Finite Group Databasebeta

← Group #11774183

Character table — Group #11774183

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order12224444334444666666121212121212121236661212121212121212121212121212121212121212224466668888121212122424242424242424888888882222444466444466666612121212121212126666121212121212121212121212121212121212121222446666888812121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111ii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111ii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii1111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1011-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1111-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1211-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1i−ii−i111-1i−i1-1-11-1-1i−iii−i−ii−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1311-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ1411-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1511-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1611-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−ii−ii111-1−ii1-1-11-1-1−ii−i−iii−ii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000002222222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000
χ18222222222-12222222-1-1-122-1-1-1-122-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-10000000000000000222222222-12222222-1-1-122-1-1-1-122-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-10000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000011110000000000000000222222222-12222222-1-1-122-1-1-1-122-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000011110000000000000000
χ20222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-21-21-21-211111-1-111-1-1110000−i3i3−i3i30000−i3i3−i3i30000000000000000222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-21-21-21-211111-1-111-1-1110000−i3i3−i3i30000−i3i3−i3i30000000000000000
χ21222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-21-21-21-211111-1-111-1-1110000i3−i3i3−i30000i3−i3i3−i30000000000000000222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-21-21-21-211111-1-111-1-1110000i3−i3i3−i30000i3−i3i3−i30000000000000000
χ2222222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000000022222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000111111110000000022222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100000000
χ2422222222-12-2-2-2-2-1-1-1222-1-12222-1-1-1-1-1-11-21-21-21-21111-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i30000000022222222-12-2-2-2-2-1-1-1222-1-12222-1-1-1-1-1-11-21-21-21-21111-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2522222222-12-2-2-2-2-1-1-1222-1-12222-1-1-1-1-1-11-21-21-21-21111-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i30000000022222222-12-2-2-2-2-1-1-1222-1-12222-1-1-1-1-1-11-21-21-21-21111-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ262222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000000000002222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ272222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12-12-1-21-21-1-1-1-11111111122-2-2-1-1-1-10000111100000000000000002222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12-12-1-21-21-1-1-1-11111111122-2-2-1-1-1-1000011110000000000000000
χ282222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12-12-1-21-21-1-1-1-111111111-2-22211110000-1-1-1-100000000000000002222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-12-12-1-21-21-1-1-1-111111111-2-22211110000-1-1-1-10000000000000000
χ292222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-21-212-12-1111111-1-111-1-10000−i3i3−i3i30000i3−i3i3−i300000000000000002222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-21-212-12-1111111-1-111-1-10000−i3i3−i3i30000i3−i3i3−i30000000000000000
χ302222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-21-212-12-1111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i300000000000000002222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-21-212-12-1111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i30000000000000000
χ312222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-12-121-21-2-1-1-1-111111111000000002i2i−2i−2i0000−i−i−i−iiiii000000002222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-12-121-21-2-1-1-1-111111111000000002i2i−2i−2i0000−i−i−i−iiiii00000000
χ322222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-12-121-21-2-1-1-1-11111111100000000−2i−2i2i2i0000iiii−i−i−i−i000000002222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-12-121-21-2-1-1-1-11111111100000000−2i−2i2i2i0000iiii−i−i−i−i00000000
χ332222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11-21-2-12-12111111-1-111-1-100000000000000003−33−3−33−33000000002222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11-21-2-12-12111111-1-111-1-100000000000000003−33−3−33−3300000000
χ342222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11-21-2-12-12111111-1-111-1-10000000000000000−33−333−33−3000000002222-2-2-2-2-12-2-222-1-1-122211-2-2-2-211-1-1-1-11-21-2-12-12111111-1-111-1-10000000000000000−33−333−33−300000000
χ3522-2-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-2-2-222−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022-2-22i−2i2i−2i22-22−2i2i2-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-2-2-222−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ3622-2-22i−2i2i−2i2-12-22i−2i2-2-2-1112i−2i−i−iii2i−2i-1-1112-1-212i−i−2ii-1-111−i−i−i−iiiii2-22i−2i-1-1110000−i−iii000000000000000022-2-22i−2i2i−2i2-12-22i−2i2-2-2-1112i−2i−i−iii2i−2i-1-1112-1-212i−i−2ii-1-111−i−i−i−iiiii2-22i−2i-1-1110000−i−iii0000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.