Finite Group Databasebeta

C2×#17988588 #22618443

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

Aliases

direct productC2×#17988588

Splittings

SylowC73 ⋊ C2×#417

Subgroups

subgroupG/H
centerC23C2×C22⋊D73
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC22×#41×C73C2
socleC23×C73C2×D4
hypercenterC22×#41D73
hypocenterC73C2×#417
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#41

816 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1484 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32991458, #32991460, #32991501, …
maximal normal subgroup of#32991458, #32991460, #32991501, …
maximal quotient ofC2×#22608318, C2×#22608370, #33052445, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13022);