Finite Group Databasebeta

← Group #11785823

Character table — Group #11785823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order122222223344444444666666666666661212121212121212223666666666666666666666661212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ121-1-1111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ131-1-1111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141-1-1111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-1-1111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ161-1-1111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-22222-2-22222222222222222222222-2-22-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ19222222222-1222222222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-1222222222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ21222222222-122-2-2-2-2222222-1-1-1-12-1-1-12211111111-2-2-1-2-211-2-211-1-1-1-1-1-111111111-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222-122-2-2-2-2222222-1-1-1-12-1-1-12211111111-2-2-1-2-211-2-211-1-1-1-1-1-111111111-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-22222-2-22222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-2-1-2-211-2-211-1-1-1-1-1-111111111-1-2-211-2-211222211111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-22222-2-22222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-2-1-2-211-2-211-1-1-1-1-1-111111111-1-2-211-2-211222211111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-22222-1-1-1-12-1-1-1221111111122-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-2111111111111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-22222-1-1-1-12-1-1-1221111111122-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-2111111111111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-1-1-12222-1222-1-12222222222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ2822222222-1222222222-1-1-1-12222-1222-1-12222222222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ2922222222-1222-2-2-2-222-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-2-2-111-2-211-2-2-1-1-1-1-1-111111111-1-1-122-1-1221111-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ3022222222-1222-2-2-2-222-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-2-2-111-2-211-2-2-1-1-1-1-1-111111111-1-1-122-1-1221111-1-1-1-1-1-1-1-111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ3122222222-12-2-22222-2-2-1-1-1-12222-1222-1-122222222-2-2-111-2-211-2-2-1-1-1-1-1-111111111-111-2-211-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3222222222-12-2-22222-2-2-1-1-1-12222-1222-1-122222222-2-2-111-2-211-2-2-1-1-1-1-1-111111111-111-2-211-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2111111111111111111110000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2111111111111111111110000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3522-22-2-22-2222-200002-2-2-22-222-2-222-2-22-20000000000200000000-2-222-2-20000000022-22-22-22-2000022-2-222-2-20000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3622-22-2-22-2222-200002-2-2-22-222-2-222-2-22-20000000000200000000-2-222-2-20000000022-22-22-22-2000022-2-222-2-2000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3722-22-2-22-222-220000-22-2-22-222-2-222-2-22-20000000000200000000-2-222-2-2000000002-22-22-22-220000-2-222-2-222000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ3822-22-2-22-222-220000-22-2-22-222-2-222-2-22-20000000000200000000-2-222-2-2000000002-22-22-22-220000-2-222-2-22200000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ3922-22-2-22-22-12-200002-2-2-22-2-1-1112-1112-2−i3−i3i3i3−i3−i3i3i300-100−i3i300−i3i311-1-111−i3−i3i3i3−i3−i3i3i3-12-2-112-2-110000-1-111-1-111−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i3−3−333−3−33−ii−ii−ii−ii00000000000000000000
χ4022-22-2-22-22-12-200002-2-2-22-2-1-1112-1112-2−i3−i3i3i3−i3−i3i3i300-100−i3i300−i3i311-1-111−i3−i3i3i3−i3−i3i3i3-12-2-112-2-110000-1-111-1-111−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i−333−3−333−3i−ii−ii−ii−i00000000000000000000
χ4122-22-2-22-22-12-200002-2-2-22-2-1-1112-1112-2i3i3−i3−i3i3i3−i3−i300-100i3−i300i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-12-2-112-2-110000-1-111-1-111i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i−333−3−333−3−ii−ii−ii−ii00000000000000000000
χ4222-22-2-22-22-12-200002-2-2-22-2-1-1112-1112-2i3i3−i3−i3i3i3−i3−i300-100i3−i300i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-12-2-112-2-110000-1-111-1-111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i3−3−333−3−33i−ii−ii−ii−i00000000000000000000
χ4322-22-2-22-22-1-220000-22-2-22-2-1-1112-1112-2−i3−i3i3i3−i3−i3i3i300-100i3−i300i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1-221-1-221-1000011-1-111-1-1−i3−i3i3i3−i3−i3i3i32i−2i2i−2i0000−ii−ii−ii−ii3−3−333−3−3300000000000000000000
χ4422-22-2-22-22-1-220000-22-2-22-2-1-1112-1112-2−i3−i3i3i3−i3−i3i3i300-100i3−i300i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1-221-1-221-1000011-1-111-1-1−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i0000i−ii−ii−ii−i−333−3−333−300000000000000000000
χ4522-22-2-22-22-1-220000-22-2-22-2-1-1112-1112-2i3i3−i3−i3i3i3−i3−i300-100−i3i300−i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1-221-1-221-1000011-1-111-1-1i3i3−i3−i3i3i3−i3−i32i−2i2i−2i0000−ii−ii−ii−ii−333−3−333−300000000000000000000
χ4622-22-2-22-22-1-220000-22-2-22-2-1-1112-1112-2i3i3−i3−i3i3i3−i3−i300-100−i3i300−i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1-221-1-221-1000011-1-111-1-1i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i0000i−ii−ii−ii−i3−3−333−3−3300000000000000000000
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χ4822-2-22-2-2222002i−2i2i−2i002-22-22-22-2-2-22-2-222i−2i2i−2i2i−2i2i−2i002000000002-22-22-200000000-2000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000i2−i2i2−i2−22−22
χ4922-2-22-2-222200−2i2i−2i2i002-22-22-22-2-2-22-2-22−2i2i−2i2i−2i2i−2i2i002000000002-22-22-200000000-200000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000−i2i2−i2i2−22−22
χ5022-2-22-2-222200−2i2i−2i2i002-22-22-22-2-2-22-2-22−2i2i−2i2i−2i2i−2i2i002000000002-22-22-200000000-200000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000i2−i2i2−i22−22−2
χ512-222-2-2-22222-20000-22-2-2-22-2-22222-2-2-220000000000200000000-2-2-2-2220000000022-22-2-22-22000022-2-2-2-2220000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ522-222-2-2-22222-20000-22-2-2-22-2-22222-2-2-220000000000200000000-2-2-2-2220000000022-22-2-22-22000022-2-2-2-222000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ532-222-2-2-2222-2200002-2-2-2-22-2-22222-2-2-220000000000200000000-2-2-2-222000000002-22-222-22-20000-2-22222-2-2000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ542-222-2-2-2222-2200002-2-2-2-22-2-22222-2-2-220000000000200000000-2-2-2-222000000002-22-222-22-20000-2-22222-2-200000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ552-222-2-2-222-12-20000-22-2-2-2211-1-12-111-22−i3−i3i3i3i3i3−i3−i300-100−i3i300i3−i31111-1-1−i3−i3i3i3i3i3−i3−i3-12-2-11-221-10000-1-11111-1-1−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i3−3−33−333−3−ii−iii−ii−i00000000000000000000
χ562-222-2-2-222-12-20000-22-2-2-2211-1-12-111-22−i3−i3i3i3i3i3−i3−i300-100−i3i300i3−i31111-1-1−i3−i3i3i3i3i3−i3−i3-12-2-11-221-10000-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i−333−33−3−33i−ii−i−ii−ii00000000000000000000
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χ1254-44-44-44-4-2-200−4i4i4i−4i00-222-22-22-222-22-222i−2i2i−2i−2i2i−2i2i001000000001-1-11-11-333-33-3-33-1000000002i−2i−2i2i−3i3i3i−3i3i−3i−3i3i−ii−iii−ii−i00000000000000000000000000000000000000000000
χ1264-4-4444-4-4-2-24444-4-4-4-4-2-2222222-2-2-2-222-2-2-2-222224-41-2-2-2-2222211-1-1-1-11111-1-1-1-11-2-2-2-22222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ1274-4-4444-4-4-2-244-4-444-4-4-2-2222222-2-2-2-2222222-2-2-2-2-4412222-2-2-2-211-1-1-1-1-1-1-1-111111-2-2-2-2222222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ1284-4-4444-4-4-2-2-4-444-4-444-2-2222222-2-2-2-222-2-2-2-22222-4412222-2-2-2-211-1-1-1-1-1-1-1-1111112222-2-2-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000000000000000000000000000
χ1294-4-4444-4-4-2-2-4-4-4-44444-2-2222222-2-2-2-2222222-2-2-2-24-41-2-2-2-2222211-1-1-1-11111-1-1-1-112222-2-2-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000000000000000000000
χ1304-4-4-4-44444400000000-44-4-4-444-4-4-4-44440000000000400000000-44-444-400000000-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-44444-200000000-44-4-42-2-22-422-24423−23−2323−232323−2300-2000000002-22-2-220000000020000000000000000000023−23−2323−232323−2300000000000000000000000000000000000000000000
χ1324-4-4-4-44444-200000000-44-4-42-2-22-422-244−232323−2323−23−232300-2000000002-22-2-2200000000200000000000000000000−232323−2323−23−232300000000000000000000000000000000000000000000
χ1334-4-4-4-4444-24000000002-222-444-42-4-44-2-20000000000-2−2i32i3002i3−2i3002-22-2-22−2i32i3−2i32i32i3−2i32i3−2i32000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-24000000002-222-444-42-4-44-2-20000000000-22i3−2i300−2i32i3002-22-2-222i3−2i32i3−2i3−2i32i3−2i32i32000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-2000000002-2222-2-22222-2-2-223−23−2323−232323−23001−2i32i3002i3−2i300-11-111-1i3−i3i3−i3−i3i3−i3i3-10000000000003i−3i3i−3i−3i3i−3i3i−333−33−3−3300000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-2000000002-2222-2-22222-2-2-223−23−2323−232323−230012i3−2i300−2i32i300-11-111-1−i3i3−i3i3i3−i3i3−i3-1000000000000−3i3i−3i3i3i−3i3i−3i−333−33−3−3300000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-2000000002-2222-2-22222-2-2-2−232323−2323−23−2323001−2i32i3002i3−2i300-11-111-1i3−i3i3−i3−i3i3−i3i3-1000000000000−3i3i−3i3i3i−3i3i−3i3−3−33−333−300000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-2000000002-2222-2-22222-2-2-2−232323−2323−23−23230012i3−2i300−2i32i300-11-111-1−i3i3−i3i3i3−i3i3−i3-10000000000003i−3i3i−3i−3i3i−3i3i3−3−33−333−300000000000000000000000000000000000000000000

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