Finite Group Databasebeta

C4×#6883⋊C2 #14516012

order1944
isoclinismisoclinic class of #6883⋊C2
automorphism?
homologyAbelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2

Aliases

direct productC4×#6883⋊C2

Splittings

FittingC4×#6883 ⋊ C2
Sylow#6883 ⋊ C2×C4

Subgroups

subgroupG/H
center, hypercenterC4#6883⋊C2
commutator, hypocenter#732C2×C3×C4
FrattiniC2×C3×C9C2×C3×D3
FittingC4×#6883C2
socleC2×C3C2×#4178
prime radicalC2×#4185C2×C3
cosocleC2×#732C22×C3
LCSG ▷ #732
UCSC1 ◁ C4

121 conjugacy classes of subgroups; only the 31 normal subgroups are shown.

normal subgroups only

This group has 121 conjugacy classes of subgroups — too many to draw. Only its 31 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Full subgroup data →

Presentation

transitive degreeμt(G) = 108

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 406);