Group #11874200 — subgroups

Subgroups — C₃⋊D₃×#494 #11874200

Order 1152.

1656 conjugacy classes of subgroups; only the 297 normal subgroups are shown.

normal subgroups only

This group has 1656 conjugacy classes of subgroups — too many to draw. Only its 297 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×Q₁₆×C₃⋊D₃	C₂	1	4	yes	maximal
2	C₃⋊D₃×C₄⋊Q₈	C₂	1	2	yes	maximal
3	C₃²×#494	C₂	1	1	yes	maximal, characteristic, complemented
4	#10592882	C₂	1	4	yes	maximal, complemented
5	#10592791	C₂	1	2	yes	maximal, complemented
6	#10592398	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄×C₈×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic
8	D₃×#494	—	3	4	no	maximal
9	C₂×Q₈×C₃⋊D₃	C₂²	1	4	yes	—
10	C₂×C₃²×Q₁₆	C₂²	1	4	yes	—
11	C₃²×C₄⋊Q₈	C₂²	1	2	yes	—
12	#64153	C₂²	1	4	yes	—
13	C₂×#3756	C₂²	1	8	yes	—
14	Q₁₆×C₃⋊D₃	—	2	16	no	—
15	C₂×#3746	C₂²	1	4	yes	—
16	C₂×C₈×C₃⋊D₃	C₂²	1	2	yes	—
17	C₄⋊C₄×C₃⋊D₃	—	2	4	no	—
18	#64097	—	2	4	no	—
19	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic
20	#64078	C₂²	1	2	yes	—
21	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic
22	C₈×C₃⋊Dic₃	C₂²	1	2	yes	—
23	C₄×C₃⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
24	C₂×D₃×Q₁₆	—	3	16	no	—
25	D₃×C₄⋊Q₈	—	3	8	no	—
26	C₃×#494	D₃	1	4	yes	complemented
27	#5183	—	3	16	no	—
28	#5092	—	3	8	no	—
29	#4699	—	3	4	no	—
30	C₄×D₃×C₈	—	3	4	no	—
31	C₂×C₃²×Q₈	C₂³	1	4	yes	—
32	Q₈×C₃⋊D₃	—	2	16	no	—
33	C₂×C₄×C₃⋊D₃	—	2	4	no	—
34	C₂×C₄×C₃⋊D₃	D₄	1	2	yes	—
35	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
36	C₂×#634	—	2	4	no	—
37	C₂×#634	C₂³	1	4	yes	—
38	C₃²×Q₁₆	—	2	8	no	—
39	C₂×C₃²×C₈	C₂³	1	2	yes	—
40	C₃²×C₄⋊C₄	—	2	4	no	—
41	C₃²×C₄²	C₂³	1	1	yes	characteristic
42	#3756	—	2	16	no	—
43	C₄⋊(C₃⋊Dic₃)	—	2	4	no	—
44	#3750	—	2	8	no	—
45	C₄×C₃⋊Dic₃	D₄	1	2	yes	—
46	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
47	C₂×C₃⋊(C₃⋊C₈)	C₂³	1	2	yes	—
48	#3746	—	2	8	no	—
49	C₈×C₃⋊D₃	D₄	1	8	yes	—
50	C₂×#494	—	9	1	no	Sylow
51	C₂×D₃×Q₈	—	3	16	no	—
52	C₂×C₃×Q₁₆	C₂×D₃	1	16	yes	—
53	C₃×C₄⋊Q₈	C₂×D₃	1	8	yes	—
54	#944	—	3	16	no	—
55	C₂×#216	—	3	32	no	—
56	D₃×Q₁₆	—	6	64	no	—
57	C₂×Dic₁₂	—	3	16	no	—
58	C₂×D₃×C₈	—	3	8	no	—
59	D₃×C₄⋊C₄	—	6	16	no	—
60	#888	—	6	16	no	—
61	C₄²×D₃	—	3	4	no	—
62	#869	—	3	8	no	—
63	C₃×C₄×C₈	C₂×D₃	1	4	yes	—
64	C₈×Dic₃	—	3	8	no	—
65	C₄×C₃⋊C₈	—	3	4	no	—
66	C₂²×C₃⋊D₃	C₂×D₄	1	1	yes	characteristic
67	C₃²×Q₈	—	2	8	no	—
68	C₂×C₃²×C₄	—	2	4	no	—
69	C₂×C₃²×C₄	C₂×D₄	1	2	yes	—
70	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
71	C₂×C₃⋊Dic₃	—	2	4	no	—
72	C₂×C₃⋊Dic₃	C₂×D₄	1	1	yes	characteristic
73	C₂×C₃⋊Dic₃	C₂×D₄	1	2	yes	—
74	C₄×C₃⋊D₃	—	4	8	no	—
75	C₄×C₃⋊D₃	Q₁₆	1	8	yes	complemented
76	C₄×C₃⋊D₃	C₂×D₄	1	4	yes	—
77	#634	—	2	8	no	—
78	#634	—	4	8	no	—
79	C₃²×C₈	C₂×D₄	1	4	yes	—
80	C₃⋊(C₃⋊C₈)	C₂×D₄	1	4	yes	—
81	C₂²×Q₁₆	—	9	4	no	—
82	C₂×C₄⋊Q₈	—	9	2	no	—
83	#494	—	9	4	no	—
84	#494	—	9	2	no	—
85	#494	—	9	1	no	—
86	#494	C₃⋊D₃	1	1	yes	characteristic, direct product factor
87	C₂×C₄×C₈	—	9	1	no	—
88	C₂×C₃×Q₈	C₂²×D₃	1	16	yes	—
89	D₃×Q₈	—	6	64	no	—
90	C₂×C₄×D₃	—	3	8	no	—
91	C₂×C₄×D₃	—	3	4	no	—
92	C₂×C₄×D₃	—	6	16	no	—
93	C₂×Dic₆	—	3	16	no	—
94	C₂×Dic₆	—	6	16	no	—
95	C₃×Q₁₆	—	2	32	no	—
96	C₂×C₃×C₈	C₂²×D₃	1	8	yes	—
97	C₃×C₄⋊C₄	—	2	16	no	—
98	C₃×C₄²	C₂²×D₃	1	4	yes	—
99	#216	—	6	64	no	—
100	C₄⋊Dic₃	—	6	16	no	—
101	Dic₃⋊C₄	—	6	32	no	—
102	C₄×Dic₃	—	3	8	no	—
103	C₄×Dic₃	—	3	4	no	—
104	C₂×C₃⋊C₈	—	3	8	no	—
105	Dic₁₂	—	6	32	no	—
106	D₃×C₈	—	3	32	no	—
107	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
108	C₂×C₃⋊D₃	#127	1	2	yes	—
109	C₂×C₃⋊D₃	C₂×Q₁₆	1	4	yes	—
110	C₃²×C₄	—	4	4	no	—
111	C₃²×C₄	C₂×Q₁₆	1	4	yes	complemented
112	C₃²×C₄	C₂²×D₄	1	2	yes	—
113	C₃⋊Dic₃	—	4	4	no	—
114	C₃⋊Dic₃	#127	1	2	yes	—
115	C₃⋊Dic₃	C₂×Q₁₆	1	4	yes	complemented
116	C₂²×Q₈	—	9	4	no	—
117	C₂×Q₁₆	—	9	8	no	—
118	C₂×Q₁₆	—	9	4	no	—
119	C₂×Q₁₆	—	18	16	no	—
120	C₂×Q₁₆	C₂×C₃⋊D₃	1	4	yes	—
121	C₂²×C₈	—	9	2	no	—
122	C₄⋊Q₈	—	9	4	no	—
123	C₄⋊Q₈	—	9	2	no	—
124	C₄⋊Q₈	—	18	4	no	—
125	C₄⋊Q₈	C₂×C₃⋊D₃	1	2	yes	—
126	C₂×C₄⋊C₄	—	18	4	no	—
127	C₂×C₄²	—	9	1	no	—
128	C₄×C₈	—	9	2	no	—
129	C₄×C₈	—	9	1	no	—
130	C₄×C₈	C₂×C₃⋊D₃	1	1	yes	characteristic
131	C₂²×D₃	—	3	4	no	—
132	C₃×Q₈	—	2	32	no	—
133	C₂×C₃×C₄	—	2	16	no	—
134	C₂×C₃×C₄	D₃×D₄	1	8	yes	—
135	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
136	C₂×Dic₃	—	3	8	no	—
137	C₂×Dic₃	—	3	4	no	—
138	C₂×Dic₃	—	6	16	no	—
139	C₄×D₃	—	3	32	no	—
140	C₄×D₃	—	3	16	no	—
141	C₄×D₃	—	12	32	no	—
142	Dic₆	—	6	32	no	—
143	Dic₆	—	12	32	no	—
144	C₃×C₈	D₃×D₄	1	16	yes	—
145	C₃⋊C₈	—	3	16	no	—
146	C₂×C₃²	C₂×#127	1	1	yes	characteristic
147	C₂×C₃²	C₂²×Q₁₆	1	2	yes	—
148	C₃⋊D₃	#494	1	4	yes	direct product factor
149	C₂×Q₈	—	9	4	no	—
150	C₂×Q₈	—	18	4	no	—
151	C₂×Q₈	—	18	16	no	—
152	C₂×Q₈	C₂²×C₃⋊D₃	1	4	yes	—
153	C₂²×C₄	—	9	1	no	—
154	C₂²×C₄	—	9	2	no	—
155	C₂²×C₄	—	18	4	no	—
156	Q₁₆	—	2	8	no	—
157	Q₁₆	—	18	16	no	—
158	Q₁₆	—	18	8	no	—
159	C₂×C₈	—	9	2	no	—
160	C₂×C₈	—	9	8	no	—
161	C₂×C₈	C₂²×C₃⋊D₃	1	2	yes	—
162	C₄⋊C₄	—	2	4	no	—
163	C₄⋊C₄	—	18	8	no	—
164	C₄⋊C₄	—	18	4	no	—
165	C₄²	—	9	1	no	—
166	C₄²	—	9	2	no	—
167	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
168	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
169	C₂×D₃	—	3	8	no	—
170	C₂×D₃	—	3	16	no	—
171	C₃×C₄	—	4	16	no	—
172	C₃×C₄	D₃×Q₁₆	1	16	yes	complemented
173	C₃×C₄	C₂×D₃×D₄	1	8	yes	—
174	Dic₃	—	3	8	no	—
175	Dic₃	—	3	16	no	—
176	Dic₃	—	12	16	no	—
177	C₃²	C₂×#494	1	1	yes	characteristic, complemented, Sylow
178	C₂³	—	9	1	no	—
179	Q₈	—	2	8	no	—
180	Q₈	—	18	8	no	—
181	Q₈	—	36	8	no	—
182	C₂×C₄	—	2	4	no	—
183	C₂×C₄	—	9	2	no	—
184	C₂×C₄	—	9	1	no	—
185	C₂×C₄	—	9	4	no	—
186	C₂×C₄	—	9	8	no	—
187	C₂×C₄	—	18	4	no	—
188	C₂×C₄	—	36	8	no	—
189	C₂×C₄	D₄×C₃⋊D₃	1	2	yes	—
190	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
191	C₈	—	9	4	no	—
192	C₈	D₄×C₃⋊D₃	1	4	yes	—
193	C₂×C₃	D₃×#127	1	4	yes	—
194	C₂×C₃	C₂×D₃×Q₁₆	1	8	yes	—
195	D₃	—	3	16	no	—
196	C₂²	—	9	2	no	—
197	C₂²	—	9	4	no	—
198	C₂²	C₂×D₄×C₃⋊D₃	1	1	yes	characteristic
199	C₄	—	4	4	no	—
200	C₄	—	9	2	no	—
201	C₄	—	9	4	no	—
202	C₄	—	36	4	no	—
203	C₄	Q₁₆×C₃⋊D₃	1	4	yes	complemented
204	C₄	C₂×D₄×C₃⋊D₃	1	2	yes	—
205	C₃	D₃×#494	1	4	yes	complemented
206	C₂	—	9	4	no	—
207	C₂	C₃⋊D₃×#127	1	1	yes	characteristic
208	C₂	C₂×Q₁₆×C₃⋊D₃	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×Q₁₆×C₃⋊D₃

C₂

yes

maximal

C₃⋊D₃×C₄⋊Q₈

C₂

yes

maximal

C₃²×#494

C₂

yes

maximal, characteristic, complemented

#10592882

C₂

yes

maximal, complemented

#10592791

C₂

yes

maximal, complemented

#10592398

C₂

yes

maximal, characteristic, complemented

C₄×C₈×C₃⋊D₃

C₂

yes

maximal, characteristic

D₃×#494

—

maximal

C₂×Q₈×C₃⋊D₃

C₂²

yes

—

C₂×C₃²×Q₁₆

C₂²

yes

—

C₃²×C₄⋊Q₈

C₂²

yes

—

#64153

C₂²

yes

—

C₂×#3756

C₂²

yes

—

Q₁₆×C₃⋊D₃

—

C₂×#3746

C₂²

yes

—

C₂×C₈×C₃⋊D₃

C₂²

yes

—

C₄⋊C₄×C₃⋊D₃

—

#64097

—

C₄²×C₃⋊D₃

C₂²

yes

characteristic

#64078

C₂²

yes

—

C₃²×C₄×C₈

C₂²

yes

characteristic

C₈×C₃⋊Dic₃

C₂²

yes

—

C₄×C₃⋊(C₃⋊C₈)

C₂²

yes

characteristic

C₂×D₃×Q₁₆

—

D₃×C₄⋊Q₈

—

C₃×#494

D₃

yes

—

—

—

C₄×D₃×C₈

—

C₂×C₃²×Q₈

C₂³

yes

—

Q₈×C₃⋊D₃

—

C₂×C₄×C₃⋊D₃

—

C₂×C₄×C₃⋊D₃

D₄

yes

—

C₂×C₄×C₃⋊D₃

C₂³

yes

characteristic

C₂×#634

—

C₂×#634

C₂³

yes

—

C₃²×Q₁₆

—

C₂×C₃²×C₈

C₂³

yes

—

C₃²×C₄⋊C₄

—

C₃²×C₄²

C₂³

yes

characteristic

#3756

—

C₄⋊(C₃⋊Dic₃)

—

#3750

—

C₄×C₃⋊Dic₃

D₄

yes

—

C₄×C₃⋊Dic₃

C₂³

yes

characteristic

C₂×C₃⋊(C₃⋊C₈)

C₂³

yes

—

#3746

—

C₈×C₃⋊D₃

D₄

yes

—

C₂×#494

—

Sylow

C₂×D₃×Q₈

—

C₂×C₃×Q₁₆

C₂×D₃

yes

—

C₃×C₄⋊Q₈

C₂×D₃

yes

—

#944

—

C₂×#216

—

D₃×Q₁₆

—

C₂×Dic₁₂

—

C₂×D₃×C₈

—

D₃×C₄⋊C₄

—

#888

—

C₄²×D₃

—

#869

—

C₃×C₄×C₈

C₂×D₃

yes

—

C₈×Dic₃

—

C₄×C₃⋊C₈

—

C₂²×C₃⋊D₃

C₂×D₄

yes

characteristic

C₃²×Q₈

—

C₂×C₃²×C₄

—

C₂×C₃²×C₄

C₂×D₄

yes

—

C₂×C₃²×C₄

C₂⁴

yes

characteristic

C₂×C₃⋊Dic₃

—

C₂×C₃⋊Dic₃

C₂×D₄

yes

characteristic

C₂×C₃⋊Dic₃

C₂×D₄

yes

—

C₄×C₃⋊D₃

—

C₄×C₃⋊D₃

Q₁₆

yes

complemented

C₄×C₃⋊D₃

C₂×D₄

yes

—

#634

—

#634

—

C₃²×C₈

C₂×D₄

yes

—

C₃⋊(C₃⋊C₈)

C₂×D₄

yes

—

C₂²×Q₁₆

—

C₂×C₄⋊Q₈

—

—

—

—

C₃⋊D₃

yes

characteristic, direct product factor

C₂×C₄×C₈

—

C₂×C₃×Q₈

C₂²×D₃

yes

—

D₃×Q₈

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×C₄×D₃

—

C₂×Dic₆

—

C₂×Dic₆

—

C₃×Q₁₆

—

C₂×C₃×C₈

C₂²×D₃

yes

—

C₃×C₄⋊C₄

—

C₃×C₄²

C₂²×D₃

yes

—

#216

—

100

C₄⋊Dic₃

—

101

Dic₃⋊C₄

—

102

C₄×Dic₃

—

103

C₄×Dic₃

—

104

C₂×C₃⋊C₈

—

105

Dic₁₂

—

106

D₃×C₈

—

107

C₂²×C₃²

C₂²×D₄

yes

characteristic

108

C₂×C₃⋊D₃

#127

yes

—

109

C₂×C₃⋊D₃

C₂×Q₁₆

yes

—

110

C₃²×C₄

—

111

C₃²×C₄

C₂×Q₁₆

yes

complemented

112

C₃²×C₄

C₂²×D₄

yes

—

113

C₃⋊Dic₃

—

114

C₃⋊Dic₃

#127

yes

—

115

C₃⋊Dic₃

C₂×Q₁₆

yes

complemented

116

C₂²×Q₈

—

117

C₂×Q₁₆

—

118

C₂×Q₁₆

—

119

C₂×Q₁₆

—

120

C₂×Q₁₆

C₂×C₃⋊D₃

yes

—

121

C₂²×C₈

—

122

C₄⋊Q₈

—

123

C₄⋊Q₈

—

124

C₄⋊Q₈

—

125

C₄⋊Q₈

C₂×C₃⋊D₃

yes

—

126

C₂×C₄⋊C₄

—

127

C₂×C₄²

—

128

C₄×C₈

—

129

C₄×C₈

—

130

C₄×C₈

C₂×C₃⋊D₃

yes

characteristic

131

C₂²×D₃

—

132

C₃×Q₈

—

133

C₂×C₃×C₄

—

134

C₂×C₃×C₄

D₃×D₄

yes

—

135

C₂×C₃×C₄

C₂³×D₃

yes

—

136

C₂×Dic₃

—

137

C₂×Dic₃

—

138

C₂×Dic₃

—

139

C₄×D₃

—

140

C₄×D₃

—

141

C₄×D₃

—

142

Dic₆

—

143

Dic₆

—

144

C₃×C₈

D₃×D₄

yes

—

145

C₃⋊C₈

—

146

C₂×C₃²

C₂×#127

yes

characteristic

147

C₂×C₃²

C₂²×Q₁₆

yes

—

148

C₃⋊D₃

#494

yes

direct product factor

149

C₂×Q₈

—

150

C₂×Q₈

—

151

C₂×Q₈

—

152

C₂×Q₈

C₂²×C₃⋊D₃

yes

—

153

C₂²×C₄

—

154

C₂²×C₄

—

155

C₂²×C₄

—

156

Q₁₆

—

157

Q₁₆

—

158

Q₁₆

—

159

C₂×C₈

—

160

C₂×C₈

—

161

C₂×C₈

C₂²×C₃⋊D₃

yes

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄²

—

166

C₄²

—

167

C₄²

C₂²×C₃⋊D₃

yes

characteristic

168

C₂²×C₃

C₂×D₃×D₄

yes

—

169

C₂×D₃

—

170

C₂×D₃

—

171

C₃×C₄

—

172

C₃×C₄

D₃×Q₁₆

yes

complemented

173

C₃×C₄

C₂×D₃×D₄

yes

—

174

Dic₃

—

175

Dic₃

—

176

Dic₃

—

177

C₃²

C₂×#494

yes

characteristic, complemented, Sylow

178

C₂³

—

179

Q₈

—

180

Q₈

—

181

Q₈

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

D₄×C₃⋊D₃

yes

—

190

C₂×C₄

C₂³×C₃⋊D₃

yes

characteristic

191

C₈

—

192

C₈

D₄×C₃⋊D₃

yes

—

193

C₂×C₃

D₃×#127

yes

—

194

C₂×C₃

C₂×D₃×Q₁₆

yes

—

195

D₃

—

196

C₂²

—

197

C₂²

—

198

C₂²

C₂×D₄×C₃⋊D₃

yes

characteristic

199

C₄

—

200

C₄

—

201

C₄

—

202

C₄

—

203

C₄

Q₁₆×C₃⋊D₃

yes

complemented

204

C₄

C₂×D₄×C₃⋊D₃

yes

—

205

C₃

D₃×#494

yes

complemented

206

C₂

—

207

C₂

C₃⋊D₃×#127

yes

characteristic

208

C₂

C₂×Q₁₆×C₃⋊D₃

yes

—

	subgroup	G/H
center	C₂²	C₂×D₄×C₃⋊D₃
commutator, cosocle	C₂×C₃²×C₄	C₂⁴
Frattini	C₂×C₄	C₂³×C₃⋊D₃
Fitting	C₃²×#494	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₂²×C₃⋊D₃	C₂×D₄
hypercenter	#494	C₃⋊D₃
hypocenter	C₃²	C₂×#494
LCS	G ▷ C₂×C₃²×C₄ ▷ C₂×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #494

subgroup

G/H

center

C₂²

C₂×D₄×C₃⋊D₃

commutator, cosocle

C₂×C₃²×C₄

C₂⁴

Frattini

C₂×C₄

C₂³×C₃⋊D₃

Fitting

C₃²×#494

C₂

socle

C₂²×C₃²

C₂²×D₄

prime radical

C₂²×C₃⋊D₃

C₂×D₄

C₃⋊D₃

C₃²

G ▷ C₂×C₃²×C₄ ▷ C₂×C₃² ▷ C₃²

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #494

N	H ≅ G/N	type
3. C₃²×#494	C₂	semidirect
4. #10592882	C₂	semidirect
5. #10592791	C₂	semidirect
6. #10592398	C₂	semidirect
26. C₃×#494	D₃	semidirect
75. C₄×C₃⋊D₃	Q₁₆	semidirect
86. #494	C₃⋊D₃	direct (N × H)
111. C₃²×C₄	C₂×Q₁₆	semidirect
115. C₃⋊Dic₃	C₂×Q₁₆	semidirect
148. C₃⋊D₃	#494	direct (N × H)
172. C₃×C₄	D₃×Q₁₆	semidirect
177. C₃²	C₂×#494	semidirect
203. C₄	Q₁₆×C₃⋊D₃	semidirect
205. C₃	D₃×#494	semidirect

H ≅ G/N

type

3. C₃²×#494

C₂

semidirect

4. #10592882

C₂

semidirect

5. #10592791

C₂

semidirect

6. #10592398

C₂

semidirect

26. C₃×#494

D₃

semidirect

75. C₄×C₃⋊D₃

Q₁₆

semidirect

86. #494

C₃⋊D₃

direct (N × H)

111. C₃²×C₄

C₂×Q₁₆

semidirect

115. C₃⋊Dic₃

C₂×Q₁₆

semidirect

148. C₃⋊D₃

#494

direct (N × H)

172. C₃×C₄

D₃×Q₁₆

semidirect

177. C₃²

C₂×#494

semidirect

203. C₄

Q₁₆×C₃⋊D₃

semidirect

205. C₃

D₃×#494

semidirect

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

subgroup	index
C₂×Q₁₆×C₃⋊D₃	2
C₃⋊D₃×C₄⋊Q₈	2
C₃²×#494	2
#10592882	2
#10592791	2
#10592398	2
C₄×C₈×C₃⋊D₃	2
D₃×#494	3

subgroup

index

C₂×Q₁₆×C₃⋊D₃

C₃⋊D₃×C₄⋊Q₈

C₃²×#494

C₄×C₈×C₃⋊D₃

Subgroups — C₃⋊D₃×#494 #11874200

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C3⋊D3×#494 #11874200

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃⋊D₃×#494 #11874200