Group #10632020 — subgroups

Subgroups — C₃×#13413 #10632020

Order 768.

540 conjugacy classes of subgroups; only the 114 normal subgroups are shown.

normal subgroups only

This group has 540 conjugacy classes of subgroups — too many to draw. Only its 114 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×C₃×#493	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#361	C₂	1	2	yes	maximal, complemented
3	C₃×#2140	C₂	1	2	yes	maximal, complemented
4	C₃×#1945	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#1376	C₂	1	1	yes	maximal, characteristic, complemented
6	#13413	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
7	C₂²×C₃×D₈	—	2	1	no	—
8	C₂²×C₃×D₈	C₂²	1	2	yes	—
9	C₂×C₃×#127	—	2	1	no	—
10	C₂×C₃×M₃₂	C₂²	1	2	yes	—
11	C₃×#493	—	2	4	no	—
12	C₂×C₃×#108	C₂²	1	1	yes	characteristic
13	C₃×#427	C₂²	1	1	yes	characteristic
14	C₃×#424	—	2	1	no	—
15	C₂×C₃×C₄×C₈	C₂²	1	1	yes	characteristic
16	C₃×#361	—	2	4	no	—
17	C₃×#357	—	2	4	no	—
18	C₃×#339	—	2	1	no	—
19	C₂×#493	C₂×C₃	1	1	yes	characteristic
20	C₂×#361	C₂×C₃	1	2	yes	complemented
21	#2140	C₂×C₃	1	2	yes	complemented
22	#1945	C₂×C₃	1	1	yes	characteristic, complemented
23	#1376	C₂×C₃	1	1	yes	characteristic, complemented
24	C₂²×C₃×D₄	—	2	2	no	—
25	C₂²×C₃×D₄	—	4	2	no	—
26	C₂×C₃×D₈	—	2	4	no	—
27	C₂×C₃×D₈	—	2	2	no	—
28	C₂×C₃×D₈	—	2	2	no	—
29	C₂×C₃×D₈	—	2	2	no	—
30	C₂×C₃×D₈	—	2	2	no	—
31	C₂×C₃×D₈	—	2	2	no	—
32	C₂×C₃×D₈	—	4	2	no	—
33	C₂×C₃×D₈	—	4	2	no	—
34	C₂×C₃×D₈	D₄	1	4	yes	—
35	C₂×C₃×M₁₆	—	2	1	no	—
36	C₂²×C₃×C₈	D₄	1	1	yes	characteristic
37	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
38	C₃×#127	—	2	4	no	—
39	C₃×#127	—	4	2	no	—
40	C₃×#117	—	2	1	no	—
41	C₂×C₃×C₄²	D₄	1	1	yes	characteristic
42	C₃×M₃₂	—	2	2	no	—
43	C₃×M₃₂	—	2	2	no	—
44	C₂×C₃×C₁₆	—	2	2	no	—
45	C₃×#108	—	2	2	no	—
46	C₃×#107	D₄	1	2	yes	complemented
47	C₃×#106	—	2	1	no	—
48	C₃×C₄⋊C₈	—	4	2	no	—
49	C₃×C₄×C₈	—	2	2	no	—
50	C₂²×D₈	—	2	1	no	—
51	C₂²×D₈	C₂²×C₃	1	2	yes	—
52	C₂×#127	—	2	1	no	—
53	C₂×M₃₂	C₂²×C₃	1	2	yes	—
54	#493	—	2	4	no	—
55	C₂×#108	C₂²×C₃	1	1	yes	characteristic
56	#427	C₂²×C₃	1	1	yes	characteristic
57	#424	—	2	1	no	—
58	C₂×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
59	#361	—	2	4	no	—
60	#357	—	2	4	no	—
61	#339	—	2	1	no	—
62	C₂⁴×C₃	—	4	2	no	—
63	C₂×C₃×D₄	—	2	4	no	—
64	C₂×C₃×D₄	—	4	8	no	—
65	C₂×C₃×D₄	—	4	2	no	—
66	C₂×C₃×D₄	—	4	2	no	—
67	C₂×C₃×D₄	—	4	2	no	—
68	C₂×C₃×D₄	—	4	2	no	—
69	C₂×C₃×D₄	—	4	2	no	—
70	C₂×C₃×D₄	—	8	8	no	—
71	C₂²×C₃×C₄	—	2	1	no	—
72	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
73	C₃×D₈	—	2	4	no	—
74	C₃×D₈	—	2	4	no	—
75	C₃×D₈	—	4	8	no	—
76	C₃×D₈	—	4	2	no	—
77	C₃×D₈	—	4	2	no	—
78	C₃×M₁₆	—	4	1	no	—
79	C₃×M₁₆	—	4	1	no	—
80	C₂×C₃×C₈	—	2	1	no	—
81	C₂×C₃×C₈	—	2	1	no	—
82	C₂×C₃×C₈	—	4	1	no	—
83	C₂×C₃×C₈	D₈	1	2	yes	—
84	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
85	C₂×C₃×C₈	C₂×D₄	1	2	yes	—
86	C₂×C₃×C₈	#41	1	2	yes	—
87	C₂×C₃×C₈	#41	1	1	yes	characteristic
88	C₃×C₄⋊C₄	—	2	2	no	—
89	C₃×C₂²⋊C₄	—	4	1	no	—
90	C₃×C₄²	—	2	1	no	—
91	C₃×C₄²	—	4	1	no	—
92	C₃×C₄²	SD₁₆	1	2	yes	—
93	C₃×C₁₆	—	4	2	no	—
94	C₂²×D₄	—	2	2	no	—
95	C₂²×D₄	—	4	2	no	—
96	C₂×D₈	—	2	4	no	—
97	C₂×D₈	—	2	2	no	—
98	C₂×D₈	—	2	2	no	—
99	C₂×D₈	—	2	2	no	—
100	C₂×D₈	—	2	2	no	—
101	C₂×D₈	—	2	2	no	—
102	C₂×D₈	—	4	2	no	—
103	C₂×D₈	—	4	2	no	—
104	C₂×D₈	C₃×D₄	1	4	yes	—
105	C₂×M₁₆	—	2	1	no	—
106	C₂²×C₈	C₃×D₄	1	1	yes	characteristic
107	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
108	#127	—	2	4	no	—
109	#127	—	4	2	no	—
110	#117	—	2	1	no	—
111	C₂×C₄²	C₃×D₄	1	1	yes	characteristic
112	M₃₂	—	2	2	no	—
113	M₃₂	—	2	2	no	—
114	C₂×C₁₆	—	2	2	no	—
115	#108	—	2	2	no	—
116	#107	C₃×D₄	1	2	yes	complemented
117	#106	—	2	1	no	—
118	C₄⋊C₈	—	4	2	no	—
119	C₄×C₈	—	2	2	no	—
120	C₂³×C₃	—	4	4	no	—
121	C₂³×C₃	—	8	8	no	—
122	C₂³×C₃	—	8	2	no	—
123	C₂³×C₃	—	8	2	no	—
124	C₂³×C₃	AGL(1,ℤ/8)	1	1	yes	characteristic
125	C₃×D₄	—	4	4	no	—
126	C₃×D₄	—	4	4	no	—
127	C₃×D₄	—	8	16	no	—
128	C₃×D₄	—	8	2	no	—
129	C₃×D₄	—	8	2	no	—
130	C₂×C₃×C₄	—	2	4	no	—
131	C₂×C₃×C₄	—	2	2	no	—
132	C₂×C₃×C₄	—	4	2	no	—
133	C₂×C₃×C₄	#120	1	1	yes	characteristic
134	C₂×C₃×C₄	#121	1	1	yes	characteristic
135	C₂×C₃×C₄	#124	1	1	yes	characteristic
136	C₂×C₃×C₄	C₂×D₈	1	1	yes	characteristic
137	C₂×C₃×C₄	C₂×SD₁₆	1	1	yes	characteristic
138	C₂×C₃×C₄	AGL(1,ℤ/8)	1	1	yes	characteristic
139	C₃×C₈	—	2	2	no	—
140	C₃×C₈	—	8	1	no	—
141	C₃×C₈	#121	1	2	yes	—
142	C₃×C₈	#123	1	2	yes	—
143	C₂⁴	—	4	2	no	—
144	C₂×D₄	—	2	4	no	—
145	C₂×D₄	—	4	8	no	—
146	C₂×D₄	—	4	2	no	—
147	C₂×D₄	—	4	2	no	—
148	C₂×D₄	—	4	2	no	—
149	C₂×D₄	—	4	2	no	—
150	C₂×D₄	—	4	2	no	—
151	C₂×D₄	—	8	8	no	—
152	C₂²×C₄	—	2	1	no	—
153	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
154	D₈	—	2	4	no	—
155	D₈	—	2	4	no	—
156	D₈	—	4	8	no	—
157	D₈	—	4	2	no	—
158	D₈	—	4	2	no	—
159	M₁₆	—	4	1	no	—
160	M₁₆	—	4	1	no	—
161	C₂×C₈	—	2	1	no	—
162	C₂×C₈	—	2	1	no	—
163	C₂×C₈	—	4	1	no	—
164	C₂×C₈	C₃×D₈	1	2	yes	—
165	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
166	C₂×C₈	C₂×C₃×D₄	1	2	yes	—
167	C₂×C₈	C₃×#41	1	2	yes	—
168	C₂×C₈	C₃×#41	1	1	yes	characteristic
169	C₄⋊C₄	—	2	2	no	—
170	C₂²⋊C₄	—	4	1	no	—
171	C₄²	—	2	1	no	—
172	C₄²	—	4	1	no	—
173	C₄²	C₃×SD₁₆	1	2	yes	—
174	C₁₆	—	4	2	no	—
175	C₂²×C₃	—	2	2	no	—
176	C₂²×C₃	—	8	8	no	—
177	C₂²×C₃	—	8	4	no	—
178	C₂²×C₃	—	16	4	no	—
179	C₂²×C₃	—	16	4	no	—
180	C₂²×C₃	#450	1	1	yes	characteristic
181	C₂²×C₃	#459	1	1	yes	characteristic
182	C₂²×C₃	#490	1	1	yes	characteristic
183	C₃×C₄	—	2	4	no	—
184	C₃×C₄	—	8	2	no	—
185	C₃×C₄	#394	1	1	yes	characteristic
186	C₃×C₄	#447	1	1	yes	characteristic
187	C₃×C₄	#460	1	1	yes	characteristic
188	C₃×C₄	#486	1	1	yes	characteristic
189	C₂³	—	4	4	no	—
190	C₂³	—	8	8	no	—
191	C₂³	—	8	2	no	—
192	C₂³	—	8	2	no	—
193	C₂³	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
194	D₄	—	4	4	no	—
195	D₄	—	4	4	no	—
196	D₄	—	8	16	no	—
197	D₄	—	8	2	no	—
198	D₄	—	8	2	no	—
199	C₂×C₄	—	2	4	no	—
200	C₂×C₄	—	2	2	no	—
201	C₂×C₄	—	4	2	no	—
202	C₂×C₄	C₃×#120	1	1	yes	characteristic
203	C₂×C₄	C₃×#121	1	1	yes	characteristic
204	C₂×C₄	C₃×#124	1	1	yes	characteristic
205	C₂×C₄	C₂×C₃×D₈	1	1	yes	characteristic
206	C₂×C₄	C₂×C₃×SD₁₆	1	1	yes	characteristic
207	C₂×C₄	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
208	C₈	—	2	2	no	—
209	C₈	—	8	1	no	—
210	C₈	C₃×#121	1	2	yes	—
211	C₈	C₃×#123	1	2	yes	—
212	C₂×C₃	—	2	1	no	—
213	C₂×C₃	—	2	1	no	—
214	C₂×C₃	—	16	4	no	—
215	C₂×C₃	#2041	1	1	yes	characteristic
216	C₂×C₃	#2213	1	2	yes	—
217	C₂²	—	2	2	no	—
218	C₂²	—	8	8	no	—
219	C₂²	—	8	4	no	—
220	C₂²	—	16	4	no	—
221	C₂²	—	16	4	no	—
222	C₂²	C₃×#450	1	1	yes	characteristic
223	C₂²	C₃×#459	1	1	yes	characteristic
224	C₂²	C₃×#490	1	1	yes	characteristic
225	C₄	—	2	4	no	—
226	C₄	—	8	2	no	—
227	C₄	C₃×#394	1	1	yes	characteristic
228	C₄	C₃×#447	1	1	yes	characteristic
229	C₄	C₃×#460	1	1	yes	characteristic
230	C₄	C₃×#486	1	1	yes	characteristic
231	C₃	#13413	1	1	yes	characteristic, direct product factor, Sylow
232	C₂	—	2	1	no	—
233	C₂	—	2	1	no	—
234	C₂	—	16	4	no	—
235	C₂	C₃×#2041	1	1	yes	characteristic
236	C₂	C₃×#2213	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₃×#493

C₂

yes

maximal, characteristic

C₂×C₃×#361

C₂

yes

maximal, complemented

C₃×#2140

C₂

yes

maximal, complemented

C₃×#1945

C₂

yes

maximal, characteristic, complemented

C₃×#1376

C₂

yes

maximal, characteristic, complemented

#13413

C₃

yes

maximal, characteristic, direct product factor, Sylow

C₂²×C₃×D₈

—

C₂²×C₃×D₈

C₂²

yes

—

C₂×C₃×#127

—

C₂×C₃×M₃₂

C₂²

yes

—

C₃×#493

—

C₂×C₃×#108

C₂²

yes

characteristic

C₃×#427

C₂²

yes

characteristic

C₃×#424

—

C₂×C₃×C₄×C₈

C₂²

yes

—

—

—

C₂×C₃

yes

characteristic

C₂×#361

C₂×C₃

yes

complemented

#2140

C₂×C₃

yes

complemented

#1945

C₂×C₃

yes

characteristic, complemented

#1376

C₂×C₃

yes

characteristic, complemented

C₂²×C₃×D₄

—

C₂²×C₃×D₄

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

—

C₂×C₃×D₈

D₄

yes

—

C₂×C₃×M₁₆

—

C₂²×C₃×C₈

D₄

yes

characteristic

C₂²×C₃×C₈

C₂³

yes

—

—

—

C₂×C₃×C₄²

D₄

yes

characteristic

C₃×M₃₂

—

C₃×M₃₂

—

C₂×C₃×C₁₆

—

C₃×#108

—

C₃×#107

D₄

yes

complemented

C₃×#106

—

C₃×C₄⋊C₈

—

C₃×C₄×C₈

—

C₂²×D₈

—

C₂²×D₈

C₂²×C₃

yes

—

C₂×#127

—

C₂×M₃₂

C₂²×C₃

yes

—

#493

—

C₂×#108

C₂²×C₃

yes

characteristic

#427

C₂²×C₃

yes

characteristic

#424

—

C₂×C₄×C₈

C₂²×C₃

yes

—

—

—

C₂⁴×C₃

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂×C₃×D₄

—

C₂²×C₃×C₄

—

C₂²×C₃×C₄

C₂×D₄

yes

characteristic

C₃×D₈

—

C₃×D₈

—

C₃×D₈

—

C₃×D₈

—

C₃×D₈

—

C₃×M₁₆

—

C₃×M₁₆

—

C₂×C₃×C₈

—

C₂×C₃×C₈

—

C₂×C₃×C₈

—

C₂×C₃×C₈

D₈

yes

—

C₂×C₃×C₈

C₂×D₄

yes

characteristic

C₂×C₃×C₈

C₂×D₄

yes

—

C₂×C₃×C₈

#41

yes

—

C₂×C₃×C₈

#41

yes

characteristic

C₃×C₄⋊C₄

—

C₃×C₂²⋊C₄

—

C₃×C₄²

—

C₃×C₄²

—

C₃×C₄²

SD₁₆

yes

—

C₃×C₁₆

—

C₂²×D₄

—

C₂²×D₄

—

C₂×D₈

—

C₂×D₈

—

C₂×D₈

—

C₂×D₈

—

100

C₂×D₈

—

101

C₂×D₈

—

102

C₂×D₈

—

103

C₂×D₈

—

104

C₂×D₈

C₃×D₄

yes

—

105

C₂×M₁₆

—

106

C₂²×C₈

C₃×D₄

yes

characteristic

107

C₂²×C₈

C₂³×C₃

yes

characteristic

108

#127

—

109

#127

—

110

#117

—

111

C₂×C₄²

C₃×D₄

yes

characteristic

112

M₃₂

—

113

M₃₂

—

114

C₂×C₁₆

—

115

#108

—

116

#107

C₃×D₄

yes

complemented

117

#106

—

118

C₄⋊C₈

—

119

C₄×C₈

—

120

C₂³×C₃

—

121

C₂³×C₃

—

122

C₂³×C₃

—

123

C₂³×C₃

—

124

C₂³×C₃

AGL(1,ℤ/8)

yes

characteristic

125

C₃×D₄

—

126

C₃×D₄

—

127

C₃×D₄

—

128

C₃×D₄

—

129

C₃×D₄

—

130

C₂×C₃×C₄

—

131

C₂×C₃×C₄

—

132

C₂×C₃×C₄

—

133

C₂×C₃×C₄

#120

yes

characteristic

134

C₂×C₃×C₄

#121

yes

characteristic

135

C₂×C₃×C₄

#124

yes

characteristic

136

C₂×C₃×C₄

C₂×D₈

yes

characteristic

137

C₂×C₃×C₄

C₂×SD₁₆

yes

characteristic

138

C₂×C₃×C₄

AGL(1,ℤ/8)

yes

characteristic

139

C₃×C₈

—

140

C₃×C₈

—

141

C₃×C₈

#121

yes

—

142

C₃×C₈

#123

yes

—

143

C₂⁴

—

144

C₂×D₄

—

145

C₂×D₄

—

146

C₂×D₄

—

147

C₂×D₄

—

148

C₂×D₄

—

149

C₂×D₄

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂²×C₄

—

153

C₂²×C₄

C₂×C₃×D₄

yes

characteristic

154

D₈

—

155

D₈

—

156

D₈

—

157

D₈

—

158

D₈

—

159

M₁₆

—

160

M₁₆

—

161

C₂×C₈

—

162

C₂×C₈

—

163

C₂×C₈

—

164

C₂×C₈

C₃×D₈

yes

—

165

C₂×C₈

C₂×C₃×D₄

yes

characteristic

166

C₂×C₈

C₂×C₃×D₄

yes

—

167

C₂×C₈

C₃×#41

yes

—

168

C₂×C₈

C₃×#41

yes

characteristic

169

C₄⋊C₄

—

170

C₂²⋊C₄

—

171

C₄²

—

172

C₄²

—

173

C₄²

C₃×SD₁₆

yes

—

174

C₁₆

—

175

C₂²×C₃

—

176

C₂²×C₃

—

177

C₂²×C₃

—

178

C₂²×C₃

—

179

C₂²×C₃

—

180

C₂²×C₃

#450

yes

characteristic

181

C₂²×C₃

#459

yes

characteristic

182

C₂²×C₃

#490

yes

characteristic

183

C₃×C₄

—

184

C₃×C₄

—

185

C₃×C₄

#394

yes

characteristic

186

C₃×C₄

#447

yes

characteristic

187

C₃×C₄

#460

yes

characteristic

188

C₃×C₄

#486

yes

characteristic

189

C₂³

—

190

C₂³

—

191

C₂³

—

192

C₂³

—

193

C₂³

C₃×AGL(1,ℤ/8)

yes

characteristic

194

D₄

—

195

D₄

—

196

D₄

—

197

D₄

—

198

D₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

C₃×#120

yes

characteristic

203

C₂×C₄

C₃×#121

yes

characteristic

204

C₂×C₄

C₃×#124

yes

characteristic

205

C₂×C₄

C₂×C₃×D₈

yes

characteristic

206

C₂×C₄

C₂×C₃×SD₁₆

yes

characteristic

207

C₂×C₄

C₃×AGL(1,ℤ/8)

yes

characteristic

208

C₈

—

209

C₈

—

210

C₈

C₃×#121

yes

—

211

C₈

C₃×#123

yes

—

212

C₂×C₃

—

213

C₂×C₃

—

214

C₂×C₃

—

215

C₂×C₃

#2041

yes

characteristic

216

C₂×C₃

#2213

yes

—

217

C₂²

—

218

C₂²

—

219

C₂²

—

220

C₂²

—

221

C₂²

—

222

C₂²

C₃×#450

yes

characteristic

223

C₂²

C₃×#459

yes

characteristic

224

C₂²

C₃×#490

yes

characteristic

225

C₄

—

226

C₄

—

227

C₄

C₃×#394

yes

characteristic

228

C₄

C₃×#447

yes

characteristic

229

C₄

C₃×#460

yes

characteristic

230

C₄

C₃×#486

yes

characteristic

231

C₃

#13413

yes

characteristic, direct product factor, Sylow

232

C₂

—

233

C₂

—

234

C₂

—

235

C₂

C₃×#2041

yes

characteristic

236

C₂

C₃×#2213

yes

—

	subgroup	G/H
center, socle	C₂²×C₃	#459
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₃
prime radical	C₂×C₃×#493	C₂
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×C₄×C₈ ◁ G

subgroup

G/H

center, socle

C₂²×C₃

#459

commutator, Frattini, cosocle

C₂²×C₈

C₂³×C₃

prime radical

C₂×C₃×#493

C₂

LCS

G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂²×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×C₄×C₈ ◁ G

N	H ≅ G/N	type
2. C₂×C₃×#361	C₂	semidirect
3. C₃×#2140	C₂	semidirect
4. C₃×#1945	C₂	semidirect
5. C₃×#1376	C₂	semidirect
6. #13413	C₃	direct (N × H)
20. C₂×#361	C₂×C₃	semidirect
21. #2140	C₂×C₃	semidirect
22. #1945	C₂×C₃	semidirect
23. #1376	C₂×C₃	semidirect
46. C₃×#107	D₄	semidirect
116. #107	C₃×D₄	semidirect
231. C₃	#13413	direct (N × H)

H ≅ G/N

type

2. C₂×C₃×#361

C₂

semidirect

3. C₃×#2140

C₂

semidirect

4. C₃×#1945

C₂

semidirect

5. C₃×#1376

C₂

semidirect

6. #13413

C₃

direct (N × H)

20. C₂×#361

C₂×C₃

semidirect

21. #2140

C₂×C₃

semidirect

22. #1945

C₂×C₃

semidirect

23. #1376

C₂×C₃

semidirect

46. C₃×#107

D₄

semidirect

116. #107

C₃×D₄

semidirect

231. C₃

#13413

direct (N × H)

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

subgroup	index
C₂×C₃×#493	2
C₂×C₃×#361	2
C₃×#2140	2
C₃×#1945	2
C₃×#1376	2
#13413	3

subgroup

index

C₂×C₃×#493

C₂×C₃×#361

Subgroups — C₃×#13413 #10632020

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C3×#13413 #10632020

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#13413 #10632020