Finite Group Databasebeta

← Group #13156739

Character table — Group #13156739

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1i−ii−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i11-1-111-1-1
χ1011-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1i−i−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-1-111-1-111
χ1111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1−iii−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-1-111-1-111
χ1211-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1−ii−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii11-1-111-1-1
χ1311-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1i−ii−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii11-1-1-1-111
χ1411-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1i−i−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-1-11111-1-1
χ1511-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1−iii−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-1-11111-1-1
χ1611-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1−ii−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i11-1-1-1-111
χ172222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-122220000000022-1-122-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-10000
χ182222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-122-2-20000000022-1-122-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-111111111-2-2-2-200000000000011110000
χ192222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-22200000000-2-211-2-21122-1-122-1-10000000011111111-1-1-1-1-1-1-1-1-2-2-2-200000000000011110000
χ202222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-10000-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211-2-211-2-211-2-2110000000011111111111111112222000000000000-1-1-1-10000
χ21222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1002222-1-122-1-100000000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ22222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-100-2-222-1-122-1-10000000011-2-211-2-2-1-1-1-1-1-1-1-10000000011111111000000-2-20000111100000000
χ23222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-10022-2-211-2-21100000000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ24222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2-2-211-2-2110000000011-2-211-2-2111111110000000011111111000000220000-1-1-1-100000000
χ2522222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-12200-1-122-1-122-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000000000
χ2622222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-1-1-1-1-1-1-1-1-2-200-1-122-1-12211-2-211-2-200000000-1-1-1-1-1-1-1-111111111000000000000-2-2001111000000000000
χ2722222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1220011-2-211-2-2-1-122-1-1220000000011111111-1-1-1-1-1-1-1-1000000000000-2-2001111000000000000
χ2822222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-1-1-1-1-1-1-1-1-2-20011-2-211-2-211-2-211-2-20000000011111111111111110000000000002200-1-1-1-1000000000000
χ29222-2-22-2-2222-2-2-2-22-22-22-22-2222-22-2-2-22222-2-22-2-22-2-222-2-22-2-222-222-2000022-2-222-2-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ30222-2-22-2-2222-2-2-2-22-22-22-22-2222-22-2-2-22222-2-22-2-22-2-222-2-22-2-222-222-2000022-2-222-2-20000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ31222-2-22-2-222-1-2-2-2-2-112-22-2-11222-2-111-222-1-1-2-2-111-11122-2-2-111-1-112-110000-1-111-1-11100000000000000−i3i300−i3i3003−3003−300000000−i3−i3i3i3−i3−i3i3i333−3−333−3−32i−2i2i−2i000000000000−ii−ii0000
χ32222-2-22-2-222-1-2-2-2-2-112-22-2-11222-2-111-222-1-1-2-2-111-11122-2-2-111-1-112-110000-1-111-1-11100000000000000−i3i300−i3i300−3300−3300000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333−2i2i−2i2i000000000000i−ii−i0000
χ33222-2-22-2-222-1-2-2-2-2-112-22-2-11222-2-111-222-1-1-2-2-111-11122-2-2-111-1-112-110000-1-111-1-11100000000000000i3−i300i3−i3003−3003−300000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3−2i2i−2i2i000000000000i−ii−i0000
χ34222-2-22-2-222-1-2-2-2-2-112-22-2-11222-2-111-222-1-1-2-2-111-11122-2-2-111-1-112-110000-1-111-1-11100000000000000i3−i300i3−i300−3300−3300000000i3i3−i3−i3i3i3−i3−i3−3−333−3−3332i−2i2i−2i000000000000−ii−ii0000
χ3522-22-2-22-2222-2-2-2-22-2-22-22-2222-22-22-22-2222-2-22-2-22-2-2-2-222-222-2-222-22000022-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000
χ3622-22-2-22-2222-2-2-2-22-2-22-22-2222-22-22-22-2222-2-22-2-22-2-2-2-222-222-2-222-22000022-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000
χ3722-22-2-22-222-1-2-2-2-2-11-22-221-122-221-112-22-1-1-2-2-111-111-2-2221-1-111-121-10000-1-11111-1-1000000000000003−300−3300−i3i300i3−i30000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i000000000000i−i−ii0000
χ3822-22-2-22-222-1-2-2-2-2-11-22-221-122-221-112-22-1-1-2-2-111-111-2-2221-1-111-121-10000-1-11111-1-1000000000000003−300−3300i3−i300−i3i30000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i32i−2i−2i2i000000000000−iii−i0000
χ3922-22-2-22-222-1-2-2-2-2-11-22-221-122-221-112-22-1-1-2-2-111-111-2-2221-1-111-121-10000-1-11111-1-100000000000000−33003−300−i3i300i3−i300000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i32i−2i−2i2i000000000000−iii−i0000
χ4022-22-2-22-222-1-2-2-2-2-11-22-221-122-221-112-22-1-1-2-2-111-111-2-2221-1-111-121-10000-1-11111-1-100000000000000−33003−300i3−i300−i3i300000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i000000000000i−i−ii0000
χ4122-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-111112i−2i2i−2i000000002i2i−i−i−2i−2iii2i2i−i−i−2i−2iii00000000−i−i−i−iiiii−i−i−i−iiiii22-2-2000000000000-1-1110000
χ4222-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-111112i−2i−2i2i000000002i2i−i−i−2i−2iii−2i−2iii2i2i−i−i00000000−i−i−i−iiiiiiiii−i−i−i−i-2-22200000000000011-1-10000
χ4322-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-11111−2i2i2i−2i00000000−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii00000000iiii−i−i−i−i−i−i−i−iiiii-2-22200000000000011-1-10000
χ4422-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112110000-1-1-1-11111−2i2i−2i2i00000000−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i00000000iiii−i−i−i−iiiii−i−i−i−i22-2-2000000000000-1-1110000
χ4522-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-2122-2-2-1-1-1-11111002i−2i22-1-1-2-21100000000−i−i2i2iii−2i−2i-1-1-1-1111100000000−i−i−i−iiiii0000002i−2i0000−i−iii00000000
χ4622-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-2122-2-2-1-1-1-1111100−2i2i22-1-1-2-21100000000ii−2i−2i−i−i2i2i-1-1-1-1111100000000iiii−i−i−i−i000000−2i2i0000ii−i−i00000000
χ4722-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-21-2-222-1-1-1-11111002i−2i-2-21122-1-100000000−i−i2i2iii−2i−2i1111-1-1-1-100000000−i−i−i−iiiii000000−2i2i0000ii−i−i00000000
χ4822-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-21-2-222-1-1-1-1111100−2i2i-2-21122-1-100000000ii−2i−2i−i−i2i2i1111-1-1-1-100000000iiii−i−i−i−i0000002i−2i0000−i−iii00000000
χ4922-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-222-2-2-1-1-1-111112i−2i00-1-12211-2-2−i−i2i2iii−2i−2i00000000-1-1-1-11111−i−i−i−iiiii0000000000002i−2i00−i−iii000000000000
χ5022-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-222-2-2-1-1-1-11111−2i2i00-1-12211-2-2ii−2i−2i−i−i2i2i00000000-1-1-1-11111iiii−i−i−i−i000000000000−2i2i00ii−i−i000000000000
χ5122-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-2-2-222-1-1-1-111112i−2i0011-2-2-1-122−i−i2i2iii−2i−2i000000001111-1-1-1-1−i−i−i−iiiii000000000000−2i2i00ii−i−i000000000000
χ5222-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-2-2-222-1-1-1-11111−2i2i0011-2-2-1-122ii−2i−2i−i−i2i2i000000001111-1-1-1-1iiii−i−i−i−i0000000000002i−2i00−i−iii000000000000
χ532-222-2-2-222222-22-2-22-222-2-2-2-2-22222-2-2-22222-2-22-2-22-22-22-2-22-22-2-2-2222i−2i2i−2i2-22-22-22-200002i−2i2i−2i2i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ542-222-2-2-222222-22-2-22-222-2-2-2-2-22222-2-2-22222-2-22-2-22-22-22-2-22-22-2-2-222−2i2i−2i2i2-22-22-22-20000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ552-222-2-2-222-122-2-11-22-22-11-2-2-212-122-2-21-12-1-11-22-21-11-11-11-22-2-11112-12i−2i2i−2i-11-11-11-1100002i−2i−ii2i−2i−ii00000000−i3i300−i3i300−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i30000000000003−33−300000000
χ562-222-2-2-222-122-2-11-22-22-11-2-2-212-122-2-21-12-1-11-22-21-11-11-11-22-2-11112-12i−2i2i−2i-11-11-11-1100002i−2i−ii2i−2i−ii00000000i3−i300i3−i300−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i3000000000000−33−3300000000
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χ1364-4-4-4-4444-2-24-22-22-44-222-2442222-4-4-4-2-21-2-21-12-222-22-11-11-22-22-2-2-122−4i4i4i−4i1-11-1-11-1100002i−2i2i−2i−2i2i−2i2i0000000000000000−i−iiiii−i−i0000000000000000000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ138888-8-88-8-8-4-4-44444-44-44-44-44-4-4-44-4444-4222-2-22-2-22-2-222-2-22-2-222-222-20000-1-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-88-8-88-8-4-4-44444-444-44-44-4-4-44-44-44-44222-2-22-2-22-2-2-2-222-222-2-222-220000-1-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-88-8-88-4-4-4-4-4-4-4-4-4444444-4-44444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-8-8-88-4-4-4-44-444-44-4-444444-4-4-4-44442222-2-22-2-22-22-22-2-22-22-2-2-2220000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-88-8-4-4-44-44-44444-4-44-444-44-44-4-44222-22-2-22-2-222-2-22-2-222-22-22-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-4-4-44-44-444-4-444-44444-44-4-44-4222-22-2-22-2-22-222-222-2-22-2-2-220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-4-4-4-44-444-4-444-4-4-44444444-4-42222-2-22-2-22-2-22-222-22-222-2-2-20000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).