C₂×C₄×#15690484 #37589975

order	24608
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#15690484
unambiguous semidirect product	D₇₆₉⋊C₄²

Fitting	C₂×C₄×C₇₆₉ ⋊ C₄
derived, Sylow	C₇₆₉ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 6152

1568 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24608, 222);