Group #14568540 — subgroups

Subgroups — #14568540

Order 2432.

604 conjugacy classes of subgroups; only the 169 normal subgroups are shown.

normal subgroups only

This group has 604 conjugacy classes of subgroups — too many to draw. Only its 169 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×#10597392	C₂	1	2	yes	maximal, complemented
2	C₂×C₄×D₇₆	C₂	1	1	yes	maximal, characteristic
3	#11926474	C₂	1	2	yes	maximal, complemented
4	#11926461	C₂	1	2	yes	maximal
5	#11926435	C₂	1	4	yes	maximal, complemented
6	#11926410	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926401	C₂	1	2	yes	maximal, complemented
8	C₂×C₄×Q₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic
10	C₂²×D₇₆	C₂²	1	1	yes	characteristic
11	C₂²×C₄×D₁₉	C₂²	1	2	yes	—
12	C₄×Q₈×C₁₉	—	2	4	no	—
13	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
15	C₂×C₄²×C₁₉	C₂²	1	2	yes	—
16	C₂×C₄²×C₁₉	C₂²	1	1	yes	characteristic
17	#10597392	—	2	8	no	—
18	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	4	yes	—
19	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	2	yes	—
20	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	4	yes	—
21	C₂×C₄⋊Dic₁₉	C₂²	1	2	yes	—
22	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
23	C₂×Dic₁₉⋊C₄	C₂²	1	4	yes	—
24	C₄×D₇₆	—	2	4	no	—
25	C₁₉⋊#95	C₂²	1	4	yes	—
26	C₁₉⋊#95	C₂²	1	2	yes	—
27	C₁₉⋊#95	C₂²	1	2	yes	—
28	C₂³×D₁₉	C₂³	1	2	yes	—
29	C₂×Q₈×C₁₉	—	2	2	no	—
30	C₂×Q₈×C₁₉	—	2	2	no	—
31	C₂×Q₈×C₁₉	D₄	1	4	yes	complemented
32	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
33	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
34	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
35	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
36	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
37	C₂²×Dic₁₉	C₂³	1	2	yes	—
38	C₂²×Dic₁₉	C₂³	1	4	yes	—
39	C₂×D₇₆	—	2	4	no	—
40	C₂×D₇₆	—	2	2	no	—
41	C₂×C₄×D₁₉	—	2	4	no	—
42	C₂×C₄×D₁₉	—	2	4	no	—
43	C₂×C₄×D₁₉	—	2	4	no	—
44	C₄⋊C₄×C₁₉	—	2	4	no	—
45	C₄⋊C₄×C₁₉	—	2	2	no	—
46	C₄²×C₁₉	—	2	4	no	—
47	C₄²×C₁₉	D₄	1	4	yes	—
48	(C₂×D₁₉)⋊C₄	—	2	8	no	—
49	(C₂×D₁₉)⋊C₄	—	2	8	no	—
50	(C₂×D₁₉)⋊C₄	—	2	4	no	—
51	C₄⋊Dic₁₉	—	2	4	no	—
52	C₄⋊Dic₁₉	—	2	2	no	—
53	Dic₁₉⋊C₄	—	2	8	no	—
54	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
55	C₂²×D₁₉	—	2	2	no	—
56	C₂²×D₁₉	—	2	2	no	—
57	C₂²×D₁₉	—	2	2	no	—
58	C₂²×D₁₉	—	2	2	no	—
59	C₂²×D₁₉	—	2	2	no	—
60	C₂²×D₁₉	—	2	2	no	—
61	C₂²×D₁₉	#41	1	4	yes	—
62	Q₈×C₁₉	—	2	8	no	—
63	C₂×C₄×C₁₉	—	2	2	no	—
64	C₂×C₄×C₁₉	—	2	2	no	—
65	C₂×C₄×C₁₉	—	2	2	no	—
66	C₂×C₄×C₁₉	—	2	2	no	—
67	C₂×C₄×C₁₉	—	2	2	no	—
68	C₂×C₄×C₁₉	—	2	4	no	—
69	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
70	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
71	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
72	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
73	C₂×C₄×C₁₉	C₂×D₄	1	2	yes	—
74	C₂×C₄×C₁₉	#41	1	2	yes	—
75	C₂×Dic₁₉	—	2	2	no	—
76	C₂×Dic₁₉	—	2	4	no	—
77	C₂×Dic₁₉	—	2	2	no	—
78	C₂×Dic₁₉	—	2	4	no	—
79	C₂×Dic₁₉	—	2	2	no	—
80	C₂×Dic₁₉	—	2	4	no	—
81	D₇₆	—	2	8	no	—
82	C₄×D₁₉	—	4	8	no	—
83	#2536	—	19	1	no	maximal, Sylow
84	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
85	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
86	C₂²×C₁₉	C₂×#41	1	1	yes	characteristic
87	C₂²×C₁₉	C₂×#41	1	2	yes	—
88	C₂²×C₁₉	2₋¹⁺⁴	1	2	yes	—
89	C₂×D₁₉	—	2	4	no	—
90	C₂×D₁₉	—	2	4	no	—
91	C₂×D₁₉	—	2	4	no	—
92	C₂×D₁₉	—	4	2	no	—
93	C₂×D₁₉	—	4	2	no	—
94	C₂×D₁₉	—	4	2	no	—
95	C₂×D₁₉	—	4	2	no	—
96	C₄×C₁₉	—	2	4	no	—
97	C₄×C₁₉	—	2	2	no	—
98	C₄×C₁₉	—	2	2	no	—
99	C₄×C₁₉	—	4	2	no	—
100	C₄×C₁₉	#121	1	4	yes	—
101	Dic₁₉	—	4	2	no	—
102	Dic₁₉	—	4	4	no	—
103	C₂×C₂²⋊Q₈	—	19	2	no	—
104	C₂×C₄×Q₈	D₁₉	1	1	yes	characteristic, complemented
105	C₂×C₄×D₄	—	19	1	no	—
106	#398	—	19	2	no	—
107	#394	—	19	2	no	—
108	#388	—	19	4	no	—
109	#382	—	19	1	no	—
110	#380	—	19	2	no	—
111	C₂×C₁₉	C₂×#121	1	1	yes	characteristic
112	C₂×C₁₉	#525	1	1	yes	characteristic
113	C₂×C₁₉	#536	1	1	yes	characteristic
114	C₂×C₁₉	#548	1	2	yes	—
115	C₂×C₁₉	#552	1	2	yes	—
116	D₁₉	—	4	4	no	—
117	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic
118	C₂²×D₄	—	19	1	no	—
119	C₂³×C₄	—	19	2	no	—
120	C₂²⋊Q₈	—	38	8	no	—
121	C₄×Q₈	—	2	4	no	—
122	C₄×D₄	—	38	4	no	—
123	C₂×C₄⋊C₄	—	19	1	no	—
124	C₂×C₄⋊C₄	—	19	2	no	—
125	C₂×C₄⋊C₄	—	19	4	no	—
126	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
127	C₂×C₄⋊C₄	C₂×D₁₉	1	2	yes	—
128	C₂×C₂²⋊C₄	—	19	2	no	—
129	C₂×C₂²⋊C₄	—	19	4	no	—
130	C₂×C₂²⋊C₄	—	19	4	no	—
131	C₂×C₄²	C₂×D₁₉	1	2	yes	—
132	C₂×C₄²	C₂×D₁₉	1	1	yes	characteristic
133	#95	—	19	4	no	—
134	#95	—	19	2	no	—
135	#95	—	19	2	no	—
136	C₁₉	#2536	1	1	yes	characteristic, complemented, Sylow
137	C₂⁴	—	19	2	no	—
138	C₂×Q₈	—	2	2	no	—
139	C₂×Q₈	—	2	2	no	—
140	C₂×Q₈	D₇₆	1	4	yes	complemented
141	C₂×D₄	—	38	4	no	—
142	C₂×D₄	—	38	2	no	—
143	C₂²×C₄	—	19	4	no	—
144	C₂²×C₄	—	19	2	no	—
145	C₂²×C₄	—	38	4	no	—
146	C₂²×C₄	—	38	4	no	—
147	C₂²×C₄	—	38	4	no	—
148	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
149	C₂²×C₄	C₂²×D₁₉	1	2	yes	—
150	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
151	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
152	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
153	C₄⋊C₄	—	2	4	no	—
154	C₄⋊C₄	—	2	2	no	—
155	C₄⋊C₄	—	38	8	no	—
156	C₄⋊C₄	—	38	4	no	—
157	C₄⋊C₄	—	38	2	no	—
158	C₂²⋊C₄	—	38	8	no	—
159	C₂²⋊C₄	—	38	8	no	—
160	C₂²⋊C₄	—	38	4	no	—
161	C₄²	—	2	4	no	—
162	C₄²	C₂²⋊D₁₉	1	4	yes	—
163	C₂³	—	19	4	no	—
164	C₂³	—	38	2	no	—
165	C₂³	—	38	2	no	—
166	C₂³	—	38	2	no	—
167	C₂³	—	38	2	no	—
168	C₂³	—	38	2	no	—
169	C₂³	—	38	2	no	—
170	C₂³	C₂³×D₁₉	1	1	yes	characteristic
171	Q₈	—	2	8	no	—
172	D₄	—	38	8	no	—
173	C₂×C₄	—	2	2	no	—
174	C₂×C₄	—	2	2	no	—
175	C₂×C₄	—	2	2	no	—
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	2	4	no	—
178	C₂×C₄	—	2	2	no	—
179	C₂×C₄	—	38	4	no	—
180	C₂×C₄	—	38	2	no	—
181	C₂×C₄	—	38	2	no	—
182	C₂×C₄	—	38	4	no	—
183	C₂×C₄	—	38	4	no	—
184	C₂×C₄	—	38	2	no	—
185	C₂×C₄	—	76	8	no	—
186	C₂×C₄	C₂×D₇₆	1	4	yes	—
187	C₂×C₄	C₂×D₇₆	1	2	yes	—
188	C₂×C₄	#64541	1	2	yes	—
189	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
190	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
191	C₂×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
192	C₂²	—	38	4	no	—
193	C₂²	—	38	4	no	—
194	C₂²	—	38	4	no	—
195	C₂²	—	76	2	no	—
196	C₂²	—	76	2	no	—
197	C₂²	—	76	2	no	—
198	C₂²	—	76	2	no	—
199	C₂²	C₂²×D₇₆	1	1	yes	characteristic
200	C₂²	C₂×#64541	1	1	yes	characteristic
201	C₂²	#10597433	1	2	yes	—
202	C₂²	#41×D₁₉	1	2	yes	—
203	C₂²	C₂²×C₂²⋊D₁₉	1	1	yes	characteristic
204	C₄	—	2	2	no	—
205	C₄	—	2	2	no	—
206	C₄	—	2	4	no	—
207	C₄	—	4	2	no	—
208	C₄	—	76	4	no	—
209	C₄	—	76	2	no	—
210	C₄	#10597376	1	4	yes	—
211	C₂	—	76	4	no	—
212	C₂	C₂×#10597376	1	1	yes	characteristic
213	C₂	#11927051	1	1	yes	characteristic
214	C₂	#11927118	1	1	yes	characteristic
215	C₂	#11927206	1	2	yes	—
216	C₂	#11927235	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#10597392

C₂

yes

maximal, complemented

C₂×C₄×D₇₆

C₂

yes

maximal, characteristic

#11926474

C₂

yes

maximal, complemented

#11926461

C₂

yes

maximal

#11926435

C₂

yes

maximal, complemented

#11926410

C₂

yes

maximal, characteristic, complemented

#11926401

C₂

yes

maximal, complemented

C₂×C₄×Q₈×C₁₉

C₂

yes

maximal, characteristic, complemented

C₂²×Q₈×C₁₉

C₂²

yes

characteristic

C₂²×D₇₆

C₂²

yes

characteristic

C₂²×C₄×D₁₉

C₂²

yes

—

C₄×Q₈×C₁₉

—

C₂×C₄⋊C₄×C₁₉

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₁₉

C₂²

yes

—

C₂×C₄²×C₁₉

C₂²

yes

—

C₂×C₄²×C₁₉

C₂²

yes

characteristic

#10597392

—

C₂×(C₂×D₁₉)⋊C₄

C₂²

yes

—

C₂×(C₂×D₁₉)⋊C₄

C₂²

yes

—

C₂×(C₂×D₁₉)⋊C₄

C₂²

yes

—

C₂×C₄⋊Dic₁₉

C₂²

yes

—

C₂×C₄⋊Dic₁₉

C₂²

yes

characteristic

C₂×Dic₁₉⋊C₄

C₂²

yes

—

C₄×D₇₆

—

C₁₉⋊#95

C₂²

yes

—

C₁₉⋊#95

C₂²

yes

—

C₁₉⋊#95

C₂²

yes

—

C₂³×D₁₉

C₂³

yes

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

D₄

yes

complemented

C₂²×C₄×C₁₉

C₂³

yes

—

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×C₄×C₁₉

C₂³

yes

—

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×Dic₁₉

C₂³

yes

—

C₂²×Dic₁₉

C₂³

yes

—

C₂×D₇₆

—

C₂×D₇₆

—

C₂×C₄×D₁₉

—

C₂×C₄×D₁₉

—

C₂×C₄×D₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

D₄

yes

—

(C₂×D₁₉)⋊C₄

—

(C₂×D₁₉)⋊C₄

—

(C₂×D₁₉)⋊C₄

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

Dic₁₉⋊C₄

—

C₂³×C₁₉

C₂⁴

yes

characteristic

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

—

C₂²×D₁₉

#41

yes

—

Q₈×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₄×C₁₉

#41

yes

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

D₇₆

—

C₄×D₁₉

—

#2536

—

maximal, Sylow

C₂²×C₁₉

C₂²×D₄

yes

characteristic

C₂²×C₁₉

C₂²×D₄

yes

characteristic

C₂²×C₁₉

C₂×#41

yes

characteristic

C₂²×C₁₉

C₂×#41

yes

—

C₂²×C₁₉

2₋¹⁺⁴

yes

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₂×D₁₉

—

C₄×C₁₉

—

C₄×C₁₉

—

C₄×C₁₉

—

C₄×C₁₉

—

100

C₄×C₁₉

#121

yes

—

101

Dic₁₉

—

102

Dic₁₉

—

103

C₂×C₂²⋊Q₈

—

104

C₂×C₄×Q₈

D₁₉

yes

characteristic, complemented

105

C₂×C₄×D₄

—

106

#398

—

107

#394

—

108

#388

—

109

#382

—

110

#380

—

111

C₂×C₁₉

C₂×#121

yes

characteristic

112

C₂×C₁₉

#525

yes

characteristic

113

C₂×C₁₉

#536

yes

characteristic

114

C₂×C₁₉

#548

yes

—

115

C₂×C₁₉

#552

yes

—

116

D₁₉

—

117

C₂²×Q₈

C₂×D₁₉

yes

characteristic

118

C₂²×D₄

—

119

C₂³×C₄

—

120

C₂²⋊Q₈

—

121

C₄×Q₈

—

122

C₄×D₄

—

123

C₂×C₄⋊C₄

—

124

C₂×C₄⋊C₄

—

125

C₂×C₄⋊C₄

—

126

C₂×C₄⋊C₄

C₂×D₁₉

yes

characteristic

127

C₂×C₄⋊C₄

C₂×D₁₉

yes

—

128

C₂×C₂²⋊C₄

—

129

C₂×C₂²⋊C₄

—

130

C₂×C₂²⋊C₄

—

131

C₂×C₄²

C₂×D₁₉

yes

—

132

C₂×C₄²

C₂×D₁₉

yes

characteristic

133

#95

—

134

#95

—

135

#95

—

136

C₁₉

#2536

yes

characteristic, complemented, Sylow

137

C₂⁴

—

138

C₂×Q₈

—

139

C₂×Q₈

—

140

C₂×Q₈

D₇₆

yes

complemented

141

C₂×D₄

—

142

C₂×D₄

—

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

—

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

C₂²×D₁₉

yes

—

149

C₂²×C₄

C₂²×D₁₉

yes

—

150

C₂²×C₄

C₂²×D₁₉

yes

characteristic

151

C₂²×C₄

C₂²×D₁₉

yes

characteristic

152

C₂²×C₄

C₂²×D₁₉

yes

characteristic

153

C₄⋊C₄

—

154

C₄⋊C₄

—

155

C₄⋊C₄

—

156

C₄⋊C₄

—

157

C₄⋊C₄

—

158

C₂²⋊C₄

—

159

C₂²⋊C₄

—

160

C₂²⋊C₄

—

161

C₄²

—

162

C₄²

C₂²⋊D₁₉

yes

—

163

C₂³

—

164

C₂³

—

165

C₂³

—

166

C₂³

—

167

C₂³

—

168

C₂³

—

169

C₂³

—

170

C₂³

C₂³×D₁₉

yes

characteristic

171

Q₈

—

172

D₄

—

173

C₂×C₄

—

174

C₂×C₄

—

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

C₂×D₇₆

yes

—

187

C₂×C₄

C₂×D₇₆

yes

—

188

C₂×C₄

#64541

yes

—

189

C₂×C₄

C₂×C₂²⋊D₁₉

yes

—

190

C₂×C₄

C₂×C₂²⋊D₁₉

yes

—

191

C₂×C₄

C₂×C₂²⋊D₁₉

yes

—

192

C₂²

—

193

C₂²

—

194

C₂²

—

195

C₂²

—

196

C₂²

—

197

C₂²

—

198

C₂²

—

199

C₂²

C₂²×D₇₆

yes

characteristic

200

C₂²

C₂×#64541

yes

characteristic

201

C₂²

#10597433

yes

—

202

C₂²

#41×D₁₉

yes

—

203

C₂²

C₂²×C₂²⋊D₁₉

yes

characteristic

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

208

C₄

—

209

C₄

—

210

C₄

#10597376

yes

—

211

C₂

—

212

C₂

C₂×#10597376

yes

characteristic

213

C₂

#11927051

yes

characteristic

214

C₂

#11927118

yes

characteristic

215

C₂

#11927206

yes

—

216

C₂

#11927235

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₁₉
commutator, socle, cosocle	C₂³×C₁₉	C₂⁴
Fitting	C₂×C₄×Q₈×C₁₉	C₂
prime radical	C₂²×D₇₆	C₂²
hypercenter	C₂×C₄×Q₈	D₁₉
hypocenter	C₁₉	#2536
LCS	G ▷ C₂³×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×Q₈

subgroup

G/H

center, Frattini

C₂³

C₂³×D₁₉

commutator, socle, cosocle

C₂³×C₁₉

C₂⁴

Fitting

C₂×C₄×Q₈×C₁₉

C₂

prime radical

C₂²×D₇₆

C₂²

hypercenter

C₂×C₄×Q₈

D₁₉

C₁₉

G ▷ C₂³×C₁₉ ▷ C₁₉

C₁ ◁ C₂³ ◁ C₂×C₄×Q₈

N	H ≅ G/N	type
1. C₂×#10597392	C₂	semidirect
3. #11926474	C₂	semidirect
5. #11926435	C₂	semidirect
6. #11926410	C₂	semidirect
7. #11926401	C₂	semidirect
8. C₂×C₄×Q₈×C₁₉	C₂	semidirect
31. C₂×Q₈×C₁₉	D₄	semidirect
104. C₂×C₄×Q₈	D₁₉	semidirect
136. C₁₉	#2536	semidirect
140. C₂×Q₈	D₇₆	semidirect

H ≅ G/N

type

1. C₂×#10597392

C₂

semidirect

3. #11926474

C₂

semidirect

5. #11926435

C₂

semidirect

6. #11926410

C₂

semidirect

7. #11926401

C₂

semidirect

8. C₂×C₄×Q₈×C₁₉

C₂

semidirect

31. C₂×Q₈×C₁₉

D₄

semidirect

104. C₂×C₄×Q₈

D₁₉

semidirect

136. C₁₉

#2536

semidirect

140. C₂×Q₈

D₇₆

semidirect

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

subgroup	index
C₂×#10597392	2
C₂×C₄×D₇₆	2
#11926474	2
#11926461	2
#11926435	2
#11926410	2
#11926401	2
C₂×C₄×Q₈×C₁₉	2
#2536	19

subgroup

index

C₂×C₄×D₇₆

C₂×C₄×Q₈×C₁₉

Subgroups — #14568540

Conjugacy classes of subgroups

Complements

Maximal subgroups