Finite Group Databasebeta

#2383×D67 #31018488

order17152
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct product#2383×D67

Splittings

FittingC67×#2383 ⋊ C2
SylowC67 ⋊ C2×#2383

Subgroups

subgroupG/H
center, FrattiniC23C24×D67
commutatorC22×C67C24×C4
FittingC67×#2383C2
socle, cosocleC23×C67C25
prime radicalC24×D67C23
hypercenter#2383D67
hypocenterC67C2×#2383
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C23 ◁ #2383

2502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4288

Conjugacy classes & character table

1330 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 332225);