Finite Group Databasebeta

C2×#17988704 #22618821

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#17988704

Splittings

SylowC73 ⋊ C2×#443

Subgroups

subgroupG/H
centerC2×C4D4×D73
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC2×#135×C73C2
socleC22×C73C4×D4
hypercenterC2×#135D73
hypocenterC73C2×#443
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#135

472 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1064 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#33001221, #33001223, #33001228, …
maximal normal subgroup of#33001221, #33001223, #33001228, …
maximal quotient ofC2×D8×#10596831, C2×SD16×#10596831, C2×Q16×#10596831, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13400);