Group #11773608 — subgroups

Subgroups — #11773608

Order 1152.

497 conjugacy classes of subgroups; only the 156 normal subgroups are shown.

normal subgroups only

This group has 497 conjugacy classes of subgroups — too many to draw. Only its 156 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	C₄×C₈×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic
2	C₄×#3712	C₂	1	1	yes	maximal, characteristic
3	#10590297	C₂	1	1	yes	maximal, characteristic
4	C₃×#4455	C₂	1	2	yes	maximal, complemented
5	#10589078	C₂	1	2	yes	maximal, complemented
6	#68069	—	3	2	no	maximal
7	C₂×C₈×C₃⋊D₃	C₄	1	2	yes	—
8	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic
9	C₂×#3712	C₄	1	2	yes	—
10	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic
11	C₈×C₃⋊Dic₃	C₄	1	2	yes	—
12	C₄×C₃⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
13	C₃×C₄×C₃⋊C₈	C₂²	1	2	yes	—
14	C₃×C₄×C₃⋊C₈	C₂²	1	2	yes	—
15	#63572	C₄	1	2	yes	—
16	#63557	C₄	1	2	yes	—
17	#63555	C₄	1	2	yes	—
18	C₄×ΓL(1,𝔽₂₅)	—	3	2	no	—
19	#4685	—	3	2	no	—
20	C₄×D₃×C₈	—	3	2	no	—
21	C₄×D₃×C₈	—	6	1	no	—
22	C₃×#322	—	3	2	no	—
23	#4455	—	3	2	no	—
24	#4455	D₃	1	2	yes	complemented
25	#4454	—	3	2	no	—
26	C₂×C₄×C₃⋊D₃	C₂×C₄	1	1	yes	characteristic
27	C₂×C₄×C₃⋊D₃	C₂×C₄	1	1	yes	characteristic
28	C₂×C₄×C₃⋊D₃	C₂×C₄	1	1	yes	characteristic
29	C₂×C₃²×C₈	C₂×C₄	1	2	yes	—
30	C₃²×C₄²	C₂³	1	1	yes	characteristic
31	C₄×C₃⋊Dic₃	C₂×C₄	1	1	yes	characteristic
32	C₄×C₃⋊Dic₃	C₂×C₄	1	1	yes	characteristic
33	C₄×C₃⋊Dic₃	C₂×C₄	1	1	yes	characteristic
34	C₂×C₃⋊(C₃⋊C₈)	C₂×C₄	1	2	yes	—
35	C₈×C₃⋊D₃	—	2	4	no	—
36	C₂×C₃×C₃⋊C₈	C₂×C₄	1	4	yes	—
37	C₂×C₃×C₃⋊C₈	C₂×C₄	1	4	yes	—
38	#3712	—	2	4	no	—
39	#1451	—	9	1	no	Sylow
40	C₂×ΓL(1,𝔽₂₅)	—	3	4	no	—
41	C₂×D₃×C₈	—	3	4	no	—
42	C₂×D₃×C₈	—	6	2	no	—
43	C₄²×D₃	—	3	2	no	—
44	C₄²×D₃	—	6	1	no	—
45	C₃×C₄×C₈	—	2	1	no	—
46	C₃×C₄×C₈	—	3	2	no	—
47	C₃×C₄×C₈	—	3	2	no	—
48	C₃×C₄×C₈	C₂×D₃	1	2	yes	—
49	(C₂×D₃)⋊C₈	—	3	4	no	—
50	#815	—	3	4	no	—
51	Dic₃⋊C₈	—	3	4	no	—
52	C₈×Dic₃	—	3	4	no	—
53	C₈×Dic₃	—	6	2	no	—
54	C₄×C₃⋊C₈	—	3	2	no	—
55	C₄×C₃⋊C₈	—	6	1	no	—
56	C₄×C₃⋊C₈	C₂×D₃	1	2	yes	—
57	C₄×C₃⋊C₈	C₂×D₃	1	2	yes	—
58	C₂²×C₃⋊D₃	C₄²	1	1	yes	characteristic
59	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
60	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
61	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
62	C₂×C₃⋊Dic₃	C₄²	1	1	yes	characteristic
63	C₂×C₃⋊Dic₃	C₄²	1	1	yes	characteristic
64	C₂×C₃⋊Dic₃	C₄²	1	1	yes	characteristic
65	C₄×C₃⋊D₃	—	2	2	no	—
66	C₄×C₃⋊D₃	—	2	2	no	—
67	C₄×C₃⋊D₃	M₁₆	1	4	yes	—
68	C₃²×C₈	M₁₆	1	4	yes	complemented
69	C₃⋊(C₃⋊C₈)	—	2	2	no	—
70	C₃×C₃⋊C₈	—	2	4	no	—
71	C₃×C₃⋊C₈	—	2	4	no	—
72	#431	—	9	1	no	—
73	C₄×M₁₆	—	9	1	no	—
74	C₂×C₄×C₈	—	9	1	no	—
75	#322	—	3	2	no	—
76	#322	—	9	2	no	—
77	C₂×C₄×D₃	—	3	2	no	—
78	C₂×C₄×D₃	—	3	2	no	—
79	C₂×C₄×D₃	—	3	2	no	—
80	C₂×C₄×D₃	—	6	1	no	—
81	C₂×C₄×D₃	—	6	1	no	—
82	C₂×C₄×D₃	—	6	1	no	—
83	C₂×C₃×C₈	—	2	2	no	—
84	C₂×C₃×C₈	—	3	4	no	—
85	C₂×C₃×C₈	—	3	4	no	—
86	C₂×C₃×C₈	C₄×D₃	1	4	yes	—
87	C₃×C₄²	—	2	1	no	—
88	C₃×C₄²	C₂²×D₃	1	2	yes	—
89	C₄×Dic₃	—	3	2	no	—
90	C₄×Dic₃	—	3	2	no	—
91	C₄×Dic₃	—	3	2	no	—
92	C₄×Dic₃	—	6	1	no	—
93	C₄×Dic₃	—	6	1	no	—
94	C₄×Dic₃	—	6	1	no	—
95	C₂×C₃⋊C₈	—	3	4	no	—
96	C₂×C₃⋊C₈	—	6	2	no	—
97	C₂×C₃⋊C₈	C₄×D₃	1	4	yes	—
98	C₂×C₃⋊C₈	C₄×D₃	1	4	yes	—
99	ΓL(1,𝔽₂₅)	—	6	8	no	—
100	D₃×C₈	—	6	8	no	—
101	D₃×C₈	—	6	8	no	—
102	C₂²×C₃²	C₂×C₄²	1	1	yes	characteristic
103	C₂×C₃⋊D₃	—	2	1	no	—
104	C₂×C₃⋊D₃	—	2	1	no	—
105	C₂×C₃⋊D₃	#97	1	2	yes	—
106	C₃²×C₄	C₂×M₁₆	1	2	yes	—
107	C₃²×C₄	C₂×M₁₆	1	2	yes	—
108	C₃²×C₄	#131	1	2	yes	—
109	C₃⋊Dic₃	—	2	1	no	—
110	C₃⋊Dic₃	—	2	1	no	—
111	C₃⋊Dic₃	#97	1	2	yes	—
112	C₂×M₁₆	—	9	2	no	—
113	C₂²×C₈	—	9	2	no	—
114	C₂×C₄²	—	9	1	no	—
115	C₄⋊C₈	—	9	2	no	—
116	C₂²⋊C₈	—	9	2	no	—
117	#97	—	9	2	no	—
118	C₄×C₈	—	3	2	no	—
119	C₄×C₈	—	3	2	no	—
120	C₄×C₈	—	9	2	no	—
121	C₄×C₈	—	9	1	no	—
122	C₄×C₈	D₃²	1	1	yes	characteristic
123	C₂²×D₃	—	3	2	no	—
124	C₂²×D₃	—	6	1	no	—
125	C₂×C₃×C₄	—	2	1	no	—
126	C₂×C₃×C₄	—	2	1	no	—
127	C₂×C₃×C₄	—	2	1	no	—
128	C₂×C₃×C₄	C₂×C₄×D₃	1	2	yes	—
129	C₂×C₃×C₄	C₂×C₄×D₃	1	2	yes	—
130	C₂×C₃×C₄	C₂×C₄×D₃	1	2	yes	—
131	C₂×Dic₃	—	3	2	no	—
132	C₂×Dic₃	—	3	2	no	—
133	C₂×Dic₃	—	3	2	no	—
134	C₂×Dic₃	—	6	1	no	—
135	C₂×Dic₃	—	6	1	no	—
136	C₂×Dic₃	—	6	1	no	—
137	C₄×D₃	—	3	8	no	—
138	C₄×D₃	—	6	4	no	—
139	C₄×D₃	—	6	4	no	—
140	C₄×D₃	—	6	4	no	—
141	C₄×D₃	—	6	4	no	—
142	C₄×D₃	—	6	4	no	—
143	C₃×C₈	—	2	4	no	—
144	C₃×C₈	—	6	4	no	—
145	C₃×C₈	—	6	4	no	—
146	C₃×C₈	ΓL(1,𝔽₂₅)	1	8	yes	complemented
147	C₃⋊C₈	—	2	4	no	—
148	C₃⋊C₈	—	2	4	no	—
149	C₃⋊C₈	—	6	4	no	—
150	C₃⋊C₈	—	6	4	no	—
151	C₂×C₃²	C₂×#97	1	1	yes	characteristic
152	C₂×C₃²	C₄×M₁₆	1	1	yes	characteristic
153	C₂×C₃²	#405	1	1	yes	characteristic
154	C₃⋊D₃	—	2	2	no	—
155	C₂²×C₄	—	9	1	no	—
156	C₂²×C₄	—	9	1	no	—
157	C₂²×C₄	—	9	1	no	—
158	M₁₆	—	18	4	no	—
159	C₂×C₈	—	3	4	no	—
160	C₂×C₈	—	3	4	no	—
161	C₂×C₈	—	9	2	no	—
162	C₂×C₈	—	18	4	no	—
163	C₂×C₈	#624	1	2	yes	—
164	C₄²	—	9	1	no	—
165	C₄²	—	9	1	no	—
166	C₄²	—	9	1	no	—
167	C₄²	C₂×D₃²	1	1	yes	characteristic
168	C₂²×C₃	—	2	1	no	—
169	C₂²×C₃	C₄²×D₃	1	2	yes	—
170	C₂×D₃	—	3	4	no	—
171	C₂×D₃	—	6	2	no	—
172	C₂×D₃	—	6	2	no	—
173	C₂×D₃	—	6	2	no	—
174	C₂×D₃	—	6	2	no	—
175	C₂×D₃	—	6	2	no	—
176	C₃×C₄	—	2	2	no	—
177	C₃×C₄	—	2	2	no	—
178	C₃×C₄	—	2	2	no	—
179	C₃×C₄	C₂×ΓL(1,𝔽₂₅)	1	4	yes	—
180	C₃×C₄	D₃×M₁₆	1	4	yes	—
181	C₃×C₄	#907	1	4	yes	—
182	Dic₃	—	3	4	no	—
183	Dic₃	—	6	2	no	—
184	Dic₃	—	6	2	no	—
185	Dic₃	—	6	2	no	—
186	Dic₃	—	6	2	no	—
187	Dic₃	—	6	2	no	—
188	C₃²	#1451	1	1	yes	characteristic, complemented, Sylow
189	C₂³	—	9	1	no	—
190	C₂×C₄	—	9	1	no	—
191	C₂×C₄	—	9	4	no	—
192	C₂×C₄	—	9	1	no	—
193	C₂×C₄	—	9	1	no	—
194	C₂×C₄	—	18	2	no	—
195	C₂×C₄	—	18	2	no	—
196	C₂×C₄	C₄×D₃²	1	1	yes	characteristic
197	C₂×C₄	C₄×D₃²	1	1	yes	characteristic
198	C₂×C₄	C₂×#624	1	1	yes	characteristic
199	C₈	—	6	4	no	—
200	C₈	—	6	4	no	—
201	C₈	—	18	2	no	—
202	C₈	#3712	1	4	yes	complemented
203	C₂×C₃	—	2	1	no	—
204	C₂×C₃	—	2	1	no	—
205	C₂×C₃	—	2	1	no	—
206	C₂×C₃	C₄×ΓL(1,𝔽₂₅)	1	2	yes	—
207	C₂×C₃	D₃×#97	1	2	yes	—
208	C₂×C₃	#4708	1	2	yes	—
209	D₃	—	6	4	no	—
210	D₃	—	6	4	no	—
211	C₂²	—	9	2	no	—
212	C₂²	—	18	1	no	—
213	C₂²	—	18	1	no	—
214	C₂²	C₄×#624	1	1	yes	characteristic
215	C₄	—	9	2	no	—
216	C₄	—	18	1	no	—
217	C₄	—	18	1	no	—
218	C₄	#63791	1	2	yes	—
219	C₄	#63805	1	2	yes	—
220	C₄	C₂×#3712	1	2	yes	—
221	C₃	—	2	1	no	—
222	C₃	#68069	1	2	yes	complemented
223	C₂	—	18	2	no	—
224	C₂	C₄×#3712	1	1	yes	characteristic
225	C₂	#10590668	1	1	yes	characteristic
226	C₂	#10590703	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₄×C₈×C₃⋊D₃

C₂

yes

maximal, characteristic

C₄×#3712

C₂

yes

maximal, characteristic

#10590297

C₂

yes

maximal, characteristic

C₃×#4455

C₂

yes

maximal, complemented

#10589078

C₂

yes

maximal, complemented

#68069

—

maximal

C₂×C₈×C₃⋊D₃

C₄

yes

—

C₄²×C₃⋊D₃

C₂²

yes

characteristic

C₂×#3712

C₄

yes

—

C₃²×C₄×C₈

C₂²

yes

characteristic

C₈×C₃⋊Dic₃

C₄

yes

—

C₄×C₃⋊(C₃⋊C₈)

C₂²

yes

characteristic

C₃×C₄×C₃⋊C₈

C₂²

yes

—

C₃×C₄×C₃⋊C₈

C₂²

yes

—

#63572

C₄

yes

—

#63557

C₄

yes

—

#63555

C₄

yes

—

C₄×ΓL(1,𝔽₂₅)

—

#4685

—

C₄×D₃×C₈

—

C₄×D₃×C₈

—

C₃×#322

—

#4455

—

#4455

D₃

yes

complemented

#4454

—

C₂×C₄×C₃⋊D₃

C₂×C₄

yes

characteristic

C₂×C₄×C₃⋊D₃

C₂×C₄

yes

characteristic

C₂×C₄×C₃⋊D₃

C₂×C₄

yes

characteristic

C₂×C₃²×C₈

C₂×C₄

yes

—

C₃²×C₄²

C₂³

yes

characteristic

C₄×C₃⋊Dic₃

C₂×C₄

yes

characteristic

C₄×C₃⋊Dic₃

C₂×C₄

yes

characteristic

C₄×C₃⋊Dic₃

C₂×C₄

yes

characteristic

C₂×C₃⋊(C₃⋊C₈)

C₂×C₄

yes

—

C₈×C₃⋊D₃

—

C₂×C₃×C₃⋊C₈

C₂×C₄

yes

—

C₂×C₃×C₃⋊C₈

C₂×C₄

yes

—

#3712

—

#1451

—

Sylow

C₂×ΓL(1,𝔽₂₅)

—

C₂×D₃×C₈

—

C₂×D₃×C₈

—

C₄²×D₃

—

C₄²×D₃

—

C₃×C₄×C₈

—

C₃×C₄×C₈

—

C₃×C₄×C₈

—

C₃×C₄×C₈

C₂×D₃

yes

—

(C₂×D₃)⋊C₈

—

#815

—

Dic₃⋊C₈

—

C₈×Dic₃

—

C₈×Dic₃

—

C₄×C₃⋊C₈

—

C₄×C₃⋊C₈

—

C₄×C₃⋊C₈

C₂×D₃

yes

—

C₄×C₃⋊C₈

C₂×D₃

yes

—

C₂²×C₃⋊D₃

C₄²

yes

characteristic

C₂×C₃²×C₄

C₂²×C₄

yes

characteristic

C₂×C₃²×C₄

C₂²×C₄

yes

characteristic

C₂×C₃²×C₄

C₂²×C₄

yes

characteristic

C₂×C₃⋊Dic₃

C₄²

yes

characteristic

C₂×C₃⋊Dic₃

C₄²

yes

characteristic

C₂×C₃⋊Dic₃

C₄²

yes

characteristic

C₄×C₃⋊D₃

—

C₄×C₃⋊D₃

—

C₄×C₃⋊D₃

M₁₆

yes

—

C₃²×C₈

M₁₆

yes

complemented

C₃⋊(C₃⋊C₈)

—

C₃×C₃⋊C₈

—

C₃×C₃⋊C₈

—

#431

—

C₄×M₁₆

—

C₂×C₄×C₈

—

#322

—

#322

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×C₃×C₈

—

C₂×C₃×C₈

—

C₂×C₃×C₈

—

C₂×C₃×C₈

C₄×D₃

yes

—

C₃×C₄²

—

C₃×C₄²

C₂²×D₃

yes

—

C₄×Dic₃

—

C₄×Dic₃

—

C₄×Dic₃

—

C₄×Dic₃

—

C₄×Dic₃

—

C₄×Dic₃

—

C₂×C₃⋊C₈

—

C₂×C₃⋊C₈

—

C₂×C₃⋊C₈

C₄×D₃

yes

—

C₂×C₃⋊C₈

C₄×D₃

yes

—

ΓL(1,𝔽₂₅)

—

100

D₃×C₈

—

101

D₃×C₈

—

102

C₂²×C₃²

C₂×C₄²

yes

characteristic

103

C₂×C₃⋊D₃

—

104

C₂×C₃⋊D₃

—

105

C₂×C₃⋊D₃

#97

yes

—

106

C₃²×C₄

C₂×M₁₆

yes

—

107

C₃²×C₄

C₂×M₁₆

yes

—

108

C₃²×C₄

#131

yes

—

109

C₃⋊Dic₃

—

110

C₃⋊Dic₃

—

111

C₃⋊Dic₃

#97

yes

—

112

C₂×M₁₆

—

113

C₂²×C₈

—

114

C₂×C₄²

—

115

C₄⋊C₈

—

116

C₂²⋊C₈

—

117

#97

—

118

C₄×C₈

—

119

C₄×C₈

—

120

C₄×C₈

—

121

C₄×C₈

—

122

C₄×C₈

D₃²

yes

characteristic

123

C₂²×D₃

—

124

C₂²×D₃

—

125

C₂×C₃×C₄

—

126

C₂×C₃×C₄

—

127

C₂×C₃×C₄

—

128

C₂×C₃×C₄

C₂×C₄×D₃

yes

—

129

C₂×C₃×C₄

C₂×C₄×D₃

yes

—

130

C₂×C₃×C₄

C₂×C₄×D₃

yes

—

131

C₂×Dic₃

—

132

C₂×Dic₃

—

133

C₂×Dic₃

—

134

C₂×Dic₃

—

135

C₂×Dic₃

—

136

C₂×Dic₃

—

137

C₄×D₃

—

138

C₄×D₃

—

139

C₄×D₃

—

140

C₄×D₃

—

141

C₄×D₃

—

142

C₄×D₃

—

143

C₃×C₈

—

144

C₃×C₈

—

145

C₃×C₈

—

146

C₃×C₈

ΓL(1,𝔽₂₅)

yes

complemented

147

C₃⋊C₈

—

148

C₃⋊C₈

—

149

C₃⋊C₈

—

150

C₃⋊C₈

—

151

C₂×C₃²

C₂×#97

yes

characteristic

152

C₂×C₃²

C₄×M₁₆

yes

characteristic

153

C₂×C₃²

#405

yes

characteristic

154

C₃⋊D₃

—

155

C₂²×C₄

—

156

C₂²×C₄

—

157

C₂²×C₄

—

158

M₁₆

—

159

C₂×C₈

—

160

C₂×C₈

—

161

C₂×C₈

—

162

C₂×C₈

—

163

C₂×C₈

#624

yes

—

164

C₄²

—

165

C₄²

—

166

C₄²

—

167

C₄²

C₂×D₃²

yes

characteristic

168

C₂²×C₃

—

169

C₂²×C₃

C₄²×D₃

yes

—

170

C₂×D₃

—

171

C₂×D₃

—

172

C₂×D₃

—

173

C₂×D₃

—

174

C₂×D₃

—

175

C₂×D₃

—

176

C₃×C₄

—

177

C₃×C₄

—

178

C₃×C₄

—

179

C₃×C₄

C₂×ΓL(1,𝔽₂₅)

yes

—

180

C₃×C₄

D₃×M₁₆

yes

—

181

C₃×C₄

#907

yes

—

182

Dic₃

—

183

Dic₃

—

184

Dic₃

—

185

Dic₃

—

186

Dic₃

—

187

Dic₃

—

188

C₃²

#1451

yes

characteristic, complemented, Sylow

189

C₂³

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

C₄×D₃²

yes

characteristic

197

C₂×C₄

C₄×D₃²

yes

characteristic

198

C₂×C₄

C₂×#624

yes

characteristic

199

C₈

—

200

C₈

—

201

C₈

—

202

C₈

#3712

yes

complemented

203

C₂×C₃

—

204

C₂×C₃

—

205

C₂×C₃

—

206

C₂×C₃

C₄×ΓL(1,𝔽₂₅)

yes

—

207

C₂×C₃

D₃×#97

yes

—

208

C₂×C₃

#4708

yes

—

209

D₃

—

210

D₃

—

211

C₂²

—

212

C₂²

—

213

C₂²

—

214

C₂²

C₄×#624

yes

characteristic

215

C₄

—

216

C₄

—

217

C₄

—

218

C₄

#63791

yes

—

219

C₄

#63805

yes

—

220

C₄

C₂×#3712

yes

—

221

C₃

—

222

C₃

#68069

yes

complemented

223

C₂

—

224

C₂

C₄×#3712

yes

characteristic

225

C₂

#10590668

yes

characteristic

226

C₂

#10590703

yes

characteristic

	subgroup	G/H
center, Frattini	C₄²	C₂×D₃²
commutator, socle	C₂²×C₃²	C₂×C₄²
Fitting	C₃²×C₄×C₈	C₂²
prime radical	C₂²×C₃⋊D₃	C₄²
cosocle	C₃²×C₄²	C₂³
hypercenter	C₄×C₈	D₃²
hypocenter	C₃²	#1451
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₄² ◁ C₄×C₈

subgroup

G/H

center, Frattini

C₄²

C₂×D₃²

commutator, socle

C₂²×C₃²

C₂×C₄²

Fitting

C₃²×C₄×C₈

C₂²

prime radical

C₂²×C₃⋊D₃

C₄²

cosocle

C₃²×C₄²

C₂³

hypercenter

C₄×C₈

D₃²

C₃²

G ▷ C₂²×C₃² ▷ C₃²

C₁ ◁ C₄² ◁ C₄×C₈

N	H ≅ G/N	type
4. C₃×#4455	C₂	semidirect
5. #10589078	C₂	semidirect
24. #4455	D₃	semidirect
68. C₃²×C₈	M₁₆	semidirect
146. C₃×C₈	ΓL(1,𝔽₂₅)	semidirect
188. C₃²	#1451	semidirect
202. C₈	#3712	semidirect
222. C₃	#68069	semidirect

H ≅ G/N

type

4. C₃×#4455

C₂

semidirect

5. #10589078

C₂

semidirect

24. #4455

D₃

semidirect

68. C₃²×C₈

M₁₆

semidirect

146. C₃×C₈

ΓL(1,𝔽₂₅)

semidirect

188. C₃²

#1451

semidirect

202. C₈

#3712

semidirect

222. C₃

#68069

semidirect

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

subgroup	index
C₄×C₈×C₃⋊D₃	2
C₄×#3712	2
#10590297	2
C₃×#4455	2
#10589078	2
#68069	3

subgroup

index

C₄×C₈×C₃⋊D₃

Subgroups — #11773608

Conjugacy classes of subgroups

Complements

Maximal subgroups