Group #14564736 — subgroups

Subgroups — #14564736

Order 2432.

370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.

normal subgroups only

This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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	C₂²×Dic₇₆	C₂	1	1	yes	maximal, characteristic
2	C₂²×#64528	C₂	1	1	yes	maximal, characteristic
3	C₂×#10597390	C₂	1	1	yes	maximal, characteristic
4	C₂×#10597267	C₂	1	1	yes	maximal, characteristic
5	#11926449	C₂	1	1	yes	maximal, characteristic
6	#11926298	C₂	1	1	yes	maximal, characteristic
7	C₂×C₁₉×#103	C₂	1	1	yes	maximal, characteristic
8	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic
9	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
10	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
11	C₂²×C₈×C₁₉	C₂²	1	1	yes	characteristic
12	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
13	#10597390	—	2	2	no	—
14	#10597390	—	2	2	no	—
15	C₂×#64528	—	2	2	no	—
16	C₂×#64528	—	2	2	no	—
17	C₂×#64528	—	2	2	no	—
18	C₂×Dic₁₉⋊C₄	—	2	2	no	—
19	C₂×C₄×Dic₁₉	C₂²	1	1	yes	characteristic
20	C₂²×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×Dic₇₆	—	2	2	no	—
22	C₂×Dic₇₆	—	2	2	no	—
23	C₂×Dic₇₆	—	2	2	no	—
24	C₁₉×#103	—	2	2	no	—
25	C₁₉⋊#95	—	2	2	no	—
26	#10597267	—	2	2	no	—
27	C₂×Q₈×C₁₉	—	2	1	no	—
28	C₂×Q₈×C₁₉	—	2	1	no	—
29	C₂×Q₈×C₁₉	—	2	1	no	—
30	C₂×Q₈×C₁₉	—	2	1	no	—
31	C₂×Q₈×C₁₉	—	2	1	no	—
32	C₂×Q₈×C₁₉	D₄	1	2	yes	—
33	C₂²×C₄×C₁₉	—	2	1	no	—
34	C₂²×C₄×C₁₉	—	2	1	no	—
35	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
36	C₂²×Dic₁₉	—	2	1	no	—
37	C₂²×Dic₁₉	—	2	1	no	—
38	C₂²×Dic₁₉	D₄	1	2	yes	—
39	C₂×Dic₃₈	—	2	1	no	—
40	C₂×Dic₃₈	—	2	1	no	—
41	C₂×Dic₃₈	—	2	1	no	—
42	C₂×Dic₃₈	—	2	1	no	—
43	C₂×Dic₃₈	—	2	1	no	—
44	C₂×Dic₃₈	—	2	1	no	—
45	C₂×Dic₃₈	—	2	1	no	—
46	C₂×Dic₃₈	—	2	1	no	—
47	C₂×Dic₃₈	—	2	1	no	—
48	C₂×Dic₃₈	—	2	1	no	—
49	C₂×Dic₃₈	D₄	1	2	yes	—
50	C₂×Dic₃₈	D₄	1	2	yes	—
51	C₂×C₈×C₁₉	—	2	1	no	—
52	C₂×C₈×C₁₉	—	2	1	no	—
53	C₂×C₈×C₁₉	D₄	1	2	yes	—
54	C₄⋊C₄×C₁₉	—	2	1	no	—
55	C₄⋊C₄×C₁₉	—	2	1	no	—
56	#64528	—	2	8	no	—
57	Dic₁₉⋊C₄	—	2	8	no	—
58	C₄×Dic₁₉	—	2	1	no	—
59	C₄×Dic₁₉	—	2	1	no	—
60	C₂×C₁₉⋊C₈	—	2	1	no	—
61	C₂×C₁₉⋊C₈	—	2	1	no	—
62	C₂×C₁₉⋊C₈	D₄	1	2	yes	—
63	Dic₇₆	—	2	8	no	—
64	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
65	Q₈×C₁₉	—	2	2	no	—
66	Q₈×C₁₉	—	2	2	no	—
67	Q₈×C₁₉	—	4	1	no	—
68	Q₈×C₁₉	—	4	1	no	—
69	C₂×C₄×C₁₉	—	2	2	no	—
70	C₂×C₄×C₁₉	—	4	1	no	—
71	C₂×C₄×C₁₉	—	4	1	no	—
72	C₂×C₄×C₁₉	—	4	1	no	—
73	C₂×C₄×C₁₉	—	4	2	no	—
74	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
75	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
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	#41	1	1	yes	characteristic
80	C₂×Dic₁₉	—	2	2	no	—
81	C₂×Dic₁₉	—	2	2	no	—
82	C₂×Dic₁₉	—	2	2	no	—
83	C₂×Dic₁₉	—	2	2	no	—
84	C₂×Dic₁₉	—	4	1	no	—
85	C₂×Dic₁₉	—	4	1	no	—
86	C₂×Dic₁₉	—	4	1	no	—
87	C₂×Dic₁₉	—	4	1	no	—
88	C₂×Dic₁₉	Q₁₆	1	4	yes	complemented
89	Dic₃₈	—	2	2	no	—
90	Dic₃₈	—	2	2	no	—
91	Dic₃₈	—	2	2	no	—
92	Dic₃₈	—	2	2	no	—
93	Dic₃₈	—	4	1	no	—
94	Dic₃₈	—	4	1	no	—
95	Dic₃₈	—	4	1	no	—
96	Dic₃₈	—	4	1	no	—
97	C₈×C₁₉	—	2	2	no	—
98	C₁₉⋊C₈	—	2	2	no	—
99	#2016	—	19	1	no	maximal, Sylow
100	C₂²×C₁₉	#120	1	1	yes	characteristic
101	C₂²×C₁₉	#121	1	1	yes	characteristic
102	C₂²×C₁₉	#127	1	1	yes	characteristic
103	C₂²×C₁₉	C₂×Q₁₆	1	2	yes	—
104	C₂²×C₁₉	#137	1	2	yes	—
105	C₄×C₁₉	—	4	2	no	—
106	C₄×C₁₉	—	8	1	no	—
107	C₄×C₁₉	#120	1	1	yes	characteristic
108	C₄×C₁₉	#120	1	1	yes	characteristic
109	C₄×C₁₉	#121	1	1	yes	characteristic
110	C₄×C₁₉	#121	1	1	yes	characteristic
111	Dic₁₉	—	2	4	no	—
112	Dic₁₉	—	4	2	no	—
113	Dic₁₉	—	4	2	no	—
114	C₂²×Q₁₆	—	19	1	no	—
115	C₂²×Q₁₆	—	19	1	no	—
116	C₂×C₄⋊Q₈	—	19	1	no	—
117	C₂×#103	—	19	1	no	—
118	C₂×#103	D₁₉	1	1	yes	characteristic
119	#391	—	19	1	no	—
120	#336	—	19	1	no	—
121	C₂×C₁₉	#392	1	1	yes	characteristic
122	C₂×C₁₉	#451	1	2	yes	—
123	C₂×C₁₉	#462	1	2	yes	—
124	C₂×C₁₉	#494	1	1	yes	characteristic
125	C₂×C₁₉	#497	1	1	yes	characteristic
126	C₂²×Q₈	—	19	1	no	—
127	C₂²×Q₈	—	19	1	no	—
128	C₂²×Q₈	C₂×D₁₉	1	1	yes	characteristic
129	C₂×Q₁₆	—	38	2	no	—
130	C₂×Q₁₆	—	38	2	no	—
131	C₂×Q₁₆	—	38	2	no	—
132	C₂×Q₁₆	—	38	2	no	—
133	C₂×Q₁₆	—	38	2	no	—
134	C₂×Q₁₆	—	38	2	no	—
135	C₂²×C₈	—	19	1	no	—
136	C₂²×C₈	C₂×D₁₉	1	1	yes	characteristic
137	C₄⋊Q₈	—	38	2	no	—
138	C₄⋊Q₈	—	38	2	no	—
139	C₂×C₄⋊C₄	—	38	2	no	—
140	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
141	C₂×C₄²	—	19	1	no	—
142	#103	—	2	2	no	—
143	#103	—	38	2	no	—
144	#95	—	38	2	no	—
145	C₁₉	#2016	1	1	yes	characteristic, complemented, Sylow
146	C₂×Q₈	—	2	1	no	—
147	C₂×Q₈	—	2	1	no	—
148	C₂×Q₈	—	2	1	no	—
149	C₂×Q₈	—	2	1	no	—
150	C₂×Q₈	—	2	1	no	—
151	C₂×Q₈	—	19	2	no	—
152	C₂×Q₈	—	19	2	no	—
153	C₂×Q₈	—	38	1	no	—
154	C₂×Q₈	—	38	1	no	—
155	C₂×Q₈	—	38	1	no	—
156	C₂×Q₈	—	38	1	no	—
157	C₂×Q₈	—	38	1	no	—
158	C₂×Q₈	—	38	1	no	—
159	C₂×Q₈	—	38	1	no	—
160	C₂×Q₈	—	38	1	no	—
161	C₂×Q₈	—	38	1	no	—
162	C₂×Q₈	—	38	1	no	—
163	C₂×Q₈	D₇₆	1	2	yes	—
164	C₂²×C₄	—	2	1	no	—
165	C₂²×C₄	—	2	1	no	—
166	C₂²×C₄	—	19	2	no	—
167	C₂²×C₄	—	38	1	no	—
168	C₂²×C₄	—	38	1	no	—
169	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
170	Q₁₆	—	38	8	no	—
171	Q₁₆	—	38	8	no	—
172	C₂×C₈	—	2	1	no	—
173	C₂×C₈	—	2	1	no	—
174	C₂×C₈	—	19	2	no	—
175	C₂×C₈	—	38	1	no	—
176	C₂×C₈	—	38	1	no	—
177	C₂×C₈	C₂²⋊D₁₉	1	2	yes	—
178	C₄⋊C₄	—	2	1	no	—
179	C₄⋊C₄	—	2	1	no	—
180	C₄⋊C₄	—	38	8	no	—
181	C₄²	—	38	1	no	—
182	C₄²	—	38	1	no	—
183	C₂³	D₄×D₁₉	1	1	yes	characteristic
184	Q₈	—	2	2	no	—
185	Q₈	—	2	2	no	—
186	Q₈	—	4	1	no	—
187	Q₈	—	4	1	no	—
188	Q₈	—	38	2	no	—
189	Q₈	—	38	2	no	—
190	Q₈	—	38	2	no	—
191	Q₈	—	38	2	no	—
192	Q₈	—	76	1	no	—
193	Q₈	—	76	1	no	—
194	Q₈	—	76	1	no	—
195	Q₈	—	76	1	no	—
196	C₂×C₄	—	2	2	no	—
197	C₂×C₄	—	4	1	no	—
198	C₂×C₄	—	4	1	no	—
199	C₂×C₄	—	4	1	no	—
200	C₂×C₄	—	4	2	no	—
201	C₂×C₄	—	19	4	no	—
202	C₂×C₄	—	38	2	no	—
203	C₂×C₄	—	38	2	no	—
204	C₂×C₄	—	38	2	no	—
205	C₂×C₄	—	38	2	no	—
206	C₂×C₄	—	76	1	no	—
207	C₂×C₄	—	76	1	no	—
208	C₂×C₄	—	76	1	no	—
209	C₂×C₄	—	76	1	no	—
210	C₂×C₄	C₂×D₇₆	1	1	yes	characteristic
211	C₂×C₄	#64541	1	1	yes	characteristic
212	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
213	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
214	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
215	C₂×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
216	C₈	—	2	2	no	—
217	C₈	—	38	2	no	—
218	C₂²	#10597328	1	1	yes	characteristic
219	C₂²	#10597330	1	1	yes	characteristic
220	C₂²	#10597361	1	2	yes	—
221	C₂²	Q₁₆×D₁₉	1	2	yes	—
222	C₂²	#10597386	1	1	yes	characteristic
223	C₄	—	4	2	no	—
224	C₄	—	8	1	no	—
225	C₄	—	38	4	no	—
226	C₄	—	76	2	no	—
227	C₄	—	76	2	no	—
228	C₄	#10597328	1	1	yes	characteristic
229	C₄	#10597330	1	1	yes	characteristic
230	C₄	#10597376	1	1	yes	characteristic
231	C₄	#10597383	1	1	yes	characteristic
232	C₂	#11926453	1	1	yes	characteristic
233	C₂	#11926701	1	2	yes	—
234	C₂	#11926753	1	2	yes	—
235	C₂	#11926922	1	1	yes	characteristic
236	C₂	#11926935	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×Dic₇₆

C₂

yes

maximal, characteristic

C₂²×#64528

C₂

yes

maximal, characteristic

C₂×#10597390

C₂

yes

maximal, characteristic

C₂×#10597267

C₂

yes

maximal, characteristic

#11926449

C₂

yes

maximal, characteristic

#11926298

C₂

yes

maximal, characteristic

C₂×C₁₉×#103

C₂

yes

maximal, characteristic

C₂²×Q₈×C₁₉

C₂²

yes

characteristic

C₂²×Dic₃₈

C₂²

yes

characteristic

C₂²×Dic₃₈

C₂²

yes

characteristic

C₂²×C₈×C₁₉

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₁₉

C₂²

yes

—

—

—

—

—

C₂×Dic₁₉⋊C₄

—

C₂×C₄×Dic₁₉

C₂²

yes

characteristic

C₂²×C₁₉⋊C₈

C₂²

yes

characteristic

C₂×Dic₇₆

—

C₂×Dic₇₆

—

C₂×Dic₇₆

—

C₁₉×#103

—

C₁₉⋊#95

—

#10597267

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

D₄

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂³

yes

characteristic

C₂²×Dic₁₉

—

C₂²×Dic₁₉

—

C₂²×Dic₁₉

D₄

yes

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

D₄

yes

—

C₂×Dic₃₈

D₄

yes

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

D₄

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

#64528

—

Dic₁₉⋊C₄

—

C₄×Dic₁₉

—

C₄×Dic₁₉

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

D₄

yes

—

Dic₇₆

—

C₂³×C₁₉

C₂×D₄

yes

characteristic

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×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

#41

yes

characteristic

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

Q₁₆

yes

complemented

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

Dic₃₈

—

C₈×C₁₉

—

C₁₉⋊C₈

—

#2016

—

maximal, Sylow

100

C₂²×C₁₉

#120

yes

characteristic

101

C₂²×C₁₉

#121

yes

characteristic

102

C₂²×C₁₉

#127

yes

characteristic

103

C₂²×C₁₉

C₂×Q₁₆

yes

—

104

C₂²×C₁₉

#137

yes

—

105

C₄×C₁₉

—

106

C₄×C₁₉

—

107

C₄×C₁₉

#120

yes

characteristic

108

C₄×C₁₉

#120

yes

characteristic

109

C₄×C₁₉

#121

yes

characteristic

110

C₄×C₁₉

#121

yes

characteristic

111

Dic₁₉

—

112

Dic₁₉

—

113

Dic₁₉

—

114

C₂²×Q₁₆

—

115

C₂²×Q₁₆

—

116

C₂×C₄⋊Q₈

—

117

C₂×#103

—

118

C₂×#103

D₁₉

yes

characteristic

119

#391

—

120

#336

—

121

C₂×C₁₉

#392

yes

characteristic

122

C₂×C₁₉

#451

yes

—

123

C₂×C₁₉

#462

yes

—

124

C₂×C₁₉

#494

yes

characteristic

125

C₂×C₁₉

#497

yes

characteristic

126

C₂²×Q₈

—

127

C₂²×Q₈

—

128

C₂²×Q₈

C₂×D₁₉

yes

characteristic

129

C₂×Q₁₆

—

130

C₂×Q₁₆

—

131

C₂×Q₁₆

—

132

C₂×Q₁₆

—

133

C₂×Q₁₆

—

134

C₂×Q₁₆

—

135

C₂²×C₈

—

136

C₂²×C₈

C₂×D₁₉

yes

characteristic

137

C₄⋊Q₈

—

138

C₄⋊Q₈

—

139

C₂×C₄⋊C₄

—

140

C₂×C₄⋊C₄

C₂×D₁₉

yes

characteristic

141

C₂×C₄²

—

142

#103

—

143

#103

—

144

#95

—

145

C₁₉

#2016

yes

characteristic, complemented, Sylow

146

C₂×Q₈

—

147

C₂×Q₈

—

148

C₂×Q₈

—

149

C₂×Q₈

—

150

C₂×Q₈

—

151

C₂×Q₈

—

152

C₂×Q₈

—

153

C₂×Q₈

—

154

C₂×Q₈

—

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

D₇₆

yes

—

164

C₂²×C₄

—

165

C₂²×C₄

—

166

C₂²×C₄

—

167

C₂²×C₄

—

168

C₂²×C₄

—

169

C₂²×C₄

C₂²×D₁₉

yes

characteristic

170

Q₁₆

—

171

Q₁₆

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

C₂²⋊D₁₉

yes

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄²

—

182

C₄²

—

183

C₂³

D₄×D₁₉

yes

characteristic

184

Q₈

—

185

Q₈

—

186

Q₈

—

187

Q₈

—

188

Q₈

—

189

Q₈

—

190

Q₈

—

191

Q₈

—

192

Q₈

—

193

Q₈

—

194

Q₈

—

195

Q₈

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

C₂×D₇₆

yes

characteristic

211

C₂×C₄

#64541

yes

characteristic

212

C₂×C₄

D₄×D₁₉

yes

characteristic

213

C₂×C₄

D₄×D₁₉

yes

characteristic

214

C₂×C₄

D₄×D₁₉

yes

characteristic

215

C₂×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

216

C₈

—

217

C₈

—

218

C₂²

#10597328

yes

characteristic

219

C₂²

#10597330

yes

characteristic

220

C₂²

#10597361

yes

—

221

C₂²

Q₁₆×D₁₉

yes

—

222

C₂²

#10597386

yes

characteristic

223

C₄

—

224

C₄

—

225

C₄

—

226

C₄

—

227

C₄

—

228

C₄

#10597328

yes

characteristic

229

C₄

#10597330

yes

characteristic

230

C₄

#10597376

yes

characteristic

231

C₄

#10597383

yes

characteristic

232

C₂

#11926453

yes

characteristic

233

C₂

#11926701

yes

—

234

C₂

#11926753

yes

—

235

C₂

#11926922

yes

characteristic

236

C₂

#11926935

yes

characteristic

	subgroup	G/H
center	C₂³	D₄×D₁₉
commutator, cosocle	C₂²×C₄×C₁₉	C₂³
Frattini	C₂²×C₄	C₂²×D₁₉
Fitting	C₂×C₁₉×#103	C₂
socle, prime radical	C₂³×C₁₉	C₂×D₄
hypercenter	C₂×#103	D₁₉
hypocenter	C₁₉	#2016
LCS	G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#103

subgroup

G/H

center

C₂³

D₄×D₁₉

commutator, cosocle

C₂²×C₄×C₁₉

C₂³

Frattini

C₂²×C₄

C₂²×D₁₉

Fitting

C₂×C₁₉×#103

C₂

socle, prime radical

C₂³×C₁₉

C₂×D₄

D₁₉

C₁₉

G ▷ C₂²×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂×#103

N	H ≅ G/N	type
88. C₂×Dic₁₉	Q₁₆	semidirect
145. C₁₉	#2016	semidirect

H ≅ G/N

type

88. C₂×Dic₁₉

Q₁₆

semidirect

145. C₁₉

#2016

semidirect

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

subgroup	index
C₂²×Dic₇₆	2
C₂²×#64528	2
C₂×#10597390	2
C₂×#10597267	2
#11926449	2
#11926298	2
C₂×C₁₉×#103	2
#2016	19

subgroup

index

C₂²×Dic₇₆

C₂²×#64528

C₂×C₁₉×#103

Subgroups — #14564736

Conjugacy classes of subgroups

Complements

Maximal subgroups