Group #18080067 — subgroups

Subgroups — #18080067

Order 4864.

540 conjugacy classes of subgroups; only the 103 normal subgroups are shown.

normal subgroups only

This group has 540 conjugacy classes of subgroups — too many to draw. Only its 103 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	#14572706	C₂	1	1	yes	maximal, characteristic, complemented
2	#14562349	C₂	1	2	yes	maximal, complemented
3	#14562270	C₂	1	1	yes	maximal, characteristic, complemented
4	#14561507	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3151	C₂	1	1	yes	maximal, characteristic
6	#11926616	—	2	4	no	—
7	#11926601	C₂²	1	2	yes	—
8	#11926601	C₂²	1	2	yes	—
9	#11926511	—	2	2	no	—
10	#11926288	—	2	4	no	—
11	#11926284	—	2	2	no	—
12	C₂×C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
13	C₁₉×#532	C₂²	1	1	yes	characteristic
14	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
15	C₁₉×#496	—	2	2	no	—
16	C₁₉×#493	C₄	1	2	yes	—
17	C₁₉×#492	C₄	1	2	yes	—
18	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×#41×C₁₉	D₄	1	2	yes	—
20	C₂²×D₄×C₁₉	—	2	1	no	—
21	C₂²×D₄×C₁₉	—	2	2	no	—
22	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
23	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
24	C₂×SD₁₆×C₁₉	—	2	4	no	—
25	C₂×D₈×C₁₉	—	2	4	no	—
26	C₂×M₁₆×C₁₉	—	2	1	no	—
27	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
28	C₁₉×#127	—	2	2	no	—
29	C₁₉×#127	—	2	1	no	—
30	C₁₉×#127	C₂×C₄	1	2	yes	—
31	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
32	C₁₉×#124	D₄	1	2	yes	—
33	C₁₉×#121	—	2	2	no	—
34	C₄×D₄×C₁₉	—	2	2	no	—
35	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
36	C₂×#64520	—	2	2	no	—
37	C₂²×C₁₉⋊C₈	—	2	2	no	—
38	C₁₉×#97	—	2	1	no	—
39	C₄×C₈×C₁₉	C₂×C₄	1	2	yes	—
40	C₂²⋊(C₁₉⋊C₈)	—	2	4	no	—
41	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
42	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
43	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
44	C₄⋊(C₁₉⋊C₈)	D₄	1	4	yes	—
45	#10597260	—	2	2	no	—
46	#10597260	—	2	2	no	—
47	C₂⁴×C₁₉	—	4	1	no	—
48	#41×C₁₉	—	4	2	no	—
49	#41×C₁₉	—	4	2	no	—
50	C₂×Q₈×C₁₉	C₂²⋊C₄	1	2	yes	—
51	C₂×D₄×C₁₉	—	2	2	no	—
52	C₂×D₄×C₁₉	—	2	2	no	—
53	C₂×D₄×C₁₉	—	2	2	no	—
54	C₂×D₄×C₁₉	—	2	4	no	—
55	C₂×D₄×C₁₉	—	4	2	no	—
56	C₂×D₄×C₁₉	—	4	2	no	—
57	C₂×D₄×C₁₉	—	4	1	no	—
58	C₂×D₄×C₁₉	—	4	2	no	—
59	C₂×D₄×C₁₉	—	8	4	no	—
60	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
61	C₂²×C₄×C₁₉	—	2	2	no	—
62	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₉	#41	1	2	yes	—
64	SD₁₆×C₁₉	—	4	8	no	—
65	D₈×C₁₉	—	4	8	no	—
66	M₁₆×C₁₉	—	2	4	no	—
67	C₂×C₈×C₁₉	—	2	2	no	—
68	C₄⋊C₄×C₁₉	—	2	2	no	—
69	C₂²⋊C₄×C₁₉	—	2	4	no	—
70	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
71	C₄²×C₁₉	C₂×D₄	1	2	yes	—
72	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
73	#64520	—	8	2	no	—
74	C₂×C₁₉⋊C₈	—	2	4	no	—
75	C₂×C₁₉⋊C₈	—	4	2	no	—
76	C₂×C₁₉⋊C₈	—	8	2	no	—
77	#9423	—	19	1	no	maximal, Sylow
78	C₂³×C₁₉	—	2	2	no	—
79	C₂³×C₁₉	—	4	2	no	—
80	C₂³×C₁₉	—	8	1	no	—
81	C₂³×C₁₉	—	8	1	no	—
82	C₂³×C₁₉	—	8	4	no	—
83	C₂³×C₁₉	#123	1	1	yes	characteristic
84	Q₈×C₁₉	—	4	2	no	—
85	D₄×C₁₉	—	4	2	no	—
86	D₄×C₁₉	—	4	4	no	—
87	D₄×C₁₉	—	8	2	no	—
88	D₄×C₁₉	—	8	4	no	—
89	D₄×C₁₉	—	8	4	no	—
90	D₄×C₁₉	—	8	2	no	—
91	D₄×C₁₉	—	8	2	no	—
92	C₂×C₄×C₁₉	—	2	2	no	—
93	C₂×C₄×C₁₉	—	2	2	no	—
94	C₂×C₄×C₁₉	—	4	2	no	—
95	C₂×C₄×C₁₉	—	4	2	no	—
96	C₂×C₄×C₁₉	—	4	2	no	—
97	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
98	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
99	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
100	C₂×C₄×C₁₉	#121	1	2	yes	—
101	C₈×C₁₉	—	2	4	no	—
102	C₁₉⋊C₈	—	4	4	no	—
103	C₁₉⋊C₈	—	8	2	no	—
104	#3151	D₁₉	1	1	yes	characteristic
105	#2980	—	19	1	no	—
106	#1555	—	19	2	no	—
107	#1536	—	19	1	no	—
108	#1291	—	19	2	no	—
109	C₂²×C₁₉	—	2	1	no	—
110	C₂²×C₁₉	—	2	2	no	—
111	C₂²×C₁₉	—	4	2	no	—
112	C₂²×C₁₉	—	4	4	no	—
113	C₂²×C₁₉	—	8	2	no	—
114	C₂²×C₁₉	—	8	4	no	—
115	C₂²×C₁₉	—	16	2	no	—
116	C₂²×C₁₉	—	16	2	no	—
117	C₂²×C₁₉	#386	1	1	yes	characteristic
118	C₄×C₁₉	—	2	1	no	—
119	C₄×C₁₉	—	2	2	no	—
120	C₄×C₁₉	—	2	2	no	—
121	C₄×C₁₉	—	4	2	no	—
122	C₄×C₁₉	#453	1	2	yes	—
123	C₂×AGL(1,ℤ/8)	—	2	2	no	—
124	#532	C₂×D₁₉	1	1	yes	characteristic
125	C₂×#127	C₂×D₁₉	1	1	yes	characteristic
126	#496	—	2	2	no	—
127	#493	Dic₁₉	1	2	yes	—
128	#492	Dic₁₉	1	2	yes	—
129	#435	—	38	4	no	—
130	#432	—	19	2	no	—
131	#432	—	19	2	no	—
132	#408	—	38	2	no	—
133	C₄×M₁₆	C₂×D₁₉	1	1	yes	characteristic
134	#331	—	38	4	no	—
135	#329	—	38	2	no	—
136	C₂×C₁₉	—	4	1	no	—
137	C₂×C₁₉	—	8	2	no	—
138	C₂×C₁₉	—	16	2	no	—
139	C₂×C₁₉	#1887	1	1	yes	characteristic
140	C₂×C₁₉	#1903	1	2	yes	—
141	C₂×#41	C₂²⋊D₁₉	1	2	yes	—
142	C₂²×D₄	—	2	2	no	—
143	C₂²×D₄	—	2	1	no	—
144	AGL(1,ℤ/8)	—	4	4	no	—
145	AGL(1,ℤ/8)	—	4	4	no	—
146	C₂×SD₁₆	—	2	4	no	—
147	C₂×D₈	—	2	4	no	—
148	C₂×M₁₆	—	2	1	no	—
149	C₂×M₁₆	—	38	2	no	—
150	C₂²×C₈	—	38	2	no	—
151	C₄⋊Q₈	C₂×Dic₁₉	1	1	yes	characteristic
152	#127	—	2	2	no	—
153	#127	—	2	1	no	—
154	#127	C₂×Dic₁₉	1	2	yes	—
155	#127	C₂×Dic₁₉	1	1	yes	characteristic
156	#124	C₂²⋊D₁₉	1	2	yes	—
157	#121	—	2	2	no	—
158	C₄×D₄	—	2	2	no	—
159	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
160	C₄⋊C₈	—	19	4	no	—
161	C₄⋊C₈	—	38	2	no	—
162	C₂²⋊C₈	—	38	4	no	—
163	C₂²⋊C₈	—	38	2	no	—
164	C₂²⋊C₈	—	38	2	no	—
165	#97	—	2	1	no	—
166	#97	—	38	2	no	—
167	#97	—	38	2	no	—
168	C₄×C₈	C₂×Dic₁₉	1	2	yes	—
169	C₁₉	#9423	1	1	yes	characteristic, complemented, Sylow
170	C₂⁴	—	4	1	no	—
171	#41	—	4	2	no	—
172	#41	—	4	2	no	—
173	C₂×Q₈	C₂²⋊Dic₁₉	1	2	yes	—
174	C₂×D₄	—	2	2	no	—
175	C₂×D₄	—	2	2	no	—
176	C₂×D₄	—	2	4	no	—
177	C₂×D₄	—	2	2	no	—
178	C₂×D₄	—	4	2	no	—
179	C₂×D₄	—	4	2	no	—
180	C₂×D₄	—	4	1	no	—
181	C₂×D₄	—	4	2	no	—
182	C₂×D₄	—	8	4	no	—
183	C₂×D₄	C₂²⋊Dic₁₉	1	2	yes	—
184	C₂²×C₄	—	2	2	no	—
185	C₂²×C₄	#64543	1	2	yes	—
186	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
187	SD₁₆	—	4	8	no	—
188	D₈	—	4	8	no	—
189	M₁₆	—	2	4	no	—
190	M₁₆	—	152	2	no	—
191	C₂×C₈	—	2	2	no	—
192	C₂×C₈	—	38	4	no	—
193	C₂×C₈	—	76	2	no	—
194	C₂×C₈	—	152	2	no	—
195	C₄⋊C₄	—	2	2	no	—
196	C₂²⋊C₄	—	2	4	no	—
197	C₄²	D₄×D₁₉	1	2	yes	—
198	C₄²	C₂²×Dic₁₉	1	1	yes	characteristic
199	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
200	C₂³	—	2	2	no	—
201	C₂³	—	4	2	no	—
202	C₂³	—	8	1	no	—
203	C₂³	—	8	1	no	—
204	C₂³	—	8	4	no	—
205	C₂³	#10597381	1	1	yes	characteristic
206	Q₈	—	4	2	no	—
207	D₄	—	4	2	no	—
208	D₄	—	4	4	no	—
209	D₄	—	8	2	no	—
210	D₄	—	8	4	no	—
211	D₄	—	8	4	no	—
212	D₄	—	8	2	no	—
213	D₄	—	8	2	no	—
214	C₂×C₄	—	2	2	no	—
215	C₂×C₄	—	2	2	no	—
216	C₂×C₄	—	4	2	no	—
217	C₂×C₄	—	4	2	no	—
218	C₂×C₄	—	4	2	no	—
219	C₂×C₄	D₄×Dic₁₉	1	2	yes	—
220	C₂×C₄	#10597383	1	1	yes	characteristic
221	C₂×C₄	#10597385	1	2	yes	—
222	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
223	C₈	—	2	4	no	—
224	C₈	—	76	4	no	—
225	C₈	—	152	2	no	—
226	C₂²	—	2	2	no	—
227	C₂²	—	2	1	no	—
228	C₂²	—	4	4	no	—
229	C₂²	—	4	2	no	—
230	C₂²	—	8	4	no	—
231	C₂²	—	8	2	no	—
232	C₂²	—	16	2	no	—
233	C₂²	—	16	2	no	—
234	C₂²	#11926424	1	1	yes	characteristic
235	C₄	—	2	2	no	—
236	C₄	—	2	2	no	—
237	C₄	—	2	1	no	—
238	C₄	—	4	2	no	—
239	C₄	#11926711	1	2	yes	—
240	C₂	—	4	1	no	—
241	C₂	—	8	2	no	—
242	C₂	—	16	2	no	—
243	C₂	#14564034	1	1	yes	characteristic
244	C₂	#14564117	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#14572706

C₂

yes

maximal, characteristic, complemented

#14562349

C₂

yes

maximal, complemented

#14562270

C₂

yes

maximal, characteristic, complemented

#14561507

C₂

yes

maximal, complemented

C₁₉×#3151

C₂

yes

maximal, characteristic

#11926616

—

#11926601

C₂²

yes

—

#11926601

C₂²

yes

—

#11926511

—

#11926288

—

#11926284

—

C₂×C₁₉×AGL(1,ℤ/8)

—

C₁₉×#532

C₂²

yes

characteristic

C₂×C₁₉×#127

C₂²

yes

characteristic

C₁₉×#496

—

C₁₉×#493

C₄

yes

—

C₁₉×#492

C₄

yes

—

C₄×M₁₆×C₁₉

C₂²

yes

characteristic

C₂×#41×C₁₉

D₄

yes

—

C₂²×D₄×C₁₉

—

C₂²×D₄×C₁₉

—

C₁₉×AGL(1,ℤ/8)

—

C₁₉×AGL(1,ℤ/8)

—

C₂×SD₁₆×C₁₉

—

C₂×D₈×C₁₉

—

C₂×M₁₆×C₁₉

—

C₁₉×C₄⋊Q₈

C₂×C₄

yes

characteristic

C₁₉×#127

—

C₁₉×#127

—

C₁₉×#127

C₂×C₄

yes

—

C₁₉×#127

C₂×C₄

yes

characteristic

C₁₉×#124

D₄

yes

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂×#64520

—

C₂²×C₁₉⋊C₈

—

C₁₉×#97

—

C₄×C₈×C₁₉

C₂×C₄

yes

—

C₂²⋊(C₁₉⋊C₈)

—

C₂²⋊(C₁₉⋊C₈)

—

C₂²⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

D₄

yes

—

#10597260

—

#10597260

—

C₂⁴×C₁₉

—

#41×C₁₉

—

#41×C₁₉

—

C₂×Q₈×C₁₉

C₂²⋊C₄

yes

—

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

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

#41

yes

—

SD₁₆×C₁₉

—

D₈×C₁₉

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

C₂²×C₄

yes

characteristic

C₄²×C₁₉

C₂×D₄

yes

—

C₄²×C₁₉

C₂×D₄

yes

characteristic

#64520

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

#9423

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

#123

yes

characteristic

Q₈×C₁₉

—

D₄×C₁₉

—

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×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₁₉

C₄×D₄

yes

—

C₂×C₄×C₁₉

#120

yes

characteristic

100

C₂×C₄×C₁₉

#121

yes

—

101

C₈×C₁₉

—

102

C₁₉⋊C₈

—

103

C₁₉⋊C₈

—

104

#3151

D₁₉

yes

characteristic

105

#2980

—

106

#1555

—

107

#1536

—

108

#1291

—

109

C₂²×C₁₉

—

110

C₂²×C₁₉

—

111

C₂²×C₁₉

—

112

C₂²×C₁₉

—

113

C₂²×C₁₉

—

114

C₂²×C₁₉

—

115

C₂²×C₁₉

—

116

C₂²×C₁₉

—

117

C₂²×C₁₉

#386

yes

characteristic

118

C₄×C₁₉

—

119

C₄×C₁₉

—

120

C₄×C₁₉

—

121

C₄×C₁₉

—

122

C₄×C₁₉

#453

yes

—

123

C₂×AGL(1,ℤ/8)

—

124

#532

C₂×D₁₉

yes

characteristic

125

C₂×#127

C₂×D₁₉

yes

characteristic

126

#496

—

127

#493

Dic₁₉

yes

—

128

#492

Dic₁₉

yes

—

129

#435

—

130

#432

—

131

#432

—

132

#408

—

133

C₄×M₁₆

C₂×D₁₉

yes

characteristic

134

#331

—

135

#329

—

136

C₂×C₁₉

—

137

C₂×C₁₉

—

138

C₂×C₁₉

—

139

C₂×C₁₉

#1887

yes

characteristic

140

C₂×C₁₉

#1903

yes

—

141

C₂×#41

C₂²⋊D₁₉

yes

—

142

C₂²×D₄

—

143

C₂²×D₄

—

144

AGL(1,ℤ/8)

—

145

AGL(1,ℤ/8)

—

146

C₂×SD₁₆

—

147

C₂×D₈

—

148

C₂×M₁₆

—

149

C₂×M₁₆

—

150

C₂²×C₈

—

151

C₄⋊Q₈

C₂×Dic₁₉

yes

characteristic

152

#127

—

153

#127

—

154

#127

C₂×Dic₁₉

yes

—

155

#127

C₂×Dic₁₉

yes

characteristic

156

#124

C₂²⋊D₁₉

yes

—

157

#121

—

158

C₄×D₄

—

159

C₂×C₄²

C₂²×D₁₉

yes

characteristic

160

C₄⋊C₈

—

161

C₄⋊C₈

—

162

C₂²⋊C₈

—

163

C₂²⋊C₈

—

164

C₂²⋊C₈

—

165

#97

—

166

#97

—

167

#97

—

168

C₄×C₈

C₂×Dic₁₉

yes

—

169

C₁₉

#9423

yes

characteristic, complemented, Sylow

170

C₂⁴

—

171

#41

—

172

#41

—

173

C₂×Q₈

C₂²⋊Dic₁₉

yes

—

174

C₂×D₄

—

175

C₂×D₄

—

176

C₂×D₄

—

177

C₂×D₄

—

178

C₂×D₄

—

179

C₂×D₄

—

180

C₂×D₄

—

181

C₂×D₄

—

182

C₂×D₄

—

183

C₂×D₄

C₂²⋊Dic₁₉

yes

—

184

C₂²×C₄

—

185

C₂²×C₄

#64543

yes

—

186

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

187

SD₁₆

—

188

D₈

—

189

M₁₆

—

190

M₁₆

—

152

—

191

C₂×C₈

—

192

C₂×C₈

—

193

C₂×C₈

—

194

C₂×C₈

—

152

—

195

C₄⋊C₄

—

196

C₂²⋊C₄

—

197

C₄²

D₄×D₁₉

yes

—

198

C₄²

C₂²×Dic₁₉

yes

characteristic

199

C₄²

C₂×C₂²⋊D₁₉

yes

characteristic

200

C₂³

—

201

C₂³

—

202

C₂³

—

203

C₂³

—

204

C₂³

—

205

C₂³

#10597381

yes

characteristic

206

Q₈

—

207

D₄

—

208

D₄

—

209

D₄

—

210

D₄

—

211

D₄

—

212

D₄

—

213

D₄

—

214

C₂×C₄

—

215

C₂×C₄

—

216

C₂×C₄

—

217

C₂×C₄

—

218

C₂×C₄

—

219

C₂×C₄

D₄×Dic₁₉

yes

—

220

C₂×C₄

#10597383

yes

characteristic

221

C₂×C₄

#10597385

yes

—

222

C₂×C₄

C₂×C₂²⋊Dic₁₉

yes

characteristic

223

C₈

—

224

C₈

—

225

C₈

—

152

—

226

C₂²

—

227

C₂²

—

228

C₂²

—

229

C₂²

—

230

C₂²

—

231

C₂²

—

232

C₂²

—

233

C₂²

—

234

C₂²

#11926424

yes

characteristic

235

C₄

—

236

C₄

—

237

C₄

—

238

C₄

—

239

C₄

#11926711

yes

—

240

C₂

—

241

C₂

—

242

C₂

—

243

C₂

#14564034

yes

characteristic

244

C₂

#14564117

yes

—

	subgroup	G/H
center	C₂²	#11926424
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₁₉×#3151	C₂
socle	C₂²×C₁₉	#386
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#3151	D₁₉
hypocenter	C₁₉	#9423
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3151

subgroup

G/H

center

C₂²

#11926424

commutator

C₄²×C₁₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting, prime radical

C₁₉×#3151

C₂

socle

C₂²×C₁₉

#386

cosocle

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3151

N	H ≅ G/N	type
1. #14572706	C₂	semidirect
2. #14562349	C₂	semidirect
3. #14562270	C₂	semidirect
4. #14561507	C₂	semidirect
169. C₁₉	#9423	semidirect

H ≅ G/N

type

1. #14572706

C₂

semidirect

2. #14562349

C₂

semidirect

3. #14562270

C₂

semidirect

4. #14561507

C₂

semidirect

169. C₁₉

#9423

semidirect

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

subgroup	index
#14572706	2
#14562349	2
#14562270	2
#14561507	2
C₁₉×#3151	2
#9423	19

subgroup

index

C₁₉×#3151

Subgroups — #18080067

Conjugacy classes of subgroups

Complements

Maximal subgroups