#38734910

order	24896
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	H(5,𝔽₂)×C₃₈₉ ⋊ C₂
Sylow	C₃₈₉ ⋊ #577

258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.

normal subgroups only

This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.

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

μ_t(G) = 6224

Polycyclic presentation:

2^6,389|a^2=f,e^2=f,b^a=be,e^a=ef,g^a=g^388,e^b=ef,d^c=df

3320 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24896, 1360);