Finite Group Databasebeta

#101×D97 #20260713

order6208
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#101×D97

Splittings

Fitting#101×C97 ⋊ C2
SylowC97 ⋊ C2×#101

Subgroups

subgroupG/H
centerC2C22⋊C4×D97
commutatorC22×C97C22×C4
FrattiniC2×C4C22×D97
Fitting#101×C97C2
socleC2×C97C2×C22⋊C4
hypercenter#101D97
hypocenterC97C2×#101
LCSG ▷ C22×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C2 ◁ C2×C4 ◁ #101

146 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

550 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#355×D97, #356×D97, #27143422, …
maximal normal subgroup of#355×D97, #356×D97, #27143422, …
maximal quotient of#324×D97, #27140058, #27140064, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 527);