Group #14573753 — subgroups

Subgroups — #14573753

Order 2432.

424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.

normal subgroups only

This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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×C₄×Dic₃₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#11926855	C₂	1	2	yes	maximal, complemented
3	#11926836	C₂	1	2	yes	maximal, complemented
4	#11926741	C₂	1	2	yes	maximal, complemented
5	#11926682	C₂	1	2	yes	maximal, complemented
6	#11926644	C₂	1	4	yes	maximal, complemented
7	#11926601	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#532	C₂	1	1	yes	maximal, characteristic
9	C₂×#41×C₁₉	—	2	1	no	—
10	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
11	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₁₉×#127	C₂²	1	1	yes	characteristic
13	C₁₉×#124	—	2	1	no	—
14	C₁₉×#121	—	2	1	no	—
15	C₁₉×#121	C₂²	1	2	yes	—
16	C₄×D₄×C₁₉	—	2	1	no	—
17	C₄×D₄×C₁₉	C₂²	1	2	yes	—
18	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×#64526	C₂²	1	4	yes	—
20	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
21	C₂×Dic₁₉⋊C₄	—	2	1	no	—
22	C₂×C₄×Dic₁₉	—	2	1	no	—
23	C₄×Dic₃₈	—	2	1	no	—
24	C₄×Dic₃₈	—	2	1	no	—
25	C₄×Dic₃₈	C₂²	1	2	yes	—
26	C₄×Dic₃₈	C₂²	1	2	yes	—
27	#10597289	C₂²	1	4	yes	—
28	C₂²⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
29	#10597267	C₂²	1	4	yes	—
30	#10597264	C₂²	1	4	yes	—
31	C₄⋊(C₁₉⋊C₈)	C₂²	1	2	yes	—
32	#10597260	C₂²	1	2	yes	—
33	#41×C₁₉	—	4	4	no	—
34	C₂×Q₈×C₁₉	—	2	1	no	—
35	C₂×D₄×C₁₉	—	2	2	no	—
36	C₂×D₄×C₁₉	—	2	1	no	—
37	C₂×D₄×C₁₉	—	2	1	no	—
38	C₂×D₄×C₁₉	C₂³	1	2	yes	—
39	C₂²×C₄×C₁₉	—	2	2	no	—
40	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
41	C₂²×C₄×C₁₉	D₄	1	1	yes	characteristic
42	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
43	C₂²×Dic₁₉	—	2	1	no	—
44	C₂²×Dic₁₉	—	2	1	no	—
45	C₂×Dic₃₈	—	2	1	no	—
46	C₂×Dic₃₈	—	2	4	no	—
47	C₂×Dic₃₈	C₂³	1	2	yes	—
48	C₄⋊C₄×C₁₉	—	2	1	no	—
49	C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
50	C₂²⋊C₄×C₁₉	—	2	2	no	—
51	C₂²⋊C₄×C₁₉	—	2	2	no	—
52	C₄²×C₁₉	D₄	1	1	yes	characteristic
53	C₄²×C₁₉	D₄	1	1	yes	characteristic
54	C₄²×C₁₉	C₂³	1	1	yes	characteristic
55	C₄²×C₁₉	C₂³	1	1	yes	characteristic
56	#64526	—	2	8	no	—
57	C₄⋊Dic₁₉	—	2	1	no	—
58	C₄⋊Dic₁₉	C₂³	1	2	yes	—
59	Dic₁₉⋊C₄	—	2	2	no	—
60	Dic₁₉⋊C₄	—	2	2	no	—
61	C₄×Dic₁₉	—	2	2	no	—
62	C₄×Dic₁₉	—	2	2	no	—
63	C₂×C₁₉⋊C₈	C₂³	1	4	yes	—
64	C₂³×C₁₉	—	2	2	no	—
65	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
66	Q₈×C₁₉	—	4	2	no	—
67	D₄×C₁₉	—	2	4	no	—
68	D₄×C₁₉	—	4	2	no	—
69	D₄×C₁₉	—	4	4	no	—
70	D₄×C₁₉	—	4	2	no	—
71	C₂×C₄×C₁₉	—	2	2	no	—
72	C₂×C₄×C₁₉	—	2	2	no	—
73	C₂×C₄×C₁₉	—	2	2	no	—
74	C₂×C₄×C₁₉	—	2	2	no	—
75	C₂×C₄×C₁₉	—	4	4	no	—
76	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
78	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
82	C₂×Dic₁₉	—	2	4	no	—
83	C₂×Dic₁₉	—	2	2	no	—
84	C₂×Dic₁₉	—	2	2	no	—
85	C₂×Dic₁₉	—	4	2	no	—
86	Dic₃₈	—	2	4	no	—
87	Dic₃₈	—	2	2	no	—
88	Dic₃₈	#41	1	4	yes	complemented
89	C₁₉⋊C₈	—	2	4	no	—
90	#3112	—	19	1	no	maximal, Sylow
91	C₂²×C₁₉	—	2	1	no	—
92	C₂²×C₁₉	—	2	1	no	—
93	C₂²×C₁₉	—	4	2	no	—
94	C₂²×C₁₉	—	4	2	no	—
95	C₂²×C₁₉	—	4	2	no	—
96	C₂²×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
97	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
98	C₄×C₁₉	—	2	1	no	—
99	C₄×C₁₉	—	2	1	no	—
100	C₄×C₁₉	—	2	1	no	—
101	C₄×C₁₉	—	2	1	no	—
102	C₄×C₁₉	—	4	2	no	—
103	C₄×C₁₉	#137	1	2	yes	—
104	C₄×C₁₉	C₂×#41	1	2	yes	—
105	Dic₁₉	—	2	4	no	—
106	Dic₁₉	—	4	2	no	—
107	#532	D₁₉	1	1	yes	characteristic
108	C₂×C₄×Q₈	—	19	1	no	—
109	#480	—	19	2	no	—
110	#477	—	19	2	no	—
111	#460	—	19	2	no	—
112	#448	—	19	2	no	—
113	#440	—	19	4	no	—
114	#432	—	19	1	no	—
115	C₂×C₁₉	—	2	2	no	—
116	C₂×C₁₉	—	8	2	no	—
117	C₂×C₁₉	#525	1	1	yes	characteristic
118	C₂×C₁₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
119	C₂×C₁₉	C₂×#137	1	1	yes	characteristic
120	C₂×#41	—	2	1	no	—
121	C₂²×Q₈	—	19	1	no	—
122	C₂×SD₁₆	—	19	4	no	—
123	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
124	#127	C₂×D₁₉	1	1	yes	characteristic
125	#124	—	2	1	no	—
126	#121	—	2	1	no	—
127	#121	C₂×D₁₉	1	2	yes	—
128	C₄×Q₈	—	19	2	no	—
129	C₄×Q₈	—	19	2	no	—
130	C₄×Q₈	—	38	1	no	—
131	C₄×Q₈	—	38	1	no	—
132	C₄×D₄	—	2	1	no	—
133	C₄×D₄	C₂×D₁₉	1	2	yes	—
134	C₂×C₄⋊C₄	—	19	1	no	—
135	C₂×C₄⋊C₄	—	38	1	no	—
136	C₂×C₄²	—	38	1	no	—
137	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic
138	#107	—	19	4	no	—
139	C₄⋊C₈	—	19	2	no	—
140	#103	—	19	4	no	—
141	#102	—	19	4	no	—
142	C₂²⋊C₈	—	19	2	no	—
143	#97	—	19	2	no	—
144	C₁₉	#3112	1	1	yes	characteristic, complemented, Sylow
145	#41	—	4	4	no	—
146	C₂×Q₈	—	2	1	no	—
147	C₂×Q₈	—	19	2	no	—
148	C₂×Q₈	—	38	4	no	—
149	C₂×Q₈	—	38	1	no	—
150	C₂×D₄	—	2	2	no	—
151	C₂×D₄	—	2	1	no	—
152	C₂×D₄	—	2	1	no	—
153	C₂×D₄	C₂²×D₁₉	1	2	yes	—
154	C₂²×C₄	—	2	2	no	—
155	C₂²×C₄	—	38	1	no	—
156	C₂²×C₄	—	38	1	no	—
157	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
158	C₂²×C₄	C₂²⋊D₁₉	1	1	yes	characteristic
159	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
160	SD₁₆	—	38	8	no	—
161	C₂×C₈	—	19	4	no	—
162	C₄⋊C₄	—	2	1	no	—
163	C₄⋊C₄	—	19	2	no	—
164	C₄⋊C₄	—	38	2	no	—
165	C₄⋊C₄	—	38	2	no	—
166	C₄⋊C₄	—	38	1	no	—
167	C₄⋊C₄	C₂²×D₁₉	1	2	yes	—
168	C₂²⋊C₄	—	2	2	no	—
169	C₂²⋊C₄	—	2	2	no	—
170	C₄²	—	38	2	no	—
171	C₄²	—	38	2	no	—
172	C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
173	C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
174	C₄²	C₂²×D₁₉	1	1	yes	characteristic
175	C₄²	C₂²×D₁₉	1	1	yes	characteristic
176	C₂³	—	2	2	no	—
177	C₂³	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
178	Q₈	—	4	2	no	—
179	Q₈	—	19	4	no	—
180	Q₈	—	38	4	no	—
181	Q₈	—	38	2	no	—
182	D₄	—	2	4	no	—
183	D₄	—	4	2	no	—
184	D₄	—	4	4	no	—
185	D₄	—	4	2	no	—
186	C₂×C₄	—	2	2	no	—
187	C₂×C₄	—	2	2	no	—
188	C₂×C₄	—	2	2	no	—
189	C₂×C₄	—	2	2	no	—
190	C₂×C₄	—	4	4	no	—
191	C₂×C₄	—	38	4	no	—
192	C₂×C₄	—	38	2	no	—
193	C₂×C₄	—	38	2	no	—
194	C₂×C₄	—	76	2	no	—
195	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
196	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
197	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
198	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
199	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
200	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
201	C₈	—	38	4	no	—
202	C₂²	—	2	1	no	—
203	C₂²	—	2	1	no	—
204	C₂²	—	4	2	no	—
205	C₂²	—	4	2	no	—
206	C₂²	—	4	2	no	—
207	C₂²	#10597378	1	2	yes	—
208	C₂²	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
209	C₄	—	2	1	no	—
210	C₄	—	2	1	no	—
211	C₄	—	2	1	no	—
212	C₄	—	2	1	no	—
213	C₄	—	4	2	no	—
214	C₄	—	38	4	no	—
215	C₄	—	76	2	no	—
216	C₄	#10597397	1	2	yes	—
217	C₄	#41×D₁₉	1	2	yes	—
218	C₂	—	2	2	no	—
219	C₂	—	8	2	no	—
220	C₂	#11927051	1	1	yes	characteristic
221	C₂	C₂×#10597378	1	1	yes	characteristic
222	C₂	C₂×#10597397	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×C₄×Dic₃₈

C₂

yes

maximal, characteristic, complemented

#11926855

C₂

yes

maximal, complemented

#11926836

C₂

yes

maximal, complemented

#11926741

C₂

yes

maximal, complemented

#11926682

C₂

yes

maximal, complemented

#11926644

C₂

yes

maximal, complemented

#11926601

C₂

yes

maximal, characteristic, complemented

C₁₉×#532

C₂

yes

maximal, characteristic

C₂×#41×C₁₉

—

C₂²×Dic₃₈

C₂²

yes

characteristic

C₁₉×C₄⋊Q₈

C₂²

yes

characteristic

C₁₉×#127

C₂²

yes

characteristic

C₁₉×#124

—

C₁₉×#121

—

C₁₉×#121

C₂²

yes

—

C₄×D₄×C₁₉

—

C₄×D₄×C₁₉

C₂²

yes

—

C₂×C₄²×C₁₉

C₂²

yes

characteristic

C₂×#64526

C₂²

yes

—

C₂×C₄⋊Dic₁₉

C₂²

yes

characteristic

C₂×Dic₁₉⋊C₄

—

C₂×C₄×Dic₁₉

—

C₄×Dic₃₈

—

C₄×Dic₃₈

—

C₄×Dic₃₈

C₂²

yes

—

C₄×Dic₃₈

C₂²

yes

—

#10597289

C₂²

yes

—

C₂²⋊(C₁₉⋊C₈)

C₂²

yes

—

#10597267

C₂²

yes

—

#10597264

C₂²

yes

—

C₄⋊(C₁₉⋊C₈)

C₂²

yes

—

#10597260

C₂²

yes

—

#41×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

C₂³

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

D₄

yes

characteristic

C₂²×C₄×C₁₉

D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×Dic₁₉

—

C₂²×Dic₁₉

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

C₂³

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

C₂³

yes

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

D₄

yes

characteristic

C₄²×C₁₉

D₄

yes

characteristic

C₄²×C₁₉

C₂³

yes

characteristic

C₄²×C₁₉

C₂³

yes

characteristic

#64526

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

C₂³

yes

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

—

C₄×Dic₁₉

—

C₂×C₁₉⋊C₈

C₂³

yes

—

C₂³×C₁₉

—

C₂³×C₁₉

C₂×D₄

yes

characteristic

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₄×C₁₉

C₂⁴

yes

characteristic

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

#41

yes

complemented

C₁₉⋊C₈

—

#3112

—

maximal, Sylow

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

—

C₂²×C₁₉

AGL(1,ℤ/8)

yes

—

C₂²×C₁₉

C₂²×D₄

yes

characteristic

C₄×C₁₉

—

C₄×C₁₉

—

100

C₄×C₁₉

—

101

C₄×C₁₉

—

102

C₄×C₁₉

—

103

C₄×C₁₉

#137

yes

—

104

C₄×C₁₉

C₂×#41

yes

—

105

Dic₁₉

—

106

Dic₁₉

—

107

#532

D₁₉

yes

characteristic

108

C₂×C₄×Q₈

—

109

#480

—

110

#477

—

111

#460

—

112

#448

—

113

#440

—

114

#432

—

115

C₂×C₁₉

—

116

C₂×C₁₉

—

117

C₂×C₁₉

#525

yes

characteristic

118

C₂×C₁₉

C₂×AGL(1,ℤ/8)

yes

characteristic

119

C₂×C₁₉

C₂×#137

yes

characteristic

120

C₂×#41

—

121

C₂²×Q₈

—

122

C₂×SD₁₆

—

123

C₄⋊Q₈

C₂×D₁₉

yes

characteristic

124

#127

C₂×D₁₉

yes

characteristic

125

#124

—

126

#121

—

127

#121

C₂×D₁₉

yes

—

128

C₄×Q₈

—

129

C₄×Q₈

—

130

C₄×Q₈

—

131

C₄×Q₈

—

132

C₄×D₄

—

133

C₄×D₄

C₂×D₁₉

yes

—

134

C₂×C₄⋊C₄

—

135

C₂×C₄⋊C₄

—

136

C₂×C₄²

—

137

C₂×C₄²

C₂×D₁₉

yes

characteristic

138

#107

—

139

C₄⋊C₈

—

140

#103

—

141

#102

—

142

C₂²⋊C₈

—

143

#97

—

144

C₁₉

#3112

yes

characteristic, complemented, Sylow

145

#41

—

146

C₂×Q₈

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂×D₄

C₂²×D₁₉

yes

—

154

C₂²×C₄

—

155

C₂²×C₄

—

156

C₂²×C₄

—

157

C₂²×C₄

C₂²⋊D₁₉

yes

characteristic

158

C₂²×C₄

C₂²⋊D₁₉

yes

characteristic

159

C₂²×C₄

C₂²×D₁₉

yes

characteristic

160

SD₁₆

—

161

C₂×C₈

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄⋊C₄

—

166

C₄⋊C₄

—

167

C₄⋊C₄

C₂²×D₁₉

yes

—

168

C₂²⋊C₄

—

169

C₂²⋊C₄

—

170

C₄²

—

171

C₄²

—

172

C₄²

C₂²⋊D₁₉

yes

characteristic

173

C₄²

C₂²⋊D₁₉

yes

characteristic

174

C₄²

C₂²×D₁₉

yes

characteristic

175

C₄²

C₂²×D₁₉

yes

characteristic

176

C₂³

—

177

C₂³

C₂×C₂²⋊D₁₉

yes

characteristic

178

Q₈

—

179

Q₈

—

180

Q₈

—

181

Q₈

—

182

D₄

—

183

D₄

—

184

D₄

—

185

D₄

—

186

C₂×C₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

196

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

197

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

198

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

199

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

200

C₂×C₄

C₂³×D₁₉

yes

characteristic

201

C₈

—

202

C₂²

—

203

C₂²

—

204

C₂²

—

205

C₂²

—

206

C₂²

—

207

C₂²

#10597378

yes

—

208

C₂²

C₂²×C₂²⋊D₁₉

yes

characteristic

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

—

214

C₄

—

215

C₄

—

216

C₄

#10597397

yes

—

217

C₄

#41×D₁₉

yes

—

218

C₂

—

219

C₂

—

220

C₂

#11927051

yes

characteristic

221

C₂

C₂×#10597378

yes

characteristic

222

C₂

C₂×#10597397

yes

characteristic

	subgroup	G/H
center	C₂²	C₂²×C₂²⋊D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting, prime radical	C₁₉×#532	C₂
socle	C₂²×C₁₉	C₂²×D₄
hypercenter	#532	D₁₉
hypocenter	C₁₉	#3112
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #532

subgroup

G/H

center

C₂²

C₂²×C₂²⋊D₁₉

commutator, cosocle

C₂×C₄×C₁₉

C₂⁴

Frattini

C₂×C₄

C₂³×D₁₉

Fitting, prime radical

C₁₉×#532

C₂

socle

C₂²×C₁₉

C₂²×D₄

D₁₉

C₁₉

G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #532

N	H ≅ G/N	type
1. C₂×C₄×Dic₃₈	C₂	semidirect
2. #11926855	C₂	semidirect
3. #11926836	C₂	semidirect
4. #11926741	C₂	semidirect
5. #11926682	C₂	semidirect
6. #11926644	C₂	semidirect
7. #11926601	C₂	semidirect
88. Dic₃₈	#41	semidirect
144. C₁₉	#3112	semidirect

H ≅ G/N

type

1. C₂×C₄×Dic₃₈

C₂

semidirect

2. #11926855

C₂

semidirect

3. #11926836

C₂

semidirect

4. #11926741

C₂

semidirect

5. #11926682

C₂

semidirect

6. #11926644

C₂

semidirect

7. #11926601

C₂

semidirect

88. Dic₃₈

#41

semidirect

144. C₁₉

#3112

semidirect

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

subgroup	index
C₂×C₄×Dic₃₈	2
#11926855	2
#11926836	2
#11926741	2
#11926682	2
#11926644	2
#11926601	2
C₁₉×#532	2
#3112	19

subgroup

index

C₂×C₄×Dic₃₈

C₁₉×#532

Subgroups — #14573753

Conjugacy classes of subgroups

Complements

Maximal subgroups