Finite Group Databasebeta

C2×(C2×D919)⋊C4 #44440730

order29408
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×(C2×D919)⋊C4

Splittings

FittingC22×C4×C919 ⋊ C2
SylowC919 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
centerC23C2×D919
commutatorC2×C919C22×C4
FrattiniC22C22×D919
FittingC22×C4×C919C2
socleC23×C919C22
prime radicalC23×D919C2
cosocleC22×C919C23
hypercenterC22×C4D919
hypocenterC919C2×C22⋊C4
LCSG ▷ C2×C919 ▷ C919
UCSC1 ◁ C23 ◁ C22×C4

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14704

Conjugacy classes & character table

7364 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29408, 97);