Group #18084819 — subgroups

Subgroups — #18084819

Order 4864.

574 conjugacy classes of subgroups; only the 105 normal subgroups are shown.

normal subgroups only

This group has 574 conjugacy classes of subgroups — too many to draw. Only its 105 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	#14574753	C₂	1	2	yes	maximal, complemented
2	#14564455	C₂	1	1	yes	maximal, characteristic, complemented
3	#14562195	C₂	1	2	yes	maximal, complemented
4	#14561480	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3150	C₂	1	1	yes	maximal, characteristic
6	C₂×#10597315	C₂²	1	1	yes	characteristic
7	#11926947	—	2	2	no	—
8	#11926890	—	2	2	no	—
9	#11926855	—	2	4	no	—
10	#11926824	—	2	4	no	—
11	#11926597	C₂²	1	2	yes	—
12	C₂×#10597273	—	2	2	no	—
13	#11926410	C₂²	1	1	yes	characteristic
14	#11926278	—	2	4	no	—
15	C₂×C₁₉×#135	—	2	2	no	—
16	C₁₉×#532	C₂²	1	2	yes	—
17	C₁₉×#497	—	2	2	no	—
18	C₁₉×#496	—	2	2	no	—
19	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
20	C₂×#41×C₁₉	—	2	2	no	—
21	C₂²×Dic₃₈	—	2	1	no	—
22	C₁₉×#135	—	4	4	no	—
23	C₁₉×#135	—	4	4	no	—
24	C₂×Q₁₆×C₁₉	—	2	2	no	—
25	C₂×SD₁₆×C₁₉	—	2	4	no	—
26	C₂×D₈×C₁₉	—	2	2	no	—
27	C₂²×C₈×C₁₉	D₄	1	2	yes	—
28	C₁₉×C₄⋊Q₈	D₄	1	2	yes	—
29	C₁₉×#127	D₄	1	2	yes	—
30	C₁₉×#124	—	2	2	no	—
31	C₁₉×#121	—	2	2	no	—
32	C₁₉×#121	—	2	2	no	—
33	C₄×D₄×C₁₉	—	2	2	no	—
34	C₄×D₄×C₁₉	—	2	2	no	—
35	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
36	C₂×C₄⋊Dic₁₉	—	2	2	no	—
37	C₂×C₄⋊Dic₁₉	—	2	1	no	—
38	#10597315	—	2	2	no	—
39	#10597315	—	2	1	no	—
40	#10597315	D₄	1	2	yes	—
41	C₁₉×#97	—	2	2	no	—
42	#10597289	—	2	8	no	—
43	C₁₉⋊#95	—	2	2	no	—
44	C₂²⋊(C₁₉⋊C₈)	D₄	1	4	yes	—
45	#10597273	—	4	4	no	—
46	#10597264	—	2	8	no	—
47	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
48	C₄×C₁₉⋊C₈	—	2	2	no	—
49	#41×C₁₉	—	4	4	no	—
50	#41×C₁₉	—	4	4	no	—
51	C₂×Q₈×C₁₉	—	2	2	no	—
52	C₂×D₄×C₁₉	—	2	2	no	—
53	C₂×D₄×C₁₉	—	2	2	no	—
54	C₂×D₄×C₁₉	—	2	2	no	—
55	C₂×D₄×C₁₉	—	4	2	no	—
56	C₂²×C₄×C₁₉	—	4	2	no	—
57	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
58	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
59	C₂²×Dic₁₉	—	4	1	no	—
60	C₂²×Dic₁₉	—	4	1	no	—
61	C₂×Dic₃₈	—	2	2	no	—
62	C₂×Dic₃₈	—	4	2	no	—
63	C₂×Dic₃₈	—	4	2	no	—
64	C₂×Dic₃₈	—	4	1	no	—
65	Q₁₆×C₁₉	—	4	4	no	—
66	SD₁₆×C₁₉	—	4	8	no	—
67	D₈×C₁₉	—	4	4	no	—
68	C₂×C₈×C₁₉	—	2	2	no	—
69	C₂×C₈×C₁₉	—	2	2	no	—
70	C₂×C₈×C₁₉	D₈	1	4	yes	—
71	C₄⋊C₄×C₁₉	—	2	2	no	—
72	C₄⋊C₄×C₁₉	—	2	2	no	—
73	C₂²⋊C₄×C₁₉	—	4	2	no	—
74	C₂²⋊C₄×C₁₉	—	4	2	no	—
75	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
76	C₄²×C₁₉	C₂×D₄	1	2	yes	—
77	C₄²×C₁₉	#41	1	1	yes	characteristic
78	C₄⋊Dic₁₉	—	2	4	no	—
79	C₄⋊Dic₁₉	—	4	2	no	—
80	C₄⋊Dic₁₉	—	4	2	no	—
81	C₂×C₁₉⋊C₈	—	2	4	no	—
82	#10225	—	19	1	no	maximal, Sylow
83	C₂³×C₁₉	—	4	2	no	—
84	C₂³×C₁₉	#127	1	1	yes	characteristic
85	Q₈×C₁₉	—	4	4	no	—
86	D₄×C₁₉	—	4	4	no	—
87	D₄×C₁₉	—	4	4	no	—
88	D₄×C₁₉	—	8	2	no	—
89	D₄×C₁₉	—	8	2	no	—
90	D₄×C₁₉	—	8	2	no	—
91	C₂×C₄×C₁₉	—	4	2	no	—
92	C₂×C₄×C₁₉	—	4	2	no	—
93	C₂×C₄×C₁₉	—	8	4	no	—
94	C₂×C₄×C₁₉	#120	1	2	yes	—
95	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
96	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
97	C₂×C₄×C₁₉	#121	1	2	yes	—
98	C₂×C₄×C₁₉	C₂×D₈	1	2	yes	—
99	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
100	C₂×Dic₁₉	—	4	2	no	—
101	C₂×Dic₁₉	—	8	1	no	—
102	C₂×Dic₁₉	—	8	1	no	—
103	C₂×Dic₁₉	—	8	2	no	—
104	C₂×Dic₁₉	—	8	1	no	—
105	Dic₃₈	—	4	4	no	—
106	Dic₃₈	—	8	2	no	—
107	C₈×C₁₉	—	2	4	no	—
108	C₁₉⋊C₈	—	4	4	no	—
109	#3226	—	19	2	no	—
110	#3150	D₁₉	1	1	yes	characteristic
111	#1960	—	19	1	no	—
112	#1517	—	19	2	no	—
113	#1281	—	19	1	no	—
114	C₂²×C₁₉	—	2	2	no	—
115	C₂²×C₁₉	—	8	2	no	—
116	C₂²×C₁₉	—	8	2	no	—
117	C₂²×C₁₉	—	8	2	no	—
118	C₂²×C₁₉	#392	1	1	yes	characteristic
119	C₂²×C₁₉	#493	1	1	yes	characteristic
120	C₂²×C₁₉	#496	1	1	yes	characteristic
121	C₄×C₁₉	—	2	2	no	—
122	C₄×C₁₉	—	2	2	no	—
123	C₄×C₁₉	—	8	2	no	—
124	C₄×C₁₉	#447	1	2	yes	—
125	C₄×C₁₉	#459	1	2	yes	—
126	Dic₁₉	—	8	2	no	—
127	Dic₁₉	—	16	1	no	—
128	C₂×#135	—	2	2	no	—
129	#532	C₂×D₁₉	1	2	yes	—
130	C₂×C₄⋊Q₈	—	19	1	no	—
131	#500	—	38	2	no	—
132	#497	—	2	2	no	—
133	#496	—	2	2	no	—
134	#486	—	38	2	no	—
135	#480	—	38	4	no	—
136	#474	—	38	4	no	—
137	#431	—	19	2	no	—
138	C₂×#103	—	38	2	no	—
139	C₂×#97	C₂×D₁₉	1	1	yes	characteristic
140	#382	—	19	1	no	—
141	#327	—	38	4	no	—
142	C₂×C₁₉	—	2	1	no	—
143	C₂×C₁₉	—	2	1	no	—
144	C₂×C₁₉	—	16	2	no	—
145	C₂×C₁₉	#2009	1	2	yes	—
146	C₂×C₁₉	#2011	1	1	yes	characteristic
147	C₂×#41	—	2	2	no	—
148	C₂²×Q₈	—	38	1	no	—
149	#135	—	4	4	no	—
150	#135	—	4	4	no	—
151	C₂×Q₁₆	—	2	2	no	—
152	C₂×SD₁₆	—	2	4	no	—
153	C₂×D₈	—	2	2	no	—
154	C₂²×C₈	C₂²⋊D₁₉	1	2	yes	—
155	C₄⋊Q₈	—	19	2	no	—
156	C₄⋊Q₈	—	38	1	no	—
157	C₄⋊Q₈	—	38	2	no	—
158	C₄⋊Q₈	C₂²⋊D₁₉	1	2	yes	—
159	#127	C₂²⋊D₁₉	1	2	yes	—
160	#124	—	2	2	no	—
161	#121	—	2	2	no	—
162	#121	—	2	2	no	—
163	C₄×D₄	—	2	2	no	—
164	C₄×D₄	—	2	2	no	—
165	C₂×C₄⋊C₄	—	38	2	no	—
166	C₂×C₄⋊C₄	—	38	1	no	—
167	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
168	#107	—	38	8	no	—
169	C₄⋊C₈	—	38	2	no	—
170	#103	—	76	4	no	—
171	#102	—	38	8	no	—
172	C₂²⋊C₈	—	19	4	no	—
173	#97	—	2	2	no	—
174	C₄×C₈	—	38	2	no	—
175	#95	—	38	2	no	—
176	C₁₉	#10225	1	1	yes	characteristic, complemented, Sylow
177	#41	—	4	4	no	—
178	#41	—	4	4	no	—
179	C₂×Q₈	—	2	2	no	—
180	C₂×Q₈	—	38	2	no	—
181	C₂×Q₈	—	76	1	no	—
182	C₂×Q₈	—	76	2	no	—
183	C₂×Q₈	—	76	2	no	—
184	C₂×D₄	—	2	2	no	—
185	C₂×D₄	—	2	2	no	—
186	C₂×D₄	—	2	2	no	—
187	C₂×D₄	—	4	2	no	—
188	C₂²×C₄	—	4	2	no	—
189	C₂²×C₄	—	76	1	no	—
190	C₂²×C₄	—	76	1	no	—
191	C₂²×C₄	D₄×D₁₉	1	2	yes	—
192	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
193	Q₁₆	—	4	4	no	—
194	SD₁₆	—	4	8	no	—
195	D₈	—	4	4	no	—
196	C₂×C₈	—	2	2	no	—
197	C₂×C₈	—	2	2	no	—
198	C₂×C₈	—	38	4	no	—
199	C₂×C₈	#64525	1	4	yes	—
200	C₄⋊C₄	—	2	2	no	—
201	C₄⋊C₄	—	2	2	no	—
202	C₄⋊C₄	—	38	4	no	—
203	C₄⋊C₄	—	76	2	no	—
204	C₄⋊C₄	—	76	2	no	—
205	C₂²⋊C₄	—	4	2	no	—
206	C₂²⋊C₄	—	4	2	no	—
207	C₄²	D₄×D₁₉	1	1	yes	characteristic
208	C₄²	#64543	1	1	yes	characteristic
209	C₄²	C₂×C₂²⋊D₁₉	1	2	yes	—
210	C₂³	—	4	2	no	—
211	C₂³	#10597386	1	1	yes	characteristic
212	Q₈	—	4	4	no	—
213	Q₈	—	76	4	no	—
214	Q₈	—	152	2	no	—
215	D₄	—	4	4	no	—
216	D₄	—	4	4	no	—
217	D₄	—	8	2	no	—
218	D₄	—	8	2	no	—
219	D₄	—	8	2	no	—
220	C₂×C₄	—	4	2	no	—
221	C₂×C₄	—	4	2	no	—
222	C₂×C₄	—	8	4	no	—
223	C₂×C₄	—	76	2	no	—
224	C₂×C₄	—	152	2	no	—
225	C₂×C₄	—	152	1	no	—
226	C₂×C₄	—	152	1	no	—
227	C₂×C₄	—	152	1	no	—
228	C₂×C₄	C₂×#64525	1	2	yes	—
229	C₂×C₄	#10597378	1	2	yes	—
230	C₂×C₄	#10597383	1	2	yes	—
231	C₂×C₄	#10597384	1	1	yes	characteristic
232	C₂×C₄	#10597385	1	2	yes	—
233	C₂×C₄	#10597399	1	1	yes	characteristic
234	C₈	—	2	4	no	—
235	C₈	—	76	4	no	—
236	C₂²	—	2	2	no	—
237	C₂²	—	8	2	no	—
238	C₂²	—	8	2	no	—
239	C₂²	—	8	2	no	—
240	C₂²	#11926452	1	1	yes	characteristic
241	C₂²	#11926920	1	1	yes	characteristic
242	C₂²	#11926931	1	1	yes	characteristic
243	C₄	—	2	2	no	—
244	C₄	—	2	2	no	—
245	C₄	—	8	2	no	—
246	C₄	—	304	1	no	—
247	C₄	—	152	2	no	—
248	C₄	#11926678	1	2	yes	—
249	C₄	#11926736	1	2	yes	—
250	C₂	—	2	1	no	—
251	C₂	—	2	1	no	—
252	C₂	—	16	2	no	—
253	C₂	#14564692	1	2	yes	—
254	C₂	#14564706	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14574753

C₂

yes

maximal, complemented

#14564455

C₂

yes

maximal, characteristic, complemented

#14562195

C₂

yes

maximal, complemented

#14561480

C₂

yes

maximal, characteristic, complemented

C₁₉×#3150

C₂

yes

maximal, characteristic

C₂×#10597315

C₂²

yes

—

—

—

—

C₂²

yes

—

C₂×#10597273

—

#11926410

C₂²

yes

characteristic

#11926278

—

C₂×C₁₉×#135

—

C₁₉×#532

C₂²

yes

—

C₁₉×#497

—

C₁₉×#496

—

C₂×C₁₉×#97

C₂²

yes

characteristic

C₂×#41×C₁₉

—

C₂²×Dic₃₈

—

C₁₉×#135

—

C₁₉×#135

—

C₂×Q₁₆×C₁₉

—

C₂×SD₁₆×C₁₉

—

C₂×D₈×C₁₉

—

C₂²×C₈×C₁₉

D₄

yes

—

C₁₉×C₄⋊Q₈

D₄

yes

—

C₁₉×#127

D₄

yes

—

C₁₉×#124

—

C₁₉×#121

—

C₁₉×#121

—

C₄×D₄×C₁₉

—

C₄×D₄×C₁₉

—

C₂×C₄²×C₁₉

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₉

—

C₂×C₄⋊Dic₁₉

—

#10597315

—

#10597315

—

#10597315

D₄

yes

—

C₁₉×#97

—

#10597289

—

C₁₉⋊#95

—

C₂²⋊(C₁₉⋊C₈)

D₄

yes

—

#10597273

—

#10597264

—

C₄⋊(C₁₉⋊C₈)

—

C₄×C₁₉⋊C₈

—

#41×C₁₉

—

#41×C₁₉

—

C₂×Q₈×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×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

C₂×Dic₃₈

—

Q₁₆×C₁₉

—

SD₁₆×C₁₉

—

D₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

—

C₂×C₈×C₁₉

D₈

yes

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₂²⋊C₄×C₁₉

—

C₄²×C₁₉

C₂×D₄

yes

characteristic

C₄²×C₁₉

C₂×D₄

yes

—

C₄²×C₁₉

#41

yes

characteristic

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₄⋊Dic₁₉

—

C₂×C₁₉⋊C₈

—

#10225

—

maximal, Sylow

C₂³×C₁₉

—

C₂³×C₁₉

#127

yes

characteristic

Q₈×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

D₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

—

C₂×C₄×C₁₉

#120

yes

—

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

—

C₂×C₄×C₁₉

C₂×D₈

yes

—

C₂×C₄×C₁₉

AGL(1,ℤ/8)

yes

—

100

C₂×Dic₁₉

—

101

C₂×Dic₁₉

—

102

C₂×Dic₁₉

—

103

C₂×Dic₁₉

—

104

C₂×Dic₁₉

—

105

Dic₃₈

—

106

Dic₃₈

—

107

C₈×C₁₉

—

108

C₁₉⋊C₈

—

109

#3226

—

110

#3150

D₁₉

yes

characteristic

111

#1960

—

112

#1517

—

113

#1281

—

114

C₂²×C₁₉

—

115

C₂²×C₁₉

—

116

C₂²×C₁₉

—

117

C₂²×C₁₉

—

118

C₂²×C₁₉

#392

yes

characteristic

119

C₂²×C₁₉

#493

yes

characteristic

120

C₂²×C₁₉

#496

yes

characteristic

121

C₄×C₁₉

—

122

C₄×C₁₉

—

123

C₄×C₁₉

—

124

C₄×C₁₉

#447

yes

—

125

C₄×C₁₉

#459

yes

—

126

Dic₁₉

—

127

Dic₁₉

—

128

C₂×#135

—

129

#532

C₂×D₁₉

yes

—

130

C₂×C₄⋊Q₈

—

131

#500

—

132

#497

—

133

#496

—

134

#486

—

135

#480

—

136

#474

—

137

#431

—

138

C₂×#103

—

139

C₂×#97

C₂×D₁₉

yes

characteristic

140

#382

—

141

#327

—

142

C₂×C₁₉

—

143

C₂×C₁₉

—

144

C₂×C₁₉

—

145

C₂×C₁₉

#2009

yes

—

146

C₂×C₁₉

#2011

yes

characteristic

147

C₂×#41

—

148

C₂²×Q₈

—

149

#135

—

150

#135

—

151

C₂×Q₁₆

—

152

C₂×SD₁₆

—

153

C₂×D₈

—

154

C₂²×C₈

C₂²⋊D₁₉

yes

—

155

C₄⋊Q₈

—

156

C₄⋊Q₈

—

157

C₄⋊Q₈

—

158

C₄⋊Q₈

C₂²⋊D₁₉

yes

—

159

#127

C₂²⋊D₁₉

yes

—

160

#124

—

161

#121

—

162

#121

—

163

C₄×D₄

—

164

C₄×D₄

—

165

C₂×C₄⋊C₄

—

166

C₂×C₄⋊C₄

—

167

C₂×C₄²

C₂²×D₁₉

yes

characteristic

168

#107

—

169

C₄⋊C₈

—

170

#103

—

171

#102

—

172

C₂²⋊C₈

—

173

#97

—

174

C₄×C₈

—

175

#95

—

176

C₁₉

#10225

yes

characteristic, complemented, Sylow

177

#41

—

178

#41

—

179

C₂×Q₈

—

180

C₂×Q₈

—

181

C₂×Q₈

—

182

C₂×Q₈

—

183

C₂×Q₈

—

184

C₂×D₄

—

185

C₂×D₄

—

186

C₂×D₄

—

187

C₂×D₄

—

188

C₂²×C₄

—

189

C₂²×C₄

—

190

C₂²×C₄

—

191

C₂²×C₄

D₄×D₁₉

yes

—

192

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

193

Q₁₆

—

194

SD₁₆

—

195

D₈

—

196

C₂×C₈

—

197

C₂×C₈

—

198

C₂×C₈

—

199

C₂×C₈

#64525

yes

—

200

C₄⋊C₄

—

201

C₄⋊C₄

—

202

C₄⋊C₄

—

203

C₄⋊C₄

—

204

C₄⋊C₄

—

205

C₂²⋊C₄

—

206

C₂²⋊C₄

—

207

C₄²

D₄×D₁₉

yes

characteristic

208

C₄²

#64543

yes

characteristic

209

C₄²

C₂×C₂²⋊D₁₉

yes

—

210

C₂³

—

211

C₂³

#10597386

yes

characteristic

212

Q₈

—

213

Q₈

—

214

Q₈

—

152

—

215

D₄

—

216

D₄

—

217

D₄

—

218

D₄

—

219

D₄

—

220

C₂×C₄

—

221

C₂×C₄

—

222

C₂×C₄

—

223

C₂×C₄

—

224

C₂×C₄

—

152

—

225

C₂×C₄

—

152

—

226

C₂×C₄

—

152

—

227

C₂×C₄

—

152

—

228

C₂×C₄

C₂×#64525

yes

—

229

C₂×C₄

#10597378

yes

—

230

C₂×C₄

#10597383

yes

—

231

C₂×C₄

#10597384

yes

characteristic

232

C₂×C₄

#10597385

yes

—

233

C₂×C₄

#10597399

yes

characteristic

234

C₈

—

235

C₈

—

236

C₂²

—

237

C₂²

—

238

C₂²

—

239

C₂²

—

240

C₂²

#11926452

yes

characteristic

241

C₂²

#11926920

yes

characteristic

242

C₂²

#11926931

yes

characteristic

243

C₄

—

244

C₄

—

245

C₄

—

246

C₄

—

304

—

247

C₄

—

152

—

248

C₄

#11926678

yes

—

249

C₄

#11926736

yes

—

250

C₂

—

251

C₂

—

252

C₂

—

253

C₂

#14564692

yes

—

254

C₂

#14564706

yes

characteristic

	subgroup	G/H
center	C₂²	#11926452
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting, prime radical	C₁₉×#3150	C₂
socle	C₂²×C₁₉	#392
hypercenter	#3150	D₁₉
hypocenter	C₁₉	#10225
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3150

subgroup

G/H

center

C₂²

#11926452

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting, prime radical

C₁₉×#3150

C₂

C₂²×C₁₉

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3150

N	H ≅ G/N	type
1. #14574753	C₂	semidirect
2. #14564455	C₂	semidirect
3. #14562195	C₂	semidirect
4. #14561480	C₂	semidirect
176. C₁₉	#10225	semidirect

H ≅ G/N

type

1. #14574753

C₂

semidirect

2. #14564455

C₂

semidirect

3. #14562195

C₂

semidirect

4. #14561480

C₂

semidirect

176. C₁₉

#10225

semidirect

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

subgroup	index
#14574753	2
#14564455	2
#14562195	2
#14561480	2
C₁₉×#3150	2
#10225	19

subgroup

index

C₁₉×#3150

Subgroups — #18084819

Conjugacy classes of subgroups

Complements

Maximal subgroups