Finite Group Databasebeta

← Group #11789775

Character table — Group #11789775

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222233444444444444666666666666663666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888888888884444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ51111111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-11-11-111ii−i−i1-1ii−i−i1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-111-1-1ii−i−iii−i−i11-1-1
χ1011-1-11-11-111ii−i−i1-1ii−i−i1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11-1-111−i−iii−i−iii-1-111
χ1111-1-11-11-111ii−i−i1-1ii−i−i1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1−iii−i-1111-1-1−i−iiiii−i−i-1-111
χ1211-1-11-11-111ii−i−i1-1ii−i−i1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11i−i−ii1-1-1-111ii−i−i−i−iii11-1-1
χ1311-1-11-11-111−i−iii1-1−i−iii1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-111111-1i−i−ii-1111-1-1ii−i−i−i−iii-1-111
χ1411-1-11-11-111−i−iii1-1−i−iii1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111-11−iii−i1-1-1-111−i−iiiii−i−i11-1-1
χ1511-1-11-11-111−i−iii1-1−i−iii1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-111-1-1−i−iii−i−iii11-1-1
χ1611-1-11-11-111−i−iii1-1−i−iii1-1111-1-1-11-1-1-11-11-1111-1-11-1-111-1-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11-1-111ii−i−iii−i−i-1-111
χ1722222222222222-2-2-2-2-2-2-2-22222222222222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-22222-2-22222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-122222222222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022002200-1-1-1-10000-1-1-1-10000
χ20222222222-122222222222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200-2-2001111000011110000
χ21222222222-12222-2-2-2-2-2-2-2-222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1111122-1-1-2-222-1-1-2-2-2-2-2-2111111111111-1-1-1-11111-1-1-1-11111000000000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ22222222222-12222-2-2-2-2-2-2-2-222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1111122-1-1-2-222-1-1-2-2-2-2-2-2111111111111-1-1-1-11111-1-1-1-11111000000000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ23222222222-1-2-2-2-222-2-2-2-22222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211-2-222221111-1-1-1-1-1-1-1-1111111111111111100000000000000002200-2-200-1-1-1-1000011110000
χ24222222222-1-2-2-2-222-2-2-2-22222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211-2-222221111-1-1-1-1-1-1-1-111111111111111110000000000000000-2-200220011110000-1-1-1-10000
χ25222222222-1-2-2-2-2-2-22222-2-222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-11111-2-21122-2-21122-2-2-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3−i3i30000i3−i3i3−i30000
χ26222222222-1-2-2-2-2-2-22222-2-222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-11111-2-21122-2-21122-2-2-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3i3−i30000−i3i3−i3i30000
χ2722222222-12222222222222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002200220000-1-1-1-10000-1-1-1-1
χ2822222222-12222222222222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20000111100001111
χ2922222222-122222-2-2-2-2-2-2-2-2-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-12211-1-122111111-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3
χ3022222222-122222-2-2-2-2-2-2-2-2-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-12211-1-122111111-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i30000i3−i3i3−i3
χ3122222222-12-2-2-2-222-2-2-2-222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-1222211-2-21111-2-211-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000002200-2-20000-1-1-1-100001111
χ3222222222-12-2-2-2-222-2-2-2-222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-1222211-2-21111-2-211-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-20022000011110000-1-1-1-1
χ3322222222-12-2-2-2-2-2-22222-2-2-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-211-2-2-1-111-2-2-1-111112222111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3
χ3422222222-12-2-2-2-2-2-22222-2-2-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-211-2-2-1-111-2-2-1-111112222111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3
χ352222-2-2-2-2222-22-2000000002-2222-2-22-22-2-2-2-222-22-2-22-200002-22-2002-22-200000000000000000022-2-2000022-2-2000022−2−222−2−222−2−222−2−2000000000000000000000000
χ362222-2-2-2-2222-22-2000000002-2222-2-22-22-2-2-2-222-22-2-22-200002-22-2002-22-200000000000000000022-2-2000022-2-20000−2−222−2−222−2−222−2−222000000000000000000000000
χ372222-2-2-2-222-22-22000000002-2222-2-22-22-2-2-2-222-22-2-22-20000-22-2200-22-22000000000000000000-2-2220000-2-222000022−2−222−2−2−2−222−2−222000000000000000000000000
χ382222-2-2-2-222-22-22000000002-2222-2-22-22-2-2-2-222-22-2-22-20000-22-2200-22-22000000000000000000-2-2220000-2-2220000−2−222−2−22222−2−222−2−2000000000000000000000000
χ3922-2-22-22-2222i2i−2i−2i-22−2i−2i2i2i-22222-2-2-22-2-2-22-22-2222-2-22-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ4022-2-22-22-222−2i−2i2i2i-222i2i−2i−2i-22222-2-2-22-2-2-22-22-2222-2-22-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ4122-2-22-22-22-12i2i−2i−2i2-22i2i−2i−2i2-222-1-211-1-2-21-1-221-1-1-111-111-1-1112i2i−i−i2i2i−2i−2iii−2i−2i22-2-2−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000002-2002i−2i00-1-1110000−i−iii0000
χ4222-2-22-22-22-12i2i−2i−2i2-22i2i−2i−2i2-222-1-211-1-2-21-1-221-1-1-111-111-1-1112i2i−i−i2i2i−2i−2iii−2i−2i22-2-2−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ4322-2-22-22-22-12i2i−2i−2i-22−2i−2i2i2i-2222-1-211-1-2-21-1-221-1-1-111-11111-1-12i2i−i−i−2i−2i−2i−2iii2i2i-2-222ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000−i3i3i3−i300003−3−330000
χ4422-2-22-22-22-12i2i−2i−2i-22−2i−2i2i2i-2222-1-211-1-2-21-1-221-1-1-111-11111-1-12i2i−i−i−2i−2i−2i−2iii2i2i-2-222ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000i3−i3−i3i30000−333−30000
χ4522-2-22-22-22-1−2i−2i2i2i2-2−2i−2i2i2i2-222-1-211-1-2-21-1-221-1-1-111-111-1-111−2i−2iii−2i−2i2i2i−i−i2i2i22-2-2ii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ4622-2-22-22-22-1−2i−2i2i2i2-2−2i−2i2i2i2-222-1-211-1-2-21-1-221-1-1-111-111-1-111−2i−2iii−2i−2i2i2i−i−i2i2i22-2-2ii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000-22002i−2i0011-1-10000−i−iii0000
χ4722-2-22-22-22-1−2i−2i2i2i-222i2i−2i−2i-2222-1-211-1-2-21-1-221-1-1-111-11111-1-1−2i−2iii2i2i2i2i−i−i−2i−2i-2-222−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000−i3i3i3−i30000−333−30000
χ4822-2-22-22-22-1−2i−2i2i2i-222i2i−2i−2i-2222-1-211-1-2-21-1-221-1-1-111-11111-1-1−2i−2iii2i2i2i2i−i−i−2i−2i-2-222−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000i3−i3−i3i300003−3−330000
χ4922-2-22-22-2-122i2i−2i−2i2-22i2i−2i−2i2-2-1-121-2-2211-221-1-2-1-1-111-11122-2-2−i−i2i2i−i−iii−2i−2iii-1-1112i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000002i−2i002-20000−i−iii0000-1-111
χ5022-2-22-22-2-122i2i−2i−2i2-22i2i−2i−2i2-2-1-121-2-2211-221-1-2-1-1-111-11122-2-2−i−i2i2i−i−iii−2i−2iii-1-1112i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000−2i2i00-220000ii−i−i000011-1-1
χ5122-2-22-22-2-122i2i−2i−2i-22−2i−2i2i2i-22-1-121-2-2211-221-1-2-1-1-111-111-2-222−i−i2i2iiiii−2i−2i−i−i11-1-1−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000003−3−330000−i3i3i3−i3
χ5222-2-22-22-2-122i2i−2i−2i-22−2i−2i2i2i-22-1-121-2-2211-221-1-2-1-1-111-111-2-222−i−i2i2iiiii−2i−2i−i−i11-1-1−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−333−30000i3−i3−i3i3
χ5322-2-22-22-2-12−2i−2i2i2i2-2−2i−2i2i2i2-2-1-121-2-2211-221-1-2-1-1-111-11122-2-2ii−2i−2iii−i−i2i2i−i−i-1-111−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000002i−2i00-220000−i−iii000011-1-1
χ5422-2-22-22-2-12−2i−2i2i2i2-2−2i−2i2i2i2-2-1-121-2-2211-221-1-2-1-1-111-11122-2-2ii−2i−2iii−i−i2i2i−i−i-1-111−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000−2i2i002-20000ii−i−i0000-1-111
χ5522-2-22-22-2-12−2i−2i2i2i-222i2i−2i−2i-22-1-121-2-2211-221-1-2-1-1-111-111-2-222ii−2i−2i−i−i−i−i2i2iii11-1-12i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000003−3−330000i3−i3−i3i3
χ5622-2-22-22-2-12−2i−2i2i2i-222i2i−2i−2i-22-1-121-2-2211-221-1-2-1-1-111-111-2-222ii−2i−2i−i−i−i−i2i2iii11-1-12i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−333−30000−i3i3i3−i3
χ5722-2-2-22-22222i−2i−2i2i000000002-22-2-22-2-22-2-22-2222-2-22-2-2200002i−2i2i−2i00−2i2i−2i2i0000000000000000002i2i−2i−2i0000−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000000000000000
χ5822-2-2-22-22222i−2i−2i2i000000002-22-2-22-2-22-2-22-2222-2-22-2-2200002i−2i2i−2i00−2i2i−2i2i0000000000000000002i2i−2i−2i0000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000000000000000
χ5922-2-2-22-2222−2i2i2i−2i000000002-22-2-22-2-22-2-22-2222-2-22-2-220000−2i2i−2i2i002i−2i2i−2i000000000000000000−2i−2i2i2i00002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000000000000000
χ6022-2-2-22-2222−2i2i2i−2i000000002-22-2-22-2-22-2-22-2222-2-22-2-220000−2i2i−2i2i002i−2i2i−2i000000000000000000−2i−2i2i2i00002i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000000000000000
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χ7844444444-2-24444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111112222-2-2-2-222-2-2-2-22222222222-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
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χ1104-44-4-444-44-20000-4400004-4-4-424-2-2-2-4-422442-222-2-2-2222-22-2000000000000-44-44000022-2-222-2-200000000000000000000000000000000000000000000000000000000
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χ1124-44-4-444-4-240000-4400004-422-4-244422-4-4-2-2-4-222-2-2-222-44-440000000000002-22-2000022-2-222-2-200000000000000000000000000000000000000000000000000000000
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χ1234-4-4444-4-4-2-2000000−4i4i4i−4i002-2222-22-22-2-2-2221-11-11-11-1000000002i−2i0000−2i2i00002i−2i−2i2i3i−3i−3i3i−3i3i3i−3i3-33-3−i−iii-33-33ii−i−i0000000000000000000000000000000000000000
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χ1284-4-44-4-444-240000-4-400004422-42-4-44-2-24-42-24-22222-2-2-2-444-40000000000002-2-22000022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ1294-4-44-4-444-2-20000440000-4-4222222-2-2-2-222-2-21-1-1-1-1111-222-2000000000000-222-2000011-1-1-1-1113-3-33-333-3-333-33-3-330000000000000000000000000000000000000000
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χ1314-4-44-4-444-2-20000-4-4000044222222-2-2-2-222-2-21-1-1-1-11112-2-220000000000002-2-220000-1-11111-1-13-3-333-3-33-333-3-333-30000000000000000000000000000000000000000
χ1324-4-44-4-444-2-20000-4-4000044222222-2-2-2-222-2-21-1-1-1-11112-2-220000000000002-2-220000-1-11111-1-1-333-3-333-33-3-333-3-330000000000000000000000000000000000000000

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