Finite Group Databasebeta

← Group #11819192

Character table — Group #11819192

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222222223366666666666666344446666666666666666666121212121212121212121212121212124444444412121212121212121212121212121212444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-11111
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1
χ1311111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ1411111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-111-1-111
χ1511111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111
χ1611111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1
χ172222222222222-1222-1-12-1-122-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000220-1-1-1-10000000000
χ182222222222222-1222-1-12-1-122-1-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000-2-2011110000000000
χ192222222222222-1222-1-12-1-122-1-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-21111111122220000-1-1-1-1-1-1-1-10000000000000-2-2011110000000000
χ202222222222222-1222-1-12-1-122-1-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-211111111-2-2-2-20000111111110000000000000220-1-1-1-10000000000
χ21222222222222-12-1-1-122-122-1-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000020020000-1-1-1-1000000
χ22222222222222-12-1-1-122-122-1-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000-200-200001111000000
χ23222222222222-12-1-1-122-122-1-1222-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211111111110000222200000000-1-1-1-1-1-1-1-10000-200-200001111000000
χ24222222222222-12-1-1-122-122-1-1222-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211111111110000-2-2-2-20000000011111111000020020000-1-1-1-1000000
χ2522222222-2-2-2-22-1222-1-12-1-122-1-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-1111122-1-111-2-2-1-1-1-1111122-2-20000-1-1-1-1111100000000000002-20-1-1110000000000
χ2622222222-2-2-2-22-1222-1-12-1-122-1-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-1111122-1-111-2-2-1-1-1-11111-2-22200001111-1-1-1-10000000000000-22011-1-10000000000
χ2722222222-2-2-2-22-1222-1-12-1-122-1-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-11111-2-211-1-1221111-1-1-1-122-2-20000-1-1-1-111110000000000000-22011-1-10000000000
χ2822222222-2-2-2-22-1222-1-12-1-122-1-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-11111-2-211-1-1221111-1-1-1-1-2-22200001111-1-1-1-100000000000002-20-1-1110000000000
χ2922222222-2-2-2-2-12-1-1-122-122-1-1222-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-11111-1-122-2-211-1-1-1-11111000022-2-200000000-1-1-1-111110000200-20000-1-111000000
χ3022222222-2-2-2-2-12-1-1-122-122-1-1222-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-11111-1-122-2-211-1-1-1-111110000-2-222000000001111-1-1-1-10000-2002000011-1-1000000
χ3122222222-2-2-2-2-12-1-1-122-122-1-1222-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-1111111-2-222-1-11111-1-1-1-1000022-2-200000000-1-1-1-111110000-2002000011-1-1000000
χ3222222222-2-2-2-2-12-1-1-122-122-1-1222-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-1111111-2-222-1-11111-1-1-1-10000-2-222000000001111-1-1-1-10000200-20000-1-111000000
χ3322-222-2-2-222-2-2222-2-2-2-2222-2-2-2-2222000022-2-222-2-22-2-2-2-22222-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ3422-222-2-2-222-2-2222-2-2-2-2222-2-2-2-2222000022-2-222-2-22-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ3522-222-2-2-2-2-222222-2-2-2-2222-2-2-2-22220000-2-222-2-2222-2-2-2-222-2-222000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ3622-222-2-2-2-2-222222-2-2-2-2222-2-2-2-22220000-2-222-2-2222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ3722-2-2-22-22000022-22-22-222-22-22-2-2-22000000000000-222-2-22-2000000000000000000002i−2i002i−2i002i2i−2i−2i00002i2i−2i−2i000022-2-2000000000000000000
χ3822-2-2-22-22000022-22-22-222-22-22-2-2-22000000000000-222-2-22-2000000000000000000002i−2i00−2i2i002i2i−2i−2i0000−2i−2i2i2i0000-2-222000000000000000000
χ3922-2-2-22-22000022-22-22-222-22-22-2-2-22000000000000-222-2-22-200000000000000000000−2i2i002i−2i00−2i−2i2i2i00002i2i−2i−2i0000-2-222000000000000000000
χ4022-2-2-22-22000022-22-22-222-22-22-2-2-22000000000000-222-2-22-200000000000000000000−2i2i00−2i2i00−2i−2i2i2i0000−2i−2i2i2i000022-2-2000000000000000000
χ412-222-2-2-222-22-2222-2-222-2-2-222-2-22-222i−2i2i−2i2-22-22-22-222-22-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ422-222-2-2-222-22-2222-2-222-2-2-222-2-22-22−2i2i−2i2i2-22-22-22-222-22-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ432-222-2-2-222-22-22-12-2-2-1-1-2112211-1-2-12i−2i2i−2i2-22-2-11-11-1-11-1111-11-112i−2i−ii−ii2i−2i−i−iii−i−iii00000000−i3i3−i3i3−i3−i3i3i300000000000000003−33−30000000000
χ442-222-2-2-222-22-22-12-2-2-1-1-2112211-1-2-12i−2i2i−2i2-22-2-11-11-1-11-1111-11-112i−2i−ii−ii2i−2i−i−iii−i−iii00000000i3−i3i3−i3i3i3−i3−i30000000000000000−33−330000000000
χ452-222-2-2-222-22-22-12-2-2-1-1-2112211-1-2-1−2i2i−2i2i2-22-2-11-11-1-11-1111-11-11−2i2ii−ii−i−2i2iii−i−iii−i−i00000000−i3i3−i3i3−i3−i3i3i30000000000000000−33−330000000000
χ462-222-2-2-222-22-22-12-2-2-1-1-2112211-1-2-1−2i2i−2i2i2-22-2-11-11-1-11-1111-11-11−2i2ii−ii−i−2i2iii−i−iii−i−i00000000i3−i3i3−i3i3i3−i3−i300000000000000003−33−30000000000
χ472-222-2-2-222-22-2-12-111221-2-2-1-1-2-221-12i−2i2i−2i-11-112-22-2-1-11-1111-11-11−ii2i−2i2i−2i−ii−i−iii−i−iii00000000000000003−33−333−3−3000000000000−i3i3−i3i3000000
χ482-222-2-2-222-22-2-12-111221-2-2-1-1-2-221-12i−2i2i−2i-11-112-22-2-1-11-1111-11-11−ii2i−2i2i−2i−ii−i−iii−i−iii0000000000000000−33−33−3−333000000000000i3−i3i3−i3000000
χ492-222-2-2-222-22-2-12-111221-2-2-1-1-2-221-1−2i2i−2i2i-11-112-22-2-1-11-1111-11-11i−i−2i2i−2i2ii−iii−i−iii−i−i00000000000000003−33−333−3−3000000000000i3−i3i3−i3000000
χ502-222-2-2-222-22-2-12-111221-2-2-1-1-2-221-1−2i2i−2i2i-11-112-22-2-1-11-1111-11-11i−i−2i2i−2i2ii−iii−i−iii−i−i0000000000000000−33−33−3−333000000000000−i3i3−i3i3000000
χ512-222-2-2-22-22-22222-2-222-2-2-222-2-22-222i−2i−2i2i-22-22-22-2222-22-2-2-2-22-222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ522-222-2-2-22-22-22222-2-222-2-2-222-2-22-22−2i2i2i−2i-22-22-22-2222-22-2-2-2-22-22−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ532-222-2-2-22-22-222-12-2-2-1-1-2112211-1-2-12i−2i−2i2i-22-221-11-1-1-11-11111-11-12i−2i−iii−i−2i2i−i−iiiii−i−i00000000−i3i3−i3i3i3i3−i3−i300000000000000003−3−330000000000
χ542-222-2-2-22-22-222-12-2-2-1-1-2112211-1-2-12i−2i−2i2i-22-221-11-1-1-11-11111-11-12i−2i−iii−i−2i2i−i−iiiii−i−i00000000i3−i3i3−i3−i3−i3i3i30000000000000000−333−30000000000
χ552-222-2-2-22-22-222-12-2-2-1-1-2112211-1-2-1−2i2i2i−2i-22-221-11-1-1-11-11111-11-1−2i2ii−i−ii2i−2iii−i−i−i−iii00000000−i3i3−i3i3i3i3−i3−i30000000000000000−333−30000000000
χ562-222-2-2-22-22-222-12-2-2-1-1-2112211-1-2-1−2i2i2i−2i-22-221-11-1-1-11-11111-11-1−2i2ii−i−ii2i−2iii−i−i−i−iii00000000i3−i3i3−i3−i3−i3i3i300000000000000003−3−330000000000
χ572-222-2-2-22-22-22-12-111221-2-2-1-1-2-221-12i−2i−2i2i1-11-1-22-22-1-11-11111-11-1−ii2i−2i−2i2ii−i−i−iiiii−i−i00000000000000003−33−3−3−333000000000000−i3i3i3−i3000000
χ582-222-2-2-22-22-22-12-111221-2-2-1-1-2-221-12i−2i−2i2i1-11-1-22-22-1-11-11111-11-1−ii2i−2i−2i2ii−i−i−iiiii−i−i0000000000000000−33−3333−3−3000000000000i3−i3−i3i3000000
χ592-222-2-2-22-22-22-12-111221-2-2-1-1-2-221-1−2i2i2i−2i1-11-1-22-22-1-11-11111-11-1i−i−2i2i2i−2i−iiii−i−i−i−iii00000000000000003−33−3−3−333000000000000i3−i3−i3i3000000
χ602-222-2-2-22-22-22-12-111221-2-2-1-1-2-221-1−2i2i2i−2i1-11-1-22-22-1-11-11111-11-1i−i−2i2i2i−2i−iiii−i−i−i−iii0000000000000000−33−3333−3−3000000000000−i3i3i3−i3000000
χ612-22-222-2-2000022-22-2-22-2-22-222-2-222000000000000-2-222-2-2200000000000000000000002i−2i002-200002i−2i2i−2i00002-22-22i−2i2i−2i000000000000000000
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χ8444-444-4-4-4-4-444-2-2-22222-2-2-22222-2-21000022-2-222-2-21-1-1-1-111-1-111000000003-33-3-33-330000000000000000000000000000000000000000000000
χ8544-444-4-4-4-4-444-2-2-22222-2-2-22222-2-21000022-2-222-2-21-1-1-1-111-1-11100000000-33-333-33-30000000000000000000000000000000000000000000000
χ8644-4-4-44-4400004-2-44-4-224-224-4-222-4-20000000000002-2-222-22000000000000000000004i−4i000000−2i−2i2i2i0000000000000000000000000000000000
χ8744-4-4-44-4400004-2-44-4-224-224-4-222-4-20000000000002-2-222-2200000000000000000000−4i4i0000002i2i−2i−2i0000000000000000000000000000000000
χ8844-4-4-44-440000-242-224-4-24-4-224-4-42-20000000000002-2-222-220000000000000000000000004i−4i0000000000−2i−2i2i2i00000000000000000000000000
χ8944-4-4-44-440000-242-224-4-24-4-224-4-42-20000000000002-2-222-22000000000000000000000000−4i4i00000000002i2i−2i−2i00000000000000000000000000
χ904-444-4-4-444-44-4-2-2-222-2-2222-2-222-2214i−4i4i−4i-22-22-22-2211-11-1-1-11-11-1−2i2i−2i2i−2i2i−2i2iii−i−iii−i−i0000000000000000000000000000000000000000000000
χ914-444-4-4-444-44-4-2-2-222-2-2222-2-222-221−4i4i−4i4i-22-22-22-2211-11-1-1-11-11-12i−2i2i−2i2i−2i2i−2i−i−iii−i−iii0000000000000000000000000000000000000000000000
χ924-444-4-4-44-44-44-2-2-222-2-2222-2-222-2214i−4i−4i4i2-22-22-22-211-11-1-1-1-11-11−2i2i−2i2i2i−2i2i−2iii−i−i−i−iii0000000000000000000000000000000000000000000000
χ934-444-4-4-44-44-44-2-2-222-2-2222-2-222-221−4i4i4i−4i2-22-22-22-211-11-1-1-1-11-112i−2i2i−2i−2i2i−2i2i−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ944-44-444-4-400004-2-44-42-2-42-2-44-2224-200000000000022-2-222-200000000000000000000004i−4i00000000−2i2i−2i2i000000000000000000000000000000
χ954-44-444-4-400004-2-44-42-2-42-2-44-2224-200000000000022-2-222-20000000000000000000000−4i4i000000002i−2i2i−2i000000000000000000000000000000
χ964-44-444-4-40000-242-22-442-442-24-4-4-2-200000000000022-2-222-2000000000000000000000000004-4000000000000-22-220000000000000000000000
χ974-44-444-4-40000-242-22-442-442-24-4-4-2-200000000000022-2-222-200000000000000000000000000-440000000000002-22-20000000000000000000000
χ984-4-44-444-44-4-444-244422-422-4-4-2-2-2-4-200004-4-44-222-2-22-22-222-222-200000000000000000000000000000000000000000000000000000000000000
χ994-4-44-444-44-4-44-24-2-2-2-4-42-4-4224442-20000-222-24-4-44-22-22-222-222-200000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-444-44-4-44-2-2-2-2-22222222-2-2-2210000-222-2-222-21-11-11-1-11-1-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1014-4-44-444-44-4-44-2-2-2-2-22222222-2-2-2210000-222-2-222-21-11-11-1-11-1-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1024-4-44-444-4-444-44-244422-422-4-4-2-2-2-4-20000-444-42-2-22-22-22-2222-2-2200000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-444-4-24-2-2-2-4-42-4-4224442-200002-2-22-444-4-22-22-2222-2-2200000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-4-444-4-2-2-2-2-22222222-2-2-22100002-2-222-2-221-11-11-1-1-111-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1054-4-44-444-4-444-4-2-2-2-2-22222222-2-2-22100002-2-222-2-221-11-11-1-1-111-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1064-4-4-44-444000044-4-444-4-4-444-4-44-444000000000000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-44400004-2-4-44-22-42-24-42-224-20000000000002-222-22-2000000000000000000000000000023−23−23230000000000000000000000000000000000
χ1084-4-4-44-44400004-2-4-44-22-42-24-42-224-20000000000002-222-22-20000000000000000000000000000−232323−230000000000000000000000000000000000
χ1094-4-4-44-4440000-2422-24-42-44-22-44-4-2-20000000000002-222-22-2000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ1104-4-4-44-4440000-2422-24-42-44-22-44-4-2-20000000000002-222-22-20000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ111888-8-8-88-80000-4-444-44-4-4-444-44-4442000000000000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-880000-4-44-44-44-4-44-44-44442000000000000-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-80000-4-44-444-444-44-4-444-42000000000000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-8880000-4-444-4-4444-4-444-44-42000000000000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000

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