Finite Group Databasebeta

← Group #72262780

Character table — Group #72262780

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size111122222244448888888888888888888888881616161616161616161616161616161616161616161632323232323264646464
order1222222222444422222222444444444444444422244444444444444444444488884488
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111111-1-111
χ51111111111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1111111-1-1
χ91111111111-1-111-1-11111111-111111111111111-11-11-11-1-11-111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-111-1-11111111-111111111111111-1-11-11-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-11-11
χ111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-11-111-1-1111111-1-11-1-1-1111-1-11
χ121111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1-1111-1-1111111-1-11-111-1-1-111-1
χ131111111111-1-111-1-1-1-1-1-1111-11111-1-1-1-1111111-11-11-11-1-11-1-1-11111-1-1-1-1-1-11111-1-1-11-11
χ141111111111-1-111-1-1-1-1-1-1111-11111-1-1-1-1111111-1-11-11-11-1-11-1-11111-1-1-1-1-1-111-1-1111-11-1
χ151111111111-1-111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-11-11-11-1-11-1-1-111-1-1111111-11-1-111-111-1
χ161111111111-1-111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-11-11-11-1-11-1-111-1-1111111-1111-1-11-1-11
χ1722222222222222220000-2-22222220000-2-2-2-2-2-2-2000000-20000000022-2-2000000000000
χ1822222222222222220000-2-222-2-2-2-200002222-2-2-2000000-200000000-2-222000000000000
χ19222222222222-2-2-2-20000-2-2-2200002222000022-20000002000000220000-2-2-2000000000
χ20222222222222-2-2-2-20000-2-2-220000-2-2-2-2000022-20000002000000-2-20000222000000000
χ21222222222222-2-2-2-2222222-22000000000000-2-22000000-200-2-222000000000-200000000
χ22222222222222-2-2-2-2-2-2-2-222-22000000000000-2-22000000-20022-2-2000000000200000000
χ232222222222-2-222-2-20000-2-22-222220000-2-2-2-2-2-22000000200000000-2-222000000000000
χ242222222222-2-222-2-20000-2-22-2-2-2-2-200002222-2-2200000020000000022-2-2000000000000
χ252222222222-2-2-2-2220000-2-2-2-2000022220000222000000-2000000-2-20000-2-22000000000
χ262222222222-2-2-2-2220000-2-2-2-20000-2-2-2-20000222000000-200000022000022-2000000000
χ272222222222-2-2-2-222222222-2-2000000000000-2-2-2000000200-2-2-2-2000000000200000000
χ282222222222-2-2-2-222-2-2-2-222-2-2000000000000-2-2-20000002002222000000000-200000000
χ29222222-2-2-2-200-2-20000002-2202i2i−2i−2i00002i2i−2i−2i2-2002020-200-200000000000000002i−2i0000
χ30222222-2-2-2-200-2-20000002-2202i2i−2i−2i00002i2i−2i−2i2-200-20-2020020000000000000000−2i2i0000
χ31222222-2-2-2-200-2-20000002-220−2i−2i2i2i0000−2i−2i2i2i2-2002020-200-20000000000000000−2i2i0000
χ32222222-2-2-2-200-2-20000002-220−2i−2i2i2i0000−2i−2i2i2i2-200-20-20200200000000000000002i−2i0000
χ33222222-2-2-2-200-2-2000000-22202i2i−2i−2i0000−2i−2i2i2i-2202020-200-20000000000000002i−2i000000
χ34222222-2-2-2-200-2-2000000-22202i2i−2i−2i0000−2i−2i2i2i-220-20-202002000000000000000−2i2i000000
χ35222222-2-2-2-200-2-2000000-2220−2i−2i2i2i00002i2i−2i−2i-2202020-200-2000000000000000−2i2i000000
χ36222222-2-2-2-200-2-2000000-2220−2i−2i2i2i00002i2i−2i−2i-220-20-2020020000000000000002i−2i000000
χ37444444-4-4-4-400440000004-4-40000000000000-4400000000000000000000000000000000
χ38444444-4-4-4-40044000000-44-400000000000004-400000000000000000000000000000000
χ394444-4-44-4-444400000000000-400000000000000022-2-2220-2-20000000000000000000000
χ404444-4-44-4-444400000000000-4000000000000000-2-222-2-20220000000000000000000000
χ414444-4-44-4-44-4-40000000000040000000000000002-2-222-20-220000000000000000000000
χ424444-4-44-4-44-4-4000000000004000000000000000-222-2-2202-20000000000000000000000
χ434444-4-4-444-400004-40000000000000000000000022-2-2-2-20220000000000000000000000
χ444444-4-4-444-400004-400000000000000000000000-2-222220-2-20000000000000000000000
χ454444-4-4-444-40000-44000000000000000000000002-2-22-2202-20000000000000000000000
χ464444-4-4-444-40000-4400000000000000000000000-222-22-20-220000000000000000000000
χ4744-4-44-40000004i−4i0022-2-200002+2i−2−2i2−2i−2+2i2i2i−2i−2i00000000000000002i−2i000000002-20000000000
χ4844-4-44-40000004i−4i0022-2-20000−2−2i2+2i−2+2i2−2i−2i−2i2i2i00000000000000002i−2i00000000-220000000000
χ4944-4-44-40000004i−4i00-2-22200002+2i−2−2i2−2i−2+2i−2i−2i2i2i0000000000000000−2i2i00000000-220000000000
χ5044-4-44-40000004i−4i00-2-2220000−2−2i2+2i−2+2i2−2i2i2i−2i−2i0000000000000000−2i2i000000002-20000000000
χ5144-4-44-4000000−4i4i0022-2-200002−2i−2+2i2+2i−2−2i−2i−2i2i2i0000000000000000−2i2i000000002-20000000000
χ5244-4-44-4000000−4i4i0022-2-20000−2+2i2−2i−2−2i2+2i2i2i−2i−2i0000000000000000−2i2i00000000-220000000000
χ5344-4-44-4000000−4i4i00-2-22200002−2i−2+2i2+2i−2−2i2i2i−2i−2i00000000000000002i−2i00000000-220000000000
χ5444-4-44-4000000−4i4i00-2-2220000−2+2i2−2i−2−2i2+2i−2i−2i2i2i00000000000000002i−2i000000002-20000000000
χ554-44-400400-44-400002-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i002i−2i000000000000
χ564-44-400400-44-400002-22-200000000−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i00−2i2i000000000000
χ574-44-400400-44-40000-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000-222i−2i00−2i2i000000000000
χ584-44-400400-44-40000-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000000000-22−2i2i002i−2i000000000000
χ594-44-400400-4-4400002-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000-22−2i2i00−2i2i000000000000
χ604-44-400400-4-4400002-22-200000000−2i2i−2i2i−2i2i−2i2i00000000000000-222i−2i002i−2i000000000000
χ614-44-400400-4-440000-22-22000000002i−2i2i−2i−2i2i−2i2i000000000000002-2−2i2i002i−2i000000000000
χ624-44-400400-4-440000-22-2200000000−2i2i−2i2i2i−2i2i−2i000000000000002-22i−2i00−2i2i000000000000
χ6388-8-8-880000000000000000000000000000000000000000000000004i−4i00000000000000
χ6488-8-8-88000000000000000000000000000000000000000000000000−4i4i00000000000000
χ658-88-800-800800000000000000000000004-4-440000000000000000000000000000000000
χ668-88-800-80080000000000000000000000-444-40000000000000000000000000000000000
χ678-8-880008-800000000000000000004-4-4400000000000000000000000000000000000000
χ688-8-880008-80000000000000000000-444-400000000000000000000000000000000000000
χ698-8-88000-8800000004-4-4400000000000000000000000000000000000000000000000000
χ708-8-88000-880000000-444-400000000000000000000000000000000000000000000000000

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