Finite Group Databasebeta

C2×Dic3748 #44472268

order29984
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3748

Splittings

SylowC937 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22D3748
commutator, cosocleC4×C937C23
FrattiniC4C22×D937
FittingC2×C8×C937C2
socle, prime radicalC22×C937D4
hypercenterC2×C8D937
hypocenterC937C2×Q16
LCSG ▷ C4×C937 ▷ C2×C937 ▷ C937
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 29984

Conjugacy classes & character table

7502 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29984, 164);