C₂³×#14579123 #35194833

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁵

Aliases

Fitting	C₂³×C₄⋊C₄×C₇₉ ⋊ C₂
Sylow	C₇₉ ⋊ C₂³×C₄×D₄

19998 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, 1076132);