Finite Group Databasebeta

← Group #11775413

Character table — Group #11775413

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222224444444444444444488888888888888888888888888888888888888888816161616161616161818363636727272727272
order122222333344666666666666466666666121212121212121224448812121212121212121212121212121212121212122424242424242424242424242424242466661212121244444244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1
χ611111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ91111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1111-1-1-11i−ii−i
χ101111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1111-1−ii−ii
χ111111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1111-1-1-11−ii−ii
χ121111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1111-1i−ii−i
χ131111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111111-1-11-1i−i−ii
χ141111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-111-11−iii−i
χ151111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111111-1-11-1−iii−i
χ161111-1-11111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-111-11i−i−ii
χ172222222222-2-2222222222222-222222222-2-2-2-2-2-2-2-2000000-2-2-2-2000000000000000000000000000000000000000022-2-22000000
χ182222222222-2-2222222222222-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000-2-222-2000000
χ192222222-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000000
χ202222222-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-100000000000
χ212222222-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-222-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-211100000000000
χ222222222-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2222-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-211100000000000
χ23222222-12-1-122-12-1-1-1-122-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000000
χ24222222-12-1-122-12-1-1-1-122-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-122-2-2-2-2-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-100000000000
χ25222222-12-1-122-12-1-1-1-122-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-222-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-21100000000000
χ26222222-12-1-122-12-1-1-1-122-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-222-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-21100000000000
χ27222222-1-12-122-1-12-1-1-1-1-122-1-12-1-12-1-1-12-1-1-1-1-122-1-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-100000000000
χ28222222-1-12-122-1-12-1-1-1-1-122-1-12-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2-2-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-100000000000
χ29222222-1-12-122-1-12-1-1-1-1-122-1-12-1-12-1-1-12-1-1-1-1-122-1-1-2-222-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-2100000000000
χ30222222-1-12-122-1-12-1-1-1-1-122-1-12-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-222-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-2100000000000
χ31222222-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1200000000000
χ32222222-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-2-2-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-1200000000000
χ33222222-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111-2111-200000000000
χ34222222-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-200000000000
χ352222-2-2222222222222222222-2-2-2-2-2-2-2-2-222222222000000-2-2-2-2000000000000000000000000000000000000000022-22-2000000
χ362222-2-2222222222222222222-2-2-2-2-2-2-2-2-222222222000000-2-2-2-20000000000000000000000000000000000000000-2-22-22000000
χ372222-2-22-1-1-1-2-22-1-1-122-1-1-1-1-1-12-2111-2111-2-21111112-22i−2i2i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-211100000000000
χ382222-2-22-1-1-1-2-22-1-1-122-1-1-1-1-1-12-2111-2111-2-21111112-2−2i2i−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-211100000000000
χ392222-2-22-1-1-1-2-22-1-1-122-1-1-1-1-1-12-2111-2111-2-2111111-222i−2i−2i2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-100000000000
χ402222-2-22-1-1-1-2-22-1-1-122-1-1-1-1-1-12-2111-2111-2-2111111-22−2i2i2i−2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-100000000000
χ412222-2-2-12-1-1-2-2-12-1-1-1-122-1-1-1-121-2111-21111-2-211112-22i−2i2i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-21100000000000
χ422222-2-2-12-1-1-2-2-12-1-1-1-122-1-1-1-121-2111-21111-2-211112-2−2i2i−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-21100000000000
χ432222-2-2-12-1-1-2-2-12-1-1-1-122-1-1-1-121-2111-21111-2-21111-222i−2i−2i2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-100000000000
χ442222-2-2-12-1-1-2-2-12-1-1-1-122-1-1-1-121-2111-21111-2-21111-22−2i2i2i−2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-100000000000
χ452222-2-2-1-12-1-2-2-1-12-1-1-1-1-122-1-1211-2111-211111-2-2112-22i−2i2i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-2100000000000
χ462222-2-2-1-12-1-2-2-1-12-1-1-1-1-122-1-1211-2111-211111-2-2112-2−2i2i−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-2100000000000
χ472222-2-2-1-12-1-2-2-1-12-1-1-1-1-122-1-1211-2111-211111-2-211-222i−2i−2i2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i11-21-1-12-100000000000
χ482222-2-2-1-12-1-2-2-1-12-1-1-1-1-122-1-1211-2111-211111-2-211-22−2i2i2i−2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii11-21-1-12-100000000000
χ492222-2-2-1-1-12-2-2-1-1-12-1-1-1-1-1-1222111-2111-2111111-2-22-22i−2i2i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-200000000000
χ502222-2-2-1-1-12-2-2-1-1-12-1-1-1-1-1-1222111-2111-2111111-2-22-2−2i2i−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i-1-1-12111-200000000000
χ512222-2-2-1-1-12-2-2-1-1-12-1-1-1-1-1-1222111-2111-2111111-2-2-222i−2i−2i2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i111-2-1-1-1200000000000
χ522222-2-2-1-1-12-2-2-1-1-12-1-1-1-1-1-1222111-2111-2111111-2-2-22−2i2i2i−2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i111-2-1-1-1200000000000
χ534444444-2-2-2-4-44-2-2-244-2-2-2-2-2-2-44-2-2-24-2-2-2-4-4222222000000-4222000000000000000000000000000000000000000000000000000
χ54444444-24-2-2-4-4-24-2-2-2-244-2-2-2-2-4-24-2-2-24-2-222-4-422220000002-422000000000000000000000000000000000000000000000000000
χ55444444-2-24-2-4-4-2-24-2-2-2-2-244-2-2-4-2-24-2-2-24-22222-4-42200000022-42000000000000000000000000000000000000000000000000000
χ56444444-2-2-24-4-4-2-2-24-2-2-2-2-2-244-4-2-2-24-2-2-24222222-4-4000000222-4000000000000000000000000000000000000000000000000000
χ574444-4-44-2-2-2444-2-2-244-2-2-2-2-2-2-4-4222-422244-2-2-2-2-2-2000000-4222000000000000000000000000000000000000000000000000000
χ584444-4-4-24-2-244-24-2-2-2-244-2-2-2-2-42-4222-422-2-244-2-2-2-20000002-422000000000000000000000000000000000000000000000000000
χ594444-4-4-2-24-244-2-24-2-2-2-2-244-2-2-422-4222-42-2-2-2-244-2-200000022-42000000000000000000000000000000000000000000000000000
χ604444-4-4-2-2-2444-2-2-24-2-2-2-2-2-244-4222-4222-4-2-2-2-2-2-244000000222-4000000000000000000000000000000000000000000000000000
χ6144-4-400444400-4-4-4-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000004i−4i000000000
χ6244-4-400444400-4-4-4-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000−4i4i000000000
χ634-44-40044444i−4i4444-4-4-4-4-4-4-4-40000000004i−4i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000
χ644-44-4004444−4i4i4444-4-4-4-4-4-4-4-4000000000−4i4i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000
χ654-44-4004-2-2-24i−4i4-2-2-2-4-42222220000000004i−4i−2i2i−2i2i−2i2i000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000000000000000000000000000
χ664-44-4004-2-2-24i−4i4-2-2-2-4-42222220000000004i−4i−2i2i−2i2i−2i2i000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000000000000000000000000000
χ674-44-4004-2-2-2−4i4i4-2-2-2-4-4222222000000000−4i4i2i−2i2i−2i2i−2i000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000000000000000000000000000000
χ684-44-4004-2-2-2−4i4i4-2-2-2-4-4222222000000000−4i4i2i−2i2i−2i2i−2i000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000000000000000000000000000000
χ694-44-400-24-2-24i−4i-24-2-222-4-42222000000000−2i2i4i−4i−2i2i−2i2i0000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000000000000000000000000000
χ704-44-400-24-2-24i−4i-24-2-222-4-42222000000000−2i2i4i−4i−2i2i−2i2i0000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.