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C₉×Dic₇₀₃ #38760864

order	25308
automorphism	?
homology	Abelianization (H₁) = C₄×C₉ · Schur multiplier (H₂) = C₁

Aliases

C₉×Dic₇₀₃

Splittings

derived, Hall	C₁₉×C₃₇ ⋊ C₄×C₉
Hall	C₉×C₁₉×C₃₇ ⋊ C₄
Hall	C₉×C₃₇ ⋊ Dic₁₉
Hall	C₉×C₁₉ ⋊ Dic₃₇
Sylow	C₃₇ ⋊ C₉×Dic₁₉
Sylow	C₁₉ ⋊ C₉×Dic₃₇

Subgroups

	subgroup	G/H
center, hypercenter	C₂×C₉	D₇₀₃
commutator, hypocenter	C₁₉×C₃₇	C₄×C₉
Frattini	C₂×C₃	C₃×D₇₀₃
Fitting	C₂×C₉×C₁₉×C₃₇	C₂
socle	C₂×C₃×C₁₉×C₃₇	C₂×C₃
LCS	G ▷ C₁₉×C₃₇
UCS	C₁ ◁ C₂×C₉

36 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

6354 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25308, 8);