Finite Group Databasebeta

C2×#103×D73 #22618419

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

Aliases

direct productC2×#103×D73

Splittings

FittingC2×#103×C73 ⋊ C2
SylowC73 ⋊ C22×#103

Subgroups

subgroupG/H
centerC23D4×D73
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC2×#103×C73C2
socleC23×C73C2×D4
hypercenterC2×#103D73
hypocenterC73C22×#103
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

816 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 ofC4×#103×D73, #1763×D73, #33083801, …
maximal normal subgroup ofC4×#103×D73, #1763×D73, #33083801, …
maximal quotient ofC2×Q8⋊C8×D73, #1487×D73, C2×#22608358, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 12998);