Group #18038893 — subgroups

Subgroups — C₁₉×#32934 #18038893

Order 4864.

1378 conjugacy classes of subgroups; only the 310 normal subgroups are shown.

normal subgroups only

This group has 1378 conjugacy classes of subgroups — too many to draw. Only its 310 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×C₁₉×#131	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#467	C₂	1	3	yes	maximal, complemented
3	C₁₉×#2616	C₂	1	2	yes	maximal
4	C₁₉×#1894	C₂	1	6	yes	maximal, complemented
5	C₁₉×#1808	C₂	1	3	yes	maximal, complemented
6	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
7	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
8	C₂×C₁₉×#131	—	2	12	no	—
9	C₂²×M₁₆×C₁₉	C₂²	1	3	yes	—
10	C₂³×C₈×C₁₉	C₂²	1	3	yes	—
11	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	6	yes	—
12	C₁₉×#467	—	2	12	no	—
13	C₂×C₁₉×#107	C₂²	1	3	yes	—
14	C₂×C₁₉×#103	C₂²	1	6	yes	—
15	C₁₉×#395	—	2	2	no	—
16	C₁₉×#394	—	2	6	no	—
17	C₁₉×#380	C₂²	1	6	yes	—
18	C₁₉×#340	C₂²	1	6	yes	—
19	C₂×#41×C₁₉	—	2	6	no	—
20	C₂×#41×C₁₉	—	2	6	no	—
21	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
22	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
23	C₂²×D₄×C₁₉	D₄	1	3	yes	—
24	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
25	C₂×Q₁₆×C₁₉	—	2	6	no	—
26	C₁₉×#131	—	2	32	no	—
27	C₂×M₁₆×C₁₉	—	2	6	no	—
28	C₂×M₁₆×C₁₉	—	2	12	no	—
29	C₂²×C₈×C₁₉	—	2	12	no	—
30	C₂²×C₈×C₁₉	D₄	1	12	yes	—
31	C₂²×C₈×C₁₉	C₂³	1	3	yes	—
32	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
33	C₁₉×C₂²⋊Q₈	—	2	12	no	—
34	C₁₉×C₂²⋊Q₈	—	2	12	no	—
35	C₂×C₄⋊C₄×C₁₉	—	2	6	no	—
36	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
37	C₂×C₂²⋊C₄×C₁₉	—	2	6	no	—
38	C₂×C₂²⋊C₄×C₁₉	—	2	6	no	—
39	C₁₉×#107	—	2	6	no	—
40	C₁₉×#103	—	2	12	no	—
41	C₁₉×#95	—	2	6	no	—
42	C₂⁴×C₁₉	C₂×D₄	1	3	yes	—
43	#41×C₁₉	—	2	8	no	—
44	#41×C₁₉	—	2	24	no	—
45	C₂×Q₈×C₁₉	—	2	6	no	—
46	C₂×Q₈×C₁₉	—	2	6	no	—
47	C₂×Q₈×C₁₉	—	2	6	no	—
48	C₂×D₄×C₁₉	—	2	12	no	—
49	C₂×D₄×C₁₉	—	2	6	no	—
50	C₂²×C₄×C₁₉	—	2	6	no	—
51	C₂²×C₄×C₁₉	—	2	6	no	—
52	C₂²×C₄×C₁₉	—	2	2	no	—
53	C₂²×C₄×C₁₉	—	2	6	no	—
54	C₂²×C₄×C₁₉	C₂×D₄	1	3	yes	—
55	C₂²×C₄×C₁₉	C₂×D₄	1	6	yes	—
56	C₂²×C₄×C₁₉	#41	1	6	yes	—
57	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
58	Q₁₆×C₁₉	—	4	4	no	—
59	M₁₆×C₁₉	—	2	24	no	—
60	C₂×C₈×C₁₉	—	2	6	no	—
61	C₂×C₈×C₁₉	—	2	24	no	—
62	C₂×C₈×C₁₉	C₂×D₄	1	6	yes	—
63	C₂×C₈×C₁₉	C₂×D₄	1	6	yes	—
64	C₄⋊C₄×C₁₉	—	2	6	no	—
65	C₄⋊C₄×C₁₉	—	2	6	no	—
66	C₄⋊C₄×C₁₉	—	4	12	no	—
67	C₂²⋊C₄×C₁₉	—	4	12	no	—
68	C₂²⋊C₄×C₁₉	—	8	6	no	—
69	#32934	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
70	C₂³×C₁₉	—	2	6	no	—
71	C₂³×C₁₉	—	2	3	no	—
72	C₂³×C₁₉	—	2	6	no	—
73	C₂³×C₁₉	—	2	3	no	—
74	C₂³×C₁₉	#121	1	6	yes	—
75	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
76	Q₈×C₁₉	—	2	8	no	—
77	Q₈×C₁₉	—	4	2	no	—
78	Q₈×C₁₉	—	4	6	no	—
79	D₄×C₁₉	—	2	24	no	—
80	C₂×C₄×C₁₉	—	2	6	no	—
81	C₂×C₄×C₁₉	—	2	6	no	—
82	C₂×C₄×C₁₉	—	2	6	no	—
83	C₂×C₄×C₁₉	—	2	12	no	—
84	C₂×C₄×C₁₉	—	4	6	no	—
85	C₂×C₄×C₁₉	—	4	6	no	—
86	C₂×C₄×C₁₉	—	4	6	no	—
87	C₂×C₄×C₁₉	—	4	6	no	—
88	C₂×C₄×C₁₉	#121	1	6	yes	—
89	C₂×C₄×C₁₉	C₂²×D₄	1	3	yes	—
90	C₂×C₄×C₁₉	C₂×#41	1	3	yes	—
91	C₈×C₁₉	—	2	6	no	—
92	C₈×C₁₉	#120	1	4	yes	—
93	C₂²×#131	C₂×C₁₉	1	1	yes	characteristic
94	C₂×#467	C₂×C₁₉	1	3	yes	complemented
95	#2616	C₂×C₁₉	1	2	yes	—
96	#1894	C₂×C₁₉	1	6	yes	complemented
97	#1808	C₂×C₁₉	1	3	yes	complemented
98	C₂²×C₁₉	—	2	6	no	—
99	C₂²×C₁₉	—	2	6	no	—
100	C₂²×C₁₉	—	2	6	no	—
101	C₂²×C₁₉	—	4	6	no	—
102	C₂²×C₁₉	—	4	6	no	—
103	C₂²×C₁₉	C₂×#121	1	3	yes	—
104	C₂²×C₁₉	#576	1	1	yes	characteristic
105	C₂²×C₁₉	#578	1	3	yes	—
106	C₄×C₁₉	—	2	6	no	—
107	C₄×C₁₉	—	8	2	no	—
108	C₄×C₁₉	—	8	6	no	—
109	C₄×C₁₉	C₂×#120	1	1	yes	characteristic
110	C₄×C₁₉	#525	1	3	yes	—
111	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
112	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
113	C₂×#131	—	2	12	no	—
114	C₂²×M₁₆	C₂²×C₁₉	1	3	yes	—
115	C₂³×C₈	C₂²×C₁₉	1	3	yes	—
116	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	6	yes	—
117	#467	—	2	12	no	—
118	C₂×#107	C₂²×C₁₉	1	3	yes	—
119	C₂×#103	C₂²×C₁₉	1	6	yes	—
120	#395	—	2	2	no	—
121	#394	—	2	6	no	—
122	#380	C₂²×C₁₉	1	6	yes	—
123	#340	C₂²×C₁₉	1	6	yes	—
124	C₂×C₁₉	—	4	6	no	—
125	C₂×C₁₉	#2847	1	1	yes	characteristic
126	C₂×C₁₉	#3059	1	3	yes	—
127	C₂×C₁₉	#3061	1	3	yes	—
128	C₂×#41	—	2	6	no	—
129	C₂×#41	—	2	6	no	—
130	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
131	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
132	C₂²×D₄	D₄×C₁₉	1	3	yes	—
133	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
134	C₂×Q₁₆	—	2	6	no	—
135	#131	—	2	32	no	—
136	C₂×M₁₆	—	2	6	no	—
137	C₂×M₁₆	—	2	12	no	—
138	C₂²×C₈	—	2	12	no	—
139	C₂²×C₈	D₄×C₁₉	1	12	yes	—
140	C₂²×C₈	C₂³×C₁₉	1	3	yes	—
141	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
142	C₂²⋊Q₈	—	2	12	no	—
143	C₂²⋊Q₈	—	2	12	no	—
144	C₂×C₄⋊C₄	—	2	6	no	—
145	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
146	C₂×C₂²⋊C₄	—	2	6	no	—
147	C₂×C₂²⋊C₄	—	2	6	no	—
148	#107	—	2	6	no	—
149	#103	—	2	12	no	—
150	#95	—	2	6	no	—
151	C₁₉	#32934	1	1	yes	characteristic, direct product factor, Sylow
152	C₂⁴	C₂×D₄×C₁₉	1	3	yes	—
153	#41	—	2	8	no	—
154	#41	—	2	24	no	—
155	C₂×Q₈	—	2	6	no	—
156	C₂×Q₈	—	2	6	no	—
157	C₂×Q₈	—	2	6	no	—
158	C₂×D₄	—	2	12	no	—
159	C₂×D₄	—	2	6	no	—
160	C₂²×C₄	—	2	6	no	—
161	C₂²×C₄	—	2	6	no	—
162	C₂²×C₄	—	2	6	no	—
163	C₂²×C₄	—	2	2	no	—
164	C₂²×C₄	C₂×D₄×C₁₉	1	3	yes	—
165	C₂²×C₄	C₂×D₄×C₁₉	1	6	yes	—
166	C₂²×C₄	#41×C₁₉	1	6	yes	—
167	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
168	Q₁₆	—	4	4	no	—
169	M₁₆	—	2	24	no	—
170	C₂×C₈	—	2	6	no	—
171	C₂×C₈	—	2	24	no	—
172	C₂×C₈	C₂×D₄×C₁₉	1	6	yes	—
173	C₂×C₈	C₂×D₄×C₁₉	1	6	yes	—
174	C₄⋊C₄	—	2	6	no	—
175	C₄⋊C₄	—	2	6	no	—
176	C₄⋊C₄	—	4	12	no	—
177	C₂²⋊C₄	—	4	12	no	—
178	C₂²⋊C₄	—	8	6	no	—
179	C₂³	—	2	6	no	—
180	C₂³	—	2	3	no	—
181	C₂³	—	2	6	no	—
182	C₂³	—	2	3	no	—
183	C₂³	C₁₉×#121	1	6	yes	—
184	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
185	Q₈	—	2	8	no	—
186	Q₈	—	4	2	no	—
187	Q₈	—	4	6	no	—
188	D₄	—	2	24	no	—
189	C₂×C₄	—	2	6	no	—
190	C₂×C₄	—	2	6	no	—
191	C₂×C₄	—	2	6	no	—
192	C₂×C₄	—	2	12	no	—
193	C₂×C₄	—	4	6	no	—
194	C₂×C₄	—	4	6	no	—
195	C₂×C₄	—	4	6	no	—
196	C₂×C₄	—	4	6	no	—
197	C₂×C₄	C₁₉×#121	1	6	yes	—
198	C₂×C₄	C₂²×D₄×C₁₉	1	3	yes	—
199	C₂×C₄	C₂×#41×C₁₉	1	3	yes	—
200	C₈	—	2	6	no	—
201	C₈	C₁₉×#120	1	4	yes	—
202	C₂²	—	2	6	no	—
203	C₂²	—	2	6	no	—
204	C₂²	—	2	6	no	—
205	C₂²	—	4	6	no	—
206	C₂²	—	4	6	no	—
207	C₂²	C₂×C₁₉×#121	1	3	yes	—
208	C₂²	C₁₉×#576	1	1	yes	characteristic
209	C₂²	C₁₉×#578	1	3	yes	—
210	C₄	—	2	6	no	—
211	C₄	—	8	6	no	—
212	C₄	—	8	2	no	—
213	C₄	C₂×C₁₉×#120	1	1	yes	characteristic
214	C₄	C₁₉×#525	1	3	yes	—
215	C₂	—	4	6	no	—
216	C₂	C₁₉×#2847	1	1	yes	characteristic
217	C₂	C₁₉×#3059	1	3	yes	—
218	C₂	C₁₉×#3061	1	3	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×C₁₉×#131

C₂

yes

maximal, characteristic

C₂×C₁₉×#467

C₂

yes

maximal, complemented

C₁₉×#2616

C₂

yes

maximal

C₁₉×#1894

C₂

yes

maximal, complemented

C₁₉×#1808

C₂

yes

maximal, complemented

C₂²×#41×C₁₉

C₂²

yes

characteristic

C₂²×Q₁₆×C₁₉

C₂²

yes

characteristic

C₂×C₁₉×#131

—

C₂²×M₁₆×C₁₉

C₂²

yes

—

C₂³×C₈×C₁₉

C₂²

yes

—

C₂×C₁₉×C₂²⋊Q₈

C₂²

yes

—

C₁₉×#467

—

C₂×C₁₉×#107

C₂²

yes

—

C₂×C₁₉×#103

C₂²

yes

—

C₁₉×#395

—

C₁₉×#394

—

C₁₉×#380

C₂²

yes

—

C₁₉×#340

C₂²

yes

—

C₂×#41×C₁₉

—

C₂×#41×C₁₉

—

C₂²×Q₈×C₁₉

D₄

yes

characteristic

C₂²×Q₈×C₁₉

C₂³

yes

—

C₂²×D₄×C₁₉

D₄

yes

—

C₂³×C₄×C₁₉

C₂³

yes

—

C₂×Q₁₆×C₁₉

—

C₁₉×#131

—

C₂×M₁₆×C₁₉

—

C₂×M₁₆×C₁₉

—

C₂²×C₈×C₁₉

—

C₂²×C₈×C₁₉

D₄

yes

—

C₂²×C₈×C₁₉

C₂³

yes

—

C₂²×C₈×C₁₉

C₂³

yes

characteristic

C₁₉×C₂²⋊Q₈

—

C₁₉×C₂²⋊Q₈

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

C₂³

yes

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₂²⋊C₄×C₁₉

—

C₁₉×#107

—

C₁₉×#103

—

C₁₉×#95

—

C₂⁴×C₁₉

C₂×D₄

yes

—

#41×C₁₉

—

#41×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂×D₄×C₁₉

—

C₂×D₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

#41

yes

—

C₂²×C₄×C₁₉

C₂⁴

yes

characteristic

Q₁₆×C₁₉

—

M₁₆×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

C₂×D₄

yes

—

C₂×C₈×C₁₉

C₂×D₄

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

#32934

C₁₉

yes

maximal, characteristic, direct product factor, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

#121

yes

—

C₂³×C₁₉

C₂²×D₄

yes

characteristic

Q₈×C₁₉

—

Q₈×C₁₉

—

Q₈×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

—

C₂×C₄×C₁₉

#121

yes

—

C₂×C₄×C₁₉

C₂²×D₄

yes

—

C₂×C₄×C₁₉

C₂×#41

yes

—

C₈×C₁₉

—

C₈×C₁₉

#120

yes

—

C₂²×#131

C₂×C₁₉

yes

characteristic

C₂×#467

C₂×C₁₉

yes

complemented

#2616

C₂×C₁₉

yes

—

#1894

C₂×C₁₉

yes

complemented

#1808

C₂×C₁₉

yes

complemented

C₂²×C₁₉

—

C₂²×C₁₉

—

100

C₂²×C₁₉

—

101

C₂²×C₁₉

—

102

C₂²×C₁₉

—

103

C₂²×C₁₉

C₂×#121

yes

—

104

C₂²×C₁₉

#576

yes

characteristic

105

C₂²×C₁₉

#578

yes

—

106

C₄×C₁₉

—

107

C₄×C₁₉

—

108

C₄×C₁₉

—

109

C₄×C₁₉

C₂×#120

yes

characteristic

110

C₄×C₁₉

#525

yes

—

111

C₂²×#41

C₂²×C₁₉

yes

characteristic

112

C₂²×Q₁₆

C₂²×C₁₉

yes

characteristic

113

C₂×#131

—

114

C₂²×M₁₆

C₂²×C₁₉

yes

—

115

C₂³×C₈

C₂²×C₁₉

yes

—

116

C₂×C₂²⋊Q₈

C₂²×C₁₉

yes

—

117

#467

—

118

C₂×#107

C₂²×C₁₉

yes

—

119

C₂×#103

C₂²×C₁₉

yes

—

120

#395

—

121

#394

—

122

#380

C₂²×C₁₉

yes

—

123

#340

C₂²×C₁₉

yes

—

124

C₂×C₁₉

—

125

C₂×C₁₉

#2847

yes

characteristic

126

C₂×C₁₉

#3059

yes

—

127

C₂×C₁₉

#3061

yes

—

128

C₂×#41

—

129

C₂×#41

—

130

C₂²×Q₈

D₄×C₁₉

yes

characteristic

131

C₂²×Q₈

C₂³×C₁₉

yes

—

132

C₂²×D₄

D₄×C₁₉

yes

—

133

C₂³×C₄

C₂³×C₁₉

yes

—

134

C₂×Q₁₆

—

135

#131

—

136

C₂×M₁₆

—

137

C₂×M₁₆

—

138

C₂²×C₈

—

139

C₂²×C₈

D₄×C₁₉

yes

—

140

C₂²×C₈

C₂³×C₁₉

yes

—

141

C₂²×C₈

C₂³×C₁₉

yes

characteristic

142

C₂²⋊Q₈

—

143

C₂²⋊Q₈

—

144

C₂×C₄⋊C₄

—

145

C₂×C₄⋊C₄

C₂³×C₁₉

yes

—

146

C₂×C₂²⋊C₄

—

147

C₂×C₂²⋊C₄

—

148

#107

—

149

#103

—

150

#95

—

151

C₁₉

#32934

yes

characteristic, direct product factor, Sylow

152

C₂⁴

C₂×D₄×C₁₉

yes

—

153

#41

—

154

#41

—

155

C₂×Q₈

—

156

C₂×Q₈

—

157

C₂×Q₈

—

158

C₂×D₄

—

159

C₂×D₄

—

160

C₂²×C₄

—

161

C₂²×C₄

—

162

C₂²×C₄

—

163

C₂²×C₄

—

164

C₂²×C₄

C₂×D₄×C₁₉

yes

—

165

C₂²×C₄

C₂×D₄×C₁₉

yes

—

166

C₂²×C₄

#41×C₁₉

yes

—

167

C₂²×C₄

C₂⁴×C₁₉

yes

characteristic

168

Q₁₆

—

169

M₁₆

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

C₂×D₄×C₁₉

yes

—

173

C₂×C₈

C₂×D₄×C₁₉

yes

—

174

C₄⋊C₄

—

175

C₄⋊C₄

—

176

C₄⋊C₄

—

177

C₂²⋊C₄

—

178

C₂²⋊C₄

—

179

C₂³

—

180

C₂³

—

181

C₂³

—

182

C₂³

—

183

C₂³

C₁₉×#121

yes

—

184

C₂³

C₂²×D₄×C₁₉

yes

characteristic

185

Q₈

—

186

Q₈

—

187

Q₈

—

188

D₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

C₁₉×#121

yes

—

198

C₂×C₄

C₂²×D₄×C₁₉

yes

—

199

C₂×C₄

C₂×#41×C₁₉

yes

—

200

C₈

—

201

C₈

C₁₉×#120

yes

—

202

C₂²

—

203

C₂²

—

204

C₂²

—

205

C₂²

—

206

C₂²

—

207

C₂²

C₂×C₁₉×#121

yes

—

208

C₂²

C₁₉×#576

yes

characteristic

209

C₂²

C₁₉×#578

yes

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

C₂×C₁₉×#120

yes

characteristic

214

C₄

C₁₉×#525

yes

—

215

C₂

—

216

C₂

C₁₉×#2847

yes

characteristic

217

C₂

C₁₉×#3059

yes

—

218

C₂

C₁₉×#3061

yes

—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂²×#41×C₁₉	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂²×#41×C₁₉ ◁ G

subgroup

G/H

center, socle

C₂³×C₁₉

C₂²×D₄

commutator, Frattini, cosocle

C₂²×C₄

C₂⁴×C₁₉

prime radical

C₂²×#41×C₁₉

C₂²

LCS

G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

UCS

C₁ ◁ C₂³×C₁₉ ◁ C₂²×#41×C₁₉ ◁ G

N	H ≅ G/N	type
2. C₂×C₁₉×#467	C₂	semidirect
4. C₁₉×#1894	C₂	semidirect
5. C₁₉×#1808	C₂	semidirect
69. #32934	C₁₉	direct (N × H)
94. C₂×#467	C₂×C₁₉	semidirect
96. #1894	C₂×C₁₉	semidirect
97. #1808	C₂×C₁₉	semidirect
151. C₁₉	#32934	direct (N × H)

H ≅ G/N

type

2. C₂×C₁₉×#467

C₂

semidirect

4. C₁₉×#1894

C₂

semidirect

5. C₁₉×#1808

C₂

semidirect

69. #32934

C₁₉

direct (N × H)

94. C₂×#467

C₂×C₁₉

semidirect

96. #1894

C₂×C₁₉

semidirect

97. #1808

C₂×C₁₉

semidirect

151. C₁₉

#32934

direct (N × H)

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

subgroup	index
C₂²×C₁₉×#131	2
C₂×C₁₉×#467	2
C₁₉×#2616	2
C₁₉×#1894	2
C₁₉×#1808	2
#32934	19

subgroup

index

C₂²×C₁₉×#131

C₂×C₁₉×#467

C₁₉×#2616

C₁₉×#1894

C₁₉×#1808

#32934

Subgroups — C₁₉×#32934 #18038893

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C19×#32934 #18038893

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#32934 #18038893