Finite Group Databasebeta

← Group #11817805

Character table — Group #11817805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233444466666666666666121212121212121222344666666666666666666666661212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212122466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1-11
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-1111-1
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-1-111-11
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-111-1-111-1-111-1-11-1
χ17222222222-122222222-1-1-12-1-1-1-1222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022000022000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122222222-1-1-12-1-1-1-1222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20000-2-20000000000000000-2-211111111000000
χ19222222222-122222222-1-1-12-1-1-1-12222222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-111111111000000220000220000000000000000-2-211-1-1-1-111000000
χ20222222222-122222222-1-1-12-1-1-1-12222222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-111111111000000-2-20000-2-2000000000000000022-1-11111-1-1000000
χ21222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111111111111000000220000-2-200000000000000002-2-1-1-1-11111000000
χ22222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111111111111000000-2-20000220000000000000000-221111-1-1-1-1000000
χ23222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-111112222-1-1-1-111111111-1-1-1-1-1-1-1-1000000220000-2-20000000000000000-2211-1-111-1-1000000
χ24222222222-1-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-111112222-1-1-1-111111111-1-1-1-1-1-1-1-1000000-2-200002200000000000000002-2-1-111-1-111000000
χ2522222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-2-2-20011111111111111110000000000000000
χ2722222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-122221111-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-20022-2-200-1-1-1-1-1-1-1-1111111110000000000000000
χ2822222222-122222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-122221111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-22200-2-2220011111111-1-1-1-1-1-1-1-10000000000000000
χ2922222222-12-2-2-2-2-1-1-1-1222-12222-1-11111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111111112222-2-200-2-22200-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-12-2-2-2-2-1-1-1-1222-12222-1-11111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2220022-2-2001111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-2-2-2-2-1-1-1-1222-12222-1-111111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-122222200-2-2-2-200-1-1-1-111111111-1-1-1-10000000000000000
χ3222222222-12-2-2-2-2-1-1-1-1222-12222-1-111111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2002222001111-1-1-1-1-1-1-1-111110000000000000000
χ3322-2-22-2-22222i2i−2i−2i22-2-222-2-2-22-2-22-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-22i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000002-22i−2i00
χ3422-2-22-2-22222i2i−2i−2i22-2-222-2-2-22-2-22-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-22i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000-22−2i2i00
χ3522-2-22-2-2222−2i−2i2i2i22-2-222-2-2-22-2-22-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-2−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000002-2−2i2i00
χ3622-2-22-2-2222−2i−2i2i2i22-2-222-2-2-22-2-22-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-2−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000-222i−2i00
χ3722-2-2-222-22200002-22-22-2-222-22-2-2-2000000002-220022-2-222-2-22-2-22-2-22222-2-2-2-2200000000000000000000000000002i2i−2i−2i0000002i−2i002i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ3822-2-2-222-22200002-22-22-2-222-22-2-2-2000000002-220022-2-222-2-22-2-22-2-22222-2-2-2-220000000000000000000000000000−2i−2i2i2i000000−2i2i00−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ3922-2-2-222-22200002-22-22-2-222-22-2-2-200000000-22200-2-222-2-2222-2-22-2-2-2-2-2-22222200000000000000000000000000002i2i−2i−2i000000−2i2i002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ4022-2-2-222-22200002-22-22-2-222-22-2-2-200000000-22200-2-222-2-2222-2-22-2-2-2-2-2-2222220000000000000000000000000000−2i−2i2i2i0000002i−2i00−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ4122-2-2-222-2-120000-11-112-2-2-12-22-211−i3−i3i3i3−i3−i3i3i32-2-100-1-11122-2-2-111-111-1-1-1-11111-10000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32i2i−2i−2i0000002i−2i00−i−iii33−3−3−i−iii33−3−30000000000000000
χ4222-2-2-222-2-120000-11-112-2-2-12-22-211−i3−i3i3i3−i3−i3i3i32-2-100-1-11122-2-2-111-111-1-1-1-11111-10000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i000000−2i2i00ii−i−i−3−333ii−i−i−3−3330000000000000000
χ4322-2-2-222-2-120000-11-112-2-2-12-22-211−i3−i3i3i3−i3−i3i3i3-22-10011-1-1-2-222-111-1111111-1-1-1-1-10000i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3i3i3−i3−i3−i3−i32i2i−2i−2i000000−2i2i00−i−iii33−3−3ii−i−i−3−3330000000000000000
χ4422-2-2-222-2-120000-11-112-2-2-12-22-211−i3−i3i3i3−i3−i3i3i3-22-10011-1-1-2-222-111-1111111-1-1-1-1-10000i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i3i3i3i3i3−i3−i3−i3−i3−2i−2i2i2i0000002i−2i00ii−i−i−3−333−i−iii33−3−30000000000000000
χ4522-2-2-222-2-120000-11-112-2-2-12-22-211i3i3−i3−i3i3i3−i3−i32-2-100-1-11122-2-2-111-111-1-1-1-11111-10000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32i2i−2i−2i0000002i−2i00−i−iii−3−333−i−iii−3−3330000000000000000
χ4622-2-2-222-2-120000-11-112-2-2-12-22-211i3i3−i3−i3i3i3−i3−i32-2-100-1-11122-2-2-111-111-1-1-1-11111-10000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3−2i−2i2i2i000000−2i2i00ii−i−i33−3−3ii−i−i33−3−30000000000000000
χ4722-2-2-222-2-120000-11-112-2-2-12-22-211i3i3−i3−i3i3i3−i3−i3-22-10011-1-1-2-222-111-1111111-1-1-1-1-10000−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3i32i2i−2i−2i000000−2i2i00−i−iii−3−333ii−i−i33−3−30000000000000000
χ4822-2-2-222-2-120000-11-112-2-2-12-22-211i3i3−i3−i3i3i3−i3−i3-22-10011-1-1-2-222-111-1111111-1-1-1-1-10000−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i0000002i−2i00ii−i−i33−3−3−i−iii−3−3330000000000000000
χ492-22-222-2-2222-22-2-22-22-22-222-2-22-2-22-22-22-22-20020000000000-22-2-22-20000000022-22-2000000002-22-22-22-2000000002i−2i2i−2i00002i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ502-22-222-2-2222-22-2-22-22-22-222-2-22-2-22-22-22-22-20020000000000-22-2-22-20000000022-22-2000000002-22-22-22-200000000−2i2i−2i2i0000−2i2i0000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ512-22-222-2-222-22-22-22-22-22-222-2-22-2-2-22-22-22-220020000000000-22-2-22-2000000002-22-2200000000-22-22-22-22000000002i−2i2i−2i0000−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ522-22-222-2-222-22-22-22-22-22-222-2-22-2-2-22-22-22-220020000000000-22-2-22-2000000002-22-2200000000-22-22-22-2200000000−2i2i−2i2i00002i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ532-22-222-2-2-122-22-21-11-1-22-2-12-2-2211-11-11-11-1100-100−i3i3−i3i300001-111-11−i3−i3i3i3−i3−i3i3i3-12-22-2−i3i3−i3i30000-11-11-11-11−i3−i3i3i3−i3−i3i3i32i−2i2i−2i00002i−2i0000−ii−ii−ii−ii3−33−33−33−30000000000000000
χ542-22-222-2-2-122-22-21-11-1-22-2-12-2-2211-11-11-11-1100-100−i3i3−i3i300001-111-11−i3−i3i3i3−i3−i3i3i3-12-22-2−i3i3−i3i30000-11-11-11-11−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i0000−2i2i0000i−ii−ii−ii−i−33−33−33−330000000000000000
χ552-22-222-2-2-122-22-21-11-1-22-2-12-2-2211-11-11-11-1100-100i3−i3i3−i300001-111-11i3i3−i3−i3i3i3−i3−i3-12-22-2i3−i3i3−i30000-11-11-11-11i3i3−i3−i3i3i3−i3−i32i−2i2i−2i00002i−2i0000−ii−ii−ii−ii−33−33−33−330000000000000000
χ562-22-222-2-2-122-22-21-11-1-22-2-12-2-2211-11-11-11-1100-100i3−i3i3−i300001-111-11i3i3−i3−i3i3i3−i3−i3-12-22-2i3−i3i3−i30000-11-11-11-11i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i0000−2i2i0000i−ii−ii−ii−i3−33−33−33−30000000000000000
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χ1274-4-444-44-4-244i−4i−4i4i2-2-22-4442-4-44-42-2−2i2i−2i2i2i−2i2i−2i00-200000000002-22-22-20000000024i−4i−4i4i00000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000
χ1284-4-444-44-4-24−4i4i4i−4i2-2-22-4442-4-44-42-22i−2i2i−2i−2i2i−2i2i00-200000000002-22-22-2000000002−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ1294-4-444-44-4-2-24i−4i−4i4i2-2-222-2-2222-222-2−2i2i−2i2i2i−2i2i−2i001000000−2i32i3−2i32i3-11-11-11i3−i3i3−i3i3−i3i3−i3-1−2i2i2i−2i00002323−23−23i−ii−i−ii−ii−33−33−33−330000000000000000000000000000000000000000000000
χ1304-4-444-44-4-2-24i−4i−4i4i2-2-222-2-2222-222-2−2i2i−2i2i2i−2i2i−2i0010000002i3−2i32i3−2i3-11-11-11−i3i3−i3i3−i3i3−i3i3-1−2i2i2i−2i0000−23−232323i−ii−i−ii−ii3−33−33−33−30000000000000000000000000000000000000000000000
χ1314-4-444-44-4-2-2−4i4i4i−4i2-2-222-2-2222-222-22i−2i2i−2i−2i2i−2i2i001000000−2i32i3−2i32i3-11-11-11i3−i3i3−i3i3−i3i3−i3-12i−2i−2i2i0000−23−232323−ii−iii−ii−i3−33−33−33−30000000000000000000000000000000000000000000000
χ1324-4-444-44-4-2-2−4i4i4i−4i2-2-222-2-2222-222-22i−2i2i−2i−2i2i−2i2i0010000002i3−2i32i3−2i3-11-11-11−i3i3−i3i3−i3i3−i3i3-12i−2i−2i2i00002323−23−23−ii−iii−ii−i−33−33−33−330000000000000000000000000000000000000000000000
χ1334-4-44-44-444-20000-4-4-4-422-24-2-222440000000000-24-40000000022-222-200000000-200004-4-44-22-2200000000-2-22222-2-20000000000000000000000000000000000000000000000
χ1344-4-44-44-444-20000-4-4-4-422-24-2-222440000000000-2-440000000022-222-200000000-20000-444-42-22-20000000022-2-2-2-2220000000000000000000000000000000000000000000000
χ1354-4-44-44-44-2-20000222222-2-2-2-222-2-2−2i32i32i3−2i3−2i32i32i3−2i30014-4−2i32i32i3−2i30000-1-11-1-11i3i3−i3−i3−i3−i3i3i310000-222-2-22-22i3−i3−i3i3i3−i3−i3i311-1-1-1-1110000000000000000000000000000000000000000000000
χ1364-4-44-44-44-2-20000222222-2-2-2-222-2-2−2i32i32i3−2i3−2i32i32i3−2i3001-442i3−2i3−2i32i30000-1-11-1-11−i3−i3i3i3i3i3−i3−i3100002-2-222-22-2i3−i3−i3i3i3−i3−i3i3-1-11111-1-10000000000000000000000000000000000000000000000
χ1374-4-44-44-44-2-20000222222-2-2-2-222-2-22i3−2i3−2i32i32i3−2i3−2i32i30014-42i3−2i3−2i32i30000-1-11-1-11−i3−i3i3i3i3i3−i3−i310000-222-2-22-22−i3i3i3−i3−i3i3i3−i311-1-1-1-1110000000000000000000000000000000000000000000000
χ1384-4-44-44-44-2-20000222222-2-2-2-222-2-22i3−2i3−2i32i32i3−2i3−2i32i3001-44−2i32i32i3−2i30000-1-11-1-11i3i3−i3−i3−i3−i3i3i3100002-2-222-22-2−i3i3i3−i3−i3i3i3−i3-1-11111-1-10000000000000000000000000000000000000000000000

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