Finite Group Databasebeta

← Group #11812900

Character table — Group #11812900

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122222223344446666666666666612121212121212122234466666666666666666666666121212121212121212121212121212121212121212121212121212122222444444444466661212121212121212121212122466121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11-1
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-11
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-111-11
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-11111-1-11-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1-11
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-1111-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ17222222222-122222222-1-1-1-122-1-12-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000220022000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122222222-1-1-1-122-1-12-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-20000000000000000-2-211111111000000
χ19222222222-122222222-1-1-1-122-1-12-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-111111111000000002200220000000000000000-2-211-1-111-1-1000000
χ20222222222-122222222-1-1-1-122-1-12-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000-2-200-2-2000000000000000022-1-111-1-111000000
χ21222222222-1-2-2-2-22222-1-1-1-122-1-12-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111111111111000000002200-2-20000000000000000-2211-1-1-1-111000000
χ22222222222-1-2-2-2-22222-1-1-1-122-1-12-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111111100000000-2-2002200000000000000002-2-1-11111-1-1000000
χ23222222222-1-2-2-2-22222-1-1-1-122-1-12-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-111112222-1-1-1-111111111-1-1-1-1-1-1-1-1000000002200-2-200000000000000002-2-1-1-1-11111000000
χ24222222222-1-2-2-2-22222-1-1-1-122-1-12-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-111112222-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-200220000000000000000-221111-1-1-1-1000000
χ2522222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222002200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2-20011111111111111110000000000000000
χ2722222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-122221111-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-2002200-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-122222-1-1-1-12222-1-122-12-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-122221111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2222200-2-2001111-1-1-1-1-1-1-1-111110000000000000000
χ2922222222-12-2-2-2-2-1-1-1-12222-1-122-121111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111111112222-2-22200-2-200-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-12-2-2-2-2-1-1-1-12222-1-122-121111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111-2-2-2-222-2-200220011111111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-2-2-2-2-1-1-1-12222-1-122-1211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1222222-2-200-2-200-1-1-1-11111-1-1-1-111110000000000000000
χ3222222222-12-2-2-2-2-1-1-1-12222-1-122-1211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2220022001111-1-1-1-11111-1-1-1-10000000000000000
χ3322-2-2-222-2222i2i−2i−2i22-2-222-2-22-22-2-2-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-22i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i0000000022-2-20000002i−2i0022-2-2000000002i2i−2i−2i0000000000000000
χ3422-2-2-222-2222i2i−2i−2i22-2-222-2-22-22-2-2-22i2i2i2i−2i−2i−2i−2i0020000000000222-2-2-200000000-22i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000-2-222000000−2i2i00-2-22200000000−2i−2i2i2i0000000000000000
χ3522-2-2-222-222−2i−2i2i2i22-2-222-2-22-22-2-2-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-2−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000022-2-2000000−2i2i0022-2-200000000−2i−2i2i2i0000000000000000
χ3622-2-2-222-222−2i−2i2i2i22-2-222-2-22-22-2-2-2−2i−2i−2i−2i2i2i2i2i0020000000000222-2-2-200000000-2−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000-2-2220000002i−2i00-2-222000000002i2i−2i−2i0000000000000000
χ3722-2-2-222-2-122i2i−2i−2i-1-11122-2-2-112-21-2−i−i−i−iiiii00-100−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i312i2i−2i−2i33−3−30000−i−i−i−iiiii3333−3−3−3−322-2-20000002i−2i00-1-111−i3−i3i3i333−3−3−i−iii0000000000000000
χ3822-2-2-222-2-122i2i−2i−2i-1-11122-2-2-112-21-2−i−i−i−iiiii00-100−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i312i2i−2i−2i33−3−30000−i−i−i−iiiii3333−3−3−3−3-2-222000000−2i2i0011-1-1i3i3−i3−i3−3−333ii−i−i0000000000000000
χ3922-2-2-222-2-122i2i−2i−2i-1-11122-2-2-112-21-2−i−i−i−iiiii00-100i3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i312i2i−2i−2i−3−3330000−i−i−i−iiiii−3−3−3−3333322-2-20000002i−2i00-1-111i3i3−i3−i3−3−333−i−iii0000000000000000
χ4022-2-2-222-2-122i2i−2i−2i-1-11122-2-2-112-21-2−i−i−i−iiiii00-100i3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i312i2i−2i−2i−3−3330000−i−i−i−iiiii−3−3−3−33333-2-222000000−2i2i0011-1-1−i3−i3i3i333−3−3ii−i−i0000000000000000
χ4122-2-2-222-2-12−2i−2i2i2i-1-11122-2-2-112-21-2iiii−i−i−i−i00-100−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i31−2i−2i2i2i−3−3330000iiii−i−i−i−i−3−3−3−3333322-2-2000000−2i2i00-1-111−i3−i3i3i3−3−333ii−i−i0000000000000000
χ4222-2-2-222-2-12−2i−2i2i2i-1-11122-2-2-112-21-2iiii−i−i−i−i00-100−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i31−2i−2i2i2i−3−3330000iiii−i−i−i−i−3−3−3−33333-2-2220000002i−2i0011-1-1i3i3−i3−i333−3−3−i−iii0000000000000000
χ4322-2-2-222-2-12−2i−2i2i2i-1-11122-2-2-112-21-2iiii−i−i−i−i00-100i3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i31−2i−2i2i2i33−3−30000iiii−i−i−i−i3333−3−3−3−322-2-2000000−2i2i00-1-111i3i3−i3−i333−3−3ii−i−i0000000000000000
χ4422-2-2-222-2-12−2i−2i2i2i-1-11122-2-2-112-21-2iiii−i−i−i−i00-100i3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i31−2i−2i2i2i33−3−30000iiii−i−i−i−i3333−3−3−3−3-2-2220000002i−2i0011-1-1−i3−i3i3i3−3−333−i−iii0000000000000000
χ452-22-222-2-2220000-2-2222-22-22-2-22-2-2000000000022i−2i000000002-2-222-200000000-200002i−2i2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-22i−2i000000002-22-200002i−2i2i−2i00000000000000000000
χ462-22-222-2-2220000-2-2222-22-22-2-22-2-2000000000022i−2i000000002-2-222-200000000-200002i−2i2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i-22-22−2i2i00000000-22-220000−2i2i−2i2i00000000000000000000
χ472-22-222-2-2220000-2-2222-22-22-2-22-2-200000000002−2i2i000000002-2-222-200000000-20000−2i2i−2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i000000002-22-20000−2i2i−2i2i00000000000000000000
χ482-22-222-2-2220000-2-2222-22-22-2-22-2-200000000002−2i2i000000002-2-222-200000000-20000−2i2i−2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i-22-222i−2i00000000-22-2200002i−2i2i−2i00000000000000000000
χ492-22-222-2-2-12000011-1-12-22-2-11-221-233−3−333−3−300-12i−2i−i3i3−i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i310000−ii−ii2i2i−2i−2i33−3−333−3−3−i−iii−i−iii2-22-22i−2i00000000-11-11−i3i3−i3i3−ii−ii3−33−30000000000000000
χ502-22-222-2-2-12000011-1-12-22-2-11-221-233−3−333−3−300-12i−2i−i3i3−i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i310000−ii−ii2i2i−2i−2i33−3−333−3−3−i−iii−i−iii-22-22−2i2i000000001-11-1i3−i3i3−i3i−ii−i−33−330000000000000000
χ512-22-222-2-2-12000011-1-12-22-2-11-221-233−3−333−3−300-1−2i2ii3−i3i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i310000i−ii−i−2i−2i2i2i33−3−333−3−3ii−i−iii−i−i2-22-2−2i2i00000000-11-11i3−i3i3−i3i−ii−i3−33−30000000000000000
χ522-22-222-2-2-12000011-1-12-22-2-11-221-233−3−333−3−300-1−2i2ii3−i3i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i310000i−ii−i−2i−2i2i2i33−3−333−3−3ii−i−iii−i−i-22-222i−2i000000001-11-1−i3i3−i3i3−ii−ii−33−330000000000000000
χ532-22-222-2-2-12000011-1-12-22-2-11-221-2−3−333−3−33300-12i−2ii3−i3i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i310000−ii−ii2i2i−2i−2i−3−333−3−333−i−iii−i−iii2-22-22i−2i00000000-11-11i3−i3i3−i3−ii−ii−33−330000000000000000
χ542-22-222-2-2-12000011-1-12-22-2-11-221-2−3−333−3−33300-12i−2ii3−i3i3−i30000-111-1-11i3i3−i3−i3i3i3−i3−i310000−ii−ii2i2i−2i−2i−3−333−3−333−i−iii−i−iii-22-22−2i2i000000001-11-1−i3i3−i3i3i−ii−i3−33−30000000000000000
χ552-22-222-2-2-12000011-1-12-22-2-11-221-2−3−333−3−33300-1−2i2i−i3i3−i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i310000i−ii−i−2i−2i2i2i−3−333−3−333ii−i−iii−i−i2-22-2−2i2i00000000-11-11−i3i3−i3i3i−ii−i−33−330000000000000000
χ562-22-222-2-2-12000011-1-12-22-2-11-221-2−3−333−3−33300-1−2i2i−i3i3−i3i30000-111-1-11−i3−i3i3i3−i3−i3i3i310000i−ii−i−2i−2i2i2i−3−333−3−333ii−i−iii−i−i-22-222i−2i000000001-11-1i3−i3i3−i3−ii−ii3−33−30000000000000000
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χ1284-4-444-44-4-24−4i4i4i−4i-222-2-4-4442-24-42-42i−2i2i−2i−2i2i−2i2i00-200000000002-222-2-2000000002−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
χ1294-4-444-44-4-2-24i−4i−4i4i-222-222-2-22-2-2222−2i2i−2i2i2i−2i2i−2i0010000000000-11-1-1113-33-3-33-33-1−2i2i2i−2i00000000i−ii−i−ii−ii3i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ1304-4-444-44-4-2-24i−4i−4i4i-222-222-2-22-2-2222−2i2i−2i2i2i−2i2i−2i0010000000000-11-1-111-33-333-33-3-1−2i2i2i−2i00000000i−ii−i−ii−ii−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ1314-4-444-44-4-2-2−4i4i4i−4i-222-222-2-22-2-22222i−2i2i−2i−2i2i−2i2i0010000000000-11-1-1113-33-3-33-33-12i−2i−2i2i00000000−ii−iii−ii−i−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ1324-4-444-44-4-2-2−4i4i4i−4i-222-222-2-22-2-22222i−2i2i−2i−2i2i−2i2i0010000000000-11-1-111-33-333-33-3-12i−2i−2i2i00000000−ii−iii−ii−i3i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ1334-4-44-44-444-20000-4-4-4-4-222-244224-2000000004-4-2004-4-44-22-22-22222-2-2-22222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-44-444-20000-4-4-4-4-222-244224-200000000-44-200-444-42-22-2-22222-222-2-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-44-44-2-200002222-222-2-2-222-2-2−2i3−2i32i32i32i32i3−2i3−2i34-4100-222-2-22-221-1-1-1-1111-1-1-1-11110000−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000000000
χ1364-4-44-44-44-2-200002222-222-2-2-222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-441002-2-222-22-21-1-1-1-11-1-11111-1-1100002i3−2i3−2i32i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000000000
χ1374-4-44-44-44-2-200002222-222-2-2-222-2-22i32i3−2i3−2i3−2i3−2i32i32i34-4100-222-2-22-221-1-1-1-1111-1-1-1-111100002i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000000000
χ1384-4-44-44-44-2-200002222-222-2-2-222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-441002-2-222-22-21-1-1-1-11-1-11111-1-110000−2i32i32i3−2i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000000000

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