Finite Group Databasebeta

C2×Dic3788 #44476268

order30304
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic3788

Splittings

SylowC947 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22D3788
commutator, cosocleC4×C947C23
FrattiniC4C22×D947
FittingC2×C8×C947C2
socle, prime radicalC22×C947D4
hypercenterC2×C8D947
hypocenterC947C2×Q16
LCSG ▷ C4×C947 ▷ C2×C947 ▷ C947
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 30304

Conjugacy classes & character table

7582 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30304, 164);