃	C₂⁴
hypercenter	#2916	D₄₃
hypocenter	C₄₃	#33393
LCS	G ▷ C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂×#41 ◁ C₂×#131 ◁ #2916

subgroup

G/H

center

C₂

C₂²×#13063245

commutator

C₈×C₄₃

C₂³×C₄

Frattini

C₂×C₈

C₂³×D₄₃

Fitting

C₄₃×#2916

C₂

socle

C₂×C₄₃

C₂²×#102

prime radical

C₂×#14583716

C₂

cosocle

C₂×C₈×C₄₃

C₂⁴

D₄₃

C₄₃

G ▷ C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂ ◁ C₂×#41 ◁ C₂×#131 ◁ #2916

N	H ≅ G/N	type
2. #19147698	C₂	semidirect
3. #19136342	C₂	semidirect
4. C₂×#14582714	C₂	semidirect
5. C₄₃×#2916	C₂	semidirect
112. #2916	D₄₃	semidirect
133. C₄₃	#33393	semidirect

H ≅ G/N

type

2. #19147698

C₂

semidirect

3. #19136342

C₂

semidirect

4. C₂×#14582714

C₂

semidirect

5. C₄₃×#2916

C₂

semidirect

112. #2916

D₄₃

semidirect

133. C₄₃

#33393

semidirect

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

subgroup	index
C₂×#14583716	2
#19147698	2
#19136342	2
C₂×#14582714	2
C₄₃×#2916	2
#33393	43

subgroup

index

C₄₃×#2916

Subgroups — #25249567

Conjugacy classes of subgroups

Complements

Maximal subgroups