Finite Group Databasebeta

← Group #11819208

Character table — Group #11819208

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order122222222222336666666666666634444666666666666666666666661212121212121212121212121212121212121212121212121212121212121212444444444444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-11111-1-1-1-1-1-111-1-111-1-11111
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-1-1-11111
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ1311111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-111-1-1
χ1411111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-111
χ1511111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-11111-1-111
χ1611111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ172222222222222-12222-1-1-12-1-1-1-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000002002-1-1-1-1-1-1-1-100000000000000
χ182222222222222-12222-1-1-12-1-1-1-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-200-21111111100000000000000
χ192222222222222-12222-1-1-12-1-1-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111222200000000-200-2-1-11111-1-100000000000000
χ202222222222222-12222-1-1-12-1-1-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-200000000200211-1-1-1-11100000000000000
χ21222222222222-12-1-1-1-1222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000022000000000-1-1-1-1-1-1-1-1000000
χ22222222222222-12-1-1-1-1222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000-2-200000000011111111000000
χ23222222222222-12-1-1-1-1222-12222-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000222200000-2-2000000000-1-1-1-11111000000
χ24222222222222-12-1-1-1-1222-12222-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111110000-2-2-2-200000220000000001111-1-1-1-1000000
χ2522222222-2-2-2-22-12222-1-1-12-1-1-1-122-122-2-2-2-2-2-21111-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-200000000200-2-1-1-1-1111100000000000000
χ2622222222-2-2-2-22-12222-1-1-12-1-1-1-122-122-2-2-2-2-2-21111-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-22200000000-20021111-1-1-1-100000000000000
χ2722222222-2-2-2-22-12222-1-1-12-1-1-1-122-1-2-222-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-200000000-2002-1-111-1-11100000000000000
χ2822222222-2-2-2-22-12222-1-1-12-1-1-1-122-1-2-222-2-2-2-21111-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-22200000000200-211-1-111-1-100000000000000
χ2922222222-2-2-2-2-12-1-1-1-1222-12222-1-1-122-2-21111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000022-2-2000002-2000000000-1-111-1-111000000
χ3022222222-2-2-2-2-12-1-1-1-1222-12222-1-1-122-2-21111-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000-2-22200000-2200000000011-1-111-1-1000000
χ3122222222-2-2-2-2-12-1-1-1-1222-12222-1-1-1-2-2221111-2-2-2-2-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000022-2-200000-22000000000-1-11111-1-1000000
χ3222222222-2-2-2-2-12-1-1-1-1222-12222-1-1-1-2-2221111-2-2-2-2-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-10000-2-222000002-200000000011-1-1-1-111000000
χ3322-222-2-2-20000222-2-2-22-2-222-2-222-22002-20000000022-2-2-2-2000000002000022-2-2000022-2-2000000002222-2-2-2-2000000002i2i−2i−2i00000000000000000000002i−2i00
χ3422-222-2-2-20000222-2-2-22-2-222-2-222-22002-20000000022-2-2-2-2000000002000022-2-2000022-2-2000000002222-2-2-2-200000000−2i−2i2i2i0000000000000000000000−2i2i00
χ3522-222-2-2-20000222-2-2-22-2-222-2-222-2200-220000000022-2-2-2-20000000020000-2-2220000-2-22200000000-2-2-2-22222000000002i2i−2i−2i0000000000000000000000−2i2i00
χ3622-222-2-2-20000222-2-2-22-2-222-2-222-2200-220000000022-2-2-2-20000000020000-2-2220000-2-22200000000-2-2-2-2222200000000−2i−2i2i2i00000000000000000000002i−2i00
χ3722-2-2-2-22222-2-222222-2-22-2-222-2-2-2-22000022-2-222-2-22-222-2-22222-2-2-2-2-2000000000000000000000000000000002i−2i2i−2i0000000000002i−2i00002i−2i00000000000000
χ3822-2-2-2-22222-2-222222-2-22-2-222-2-2-2-22000022-2-222-2-22-222-2-22222-2-2-2-2-200000000000000000000000000000000−2i2i−2i2i000000000000−2i2i0000−2i2i00000000000000
χ3922-2-2-2-22222-2-22-1222-21-11-2-1-111-2-2-1000022-2-2-1-111-11-1-111-1-1-1-1111110000000033−3−33−33−33333−3−3−3−333−3−333−3−32i−2i2i−2i000000000000−ii−i3i3−i3i3−ii00000000000000
χ4022-2-2-2-22222-2-22-1222-21-11-2-1-111-2-2-1000022-2-2-1-111-11-1-111-1-1-1-1111110000000033−3−33−33−33333−3−3−3−333−3−333−3−3−2i2i−2i2i000000000000i−ii3−i3i3−i3i−i00000000000000
χ4122-2-2-2-22222-2-22-1222-21-11-2-1-111-2-2-1000022-2-2-1-111-11-1-111-1-1-1-11111100000000−3−333−33−33−3−3−3−33333−3−333−3−3332i−2i2i−2i000000000000−iii3−i3i3−i3−ii00000000000000
χ4222-2-2-2-22222-2-22-1222-21-11-2-1-111-2-2-1000022-2-2-1-111-11-1-111-1-1-1-11111100000000−3−333−33−33−3−3−3−33333−3−333−3−333−2i2i−2i2i000000000000i−i−i3i3−i3i3i−i00000000000000
χ4322-2-2-2-222-2-22222222-2-22-2-222-2-2-2-220000-2-222-2-2222-222-2-2-2-2-2-22222-2000000000000000000000000000000002i−2i−2i2i0000000000002i−2i0000−2i2i00000000000000
χ4422-2-2-2-222-2-22222222-2-22-2-222-2-2-2-220000-2-222-2-2222-222-2-2-2-2-2-22222-200000000000000000000000000000000−2i2i2i−2i000000000000−2i2i00002i−2i00000000000000
χ4522-2-2-2-222-2-2222-1222-21-11-2-1-111-2-2-10000-2-22211-1-1-11-1-1111111-1-1-1-110000000033−3−3−33−333333−3−3−3−3−3−333−3−3332i−2i−2i2i000000000000−ii−i3i3i3−i3i−i00000000000000
χ4622-2-2-2-222-2-2222-1222-21-11-2-1-111-2-2-10000-2-22211-1-1-11-1-1111111-1-1-1-110000000033−3−3−33−333333−3−3−3−3−3−333−3−333−2i2i2i−2i000000000000i−ii3−i3−i3i3−ii00000000000000
χ4722-2-2-2-222-2-2222-1222-21-11-2-1-111-2-2-10000-2-22211-1-1-11-1-1111111-1-1-1-1100000000−3−3333−33−3−3−3−3−3333333−3−333−3−32i−2i−2i2i000000000000−iii3−i3−i3i3i−i00000000000000
χ4822-2-2-2-222-2-2222-1222-21-11-2-1-111-2-2-10000-2-22211-1-1-11-1-1111111-1-1-1-1100000000−3−3333−33−3−3−3−3−3333333−3−333−3−3−2i2i2i−2i000000000000i−i−i3i3i3−i3−ii00000000000000
χ492-222-2-22-22-22-222-22-22-22-22-2-222-2-2200002-22-22-22-2-2-22-22-222-2-222-2-220000000000000000000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ502-222-2-22-22-22-222-22-22-22-22-2-222-2-2200002-22-22-22-2-2-22-22-222-2-222-2-22000000000000000000000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ512-222-2-22-22-22-2-121-11-1-22-2-1-2-22211-10000-11-112-22-211-11-11-1-111-1-111-1−i3−i3i3i3−i3i3−i3i300000000−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ522-222-2-22-22-22-2-121-11-1-22-2-1-2-22211-10000-11-112-22-211-11-11-1-111-1-111-1−i3−i3i3i3−i3i3−i3i300000000−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ532-222-2-22-22-22-2-121-11-1-22-2-1-2-22211-10000-11-112-22-211-11-11-1-111-1-111-1i3i3−i3−i3i3−i3i3−i300000000i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ542-222-2-22-22-22-2-121-11-1-22-2-1-2-22211-10000-11-112-22-211-11-11-1-111-1-111-1i3i3−i3−i3i3−i3i3−i300000000i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ552-222-2-22-2-22-2222-22-22-22-22-2-222-2-220000-22-22-22-22-2-22-22-2-2-222-2-22220000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ562-222-2-22-2-22-2222-22-22-22-22-2-222-2-220000-22-22-22-22-2-22-22-2-2-222-2-2222000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ572-222-2-22-2-22-22-121-11-1-22-2-1-2-22211-100001-11-1-22-2211-11-1111-1-111-1-1-1−i3−i3i3i3i3−i3i3−i300000000−i3−i3i3i3−i3−i3i3i3i3−i3i3−i3i3−i3i3−i300002i−2i−2i2i0000000000000000−iii−i3−3−33000000
χ582-222-2-22-2-22-22-121-11-1-22-2-1-2-22211-100001-11-1-22-2211-11-1111-1-111-1-1-1−i3−i3i3i3i3−i3i3−i300000000−i3−i3i3i3−i3−i3i3i3i3−i3i3−i3i3−i3i3−i30000−2i2i2i−2i0000000000000000i−i−ii−333−3000000
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χ602-222-2-22-2-22-22-121-11-1-22-2-1-2-22211-100001-11-1-22-2211-11-1111-1-111-1-1-1i3i3−i3−i3−i3i3−i3i300000000i3i3−i3−i3i3i3−i3−i3−i3i3−i3i3−i3i3−i3i30000−2i2i2i−2i0000000000000000i−i−ii3−3−33000000
χ612-22-22-2-22000022-2-2222-2-2-2-222-22-222i−2i0000000000-22-222-200000000-22i−2i2i−2i00002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000000000002-22-2000000000000000000002i−2i0000
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χ632-22-22-2-22000022-2-2222-2-2-2-222-22-22−2i2i0000000000-22-222-200000000-2−2i2i−2i2i0000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000000000002-22-200000000000000000000−2i2i0000
χ642-22-22-2-22000022-2-2222-2-2-2-222-22-22−2i2i0000000000-22-222-200000000-2−2i2i−2i2i0000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000-22-22000000000000000000002i−2i0000
χ652-2-2-2222-22-2-2222-22-2-2222-2-2-2-2-222200002-2-222-2-22-222-2-2222-2-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i0000000000000000000000002i−2i
χ662-2-2-2222-22-2-2222-22-2-2222-2-2-2-2-222200002-2-222-2-22-222-2-2222-2-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i000000000000000000000000−2i2i
χ672-2-2-2222-2-222-222-22-2-2222-2-2-2-2-22220000-222-2-222-2-222-2-22-2-22222-2-2-200000000000000000000000000000000000000002i−2i−2i2i000000000000000000000000−2i2i
χ682-2-2-2222-2-222-222-22-2-2222-2-2-2-2-22220000-222-2-222-2-222-2-22-2-22222-2-2-20000000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000002i−2i
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χ70444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ1224-4-4-4444-44-4-44-2-22-222-2-2-222222-2-210000-222-2-222-2-111-1-1111-1-1-1-111-10000000000000000−3i−3i3i3i3i3i−3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
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χ1254-4-4-4444-4-444-4-2-22-222-2-2-222222-2-2100002-2-222-2-22-111-1-11-1-11111-1-1-100000000000000003i3i−3i−3i−3i−3i3i3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ1264-4-4-4444-4-444-4-2-22-222-2-2-222222-2-2100002-2-222-2-22-111-1-11-1-11111-1-1-10000000000000000−3i−3i3i3i3i3i−3i−3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000

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