Finite Group Databasebeta

← Group #11777502

Character table — Group #11777502

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212123666888812121212121212121212121224242424242424248888242424242424242412121212242424242424242424242424444488888812121212121212122424242424242424242424248824242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i-1-111-1-1-1-1-1-111iiii−i−i−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-1i−i11-1-11111-1-1-1-1ii−i−i1111-1-1-1-1i−iii−i−iii−i−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i-1-111-1-1-1-1-1-111iiii−i−i−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-1i−i-1-1111111-1-1-1-1ii−i−i-1-1-1-11111−ii−i−iii−i−iii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i-1-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii−i−i−i−iiiii11-1-1ii−i−iiiii−i−i−i−i-1-111−ii11-1-1-1-1-1-11111−i−iii1111-1-1-1-1i−iii−i−i−i−iii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i-1-111-1-1-1-1-1-111iiii−i−i−i−i−i−iii−i−i−i−iiiii11-1-1ii−i−iiiii−i−i−i−i-1-111−ii-1-111-1-1-1-11111−i−iii-1-1-1-11111−ii−i−iiiii−i−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii-1-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−iiiii−i−i−i−i11-1-1−i−iii−i−i−i−iiiii-1-111i−i11-1-1-1-1-1-11111ii−i−i1111-1-1-1-1−ii−i−iiiii−i−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii-1-111-1-1-1-1-1-111−i−i−i−iiiiiii−i−iiiii−i−i−i−i11-1-1−i−iii−i−i−i−iiiii-1-111i−i-1-111-1-1-1-11111ii−i−i-1-1-1-11111i−iii−i−i−i−iii1-1
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii-1-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii11-1-1−ii11-1-11111-1-1-1-1−i−iii1111-1-1-1-1−ii−i−iii−i−iii1-1
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii-1-111-1-1-1-1-1-111−i−i−i−iiiii−i−iii−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii11-1-1−ii-1-1111111-1-1-1-1−i−iii-1-1-1-11111i−iii−i−iii−i−i-11
χ172222222222-2-2-2-22222222222222222220000-2-2-2-2-2-22222-2-200000000222222222222-2-2-2-20000000000000000-2-2000000000000-2-2-2-200000000000000000000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-2-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022000000000000222200000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-222000011111111-1-1-1-100000000000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-2-2-2-2111111112222-2-20000-1-1-1-1-1-1-1-1111100000000000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i30000-2-20000−i3−i3i3i3−i3−i3i3i3111100000000000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i3-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i30000220000i3i3−i3−i3i3i3−i3−i3-1-1-1-100000000000000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i30000-2-20000i3i3−i3−i3i3i3−i3−i3111100000000000000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i3-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i30000220000−i3−i3i3i3−i3−i3i3i3-1-1-1-100000000000000000000
χ2722222222-122222-1-1-1222-1-12222-1-1-1-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1222-1-12222-1-1-1-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-11111111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222000022-2-222-2-2-2-2-2-2000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-2220000000000000000−2i2i000000000000−2i−2i2i2i00000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222000022-2-222-2-2-2-2-2-200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-22200000000000000002i−2i0000000000002i2i−2i−2i00000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12i2i−2i−2i-2-2-1-111111122−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii-1-1112i2i−2i−2i−i−i−i−iiiii22-2-22i−2i0000-1-1-1-11111−i−iii00000000000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12i2i−2i−2i-2-2-1-111111122−i−i−i−iiiii−2i−2i2i2iiiii−i−i−i−i-1-1112i2i−2i−2i−i−i−i−iiiii-2-222−2i2i00001111-1-1-1-1ii−i−i00000000000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1−2i−2i2i2i-2-2-1-111111122iiii−i−i−i−i2i2i−2i−2i−i−i−i−iiiii-1-111−2i−2i2i2iiiii−i−i−i−i-2-2222i−2i00001111-1-1-1-1−i−iii00000000000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1−2i−2i2i2i-2-2-1-111111122iiii−i−i−i−i−2i−2i2i2iiiii−i−i−i−i-1-111−2i−2i2i2iiiii−i−i−i−i22-2-2−2i2i0000-1-1-1-11111ii−i−i00000000000000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-100002211-1-11111-2-233−3−3−3−3332i2i−2i−2i−i−i−i−iiiii11-1-1000033−3−3−3−3330000−2i2i0000−i3−i3i3i3i3i3−i3−i3ii−i−i00000000000000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-100002211-1-11111-2-233−3−3−3−333−2i−2i2i2iiiii−i−i−i−i11-1-1000033−3−3−3−33300002i−2i0000i3i3−i3−i3−i3−i3i3i3−i−iii00000000000000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-100002211-1-11111-2-2−3−33333−3−32i2i−2i−2i−i−i−i−iiiii11-1-10000−3−33333−3−30000−2i2i0000i3i3−i3−i3−i3−i3i3i3ii−i−i00000000000000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-100002211-1-11111-2-2−3−33333−3−3−2i−2i2i2iiiii−i−i−i−i11-1-10000−3−33333−3−300002i−2i0000−i3−i3i3i3i3i3−i3−i3−i−iii00000000000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12i2i−2i−2i1122-2-21111-1-12i2i2i2i−2i−2i−2i−2i000000000000-1-111−i−iii−i−i−i−iiiii00000022-2-2000000000000-1-1-1-111112i−2i−i−iii000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-12i2i−2i−2i1122-2-21111-1-12i2i2i2i−2i−2i−2i−2i000000000000-1-111−i−iii−i−i−i−iiiii000000-2-2220000000000001111-1-1-1-1−2i2iii−i−i000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1−2i−2i2i2i1122-2-21111-1-1−2i−2i−2i−2i2i2i2i2i000000000000-1-111ii−i−iiiii−i−i−i−i00000022-2-2000000000000-1-1-1-11111−2i2iii−i−i000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1−2i−2i2i2i1122-2-21111-1-1−2i−2i−2i−2i2i2i2i2i000000000000-1-111ii−i−iiiii−i−i−i−i000000-2-2220000000000001111-1-1-1-12i−2i−i−iii000000
χ4522-2-22i−2i2i−2i222-22i−2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2-22i−2i2i−2i2i−2i2-2000000000000000000002-22i−2i0000000000002-22i−2i0000002-22-22i−2i2i−2i000000000000000000000000
χ4622-2-22i−2i2i−2i222-22i−2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-200002i−2i2-22i−2i2i−2i2i−2i2-2000000000000000000002-22i−2i000000000000-22−2i2i000000-22-22−2i2i−2i2i000000000000000000000000
χ4722-2-22i−2i2i−2i22-22−2i2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2i2i-22−2i2i2i−2i2i−2i-222ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000000000000000
χ4822-2-22i−2i2i−2i22-22−2i2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2i2i-22−2i2i2i−2i2i−2i-22−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000000000000000000000
χ4922-2-22i−2i2i−2i2-12-22i−2i2-2-21-112i−2i−ii−ii2i−2i-1-11100002i−2i-11−ii−ii−ii2-2−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-11−ii0000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ132-22i−2i000000-11-11−ii−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000
χ5022-2-22i−2i2i−2i2-12-22i−2i2-2-21-112i−2i−ii−ii2i−2i-1-11100002i−2i-11−ii−ii−ii2-2−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-11−ii0000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13-22−2i2i0000001-11-1i−ii−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000
χ5122-2-22i−2i2i−2i2-12-22i−2i2-2-21-112i−2i−ii−ii2i−2i-1-11100002i−2i-11−ii−ii−ii2-2ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13-22−2i2i0000001-11-1i−ii−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000
χ5222-2-22i−2i2i−2i2-12-22i−2i2-2-21-112i−2i−ii−ii2i−2i-1-11100002i−2i-11−ii−ii−ii2-2ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ132-22i−2i000000-11-11−ii−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.