Group #18085617 — subgroups

Subgroups — #18085617

Order 4864.

476 conjugacy classes of subgroups; only the 91 normal subgroups are shown.

normal subgroups only

This group has 476 conjugacy classes of subgroups — too many to draw. Only its 91 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	#14571910	C₂	1	1	yes	maximal, characteristic, complemented
2	#14564460	C₂	1	2	yes	maximal
3	#14561517	C₂	1	2	yes	maximal, complemented
4	#14561516	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1961	C₂	1	1	yes	maximal, characteristic
6	C₂×#10597289	—	2	2	no	—
7	C₂×#10597289	—	2	2	no	—
8	C₂×#10597260	C₂²	1	2	yes	—
9	#11926478	—	2	2	no	—
10	#11926477	—	2	2	no	—
11	#11926476	—	2	2	no	—
12	#11926410	C₂²	1	2	yes	—
13	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
14	C₂×C₁₉×#102	—	2	2	no	—
15	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
16	C₁₉×#382	C₂²	1	1	yes	characteristic
17	C₂²×D₄×C₁₉	—	2	2	no	—
18	C₂²×D₄×C₁₉	—	2	1	no	—
19	C₂²×C₈×C₁₉	—	2	1	no	—
20	C₁₉×#127	—	2	1	no	—
21	C₁₉×#127	—	2	2	no	—
22	C₁₉×#127	Q₈	1	2	yes	—
23	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
24	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
25	C₂×C₄⋊Dic₁₉	—	2	2	no	—
26	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
27	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
28	C₂×Dic₁₉⋊C₄	—	2	2	no	—
29	C₂×Dic₁₉⋊C₄	—	2	2	no	—
30	C₂²×C₁₉⋊C₈	—	2	2	no	—
31	C₁₉×#102	—	4	4	no	—
32	C₁₉×#97	—	2	2	no	—
33	C₁₉×#95	—	2	2	no	—
34	#10597289	—	4	4	no	—
35	#10597289	—	4	4	no	—
36	C₁₉⋊#95	—	2	2	no	—
37	C₁₉⋊#95	—	2	2	no	—
38	C₁₉⋊#95	—	2	2	no	—
39	#10597260	—	2	2	no	—
40	#10597260	—	2	2	no	—
41	C₂⁴×C₁₉	—	4	1	no	—
42	C₂×D₄×C₁₉	—	2	4	no	—
43	C₂×D₄×C₁₉	—	2	2	no	—
44	C₂×D₄×C₁₉	—	4	2	no	—
45	C₂×D₄×C₁₉	—	4	2	no	—
46	C₂×D₄×C₁₉	—	4	2	no	—
47	C₂×D₄×C₁₉	—	4	2	no	—
48	C₂×D₄×C₁₉	—	4	2	no	—
49	C₂×D₄×C₁₉	—	4	2	no	—
50	C₂×D₄×C₁₉	—	4	1	no	—
51	C₂×D₄×C₁₉	—	4	2	no	—
52	C₂²×C₄×C₁₉	—	2	2	no	—
53	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
54	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
55	C₂²×Dic₁₉	—	2	2	no	—
56	C₂²×Dic₁₉	—	2	2	no	—
57	C₂×C₈×C₁₉	—	2	2	no	—
58	C₂×C₈×C₁₉	—	4	1	no	—
59	C₂×C₈×C₁₉	—	4	1	no	—
60	C₄⋊C₄×C₁₉	—	4	2	no	—
61	C₄²×C₁₉	C₂×Q₈	1	1	yes	characteristic
62	C₄²×C₁₉	#41	1	1	yes	characteristic
63	C₄²×C₁₉	#41	1	2	yes	—
64	C₄⋊Dic₁₉	—	4	2	no	—
65	C₄⋊Dic₁₉	—	4	2	no	—
66	C₄⋊Dic₁₉	—	8	2	no	—
67	Dic₁₉⋊C₄	—	8	2	no	—
68	Dic₁₉⋊C₄	—	8	2	no	—
69	C₂×C₁₉⋊C₈	—	2	4	no	—
70	C₂×C₁₉⋊C₈	—	4	2	no	—
71	C₂×C₁₉⋊C₈	—	4	2	no	—
72	#10360	—	19	1	no	maximal, Sylow
73	C₂³×C₁₉	—	4	2	no	—
74	C₂³×C₁₉	—	8	2	no	—
75	C₂³×C₁₉	—	8	1	no	—
76	C₂³×C₁₉	—	8	2	no	—
77	C₂³×C₁₉	—	8	1	no	—
78	C₂³×C₁₉	#120	1	1	yes	characteristic
79	D₄×C₁₉	—	4	4	no	—
80	D₄×C₁₉	—	4	4	no	—
81	D₄×C₁₉	—	4	4	no	—
82	D₄×C₁₉	—	8	2	no	—
83	D₄×C₁₉	—	8	2	no	—
84	D₄×C₁₉	—	8	2	no	—
85	C₂×C₄×C₁₉	—	2	2	no	—
86	C₂×C₄×C₁₉	—	2	1	no	—
87	C₂×C₄×C₁₉	—	2	2	no	—
88	C₂×C₄×C₁₉	—	2	1	no	—
89	C₂×C₄×C₁₉	—	4	2	no	—
90	C₂×C₄×C₁₉	—	4	2	no	—
91	C₂×C₄×C₁₉	—	4	2	no	—
92	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
93	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
94	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
95	C₂×C₄×C₁₉	#124	1	2	yes	—
96	C₂×Dic₁₉	—	4	2	no	—
97	C₂×Dic₁₉	—	4	2	no	—
98	C₂×Dic₁₉	—	4	2	no	—
99	C₂×Dic₁₉	—	4	2	no	—
100	C₂×Dic₁₉	—	4	2	no	—
101	C₂×Dic₁₉	—	4	2	no	—
102	C₈×C₁₉	—	4	2	no	—
103	C₁₉⋊C₈	—	4	4	no	—
104	#2845	—	19	1	no	—
105	#1961	—	19	2	no	—
106	#1961	D₁₉	1	1	yes	characteristic
107	#1295	—	19	2	no	—
108	#1295	—	19	1	no	—
109	C₂²×C₁₉	—	8	4	no	—
110	C₂²×C₁₉	—	8	2	no	—
111	C₂²×C₁₉	—	16	2	no	—
112	C₂²×C₁₉	—	16	1	no	—
113	C₂²×C₁₉	—	16	1	no	—
114	C₂²×C₁₉	#393	1	1	yes	characteristic
115	C₂²×C₁₉	#453	1	2	yes	—
116	C₂²×C₁₉	#453	1	1	yes	characteristic
117	C₂²×C₁₉	#454	1	2	yes	—
118	C₂²×C₁₉	#454	1	1	yes	characteristic
119	C₄×C₁₉	—	2	2	no	—
120	C₄×C₁₉	—	2	1	no	—
121	C₄×C₁₉	—	2	2	no	—
122	C₄×C₁₉	—	2	1	no	—
123	C₄×C₁₉	—	8	2	no	—
124	Dic₁₉	—	8	2	no	—
125	Dic₁₉	—	8	2	no	—
126	C₂×#127	C₂×D₁₉	1	1	yes	characteristic
127	C₂×#102	—	2	2	no	—
128	C₂×#102	—	38	2	no	—
129	C₂×#102	—	38	2	no	—
130	C₂×#97	—	19	2	no	—
131	C₂×#97	C₂×D₁₉	1	1	yes	characteristic
132	#398	—	38	2	no	—
133	#398	—	38	2	no	—
134	#398	—	38	2	no	—
135	#382	—	19	2	no	—
136	#382	C₂×D₁₉	1	1	yes	characteristic
137	C₂×C₁₉	—	16	2	no	—
138	C₂×C₁₉	#1656	1	2	yes	—
139	C₂×C₁₉	#1656	1	1	yes	characteristic
140	C₂×C₁₉	#1658	1	1	yes	characteristic
141	C₂×C₁₉	#2027	1	2	yes	—
142	C₂×C₁₉	#2027	1	1	yes	characteristic
143	C₂²×D₄	—	2	2	no	—
144	C₂²×D₄	—	2	1	no	—
145	C₂²×C₈	—	2	1	no	—
146	C₂²×C₈	—	38	2	no	—
147	#127	—	2	1	no	—
148	#127	—	2	2	no	—
149	#127	Dic₃₈	1	2	yes	—
150	C₂×C₄⋊C₄	—	19	2	no	—
151	C₂×C₄⋊C₄	—	19	2	no	—
152	C₂×C₄⋊C₄	—	38	2	no	—
153	C₂×C₄⋊C₄	—	38	2	no	—
154	C₂×C₄⋊C₄	—	38	2	no	—
155	C₂×C₄⋊C₄	C₂²⋊D₁₉	1	2	yes	—
156	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
157	#102	—	4	4	no	—
158	#102	—	76	4	no	—
159	#102	—	76	4	no	—
160	#97	—	2	2	no	—
161	#97	—	38	2	no	—
162	#97	—	38	2	no	—
163	#95	—	2	2	no	—
164	#95	—	38	2	no	—
165	#95	—	38	2	no	—
166	#95	—	38	2	no	—
167	C₁₉	#10360	1	1	yes	characteristic, complemented, Sylow
168	C₂⁴	—	4	1	no	—
169	C₂×D₄	—	2	4	no	—
170	C₂×D₄	—	2	2	no	—
171	C₂×D₄	—	4	2	no	—
172	C₂×D₄	—	4	2	no	—
173	C₂×D₄	—	4	2	no	—
174	C₂×D₄	—	4	2	no	—
175	C₂×D₄	—	4	2	no	—
176	C₂×D₄	—	4	2	no	—
177	C₂×D₄	—	4	1	no	—
178	C₂×D₄	—	4	2	no	—
179	C₂²×C₄	—	2	2	no	—
180	C₂²×C₄	—	38	2	no	—
181	C₂²×C₄	—	38	2	no	—
182	C₂²×C₄	D₄×D₁₉	1	2	yes	—
183	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
184	C₂×C₈	—	2	2	no	—
185	C₂×C₈	—	4	1	no	—
186	C₂×C₈	—	4	1	no	—
187	C₂×C₈	—	38	4	no	—
188	C₂×C₈	—	76	2	no	—
189	C₂×C₈	—	76	2	no	—
190	C₄⋊C₄	—	4	2	no	—
191	C₄⋊C₄	—	76	2	no	—
192	C₄⋊C₄	—	76	2	no	—
193	C₄⋊C₄	—	152	2	no	—
194	C₄⋊C₄	—	152	2	no	—
195	C₄⋊C₄	—	152	2	no	—
196	C₄²	C₂×Dic₃₈	1	1	yes	characteristic
197	C₄²	#64541	1	1	yes	characteristic
198	C₄²	#64543	1	2	yes	—
199	C₂³	—	4	2	no	—
200	C₂³	—	8	2	no	—
201	C₂³	—	8	1	no	—
202	C₂³	—	8	2	no	—
203	C₂³	—	8	1	no	—
204	C₂³	#10597383	1	1	yes	characteristic
205	D₄	—	4	4	no	—
206	D₄	—	4	4	no	—
207	D₄	—	4	4	no	—
208	D₄	—	8	2	no	—
209	D₄	—	8	2	no	—
210	D₄	—	8	2	no	—
211	C₂×C₄	—	2	2	no	—
212	C₂×C₄	—	2	1	no	—
213	C₂×C₄	—	2	2	no	—
214	C₂×C₄	—	2	1	no	—
215	C₂×C₄	—	4	2	no	—
216	C₂×C₄	—	4	2	no	—
217	C₂×C₄	—	4	2	no	—
218	C₂×C₄	—	76	2	no	—
219	C₂×C₄	—	76	2	no	—
220	C₂×C₄	—	76	2	no	—
221	C₂×C₄	—	76	2	no	—
222	C₂×C₄	—	76	2	no	—
223	C₂×C₄	—	76	2	no	—
224	C₂×C₄	#10597324	1	2	yes	—
225	C₂×C₄	#10597331	1	2	yes	—
226	C₂×C₄	#10597370	1	1	yes	characteristic
227	C₂×C₄	#10597382	1	1	yes	characteristic
228	C₈	—	4	2	no	—
229	C₈	—	76	4	no	—
230	C₂²	—	8	4	no	—
231	C₂²	—	8	2	no	—
232	C₂²	—	16	2	no	—
233	C₂²	—	16	1	no	—
234	C₂²	—	16	1	no	—
235	C₂²	#11926456	1	1	yes	characteristic
236	C₂²	#11926710	1	2	yes	—
237	C₂²	#11926711	1	1	yes	characteristic
238	C₂²	#11926715	1	2	yes	—
239	C₂²	#11926716	1	1	yes	characteristic
240	C₄	—	2	2	no	—
241	C₄	—	2	2	no	—
242	C₄	—	2	1	no	—
243	C₄	—	2	1	no	—
244	C₄	—	8	2	no	—
245	C₄	—	152	2	no	—
246	C₄	—	152	2	no	—
247	C₂	—	16	2	no	—
248	C₂	#14562926	1	2	yes	—
249	C₂	#14562927	1	1	yes	characteristic
250	C₂	#14562936	1	1	yes	characteristic
251	C₂	#14564789	1	2	yes	—
252	C₂	#14564791	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14571910

C₂

yes

maximal, characteristic, complemented

#14564460

C₂

yes

maximal

#14561517

C₂

yes

maximal, complemented

#14561516

C₂

yes

maximal, characteristic, complemented

C₁₉×#1961

C₂

yes

maximal, characteristic

C₂×#10597289

—

C₂×#10597289

—

C₂×#10597260

C₂²

yes

—

—

—

—

C₂²

yes

—

C₂×C₁₉×#127

C₂²

yes

characteristic

C₂×C₁₉×#102

—

C₂×C₁₉×#97

C₂²

yes

characteristic

C₁₉×#382

C₂²

yes

characteristic

C₂²×D₄×C₁₉

—

C₂²×D₄×C₁₉

—

C₂²×C₈×C₁₉

—

C₁₉×#127

—

C₁₉×#127

—

C₁₉×#127

Q₈

yes

—

C₂×C₄⋊C₄×C₁₉

D₄

yes

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₉

—

C₂×C₄⋊Dic₁₉

D₄

yes

—

C₂×C₄⋊Dic₁₉

D₄

yes

—

C₂×Dic₁₉⋊C₄

—

C₂×Dic₁₉⋊C₄

—

C₂²×C₁₉⋊C₈

—

C₁₉×#102

—

C₁₉×#97

—

C₁₉×#95

—

#10597289

—

#10597289

—

C₁₉⋊#95

—

C₁₉⋊#95

—

C₁₉⋊#95

—

#10597260

—

#10597260

—

C₂⁴×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×Dic₁₉

—

C₂²×Dic₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄²×C₁₉

C₂×Q₈

yes

C₄²×C₁₉

yes

C₄²×C₁₉

yes

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

Dic₁₉⋊C₄

—

Dic₁₉⋊C₄

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

#10360

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

#120

yes

characteristic

D₄×C₁₉

—

D₄×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×C₄×C₁₉

—

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

—

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

C₂×Dic₁₉

—

100

C₂×Dic₁₉

—

101

C₂×Dic₁₉

—

102

C₈×C₁₉

—

103

C₁₉⋊C₈

—

104

#2845

—

105

#1961

—

106

#1961

D₁₉

yes

characteristic

107

#1295

—

108

#1295

—

109

C₂²×C₁₉

—

110

C₂²×C₁₉

—

111

C₂²×C₁₉

—

112

C₂²×C₁₉

—

113

C₂²×C₁₉

—

114

C₂²×C₁₉

#393

yes

characteristic

115

C₂²×C₁₉

#453

yes

—

116

C₂²×C₁₉

#453

yes

characteristic

117

C₂²×C₁₉

#454

yes

—

118

C₂²×C₁₉

#454

yes

characteristic

119

C₄×C₁₉

—

120

C₄×C₁₉

—

121

C₄×C₁₉

—

122

C₄×C₁₉

—

123

C₄×C₁₉

—

124

Dic₁₉

—

125

Dic₁₉

—

126

C₂×#127

C₂×D₁₉

yes

characteristic

127

C₂×#102

—

128

C₂×#102

—

129

C₂×#102

—

130

C₂×#97

—

131

C₂×#97

C₂×D₁₉

yes

characteristic

132

#398

—

133

#398

—

134

#398

—

135

#382

—

136

#382

C₂×D₁₉

yes

characteristic

137

C₂×C₁₉

—

138

C₂×C₁₉

#1656

yes

—

139

C₂×C₁₉

#1656

yes

characteristic

140

C₂×C₁₉

#1658

yes

characteristic

141

C₂×C₁₉

#2027

yes

—

142

C₂×C₁₉

#2027

yes

characteristic

143

C₂²×D₄

—

144

C₂²×D₄

—

145

C₂²×C₈

—

146

C₂²×C₈

—

147

#127

—

148

#127

—

149

#127

Dic₃₈

yes

—

150

C₂×C₄⋊C₄

—

151

C₂×C₄⋊C₄

—

152

C₂×C₄⋊C₄

—

153

C₂×C₄⋊C₄

—

154

C₂×C₄⋊C₄

—

155

C₂×C₄⋊C₄

C₂²⋊D₁₉

yes

—

156

C₂×C₄²

C₂²×D₁₉

yes

characteristic

157

#102

—

158

#102

—

159

#102

—

160

#97

—

161

#97

—

162

#97

—

163

#95

—

164

#95

—

165

#95

—

166

#95

—

167

C₁₉

#10360

yes

characteristic, complemented, Sylow

168

C₂⁴

—

169

C₂×D₄

—

170

C₂×D₄

—

171

C₂×D₄

—

172

C₂×D₄

—

173

C₂×D₄

—

174

C₂×D₄

—

175

C₂×D₄

—

176

C₂×D₄

—

177

C₂×D₄

—

178

C₂×D₄

—

179

C₂²×C₄

—

180

C₂²×C₄

—

181

C₂²×C₄

—

182

C₂²×C₄

D₄×D₁₉

yes

—

183

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

184

C₂×C₈

—

185

C₂×C₈

—

186

C₂×C₈

—

187

C₂×C₈

—

188

C₂×C₈

—

189

C₂×C₈

—

190

C₄⋊C₄

—

191

C₄⋊C₄

—

192

C₄⋊C₄

—

193

C₄⋊C₄

—

152

—

194

C₄⋊C₄

—

152

—

195

C₄⋊C₄

—

152

—

196

C₄²

C₂×Dic₃₈

yes

characteristic

197

C₄²

#64541

yes

characteristic

198

C₄²

#64543

yes

—

199

C₂³

—

200

C₂³

—

201

C₂³

—

202

C₂³

—

203

C₂³

—

204

C₂³

#10597383

yes

characteristic

205

D₄

—

206

D₄

—

207

D₄

—

208

D₄

—

209

D₄

—

210

D₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

215

C₂×C₄

—

216

C₂×C₄

—

217

C₂×C₄

—

218

C₂×C₄

—

219

C₂×C₄

—

220

C₂×C₄

—

221

C₂×C₄

—

222

C₂×C₄

—

223

C₂×C₄

—

224

C₂×C₄

#10597324

yes

—

225

C₂×C₄

#10597331

yes

—

226

C₂×C₄

#10597370

yes

characteristic

227

C₂×C₄

#10597382

yes

characteristic

228

C₈

—

229

C₈

—

230

C₂²

—

231

C₂²

—

232

C₂²

—

233

C₂²

—

234

C₂²

—

235

C₂²

#11926456

yes

characteristic

236

C₂²

#11926710

yes

—

237

C₂²

#11926711

yes

characteristic

238

C₂²

#11926715

yes

—

239

C₂²

#11926716

yes

characteristic

240

C₄

—

241

C₄

—

242

C₄

—

243

C₄

—

244

C₄

—

245

C₄

—

152

—

246

C₄

—

152

—

247

C₂

—

248

C₂

#14562926

yes

—

249

C₂

#14562927

yes

characteristic

250

C₂

#14562936

yes

characteristic

251

C₂

#14564789

yes

—

252

C₂

#14564791

yes

characteristic

	subgroup	G/H
center	C₂³	#10597383
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1961	C₂
socle	C₂³×C₁₉	#120
prime radical	C₂×C₁₉×#127	C₂²
hypercenter	#1961	D₁₉
hypocenter	C₁₉	#10360
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1961

subgroup

G/H

center

C₂³

#10597383

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#1961

C₂

socle

C₂³×C₁₉

#120

prime radical

C₂×C₁₉×#127

C₂²

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1961

N	H ≅ G/N	type
1. #14571910	C₂	semidirect
3. #14561517	C₂	semidirect
4. #14561516	C₂	semidirect
167. C₁₉	#10360	semidirect

H ≅ G/N

type

1. #14571910

C₂

semidirect

3. #14561517

C₂

semidirect

4. #14561516

C₂

semidirect

167. C₁₉

#10360

semidirect

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

subgroup	index
#14571910	2
#14564460	2
#14561517	2
#14561516	2
C₁₉×#1961	2
#10360	19

subgroup

index

C₁₉×#1961

Subgroups — #18085617

Conjugacy classes of subgroups

Complements

Maximal subgroups