C₂×C₄×(C₂²⋊D₇₉)⋊C₄ #34446458

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

Fitting	C₂×C₄×C₂²⋊C₄×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂×C₄²×D₄

5694 conjugacy classes of subgroups.

μ_t(G) = 10112

3280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 327757);