Finite Group Databasebeta

← Group #72340825

Character table — Group #72340825

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size11336681212121212121224242424484848484848484848484848489696128128128128
order1222442444444422442444488888888883666
χ11111111111111111111111111111111111111
χ2111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ31111-1-1-1-1-1-1-1-11111111-1-1-111111-1-1-1-11-111-1-1
χ41111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-11111-1111-1-1
χ5222222222222222222000200000000000-1-1-1-1
χ62222-2-2-2-2-2-2-2-2222222000-200000000000-1-111
χ7333311-311-3-31-1-1-1-13-11-1-11111-1-111-1-1-110000
χ8333311-311-3-31-1-1-1-13-1-1111-1-1-111-1-1111-10000
χ9333311-3-3-3111-1-1-1-1-131-1-111-1-111-1-111-110000
χ10333311-3-3-3111-1-1-1-1-13-1111-111-1-111-1-11-10000
χ113333333-1-1-1-1333-1-1-1-1111-11-1-1-1-1-1-1-1-1110000
χ123333333-1-1-1-1333-1-1-1-1-1-1-1-1-111111111-1-10000
χ133333-3-3-31111-333-1-1-1-11-1-111-1-1-1-111111-10000
χ143333-3-3-31111-333-1-1-1-1-1111-11111-1-1-1-1-110000
χ153333-1-1333-1-1-1-1-1-1-1-13111-11-1-11111-1-1-1-10000
χ163333-1-1333-1-1-1-1-1-1-1-13-1-1-1-1-111-1-1-1-111110000
χ173333-1-13-1-133-1-1-1-1-13-1111-1111-1-1-1-111-1-10000
χ183333-1-13-1-133-1-1-1-1-13-1-1-1-1-1-1-1-11111-1-1110000
χ19666622-622222-2-222-2-2000-2000000000000000
χ206666-2-26-2-2-2-2-2-2-222-2-20002000000000000000
χ216-62-24i−4i02i−2i2i−2i02-22-200000002−22−2−i2i2−i2i2000000
χ226-62-24i−4i02i−2i2i−2i02-22-20000000−22−22i2−i2i2−i2000000
χ236-62-24i−4i0−2i2i−2i2i02-2-2200000002−2−22−i2i2i2−i2000000
χ246-62-24i−4i0−2i2i−2i2i02-2-220000000−222−2i2−i2−i2i2000000
χ256-62-2−4i4i02i−2i2i−2i02-2-2200000002−2−22i2−i2−i2i2000000
χ266-62-2−4i4i02i−2i2i−2i02-2-220000000−222−2−i2i2i2−i2000000
χ276-62-2−4i4i0−2i2i−2i2i02-22-200000002−22−2i2−i2i2−i2000000
χ286-62-2−4i4i0−2i2i−2i2i02-22-20000000−22−22−i2i2−i2i2000000
χ298-8-88000000000000000000000000000002-200
χ308-8-8800000000000000000000000000000-11−i3i3
χ318-8-8800000000000000000000000000000-11i3−i3
χ321212-4-44400000-400000022-20-200000000000000
χ331212-4-44400000-4000000-2-220200000000000000
χ341212-4-4-4-40000040000002-220-200000000000000
χ351212-4-4-4-4000004000000-22-20200000000000000
χ3612-124-40004i−4i−4i4i0-4400000000000000000000000
χ3712-124-4000−4i4i4i−4i0-4400000000000000000000000

Here i is the imaginary unit (i² = −1).