C₂×C₄×#15690044 #37564463

order	24224
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

direct product	C₂×C₄×#15690044
unambiguous semidirect product	D₇₅₇⋊C₄²

Fitting	C₂×C₄×C₇₅₇ ⋊ C₄
derived, Sylow	C₇₅₇ ⋊ C₂×C₄²

108 conjugacy classes of subgroups.

μ_t(G) = 6056

1544 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24224, 222);