Group #32989082 — subgroups

Subgroups — #32989082

Order 18688.

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

normal subgroups only

This group has 438 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	#22618294	C₂	1	1	yes	maximal, characteristic, complemented
2	#22608491	C₂	1	2	yes	maximal
3	#22607791	C₂	1	2	yes	maximal, complemented
4	#22607764	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇₃×#1962	C₂	1	1	yes	maximal, characteristic
6	C₂×#14556583	—	2	1	no	—
7	#17988640	C₂²	1	2	yes	—
8	#17988485	—	2	4	no	—
9	#17988457	—	2	1	no	—
10	#17988453	C₂²	1	2	yes	—
11	#17988321	—	2	4	no	—
12	#532×C₇₃	C₂²	1	1	yes	characteristic
13	#423×C₇₃	C₂²	1	1	yes	characteristic
14	C₂×#104×C₇₃	—	2	1	no	—
15	C₂×#104×C₇₃	—	2	1	no	—
16	C₄³×C₇₃	C₂²	1	1	yes	characteristic
17	#14556583	—	4	2	no	—
18	#14556583	—	4	2	no	—
19	C₂×C₄⋊Dic₇₃	—	2	4	no	—
20	C₂×C₄⋊Dic₇₃	—	2	2	no	—
21	C₂×#11924007	—	2	4	no	—
22	C₄⋊#10596831	—	2	2	no	—
23	C₂²⋊#10596831	—	2	2	no	—
24	C₄×#10596831	—	2	2	no	—
25	#14556498	—	2	2	no	—
26	#14556498	D₄	1	4	yes	—
27	C₂×#41×C₇₃	—	2	1	no	—
28	C₂×M₁₆×C₇₃	—	2	1	no	—
29	C₄⋊Q₈×C₇₃	Q₈	1	1	yes	characteristic
30	#127×C₇₃	Q₈	1	1	yes	characteristic
31	#124×C₇₃	—	2	1	no	—
32	#121×C₇₃	—	2	2	no	—
33	C₄×D₄×C₇₃	—	2	2	no	—
34	C₂×C₄²×C₇₃	—	2	2	no	—
35	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
36	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
37	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
38	C₄⋊C₈×C₇₃	—	2	2	no	—
39	#104×C₇₃	—	4	2	no	—
40	#104×C₇₃	—	4	2	no	—
41	C₂²×Dic₇₃	—	2	4	no	—
42	C₂×#10596831	—	4	2	no	—
43	C₄⋊Dic₇₃	—	4	8	no	—
44	C₄⋊Dic₇₃	—	4	2	no	—
45	C₄⋊Dic₇₃	—	4	2	no	—
46	#11924007	—	4	8	no	—
47	#41×C₇₃	—	4	1	no	—
48	#41×C₇₃	—	4	1	no	—
49	#41×C₇₃	—	4	1	no	—
50	#41×C₇₃	—	4	1	no	—
51	C₂×Q₈×C₇₃	—	2	1	no	—
52	C₂×D₄×C₇₃	—	2	1	no	—
53	C₂×D₄×C₇₃	—	2	2	no	—
54	C₂×D₄×C₇₃	—	4	1	no	—
55	C₂²×C₄×C₇₃	—	2	1	no	—
56	C₂²×C₄×C₇₃	—	2	1	no	—
57	C₂²×C₄×C₇₃	—	4	1	no	—
58	C₂²×C₄×C₇₃	C₂×D₄	1	2	yes	—
59	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
60	M₁₆×C₇₃	—	4	1	no	—
61	M₁₆×C₇₃	—	4	1	no	—
62	C₂×C₈×C₇₃	—	4	1	no	—
63	C₄⋊C₄×C₇₃	—	2	2	no	—
64	C₂²⋊C₄×C₇₃	—	4	2	no	—
65	C₄²×C₇₃	—	2	1	no	—
66	C₄²×C₇₃	—	2	1	no	—
67	C₄²×C₇₃	—	4	4	no	—
68	C₄²×C₇₃	D₈	1	2	yes	—
69	C₄²×C₇₃	SD₁₆	1	2	yes	—
70	C₄²×C₇₃	C₂×Q₈	1	1	yes	characteristic
71	C₄²×C₇₃	#41	1	2	yes	—
72	C₄²×C₇₃	#41	1	1	yes	characteristic
73	C₂³×C₇₃	—	4	1	no	—
74	C₂³×C₇₃	#120	1	1	yes	characteristic
75	Q₈×C₇₃	—	4	1	no	—
76	Q₈×C₇₃	—	4	1	no	—
77	D₄×C₇₃	—	4	1	no	—
78	D₄×C₇₃	—	4	1	no	—
79	D₄×C₇₃	—	8	2	no	—
80	D₄×C₇₃	—	8	1	no	—
81	D₄×C₇₃	—	8	1	no	—
82	C₂×C₄×C₇₃	—	2	4	no	—
83	C₂×C₄×C₇₃	—	2	2	no	—
84	C₂×C₄×C₇₃	—	2	2	no	—
85	C₂×C₄×C₇₃	—	4	2	no	—
86	C₂×C₄×C₇₃	—	4	2	no	—
87	C₂×C₄×C₇₃	—	4	1	no	—
88	C₂×C₄×C₇₃	—	8	1	no	—
89	C₂×C₄×C₇₃	—	8	1	no	—
90	C₂×C₄×C₇₃	C₂²⋊Q₈	1	2	yes	—
91	C₂×C₄×C₇₃	C₂²⋊Q₈	1	1	yes	characteristic
92	C₂×C₄×C₇₃	#124	1	2	yes	—
93	C₂×C₄×C₇₃	#124	1	1	yes	characteristic
94	C₂×C₄×C₇₃	C₂×D₈	1	1	yes	characteristic
95	C₂×C₄×C₇₃	C₂×SD₁₆	1	1	yes	characteristic
96	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	1	yes	characteristic
97	C₂×C₄×C₇₃	#137	1	1	yes	characteristic
98	C₂×Dic₇₃	—	4	8	no	—
99	C₂×Dic₇₃	—	4	4	no	—
100	C₈×C₇₃	—	8	1	no	—
101	#10596831	—	8	2	no	—
102	C₂²×C₇₃	—	2	2	no	—
103	C₂²×C₇₃	—	8	1	no	—
104	C₂²×C₇₃	—	8	2	no	—
105	C₂²×C₇₃	#393	1	1	yes	characteristic
106	C₂²×C₇₃	#447	1	1	yes	characteristic
107	C₂²×C₇₃	#448	1	1	yes	characteristic
108	C₄×C₇₃	—	2	4	no	—
109	C₄×C₇₃	—	2	2	no	—
110	C₄×C₇₃	—	2	2	no	—
111	C₄×C₇₃	—	4	2	no	—
112	C₄×C₇₃	—	8	1	no	—
113	C₄×C₇₃	#474	1	1	yes	characteristic
114	C₄×C₇₃	#476	1	1	yes	characteristic
115	C₄×C₇₃	#486	1	1	yes	characteristic
116	C₄×C₇₃	#489	1	1	yes	characteristic
117	Dic₇₃	—	8	4	no	—
118	#10364	—	73	1	no	maximal, Sylow
119	C₂×C₇₃	—	2	1	no	—
120	C₂×C₇₃	—	2	1	no	—
121	C₂×C₇₃	—	16	1	no	—
122	C₂×C₇₃	#2023	1	1	yes	characteristic
123	C₂×C₇₃	#2031	1	2	yes	—
124	#2859	—	73	1	no	—
125	#1962	D₇₃	1	1	yes	characteristic
126	#1517	—	73	2	no	—
127	#1286	—	73	2	no	—
128	#1276	—	73	1	no	—
129	C₇₃	#10364	1	1	yes	characteristic, complemented, Sylow
130	#532	C₂×D₇₃	1	1	yes	characteristic
131	C₂×#125	—	146	1	no	—
132	#431	—	73	2	no	—
133	#423	C₂×D₇₃	1	1	yes	characteristic
134	C₂×#104	—	2	1	no	—
135	C₂×#104	—	2	1	no	—
136	#389	—	146	4	no	—
137	#384	—	146	1	no	—
138	#382	—	73	2	no	—
139	C₄³	C₂×D₇₃	1	1	yes	characteristic
140	#327	—	146	4	no	—
141	C₂×#41	—	2	1	no	—
142	C₂×M₁₆	—	2	1	no	—
143	C₄⋊Q₈	Dic₁₄₆	1	1	yes	characteristic
144	#127	Dic₁₄₆	1	1	yes	characteristic
145	#125	—	292	2	no	—
146	#125	—	292	2	no	—
147	#124	—	2	1	no	—
148	#121	—	2	2	no	—
149	C₄×D₄	—	2	2	no	—
150	C₂×C₄⋊C₄	—	146	4	no	—
151	C₂×C₄⋊C₄	—	146	4	no	—
152	C₂×C₄⋊C₄	—	146	2	no	—
153	C₂×C₄²	—	2	2	no	—
154	C₂×C₄²	C₂²⋊D₇₃	1	1	yes	characteristic
155	C₂×C₄²	C₂²⋊D₇₃	1	1	yes	characteristic
156	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
157	C₄⋊C₈	—	2	2	no	—
158	C₄⋊C₈	—	146	2	no	—
159	#104	—	4	2	no	—
160	#104	—	4	2	no	—
161	C₂²⋊C₈	—	146	2	no	—
162	C₄×C₈	—	146	2	no	—
163	#95	—	73	4	no	—
164	#95	—	146	2	no	—
165	#41	—	4	1	no	—
166	#41	—	4	1	no	—
167	#41	—	4	1	no	—
168	#41	—	4	1	no	—
169	C₂×Q₈	—	2	1	no	—
170	C₂×D₄	—	2	2	no	—
171	C₂×D₄	—	2	1	no	—
172	C₂×D₄	—	4	1	no	—
173	C₂²×C₄	—	2	1	no	—
174	C₂²×C₄	—	2	1	no	—
175	C₂²×C₄	—	4	1	no	—
176	C₂²×C₄	—	146	4	no	—
177	C₂²×C₄	D₄×D₇₃	1	2	yes	—
178	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
179	M₁₆	—	4	1	no	—
180	M₁₆	—	4	1	no	—
181	C₂×C₈	—	4	1	no	—
182	C₂×C₈	—	292	2	no	—
183	C₄⋊C₄	—	2	2	no	—
184	C₄⋊C₄	—	292	8	no	—
185	C₄⋊C₄	—	292	8	no	—
186	C₄⋊C₄	—	292	2	no	—
187	C₄⋊C₄	—	292	2	no	—
188	C₂²⋊C₄	—	4	2	no	—
189	C₄²	—	2	1	no	—
190	C₄²	—	2	1	no	—
191	C₄²	—	4	4	no	—
192	C₄²	#11924013	1	2	yes	—
193	C₄²	#11924016	1	2	yes	—
194	C₄²	C₂×Dic₁₄₆	1	1	yes	characteristic
195	C₄²	#11924027	1	2	yes	—
196	C₄²	#11924028	1	1	yes	characteristic
197	C₂³	—	4	1	no	—
198	C₂³	#14556559	1	1	yes	characteristic
199	Q₈	—	4	1	no	—
200	Q₈	—	4	1	no	—
201	D₄	—	4	1	no	—
202	D₄	—	4	1	no	—
203	D₄	—	8	2	no	—
204	D₄	—	8	1	no	—
205	D₄	—	8	1	no	—
206	C₂×C₄	—	2	4	no	—
207	C₂×C₄	—	2	2	no	—
208	C₂×C₄	—	2	2	no	—
209	C₂×C₄	—	4	2	no	—
210	C₂×C₄	—	4	2	no	—
211	C₂×C₄	—	4	1	no	—
212	C₂×C₄	—	8	1	no	—
213	C₂×C₄	—	8	1	no	—
214	C₂×C₄	—	292	8	no	—
215	C₂×C₄	—	292	4	no	—
216	C₂×C₄	#14556568	1	2	yes	—
217	C₂×C₄	#14556570	1	1	yes	characteristic
218	C₂×C₄	#14556577	1	2	yes	—
219	C₂×C₄	#14556578	1	1	yes	characteristic
220	C₂×C₄	C₂×#11924013	1	1	yes	characteristic
221	C₂×C₄	C₂×#11924016	1	1	yes	characteristic
222	C₂×C₄	#14556616	1	1	yes	characteristic
223	C₂×C₄	#14556621	1	1	yes	characteristic
224	C₈	—	8	1	no	—
225	C₈	—	584	2	no	—
226	C₂²	—	2	2	no	—
227	C₂²	—	8	1	no	—
228	C₂²	—	8	2	no	—
229	C₂²	#17988499	1	1	yes	characteristic
230	C₂²	#17988720	1	1	yes	characteristic
231	C₂²	#17988725	1	1	yes	characteristic
232	C₄	—	2	4	no	—
233	C₄	—	2	2	no	—
234	C₄	—	2	2	no	—
235	C₄	—	4	2	no	—
236	C₄	—	8	1	no	—
237	C₄	—	584	4	no	—
238	C₄	#17988867	1	1	yes	characteristic
239	C₄	#17988877	1	1	yes	characteristic
240	C₄	#17988933	1	1	yes	characteristic
241	C₄	#17988946	1	1	yes	characteristic
242	C₂	—	2	1	no	—
243	C₂	—	2	1	no	—
244	C₂	—	16	1	no	—
245	C₂	#22611067	1	1	yes	characteristic
246	C₂	#22611103	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

#22618294

C₂

yes

maximal, characteristic, complemented

#22608491

C₂

yes

maximal

#22607791

C₂

yes

maximal, complemented

#22607764

C₂

yes

maximal, characteristic, complemented

C₇₃×#1962

C₂

yes

maximal, characteristic

C₂×#14556583

—

#17988640

C₂²

yes

—

#17988485

—

#17988457

—

#17988453

C₂²

yes

—

#17988321

—

#532×C₇₃

C₂²

yes

characteristic

#423×C₇₃

C₂²

yes

characteristic

C₂×#104×C₇₃

—

C₂×#104×C₇₃

—

C₄³×C₇₃

C₂²

yes

characteristic

#14556583

—

#14556583

—

C₂×C₄⋊Dic₇₃

—

C₂×C₄⋊Dic₇₃

—

—

—

—

—

—

D₄

yes

—

C₂×#41×C₇₃

—

C₂×M₁₆×C₇₃

—

C₄⋊Q₈×C₇₃

Q₈

yes

characteristic

#127×C₇₃

Q₈

yes

characteristic

#124×C₇₃

—

#121×C₇₃

—

C₄×D₄×C₇₃

—

C₂×C₄²×C₇₃

—

C₂×C₄²×C₇₃

D₄

yes

characteristic

C₂×C₄²×C₇₃

D₄

yes

characteristic

C₂×C₄²×C₇₃

C₂³

yes

characteristic

C₄⋊C₈×C₇₃

—

#104×C₇₃

—

#104×C₇₃

—

C₂²×Dic₇₃

—

C₂×#10596831

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

#11924007

—

#41×C₇₃

—

#41×C₇₃

—

#41×C₇₃

—

#41×C₇₃

—

C₂×Q₈×C₇₃

—

C₂×D₄×C₇₃

—

C₂×D₄×C₇₃

—

C₂×D₄×C₇₃

—

C₂²×C₄×C₇₃

—

C₂²×C₄×C₇₃

—

C₂²×C₄×C₇₃

—

C₂²×C₄×C₇₃

C₂×D₄

yes

—

C₂²×C₄×C₇₃

C₂×D₄

yes

characteristic

M₁₆×C₇₃

—

M₁₆×C₇₃

—

C₂×C₈×C₇₃

—

C₄⋊C₄×C₇₃

—

C₂²⋊C₄×C₇₃

—

C₄²×C₇₃

—

C₄²×C₇₃

—

C₄²×C₇₃

—

C₄²×C₇₃

D₈

yes

—

C₄²×C₇₃

SD₁₆

yes

—

C₄²×C₇₃

C₂×Q₈

yes

characteristic

C₄²×C₇₃

#41

yes

—

C₄²×C₇₃

#41

yes

characteristic

C₂³×C₇₃

—

C₂³×C₇₃

#120

yes

characteristic

Q₈×C₇₃

—

Q₈×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

D₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

C₂²⋊Q₈

yes

—

C₂×C₄×C₇₃

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₇₃

#124

yes

—

C₂×C₄×C₇₃

#124

yes

characteristic

C₂×C₄×C₇₃

C₂×D₈

yes

characteristic

C₂×C₄×C₇₃

C₂×SD₁₆

yes

C₂×C₄×C₇₃

yes

C₂×C₄×C₇₃

yes

C₂×Dic₇₃

—

C₂×Dic₇₃

—

100

C₈×C₇₃

—

101

#10596831

—

102

C₂²×C₇₃

—

103

C₂²×C₇₃

—

104

C₂²×C₇₃

—

105

C₂²×C₇₃

#393

yes

characteristic

106

C₂²×C₇₃

#447

yes

characteristic

107

C₂²×C₇₃

#448

yes

characteristic

108

C₄×C₇₃

—

109

C₄×C₇₃

—

110

C₄×C₇₃

—

111

C₄×C₇₃

—

112

C₄×C₇₃

—

113

C₄×C₇₃

#474

yes

characteristic

114

C₄×C₇₃

#476

yes

characteristic

115

C₄×C₇₃

#486

yes

characteristic

116

C₄×C₇₃

#489

yes

characteristic

117

Dic₇₃

—

118

#10364

—

maximal, Sylow

119

C₂×C₇₃

—

120

C₂×C₇₃

—

121

C₂×C₇₃

—

122

C₂×C₇₃

#2023

yes

characteristic

123

C₂×C₇₃

#2031

yes

—

124

#2859

—

125

#1962

D₇₃

yes

characteristic

126

#1517

—

127

#1286

—

128

#1276

—

129

C₇₃

#10364

yes

characteristic, complemented, Sylow

130

#532

C₂×D₇₃

yes

characteristic

131

C₂×#125

—

146

—

132

#431

—

133

#423

C₂×D₇₃

yes

characteristic

134

C₂×#104

—

135

C₂×#104

—

136

#389

—

146

—

137

#384

—

146

—

138

#382

—

139

C₄³

C₂×D₇₃

yes

characteristic

140

#327

—

146

—

141

C₂×#41

—

142

C₂×M₁₆

—

143

C₄⋊Q₈

Dic₁₄₆

yes

characteristic

144

#127

Dic₁₄₆

yes

characteristic

145

#125

—

292

—

146

#125

—

292

—

147

#124

—

148

#121

—

149

C₄×D₄

—

150

C₂×C₄⋊C₄

—

146

—

151

C₂×C₄⋊C₄

—

146

—

152

C₂×C₄⋊C₄

—

146

—

153

C₂×C₄²

—

154

C₂×C₄²

C₂²⋊D₇₃

yes

characteristic

155

C₂×C₄²

C₂²⋊D₇₃

yes

characteristic

156

C₂×C₄²

C₂²×D₇₃

yes

characteristic

157

C₄⋊C₈

—

158

C₄⋊C₈

—

146

—

159

#104

—

160

#104

—

161

C₂²⋊C₈

—

146

—

162

C₄×C₈

—

146

—

163

#95

—

164

#95

—

146

—

165

#41

—

166

#41

—

167

#41

—

168

#41

—

169

C₂×Q₈

—

170

C₂×D₄

—

171

C₂×D₄

—

172

C₂×D₄

—

173

C₂²×C₄

—

174

C₂²×C₄

—

175

C₂²×C₄

—

176

C₂²×C₄

—

146

—

177

C₂²×C₄

D₄×D₇₃

yes

—

178

C₂²×C₄

C₂×C₂²⋊D₇₃

yes

characteristic

179

M₁₆

—

180

M₁₆

—

181

C₂×C₈

—

182

C₂×C₈

—

292

—

183

C₄⋊C₄

—

184

C₄⋊C₄

—

292

—

185

C₄⋊C₄

—

292

—

186

C₄⋊C₄

—

292

—

187

C₄⋊C₄

—

292

—

188

C₂²⋊C₄

—

189

C₄²

—

190

C₄²

—

191

C₄²

—

192

C₄²

#11924013

yes

—

193

C₄²

#11924016

yes

—

194

C₄²

C₂×Dic₁₄₆

yes

characteristic

195

C₄²

#11924027

yes

—

196

C₄²

#11924028

yes

characteristic

197

C₂³

—

198

C₂³

#14556559

yes

characteristic

199

Q₈

—

200

Q₈

—

201

D₄

—

202

D₄

—

203

D₄

—

204

D₄

—

205

D₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

292

—

215

C₂×C₄

—

292

—

216

C₂×C₄

#14556568

yes

—

217

C₂×C₄

#14556570

yes

characteristic

218

C₂×C₄

#14556577

yes

—

219

C₂×C₄

#14556578

yes

characteristic

220

C₂×C₄

C₂×#11924013

yes

characteristic

221

C₂×C₄

C₂×#11924016

yes

characteristic

222

C₂×C₄

#14556616

yes

characteristic

223

C₂×C₄

#14556621

yes

characteristic

224

C₈

—

225

C₈

—

584

—

226

C₂²

—

227

C₂²

—

228

C₂²

—

229

C₂²

#17988499

yes

characteristic

230

C₂²

#17988720

yes

characteristic

231

C₂²

#17988725

yes

characteristic

232

C₄

—

233

C₄

—

234

C₄

—

235

C₄

—

236

C₄

—

237

C₄

—

584

—

238

C₄

#17988867

yes

characteristic

239

C₄

#17988877

yes

characteristic

240

C₄

#17988933

yes

characteristic

241

C₄

#17988946

yes

characteristic

242

C₂

—

243

C₂

—

244

C₂

—

245

C₂

#22611067

yes

characteristic

246

C₂

#22611103

yes

—

	subgroup	G/H
center	C₂²	#17988499
commutator, cosocle	C₂×C₄²×C₇₃	C₂³
Frattini	C₂×C₄²	C₂²×D₇₃
Fitting	C₇₃×#1962	C₂
socle	C₂²×C₇₃	#393
prime radical	#532×C₇₃	C₂²
hypercenter	#1962	D₇₃
hypocenter	C₇₃	#10364
LCS	G ▷ C₂×C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1962

subgroup

G/H

center

C₂²

#17988499

commutator, cosocle

C₂×C₄²×C₇₃

C₂³

Frattini

C₂×C₄²

C₂²×D₇₃

Fitting

C₇₃×#1962

C₂

socle

C₂²×C₇₃

#393

prime radical

#532×C₇₃

C₂²

D₇₃

C₇₃

G ▷ C₂×C₄²×C₇₃ ▷ C₂²×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1962

N	H ≅ G/N	type
1. #22618294	C₂	semidirect
3. #22607791	C₂	semidirect
4. #22607764	C₂	semidirect
129. C₇₃	#10364	semidirect

H ≅ G/N

type

1. #22618294

C₂

semidirect

3. #22607791

C₂

semidirect

4. #22607764

C₂

semidirect

129. C₇₃

#10364

semidirect

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

subgroup	index
#22618294	2
#22608491	2
#22607791	2
#22607764	2
C₇₃×#1962	2
#10364	73

subgroup

index

C₇₃×#1962

Subgroups — #32989082

Conjugacy classes of subgroups

Complements

Maximal subgroups