Finite Group Databasebeta

← Group #11789719

Character table — Group #11789719

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order124422233444666612121212121236666666688881212121212121212122424242424242424444412121212121212126612122424242424242424242424244488881212121224242424242424242466881212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ71111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-1
χ81111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-111
χ911-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-1111111-1-1-1-1-1-1i−iii−i−iii−i−iiiii−i−i−i−i1-1111-1-1-111-1-1i−ii−i
χ1011-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-1111111-1-1-1-1-1-1i−iii−i−iii−i−iiiii−i−i−i−i-11-1-1-1111-1-111−ii−ii
χ1111-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii1-11-1111111-1-1-1-1-1-1−ii−i−iii−i−iii−i−i−i−iiiii1-1111-1-1-111-1-1−ii−ii
χ1211-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii1-11-1111111-1-1-1-1-1-1−ii−i−iii−i−iii−i−i−i−iiiii-11-1-1-1111-1-111i−ii−i
χ1311-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i1-11-1-1-1-1-1-1-1111111i−i−i−iiiii−i−i−i−i−i−iiiii1-111-11-1-1-1-111−iii−i
χ1411-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i1-11-1-1-1-1-1-1-1111111i−i−i−iiiii−i−i−i−i−i−iiiii-11-1-11-11111-1-1i−i−ii
χ1511-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii1-11-1-1-1-1-1-1-1111111−iiii−i−i−i−iiiiiii−i−i−i−i1-111-11-1-1-1-111i−i−ii
χ1611-1-11-1-111-1111-1-11-1-111-1-111-11-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii1-11-1-1-1-1-1-1-1111111−iiii−i−i−i−iiiiiii−i−i−i−i-11-1-11-11111-1-1−iii−i
χ1722222222-1222222-1-1-12222-122-1-1-1-1-1-1222222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-122-1-1-1-1-1-10000
χ1822222222-1222222-1-1-12222-122-1-1-1-1-1-1222222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211-2-21111110000
χ1922222222-1222222-1-1-12222-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-111111111111100000000000000000022-1-1-2-2-1-111110000
χ2022222222-1222222-1-1-12222-122-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000000000000000-2-2112211-1-1-1-10000
χ212222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-12222-1-12-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-12222-1-12-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ232222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-12-1-12-1-12111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111122-2-2-2-2-1-1-1-1111111110000000000000000
χ242222222-12222-1-1-1222-1-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-12-1-12-1-1211111111-2-2-2-211111111-1-1-1-1-2-21111-2-21111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ2522222-2-2222-2-22-2-2222-2-22222-22-2-2-2-222i−2i2i−2i-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i0000000000002-2-222i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-2222-2-22-2-2222-2-22222-22-2-2-2-22−2i2i−2i2i-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i0000000000002-2-22−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-12-2-22-2-2-1-1-1-2-222-12-2-11111-12i−2i2i−2i-22-1-1-111112i2i−2i−2i2i2i−2i−2i000000000000-111-1−ii−i−iii−ii−i−iii00000000000000000000−i3i300−i3i33−33−30000
χ2822222-2-22-12-2-22-2-2-1-1-1-2-222-12-2-11111-12i−2i2i−2i-22-1-1-111112i2i−2i−2i2i2i−2i−2i000000000000-111-1−ii−i−iii−ii−i−iii00000000000000000000i3−i300i3−i3−33−330000
χ2922222-2-22-12-2-22-2-2-1-1-1-2-222-12-2-11111-1−2i2i−2i2i-22-1-1-11111−2i−2i2i2i−2i−2i2i2i000000000000-111-1i−iii−i−ii−iii−i−i00000000000000000000−i3i300−i3i3−33−330000
χ3022222-2-22-12-2-22-2-2-1-1-1-2-222-12-2-11111-1−2i2i−2i2i-22-1-1-11111−2i−2i2i2i−2i−2i2i2i000000000000-111-1i−iii−i−ii−iii−i−i00000000000000000000i3−i300i3−i33−33−30000
χ3122222-2-2-122-2-2-11122211-1-1-1-112-2-211-12i−2i2i−2i1-12-1-1-211-2−i−iii−i−iii000033−3−333−3−3-111-12i−2i−i−iii2i−2i−i−iii0000003−33−3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3222222-2-2-122-2-2-11122211-1-1-1-112-2-211-12i−2i2i−2i1-12-1-1-211-2−i−iii−i−iii0000−3−333−3−333-111-12i−2i−i−iii2i−2i−i−iii000000−33−33i3i3−i3−i3i3i3−i3−i30000000000000000
χ3322222-2-2-122-2-2-11122211-1-1-1-112-2-211-1−2i2i−2i2i1-12-1-1-211-2ii−i−iii−i−i000033−3−333−3−3-111-1−2i2iii−i−i−2i2iii−i−i0000003−33−3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3422222-2-2-122-2-2-11122211-1-1-1-112-2-211-1−2i2i−2i2i1-12-1-1-211-2ii−i−iii−i−i0000−3−333−3−333-111-1−2i2iii−i−i−2i2iii−i−i000000−33−33−i3−i3i3i3−i3−i3i3i30000000000000000
χ352222-22-222-22-222222222222-2-2-22-22220000-2-2-222222-200000000222222222222-2-2-2-2000000000000-2-20000-2-2-2-2000000000000000000000000
χ362222-22-222-22-222222222222-2-2-22-22220000-2-2-222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200002222000000000000000000000000
χ372222-22-2-12-22-2-1-1-1222-1-1-1-1-111-22-2-1-1-1000011-2-1-12-1-1-2−i3i3−i3i3−i3i3−i3i32222-1-1-1-1-1-1-1-1111100−i3i3−i3i300−i3i3−i3i3-2-200001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ382222-22-2-12-22-2-1-1-1222-1-1-1-1-111-22-2-1-1-1000011-2-1-12-1-1-2−i3i3−i3i3−i3i3−i3i3-2-2-2-211111111111100−i3i3−i3i300−i3i3−i3i3220000-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ392222-22-2-12-22-2-1-1-1222-1-1-1-1-111-22-2-1-1-1000011-2-1-12-1-1-2i3−i3i3−i3i3−i3i3−i32222-1-1-1-1-1-1-1-1111100i3−i3i3−i300i3−i3i3−i3-2-200001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ402222-22-2-12-22-2-1-1-1222-1-1-1-1-111-22-2-1-1-1000011-2-1-12-1-1-2i3−i3i3−i3i3−i3i3−i3-2-2-2-211111111111100i3−i3i3−i300i3−i3i3−i3220000-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ412222-2-2222-2-222-2-2222-2-2222-22-2-22-2-2200002-2-222-2-2-2200000000000000000000-222-2000000000000002-22-200002-2-222-2-220000000000000000
χ422222-2-2222-2-222-2-2222-2-2222-22-2-22-2-2200002-2-222-2-2-2200000000000000000000-222-200000000000000-22-220000-222-2-222-20000000000000000
χ432222-2-22-12-2-22-11122211-1-1-11-1-2-2211-10000-11-2-1-1-21123−3−333−3−33000033−3−333−3−31-1-11003−3−33003−3−33002-22-2−33−33-111-1-111-10000000000000000
χ442222-2-22-12-2-22-11122211-1-1-11-1-2-2211-10000-11-2-1-1-21123−3−333−3−330000−3−333−3−3331-1-11003−3−33003−3−3300-22-223−33−31-1-111-1-110000000000000000
χ452222-2-22-12-2-22-11122211-1-1-11-1-2-2211-10000-11-2-1-1-2112−333−3−333−3000033−3−333−3−31-1-1100−333−300−333−300-22-22−33−331-1-111-1-110000000000000000
χ462222-2-22-12-2-22-11122211-1-1-11-1-2-2211-10000-11-2-1-1-2112−333−3−333−30000−3−333−3−3331-1-1100−333−300−333−3002-22-23−33−3-111-1-111-10000000000000000
χ4722-2-222222-2-2-22222-2-2-2-2-2-22222222222i−2i−2i2i-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i00000000000022-2-22i−2i2i2i−2i−2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4822-2-222222-2-2-22222-2-2-2-2-2-2222222222−2i2i2i−2i-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i00000000000022-2-2−2i2i−2i−2i2i2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4922-2-22222-1-2-2-2222-111-2-2-2-2-122-1-1-1-1-1-12i−2i−2i2i-2-211111112i2i−2i−2i−2i−2i2i2i000000000000-1-111−ii−i−iiii−iii−i−i00000000000000000000−i3i300i3−i33−3−330000
χ5022-2-22222-1-2-2-2222-111-2-2-2-2-122-1-1-1-1-1-12i−2i−2i2i-2-211111112i2i−2i−2i−2i−2i2i2i000000000000-1-111−ii−i−iiii−iii−i−i00000000000000000000i3−i300−i3i3−333−30000
χ5122-2-22222-1-2-2-2222-111-2-2-2-2-122-1-1-1-1-1-1−2i2i2i−2i-2-21111111−2i−2i2i2i2i2i−2i−2i000000000000-1-111i−iii−i−i−ii−i−iii00000000000000000000−i3i300i3−i3−333−30000
χ5222-2-22222-1-2-2-2222-111-2-2-2-2-122-1-1-1-1-1-1−2i2i2i−2i-2-21111111−2i−2i2i2i2i2i−2i−2i000000000000-1-111i−iii−i−i−ii−i−iii00000000000000000000i3−i300−i3i33−3−330000
χ5322-2-2222-12-2-2-2-1-1-12-2-21111-1-1-1222-1-1-12i−2i−2i2i11-211-211-2−i−iiiii−i−i0000−i3−i3i3i3i3i3−i3−i3-1-1112i−2i−i−iii−2i2iii−i−i000000−i3i3i3−i3−3−33333−3−30000000000000000
χ5422-2-2222-12-2-2-2-1-1-12-2-21111-1-1-1222-1-1-12i−2i−2i2i11-211-211-2−i−iiiii−i−i0000i3i3−i3−i3−i3−i3i3i3-1-1112i−2i−i−iii−2i2iii−i−i000000i3−i3−i3i333−3−3−3−3330000000000000000
χ5522-2-2222-12-2-2-2-1-1-12-2-21111-1-1-1222-1-1-1−2i2i2i−2i11-211-211-2ii−i−i−i−iii0000−i3−i3i3i3i3i3−i3−i3-1-111−2i2iii−i−i2i−2i−i−iii000000−i3i3i3−i333−3−3−3−3330000000000000000
χ5622-2-2222-12-2-2-2-1-1-12-2-21111-1-1-1222-1-1-1−2i2i2i−2i11-211-211-2ii−i−i−i−iii0000i3i3−i3−i3−i3−i3i3i3-1-111−2i2iii−i−i2i−2i−i−iii000000i3−i3−i3i3−3−33333−3−30000000000000000
χ5722-2-22-2-22-1-2222-2-2-11122-2-2-12-2-11111-122-2-22-2111-1-1-1-12222-2-2-2-2000000000000-11-11-1-1-1-1-1-11111110000000000000000002-2-1-12-211-1-1110000
χ5822-2-22-2-22-1-2222-2-2-11122-2-2-12-2-11111-122-2-22-2111-1-1-1-12222-2-2-2-2000000000000-11-11-1-1-1-1-1-1111111000000000000000000-2211-22-1-111-1-10000
χ5922-2-22-2-22-1-2222-2-2-11122-2-2-12-2-11111-1-2-2222-2111-1-1-1-1-2-2-2-22222000000000000-11-11111111-1-1-1-1-1-10000000000000000002-2-1-1-221111-1-10000
χ6022-2-22-2-22-1-2222-2-2-11122-2-2-12-2-11111-1-2-2222-2111-1-1-1-1-2-2-2-22222000000000000-11-11111111-1-1-1-1-1-1000000000000000000-22112-2-1-1-1-1110000
χ6122-2-22-2-2-12-222-1112-2-2-1-111-1-112-2-211-122-2-2-11-2112-1-12-1-1-1-111112i2i−2i−2i−i−i−i−iiiii-11-1122-1-1-1-1-2-211112i−2i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000
χ6222-2-22-2-2-12-222-1112-2-2-1-111-1-112-2-211-122-2-2-11-2112-1-12-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i-11-1122-1-1-1-1-2-21111−2i2i−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000
χ6322-2-22-2-2-12-222-1112-2-2-1-111-1-112-2-211-1-2-222-11-2112-1-121111-1-1-1-12i2i−2i−2i−i−i−i−iiiii-11-11-2-2111122-1-1-1-12i−2i−2i−2i2i2i−i−iiiiiii−i−i−i−i0000000000000000
χ6422-2-22-2-2-12-222-1112-2-2-1-111-1-112-2-211-1-2-222-11-2112-1-121111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i-11-11-2-2111122-1-1-1-1−2i2i2i2i−2i−2iii−i−i−i−i−i−iiiii0000000000000000
χ6522-2-2-22-2222-222222-2-2-2-2-2-22-2-2-22-22220000222-2-2-2-2-2200000000000000000000-2-222000000000000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i0000000000000000
χ6622-2-2-22-2222-222222-2-2-2-2-2-22-2-2-22-22220000222-2-2-2-2-2200000000000000000000-2-22200000000000000−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ6722-2-2-22-2-122-22-1-1-12-2-21111-111-22-2-1-1-10000-1-1211-21123−3−33−333−30000−i3−i3i3i3i3i3−i3−i311-1-1003−3−3300−333−300−2i2i2i−2ii3−i3−i3i3i−i−ii−iii−i0000000000000000
χ6822-2-2-22-2-122-22-1-1-12-2-21111-111-22-2-1-1-10000-1-1211-21123−3−33−333−30000i3i3−i3−i3−i3−i3i3i311-1-1003−3−3300−333−3002i−2i−2i2i−i3i3i3−i3−iii−ii−i−ii0000000000000000
χ6922-2-2-22-2-122-22-1-1-12-2-21111-111-22-2-1-1-10000-1-1211-2112−333−33−3−330000−i3−i3i3i3i3i3−i3−i311-1-100−333−3003−3−33002i−2i−2i2ii3−i3−i3i3−iii−ii−i−ii0000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.