Finite Group Databasebeta

← Group #10827330

Character table — Group #10827330

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444444466888888888888888888888888881212121616161616161624242424242424242424242448
order122222344446664444661212121244224444448812121212121212121212121212121212224668242424242444444444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-1-111-1-1-111-1
χ311111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111-111-1-1-1-1-111-1-11
χ5111111111111111111111111-1-111111111111111111111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-1111-1-11
χ7111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111-1-111111-1-111-1
χ911111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11
χ1011111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-111-1-1-1
χ1111111111111111-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-111-1-11-1-1-1-1-1-111111-1
χ1211111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-111-1-1-1-1-1111
χ1311111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-11111-1-1-11111-1
χ1411111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1111-1-1-1-11-1-1111
χ1511111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11
χ1611111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1
χ172222222-2-2-2-2222000022-2-2-2-22200002-200000000000022-2-20000-2-2200000000002-200000000
χ182222222-2-2-2-2222000022-2-2-2-2220000-22000000000000-2-2220000-2-220000000000-2200000000
χ192222222-2-2-2-2222000022-2-2-2-2-2-200002-200000000000022-2-2000022-20000000000-2200000000
χ202222222-2-2-2-2222000022-2-2-2-2-2-20000-22000000000000-2-222000022-200000000002-200000000
χ21222222-12222-1-1-12222-1-1-1-1-1-1002222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-1-12-1-1-1-10000000000000
χ22222222-12222-1-1-12222-1-1-1-1-1-10022-2-2-2-2-2-222-1-1-1-1111111111111000-1-1-2-1-1110000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-100-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111100011-211110000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-100-2-2-2-2-2-222-2-2-1-1-1-111111111-1-1-1-100011211-1-10000000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1002222-2-2-2-2-2-21111-1-1-1-111111111000-1-1211-1-10000000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10022-2-22222-2-211111111-1-1-1-1-1-1-1-1000-1-1-211110000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-222-2-222221111-1-1-1-11111-1-1-1-100011-2-1-1110000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-2-2-222-2-22211111111-1-1-1-11111000112-1-1-1-10000000000000
χ292222-2-222-2-2222222-2-2-2-22-22-222000000000022-2-20000000000002-2-200000000-220000000000
χ302222-2-222-2-2222222-2-2-2-22-22-2-2-2000000000022-2-2000000000000-222000000002-20000000000
χ312222-2-222-2-22222-2-222-2-22-22-2220000000000-2-2220000000000002-2-2000000002-20000000000
χ322222-2-222-2-22222-2-222-2-22-22-2-2-20000000000-2-222000000000000-22200000000-220000000000
χ332222-2-22-222-22220000-2-2-22-2222002-2000000000022-2-200000000-22-200000002000000-200000
χ342222-2-22-222-22220000-2-2-22-222200-220000000000-2-22200000000-22-20000000-2000000200000
χ352222-2-22-222-22220000-2-2-22-22-2-2002-2000000000022-2-2000000002-220000000-2000000200000
χ362222-2-22-222-22220000-2-2-22-22-2-200-220000000000-2-222000000002-2200000002000000-200000
χ372-2-222-222-22-2-2-222i−2i2i−2i-2222-2-2002-20000002i−2i2i−2i2i−2i0000000000000002-202i−2i000000000000000
χ382-2-222-222-22-2-2-222i−2i2i−2i-2222-2-200-22000000−2i2i2i−2i2i−2i000000000000000-220−2i2i000000000000000
χ392-2-222-222-22-2-2-22−2i2i−2i2i-2222-2-2002-2000000−2i2i−2i2i−2i2i0000000000000002-20−2i2i000000000000000
χ402-2-222-222-22-2-2-22−2i2i−2i2i-2222-2-200-220000002i−2i−2i2i−2i2i000000000000000-2202i−2i000000000000000
χ412-2-222-2-12-22-211-12i−2i2i−2i1-1-1-111002-20000002i−2i−ii−ii3−33−3−i3i3−i3i3−i3−i3i3i3000-110−ii3−30000000000000
χ422-2-222-2-12-22-211-12i−2i2i−2i1-1-1-111002-20000002i−2i−ii−ii−33−33i3−i3i3−i3i3i3−i3−i3000-110−ii−330000000000000
χ432-2-222-2-12-22-211-12i−2i2i−2i1-1-1-11100-22000000−2i2i−ii−ii3−33−3−i3i3−i3i3i3i3−i3−i30001-10i−i−330000000000000
χ442-2-222-2-12-22-211-12i−2i2i−2i1-1-1-11100-22000000−2i2i−ii−ii−33−33i3−i3i3−i3−i3−i3i3i30001-10i−i3−30000000000000
χ452-2-222-2-12-22-211-1−2i2i−2i2i1-1-1-111002-2000000−2i2ii−ii−i3−33−3i3−i3i3−i3i3i3−i3−i3000-110i−i3−30000000000000
χ462-2-222-2-12-22-211-1−2i2i−2i2i1-1-1-111002-2000000−2i2ii−ii−i−33−33−i3i3−i3i3−i3−i3i3i3000-110i−i−330000000000000
χ472-2-222-2-12-22-211-1−2i2i−2i2i1-1-1-11100-220000002i−2ii−ii−i3−33−3i3−i3i3−i3−i3−i3i3i30001-10−ii−330000000000000
χ482-2-222-2-12-22-211-1−2i2i−2i2i1-1-1-11100-220000002i−2ii−ii−i−33−33−i3i3−i3i3i3i3−i3−i30001-10−ii3−30000000000000
χ492-2-22-22222-2-2-2-222i−2i−2i2i2-22-2-220000000000002i−2i−2i2i0000000000000000000000000002-20002i−2i0
χ502-2-22-22222-2-2-2-222i−2i−2i2i2-22-2-220000000000002i−2i−2i2i000000000000000000000000000-22000−2i2i0
χ512-2-22-22222-2-2-2-22−2i2i2i−2i2-22-2-22000000000000−2i2i2i−2i0000000000000000000000000002-2000−2i2i0
χ522-2-22-22222-2-2-2-22−2i2i2i−2i2-22-2-22000000000000−2i2i2i−2i000000000000000000000000000-220002i−2i0
χ53444444-2-4-4-4-4-2-2-20000-2-222220000004-4000000000000-2-222000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-22222000000-4400000000000022-2-2000000000000000000000000000
χ554444-4-4-24-4-44-2-2-244-4-422-22-22000000000000-2-22200000000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-44422-22-2200000000000022-2-200000000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-20000222-22-200004-40000000000-2-2220000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-20000222-22-20000-44000000000022-2-20000000000000000000000000000000
χ594-44-400400004-4-400000000004i−4i0000002i−2i000000000000002i−2i2i−2i0000000000000000002-2000
χ604-44-400400004-4-400000000004i−4i000000−2i2i00000000000000−2i2i−2i2i000000000000000000-22000
χ614-44-400400004-4-40000000000−4i4i0000002i−2i000000000000002i−2i2i−2i000000000000000000-22000
χ624-44-400400004-4-40000000000−4i4i000000−2i2i00000000000000−2i2i−2i2i0000000000000000002-2000
χ634-4-444-44-44-44-4-440000-44-4-444000000000000000000000000000000000000000000000000000
χ644-4-444-4-2-44-4422-200002-222-2-200000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ654-4-444-4-2-44-4422-200002-222-2-2000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ664-4-44-444-4-444-4-4400004-4-444-4000000000000000000000000000000000000000000000000000
χ674-4-44-44-244-4-422-24i−4i−4i4i-22-222-2000000000000−2i2i2i−2i00000000000000000000000000000000000
χ684-4-44-44-244-4-422-2−4i4i4i−4i-22-222-20000000000002i−2i−2i2i00000000000000000000000000000000000
χ694-4-44-44-2-4-44422-20000-222-2-22000000000000000023−23−23230000000000000000000000000000000
χ704-4-44-44-2-4-44422-20000-222-2-220000000000000000−232323−230000000000000000000000000000000
χ7188-8-80080000-88-80000000000000000000000000000000000000000000000000000000000000
χ7288-8-800-400004-44000000000000000000000000000000000023−23−232300000000000000000000000
χ7388-8-800-400004-440000000000000000000000000000000000−232323−2300000000000000000000000
χ748-88-800-40000-4440000000000000000004i−4i00000000000000−2i2i−2i2i00000000000000000000000
χ758-88-800-40000-444000000000000000000−4i4i000000000000002i−2i2i−2i00000000000000000000000

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