Group #18077496 — subgroups

Subgroups — #18077496

Order 4864.

502 conjugacy classes of subgroups; only the 95 normal subgroups are shown.

normal subgroups only

This group has 502 conjugacy classes of subgroups — too many to draw. Only its 95 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	#14574080	C₂	1	1	yes	maximal, characteristic
2	#14572706	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562105	C₂	1	2	yes	maximal, complemented
4	#14561535	C₂	1	2	yes	maximal, complemented
5	C₁₉×#1543	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10597396	—	2	2	no	—
7	#11927094	C₂²	1	1	yes	characteristic
8	#11926939	C₄	1	2	yes	—
9	#11926936	—	2	1	no	—
10	#11926934	C₄	1	2	yes	—
11	#11926931	—	2	1	no	—
12	#11926616	—	2	4	no	—
13	#11926601	C₂²	1	2	yes	—
14	#11926511	—	2	2	no	—
15	C₂×#10597260	C₂²	1	1	yes	characteristic
16	#11926273	—	2	4	no	—
17	C₁₉×#532	C₂²	1	1	yes	characteristic
18	C₁₉×#431	C₂²	1	2	yes	—
19	C₁₉×#333	—	2	1	no	—
20	C₁₉×#331	—	2	1	no	—
21	C₂×#41×C₁₉	D₄	1	2	yes	—
22	C₂×#64541	—	2	1	no	—
23	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
24	C₁₉×#127	D₄	1	1	yes	characteristic
25	C₁₉×#124	C₂×C₄	1	2	yes	—
26	C₁₉×#121	—	2	2	no	—
27	C₄×D₄×C₁₉	—	2	2	no	—
28	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
29	#10597396	—	4	4	no	—
30	#10597396	—	4	4	no	—
31	C₂×#64528	—	2	2	no	—
32	C₂×#64527	—	2	2	no	—
33	C₂×#64526	—	2	2	no	—
34	C₂×#64525	—	2	2	no	—
35	#10597376	—	2	2	no	—
36	C₂×#64520	—	2	2	no	—
37	C₂²×C₁₉⋊C₈	—	2	1	no	—
38	C₂²×C₁₉⋊C₈	—	2	2	no	—
39	#10597321	—	2	1	no	—
40	#10597320	C₂×C₄	1	1	yes	characteristic
41	C₄×D₇₆	—	2	2	no	—
42	#10597315	C₂×C₄	1	1	yes	characteristic
43	C₁₉×C₄⋊C₈	—	2	2	no	—
44	C₁₉×C₂²⋊C₈	—	2	2	no	—
45	C₄×C₈×C₁₉	—	2	2	no	—
46	C₂²⋊(C₁₉⋊C₈)	—	2	4	no	—
47	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
48	C₄⋊(C₁₉⋊C₈)	D₄	1	4	yes	—
49	#10597260	—	2	2	no	—
50	#10597260	—	2	1	no	—
51	#10597260	C₂×C₄	1	2	yes	—
52	#41×C₁₉	—	4	2	no	—
53	#41×C₁₉	—	4	2	no	—
54	C₂×Q₈×C₁₉	C₂²⋊C₄	1	2	yes	—
55	C₂×D₄×C₁₉	—	2	2	no	—
56	C₂×D₄×C₁₉	—	2	2	no	—
57	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
58	C₂²×C₄×C₁₉	—	2	2	no	—
59	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
60	C₂²×C₄×C₁₉	#41	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	C₂×C₈×C₁₉	—	4	2	no	—
69	C₄⋊C₄×C₁₉	—	2	2	no	—
70	C₂²⋊C₄×C₁₉	—	2	4	no	—
71	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
72	C₄²×C₁₉	C₂×D₄	1	2	yes	—
73	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
74	#64528	—	4	4	no	—
75	#64527	—	4	4	no	—
76	#64526	—	4	4	no	—
77	#64525	—	4	4	no	—
78	(C₂×D₁₉)⋊C₄	—	4	2	no	—
79	C₄⋊Dic₁₉	—	2	2	no	—
80	#64520	—	8	2	no	—
81	C₂×C₁₉⋊C₈	—	2	4	no	—
82	C₂×C₁₉⋊C₈	—	2	2	no	—
83	C₂×C₁₉⋊C₈	—	2	4	no	—
84	C₂×C₁₉⋊C₈	—	8	2	no	—
85	#9007	—	19	1	no	maximal, Sylow
86	C₂³×C₁₉	—	2	2	no	—
87	C₂³×C₁₉	#123	1	1	yes	characteristic
88	C₂²×D₁₉	—	4	1	no	—
89	Q₈×C₁₉	—	4	2	no	—
90	D₄×C₁₉	—	4	2	no	—
91	D₄×C₁₉	—	8	2	no	—
92	D₄×C₁₉	—	8	2	no	—
93	C₂×C₄×C₁₉	—	2	2	no	—
94	C₂×C₄×C₁₉	—	2	2	no	—
95	C₂×C₄×C₁₉	—	4	2	no	—
96	C₂×C₄×C₁₉	—	4	2	no	—
97	C₂×C₄×C₁₉	—	4	2	no	—
98	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
99	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
100	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
101	C₂×C₄×C₁₉	#121	1	2	yes	—
102	C₂²⋊D₁₉	—	8	1	no	—
103	C₂²⋊D₁₉	—	8	1	no	—
104	C₂×Dic₁₉	—	4	1	no	—
105	D₇₆	—	4	2	no	—
106	D₇₆	—	4	4	no	—
107	C₄×D₁₉	—	8	2	no	—
108	Dic₃₈	—	4	2	no	—
109	C₈×C₁₉	—	8	2	no	—
110	C₁₉⋊C₈	—	2	4	no	—
111	C₁₉⋊C₈	—	4	4	no	—
112	#3150	—	19	1	no	—
113	#2980	—	19	1	no	—
114	#1543	D₁₉	1	1	yes	characteristic, complemented
115	#1496	—	19	2	no	—
116	#1302	—	19	2	no	—
117	C₂²×C₁₉	—	2	2	no	—
118	C₂²×C₁₉	—	2	1	no	—
119	C₂²×C₁₉	—	4	4	no	—
120	C₂²×C₁₉	—	4	2	no	—
121	C₂²×C₁₉	#386	1	1	yes	characteristic
122	C₂×D₁₉	—	8	2	no	—
123	C₂×D₁₉	—	8	1	no	—
124	C₄×C₁₉	—	2	2	no	—
125	C₄×C₁₉	—	2	2	no	—
126	C₄×C₁₉	—	2	1	no	—
127	C₄×C₁₉	—	4	2	no	—
128	C₄×C₁₉	#453	1	2	yes	—
129	Dic₁₉	—	8	1	no	—
130	C₂×#135	—	38	2	no	—
131	#532	—	19	1	no	—
132	#532	C₂×D₁₉	1	1	yes	characteristic
133	#497	—	19	2	no	—
134	#497	—	38	1	no	—
135	#496	—	19	2	no	—
136	#496	—	38	1	no	—
137	#435	—	38	4	no	—
138	#432	—	19	2	no	—
139	#431	C₂×D₁₉	1	2	yes	—
140	#408	—	38	2	no	—
141	C₂×#97	—	19	1	no	—
142	#333	—	2	1	no	—
143	#331	—	2	1	no	—
144	D₄⋊C₈	—	38	4	no	—
145	C₂×C₁₉	—	4	1	no	—
146	C₂×C₁₉	—	8	2	no	—
147	C₂×C₁₉	#1881	1	2	yes	—
148	C₂×C₁₉	#1887	1	1	yes	characteristic
149	D₁₉	—	16	1	no	—
150	C₂×#41	—	38	1	no	—
151	C₂×#41	D₇₆	1	2	yes	—
152	#135	—	76	4	no	—
153	#135	—	76	4	no	—
154	C₂×Q₁₆	—	38	2	no	—
155	C₂×SD₁₆	—	38	2	no	—
156	C₂×SD₁₆	—	38	2	no	—
157	C₂×D₈	—	38	2	no	—
158	C₂×M₁₆	—	38	2	no	—
159	C₂²×C₈	—	38	1	no	—
160	C₂²×C₈	—	38	2	no	—
161	C₄⋊Q₈	—	19	1	no	—
162	C₄⋊Q₈	C₂²⋊D₁₉	1	1	yes	characteristic
163	#127	—	19	1	no	—
164	#127	C₂²⋊D₁₉	1	1	yes	characteristic
165	#124	—	38	1	no	—
166	#124	C₄×D₁₉	1	2	yes	—
167	#121	—	2	2	no	—
168	#121	—	38	2	no	—
169	C₄×D₄	—	2	2	no	—
170	C₄×D₄	—	38	2	no	—
171	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
172	C₄⋊C₈	—	2	2	no	—
173	C₄⋊C₈	—	19	4	no	—
174	C₂²⋊C₈	—	2	2	no	—
175	C₂²⋊C₈	—	38	4	no	—
176	C₂²⋊C₈	—	38	2	no	—
177	#97	—	19	2	no	—
178	#97	—	38	2	no	—
179	#97	—	38	1	no	—
180	C₄×C₈	—	2	2	no	—
181	C₁₉	#9007	1	1	yes	characteristic, complemented, Sylow
182	#41	—	4	2	no	—
183	#41	—	4	2	no	—
184	#41	—	76	2	no	—
185	#41	—	76	2	no	—
186	C₂×Q₈	—	38	1	no	—
187	C₂×Q₈	(C₂×D₁₉)⋊C₄	1	2	yes	—
188	C₂×D₄	—	2	2	no	—
189	C₂×D₄	—	2	2	no	—
190	C₂×D₄	—	38	2	no	—
191	C₂×D₄	—	38	1	no	—
192	C₂×D₄	—	76	1	no	—
193	C₂×D₄	(C₂×D₁₉)⋊C₄	1	2	yes	—
194	C₂²×C₄	—	2	2	no	—
195	C₂²×C₄	—	76	1	no	—
196	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
197	C₂²×C₄	#64543	1	2	yes	—
198	Q₁₆	—	76	4	no	—
199	SD₁₆	—	76	4	no	—
200	SD₁₆	—	76	4	no	—
201	D₈	—	76	4	no	—
202	M₁₆	—	152	2	no	—
203	C₂×C₈	—	4	2	no	—
204	C₂×C₈	—	38	4	no	—
205	C₂×C₈	—	38	2	no	—
206	C₂×C₈	—	38	4	no	—
207	C₂×C₈	—	152	2	no	—
208	C₄⋊C₄	—	2	2	no	—
209	C₄⋊C₄	—	38	2	no	—
210	C₂²⋊C₄	—	2	4	no	—
211	C₂²⋊C₄	—	76	2	no	—
212	C₄²	C₂×C₄×D₁₉	1	1	yes	characteristic
213	C₄²	D₄×D₁₉	1	2	yes	—
214	C₄²	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
215	C₂³	—	2	2	no	—
216	C₂³	—	76	1	no	—
217	C₂³	#10597332	1	1	yes	characteristic
218	Q₈	—	4	2	no	—
219	Q₈	—	76	2	no	—
220	D₄	—	4	2	no	—
221	D₄	—	8	2	no	—
222	D₄	—	8	2	no	—
223	D₄	—	76	2	no	—
224	D₄	—	76	4	no	—
225	D₄	—	152	1	no	—
226	D₄	—	152	1	no	—
227	C₂×C₄	—	2	2	no	—
228	C₂×C₄	—	2	2	no	—
229	C₂×C₄	—	4	2	no	—
230	C₂×C₄	—	4	2	no	—
231	C₂×C₄	—	4	2	no	—
232	C₂×C₄	—	76	1	no	—
233	C₂×C₄	—	152	2	no	—
234	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	2	yes	—
235	C₂×C₄	#10597328	1	1	yes	characteristic
236	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
237	C₂×C₄	#10597385	1	2	yes	—
238	C₈	—	8	2	no	—
239	C₈	—	38	4	no	—
240	C₈	—	76	4	no	—
241	C₂²	—	2	2	no	—
242	C₂²	—	2	1	no	—
243	C₂²	—	4	4	no	—
244	C₂²	—	4	2	no	—
245	C₂²	—	152	2	no	—
246	C₂²	—	152	1	no	—
247	C₂²	#11926421	1	1	yes	characteristic
248	C₄	—	2	2	no	—
249	C₄	—	2	2	no	—
250	C₄	—	2	1	no	—
251	C₄	—	4	2	no	—
252	C₄	—	152	1	no	—
253	C₄	#11926714	1	2	yes	—
254	C₂	—	4	1	no	—
255	C₂	—	8	2	no	—
256	C₂	—	304	1	no	—
257	C₂	#14563995	1	2	yes	—
258	C₂	#14564031	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14574080

C₂

yes

maximal, characteristic

#14572706

C₂

yes

maximal, characteristic, complemented

#14562105

C₂

yes

maximal, complemented

#14561535

C₂

yes

maximal, complemented

C₁₉×#1543

C₂

yes

maximal, characteristic, complemented

C₂×#10597396

—

#11927094

C₂²

yes

characteristic

#11926939

C₄

yes

—

#11926936

—

#11926934

C₄

yes

—

#11926931

—

#11926616

—

#11926601

C₂²

yes

—

#11926511

—

C₂×#10597260

C₂²

yes

characteristic

#11926273

—

C₁₉×#532

C₂²

yes

characteristic

C₁₉×#431

C₂²

yes

—

C₁₉×#333

—

C₁₉×#331

—

C₂×#41×C₁₉

D₄

yes

—

C₂×#64541

—

C₁₉×C₄⋊Q₈

D₄

yes

characteristic

C₁₉×#127

D₄

yes

characteristic

C₁₉×#124

C₂×C₄

yes

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₂×C₄²×C₁₉

C₂³

yes

—

—

—

—

—

—

—

—

C₂²×C₁₉⋊C₈

—

C₂²×C₁₉⋊C₈

—

#10597321

—

#10597320

C₂×C₄

yes

characteristic

C₄×D₇₆

—

#10597315

C₂×C₄

yes

characteristic

C₁₉×C₄⋊C₈

—

C₁₉×C₂²⋊C₈

—

C₄×C₈×C₁₉

—

C₂²⋊(C₁₉⋊C₈)

—

C₂²⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

D₄

yes

—

#10597260

—

#10597260

—

#10597260

C₂×C₄

yes

—

#41×C₁₉

—

#41×C₁₉

—

C₂×Q₈×C₁₉

C₂²⋊C₄

yes

—

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

—

C₂×C₂²⋊D₁₉

—

#64541

—

#64541

—

C₂×D₇₆

—

C₂×D₇₆

—

C₂×C₄×D₁₉

—

C₂×Dic₃₈

—

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

—

—

—

—

(C₂×D₁₉)⋊C₄

—

C₄⋊Dic₁₉

—

#64520

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

#9007

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

#123

yes

characteristic

C₂²×D₁₉

—

Q₈×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

—

100

C₂×C₄×C₁₉

#120

yes

characteristic

101

C₂×C₄×C₁₉

#121

yes

—

102

C₂²⋊D₁₉

—

103

C₂²⋊D₁₉

—

104

C₂×Dic₁₉

—

105

D₇₆

—

106

D₇₆

—

107

C₄×D₁₉

—

108

Dic₃₈

—

109

C₈×C₁₉

—

110

C₁₉⋊C₈

—

111

C₁₉⋊C₈

—

112

#3150

—

113

#2980

—

114

#1543

D₁₉

yes

characteristic, complemented

115

#1496

—

116

#1302

—

117

C₂²×C₁₉

—

118

C₂²×C₁₉

—

119

C₂²×C₁₉

—

120

C₂²×C₁₉

—

121

C₂²×C₁₉

#386

yes

characteristic

122

C₂×D₁₉

—

123

C₂×D₁₉

—

124

C₄×C₁₉

—

125

C₄×C₁₉

—

126

C₄×C₁₉

—

127

C₄×C₁₉

—

128

C₄×C₁₉

#453

yes

—

129

Dic₁₉

—

130

C₂×#135

—

131

#532

—

132

#532

C₂×D₁₉

yes

characteristic

133

#497

—

134

#497

—

135

#496

—

136

#496

—

137

#435

—

138

#432

—

139

#431

C₂×D₁₉

yes

—

140

#408

—

141

C₂×#97

—

142

#333

—

143

#331

—

144

D₄⋊C₈

—

145

C₂×C₁₉

—

146

C₂×C₁₉

—

147

C₂×C₁₉

#1881

yes

—

148

C₂×C₁₉

#1887

yes

characteristic

149

D₁₉

—

150

C₂×#41

—

151

C₂×#41

D₇₆

yes

—

152

#135

—

153

#135

—

154

C₂×Q₁₆

—

155

C₂×SD₁₆

—

156

C₂×SD₁₆

—

157

C₂×D₈

—

158

C₂×M₁₆

—

159

C₂²×C₈

—

160

C₂²×C₈

—

161

C₄⋊Q₈

—

162

C₄⋊Q₈

C₂²⋊D₁₉

yes

characteristic

163

#127

—

164

#127

C₂²⋊D₁₉

yes

characteristic

165

#124

—

166

#124

C₄×D₁₉

yes

—

167

#121

—

168

#121

—

169

C₄×D₄

—

170

C₄×D₄

—

171

C₂×C₄²

C₂²×D₁₉

yes

characteristic

172

C₄⋊C₈

—

173

C₄⋊C₈

—

174

C₂²⋊C₈

—

175

C₂²⋊C₈

—

176

C₂²⋊C₈

—

177

#97

—

178

#97

—

179

#97

—

180

C₄×C₈

—

181

C₁₉

#9007

yes

characteristic, complemented, Sylow

182

#41

—

183

#41

—

184

#41

—

185

#41

—

186

C₂×Q₈

—

187

C₂×Q₈

(C₂×D₁₉)⋊C₄

yes

—

188

C₂×D₄

—

189

C₂×D₄

—

190

C₂×D₄

—

191

C₂×D₄

—

192

C₂×D₄

—

193

C₂×D₄

(C₂×D₁₉)⋊C₄

yes

—

194

C₂²×C₄

—

195

C₂²×C₄

—

196

C₂²×C₄

C₂×D₇₆

yes

characteristic

197

C₂²×C₄

#64543

yes

—

198

Q₁₆

—

199

SD₁₆

—

200

SD₁₆

—

201

D₈

—

202

M₁₆

—

152

—

203

C₂×C₈

—

204

C₂×C₈

—

205

C₂×C₈

—

206

C₂×C₈

—

207

C₂×C₈

—

152

—

208

C₄⋊C₄

—

209

C₄⋊C₄

—

210

C₂²⋊C₄

—

211

C₂²⋊C₄

—

212

C₄²

C₂×C₄×D₁₉

yes

characteristic

213

C₄²

D₄×D₁₉

yes

—

214

C₄²

C₂×C₂²⋊D₁₉

yes

characteristic

215

C₂³

—

216

C₂³

—

217

C₂³

#10597332

yes

characteristic

218

Q₈

—

219

Q₈

—

220

D₄

—

221

D₄

—

222

D₄

—

223

D₄

—

224

D₄

—

225

D₄

—

152

—

226

D₄

—

152

—

227

C₂×C₄

—

228

C₂×C₄

—

229

C₂×C₄

—

230

C₂×C₄

—

231

C₂×C₄

—

232

C₂×C₄

—

233

C₂×C₄

—

152

—

234

C₂×C₄

(C₂²⋊D₁₉)⋊C₄

yes

—

235

C₂×C₄

#10597328

yes

characteristic

236

C₂×C₄

C₂×(C₂×D₁₉)⋊C₄

yes

characteristic

237

C₂×C₄

#10597385

yes

—

238

C₈

—

239

C₈

—

240

C₈

—

241

C₂²

—

242

C₂²

—

243

C₂²

—

244

C₂²

—

245

C₂²

—

152

—

246

C₂²

—

152

—

247

C₂²

#11926421

yes

characteristic

248

C₄

—

249

C₄

—

250

C₄

—

251

C₄

—

252

C₄

—

152

—

253

C₄

#11926714

yes

—

254

C₂

—

255

C₂

—

256

C₂

—

304

—

257

C₂

#14563995

yes

—

258

C₂

#14564031

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#10597328
commutator	C₄²×C₁₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#1543	C₂
socle	C₂²×C₁₉	#386
prime radical	#14574080	C₂
cosocle	C₂×C₄²×C₁₉	C₂³
hypercenter	#1543	D₁₉
hypocenter	C₁₉	#9007
LCS	G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1543

subgroup

G/H

center

C₂×C₄

#10597328

commutator

C₄²×C₁₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#1543

C₂

C₂²×C₁₉

C₂

C₂×C₄²×C₁₉

C₂³

D₁₉

C₁₉

G ▷ C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1543

N	H ≅ G/N	type
2. #14572706	C₂	semidirect
3. #14562105	C₂	semidirect
4. #14561535	C₂	semidirect
5. C₁₉×#1543	C₂	semidirect
114. #1543	D₁₉	semidirect
181. C₁₉	#9007	semidirect

H ≅ G/N

type

2. #14572706

C₂

semidirect

3. #14562105

C₂

semidirect

4. #14561535

C₂

semidirect

5. C₁₉×#1543

C₂

semidirect

114. #1543

D₁₉

semidirect

181. C₁₉

#9007

semidirect

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

subgroup	index
#14574080	2
#14572706	2
#14562105	2
#14561535	2
C₁₉×#1543	2
#9007	19

subgroup

index

C₁₉×#1543

Subgroups — #18077496

Conjugacy classes of subgroups

Complements

Maximal subgroups