Group #18085624 — subgroups

Subgroups — #18085624

Order 4864.

454 conjugacy classes of subgroups; only the 101 normal subgroups are shown.

normal subgroups only

This group has 454 conjugacy classes of subgroups — too many to draw. Only its 101 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	#14564463	C₂	1	1	yes	maximal, characteristic
2	#14562194	C₂	1	2	yes	maximal
3	#14561493	C₂	1	2	yes	maximal, complemented
4	#14561468	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2862	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927094	C₂²	1	1	yes	characteristic
7	#11926597	C₂²	1	2	yes	—
8	#11926568	C₂²	1	1	yes	characteristic
9	C₂×#10597262	—	2	1	no	—
10	C₂×#10597262	—	2	1	no	—
11	#11926277	—	2	4	no	—
12	C₂×C₁₉×C₄⋊Q₈	—	2	1	no	—
13	C₁₉×#391	—	2	4	no	—
14	C₁₉×#382	—	2	1	no	—
15	C₁₉×#382	C₂²	1	2	yes	—
16	C₄³×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×Q₈×C₁₉	—	2	2	no	—
18	C₂×#64541	—	2	1	no	—
19	C₁₉×C₄⋊Q₈	—	4	2	no	—
20	C₁₉×C₄⋊Q₈	—	4	2	no	—
21	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
22	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
23	C₂×C₄²×C₁₉	—	2	2	no	—
24	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
25	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
26	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
27	#10597376	—	2	2	no	—
28	C₂×#64520	—	2	1	no	—
29	#10597321	—	2	1	no	—
30	#10597320	Q₈	1	1	yes	characteristic, complemented
31	C₄×D₇₆	—	2	2	no	—
32	#10597315	Q₈	1	1	yes	characteristic, complemented
33	C₁₉×#95	—	2	4	no	—
34	C₁₉×#95	—	2	2	no	—
35	C₁₉×#95	D₄	1	4	yes	—
36	C₂²⋊(C₁₉⋊C₈)	—	2	2	no	—
37	#10597262	—	4	2	no	—
38	#10597262	—	4	2	no	—
39	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
40	C₄⋊(C₁₉⋊C₈)	—	2	2	no	—
41	C₄×C₁₉⋊C₈	—	2	2	no	—
42	C₂×Q₈×C₁₉	—	4	4	no	—
43	C₂×Q₈×C₁₉	—	4	8	no	—
44	C₂²×C₄×C₁₉	—	2	1	no	—
45	C₂²×C₄×C₁₉	—	2	1	no	—
46	C₂²×C₄×C₁₉	—	2	4	no	—
47	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
48	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
49	C₂×C₂²⋊D₁₉	—	4	1	no	—
50	#64541	—	4	1	no	—
51	#64541	—	4	1	no	—
52	#64541	—	4	1	no	—
53	#64541	—	4	1	no	—
54	C₂×D₇₆	—	2	1	no	—
55	C₂×D₇₆	—	2	2	no	—
56	C₂×C₄×D₁₉	—	4	1	no	—
57	C₂×Dic₃₈	—	2	1	no	—
58	C₄⋊C₄×C₁₉	—	4	4	no	—
59	C₄⋊C₄×C₁₉	—	4	2	no	—
60	C₄⋊C₄×C₁₉	—	4	2	no	—
61	C₄²×C₁₉	—	2	1	no	—
62	C₄²×C₁₉	—	2	1	no	—
63	C₄²×C₁₉	—	4	4	no	—
64	C₄²×C₁₉	D₈	1	2	yes	—
65	C₄²×C₁₉	SD₁₆	1	2	yes	—
66	C₄²×C₁₉	C₂×Q₈	1	1	yes	characteristic
67	C₄²×C₁₉	#41	1	1	yes	characteristic
68	C₄²×C₁₉	#41	1	2	yes	—
69	(C₂×D₁₉)⋊C₄	—	4	2	no	—
70	C₄⋊Dic₁₉	—	2	2	no	—
71	#64520	—	4	1	no	—
72	#64520	—	4	1	no	—
73	C₂×C₁₉⋊C₈	—	4	2	no	—
74	C₂×C₁₉⋊C₈	—	4	1	no	—
75	#10362	—	19	1	no	maximal, Sylow
76	C₂³×C₁₉	#120	1	1	yes	characteristic
77	C₂²×D₁₉	—	4	1	no	—
78	Q₈×C₁₉	—	8	8	no	—
79	C₂×C₄×C₁₉	—	2	4	no	—
80	C₂×C₄×C₁₉	—	2	2	no	—
81	C₂×C₄×C₁₉	—	2	2	no	—
82	C₂×C₄×C₁₉	—	4	2	no	—
83	C₂×C₄×C₁₉	—	4	2	no	—
84	C₂×C₄×C₁₉	—	4	8	no	—
85	C₂×C₄×C₁₉	—	4	4	no	—
86	C₂×C₄×C₁₉	C₂²⋊Q₈	1	2	yes	—
87	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
88	C₂×C₄×C₁₉	#124	1	2	yes	—
89	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
90	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
91	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
92	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
93	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
94	C₂²⋊D₁₉	—	8	1	no	—
95	C₂²⋊D₁₉	—	8	1	no	—
96	C₂×Dic₁₉	—	4	1	no	—
97	D₇₆	—	4	1	no	—
98	D₇₆	—	4	1	no	—
99	D₇₆	—	8	2	no	—
100	C₄×D₁₉	—	8	1	no	—
101	C₄×D₁₉	—	8	1	no	—
102	Dic₃₈	—	4	1	no	—
103	Dic₃₈	—	4	1	no	—
104	C₁₉⋊C₈	—	8	2	no	—
105	C₁₉⋊C₈	—	8	1	no	—
106	#2862	D₁₉	1	1	yes	characteristic, complemented
107	#1962	—	19	1	no	—
108	#1517	—	19	2	no	—
109	#1286	—	19	2	no	—
110	#1276	—	19	1	no	—
111	C₂²×C₁₉	—	2	2	no	—
112	C₂²×C₁₉	#393	1	1	yes	characteristic
113	C₂²×C₁₉	#447	1	1	yes	characteristic
114	C₂²×C₁₉	#448	1	1	yes	characteristic
115	C₂×D₁₉	—	8	1	no	—
116	C₂×D₁₉	—	8	2	no	—
117	C₄×C₁₉	—	2	4	no	—
118	C₄×C₁₉	—	2	2	no	—
119	C₄×C₁₉	—	2	2	no	—
120	C₄×C₁₉	—	4	2	no	—
121	C₄×C₁₉	—	8	4	no	—
122	C₄×C₁₉	#474	1	1	yes	characteristic
123	C₄×C₁₉	#476	1	1	yes	characteristic
124	C₄×C₁₉	#486	1	1	yes	characteristic
125	C₄×C₁₉	#489	1	1	yes	characteristic
126	Dic₁₉	—	8	1	no	—
127	#532	—	19	1	no	—
128	C₂×C₄⋊Q₈	—	2	1	no	—
129	#431	—	19	2	no	—
130	#423	—	19	1	no	—
131	C₂×#104	—	38	1	no	—
132	C₂×#104	—	38	1	no	—
133	#391	—	2	4	no	—
134	#382	—	2	1	no	—
135	#382	C₂×D₁₉	1	2	yes	—
136	C₄³	C₂×D₁₉	1	1	yes	characteristic
137	#327	—	38	4	no	—
138	C₂×C₁₉	—	2	1	no	—
139	C₂×C₁₉	—	2	1	no	—
140	C₂×C₁₉	#2023	1	1	yes	characteristic
141	C₂×C₁₉	#2031	1	2	yes	—
142	D₁₉	—	16	1	no	—
143	C₂×#41	—	38	1	no	—
144	C₂²×Q₈	—	2	2	no	—
145	C₂×M₁₆	—	38	1	no	—
146	C₄⋊Q₈	—	4	2	no	—
147	C₄⋊Q₈	—	4	2	no	—
148	C₄⋊Q₈	—	19	1	no	—
149	#127	—	19	1	no	—
150	#124	—	38	1	no	—
151	#121	—	38	2	no	—
152	C₄×D₄	—	38	2	no	—
153	C₂×C₄⋊C₄	—	2	2	no	—
154	C₂×C₄⋊C₄	—	2	2	no	—
155	C₂×C₄²	—	2	2	no	—
156	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
157	C₂×C₄²	C₂²⋊D₁₉	1	1	yes	characteristic
158	C₂×C₄²	C₂²×D₁₉	1	1	yes	characteristic
159	C₄⋊C₈	—	38	2	no	—
160	C₄⋊C₈	—	38	2	no	—
161	#104	—	76	2	no	—
162	#104	—	76	2	no	—
163	C₂²⋊C₈	—	38	2	no	—
164	C₄×C₈	—	38	2	no	—
165	#95	—	2	4	no	—
166	#95	—	2	2	no	—
167	#95	C₂²⋊D₁₉	1	4	yes	—
168	C₁₉	#10362	1	1	yes	characteristic, complemented, Sylow
169	#41	—	76	1	no	—
170	#41	—	76	1	no	—
171	#41	—	76	1	no	—
172	#41	—	76	1	no	—
173	C₂×Q₈	—	4	4	no	—
174	C₂×Q₈	—	4	8	no	—
175	C₂×Q₈	—	38	1	no	—
176	C₂×D₄	—	38	1	no	—
177	C₂×D₄	—	38	2	no	—
178	C₂×D₄	—	76	1	no	—
179	C₂²×C₄	—	2	1	no	—
180	C₂²×C₄	—	2	1	no	—
181	C₂²×C₄	—	2	4	no	—
182	C₂²×C₄	—	76	1	no	—
183	C₂²×C₄	C₂×C₂²⋊D₁₉	1	2	yes	—
184	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
185	M₁₆	—	76	1	no	—
186	M₁₆	—	76	1	no	—
187	C₂×C₈	—	76	2	no	—
188	C₂×C₈	—	76	1	no	—
189	C₄⋊C₄	—	4	4	no	—
190	C₄⋊C₄	—	4	2	no	—
191	C₄⋊C₄	—	4	2	no	—
192	C₄⋊C₄	—	38	2	no	—
193	C₂²⋊C₄	—	76	2	no	—
194	C₄²	—	2	1	no	—
195	C₄²	—	2	1	no	—
196	C₄²	—	4	4	no	—
197	C₄²	#64525	1	2	yes	—
198	C₄²	#64527	1	2	yes	—
199	C₄²	Q₈×D₁₉	1	1	yes	characteristic
200	C₄²	#64545	1	1	yes	characteristic
201	C₄²	#64545	1	2	yes	—
202	C₂³	—	76	1	no	—
203	C₂³	#10597399	1	1	yes	characteristic
204	Q₈	—	8	8	no	—
205	Q₈	—	76	1	no	—
206	Q₈	—	76	1	no	—
207	D₄	—	76	1	no	—
208	D₄	—	76	1	no	—
209	D₄	—	152	2	no	—
210	D₄	—	152	1	no	—
211	D₄	—	152	1	no	—
212	C₂×C₄	—	2	4	no	—
213	C₂×C₄	—	2	2	no	—
214	C₂×C₄	—	2	2	no	—
215	C₂×C₄	—	4	2	no	—
216	C₂×C₄	—	4	2	no	—
217	C₂×C₄	—	4	8	no	—
218	C₂×C₄	—	4	4	no	—
219	C₂×C₄	—	76	1	no	—
220	C₂×C₄	—	152	1	no	—
221	C₂×C₄	—	152	1	no	—
222	C₂×C₄	C₂×#64525	1	1	yes	characteristic
223	C₂×C₄	#10597378	1	1	yes	characteristic
224	C₂×C₄	C₂×#64527	1	1	yes	characteristic
225	C₂×C₄	#10597388	1	1	yes	characteristic
226	C₂×C₄	#10597392	1	2	yes	—
227	C₂×C₄	#10597392	1	1	yes	characteristic
228	C₂×C₄	#10597393	1	2	yes	—
229	C₂×C₄	#10597393	1	1	yes	characteristic
230	C₈	—	152	2	no	—
231	C₈	—	152	1	no	—
232	C₂²	—	2	2	no	—
233	C₂²	—	152	1	no	—
234	C₂²	—	152	2	no	—
235	C₂²	#11926455	1	1	yes	characteristic
236	C₂²	#11926678	1	1	yes	characteristic
237	C₂²	#11926683	1	1	yes	characteristic
238	C₄	—	2	4	no	—
239	C₄	—	2	2	no	—
240	C₄	—	2	2	no	—
241	C₄	—	4	2	no	—
242	C₄	—	8	4	no	—
243	C₄	—	152	1	no	—
244	C₄	#11926821	1	1	yes	characteristic
245	C₄	#11926831	1	1	yes	characteristic
246	C₄	#11926892	1	1	yes	characteristic
247	C₄	#11926906	1	1	yes	characteristic
248	C₂	—	2	1	no	—
249	C₂	—	2	1	no	—
250	C₂	—	304	1	no	—
251	C₂	#14564768	1	1	yes	characteristic
252	C₂	#14564804	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#14564463

C₂

yes

maximal, characteristic

#14562194

C₂

yes

maximal

#14561493

C₂

yes

maximal, complemented

#14561468

C₂

yes

maximal, characteristic, complemented

C₁₉×#2862

C₂

yes

maximal, characteristic, complemented

#11927094

C₂²

yes

characteristic

#11926597

C₂²

yes

—

#11926568

C₂²

yes

—

—

—

C₂×C₁₉×C₄⋊Q₈

—

C₁₉×#391

—

C₁₉×#382

—

C₁₉×#382

C₂²

yes

—

C₄³×C₁₉

C₂²

yes

characteristic

C₂²×Q₈×C₁₉

—

C₂×#64541

—

C₁₉×C₄⋊Q₈

—

C₁₉×C₄⋊Q₈

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄⋊C₄×C₁₉

—

C₂×C₄²×C₁₉

—

C₂×C₄²×C₁₉

D₄

yes

characteristic

C₂×C₄²×C₁₉

D₄

yes

characteristic

C₂×C₄²×C₁₉

C₂³

yes

—

—

—

Q₈

yes

characteristic, complemented

C₄×D₇₆

—

#10597315

Q₈

yes

characteristic, complemented

C₁₉×#95

—

C₁₉×#95

—

C₁₉×#95

D₄

yes

—

C₂²⋊(C₁₉⋊C₈)

—

#10597262

—

#10597262

—

C₄⋊(C₁₉⋊C₈)

—

C₄⋊(C₁₉⋊C₈)

—

C₄×C₁₉⋊C₈

—

C₂×Q₈×C₁₉

—

C₂×Q₈×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

—

C₂²×C₄×C₁₉

C₂×D₄

yes

—

C₂²×C₄×C₁₉

C₂×D₄

yes

characteristic

C₂×C₂²⋊D₁₉

—

—

—

—

—

C₂×D₇₆

—

C₂×D₇₆

—

C₂×C₄×D₁₉

—

C₂×Dic₃₈

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄⋊C₄×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

—

C₄²×C₁₉

D₈

yes

—

C₄²×C₁₉

SD₁₆

yes

—

C₄²×C₁₉

C₂×Q₈

yes

C₄²×C₁₉

yes

C₄²×C₁₉

yes

—

(C₂×D₁₉)⋊C₄

—

C₄⋊Dic₁₉

—

#64520

—

#64520

—

C₂×C₁₉⋊C₈

—

C₂×C₁₉⋊C₈

—

—

C₂³×C₁₉

yes

C₂²×D₁₉

—

Q₈×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

C₂²⋊Q₈

yes

—

C₂×C₄×C₁₉

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₁₉

#124

yes

—

C₂×C₄×C₁₉

#124

yes

characteristic

C₂×C₄×C₁₉

C₂×D₈

yes

characteristic

C₂×C₄×C₁₉

C₂×SD₁₆

yes

C₂×C₄×C₁₉

yes

C₂×C₄×C₁₉

yes

C₂²⋊D₁₉

—

C₂²⋊D₁₉

—

C₂×Dic₁₉

—

D₇₆

—

D₇₆

—

D₇₆

—

100

C₄×D₁₉

—

101

C₄×D₁₉

—

102

Dic₃₈

—

103

Dic₃₈

—

104

C₁₉⋊C₈

—

105

C₁₉⋊C₈

—

106

#2862

D₁₉

yes

characteristic, complemented

107

#1962

—

108

#1517

—

109

#1286

—

110

#1276

—

111

C₂²×C₁₉

—

112

C₂²×C₁₉

#393

yes

characteristic

113

C₂²×C₁₉

#447

yes

characteristic

114

C₂²×C₁₉

#448

yes

characteristic

115

C₂×D₁₉

—

116

C₂×D₁₉

—

117

C₄×C₁₉

—

118

C₄×C₁₉

—

119

C₄×C₁₉

—

120

C₄×C₁₉

—

121

C₄×C₁₉

—

122

C₄×C₁₉

#474

yes

characteristic

123

C₄×C₁₉

#476

yes

characteristic

124

C₄×C₁₉

#486

yes

characteristic

125

C₄×C₁₉

#489

yes

characteristic

126

Dic₁₉

—

127

#532

—

128

C₂×C₄⋊Q₈

—

129

#431

—

130

#423

—

131

C₂×#104

—

132

C₂×#104

—

133

#391

—

134

#382

—

135

#382

C₂×D₁₉

yes

—

136

C₄³

C₂×D₁₉

yes

characteristic

137

#327

—

138

C₂×C₁₉

—

139

C₂×C₁₉

—

140

C₂×C₁₉

#2023

yes

characteristic

141

C₂×C₁₉

#2031

yes

—

142

D₁₉

—

143

C₂×#41

—

144

C₂²×Q₈

—

145

C₂×M₁₆

—

146

C₄⋊Q₈

—

147

C₄⋊Q₈

—

148

C₄⋊Q₈

—

149

#127

—

150

#124

—

151

#121

—

152

C₄×D₄

—

153

C₂×C₄⋊C₄

—

154

C₂×C₄⋊C₄

—

155

C₂×C₄²

—

156

C₂×C₄²

C₂²⋊D₁₉

yes

characteristic

157

C₂×C₄²

C₂²⋊D₁₉

yes

characteristic

158

C₂×C₄²

C₂²×D₁₉

yes

characteristic

159

C₄⋊C₈

—

160

C₄⋊C₈

—

161

#104

—

162

#104

—

163

C₂²⋊C₈

—

164

C₄×C₈

—

165

#95

—

166

#95

—

167

#95

C₂²⋊D₁₉

yes

—

168

C₁₉

#10362

yes

characteristic, complemented, Sylow

169

#41

—

170

#41

—

171

#41

—

172

#41

—

173

C₂×Q₈

—

174

C₂×Q₈

—

175

C₂×Q₈

—

176

C₂×D₄

—

177

C₂×D₄

—

178

C₂×D₄

—

179

C₂²×C₄

—

180

C₂²×C₄

—

181

C₂²×C₄

—

182

C₂²×C₄

—

183

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

—

184

C₂²×C₄

C₂×C₂²⋊D₁₉

yes

characteristic

185

M₁₆

—

186

M₁₆

—

187

C₂×C₈

—

188

C₂×C₈

—

189

C₄⋊C₄

—

190

C₄⋊C₄

—

191

C₄⋊C₄

—

192

C₄⋊C₄

—

193

C₂²⋊C₄

—

194

C₄²

—

195

C₄²

—

196

C₄²

—

197

C₄²

#64525

yes

—

198

C₄²

#64527

yes

—

199

C₄²

Q₈×D₁₉

yes

characteristic

200

C₄²

#64545

yes

characteristic

201

C₄²

#64545

yes

—

202

C₂³

—

203

C₂³

#10597399

yes

characteristic

204

Q₈

—

205

Q₈

—

206

Q₈

—

207

D₄

—

208

D₄

—

209

D₄

—

152

—

210

D₄

—

152

—

211

D₄

—

152

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

215

C₂×C₄

—

216

C₂×C₄

—

217

C₂×C₄

—

218

C₂×C₄

—

219

C₂×C₄

—

220

C₂×C₄

—

152

—

221

C₂×C₄

—

152

—

222

C₂×C₄

C₂×#64525

yes

characteristic

223

C₂×C₄

#10597378

yes

characteristic

224

C₂×C₄

C₂×#64527

yes

characteristic

225

C₂×C₄

#10597388

yes

characteristic

226

C₂×C₄

#10597392

yes

—

227

C₂×C₄

#10597392

yes

characteristic

228

C₂×C₄

#10597393

yes

—

229

C₂×C₄

#10597393

yes

characteristic

230

C₈

—

152

—

231

C₈

—

152

—

232

C₂²

—

233

C₂²

—

152

—

234

C₂²

—

152

—

235

C₂²

#11926455

yes

characteristic

236

C₂²

#11926678

yes

characteristic

237

C₂²

#11926683

yes

characteristic

238

C₄

—

239

C₄

—

240

C₄

—

241

C₄

—

242

C₄

—

243

C₄

—

152

—

244

C₄

#11926821

yes

characteristic

245

C₄

#11926831

yes

characteristic

246

C₄

#11926892

yes

characteristic

247

C₄

#11926906

yes

characteristic

248

C₂

—

249

C₂

—

250

C₂

—

304

—

251

C₂

#14564768

yes

characteristic

252

C₂

#14564804

yes

—

	subgroup	G/H
center	C₂²	#11926455
commutator, cosocle	C₂×C₄²×C₁₉	C₂³
Frattini	C₂×C₄²	C₂²×D₁₉
Fitting	C₁₉×#2862	C₂
socle	C₂²×C₁₉	#393
prime radical	#11927094	C₂²
hypercenter	#2862	D₁₉
hypocenter	C₁₉	#10362
LCS	G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2862

subgroup

G/H

center

C₂²

#11926455

commutator, cosocle

C₂×C₄²×C₁₉

C₂³

Frattini

C₂×C₄²

C₂²×D₁₉

Fitting

C₁₉×#2862

C₂

C₂²×C₁₉

C₂²

D₁₉

C₁₉

G ▷ C₂×C₄²×C₁₉ ▷ C₂²×C₁₉ ▷ C₁₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2862

N	H ≅ G/N	type
3. #14561493	C₂	semidirect
4. #14561468	C₂	semidirect
5. C₁₉×#2862	C₂	semidirect
30. #10597320	Q₈	semidirect
32. #10597315	Q₈	semidirect
106. #2862	D₁₉	semidirect
168. C₁₉	#10362	semidirect

H ≅ G/N

type

3. #14561493

C₂

semidirect

4. #14561468

C₂

semidirect

5. C₁₉×#2862

C₂

semidirect

30. #10597320

Q₈

semidirect

32. #10597315

Q₈

semidirect

106. #2862

D₁₉

semidirect

168. C₁₉

#10362

semidirect

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

subgroup	index
#14564463	2
#14562194	2
#14561493	2
#14561468	2
C₁₉×#2862	2
#10362	19

subgroup

index

C₁₉×#2862

Subgroups — #18085624

Conjugacy classes of subgroups

Complements

Maximal subgroups