Finite Group Databasebeta

C2×Q8×D101 #15692294

order3232
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×Q8×D101

Splittings

FittingC2×Q8×C101 ⋊ C2
SylowC101 ⋊ C22×Q8

Subgroups

subgroupG/H
centerC22C22×D101
commutator, cosocleC2×C101C24
FrattiniC2C23×D101
FittingC2×Q8×C101C2
socleC22×C101C23
prime radicalC22×D101C22
hypercenterC2×Q8D101
hypocenterC101C22×Q8
LCSG ▷ C2×C101 ▷ C101
UCSC1 ◁ C22 ◁ C2×Q8

156 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1616

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3232, 185);