Finite Group Databasebeta

← Group #11812868

Character table — Group #11812868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order122222222222334444666666666666666666666634466666666666666666661212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212121212121224446612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-111
χ611111111111111-1-1-1-111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-111-1-1
χ711111111111111-1-1-1-111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-111-1-111-1-1
χ811111111111111-1-1-1-111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-11111-1-111-1-111
χ911111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ1011111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ1111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1
χ1211111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-111
χ1311111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-11111
χ1411111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-11111-1-1-1-1
χ1511111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1111111-1-1-1-1
χ1611111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-1-1-1-11111
χ172222222222222-122222222222222222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ182222222222222-122222222222222222-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ192222222222222-1-2-2-2-22222222222222-1-1-1-1-1-1-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000000000000000000000002-2-22-1-1-1-1111100000000
χ202222222222222-1-2-2-2-22222222222222-1-1-1-1-1-1-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111000000000000000000000000-222-21111-1-1-1-100000000
χ21222222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ22222222222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ23222222222222-12-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ24222222222222-12-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ2522222222-2-2-2-22-1222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-111-1-11100000000
χ2622222222-2-2-2-22-1222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000-2-22211-1-111-1-100000000
χ2722222222-2-2-2-22-1-2-2-2-222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1221111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000000000002-22-2-1-11111-1-100000000
χ2822222222-2-2-2-22-1-2-2-2-222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1221111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000-22-2211-1-1-1-11100000000
χ2922222222-2-2-2-2-122222-1-1-1-1-1111111112222222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ3022222222-2-2-2-2-122222-1-1-1-1-1111111112222222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ3122222222-2-2-2-2-12-2-2-2-2-1-1-1-1-1111111112222222-1-1-122-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ3222222222-2-2-2-2-12-2-2-2-2-1-1-1-1-1111111112222222-1-1-122-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ3322-2-22-22-222-2-2222i2i−2i−2i22-2-2-22222-2-2-2-222-2-22-2-22-222i−2i22-2-2222-2-2-22222-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ3422-2-22-22-222-2-222−2i−2i2i2i22-2-2-22222-2-2-2-222-2-22-2-22-22−2i2i22-2-2222-2-2-22222-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ3522-2-22-22-222-2-22-12i2i−2i−2i22-2-2-22222-2-2-2-2-1-111-1112-2-12i−2i-1-111-1-1-1111-1-1-1-111111−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000000000000000−i3i3−i3i33−33−300000000
χ3622-2-22-22-222-2-22-12i2i−2i−2i22-2-2-22222-2-2-2-2-1-111-1112-2-12i−2i-1-111-1-1-1111-1-1-1-111111−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000000000000000i3−i3i3−i3−33−3300000000
χ3722-2-22-22-222-2-22-1−2i−2i2i2i22-2-2-22222-2-2-2-2-1-111-1112-2-1−2i2i-1-111-1-1-1111-1-1-1-111111ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000000000000000−i3i3−i3i3−33−3300000000
χ3822-2-22-22-222-2-22-1−2i−2i2i2i22-2-2-22222-2-2-2-2-1-111-1112-2-1−2i2i-1-111-1-1-1111-1-1-1-111111ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000000000000000i3−i3i3−i33−33−300000000
χ3922-2-22-22-222-2-2-122i2i−2i−2i-1-1111-1-1-1-1111122-2-22-2-2-11-12i−2i22-2-2-1-1-1111-1-1-1-1111112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii00000000−i3−i3i3i3−i3−i3i3i333−3−333−3−300000000000000000000
χ4022-2-22-22-222-2-2-122i2i−2i−2i-1-1111-1-1-1-1111122-2-22-2-2-11-12i−2i22-2-2-1-1-1111-1-1-1-1111112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii00000000i3i3−i3−i3i3i3−i3−i3−3−333−3−33300000000000000000000
χ4122-2-22-22-222-2-2-12−2i−2i2i2i-1-1111-1-1-1-1111122-2-22-2-2-11-1−2i2i22-2-2-1-1-1111-1-1-1-111111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i00000000−i3−i3i3i3−i3−i3i3i3−3−333−3−33300000000000000000000
χ4222-2-22-22-222-2-2-12−2i−2i2i2i-1-1111-1-1-1-1111122-2-22-2-2-11-1−2i2i22-2-2-1-1-1111-1-1-1-111111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i00000000i3i3−i3−i3i3i3−i3−i333−3−333−3−300000000000000000000
χ4322-2-22-22-2-2-222222i2i−2i−2i22-2-2-2-2-2-2-2222222-2-22-2-22-22−2i2i-2-222222-2-2-2-2-2-2-22222-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ4422-2-22-22-2-2-22222−2i−2i2i2i22-2-2-2-2-2-2-2222222-2-22-2-22-222i−2i-2-222222-2-2-2-2-2-2-22222-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ4522-2-22-22-2-2-2222-12i2i−2i−2i22-2-2-2-2-2-2-22222-1-111-1112-2-1−2i2i11-1-1-1-1-11111111-1-1-1-11−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ4622-2-22-22-2-2-2222-12i2i−2i−2i22-2-2-2-2-2-2-22222-1-111-1112-2-1−2i2i11-1-1-1-1-11111111-1-1-1-11−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ4722-2-22-22-2-2-2222-1−2i−2i2i2i22-2-2-2-2-2-2-22222-1-111-1112-2-12i−2i11-1-1-1-1-11111111-1-1-1-11ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i3−333−300000000
χ4822-2-22-22-2-2-2222-1−2i−2i2i2i22-2-2-2-2-2-2-22222-1-111-1112-2-12i−2i11-1-1-1-1-11111111-1-1-1-11ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ4922-2-22-22-2-2-222-122i2i−2i−2i-1-11111111-1-1-1-122-2-22-2-2-11-1−2i2i-2-222-1-1-11111111-1-1-1-112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000000000000000
χ5022-2-22-22-2-2-222-122i2i−2i−2i-1-11111111-1-1-1-122-2-22-2-2-11-1−2i2i-2-222-1-1-11111111-1-1-1-112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000000000000000
χ5122-2-22-22-2-2-222-12−2i−2i2i2i-1-11111111-1-1-1-122-2-22-2-2-11-12i−2i-2-222-1-1-11111111-1-1-1-11−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−300000000000000000000
χ5222-2-22-22-2-2-222-12−2i−2i2i2i-1-11111111-1-1-1-122-2-22-2-2-11-12i−2i-2-222-1-1-11111111-1-1-1-11−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−33300000000000000000000
χ532-222-2-22-22-22-22200002-222-222-2-222-2-2-2-2-2-2222-2-22002-22-22-2-222-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000002i−2i002i−2i
χ542-222-2-22-22-22-22200002-222-222-2-222-2-2-2-2-2-2222-2-22002-22-22-2-222-222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000−2i2i00−2i2i
χ552-222-2-22-2-22-222200002-222-2-2-222-2-222-2-2-2-2222-2-2200-22-222-2-222-2-2-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000002i−2i00−2i2i
χ562-222-2-22-2-22-222200002-222-2-2-222-2-222-2-2-2-2222-2-2200-22-222-2-222-2-2-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000−2i2i002i−2i
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χ1274-4-444-4-440000-2-24-4-44222-22−2i32i3−2i32i32i3−2i32i3−2i3-222-222-2-2-21000000-11-1-11-1i3−i3i3−i3−i3i3−i3i31-222-20000-222-2−2i32i32i3−2i311-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1284-4-444-4-440000-2-24-4-44222-222i3−2i32i3−2i3−2i32i3−2i32i3-222-222-2-2-21000000-11-1-11-1−i3i3−i3i3i3−i3i3−i31-222-20000-222-22i3−2i3−2i32i311-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1294-4-444-4-440000-2-2-444-4222-22−2i32i3−2i32i32i3−2i32i3−2i3-222-222-2-2-21000000-11-1-11-1i3−i3i3−i3−i3i3−i3i312-2-2200002-2-222i3−2i3−2i32i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1304-4-444-4-440000-2-2-444-4222-222i3−2i32i3−2i3−2i32i3−2i32i3-222-222-2-2-21000000-11-1-11-1−i3i3−i3i3i3−i3i3−i312-2-2200002-2-22−2i32i32i3−2i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1314-4-4-4-44444-4-444-200004-4-4-4444-4-4-4-44422-2-2-222-44-200-222-2-22222-2-2-22222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-4-44-240000-2222-2-2-22222-2-2-4-4444-4-42-2-2004-4-44-22222-2-2-22222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4-4-44444-4-44-2-20000-2222-2-2-22222-2-222-2-2-2222-2100-222-21-1-1-1-1111-1-1-1-111100000000000000003-3-33-333-3-333-33-3-3300000000000000000000000000000000000000000000
χ1344-4-4-4-44444-4-44-2-20000-2222-2-2-22222-2-222-2-2-2222-2100-222-21-1-1-1-1111-1-1-1-11110000000000000000-333-33-3-333-3-33-333-300000000000000000000000000000000000000000000
χ1354-4-4-4-4444-444-44-200004-4-4-44-4-44444-4-422-2-2-222-44-2002-2-22-22222-222-2-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-444-4-240000-2222-222-2-2-2-222-4-4444-4-42-2-200-444-4-22222-222-2-2-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-444-4-2-20000-2222-222-2-2-2-22222-2-2-2222-21002-2-221-1-1-1-11-1-11111-1-1100000000000000003-3-33-333-33-3-33-333-300000000000000000000000000000000000000000000
χ1384-4-4-4-4444-444-4-2-20000-2222-222-2-2-2-22222-2-2-2222-21002-2-221-1-1-1-11-1-11111-1-110000000000000000-333-33-3-33-333-33-3-3300000000000000000000000000000000000000000000

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