Group #19147582 — subgroups

Subgroups — #19147582

Order 5504.

360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.

normal subgroups only

This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 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	#14583623	C₂	1	1	yes	maximal, characteristic, complemented
2	#14583619	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583280	C₂	1	2	yes	maximal
4	#14583278	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583124	C₂	1	2	yes	maximal, complemented
6	#14583119	C₂	1	2	yes	maximal, complemented
7	#14583105	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583023	C₂	1	1	yes	maximal, characteristic, complemented
9	#14582991	C₂	1	2	yes	maximal, complemented
10	C₄×#10621882	C₂	1	1	yes	maximal, characteristic
11	C₄₃×#461	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#10621885	C₂²	1	2	yes	—
13	C₂×#10621885	C₂²	1	2	yes	—
14	C₂×#10621873	C₂²	1	2	yes	—
15	C₂×#10621882	C₂²	1	1	yes	characteristic
16	#13063325	C₂²	1	1	yes	characteristic
17	#13063320	—	2	2	no	—
18	#13063318	—	2	2	no	—
19	#13063314	C₂²	1	2	yes	—
20	#13063312	C₂²	1	2	yes	—
21	#13063305	—	2	1	no	—
22	#13063304	—	2	1	no	—
23	Q₈×Dic₄₃	C₂²	1	2	yes	—
24	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
25	#13063290	C₂²	1	2	yes	—
26	C₄×D₁₇₂	C₂²	1	1	yes	characteristic
27	#13063284	—	2	1	no	—
28	#13063283	—	2	1	no	—
29	#13063258	C₂²	1	1	yes	characteristic
30	Dic₄₃⋊C₈	C₂²	1	2	yes	—
31	#13063250	C₂²	1	2	yes	—
32	#13063246	C₂²	1	1	yes	characteristic
33	#13063245	C₂²	1	1	yes	characteristic
34	C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
35	C₈×Dic₄₃	C₂²	1	2	yes	—
36	C₂×SD₁₆×C₄₃	C₂²	1	2	yes	—
37	C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
38	C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
39	C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
40	#103×C₄₃	C₂²	1	2	yes	—
41	C₂×Q₈×C₄₃	C₂³	1	2	yes	—
42	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₄₃	—	2	1	no	—
44	C₂×D₁₇₂	C₂³	1	1	yes	characteristic
45	C₂×C₄×D₄₃	—	2	1	no	—
46	C₂×Dic₈₆	D₄	1	1	yes	characteristic
47	C₂×Dic₈₆	C₂³	1	2	yes	—
48	SD₁₆×C₄₃	—	4	2	no	—
49	C₂×C₈×C₄₃	C₂³	1	2	yes	—
50	C₄⋊C₄×C₄₃	—	2	1	no	—
51	C₄⋊C₄×C₄₃	—	2	1	no	—
52	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
53	C₂²⋊C₄×C₄₃	—	2	1	no	—
54	C₄²×C₄₃	C₂³	1	1	yes	characteristic
55	C₂²⋊Dic₄₃	—	2	2	no	—
56	C₂²⋊Dic₄₃	—	2	2	no	—
57	#10621885	—	2	4	no	—
58	#10621885	—	4	2	no	—
59	#10621882	—	2	2	no	—
60	(C₂×D₄₃)⋊C₄	—	2	1	no	—
61	(C₂×D₄₃)⋊C₄	—	2	2	no	—
62	(C₂×D₄₃)⋊C₄	—	2	2	no	—
63	C₄⋊Dic₄₃	—	2	1	no	—
64	C₄⋊Dic₄₃	—	2	1	no	—
65	C₄⋊Dic₄₃	—	2	2	no	—
66	C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
67	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
68	Dic₄₃⋊C₄	—	2	2	no	—
69	Dic₄₃⋊C₄	D₄	1	2	yes	—
70	C₄×Dic₄₃	—	2	2	no	—
71	C₄×Dic₄₃	—	2	2	no	—
72	C₄×Dic₄₃	C₂³	1	2	yes	—
73	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
74	C₂×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
75	#10621873	—	4	2	no	—
76	C₂³×C₄₃	—	2	1	no	—
77	C₂²×D₄₃	—	2	1	no	—
78	Q₈×C₄₃	—	2	2	no	—
79	Q₈×C₄₃	—	2	2	no	—
80	D₄×C₄₃	—	2	1	no	—
81	D₄×C₄₃	—	2	1	no	—
82	C₂×C₄×C₄₃	—	2	1	no	—
83	C₂×C₄×C₄₃	—	2	2	no	—
84	C₂×C₄×C₄₃	—	4	2	no	—
85	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
86	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
87	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
88	C₂×Dic₄₃	—	2	1	no	—
89	C₂×Dic₄₃	—	2	2	no	—
90	C₂×Dic₄₃	C₂×D₄	1	2	yes	—
91	C₂×Dic₄₃	C₂×D₄	1	2	yes	—
92	D₁₇₂	—	2	1	no	—
93	D₁₇₂	—	2	1	no	—
94	C₄×D₄₃	—	4	2	no	—
95	Dic₈₆	—	2	2	no	—
96	Dic₈₆	—	2	2	no	—
97	Dic₈₆	—	2	2	no	—
98	C₈×C₄₃	—	2	2	no	—
99	C₄₃⋊C₈	—	2	1	no	—
100	C₄₃⋊C₈	#41	1	2	yes	—
101	C₂²×C₄₃	—	4	1	no	—
102	C₂²×C₄₃	—	4	1	no	—
103	C₂²×C₄₃	—	4	1	no	—
104	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
105	C₂×D₄₃	—	4	1	no	—
106	C₂×D₄₃	—	4	1	no	—
107	C₂×D₄₃	—	4	1	no	—
108	C₄×C₄₃	—	2	1	no	—
109	C₄×C₄₃	—	4	2	no	—
110	C₄×C₄₃	—	4	1	no	—
111	C₄×C₄₃	#135	1	2	yes	—
112	C₄×C₄₃	C₂×#41	1	1	yes	characteristic
113	C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
114	Dic₄₃	—	2	2	no	—
115	Dic₄₃	—	2	2	no	—
116	Dic₄₃	—	4	2	no	—
117	Dic₄₃	—	4	1	no	—
118	#3393	—	43	1	no	maximal, Sylow
119	C₂×C₄₃	—	8	1	no	—
120	C₂×C₄₃	#550	1	1	yes	characteristic
121	C₂×C₄₃	C₂×#135	1	1	yes	characteristic
122	C₂×C₄₃	#578	1	1	yes	characteristic
123	D₄₃	—	8	1	no	—
124	#556	—	43	1	no	—
125	#556	—	43	1	no	—
126	#495	—	43	2	no	—
127	#494	—	43	1	no	—
128	#464	—	43	2	no	—
129	#464	—	43	2	no	—
130	#461	—	43	1	no	—
131	#461	D₄₃	1	1	yes	characteristic, complemented
132	C₈×Q₈	—	43	1	no	—
133	C₄×Q₁₆	—	43	2	no	—
134	C₄×D₈	—	43	1	no	—
135	C₄₃	#3393	1	1	yes	characteristic, complemented, Sylow
136	C₂×Q₁₆	—	43	2	no	—
137	C₂×Q₁₆	—	43	2	no	—
138	C₂×SD₁₆	—	43	2	no	—
139	C₂×SD₁₆	C₂×D₄₃	1	2	yes	—
140	C₂×D₈	—	43	1	no	—
141	C₄⋊Q₈	—	43	1	no	—
142	C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
143	#126	—	86	2	no	—
144	#126	—	86	2	no	—
145	#124	—	43	2	no	—
146	#124	—	43	2	no	—
147	C₂²⋊Q₈	—	86	1	no	—
148	C₂²⋊Q₈	—	86	1	no	—
149	C₄×Q₈	—	43	1	no	—
150	C₄×Q₈	—	43	2	no	—
151	C₄×Q₈	—	43	2	no	—
152	C₄×D₄	—	43	1	no	—
153	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
154	#117	—	86	1	no	—
155	#117	—	86	1	no	—
156	#107	—	43	1	no	—
157	C₄⋊C₈	—	43	2	no	—
158	C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
159	#103	—	43	2	no	—
160	#103	C₂×D₄₃	1	2	yes	—
161	#102	—	43	1	no	—
162	#102	—	43	1	no	—
163	C₄×C₈	—	43	2	no	—
164	C₄×C₈	—	43	1	no	—
165	C₂×Q₈	—	43	1	no	—
166	C₂×Q₈	—	43	2	no	—
167	C₂×Q₈	C₂²×D₄₃	1	2	yes	—
168	C₂×D₄	—	43	1	no	—
169	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
170	C₂²×C₄	—	2	1	no	—
171	C₂²×C₄	—	86	1	no	—
172	Q₁₆	—	86	4	no	—
173	Q₁₆	—	172	2	no	—
174	SD₁₆	—	4	2	no	—
175	SD₁₆	—	172	2	no	—
176	D₈	—	86	2	no	—
177	C₂×C₈	—	43	1	no	—
178	C₂×C₈	—	43	1	no	—
179	C₂×C₈	C₂²×D₄₃	1	2	yes	—
180	C₄⋊C₄	—	2	1	no	—
181	C₄⋊C₄	—	2	1	no	—
182	C₄⋊C₄	—	43	1	no	—
183	C₄⋊C₄	—	43	2	no	—
184	C₄⋊C₄	—	43	1	no	—
185	C₄⋊C₄	—	86	2	no	—
186	C₄⋊C₄	—	86	2	no	—
187	C₄⋊C₄	—	86	1	no	—
188	C₄⋊C₄	—	86	1	no	—
189	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
190	C₂²⋊C₄	—	2	1	no	—
191	C₂²⋊C₄	—	86	2	no	—
192	C₂²⋊C₄	—	86	2	no	—
193	C₂²⋊C₄	—	86	2	no	—
194	C₂²⋊C₄	—	86	2	no	—
195	C₂²⋊C₄	—	86	1	no	—
196	C₄²	—	43	2	no	—
197	C₄²	—	86	2	no	—
198	C₄²	—	86	2	no	—
199	C₄²	C₂²×D₄₃	1	1	yes	characteristic
200	C₂³	—	2	1	no	—
201	C₂³	—	86	1	no	—
202	Q₈	—	2	2	no	—
203	Q₈	—	2	2	no	—
204	Q₈	—	86	2	no	—
205	Q₈	—	86	2	no	—
206	Q₈	—	86	2	no	—
207	D₄	—	2	1	no	—
208	D₄	—	2	1	no	—
209	D₄	—	86	1	no	—
210	D₄	—	86	1	no	—
211	C₂×C₄	—	2	1	no	—
212	C₂×C₄	—	2	2	no	—
213	C₂×C₄	—	4	2	no	—
214	C₂×C₄	—	43	2	no	—
215	C₂×C₄	—	43	2	no	—
216	C₂×C₄	—	86	1	no	—
217	C₂×C₄	—	86	2	no	—
218	C₂×C₄	—	172	2	no	—
219	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
220	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
221	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
222	C₈	—	2	2	no	—
223	C₈	—	43	2	no	—
224	C₈	—	86	1	no	—
225	C₂²	—	4	1	no	—
226	C₂²	—	4	1	no	—
227	C₂²	—	4	1	no	—
228	C₂²	—	172	1	no	—
229	C₂²	—	172	1	no	—
230	C₂²	—	172	1	no	—
231	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
232	C₄	—	2	1	no	—
233	C₄	—	4	2	no	—
234	C₄	—	4	1	no	—
235	C₄	—	86	2	no	—
236	C₄	—	86	2	no	—
237	C₄	—	172	2	no	—
238	C₄	—	172	1	no	—
239	C₄	#13063346	1	2	yes	—
240	C₄	#41×D₄₃	1	1	yes	characteristic
241	C₄	#13063370	1	1	yes	characteristic
242	C₂	—	8	1	no	—
243	C₂	—	344	1	no	—
244	C₂	#14583567	1	1	yes	characteristic
245	C₂	C₂×#13063346	1	1	yes	characteristic
246	C₂	#14583715	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#14583623

C₂

yes

maximal, characteristic, complemented

#14583619

C₂

yes

maximal, characteristic, complemented

#14583280

C₂

yes

maximal

#14583278

C₂

yes

maximal, characteristic, complemented

#14583124

C₂

yes

maximal, complemented

#14583119

C₂

yes

maximal, complemented

#14583105

C₂

yes

maximal, characteristic, complemented

#14583023

C₂

yes

maximal, characteristic, complemented

#14582991

C₂

yes

maximal, complemented

C₄×#10621882

C₂

yes

maximal, characteristic

C₄₃×#461

C₂

yes

maximal, characteristic, complemented

C₂×#10621885

C₂²

yes

—

C₂×#10621885

C₂²

yes

—

C₂×#10621873

C₂²

yes

—

C₂×#10621882

C₂²

yes

characteristic

#13063325

C₂²

yes

—

—

C₂²

yes

—

#13063312

C₂²

yes

—

#13063305

—

#13063304

—

Q₈×Dic₄₃

C₂²

yes

—

C₄×Dic₈₆

C₂²

yes

characteristic

#13063290

C₂²

yes

—

C₄×D₁₇₂

C₂²

yes

—

—

C₂²

yes

characteristic

Dic₄₃⋊C₈

C₂²

yes

—

#13063250

C₂²

yes

—

#13063246

C₂²

yes

characteristic

#13063245

C₂²

yes

characteristic

C₄×C₄₃⋊C₈

C₂²

yes

characteristic

C₈×Dic₄₃

C₂²

yes

—

C₂×SD₁₆×C₄₃

C₂²

yes

—

C₄⋊Q₈×C₄₃

C₂²

yes

characteristic

C₄×D₄×C₄₃

C₂²

yes

characteristic

C₄⋊C₈×C₄₃

C₂²

yes

characteristic

#103×C₄₃

C₂²

yes

—

C₂×Q₈×C₄₃

C₂³

yes

—

C₂×D₄×C₄₃

C₂³

yes

characteristic

C₂²×C₄×C₄₃

—

C₂×D₁₇₂

C₂³

yes

characteristic

C₂×C₄×D₄₃

—

C₂×Dic₈₆

D₄

yes

characteristic

C₂×Dic₈₆

C₂³

yes

—

SD₁₆×C₄₃

—

C₂×C₈×C₄₃

C₂³

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

C₂³

yes

characteristic

C₂²⋊C₄×C₄₃

—

C₄²×C₄₃

C₂³

yes

characteristic

C₂²⋊Dic₄₃

—

C₂²⋊Dic₄₃

—

#10621885

—

#10621885

—

#10621882

—

(C₂×D₄₃)⋊C₄

—

(C₂×D₄₃)⋊C₄

—

(C₂×D₄₃)⋊C₄

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

D₄

yes

characteristic

C₄⋊Dic₄₃

C₂³

yes

characteristic

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

D₄

yes

—

C₄×Dic₄₃

—

C₄×Dic₄₃

—

C₄×Dic₄₃

C₂³

yes

—

C₂×C₄₃⋊C₈

C₂³

yes

characteristic

C₂×C₄₃⋊C₈

C₂³

yes

characteristic

#10621873

—

C₂³×C₄₃

—

C₂²×D₄₃

—

Q₈×C₄₃

—

Q₈×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂⁴

yes

characteristic

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

C₂×D₄

yes

—

C₂×Dic₄₃

C₂×D₄

yes

—

D₁₇₂

—

D₁₇₂

—

C₄×D₄₃

—

Dic₈₆

—

Dic₈₆

—

Dic₈₆

—

C₈×C₄₃

—

C₄₃⋊C₈

—

100

C₄₃⋊C₈

#41

yes

—

101

C₂²×C₄₃

—

102

C₂²×C₄₃

—

103

C₂²×C₄₃

—

104

C₂²×C₄₃

C₂²×D₄

yes

characteristic

105

C₂×D₄₃

—

106

C₂×D₄₃

—

107

C₂×D₄₃

—

108

C₄×C₄₃

—

109

C₄×C₄₃

—

110

C₄×C₄₃

—

111

C₄×C₄₃

#135

yes

—

112

C₄×C₄₃

C₂×#41

yes

characteristic

113

C₄×C₄₃

H(5,𝔽₂)

yes

characteristic

114

Dic₄₃

—

115

Dic₄₃

—

116

Dic₄₃

—

117

Dic₄₃

—

118

#3393

—

maximal, Sylow

119

C₂×C₄₃

—

120

C₂×C₄₃

#550

yes

characteristic

121

C₂×C₄₃

C₂×#135

yes

characteristic

122

C₂×C₄₃

#578

yes

characteristic

123

D₄₃

—

124

#556

—

125

#556

—

126

#495

—

127

#494

—

128

#464

—

129

#464

—

130

#461

—

131

#461

D₄₃

yes

characteristic, complemented

132

C₈×Q₈

—

133

C₄×Q₁₆

—

134

C₄×D₈

—

135

C₄₃

#3393

yes

characteristic, complemented, Sylow

136

C₂×Q₁₆

—

137

C₂×Q₁₆

—

138

C₂×SD₁₆

—

139

C₂×SD₁₆

C₂×D₄₃

yes

—

140

C₂×D₈

—

141

C₄⋊Q₈

—

142

C₄⋊Q₈

C₂×D₄₃

yes

characteristic

143

#126

—

144

#126

—

145

#124

—

146

#124

—

147

C₂²⋊Q₈

—

148

C₂²⋊Q₈

—

149

C₄×Q₈

—

150

C₄×Q₈

—

151

C₄×Q₈

—

152

C₄×D₄

—

153

C₄×D₄

C₂×D₄₃

yes

characteristic

154

#117

—

155

#117

—

156

#107

—

157

C₄⋊C₈

—

158

C₄⋊C₈

C₂×D₄₃

yes

characteristic

159

#103

—

160

#103

C₂×D₄₃

yes

—

161

#102

—

162

#102

—

163

C₄×C₈

—

164

C₄×C₈

—

165

C₂×Q₈

—

166

C₂×Q₈

—

167

C₂×Q₈

C₂²×D₄₃

yes

—

168

C₂×D₄

—

169

C₂×D₄

C₂²×D₄₃

yes

characteristic

170

C₂²×C₄

—

171

C₂²×C₄

—

172

Q₁₆

—

173

Q₁₆

—

172

—

174

SD₁₆

—

175

SD₁₆

—

172

—

176

D₈

—

177

C₂×C₈

—

178

C₂×C₈

—

179

C₂×C₈

C₂²×D₄₃

yes

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₄⋊C₄

—

183

C₄⋊C₄

—

184

C₄⋊C₄

—

185

C₄⋊C₄

—

186

C₄⋊C₄

—

187

C₄⋊C₄

—

188

C₄⋊C₄

—

189

C₄⋊C₄

C₂²×D₄₃

yes

characteristic

190

C₂²⋊C₄

—

191

C₂²⋊C₄

—

192

C₂²⋊C₄

—

193

C₂²⋊C₄

—

194

C₂²⋊C₄

—

195

C₂²⋊C₄

—

196

C₄²

—

197

C₄²

—

198

C₄²

—

199

C₄²

C₂²×D₄₃

yes

characteristic

200

C₂³

—

201

C₂³

—

202

Q₈

—

203

Q₈

—

204

Q₈

—

205

Q₈

—

206

Q₈

—

207

D₄

—

208

D₄

—

209

D₄

—

210

D₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

215

C₂×C₄

—

216

C₂×C₄

—

217

C₂×C₄

—

218

C₂×C₄

—

172

—

219

C₂×C₄

D₄×D₄₃

yes

characteristic

220

C₂×C₄

D₄×D₄₃

yes

characteristic

221

C₂×C₄

C₂³×D₄₃

yes

characteristic

222

C₈

—

223

C₈

—

224

C₈

—

225

C₂²

—

226

C₂²

—

227

C₂²

—

228

C₂²

—

172

—

229

C₂²

—

172

—

230

C₂²

—

172

—

231

C₂²

C₂×D₄×D₄₃

yes

characteristic

232

C₄

—

233

C₄

—

234

C₄

—

235

C₄

—

236

C₄

—

237

C₄

—

172

—

238

C₄

—

172

—

239

C₄

#13063346

yes

—

240

C₄

#41×D₄₃

yes

characteristic

241

C₄

#13063370

yes

characteristic

242

C₂

—

243

C₂

—

344

—

244

C₂

#14583567

yes

characteristic

245

C₂

C₂×#13063346

yes

characteristic

246

C₂

#14583715

yes

characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂⁴
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₄₃×#461	C₂
socle	C₂²×C₄₃	C₂²×D₄
hypercenter	#461	D₄₃
hypocenter	C₄₃	#3393
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #461

subgroup

G/H

center

C₂²

C₂×D₄×D₄₃

commutator

C₂×C₄×C₄₃

C₂⁴

Frattini

C₂×C₄

C₂³×D₄₃

Fitting

C₄₃×#461

C₂

socle

C₂²×C₄₃

C₂²×D₄

D₄₃

C₄₃

G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂² ◁ C₄² ◁ #461

N	H ≅ G/N	type
1. #14583623	C₂	semidirect
2. #14583619	C₂	semidirect
4. #14583278	C₂	semidirect
5. #14583124	C₂	semidirect
6. #14583119	C₂	semidirect
7. #14583105	C₂	semidirect
8. #14583023	C₂	semidirect
9. #14582991	C₂	semidirect
11. C₄₃×#461	C₂	semidirect
131. #461	D₄₃	semidirect
135. C₄₃	#3393	semidirect

H ≅ G/N

type

1. #14583623

C₂

semidirect

2. #14583619

C₂

semidirect

4. #14583278

C₂

semidirect

5. #14583124

C₂

semidirect

6. #14583119

C₂

semidirect

7. #14583105

C₂

semidirect

8. #14583023

C₂

semidirect

9. #14582991

C₂

semidirect

11. C₄₃×#461

C₂

semidirect

131. #461

D₄₃

semidirect

135. C₄₃

#3393

semidirect

Subgroups — #19147582

Conjugacy classes of subgroups

Complements