Finite Group Databasebeta

C2×#15690756 #20261162

order6208
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#15690756

Splittings

SylowC97 ⋊ C2×Q32

Subgroups

subgroupG/H
centerC22#13095496
commutatorC8×C97C23
FrattiniC8C22×D97
FittingC2×Q16×C97C2
socleC22×C97D8
hypercenterC2×Q16D97
hypocenterC97C2×Q32
LCSG ▷ C8×C97 ▷ C4×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×Q16

82 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

694 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#27143592, C4×#15690756, #27143604, …
maximal normal subgroup of#27143592, C4×#15690756, #27143604, …
maximal quotient ofC2×#20260538, C2×#20260539, C2×#20260560, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 976);