#17988489

order	4672
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³×C₄

Aliases

No aliases for this group.

Fitting	C₂×C₄²×C₇₃ ⋊ C₂
Sylow	C₇₃ ⋊ #390

258 conjugacy classes of subgroups; only the 87 normal subgroups are shown.

normal subgroups only

This group has 258 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.

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

μ_t(G) = 2336

Polycyclic presentation:

2^6,73|a^2=f,b^2=df,c^2=e,b^a=bd,c^a=ce,g^a=g^72

1180 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4672, 451);