Finite Group Databasebeta

← Group #7272

Character table — Group #7272

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222222244444444888888888888888816161616
order12442224448888888844448888161616161616161616161616161616168888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ61111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ71111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ81111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ911-1-1-1-1111-111-1-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ1011-1-1-1-1111-111-1-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii
χ1111-1-1-1-1111-111-1-111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ1211-1-1-1-1111-111-1-111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iiii−ii−i
χ1311-1-1-1-1111-1-1-111-1-11111-1-1-1-111ii−i−i−i−iii11-1-1-1-111−iii−i
χ1411-1-1-1-1111-1-1-111-1-11111-1-1-1-111ii−i−i−i−iii-1-11111-1-1i−i−ii
χ1511-1-1-1-1111-1-1-111-1-11111-1-1-1-111−i−iiiii−i−i11-1-1-1-111i−i−ii
χ1611-1-1-1-1111-1-1-111-1-11111-1-1-1-111−i−iiiii−i−i-1-11111-1-1−iii−i
χ17222222222222-2-2-2-222-2-2-2-22-22-200000000000000000000
χ182222222222-2-22222-2-2-2-2-2-2-22-2200000000000000000000
χ1922222-2-22-2-20022220000000-20-200000000i2−i2i2−i2i2−i2i2−i20000
χ2022222-2-22-2-20022220000000-20-200000000−i2i2−i2i2−i2i2−i2i20000
χ2122222-2-22-2-200-2-2-2-20000000202000000002−22−2−22−220000
χ2222222-2-22-2-200-2-2-2-2000000020200000000−22−222−22−20000
χ232222-22-2-22-2220000220000-20-20i2−i2i2−i2i2−i2i2−i2000000000000
χ242222-22-2-22-2220000220000-20-20−i2i2−i2i2−i2i2−i2i2000000000000
χ252222-22-2-22-2-2-20000-2-2000020202−22−2−22−22000000000000
χ262222-22-2-22-2-2-20000-2-200002020−22−222−22−2000000000000
χ2722-2-22-2-2-222220000-2-20000-2020i2−i2−i2i2i2−i2−i2i2000000000000
χ2822-2-22-2-2-222220000-2-20000-2020−i2i2i2−i2−i2i2i2−i2000000000000
χ2922-2-22-2-2-222-2-2000022000020-202−2−22−222−2000000000000
χ3022-2-22-2-2-222-2-2000022000020-20−222−22−2−22000000000000
χ3122-2-2-22-22-220022-2-2000000020-200000000i2−i2−i2i2−i2i2i2−i20000
χ3222-2-2-22-22-220022-2-2000000020-200000000−i2i2i2−i2i2−i2−i2i20000
χ3322-2-2-22-22-2200-2-2220000000-202000000002−2−222−2−220000
χ3422-2-2-22-22-2200-2-2220000000-20200000000−222−2−222−20000
χ3522-2-2-2-2222-22222-2-2-2-2-2-2222-2-2200000000000000000000
χ3622-2-2-2-2222-2-2-2-2-22222-2-222-222-200000000000000000000
χ374444-4-44-4-44000000000000000000000000000000000000
χ3844-4-4444-4-4-4000000000000000000000000000000000000
χ394-44i−4i0000002i2−2i22i2−2i222−2222−222i−2i2-2000000000000000000000000
χ404-44i−4i0000002i2−2i2−2i22i2−222222−22−2i2i-22000000000000000000000000
χ414-44i−4i000000−2i22i22i2−2i222−22−2222−2i2i-22000000000000000000000000
χ424-44i−4i000000−2i22i2−2i22i2−2222−22222i−2i2-2000000000000000000000000
χ434-4−4i4i0000002i2−2i22i2−2i2−2222−2222−2i2i2-2000000000000000000000000
χ444-4−4i4i0000002i2−2i2−2i22i222−22−22222i−2i-22000000000000000000000000
χ454-4−4i4i000000−2i22i22i2−2i2−222222−222i−2i-22000000000000000000000000
χ464-4−4i4i000000−2i22i2−2i22i222−2222−22−2i2i2-2000000000000000000000000

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