Finite Group Databasebeta

#107×C11⋊C8 #14645004

order2816
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct product#107×C11⋊C8

Splittings

SylowC11 ⋊ C8×#107

Subgroups

subgroupG/H
centerC22×C4D4×D11
commutatorC4×C11C2×C4×C8
FrattiniC2×C42C22×D11
FittingC4×C11×#107C2
socle, prime radicalC23×C11C4×D4
cosocleC2×C42×C11C23
hypercenterC4×#107D11
hypocenterC11C8×#107
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#107

446 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2816

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 60799);