Finite Group Databasebeta

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C2×C13×D153 #22547378

order7956
isoclinismisoclinic class of D153
automorphism?
homologyAbelianization (H1) = C22×C13 · Schur multiplier (H2) = C2

Aliases

direct productC2×C13×D153
unambiguous semidirect product(C2×C9)⋊(C13×D17)
unambiguous semidirect product(C2×C17)⋊(C13×D9)

Splittings

FittingC2×C9×C13×C17 ⋊ C2
derived, HallC9×C17 ⋊ C22×C13
HallC9×C13×C17 ⋊ C22
HallC13×C17 ⋊ C2×D9
HallC9×C13 ⋊ C2×D17
SylowC17 ⋊ C2×C13×D9
SylowC9 ⋊ C2×C13×D17

Subgroups

subgroupG/H
center, hypercenterC2×C13D153
commutator, hypocenterC9×C17C22×C13
FrattiniC3C2×C13×D51
FittingC2×C9×C13×C17C2
socleC2×C3×C13×C17D3
LCSG ▷ C9×C17
UCSC1 ◁ C2×C13

60 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2028 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7956, 50);