Group #14518885 — subgroups

Subgroups — C₃×Dic₆×3₋¹⁺² #14518885

Order 1944.

774 conjugacy classes of subgroups; only the 288 normal subgroups are shown.

normal subgroups only

This group has 774 conjugacy classes of subgroups — too many to draw. Only its 288 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	C₃²×C₄×3₋¹⁺²	C₂	1	1	yes	maximal, characteristic
2	C₃×Dic₃×3₋¹⁺²	C₂	1	2	yes	maximal
3	C₃³×Dic₆	C₃	1	1	yes	maximal, characteristic
4	C₃×Q₈×3₋¹⁺²	—	3	1	no	maximal
5	Dic₆×3₋¹⁺²	C₃	1	9	yes	maximal, direct product factor
6	C₃×C₉×Dic₆	C₃	1	3	yes	maximal, complemented
7	C₂×C₃²×3₋¹⁺²	C₂²	1	1	yes	characteristic
8	C₃⁴×C₄	C₂×C₃	1	1	yes	characteristic
9	C₃³×Dic₃	C₂×C₃	1	2	yes	—
10	C₃×C₄×3₋¹⁺²	—	2	1	no	—
11	C₃×C₄×3₋¹⁺²	—	2	9	no	—
12	C₃×C₄×3₋¹⁺²	—	2	3	no	—
13	C₃×C₄×3₋¹⁺²	—	3	2	no	—
14	C₃×C₄×3₋¹⁺²	D₃	1	1	yes	characteristic
15	C₃×C₄×3₋¹⁺²	C₂×C₃	1	9	yes	—
16	C₃²×C₄×C₉	C₂×C₃	1	3	yes	—
17	Dic₃×3₋¹⁺²	C₂×C₃	1	18	yes	—
18	C₃×C₉×Dic₃	C₂×C₃	1	6	yes	—
19	C₃²×3₋¹⁺²	Q₈	1	1	yes	characteristic, complemented, Sylow
20	C₃³×Q₈	—	3	1	no	—
21	C₃²×Dic₆	—	3	3	no	—
22	C₃²×Dic₆	C₃²	1	3	yes	—
23	C₃²×Dic₆	C₃²	1	1	yes	characteristic
24	Q₈×3₋¹⁺²	—	3	9	no	—
25	C₃×Q₈×C₉	—	3	3	no	—
26	C₉×Dic₆	C₃²	1	9	yes	complemented
27	C₂×C₃⁴	C₂²×C₃	1	1	yes	characteristic
28	C₂×C₃×3₋¹⁺²	—	2	1	no	—
29	C₂×C₃×3₋¹⁺²	—	2	9	no	—
30	C₂×C₃×3₋¹⁺²	—	2	3	no	—
31	C₂×C₃×3₋¹⁺²	C₂×D₃	1	1	yes	characteristic
32	C₂×C₃×3₋¹⁺²	C₂²×C₃	1	9	yes	—
33	C₂×C₃²×C₉	C₂²×C₃	1	3	yes	—
34	C₃³×C₄	—	2	3	no	—
35	C₃³×C₄	—	2	1	no	—
36	C₃³×C₄	—	3	3	no	—
37	C₃³×C₄	—	3	2	no	—
38	C₃³×C₄	—	6	3	no	—
39	C₃³×C₄	C₃×D₃	1	1	yes	characteristic
40	C₃³×C₄	C₂×C₃²	1	1	yes	characteristic
41	C₃³×C₄	C₂×C₃²	1	3	yes	—
42	C₃²×Dic₃	—	3	6	no	—
43	C₃²×Dic₃	C₂×C₃²	1	6	yes	—
44	C₃²×Dic₃	C₂×C₃²	1	2	yes	—
45	C₄×3₋¹⁺²	—	2	9	no	—
46	C₄×3₋¹⁺²	—	2	27	no	—
47	C₄×3₋¹⁺²	—	3	18	no	—
48	C₄×3₋¹⁺²	C₃×D₃	1	9	yes	—
49	C₃×C₄×C₉	—	2	3	no	—
50	C₃×C₄×C₉	—	2	9	no	—
51	C₃×C₄×C₉	—	3	6	no	—
52	C₃×C₄×C₉	C₃×D₃	1	3	yes	—
53	C₃×C₄×C₉	C₂×C₃²	1	9	yes	—
54	C₉×Dic₃	C₂×C₃²	1	18	yes	—
55	C₃⁴	C₃×Q₈	1	1	yes	characteristic
56	C₃×3₋¹⁺²	—	2	1	no	—
57	C₃×3₋¹⁺²	—	2	9	no	—
58	C₃×3₋¹⁺²	—	2	3	no	—
59	C₃×3₋¹⁺²	Dic₆	1	1	yes	characteristic, direct product factor
60	C₃×3₋¹⁺²	C₃×Q₈	1	9	yes	complemented
61	C₃²×C₉	C₃×Q₈	1	3	yes	complemented
62	C₃²×Q₈	—	3	1	no	—
63	C₃²×Q₈	—	3	3	no	—
64	C₃²×Q₈	—	9	3	no	—
65	C₃×Dic₆	—	3	3	no	—
66	C₃×Dic₆	3₋¹⁺²	1	3	yes	direct product factor
67	C₃×Dic₆	C₃³	1	1	yes	characteristic
68	Q₈×C₉	—	3	9	no	—
69	C₂×C₃³	—	2	3	no	—
70	C₂×C₃³	—	2	1	no	—
71	C₂×C₃³	—	3	3	no	—
72	C₂×C₃³	—	6	3	no	—
73	C₂×C₃³	C₂×C₃×D₃	1	1	yes	characteristic
74	C₂×C₃³	C₂²×C₃²	1	1	yes	characteristic
75	C₂×C₃³	C₂²×C₃²	1	3	yes	—
76	C₂×3₋¹⁺²	—	2	9	no	—
77	C₂×3₋¹⁺²	—	2	27	no	—
78	C₂×3₋¹⁺²	C₂×C₃×D₃	1	9	yes	—
79	C₂×C₃×C₉	—	2	3	no	—
80	C₂×C₃×C₉	—	2	9	no	—
81	C₂×C₃×C₉	C₂×C₃×D₃	1	3	yes	—
82	C₂×C₃×C₉	C₂²×C₃²	1	9	yes	—
83	C₃²×C₄	—	2	3	no	—
84	C₃²×C₄	—	2	1	no	—
85	C₃²×C₄	—	2	3	no	—
86	C₃²×C₄	—	3	2	no	—
87	C₃²×C₄	—	3	3	no	—
88	C₃²×C₄	—	3	3	no	—
89	C₃²×C₄	—	3	6	no	—
90	C₃²×C₄	—	6	9	no	—
91	C₃²×C₄	—	6	3	no	—
92	C₃²×C₄	—	6	3	no	—
93	C₃²×C₄	—	9	6	no	—
94	C₃²×C₄	C₂×3₋¹⁺²	1	3	yes	—
95	C₃²×C₄	C₃²×D₃	1	3	yes	—
96	C₃²×C₄	C₃²×D₃	1	1	yes	characteristic
97	C₃²×C₄	C₂×C₃³	1	1	yes	characteristic
98	C₃×Dic₃	—	3	6	no	—
99	C₃×Dic₃	C₂×3₋¹⁺²	1	6	yes	—
100	C₃×Dic₃	C₂×C₃³	1	2	yes	—
101	C₄×C₉	—	2	9	no	—
102	C₄×C₉	—	3	18	no	—
103	C₄×C₉	C₃²×D₃	1	9	yes	—
104	C₃³	—	2	3	no	—
105	C₃³	—	2	1	no	—
106	C₃³	—	3	3	no	—
107	C₃³	—	6	3	no	—
108	C₃³	C₃×Dic₆	1	1	yes	characteristic
109	C₃³	C₃²×Q₈	1	1	yes	characteristic
110	C₃³	C₃²×Q₈	1	3	yes	—
111	3₋¹⁺²	—	2	9	no	—
112	3₋¹⁺²	—	2	27	no	—
113	3₋¹⁺²	C₃×Dic₆	1	9	yes	direct product factor
114	C₃×C₉	—	2	3	no	—
115	C₃×C₉	—	2	9	no	—
116	C₃×C₉	C₃×Dic₆	1	3	yes	complemented
117	C₃×C₉	C₃²×Q₈	1	9	yes	complemented
118	C₃×Q₈	—	3	3	no	—
119	C₃×Q₈	—	3	1	no	—
120	C₃×Q₈	—	9	3	no	—
121	Dic₆	C₃×3₋¹⁺²	1	1	yes	characteristic, direct product factor
122	C₂×C₃²	—	2	3	no	—
123	C₂×C₃²	—	2	1	no	—
124	C₂×C₃²	—	2	3	no	—
125	C₂×C₃²	—	3	3	no	—
126	C₂×C₃²	—	3	3	no	—
127	C₂×C₃²	—	6	9	no	—
128	C₂×C₃²	—	6	3	no	—
129	C₂×C₃²	—	6	3	no	—
130	C₂×C₃²	C₂²×3₋¹⁺²	1	3	yes	—
131	C₂×C₃²	C₂×C₃²×D₃	1	3	yes	—
132	C₂×C₃²	C₂×C₃²×D₃	1	1	yes	characteristic
133	C₂×C₃²	C₂²×C₃³	1	1	yes	characteristic
134	C₂×C₉	—	2	9	no	—
135	C₂×C₉	C₂×C₃²×D₃	1	9	yes	—
136	C₃×C₄	—	2	3	no	—
137	C₃×C₄	—	2	1	no	—
138	C₃×C₄	—	3	6	no	—
139	C₃×C₄	—	3	2	no	—
140	C₃×C₄	—	3	3	no	—
141	C₃×C₄	—	6	3	no	—
142	C₃×C₄	—	9	6	no	—
143	C₃×C₄	D₃×3₋¹⁺²	1	3	yes	—
144	C₃×C₄	C₂×C₃×3₋¹⁺²	1	1	yes	characteristic
145	C₃×C₄	C₃³×D₃	1	1	yes	characteristic
146	Dic₃	C₂×C₃×3₋¹⁺²	1	2	yes	—
147	C₃²	—	2	1	no	—
148	C₃²	—	2	3	no	—
149	C₃²	—	2	3	no	—
150	C₃²	—	3	3	no	—
151	C₃²	—	3	3	no	—
152	C₃²	—	6	3	no	—
153	C₃²	—	6	9	no	—
154	C₃²	—	6	3	no	—
155	C₃²	Q₈×3₋¹⁺²	1	3	yes	complemented
156	C₃²	C₃²×Dic₆	1	3	yes	—
157	C₃²	C₃²×Dic₆	1	1	yes	characteristic
158	C₃²	C₃³×Q₈	1	1	yes	characteristic
159	C₉	—	2	9	no	—
160	C₉	C₃²×Dic₆	1	9	yes	complemented
161	Q₈	—	3	1	no	Sylow
162	C₂×C₃	—	2	3	no	—
163	C₂×C₃	—	2	1	no	—
164	C₂×C₃	—	3	3	no	—
165	C₂×C₃	—	6	3	no	—
166	C₂×C₃	C₂×D₃×3₋¹⁺²	1	3	yes	—
167	C₂×C₃	C₂²×C₃×3₋¹⁺²	1	1	yes	characteristic
168	C₂×C₃	C₂×C₃³×D₃	1	1	yes	characteristic
169	C₄	—	3	2	no	—
170	C₄	C₃×D₃×3₋¹⁺²	1	1	yes	characteristic
171	C₃	—	2	3	no	—
172	C₃	—	2	1	no	—
173	C₃	—	3	3	no	—
174	C₃	—	6	3	no	—
175	C₃	Dic₆×3₋¹⁺²	1	3	yes	direct product factor
176	C₃	C₃×Q₈×3₋¹⁺²	1	1	yes	characteristic, complemented
177	C₃	C₃³×Dic₆	1	1	yes	characteristic
178	C₂	C₂×C₃×D₃×3₋¹⁺²	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₃²×C₄×3₋¹⁺²

C₂

yes

maximal, characteristic

C₃×Dic₃×3₋¹⁺²

C₂

yes

maximal

C₃³×Dic₆

C₃

yes

maximal, characteristic

C₃×Q₈×3₋¹⁺²

—

maximal

Dic₆×3₋¹⁺²

C₃

yes

maximal, direct product factor

C₃×C₉×Dic₆

C₃

yes

maximal, complemented

C₂×C₃²×3₋¹⁺²

C₂²

yes

characteristic

C₃⁴×C₄

C₂×C₃

yes

characteristic

C₃³×Dic₃

C₂×C₃

yes

—

C₃×C₄×3₋¹⁺²

—

C₃×C₄×3₋¹⁺²

—

C₃×C₄×3₋¹⁺²

—

C₃×C₄×3₋¹⁺²

—

C₃×C₄×3₋¹⁺²

D₃

yes

characteristic

C₃×C₄×3₋¹⁺²

C₂×C₃

yes

—

C₃²×C₄×C₉

C₂×C₃

yes

—

Dic₃×3₋¹⁺²

C₂×C₃

yes

—

C₃×C₉×Dic₃

C₂×C₃

yes

—

C₃²×3₋¹⁺²

Q₈

yes

characteristic, complemented, Sylow

C₃³×Q₈

—

C₃²×Dic₆

—

C₃²×Dic₆

C₃²

yes

—

C₃²×Dic₆

C₃²

yes

characteristic

Q₈×3₋¹⁺²

—

C₃×Q₈×C₉

—

C₉×Dic₆

C₃²

yes

complemented

C₂×C₃⁴

C₂²×C₃

yes

characteristic

C₂×C₃×3₋¹⁺²

—

C₂×C₃×3₋¹⁺²

—

C₂×C₃×3₋¹⁺²

—

C₂×C₃×3₋¹⁺²

C₂×D₃

yes

characteristic

C₂×C₃×3₋¹⁺²

C₂²×C₃

yes

—

C₂×C₃²×C₉

C₂²×C₃

yes

—

C₃³×C₄

—

C₃³×C₄

—

C₃³×C₄

—

C₃³×C₄

—

C₃³×C₄

—

C₃³×C₄

C₃×D₃

yes

characteristic

C₃³×C₄

C₂×C₃²

yes

characteristic

C₃³×C₄

C₂×C₃²

yes

—

C₃²×Dic₃

—

C₃²×Dic₃

C₂×C₃²

yes

—

C₃²×Dic₃

C₂×C₃²

yes

—

C₄×3₋¹⁺²

—

C₄×3₋¹⁺²

—

C₄×3₋¹⁺²

—

C₄×3₋¹⁺²

C₃×D₃

yes

—

C₃×C₄×C₉

—

C₃×C₄×C₉

—

C₃×C₄×C₉

—

C₃×C₄×C₉

C₃×D₃

yes

—

C₃×C₄×C₉

C₂×C₃²

yes

—

C₉×Dic₃

C₂×C₃²

yes

—

C₃⁴

C₃×Q₈

yes

characteristic

C₃×3₋¹⁺²

—

C₃×3₋¹⁺²

—

C₃×3₋¹⁺²

—

C₃×3₋¹⁺²

Dic₆

yes

characteristic, direct product factor

C₃×3₋¹⁺²

C₃×Q₈

yes

complemented

C₃²×C₉

C₃×Q₈

yes

complemented

C₃²×Q₈

—

C₃²×Q₈

—

C₃²×Q₈

—

C₃×Dic₆

—

C₃×Dic₆

3₋¹⁺²

yes

direct product factor

C₃×Dic₆

C₃³

yes

characteristic

Q₈×C₉

—

C₂×C₃³

—

C₂×C₃³

—

C₂×C₃³

—

C₂×C₃³

—

C₂×C₃³

C₂×C₃×D₃

yes

characteristic

C₂×C₃³

C₂²×C₃²

yes

characteristic

C₂×C₃³

C₂²×C₃²

yes

—

C₂×3₋¹⁺²

—

C₂×3₋¹⁺²

—

C₂×3₋¹⁺²

C₂×C₃×D₃

yes

—

C₂×C₃×C₉

—

C₂×C₃×C₉

—

C₂×C₃×C₉

C₂×C₃×D₃

yes

—

C₂×C₃×C₉

C₂²×C₃²

yes

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

—

C₃²×C₄

C₂×3₋¹⁺²

yes

—

C₃²×C₄

C₃²×D₃

yes

—

C₃²×C₄

C₃²×D₃

yes

characteristic

C₃²×C₄

C₂×C₃³

yes

characteristic

C₃×Dic₃

—

C₃×Dic₃

C₂×3₋¹⁺²

yes

—

100

C₃×Dic₃

C₂×C₃³

yes

—

101

C₄×C₉

—

102

C₄×C₉

—

103

C₄×C₉

C₃²×D₃

yes

—

104

C₃³

—

105

C₃³

—

106

C₃³

—

107

C₃³

—

108

C₃³

C₃×Dic₆

yes

characteristic

109

C₃³

C₃²×Q₈

yes

characteristic

110

C₃³

C₃²×Q₈

yes

—

111

3₋¹⁺²

—

112

3₋¹⁺²

—

113

3₋¹⁺²

C₃×Dic₆

yes

direct product factor

114

C₃×C₉

—

115

C₃×C₉

—

116

C₃×C₉

C₃×Dic₆

yes

complemented

117

C₃×C₉

C₃²×Q₈

yes

complemented

118

C₃×Q₈

—

119

C₃×Q₈

—

120

C₃×Q₈

—

121

Dic₆

C₃×3₋¹⁺²

yes

characteristic, direct product factor

122

C₂×C₃²

—

123

C₂×C₃²

—

124

C₂×C₃²

—

125

C₂×C₃²

—

126

C₂×C₃²

—

127

C₂×C₃²

—

128

C₂×C₃²

—

129

C₂×C₃²

—

130

C₂×C₃²

C₂²×3₋¹⁺²

yes

—

131

C₂×C₃²

C₂×C₃²×D₃

yes

—

132

C₂×C₃²

C₂×C₃²×D₃

yes

characteristic

133

C₂×C₃²

C₂²×C₃³

yes

characteristic

134

C₂×C₉

—

135

C₂×C₉

C₂×C₃²×D₃

yes

—

136

C₃×C₄

—

137

C₃×C₄

—

138

C₃×C₄

—

139

C₃×C₄

—

140

C₃×C₄

—

141

C₃×C₄

—

142

C₃×C₄

—

143

C₃×C₄

D₃×3₋¹⁺²

yes

—

144

C₃×C₄

C₂×C₃×3₋¹⁺²

yes

characteristic

145

C₃×C₄

C₃³×D₃

yes

characteristic

146

Dic₃

C₂×C₃×3₋¹⁺²

yes

—

147

C₃²

—

148

C₃²

—

149

C₃²

—

150

C₃²

—

151

C₃²

—

152

C₃²

—

153

C₃²

—

154

C₃²

—

155

C₃²

Q₈×3₋¹⁺²

yes

complemented

156

C₃²

C₃²×Dic₆

yes

—

157

C₃²

C₃²×Dic₆

yes

characteristic

158

C₃²

C₃³×Q₈

yes

characteristic

159

C₉

—

160

C₉

C₃²×Dic₆

yes

complemented

161

Q₈

—

Sylow

162

C₂×C₃

—

163

C₂×C₃

—

164

C₂×C₃

—

165

C₂×C₃

—

166

C₂×C₃

C₂×D₃×3₋¹⁺²

yes

—

167

C₂×C₃

C₂²×C₃×3₋¹⁺²

yes

characteristic

168

C₂×C₃

C₂×C₃³×D₃

yes

characteristic

169

C₄

—

170

C₄

C₃×D₃×3₋¹⁺²

yes

characteristic

171

C₃

—

172

C₃

—

173

C₃

—

174

C₃

—

175

C₃

Dic₆×3₋¹⁺²

yes

direct product factor

176

C₃

C₃×Q₈×3₋¹⁺²

yes

characteristic, complemented

177

C₃

C₃³×Dic₆

yes

characteristic

178

C₂

C₂×C₃×D₃×3₋¹⁺²

yes

characteristic

	subgroup	G/H
center	C₂×C₃²	C₂×C₃²×D₃
commutator, cosocle	C₂×C₃²	C₂²×C₃³
Frattini	C₂×C₃	C₂×C₃³×D₃
Fitting	C₃²×C₄×3₋¹⁺²	C₂
socle	C₂×C₃³	C₂²×C₃²
prime radical	C₂×C₃⁴	C₂²×C₃
hypercenter	C₃×C₄×3₋¹⁺²	D₃
hypocenter	C₃	C₃×Q₈×3₋¹⁺²
LCS	G ▷ C₂×C₃² ▷ C₃
UCS	C₁ ◁ C₂×C₃² ◁ C₃×C₄×3₋¹⁺²

subgroup

G/H

center

C₂×C₃²

C₂×C₃²×D₃

commutator, cosocle

C₂×C₃²

C₂²×C₃³

Frattini

C₂×C₃

C₂×C₃³×D₃

Fitting

C₃²×C₄×3₋¹⁺²

C₂

socle

C₂×C₃³

C₂²×C₃²

prime radical

C₂×C₃⁴

C₂²×C₃

hypercenter

C₃×C₄×3₋¹⁺²

D₃

hypocenter

C₃

C₃×Q₈×3₋¹⁺²

LCS

G ▷ C₂×C₃² ▷ C₃

UCS

C₁ ◁ C₂×C₃² ◁ C₃×C₄×3₋¹⁺²

N	H ≅ G/N	type
5. Dic₆×3₋¹⁺²	C₃	direct (N × H)
6. C₃×C₉×Dic₆	C₃	semidirect
19. C₃²×3₋¹⁺²	Q₈	semidirect
26. C₉×Dic₆	C₃²	semidirect
59. C₃×3₋¹⁺²	Dic₆	direct (N × H)
60. C₃×3₋¹⁺²	C₃×Q₈	semidirect
61. C₃²×C₉	C₃×Q₈	semidirect
66. C₃×Dic₆	3₋¹⁺²	direct (N × H)
113. 3₋¹⁺²	C₃×Dic₆	direct (N × H)
116. C₃×C₉	C₃×Dic₆	semidirect
117. C₃×C₉	C₃²×Q₈	semidirect
121. Dic₆	C₃×3₋¹⁺²	direct (N × H)
155. C₃²	Q₈×3₋¹⁺²	semidirect
160. C₉	C₃²×Dic₆	semidirect
175. C₃	Dic₆×3₋¹⁺²	direct (N × H)
176. C₃	C₃×Q₈×3₋¹⁺²	semidirect

H ≅ G/N

type

5. Dic₆×3₋¹⁺²

C₃

direct (N × H)

6. C₃×C₉×Dic₆

C₃

semidirect

19. C₃²×3₋¹⁺²

Q₈

semidirect

26. C₉×Dic₆

C₃²

semidirect

59. C₃×3₋¹⁺²

Dic₆

direct (N × H)

60. C₃×3₋¹⁺²

C₃×Q₈

semidirect

61. C₃²×C₉

C₃×Q₈

semidirect

66. C₃×Dic₆

3₋¹⁺²

direct (N × H)

113. 3₋¹⁺²

C₃×Dic₆

direct (N × H)

116. C₃×C₉

C₃×Dic₆

semidirect

117. C₃×C₉

C₃²×Q₈

semidirect

121. Dic₆

C₃×3₋¹⁺²

direct (N × H)

155. C₃²

Q₈×3₋¹⁺²

semidirect

160. C₉

C₃²×Dic₆

semidirect

175. C₃

Dic₆×3₋¹⁺²

direct (N × H)

176. C₃

C₃×Q₈×3₋¹⁺²

semidirect

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

subgroup	index
C₃²×C₄×3₋¹⁺²	2
C₃×Dic₃×3₋¹⁺²	2
C₃³×Dic₆	3
C₃×Q₈×3₋¹⁺²	3
Dic₆×3₋¹⁺²	3
C₃×C₉×Dic₆	3

subgroup

index

C₃²×C₄×3₋¹⁺²

C₃×Dic₃×3₋¹⁺²

C₃³×Dic₆

C₃×Q₈×3₋¹⁺²

Dic₆×3₋¹⁺²

C₃×C₉×Dic₆

Subgroups — C₃×Dic₆×3₋¹⁺² #14518885

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C3×Dic6×3−1+2 #14518885

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×Dic₆×3₋¹⁺² #14518885