C₂²×#18011974 #34061306

order	19072
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×#18011974
unambiguous semidirect product	D₁₄₉⋊(C₂×#103)

Fitting	C₂²×Q₈×C₁₄₉ ⋊ C₄
Sylow	C₁₄₉ ⋊ C₂²×#103

816 conjugacy classes of subgroups; only the 258 normal subgroups are shown.

normal subgroups only

This group has 816 conjugacy classes of subgroups — too many to draw. Only its 258 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 4768

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19072, 21125);