Group #41034189 — subgroups

Subgroups — C₁₀₇×#8225 #41034189

Order 27392.

444 conjugacy classes of subgroups; only the 178 normal subgroups are shown.

normal subgroups only

This group has 444 conjugacy classes of subgroups — too many to draw. Only its 178 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	C₄×#125×C₁₀₇	C₂	1	1	yes	maximal, characteristic
2	C₁₀₇×#1745	C₂	1	2	yes	maximal
3	C₂×#330×C₁₀₇	C₂	1	2	yes	maximal
4	C₁₀₇×#1295	C₂	1	2	yes	maximal
5	C₂×#125×C₁₀₇	C₂²	1	1	yes	characteristic
6	C₂×#97×C₁₀₇	C₂²	1	4	yes	—
7	#389×C₁₀₇	C₄	1	2	yes	—
8	#387×C₁₀₇	—	2	2	no	—
9	#382×C₁₀₇	C₂²	1	1	yes	characteristic
10	C₄×C₄⋊C₄×C₁₀₇	—	2	2	no	—
11	C₄×C₄⋊C₄×C₁₀₇	C₄	1	2	yes	—
12	C₄³×C₁₀₇	C₂²	1	1	yes	characteristic
13	#336×C₁₀₇	—	2	2	no	—
14	#336×C₁₀₇	—	2	2	no	—
15	#330×C₁₀₇	C₄	1	8	yes	complemented
16	C₂²×C₈×C₁₀₇	—	2	4	no	—
17	#125×C₁₀₇	—	2	2	no	—
18	#125×C₁₀₇	C₂×C₄	1	4	yes	—
19	C₂×C₄⋊C₄×C₁₀₇	—	2	2	no	—
20	C₂×C₄⋊C₄×C₁₀₇	—	2	2	no	—
21	C₂×C₄⋊C₄×C₁₀₇	C₂×C₄	1	2	yes	—
22	C₂×C₄⋊C₄×C₁₀₇	C₂×C₄	1	2	yes	—
23	C₂×C₄²×C₁₀₇	—	2	2	no	—
24	C₂×C₄²×C₁₀₇	C₂×C₄	1	1	yes	characteristic
25	C₂×C₄²×C₁₀₇	C₂×C₄	1	1	yes	characteristic
26	C₂×C₄²×C₁₀₇	D₄	1	2	yes	—
27	C₂×C₄²×C₁₀₇	D₄	1	2	yes	—
28	C₂×C₄²×C₁₀₇	C₂³	1	1	yes	characteristic
29	#97×C₁₀₇	—	2	4	no	—
30	#97×C₁₀₇	C₂×C₄	1	8	yes	—
31	#95×C₁₀₇	—	2	2	no	—
32	#95×C₁₀₇	—	2	2	no	—
33	#95×C₁₀₇	—	2	2	no	—
34	C₂²×C₄×C₁₀₇	—	2	2	no	—
35	C₂²×C₄×C₁₀₇	—	2	2	no	—
36	C₂²×C₄×C₁₀₇	C₂²⋊C₄	1	1	yes	characteristic
37	C₂²×C₄×C₁₀₇	C₂²⋊C₄	1	2	yes	—
38	C₂²×C₄×C₁₀₇	C₂²⋊C₄	1	1	yes	characteristic
39	C₂²×C₄×C₁₀₇	C₂²×C₄	1	1	yes	characteristic
40	C₂²×C₄×C₁₀₇	C₂×D₄	1	2	yes	—
41	C₂×C₈×C₁₀₇	—	2	8	no	—
42	C₂×C₈×C₁₀₇	—	4	4	no	—
43	C₂×C₈×C₁₀₇	—	4	4	no	—
44	C₄⋊C₄×C₁₀₇	—	2	2	no	—
45	C₄⋊C₄×C₁₀₇	—	2	8	no	—
46	C₄⋊C₄×C₁₀₇	—	4	2	no	—
47	C₄⋊C₄×C₁₀₇	—	4	4	no	—
48	C₄⋊C₄×C₁₀₇	C₄²	1	4	yes	—
49	C₄²×C₁₀₇	—	2	2	no	—
50	C₄²×C₁₀₇	—	4	1	no	—
51	C₄²×C₁₀₇	—	4	2	no	—
52	C₄²×C₁₀₇	—	4	2	no	—
53	C₄²×C₁₀₇	—	4	4	no	—
54	C₄²×C₁₀₇	C₂²×C₄	1	2	yes	—
55	C₄²×C₁₀₇	#41	1	2	yes	—
56	C₂³×C₁₀₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
57	C₂×C₄×C₁₀₇	—	2	1	no	—
58	C₂×C₄×C₁₀₇	—	2	1	no	—
59	C₂×C₄×C₁₀₇	—	2	2	no	—
60	C₂×C₄×C₁₀₇	—	2	2	no	—
61	C₂×C₄×C₁₀₇	—	2	2	no	—
62	C₂×C₄×C₁₀₇	—	2	4	no	—
63	C₂×C₄×C₁₀₇	—	2	1	no	—
64	C₂×C₄×C₁₀₇	—	2	2	no	—
65	C₂×C₄×C₁₀₇	—	2	2	no	—
66	C₂×C₄×C₁₀₇	—	2	2	no	—
67	C₂×C₄×C₁₀₇	—	2	2	no	—
68	C₂×C₄×C₁₀₇	—	4	2	no	—
69	C₂×C₄×C₁₀₇	—	4	2	no	—
70	C₂×C₄×C₁₀₇	—	4	2	no	—
71	C₂×C₄×C₁₀₇	—	4	2	no	—
72	C₂×C₄×C₁₀₇	—	4	2	no	—
73	C₂×C₄×C₁₀₇	#101	1	2	yes	—
74	C₂×C₄×C₁₀₇	C₂×C₄²	1	1	yes	characteristic
75	C₂×C₄×C₁₀₇	#117	1	1	yes	characteristic
76	C₂×C₄×C₁₀₇	C₄×D₄	1	4	yes	—
77	C₈×C₁₀₇	—	4	8	no	—
78	C₂²×C₁₀₇	C₄×C₂²⋊C₄	1	1	yes	characteristic
79	C₂²×C₁₀₇	C₂×#101	1	1	yes	characteristic
80	C₂²×C₁₀₇	#413	1	1	yes	characteristic
81	C₂²×C₁₀₇	#421	1	2	yes	—
82	C₂²×C₁₀₇	#421	1	2	yes	—
83	C₄×C₁₀₇	—	2	1	no	—
84	C₄×C₁₀₇	—	2	1	no	—
85	C₄×C₁₀₇	—	2	4	no	—
86	C₄×C₁₀₇	—	2	2	no	—
87	C₄×C₁₀₇	—	4	1	no	—
88	C₄×C₁₀₇	—	4	4	no	—
89	C₄×C₁₀₇	—	4	2	no	—
90	C₄×C₁₀₇	—	8	2	no	—
91	#8225	C₁₀₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
92	C₂×C₁₀₇	#1534	1	1	yes	characteristic
93	C₂×C₁₀₇	#1535	1	2	yes	—
94	C₂×C₁₀₇	#1537	1	1	yes	characteristic
95	C₂×C₁₀₇	C₄×#101	1	1	yes	characteristic
96	C₂×C₁₀₇	#1759	1	2	yes	—
97	C₄×#125	C₂×C₁₀₇	1	1	yes	characteristic
98	#1745	C₂×C₁₀₇	1	2	yes	—
99	C₂×#330	C₂×C₁₀₇	1	2	yes	—
100	#1295	C₂×C₁₀₇	1	2	yes	—
101	C₁₀₇	#8225	1	1	yes	characteristic, direct product factor, Sylow
102	C₂×#125	C₂²×C₁₀₇	1	1	yes	characteristic
103	C₂×#97	C₂²×C₁₀₇	1	4	yes	—
104	#389	C₄×C₁₀₇	1	2	yes	—
105	#387	—	2	2	no	—
106	#382	C₂²×C₁₀₇	1	1	yes	characteristic
107	C₄×C₄⋊C₄	—	2	2	no	—
108	C₄×C₄⋊C₄	C₄×C₁₀₇	1	2	yes	—
109	C₄³	C₂²×C₁₀₇	1	1	yes	characteristic
110	#336	—	2	2	no	—
111	#336	—	2	2	no	—
112	#330	C₄×C₁₀₇	1	8	yes	complemented
113	C₂²×C₈	—	2	4	no	—
114	#125	—	2	2	no	—
115	#125	C₂×C₄×C₁₀₇	1	4	yes	—
116	C₂×C₄⋊C₄	—	2	2	no	—
117	C₂×C₄⋊C₄	—	2	2	no	—
118	C₂×C₄⋊C₄	C₂×C₄×C₁₀₇	1	2	yes	—
119	C₂×C₄⋊C₄	C₂×C₄×C₁₀₇	1	2	yes	—
120	C₂×C₄²	—	2	2	no	—
121	C₂×C₄²	C₂×C₄×C₁₀₇	1	1	yes	characteristic
122	C₂×C₄²	C₂×C₄×C₁₀₇	1	1	yes	characteristic
123	C₂×C₄²	D₄×C₁₀₇	1	2	yes	—
124	C₂×C₄²	D₄×C₁₀₇	1	2	yes	—
125	C₂×C₄²	C₂³×C₁₀₇	1	1	yes	characteristic
126	#97	—	2	4	no	—
127	#97	C₂×C₄×C₁₀₇	1	8	yes	—
128	#95	—	2	2	no	—
129	#95	—	2	2	no	—
130	#95	—	2	2	no	—
131	C₂²×C₄	—	2	2	no	—
132	C₂²×C₄	—	2	2	no	—
133	C₂²×C₄	C₂²⋊C₄×C₁₀₇	1	1	yes	characteristic
134	C₂²×C₄	C₂²⋊C₄×C₁₀₇	1	2	yes	—
135	C₂²×C₄	C₂²⋊C₄×C₁₀₇	1	1	yes	characteristic
136	C₂²×C₄	C₂²×C₄×C₁₀₇	1	1	yes	characteristic
137	C₂²×C₄	C₂×D₄×C₁₀₇	1	2	yes	—
138	C₂×C₈	—	2	8	no	—
139	C₂×C₈	—	4	4	no	—
140	C₂×C₈	—	4	4	no	—
141	C₄⋊C₄	—	2	2	no	—
142	C₄⋊C₄	—	2	8	no	—
143	C₄⋊C₄	—	4	2	no	—
144	C₄⋊C₄	—	4	4	no	—
145	C₄⋊C₄	C₄²×C₁₀₇	1	4	yes	—
146	C₄²	—	2	2	no	—
147	C₄²	—	4	1	no	—
148	C₄²	—	4	2	no	—
149	C₄²	—	4	2	no	—
150	C₄²	—	4	4	no	—
151	C₄²	C₂²×C₄×C₁₀₇	1	2	yes	—
152	C₄²	#41×C₁₀₇	1	2	yes	—
153	C₂³	C₂×C₂²⋊C₄×C₁₀₇	1	1	yes	characteristic
154	C₂×C₄	—	2	1	no	—
155	C₂×C₄	—	2	1	no	—
156	C₂×C₄	—	2	2	no	—
157	C₂×C₄	—	2	2	no	—
158	C₂×C₄	—	2	2	no	—
159	C₂×C₄	—	2	4	no	—
160	C₂×C₄	—	2	1	no	—
161	C₂×C₄	—	2	2	no	—
162	C₂×C₄	—	2	2	no	—
163	C₂×C₄	—	2	2	no	—
164	C₂×C₄	—	2	2	no	—
165	C₂×C₄	—	4	2	no	—
166	C₂×C₄	—	4	2	no	—
167	C₂×C₄	—	4	2	no	—
168	C₂×C₄	—	4	2	no	—
169	C₂×C₄	—	4	2	no	—
170	C₂×C₄	#101×C₁₀₇	1	2	yes	—
171	C₂×C₄	C₂×C₄²×C₁₀₇	1	1	yes	characteristic
172	C₂×C₄	#117×C₁₀₇	1	1	yes	characteristic
173	C₂×C₄	C₄×D₄×C₁₀₇	1	4	yes	—
174	C₈	—	4	8	no	—
175	C₂²	C₄×C₂²⋊C₄×C₁₀₇	1	1	yes	characteristic
176	C₂²	C₂×#101×C₁₀₇	1	1	yes	characteristic
177	C₂²	#413×C₁₀₇	1	1	yes	characteristic
178	C₂²	#421×C₁₀₇	1	2	yes	—
179	C₂²	#421×C₁₀₇	1	2	yes	—
180	C₄	—	2	1	no	—
181	C₄	—	2	1	no	—
182	C₄	—	2	4	no	—
183	C₄	—	2	2	no	—
184	C₄	—	4	4	no	—
185	C₄	—	4	2	no	—
186	C₄	—	4	1	no	—
187	C₄	—	8	2	no	—
188	C₂	C₁₀₇×#1534	1	1	yes	characteristic
189	C₂	C₁₀₇×#1535	1	2	yes	—
190	C₂	C₁₀₇×#1537	1	1	yes	characteristic
191	C₂	C₄×#101×C₁₀₇	1	1	yes	characteristic
192	C₂	C₁₀₇×#1759	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₄×#125×C₁₀₇

C₂

yes

maximal, characteristic

C₁₀₇×#1745

C₂

yes

maximal

C₂×#330×C₁₀₇

C₂

yes

maximal

C₁₀₇×#1295

C₂

yes

maximal

C₂×#125×C₁₀₇

C₂²

yes

characteristic

C₂×#97×C₁₀₇

C₂²

yes

—

#389×C₁₀₇

C₄

yes

—

#387×C₁₀₇

—

#382×C₁₀₇

C₂²

yes

characteristic

C₄×C₄⋊C₄×C₁₀₇

—

C₄×C₄⋊C₄×C₁₀₇

C₄

yes

—

C₄³×C₁₀₇

C₂²

yes

characteristic

#336×C₁₀₇

—

#336×C₁₀₇

—

#330×C₁₀₇

C₄

yes

complemented

C₂²×C₈×C₁₀₇

—

#125×C₁₀₇

—

#125×C₁₀₇

C₂×C₄

yes

—

C₂×C₄⋊C₄×C₁₀₇

—

C₂×C₄⋊C₄×C₁₀₇

—

C₂×C₄⋊C₄×C₁₀₇

C₂×C₄

yes

—

C₂×C₄⋊C₄×C₁₀₇

C₂×C₄

yes

—

C₂×C₄²×C₁₀₇

—

C₂×C₄²×C₁₀₇

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₀₇

C₂×C₄

yes

characteristic

C₂×C₄²×C₁₀₇

D₄

yes

—

C₂×C₄²×C₁₀₇

D₄

yes

—

C₂×C₄²×C₁₀₇

C₂³

yes

characteristic

#97×C₁₀₇

—

#97×C₁₀₇

C₂×C₄

yes

—

#95×C₁₀₇

—

#95×C₁₀₇

—

#95×C₁₀₇

—

C₂²×C₄×C₁₀₇

—

C₂²×C₄×C₁₀₇

—

C₂²×C₄×C₁₀₇

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₀₇

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₀₇

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₁₀₇

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₀₇

C₂×D₄

yes

—

C₂×C₈×C₁₀₇

—

C₂×C₈×C₁₀₇

—

C₂×C₈×C₁₀₇

—

C₄⋊C₄×C₁₀₇

—

C₄⋊C₄×C₁₀₇

—

C₄⋊C₄×C₁₀₇

—

C₄⋊C₄×C₁₀₇

—

C₄⋊C₄×C₁₀₇

C₄²

yes

—

C₄²×C₁₀₇

—

C₄²×C₁₀₇

—

C₄²×C₁₀₇

—

C₄²×C₁₀₇

—

C₄²×C₁₀₇

—

C₄²×C₁₀₇

C₂²×C₄

yes

—

C₄²×C₁₀₇

#41

yes

—

C₂³×C₁₀₇

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

—

C₂×C₄×C₁₀₇

#101

yes

—

C₂×C₄×C₁₀₇

C₂×C₄²

yes

characteristic

C₂×C₄×C₁₀₇

#117

yes

characteristic

C₂×C₄×C₁₀₇

C₄×D₄

yes

—

C₈×C₁₀₇

—

C₂²×C₁₀₇

C₄×C₂²⋊C₄

yes

C₂²×C₁₀₇

yes

C₂²×C₁₀₇

yes

C₂²×C₁₀₇

yes

—

C₂²×C₁₀₇

#421

yes

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

C₄×C₁₀₇

—

#8225

C₁₀₇

yes

maximal, characteristic, direct product factor, Sylow

C₂×C₁₀₇

#1534

yes

characteristic

C₂×C₁₀₇

#1535

yes

—

C₂×C₁₀₇

yes

C₂×C₁₀₇

yes

C₂×C₁₀₇

yes

—

C₄×#125

C₂×C₁₀₇

yes

characteristic

#1745

C₂×C₁₀₇

yes

—

C₂×#330

C₂×C₁₀₇

yes

—

100

#1295

C₂×C₁₀₇

yes

—

101

C₁₀₇

#8225

yes

characteristic, direct product factor, Sylow

102

C₂×#125

C₂²×C₁₀₇

yes

characteristic

103

C₂×#97

C₂²×C₁₀₇

yes

—

104

#389

C₄×C₁₀₇

yes

—

105

#387

—

106

#382

C₂²×C₁₀₇

yes

characteristic

107

C₄×C₄⋊C₄

—

108

C₄×C₄⋊C₄

C₄×C₁₀₇

yes

—

109

C₄³

C₂²×C₁₀₇

yes

characteristic

110

#336

—

111

#336

—

112

#330

C₄×C₁₀₇

yes

complemented

113

C₂²×C₈

—

114

#125

—

115

#125

C₂×C₄×C₁₀₇

yes

—

116

C₂×C₄⋊C₄

—

117

C₂×C₄⋊C₄

—

118

C₂×C₄⋊C₄

C₂×C₄×C₁₀₇

yes

—

119

C₂×C₄⋊C₄

C₂×C₄×C₁₀₇

yes

—

120

C₂×C₄²

—

121

C₂×C₄²

C₂×C₄×C₁₀₇

yes

characteristic

122

C₂×C₄²

C₂×C₄×C₁₀₇

yes

characteristic

123

C₂×C₄²

D₄×C₁₀₇

yes

—

124

C₂×C₄²

D₄×C₁₀₇

yes

—

125

C₂×C₄²

C₂³×C₁₀₇

yes

characteristic

126

#97

—

127

#97

C₂×C₄×C₁₀₇

yes

—

128

#95

—

129

#95

—

130

#95

—

131

C₂²×C₄

—

132

C₂²×C₄

—

133

C₂²×C₄

C₂²⋊C₄×C₁₀₇

yes

characteristic

134

C₂²×C₄

C₂²⋊C₄×C₁₀₇

yes

—

135

C₂²×C₄

C₂²⋊C₄×C₁₀₇

yes

characteristic

136

C₂²×C₄

C₂²×C₄×C₁₀₇

yes

characteristic

137

C₂²×C₄

C₂×D₄×C₁₀₇

yes

—

138

C₂×C₈

—

139

C₂×C₈

—

140

C₂×C₈

—

141

C₄⋊C₄

—

142

C₄⋊C₄

—

143

C₄⋊C₄

—

144

C₄⋊C₄

—

145

C₄⋊C₄

C₄²×C₁₀₇

yes

—

146

C₄²

—

147

C₄²

—

148

C₄²

—

149

C₄²

—

150

C₄²

—

151

C₄²

C₂²×C₄×C₁₀₇

yes

—

152

C₄²

#41×C₁₀₇

yes

—

153

C₂³

C₂×C₂²⋊C₄×C₁₀₇

yes

characteristic

154

C₂×C₄

—

155

C₂×C₄

—

156

C₂×C₄

—

157

C₂×C₄

—

158

C₂×C₄

—

159

C₂×C₄

—

160

C₂×C₄

—

161

C₂×C₄

—

162

C₂×C₄

—

163

C₂×C₄

—

164

C₂×C₄

—

165

C₂×C₄

—

166

C₂×C₄

—

167

C₂×C₄

—

168

C₂×C₄

—

169

C₂×C₄

—

170

C₂×C₄

#101×C₁₀₇

yes

—

171

C₂×C₄

C₂×C₄²×C₁₀₇

yes

characteristic

172

C₂×C₄

#117×C₁₀₇

yes

characteristic

173

C₂×C₄

C₄×D₄×C₁₀₇

yes

—

174

C₈

—

175

C₂²

C₄×C₂²⋊C₄×C₁₀₇

yes

characteristic

176

C₂²

C₂×#101×C₁₀₇

yes

characteristic

177

C₂²

#413×C₁₀₇

yes

characteristic

178

C₂²

#421×C₁₀₇

yes

—

179

C₂²

#421×C₁₀₇

yes

—

180

C₄

—

181

C₄

—

182

C₄

—

183

C₄

—

184

C₄

—

185

C₄

—

186

C₄

—

187

C₄

—

188

C₂

C₁₀₇×#1534

yes

characteristic

189

C₂

C₁₀₇×#1535

yes

—

190

C₂

C₁₀₇×#1537

yes

characteristic

191

C₂

C₄×#101×C₁₀₇

yes

characteristic

192

C₂

C₁₀₇×#1759

yes

—

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₀₇	C₂×C₂²⋊C₄
commutator	C₂×C₄	C₂×C₄²×C₁₀₇
Frattini, cosocle	C₂×C₄²	C₂³×C₁₀₇
LCS	G ▷ C₂×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₀₇ ◁ C₄³×C₁₀₇ ◁ G

subgroup

G/H

center, socle, prime radical

C₂³×C₁₀₇

C₂×C₂²⋊C₄

commutator

C₂×C₄

C₂×C₄²×C₁₀₇

Frattini, cosocle

C₂×C₄²

C₂³×C₁₀₇

LCS

G ▷ C₂×C₄ ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂³×C₁₀₇ ◁ C₄³×C₁₀₇ ◁ G

N	H ≅ G/N	type
15. #330×C₁₀₇	C₄	semidirect
91. #8225	C₁₀₇	direct (N × H)
101. C₁₀₇	#8225	direct (N × H)
112. #330	C₄×C₁₀₇	semidirect

H ≅ G/N

type

15. #330×C₁₀₇

C₄

semidirect

91. #8225

C₁₀₇

direct (N × H)

101. C₁₀₇

#8225

direct (N × H)

112. #330

C₄×C₁₀₇

semidirect

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

subgroup	index
C₄×#125×C₁₀₇	2
C₁₀₇×#1745	2
C₂×#330×C₁₀₇	2
C₁₀₇×#1295	2
#8225	107

subgroup

index

C₄×#125×C₁₀₇

C₁₀₇×#1745

C₂×#330×C₁₀₇

C₁₀₇×#1295

#8225

107

Subgroups — C₁₀₇×#8225 #41034189

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C107×#8225 #41034189

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₇×#8225 #41034189