Group #25005510 — subgroups

Subgroups — #25005510

Order 11008.

1142 conjugacy classes of subgroups; only the 267 normal subgroups are shown.

normal subgroups only

This group has 1142 conjugacy classes of subgroups — too many to draw. Only its 267 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×#14582668	C₂	1	4	yes	maximal
2	#19134289	C₂	1	2	yes	maximal
3	C₂²×C₄⋊Q₈×C₄₃	C₂	1	1	yes	maximal, characteristic
4	C₂²×#10621877	C₂²	1	4	yes	—
5	#14582668	—	2	8	no	—
6	#14582654	—	2	4	no	—
7	C₂³×Q₈×C₄₃	C₄	1	2	yes	—
8	C₂×C₄⋊Q₈×C₄₃	—	2	8	no	—
9	C₂×C₄⋊Q₈×C₄₃	—	2	4	no	—
10	C₂²×C₄⋊C₄×C₄₃	C₄	1	2	yes	—
11	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
12	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
13	C₂×#10621877	—	2	4	no	—
14	C₂×#10621877	—	2	8	no	—
15	C₂×#10621877	—	2	8	no	—
16	C₂×#10621877	Q₈	1	8	yes	complemented
17	C₂²×C₄₃⋊C₈	—	2	4	no	—
18	C₂²×Q₈×C₄₃	—	2	8	no	—
19	C₂²×Q₈×C₄₃	—	2	4	no	—
20	C₂²×Q₈×C₄₃	—	4	8	no	—
21	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
22	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
23	C₂³×C₄×C₄₃	C₂×C₄	1	4	yes	—
24	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
25	C₄⋊Q₈×C₄₃	—	2	32	no	—
26	C₂×C₄⋊C₄×C₄₃	—	2	8	no	—
27	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
28	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
29	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
30	C₂×C₄⋊C₄×C₄₃	D₄	1	8	yes	—
31	C₂×C₄²×C₄₃	—	2	4	no	—
32	C₂×C₄²×C₄₃	D₄	1	4	yes	—
33	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
34	C₂×Q₈×C₄₃	—	2	16	no	—
35	C₂×Q₈×C₄₃	—	4	32	no	—
36	C₂×Q₈×C₄₃	—	4	8	no	—
37	C₂×Q₈×C₄₃	—	4	8	no	—
38	C₂²×C₄×C₄₃	—	2	4	no	—
39	C₂²×C₄×C₄₃	—	2	4	no	—
40	C₂²×C₄×C₄₃	—	2	2	no	—
41	C₂²×C₄×C₄₃	—	2	2	no	—
42	C₂²×C₄×C₄₃	—	2	4	no	—
43	C₂²×C₄×C₄₃	—	2	4	no	—
44	C₂²×C₄×C₄₃	—	4	8	no	—
45	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
46	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
47	C₂²×C₄×C₄₃	C₂²⋊C₄	1	8	yes	—
48	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
49	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
50	C₂²×C₄×C₄₃	C₂×Q₈	1	4	yes	—
51	C₂²×C₄×C₄₃	#41	1	4	yes	—
52	C₄⋊C₄×C₄₃	—	2	16	no	—
53	C₄⋊C₄×C₄₃	—	2	16	no	—
54	C₄²×C₄₃	—	2	8	no	—
55	#10621877	—	2	16	no	—
56	#10621877	—	4	8	no	—
57	C₂×C₄₃⋊C₈	—	2	8	no	—
58	C₂×C₄₃⋊C₈	—	4	4	no	—
59	C₂×C₄₃⋊C₈	—	4	4	no	—
60	C₂³×C₄₃	—	2	2	no	—
61	C₂³×C₄₃	—	2	2	no	—
62	C₂³×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
63	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
64	C₂³×C₄₃	C₄×Q₈	1	4	yes	—
65	Q₈×C₄₃	—	4	32	no	—
66	C₂×C₄×C₄₃	—	2	8	no	—
67	C₂×C₄×C₄₃	—	2	8	no	—
68	C₂×C₄×C₄₃	—	2	2	no	—
69	C₂×C₄×C₄₃	—	2	2	no	—
70	C₂×C₄×C₄₃	—	2	2	no	—
71	C₂×C₄×C₄₃	—	2	2	no	—
72	C₂×C₄×C₄₃	—	2	8	no	—
73	C₂×C₄×C₄₃	—	4	8	no	—
74	C₂×C₄×C₄₃	—	4	8	no	—
75	C₂×C₄×C₄₃	—	4	8	no	—
76	C₂×C₄×C₄₃	#100	1	4	yes	—
77	C₂×C₄×C₄₃	#101	1	4	yes	—
78	C₂×C₄×C₄₃	#120	1	4	yes	—
79	C₂×C₄×C₄₃	C₂²⋊Q₈	1	4	yes	—
80	C₂×C₄×C₄₃	C₂²⋊Q₈	1	8	yes	—
81	C₂×C₄×C₄₃	#124	1	2	yes	—
82	C₂×C₄×C₄₃	#124	1	4	yes	—
83	C₂×C₄×C₄₃	C₄⋊Q₈	1	4	yes	—
84	C₂×C₄×C₄₃	C₄⋊Q₈	1	2	yes	—
85	C₄₃⋊C₈	—	4	8	no	—
86	#11382	—	43	1	no	maximal, Sylow
87	C₂²×C₄₃	—	2	8	no	—
88	C₂²×C₄₃	—	2	2	no	—
89	C₂²×C₄₃	—	2	2	no	—
90	C₂²×C₄₃	#379	1	1	yes	characteristic
91	C₂²×C₄₃	#391	1	4	yes	—
92	C₂²×C₄₃	#391	1	2	yes	—
93	C₂²×C₄₃	C₂×#100	1	2	yes	—
94	C₂²×C₄₃	C₂×#101	1	2	yes	—
95	C₄×C₄₃	—	2	4	no	—
96	C₄×C₄₃	—	2	4	no	—
97	C₄×C₄₃	—	4	8	no	—
98	C₄×C₄₃	#393	1	4	yes	—
99	C₄×C₄₃	#395	1	4	yes	—
100	C₂²×C₄⋊Q₈	D₄₃	1	1	yes	characteristic
101	C₂×#343	—	43	4	no	—
102	#1728	—	43	2	no	—
103	C₂×C₄₃	—	2	4	no	—
104	C₂×C₄₃	#1446	1	1	yes	characteristic
105	C₂×C₄₃	#1783	1	1	yes	characteristic
106	C₂×C₄₃	#1784	1	1	yes	characteristic
107	C₂×C₄₃	#1997	1	4	yes	—
108	C₂³×Q₈	Dic₄₃	1	2	yes	—
109	C₂²×M₁₆	—	43	4	no	—
110	C₂×C₄⋊Q₈	—	2	8	no	—
111	C₂×C₄⋊Q₈	—	2	4	no	—
112	C₂²×C₄⋊C₄	Dic₄₃	1	2	yes	—
113	C₂²×C₄⋊C₄	C₂×D₄₃	1	2	yes	—
114	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
115	#343	—	86	8	no	—
116	#336	—	86	4	no	—
117	C₄₃	#11382	1	1	yes	characteristic, complemented, Sylow
118	C₂²×Q₈	—	2	8	no	—
119	C₂²×Q₈	—	2	4	no	—
120	C₂²×Q₈	—	4	8	no	—
121	C₂³×C₄	C₂×Dic₄₃	1	1	yes	characteristic
122	C₂³×C₄	C₂×Dic₄₃	1	1	yes	characteristic
123	C₂³×C₄	C₂×Dic₄₃	1	4	yes	—
124	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
125	C₂×M₁₆	—	43	8	no	—
126	C₂×M₁₆	—	86	4	no	—
127	C₂×M₁₆	—	86	8	no	—
128	C₂×M₁₆	—	86	8	no	—
129	C₂²×C₈	—	86	4	no	—
130	C₄⋊Q₈	—	2	32	no	—
131	C₂×C₄⋊C₄	—	2	8	no	—
132	C₂×C₄⋊C₄	—	2	4	no	—
133	C₂×C₄⋊C₄	—	2	4	no	—
134	C₂×C₄⋊C₄	—	2	4	no	—
135	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	8	yes	—
136	C₂×C₄²	—	2	4	no	—
137	C₂×C₄²	C₂²⋊D₄₃	1	4	yes	—
138	C₂⁴	C₂²×Dic₄₃	1	1	yes	characteristic
139	C₂×Q₈	—	2	16	no	—
140	C₂×Q₈	—	4	32	no	—
141	C₂×Q₈	—	4	8	no	—
142	C₂×Q₈	—	4	8	no	—
143	C₂²×C₄	—	2	2	no	—
144	C₂²×C₄	—	2	2	no	—
145	C₂²×C₄	—	2	4	no	—
146	C₂²×C₄	—	2	4	no	—
147	C₂²×C₄	—	2	4	no	—
148	C₂²×C₄	—	2	4	no	—
149	C₂²×C₄	—	4	8	no	—
150	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
151	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
152	C₂²×C₄	C₂²⋊Dic₄₃	1	8	yes	—
153	C₂²×C₄	Q₈×D₄₃	1	4	yes	—
154	C₂²×C₄	#10621902	1	4	yes	—
155	C₂²×C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
156	C₂²×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
157	M₁₆	—	86	16	no	—
158	M₁₆	—	172	8	no	—
159	C₂×C₈	—	86	8	no	—
160	C₂×C₈	—	172	4	no	—
161	C₂×C₈	—	172	4	no	—
162	C₄⋊C₄	—	2	16	no	—
163	C₄⋊C₄	—	2	16	no	—
164	C₄²	—	2	8	no	—
165	C₂³	—	2	2	no	—
166	C₂³	—	2	2	no	—
167	C₂³	C₂×C₂²⋊Dic₄₃	1	2	yes	—
168	C₂³	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
169	C₂³	Q₈×Dic₄₃	1	4	yes	—
170	Q₈	—	4	32	no	—
171	C₂×C₄	—	2	8	no	—
172	C₂×C₄	—	2	8	no	—
173	C₂×C₄	—	2	2	no	—
174	C₂×C₄	—	2	2	no	—
175	C₂×C₄	—	2	2	no	—
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	2	8	no	—
178	C₂×C₄	—	4	8	no	—
179	C₂×C₄	—	4	8	no	—
180	C₂×C₄	—	4	8	no	—
181	C₂×C₄	#13063242	1	4	yes	—
182	C₂×C₄	#13063244	1	4	yes	—
183	C₂×C₄	#13063294	1	4	yes	—
184	C₂×C₄	#13063301	1	4	yes	—
185	C₂×C₄	#13063301	1	8	yes	—
186	C₂×C₄	#13063314	1	2	yes	—
187	C₂×C₄	#13063314	1	4	yes	—
188	C₂×C₄	#13063323	1	4	yes	—
189	C₂×C₄	#13063323	1	2	yes	—
190	C₈	—	172	8	no	—
191	C₂²	—	2	2	no	—
192	C₂²	—	2	2	no	—
193	C₂²	—	2	8	no	—
194	C₂²	#14582755	1	1	yes	characteristic
195	C₂²	#14582806	1	4	yes	—
196	C₂²	#14582806	1	2	yes	—
197	C₂²	C₂×#13063242	1	2	yes	—
198	C₂²	C₂×#13063244	1	2	yes	—
199	C₄	—	2	4	no	—
200	C₄	—	2	4	no	—
201	C₄	—	4	8	no	—
202	C₄	#14582810	1	4	yes	—
203	C₄	#14582818	1	4	yes	—
204	C₂	—	2	4	no	—
205	C₂	#19132866	1	1	yes	characteristic
206	C₂	#19134516	1	1	yes	characteristic
207	C₂	#19134519	1	1	yes	characteristic
208	C₂	#19135585	1	4	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14582668

C₂

yes

maximal

#19134289

C₂

yes

maximal

C₂²×C₄⋊Q₈×C₄₃

C₂

yes

maximal, characteristic

C₂²×#10621877

C₂²

yes

—

#14582668

—

#14582654

—

C₂³×Q₈×C₄₃

C₄

yes

—

C₂×C₄⋊Q₈×C₄₃

—

C₂×C₄⋊Q₈×C₄₃

—

C₂²×C₄⋊C₄×C₄₃

C₄

yes

—

C₂²×C₄⋊C₄×C₄₃

C₂²

yes

—

C₂²×C₄²×C₄₃

C₂²

yes

—

—

—

Q₈

yes

complemented

C₂²×C₄₃⋊C₈

—

C₂²×Q₈×C₄₃

—

C₂²×Q₈×C₄₃

—

C₂²×Q₈×C₄₃

—

C₂³×C₄×C₄₃

C₂×C₄

yes

characteristic

C₂³×C₄×C₄₃

C₂×C₄

yes

characteristic

C₂³×C₄×C₄₃

C₂×C₄

yes

—

C₂³×C₄×C₄₃

C₂³

yes

characteristic

C₄⋊Q₈×C₄₃

—

C₂×C₄⋊C₄×C₄₃

—

C₂×C₄⋊C₄×C₄₃

—

C₂×C₄⋊C₄×C₄₃

—

C₂×C₄⋊C₄×C₄₃

—

C₂×C₄⋊C₄×C₄₃

D₄

yes

—

C₂×C₄²×C₄₃

—

C₂×C₄²×C₄₃

D₄

yes

—

C₂⁴×C₄₃

C₂²×C₄

yes

characteristic

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₄₃

C₂×D₄

yes

—

C₂²×C₄×C₄₃

C₂×D₄

yes

—

C₂²×C₄×C₄₃

C₂×Q₈

yes

—

C₂²×C₄×C₄₃

#41

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄²×C₄₃

—

#10621877

—

#10621877

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

C₂×C₂²⋊C₄

yes

—

C₂³×C₄₃

C₂×C₂²⋊C₄

yes

characteristic

C₂³×C₄₃

C₄×Q₈

yes

—

Q₈×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

#100

yes

—

C₂×C₄×C₄₃

#101

yes

—

C₂×C₄×C₄₃

#120

yes

—

C₂×C₄×C₄₃

C₂²⋊Q₈

yes

—

C₂×C₄×C₄₃

C₂²⋊Q₈

yes

—

C₂×C₄×C₄₃

#124

yes

—

C₂×C₄×C₄₃

#124

yes

—

C₂×C₄×C₄₃

C₄⋊Q₈

yes

—

C₂×C₄×C₄₃

C₄⋊Q₈

yes

—

C₄₃⋊C₈

—

#11382

—

maximal, Sylow

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

#379

yes

characteristic

C₂²×C₄₃

#391

yes

—

C₂²×C₄₃

#391

yes

—

C₂²×C₄₃

C₂×#100

yes

—

C₂²×C₄₃

C₂×#101

yes

—

C₄×C₄₃

—

C₄×C₄₃

—

C₄×C₄₃

—

C₄×C₄₃

#393

yes

—

C₄×C₄₃

#395

yes

—

100

C₂²×C₄⋊Q₈

D₄₃

yes

characteristic

101

C₂×#343

—

102

#1728

—

103

C₂×C₄₃

—

104

C₂×C₄₃

#1446

yes

characteristic

105

C₂×C₄₃

#1783

yes

characteristic

106

C₂×C₄₃

#1784

yes

characteristic

107

C₂×C₄₃

#1997

yes

—

108

C₂³×Q₈

Dic₄₃

yes

—

109

C₂²×M₁₆

—

110

C₂×C₄⋊Q₈

—

111

C₂×C₄⋊Q₈

—

112

C₂²×C₄⋊C₄

Dic₄₃

yes

—

113

C₂²×C₄⋊C₄

C₂×D₄₃

yes

—

114

C₂²×C₄²

C₂×D₄₃

yes

characteristic

115

#343

—

116

#336

—

117

C₄₃

#11382

yes

characteristic, complemented, Sylow

118

C₂²×Q₈

—

119

C₂²×Q₈

—

120

C₂²×Q₈

—

121

C₂³×C₄

C₂×Dic₄₃

yes

characteristic

122

C₂³×C₄

C₂×Dic₄₃

yes

characteristic

123

C₂³×C₄

C₂×Dic₄₃

yes

—

124

C₂³×C₄

C₂²×D₄₃

yes

characteristic

125

C₂×M₁₆

—

126

C₂×M₁₆

—

127

C₂×M₁₆

—

128

C₂×M₁₆

—

129

C₂²×C₈

—

130

C₄⋊Q₈

—

131

C₂×C₄⋊C₄

—

132

C₂×C₄⋊C₄

—

133

C₂×C₄⋊C₄

—

134

C₂×C₄⋊C₄

—

135

C₂×C₄⋊C₄

C₂²⋊D₄₃

yes

—

136

C₂×C₄²

—

137

C₂×C₄²

C₂²⋊D₄₃

yes

—

138

C₂⁴

C₂²×Dic₄₃

yes

characteristic

139

C₂×Q₈

—

140

C₂×Q₈

—

141

C₂×Q₈

—

142

C₂×Q₈

—

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

—

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

—

149

C₂²×C₄

—

150

C₂²×C₄

C₂²⋊Dic₄₃

yes

—

151

C₂²×C₄

C₂²⋊Dic₄₃

yes

—

152

C₂²×C₄

C₂²⋊Dic₄₃

yes

—

153

C₂²×C₄

Q₈×D₄₃

yes

—

154

C₂²×C₄

#10621902

yes

—

155

C₂²×C₄

C₂×C₂²⋊D₄₃

yes

—

156

C₂²×C₄

C₂×C₂²⋊D₄₃

yes

—

157

M₁₆

—

158

M₁₆

—

172

—

159

C₂×C₈

—

160

C₂×C₈

—

172

—

161

C₂×C₈

—

172

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄²

—

165

C₂³

—

166

C₂³

—

167

C₂³

C₂×C₂²⋊Dic₄₃

yes

—

168

C₂³

C₂×C₂²⋊Dic₄₃

yes

characteristic

169

C₂³

Q₈×Dic₄₃

yes

—

170

Q₈

—

171

C₂×C₄

—

172

C₂×C₄

—

173

C₂×C₄

—

174

C₂×C₄

—

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

#13063242

yes

—

182

C₂×C₄

#13063244

yes

—

183

C₂×C₄

#13063294

yes

—

184

C₂×C₄

#13063301

yes

—

185

C₂×C₄

#13063301

yes

—

186

C₂×C₄

#13063314

yes

—

187

C₂×C₄

#13063314

yes

—

188

C₂×C₄

#13063323

yes

—

189

C₂×C₄

#13063323

yes

—

190

C₈

—

172

—

191

C₂²

—

192

C₂²

—

193

C₂²

—

194

C₂²

#14582755

yes

characteristic

195

C₂²

#14582806

yes

—

196

C₂²

#14582806

yes

—

197

C₂²

C₂×#13063242

yes

—

198

C₂²

C₂×#13063244

yes

—

199

C₄

—

200

C₄

—

201

C₄

—

202

C₄

#14582810

yes

—

203

C₄

#14582818

yes

—

204

C₂

—

205

C₂

#19132866

yes

characteristic

206

C₂

#19134516

yes

characteristic

207

C₂

#19134519

yes

characteristic

208

C₂

#19135585

yes

—

	subgroup	G/H
center	C₂³	C₂×C₂²⋊Dic₄₃
commutator, prime radical	C₂⁴×C₄₃	C₂²×C₄
Frattini	C₂³×C₄	C₂²×D₄₃
Fitting	C₂²×C₄⋊Q₈×C₄₃	C₂
socle	C₂³×C₄₃	C₂×C₂²⋊C₄
cosocle	C₂³×C₄×C₄₃	C₂³
hypercenter	C₂²×C₄⋊Q₈	D₄₃
hypocenter	C₄₃	#11382
LCS	G ▷ C₂⁴×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄² ◁ C₂²×C₄⋊Q₈

subgroup

G/H

center

C₂³

C₂×C₂²⋊Dic₄₃

commutator, prime radical

C₂⁴×C₄₃

C₂²×C₄

Frattini

C₂³×C₄

C₂²×D₄₃

Fitting

C₂²×C₄⋊Q₈×C₄₃

C₂

socle

C₂³×C₄₃

C₂×C₂²⋊C₄

cosocle

C₂³×C₄×C₄₃

C₂³

hypercenter

C₂²×C₄⋊Q₈

D₄₃

hypocenter

C₄₃

#11382

LCS

G ▷ C₂⁴×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄² ◁ C₂²×C₄⋊Q₈

N	H ≅ G/N	type
16. C₂×#10621877	Q₈	semidirect
117. C₄₃	#11382	semidirect

H ≅ G/N

type

16. C₂×#10621877

Q₈

semidirect

117. C₄₃

#11382

semidirect

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

subgroup	index
C₂×#14582668	2
#19134289	2
C₂²×C₄⋊Q₈×C₄₃	2
#11382	43

subgroup

index

C₂×#14582668

#19134289

C₂²×C₄⋊Q₈×C₄₃

#11382

Subgroups — #25005510

Conjugacy classes of subgroups

Complements

Maximal subgroups