Finite Group Databasebeta

#2103×D67 #30885806

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

Aliases

direct product#2103×D67

Splittings

FittingC67×#2103 ⋊ C2
SylowC67 ⋊ C2×#2103

Subgroups

subgroupG/H
centerC4#124×D67
commutator, cosocleC22×C4×C67C24
FrattiniC22×C4C23×D67
FittingC67×#2103C2
socleC2×C67C2×#400
prime radicalC23×D67C2×Q8
hypercenter#2103D67
hypocenterC67C2×#2103
LCSG ▷ C22×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2103

662 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2144

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 199543);