Finite Group Databasebeta

← Group #11791495

Character table — Group #11791495

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order1222222233444444446666666666666612121212121212121212121212121212344666666612121212121212121212121212121212121212121212121212121212121212121212121212121212444444448888888812121212121212121212121212121212242424242424242424242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-1-111-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1
χ101-1-111-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11
χ111-1-111-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-11
χ121-1-111-1-111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ131-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11
χ141-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-1
χ151-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-1
χ161-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-11-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11
χ1722222222222222-2-2-2-222222222222222-2-2-2-2-2-222222222-2-22-2-22222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ19222222222-1222222222222-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-1222222222222-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111111111111100000000000000000000
χ21222222222-12222-2-2-2-22222-1-1222-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-1-2-2-1-1-1-1-1-1-1111122-2-21122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ22222222222-12222-2-2-2-22222-1-1222-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-1-2-2-1-1-1-1-1-1-1111122-2-21122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ23222222222-1-2-2-2-222222222-1-1222-1-1-1-1-12222221111111122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-111111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000000000
χ24222222222-1-2-2-2-222222222-1-1222-1-1-1-1-12222221111111122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-22222-1-1222-1-1-1-1-1-2-2-2-2-2-211111111-2-2-122-1-1-1-1-1-1-11111-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-22222-1-1222-1-1-1-1-1-2-2-2-2-2-211111111-2-2-122-1-1-1-1-1-1-11111-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-1-1-122-1-1-122222-1-1-1-1-1-122222222-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ2822222222-1222222222-1-1-1-122-1-1-122222-1-1-1-1-1-122222222-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000011111111111111110000
χ2922222222-122222-2-2-2-2-1-1-1-122-1-1-1222221111112222222211-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000000033−3−333−3−333−3−333−3−30000
χ3022222222-122222-2-2-2-2-1-1-1-122-1-1-1222221111112222222211-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−3−333−3−333−3−333−3−3330000
χ3122222222-12-2-2-2-22222-1-1-1-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-2-2-1-1-1-1-1-1-122221111-2-21111-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000
χ3222222222-12-2-2-2-22222-1-1-1-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-2-2-1-1-1-1-1-1-122221111-2-21111-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-10000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1-122-1-1-122222111111-2-2-2-2-2-2-2-211-122-1-1-1-1-1-1-1-2-2-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000000033−3−333−3−3−3−333−3−3330000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1-122-1-1-122222111111-2-2-2-2-2-2-2-211-122-1-1-1-1-1-1-1-2-2-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000−3−333−3−33333−3−333−3−30000
χ3522-22-22-2-2222i−2i2i−2i000022-2-22-22-2-22-2-22-20000002i2i−2i−2i2i2i−2i−2i0020022-2-22-2-200002i−2i00002i−2i0000000000002i2i−2i−2i00002i2i−2i−2i0000000000002−22−2−i2i2−i2i200000000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000
χ3622-22-22-2-2222i−2i2i−2i000022-2-22-22-2-22-2-22-20000002i2i−2i−2i2i2i−2i−2i0020022-2-22-2-200002i−2i00002i−2i0000000000002i2i−2i−2i00002i2i−2i−2i000000000000−22−22i2−i2i2−i20000000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000
χ3722-22-22-2-222−2i2i−2i2i000022-2-22-22-2-22-2-22-2000000−2i−2i2i2i−2i−2i2i2i0020022-2-22-2-20000−2i2i0000−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i0000000000002−22−2i2−i2i2−i200000000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000
χ3822-22-22-2-222−2i2i−2i2i000022-2-22-22-2-22-2-22-2000000−2i−2i2i2i−2i−2i2i2i0020022-2-22-2-20000−2i2i0000−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i000000000000−22−22−i2i2−i2i20000000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000
χ3922-22-22-2-2-122i−2i2i−2i0000-1-1112-2-1112-2-22-233−3−33−32i2i−2i−2i2i2i−2i−2i3−3-100-1-111-1110000−ii−i3i300−ii−i3i30033−3−333−3−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3000000002−22−2−i2i2−i2i20000000000000000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ4022-22-22-2-2-122i−2i2i−2i0000-1-1112-2-1112-2-22-233−3−33−32i2i−2i−2i2i2i−2i−2i3−3-100-1-111-1110000−ii−i3i300−ii−i3i30033−3−333−3−3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i300000000−22−22i2−i2i2−i20000000000000000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ4122-22-22-2-2-122i−2i2i−2i0000-1-1112-2-1112-2-22-2−3−333−332i2i−2i−2i2i2i−2i−2i−33-100-1-111-1110000−iii3−i300−iii3−i300−3−333−3−333−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3000000002−22−2−i2i2−i2i20000000000000000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ4222-22-22-2-2-122i−2i2i−2i0000-1-1112-2-1112-2-22-2−3−333−332i2i−2i−2i2i2i−2i−2i−33-100-1-111-1110000−iii3−i300−iii3−i300−3−333−3−333−i−iiii3i3−i3−i3−i−iiii3i3−i3−i300000000−22−22i2−i2i2−i20000000000000000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ4322-22-22-2-2-12−2i2i−2i2i0000-1-1112-2-1112-2-22-233−3−33−3−2i−2i2i2i−2i−2i2i2i3−3-100-1-111-1110000i−ii3−i300i−ii3−i30033−3−333−3−3ii−i−ii3i3−i3−i3ii−i−ii3i3−i3−i3000000002−22−2i2−i2i2−i20000000000000000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ4422-22-22-2-2-12−2i2i−2i2i0000-1-1112-2-1112-2-22-233−3−33−3−2i−2i2i2i−2i−2i2i2i3−3-100-1-111-1110000i−ii3−i300i−ii3−i30033−3−333−3−3ii−i−ii3i3−i3−i3ii−i−ii3i3−i3−i300000000−22−22−i2i2−i2i20000000000000000−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ4522-22-22-2-2-12−2i2i−2i2i0000-1-1112-2-1112-2-22-2−3−333−33−2i−2i2i2i−2i−2i2i2i−33-100-1-111-1110000i−i−i3i300i−i−i3i300−3−333−3−333ii−i−i−i3−i3i3i3ii−i−i−i3−i3i3i3000000002−22−2i2−i2i2−i20000000000000000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ4622-22-22-2-2-12−2i2i−2i2i0000-1-1112-2-1112-2-22-2−3−333−33−2i−2i2i2i−2i−2i2i2i−33-100-1-111-1110000i−i−i3i300i−i−i3i300−3−333−3−333ii−i−i−i3−i3i3i3ii−i−i−i3−i3i3i300000000−22−22−i2i2−i2i20000000000000000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ4722-2-2-2-2222200002-22-22-22-22-2-22-2-22-2-222-22-22200000000-2-22002-22-2-22-22-22-20000000000002-22-22-22-200000000000000002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ4822-2-2-2-2222200002-22-22-22-22-2-22-2-22-2-222-22-22200000000-2-22002-22-2-22-22-22-20000000000002-22-22-22-20000000000000000−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
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χ1394-4-444-4-44-2-244-4-4-4-444222222-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-21-44-1-1-1-111122-2-2-2-2222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000000000000
χ1404-4-444-4-44-2-2-4-44444-4-4222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2221-44-1-1-1-1111-2-222222222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000000000000000
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χ1504-4-4-4444-4-2-2000000002-2-222222-222-2-2-2−232323−2323−232i3−2i3−2i32i3−2i32i32i3−2i3−2323100-111-1-1-1100000000000000003−3−33−333−3−i3i3i3−i33i−3i−3i3ii3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.