Finite Group Databasebeta

C2×#17988602 #22618471

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC2×#17988602

Splittings

FittingC2×#104×C73 ⋊ C2
SylowC73 ⋊ C2×#421

Subgroups

subgroupG/H
centerC2×C4D4×D73
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC2×#104×C73C2
socleC22×C73C2×C22⋊C4
hypercenterC2×#104D73
hypocenterC73C2×#421
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×#104

772 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1052 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC4×#17988602, #33083706, #33083711, …
maximal normal subgroup ofC4×#17988602, #33083706, #33083711, …
maximal quotient ofC2×#22608320, C2×#22608324, C2×#22608315, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13050);