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Cayley diagramAliases
Subgroups
140 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 3 generators on 18 points:
(1,2,3,4,5,6,7,8);(9,10,11,12,13,14,15,16);(17,18)
Conjugacy classes & character table
128 conjugacy classes — view the full character table.
Relationships
| center of | #92895, C2×#7052, C8×#346, … |
| Frattini subgroup of | #92821, #92822, #92864, … |
| Fitting subgroup of | C2×C82⋊C3, #11710954, C2×#67992 |
| maximal subgroup of | #7136, #7138, #7151, … |
| maximal normal subgroup of | #7136, #7138, #7151, … |
| maximal quotient of | C4×C82, C2×#1273, #8131, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 179);
Finite Group Databasebeta