Finite Group Databasebeta

C2×D373⋊C16 #37560476

order23872
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productC2×D373⋊C16
unambiguous semidirect productD373⋊(C2×C16)

Splittings

derived, SylowC373 ⋊ C22×C16

Subgroups

subgroupG/H
center, hypercenterC2×C8#13093637
commutator, hypocenterC373C22×C16
FrattiniC4C22×#13093637
FittingC2×C8×C373C4
socleC22×C373C2×C8
prime radicalC22×D373C8
cosocle#15688412C23
LCSG ▷ C373
UCSC1 ◁ C2×C8

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11936

Conjugacy classes & character table

1552 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23872, 1603);