Group #18080093 — subgroups

Subgroups — #18080093

Order 4864.

620 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 620 conjugacy classes of subgroups — too many to draw. Only its 99 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	#14574085	C₂	1	1	yes	maximal, characteristic
2	#14562349	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562181	C₂	1	2	yes	maximal, complemented
4	#14561499	C₂	1	2	yes	maximal, complemented
5	C₁₉×#2380	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10597378	—	2	2	no	—
7	#11927094	C₂²	1	1	yes	characteristic
8	#11926931	—	2	2	no	—
9	#11926920	C₄	1	2	yes	complemented
10	#11926916	C₄	1	2	yes	complemented
11	#11926601	C₂²	1	2	yes	—
12	C₄×#64520	C₂²	1	1	yes	characteristic
13	#11926288	—	2	2	no	—
14	#11926277	—	2	4	no	—
15	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
16	C₁₉×#386	—	2	4	no	—
17	C₁₉×#386	—	2	2	no	—
18	C₁₉×#383	C₂²	1	2	yes	—
19	C₂²×D₄×C₁₉	—	2	2	no	—
20	C₂²×D₄×C₁₉	D₄	1	2	yes	—
21	C₂³×C₄×C₁₉	—	2	2	no	—
22	C₂×#64541	—	2	1	no	—
23	C₁₉×#127	—	2	2	no	—
24	C₁₉×#127	C₂×C₄	1	2	yes	—
25	C₁₉×#127	D₄	1	2	yes	—
26	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
27	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
28	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
29	C₂×#64526	—	2	4	no	—
30	#10597378	—	4	4	no	—
31	#10597378	—	4	4	no	—
32	C₂×#64525	—	2	4	no	—
33	#10597376	—	2	2	no	—
34	C₂×#64520	—	2	1	no	—
35	#10597321	—	2	1	no	—
36	#10597320	C₂×C₄	1	1	yes	characteristic, complemented
37	C₄×D₇₆	—	2	2	no	—
38	#10597315	C₂×C₄	1	1	yes	characteristic, complemented
39	C₁₉×#95	—	2	2	no	—
40	C₁₉×#95	—	2	2	no	—
41	C₁₉×#95	D₄	1	4	yes	—
42	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
43	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
44	#10597260	—	2	1	no	—
45	#10597260	—	2	2	no	—
46	C₄×C₁₉⋊C₈	C₂×C₄	1	2	yes	complemented
47	C₂⁴×C₁₉	—	2	2	no	—
48	C₂×D₄×C₁₉	—	2	4	no	—
49	C₂×D₄×C₁₉	—	2	4	no	—
50	C₂×D₄×C₁₉	—	2	2	no	—
51	C₂×D₄×C₁₉	—	4	2	no	—
52	C₂×D₄×C₁₉	—	4	2	no	—
53	C₂×D₄×C₁₉	—	8	2	no	—
54	C₂×D₄×C₁₉	—	8	2	no	—
55	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
56	C₂²×C₄×C₁₉	—	2	4	no	—
57	C₂²×C₄×C₁₉	—	8	4	no	—
58	C₂²×C₄×C₁₉	—	8	2	no	—
59	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
60	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
61	C₂×C₂²⋊D₁₉	—	4	1	no	—
62	#64541	—	4	2	no	—
63	#64541	—	4	2	no	—
64	C₂×D₇₆	—	2	1	no	—
65	C₂×D₇₆	—	2	2	no	—
66	C₂×C₄×D₁₉	—	4	1	no	—
67	C₂×Dic₃₈	—	2	1	no	—
68	C₂²⋊C₄×C₁₉	—	8	4	no	—
69	C₂²⋊C₄×C₁₉	—	8	2	no	—
70	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
71	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
72	C₄²×C₁₉	#41	1	2	yes	—
73	#64526	—	4	8	no	—
74	#64525	—	4	8	no	—
75	(C₂×D₁₉)⋊C₄	—	4	2	no	—
76	C₄⋊Dic₁₉	—	2	2	no	—
77	#64520	—	2	4	no	—
78	C₂×C₁₉⋊C₈	—	2	2	no	—
79	C₂×C₁₉⋊C₈	—	4	2	no	—
80	#9428	—	19	1	no	maximal, Sylow
81	C₂³×C₁₉	—	2	4	no	—
82	C₂³×C₁₉	—	4	4	no	—
83	C₂³×C₁₉	—	4	4	no	—
84	C₂³×C₁₉	—	4	2	no	—
85	C₂³×C₁₉	—	4	2	no	—
86	C₂³×C₁₉	#120	1	1	yes	characteristic
87	C₂²×D₁₉	—	4	1	no	—
88	D₄×C₁₉	—	4	4	no	—
89	D₄×C₁₉	—	8	2	no	—
90	D₄×C₁₉	—	8	4	no	—
91	D₄×C₁₉	—	8	4	no	—
92	C₂×C₄×C₁₉	—	2	2	no	—
93	C₂×C₄×C₁₉	—	4	2	no	—
94	C₂×C₄×C₁₉	—	4	8	no	—
95	C₂×C₄×C₁₉	—	4	4	no	—
96	C₂×C₄×C₁₉	—	8	8	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	#121	1	2	yes	—
100	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
101	C₂²⋊D₁₉	—	8	2	no	—
102	C₂×Dic₁₉	—	4	1	no	—
103	D₇₆	—	4	2	no	—
104	D₇₆	—	8	2	no	—
105	C₄×D₁₉	—	8	1	no	—
106	C₄×D₁₉	—	8	1	no	—
107	Dic₃₈	—	4	2	no	—
108	C₁₉⋊C₈	—	2	4	no	—
109	C₁₉⋊C₈	—	8	2	no	—
110	#3151	—	19	1	no	—
111	#2380	D₁₉	1	1	yes	characteristic, complemented
112	#1555	—	19	1	no	—
113	#1514	—	19	2	no	—
114	#1288	—	19	2	no	—
115	C₂²×C₁₉	—	2	2	no	—
116	C₂²×C₁₉	—	4	4	no	—
117	C₂²×C₁₉	—	4	8	no	—
118	C₂²×C₁₉	—	8	2	no	—
119	C₂²×C₁₉	—	8	2	no	—
120	C₂²×C₁₉	—	8	4	no	—
121	C₂²×C₁₉	#386	1	1	yes	characteristic
122	C₂²×C₁₉	#453	1	2	yes	—
123	C₂×D₁₉	—	8	1	no	—
124	C₂×D₁₉	—	8	2	no	—
125	C₄×C₁₉	—	2	1	no	—
126	C₄×C₁₉	—	2	1	no	—
127	C₄×C₁₉	—	2	2	no	—
128	C₄×C₁₉	—	2	2	no	—
129	C₄×C₁₉	—	8	4	no	—
130	Dic₁₉	—	8	1	no	—
131	C₂×AGL(1,ℤ/8)	—	38	2	no	—
132	#532	—	19	1	no	—
133	C₂×#127	C₂×D₁₉	1	1	yes	characteristic
134	#496	—	38	2	no	—
135	#493	—	19	2	no	—
136	#492	—	19	2	no	—
137	#432	—	19	2	no	—
138	C₄×M₁₆	—	19	1	no	—
139	#386	—	2	2	no	—
140	#386	—	2	4	no	—
141	#383	C₂×D₁₉	1	2	yes	—
142	#331	—	38	2	no	—
143	#327	—	38	4	no	—
144	C₂×C₁₉	—	2	2	no	—
145	C₂×C₁₉	—	8	4	no	—
146	C₂×C₁₉	#1887	1	1	yes	characteristic
147	C₂×C₁₉	#1904	1	2	yes	—
148	D₁₉	—	16	1	no	—
149	C₂×#41	—	38	1	no	—
150	C₂²×D₄	—	2	2	no	—
151	C₂²×D₄	C₂²⋊D₁₉	1	2	yes	—
152	C₂³×C₄	—	2	2	no	—
153	AGL(1,ℤ/8)	—	76	4	no	—
154	AGL(1,ℤ/8)	—	76	4	no	—
155	C₂×SD₁₆	—	38	4	no	—
156	C₂×D₈	—	38	4	no	—
157	C₂×M₁₆	—	38	1	no	—
158	C₄⋊Q₈	—	19	1	no	—
159	#127	—	2	2	no	—
160	#127	—	19	1	no	—
161	#127	C₄×D₁₉	1	2	yes	—
162	#127	D₇₆	1	2	yes	—
163	#124	—	38	1	no	—
164	#121	—	38	2	no	—
165	C₄×D₄	—	38	2	no	—
166	C₂×C₂²⋊C₄	—	2	4	no	—
167	C₂×C₂²⋊C₄	—	2	2	no	—
168	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
169	C₄⋊C₈	—	38	2	no	—
170	C₂²⋊C₈	—	38	2	no	—
171	#97	—	38	1	no	—
172	#97	—	38	2	no	—
173	C₄×C₈	—	19	2	no	—
174	#95	—	2	2	no	—
175	#95	—	2	2	no	—
176	#95	C₂²⋊D₁₉	1	4	yes	—
177	C₁₉	#9428	1	1	yes	characteristic, complemented, Sylow
178	C₂⁴	—	2	2	no	—
179	#41	—	76	2	no	—
180	#41	—	76	2	no	—
181	C₂×Q₈	—	38	1	no	—
182	C₂×D₄	—	2	4	no	—
183	C₂×D₄	—	2	4	no	—
184	C₂×D₄	—	2	2	no	—
185	C₂×D₄	—	4	2	no	—
186	C₂×D₄	—	4	2	no	—
187	C₂×D₄	—	8	2	no	—
188	C₂×D₄	—	8	2	no	—
189	C₂×D₄	—	38	1	no	—
190	C₂×D₄	—	38	2	no	—
191	C₂×D₄	—	76	1	no	—
192	C₂×D₄	(C₂×D₁₉)⋊C₄	1	4	yes	—
193	C₂²×C₄	—	2	4	no	—
194	C₂²×C₄	—	8	4	no	—
195	C₂²×C₄	—	8	2	no	—
196	C₂²×C₄	—	76	1	no	—
197	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
198	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
199	SD₁₆	—	76	8	no	—
200	D₈	—	76	8	no	—
201	M₁₆	—	38	4	no	—
202	C₂×C₈	—	38	2	no	—
203	C₂×C₈	—	76	2	no	—
204	C₄⋊C₄	—	38	2	no	—
205	C₂²⋊C₄	—	8	4	no	—
206	C₂²⋊C₄	—	8	2	no	—
207	C₂²⋊C₄	—	76	2	no	—
208	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
209	C₄²	C₂×D₇₆	1	1	yes	characteristic
210	C₄²	#64541	1	2	yes	—
211	C₂³	—	2	4	no	—
212	C₂³	—	4	4	no	—
213	C₂³	—	4	4	no	—
214	C₂³	—	4	2	no	—
215	C₂³	—	4	2	no	—
216	C₂³	—	76	1	no	—
217	C₂³	#10597399	1	1	yes	characteristic
218	Q₈	—	76	2	no	—
219	D₄	—	4	4	no	—
220	D₄	—	8	2	no	—
221	D₄	—	8	4	no	—
222	D₄	—	8	4	no	—
223	D₄	—	76	2	no	—
224	D₄	—	152	2	no	—
225	D₄	—	152	2	no	—
226	C₂×C₄	—	2	2	no	—
227	C₂×C₄	—	4	2	no	—
228	C₂×C₄	—	4	8	no	—
229	C₂×C₄	—	4	4	no	—
230	C₂×C₄	—	8	8	no	—
231	C₂×C₄	—	76	1	no	—
232	C₂×C₄	—	152	1	no	—
233	C₂×C₄	—	152	1	no	—
234	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
235	C₂×C₄	C₄×C₂²⋊D₁₉	1	2	yes	—
236	C₂×C₄	#10597375	1	1	yes	characteristic
237	C₂×C₄	#10597376	1	2	yes	—
238	C₈	—	38	4	no	—
239	C₈	—	152	2	no	—
240	C₂²	—	2	2	no	—
241	C₂²	—	4	8	no	—
242	C₂²	—	4	4	no	—
243	C₂²	—	8	2	no	—
244	C₂²	—	8	2	no	—
245	C₂²	—	8	4	no	—
246	C₂²	—	152	2	no	—
247	C₂²	—	152	1	no	—
248	C₂²	#11926423	1	1	yes	characteristic
249	C₂²	#11926712	1	2	yes	—
250	C₄	—	2	2	no	—
251	C₄	—	2	2	no	—
252	C₄	—	2	1	no	—
253	C₄	—	2	1	no	—
254	C₄	—	8	4	no	—
255	C₄	—	152	1	no	—
256	C₂	—	2	2	no	—
257	C₂	—	8	4	no	—
258	C₂	—	304	1	no	—
259	C₂	#14564033	1	1	yes	characteristic
260	C₂	#14564122	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#14574085

C₂

yes

maximal, characteristic

#14562349

C₂

yes

maximal, characteristic, complemented

#14562181

C₂

yes

maximal, complemented

#14561499

C₂

yes

maximal, complemented

C₁₉×#2380

C₂

yes

maximal, characteristic, complemented

C₂×#10597378

—

#11927094

C₂²

yes

characteristic

#11926931

—

#11926920

C₄

yes

complemented

#11926916

C₄

yes

complemented

#11926601

C₂²

yes

—

C₄×#64520

C₂²

yes

characteristic

#11926288

—

#11926277

—

C₂×C₁₉×#127

C₂²

yes

characteristic

C₁₉×#386

—

C₁₉×#386

—

C₁₉×#383

C₂²

yes

—

C₂²×D₄×C₁₉

—

C₂²×D₄×C₁₉

D₄

yes

—

C₂³×C₄×C₁₉

—

C₂×#64541

—

C₁₉×#127

—

C₁₉×#127

C₂×C₄

yes

—

C₁₉×#127

D₄

yes

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₂²⋊C₄×C₁₉

—

C₂×C₄²×C₁₉

C₂³

yes

—

—

—

—

—

—

—

C₂×C₄

yes

characteristic, complemented

C₄×D₇₆

—

#10597315

C₂×C₄

yes

characteristic, complemented

C₁₉×#95

—

C₁₉×#95

—

C₁₉×#95

D₄

yes

—

C₂²⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

#10597260

—

#10597260

—

C₄×C₁₉⋊C₈

C₂×C₄

yes

complemented

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

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂×C₂²⋊D₁₉

—

#64541

—

#64541

—

C₂×D₇₆

—

C₂×D₇₆

—

C₂×C₄×D₁₉

—

C₂×Dic₃₈

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

C₂²×C₄

yes

characteristic

C₄²×C₁₉

C₂×D₄

yes

characteristic

C₄²×C₁₉

#41

yes

—

#64526

—

#64525

—

(C₂×D₁₉)⋊C₄

—

C₄⋊Dic₁₉

—

#64520

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

#9428

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

—

C₂³×C₁₉

#120

yes

characteristic

C₂²×D₁₉

—

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

#121

yes

—

100

C₂×C₄×C₁₉

#123

yes

characteristic

101

C₂²⋊D₁₉

—

102

C₂×Dic₁₉

—

103

D₇₆

—

104

D₇₆

—

105

C₄×D₁₉

—

106

C₄×D₁₉

—

107

Dic₃₈

—

108

C₁₉⋊C₈

—

109

C₁₉⋊C₈

—

110

#3151

—

111

#2380

D₁₉

yes

characteristic, complemented

112

#1555

—

113

#1514

—

114

#1288

—

115

C₂²×C₁₉

—

116

C₂²×C₁₉

—

117

C₂²×C₁₉

—

118

C₂²×C₁₉

—

119

C₂²×C₁₉

—

120

C₂²×C₁₉

—

121

C₂²×C₁₉

#386

yes

characteristic

122

C₂²×C₁₉

#453

yes

—

123

C₂×D₁₉

—

124

C₂×D₁₉

—

125

C₄×C₁₉

—

126

C₄×C₁₉

—

127

C₄×C₁₉

—

128

C₄×C₁₉

—

129

C₄×C₁₉

—

130

Dic₁₉

—

131

C₂×AGL(1,ℤ/8)

—

132

#532

—

133

C₂×#127

C₂×D₁₉

yes

characteristic

134

#496

—

135

#493

—

136

#492

—

137

#432

—

138

C₄×M₁₆

—

139

#386

—

140

#386

—

141

#383

C₂×D₁₉

yes

—

142

#331

—

143

#327

—

144

C₂×C₁₉

—

145

C₂×C₁₉

—

146

C₂×C₁₉

#1887

yes

characteristic

147

C₂×C₁₉

#1904

yes

—

148

D₁₉

—

149

C₂×#41

—

150

C₂²×D₄

—

151

C₂²×D₄

C₂²⋊D₁₉

yes

—

152

C₂³×C₄

—

153

AGL(1,ℤ/8)

—

154

AGL(1,ℤ/8)

—

155

C₂×SD₁₆

—

156

C₂×D₈

—

157

C₂×M₁₆

—

158

C₄⋊Q₈

—

159

#127

—

160

#127

—

161

#127

C₄×D₁₉

yes

—

162

#127

D₇₆

yes

—

163

#124

—

164

#121

—

165

C₄×D₄

—

166

C₂×C₂²⋊C₄

—

167

C₂×C₂²⋊C₄

—

168

C₂×C₄²

C₂²×D₁₉

yes

characteristic

169

C₄⋊C₈

—

170

C₂²⋊C₈

—

171

#97

—

172

#97

—

173

C₄×C₈

—

174

#95

—

175

#95

—

176

#95

C₂²⋊D₁₉

yes

—

177

C₁₉

#9428

yes

characteristic, complemented, Sylow

178

C₂⁴

—

179

#41

—

180

#41

—

181

C₂×Q₈

—

182

C₂×D₄

—

183

C₂×D₄

—

184

C₂×D₄

—

185

C₂×D₄

—

186

C₂×D₄

—

187

C₂×D₄

—

188

C₂×D₄

—

189

C₂×D₄

—

190

C₂×D₄

—

191

C₂×D₄

—

192

C₂×D₄

(C₂×D₁₉)⋊C₄

yes

—

193

C₂²×C₄

—

194

C₂²×C₄

—

195

C₂²×C₄

—

196

C₂²×C₄

—

197

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

198

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

—

199

SD₁₆

—

200

D₈

—

201

M₁₆

—

202

C₂×C₈

—

203

C₂×C₈

—

204

C₄⋊C₄

—

205

C₂²⋊C₄

—

206

C₂²⋊C₄

—

207

C₂²⋊C₄

—

208

C₄²

C₂×C₄×D₁₉

yes

characteristic

209

C₄²

C₂×D₇₆

yes

characteristic

210

C₄²

#64541

yes

—

211

C₂³

—

212

C₂³

—

213

C₂³

—

214

C₂³

—

215

C₂³

—

216

C₂³

—

217

C₂³

#10597399

yes

characteristic

218

Q₈

—

219

D₄

—

220

D₄

—

221

D₄

—

222

D₄

—

223

D₄

—

224

D₄

—

152

—

225

D₄

—

152

—

226

C₂×C₄

—

227

C₂×C₄

—

228

C₂×C₄

—

229

C₂×C₄

—

230

C₂×C₄

—

231

C₂×C₄

—

232

C₂×C₄

—

152

—

233

C₂×C₄

—

152

—

234

C₂×C₄

C₂×(C₂×D₁₉)⋊C₄

yes

characteristic

235

C₂×C₄

C₄×C₂²⋊D₁₉

yes

—

236

C₂×C₄

#10597375

yes

characteristic

237

C₂×C₄

#10597376

yes

—

238

C₈

—

239

C₈

—

152

—

240

C₂²

—

241

C₂²

—

242

C₂²

—

243

C₂²

—

244

C₂²

—

245

C₂²

—

246

C₂²

—

152

—

247

C₂²

—

152

—

248

C₂²

#11926423

yes

characteristic

249

C₂²

#11926712

yes

—

250

C₄

—

251

C₄

—

252

C₄

—

253

C₄

—

254

C₄

—

255

C₄

—

152

—

256

C₂

—

257

C₂

—

258

C₂

—

304

—

259

C₂

#14564033

yes

characteristic

260

C₂

#14564122

yes

—

	subgroup	G/H
center	C₂²	#11926423
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#2380	C₂
socle	C₂²×C₁₉	#386
prime radical	#14574085	C₂
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#2380	D₁₉
hypocenter	C₁₉	#9428
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2380

subgroup

G/H

center

C₂²

#11926423

commutator

C₄²×C₁₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#2380

C₂

C₂²×C₁₉

C₂

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2380

N	H ≅ G/N	type
2. #14562349	C₂	semidirect
3. #14562181	C₂	semidirect
4. #14561499	C₂	semidirect
5. C₁₉×#2380	C₂	semidirect
9. #11926920	C₄	semidirect
10. #11926916	C₄	semidirect
36. #10597320	C₂×C₄	semidirect
38. #10597315	C₂×C₄	semidirect
46. C₄×C₁₉⋊C₈	C₂×C₄	semidirect
111. #2380	D₁₉	semidirect
177. C₁₉	#9428	semidirect

H ≅ G/N

type

2. #14562349

C₂

semidirect

3. #14562181

C₂

semidirect

4. #14561499

C₂

semidirect

5. C₁₉×#2380

C₂

semidirect

9. #11926920

C₄

semidirect

10. #11926916

C₄

semidirect

36. #10597320

C₂×C₄

semidirect

38. #10597315

C₂×C₄

semidirect

46. C₄×C₁₉⋊C₈

C₂×C₄

semidirect

111. #2380

D₁₉

semidirect

177. C₁₉

#9428

semidirect

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

subgroup	index
#14574085	2
#14562349	2
#14562181	2
#14561499	2
C₁₉×#2380	2
#9428	19

subgroup

index

C₁₉×#2380

Subgroups — #18080093

Conjugacy classes of subgroups

Complements

Maximal subgroups