Finite Group Databasebeta

← Group #11777597

Character table — Group #11777597

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122244443344446666661212121212121212366688881212121212121212121212122424242424242424888824242424242424241212121224242424242424242424242422446666888888121212122424242424242424242424244412121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111ii−i−i11-1-111-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-11111i−iii−i−i-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-111-1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111ii−i−i11-1-111-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-11111i−i−i−iii-1-1-1-1ii−i−i−i−i−i−iiiii-11-1-111-1-111−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111ii−i−i11-1-111-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii11-1-1ii−i−iiiii−i−i−i−i-1-111-1-1-1-1−iiii−i−i1111−i−iiiiiii−i−i−i−i1-111-1-1-1-111−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111ii−i−i11-1-111-1-1-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii11-1-1ii−i−iiiii−i−i−i−i-1-111-1-1-1-1−ii−i−iii1111−i−iii−i−i−i−iiiii-11-1-11111-1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−i−iii11-1-111-1-1-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i11-1-1−i−iii−i−i−i−iiiii-1-111-1-1-1-1i−iii−i−i1111ii−i−iiiii−i−i−i−i-11-1-11111-1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−i−iii11-1-111-1-1-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i11-1-1−i−iii−i−i−i−iiiii-1-111-1-1-1-1i−i−i−iii1111ii−i−i−i−i−i−iiiii1-111-1-1-1-111i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−i−iii11-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii11-1-11111−iiii−i−i-1-1-1-1−i−iiiiiii−i−i−i−i-11-1-111-1-111i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111−i−iii11-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii11-1-11111−ii−i−iii-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-111-1-1−ii
χ172222222222-2-2-2-22222222222222222220000-2-2-2-2-2-22222-2-200000000222222222222-2-2-2-200000000000000000000-2-200000000-2-2-2-200000000000000000000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-2-2-22222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000002200000000222200000000000000000000
χ19222222222-122222-1-122-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222-1-122-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-200001111111100000000000000000000
χ21222222222-122222-1-122-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-122111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211112200001111-1-1-1-100000000000000000000
χ22222222222-122222-1-122-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-12211111111-2-2-2-211111111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-2-20000-1-1-1-1111100000000000000000000
χ23222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-100001111-2-2-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3-2-20000−i3−i3i3i3111100000000000000000000
χ24222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-100001111-2-2-1-1-1-1-2-2−i3−i3i3i3−i3−i3i3i3-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i30000i3i3−i3−i3220000i3i3−i3−i3-1-1-1-100000000000000000000
χ25222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-100001111-2-2-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3-2-20000i3i3−i3−i3111100000000000000000000
χ26222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-100001111-2-2-1-1-1-1-2-2i3i3−i3−i3i3i3−i3−i3-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i3220000−i3−i3i3i3-1-1-1-100000000000000000000
χ2722222222-122222-122-1-12-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000222200000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-122-1-12-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000011111111-2-21111000000
χ2922222222-122222-122-1-12-1-1-1-12222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-11111111111110000000000222200000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-122-1-12-1-1-1-12222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-11111111111110000000000-2-2-2-2000000001111111122-1-1-1-1000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222220000-2-222-2-2-2-2-2-222000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-22200000000000000000000−2i2i00000000−2i−2i2i2i00000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222220000-2-222-2-2-2-2-2-22200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000002i−2i000000002i2i−2i−2i00000000000000000000
χ332222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-1000011-1-1-2-211112233−3−3−3−3332i2i−2i−2i−i−i−i−iiiii11-1-1000033−3−3−3−3330000−i3−i3i3i3−2i2i0000i3i3−i3−i3ii−i−i00000000000000000000
χ342222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-1000011-1-1-2-211112233−3−3−3−333−2i−2i2i2iiiii−i−i−i−i11-1-1000033−3−3−3−3330000i3i3−i3−i32i−2i0000−i3−i3i3i3−i−iii00000000000000000000
χ352222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-1000011-1-1-2-2111122−3−33333−3−32i2i−2i−2i−i−i−i−iiiii11-1-10000−3−33333−3−30000i3i3−i3−i3−2i2i0000−i3−i3i3i3ii−i−i00000000000000000000
χ362222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-1000011-1-1-2-2111122−3−33333−3−3−2i−2i2i2iiiii−i−i−i−i11-1-10000−3−33333−3−30000−i3−i3i3i32i−2i0000i3i3−i3−i3−i−iii00000000000000000000
χ372222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-12i2i−2i−2i-1-111221111-2-2−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii-1-1112i2i−2i−2i−i−i−i−iiiii22-2-2-1-1-1-12i−2i00001111−i−iii00000000000000000000
χ382222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-12i2i−2i−2i-1-111221111-2-2−i−i−i−iiiii−2i−2i2i2iiiii−i−i−i−i-1-1112i2i−2i−2i−i−i−i−iiiii-2-2221111−2i2i0000-1-1-1-1ii−i−i00000000000000000000
χ392222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-1−2i−2i2i2i-1-111221111-2-2iiii−i−i−i−i2i2i−2i−2i−i−i−i−iiiii-1-111−2i−2i2i2iiiii−i−i−i−i-2-22211112i−2i0000-1-1-1-1−i−iii00000000000000000000
χ402222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-1−2i−2i2i2i-1-111221111-2-2iiii−i−i−i−i−2i−2i2i2iiiii−i−i−i−i-1-111−2i−2i2i2iiiii−i−i−i−i22-2-2-1-1-1-1−2i2i00001111ii−i−i00000000000000000000
χ412222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-12i2i−2i−2i22-2-2-1-11111112i2i2i2i−2i−2i−2i−2i000000000000-1-111−i−iii−i−i−i−iiiii00000000002i2i−2i−2i00000000−i−i−i−iiiii2-2-1-111000000
χ422222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-12i2i−2i−2i22-2-2-1-11111112i2i2i2i−2i−2i−2i−2i000000000000-1-111−i−iii−i−i−i−iiiii0000000000−2i−2i2i2i00000000iiii−i−i−i−i-2211-1-1000000
χ432222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-1−2i−2i2i2i22-2-2-1-1111111−2i−2i−2i−2i2i2i2i2i000000000000-1-111ii−i−iiiii−i−i−i−i00000000002i2i−2i−2i00000000−i−i−i−iiiii-2211-1-1000000
χ442222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-1−2i−2i2i2i22-2-2-1-1111111−2i−2i−2i−2i2i2i2i2i000000000000-1-111ii−i−iiiii−i−i−i−i0000000000−2i−2i2i2i00000000iiii−i−i−i−i2-2-1-111000000
χ4522-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i00000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000002−2−i2i200
χ4622-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i00000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000000000000000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−22i2−i200
χ4722-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i0000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−22i2−i200
χ4822-2-22i−2i2i−2i220000-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-200000000002i−2i2i−2i0000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000000000000000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000002−2−i2i200
χ4922-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i0000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000002−2i2−i200
χ5022-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i0000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000000000000000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−22−i2i200
χ5122-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i00000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−22−i2i200
χ5222-2-2−2i2i−2i2i220000-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-20000000000−2i2i−2i2i00000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000000000000000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000002−2i2−i200
χ532-22-22i−2i−2i2i222i−2i2-2-2-22-22-22i−2i−2i2i2i−2i−2i2i2-22-200002-22i−2i2-22i−2i−2i2i2i−2i000000000000000000002-22i−2i0000000000002-22i−2i2-22-20000002i−2i2i−2i000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.