Finite Group Databasebeta

← Group #11865793

Character table — Group #11865793

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122244442233446666661212121212121212344446666666121212121212121266121212121212121212121212121212121212888888882424242424242424242424242424242444442244666612121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-111
χ711111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-111-1-111
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111-1-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-1-1111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-11111-1-1-1-1-1111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111111-1-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-111-1-1-11111-1-111-11-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1111-1-1-1-11111-11-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11-111
χ1722222222222-12222-1-12-12222-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000020200-1-100-1-1000000
χ1822222222222-12222-1-12-12222-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000-20-200110011000000
χ1922222222222-12222-1-12-12222-1-1-1-1-1-2-2-2-222-1-1-1-1-12-1-1-1-1-12-1-1-1-2-211-2-211-1-1111111110000222200000000-1-1-1-1-1-1-1-100000-20-200110011000000
χ2022222222222-12222-1-12-12222-1-1-1-1-1-2-2-2-222-1-1-1-1-12-1-1-1-1-12-1-1-1-2-211-2-211-1-1111111110000-2-2-2-200000000111111110000020200-1-100-1-1000000
χ212222222222-1222-1-122-12-1-1-1-12222-12222-1-122-1-1-1-12-1-1-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002020-1-100-1-100000000
χ222222222222-1222-1-122-12-1-1-1-12222-12222-1-122-1-1-1-12-1-1-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-20-2011001100000000
χ232222222222-1222-1-122-12-1-1-1-12222-1-2-2-2-2-1-122-1-1-1-12-1-1-1-1-12-1-111-2-211-2-2-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-20-2011001100000000
χ242222222222-1222-1-122-12-1-1-1-12222-1-2-2-2-2-1-122-1-1-1-12-1-1-1-1-12-1-111-2-211-2-2-1-111111111-2-2-2-20000111111110000000000002020-1-100-1-100000000
χ2522222222-2-222-2-22222222222222220000-2-2-2-2222-2-22222-2-2-2-200000000-2-200000000000000000000000000000000222200000000000000-2-200
χ2622222222-2-222-2-22222222222222220000-2-2-2-2222-2-22222-2-2-2-200000000-2-200000000000000000000000000000000-2-2-2-2000000000000002200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2200002222222-2-2-2-2-2-2-2-22200000000-2-20000000000000000000000000000000022-2-200000000000000-2200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2200002222222-2-2-2-2-2-2-2-22200000000-2-200000000000000000000000000000000-2-222000000000000002-200
χ292222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-122-2-2-2-211-1-1-12-111112-11122-1-1-2-211-1-1-1-1-1-11111000022-2-200000000-1-1-1-111110000020-200-1-10011000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-122-2-2-2-211-1-1-12-111112-11122-1-1-2-211-1-1-1-1-1-111110000-2-222000000001111-1-1-1-100000-202001100-1-1000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-222-2-211-1-1-12-111112-111-2-21122-1-1-1-11111-1-1-1-1000022-2-200000000-1-1-1-1111100000-202001100-1-1000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-1-2-222-2-211-1-1-12-111112-111-2-21122-1-1-1-11111-1-1-1-10000-2-222000000001111-1-1-1-10000020-200-1-10011000000
χ332222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-122-2-211-2-2-1-1-1-121111-1211-1-12211-2-2-1-1-1-1-1-1111122-2-20000-1-1-1-1111100000000000020-20-1-1001100000000
χ342222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-122-2-211-2-2-1-1-1-121111-1211-1-12211-2-2-1-1-1-1-1-11111-2-22200001111-1-1-1-1000000000000-20201100-1-100000000
χ352222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-1-2-22211-2-2-1-1-1-121111-121111-2-2-1-122-1-11111-1-1-1-122-2-20000-1-1-1-11111000000000000-20201100-1-100000000
χ362222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-1-2-22211-2-2-1-1-1-121111-121111-2-2-1-122-1-11111-1-1-1-1-2-22200001111-1-1-1-100000000000020-20-1-1001100000000
χ3722-2-22i2i−2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-2002i2i−2i−2i00000000000000000000002−2−i2i22−2−i2i222−2−2−i2−i2i2i222−2−2−i2−i2i2i22-22i−2i000000000000000000
χ3822-2-22i2i−2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-2002i2i−2i−2i00000000000000000000002−2−i2i2−22i2−i222−2−2−i2−i2i2i2−2−222i2i2−i2−i2-22−2i2i000000000000000000
χ3922-2-22i2i−2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-2002i2i−2i−2i0000000000000000000000−22i2−i22−2−i2i2−2−222i2i2−i2−i222−2−2−i2−i2i2i2-22−2i2i000000000000000000
χ4022-2-22i2i−2i−2i0022002-22-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-2002i2i−2i−2i0000000000000000000000−22i2−i2−22i2−i2−2−222i2i2−i2−i2−2−222i2i2−i2−i22-22i−2i000000000000000000
χ4122-2-2−2i−2i2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i2000000002-2-200−2i−2i2i2i00000000000000000000002−2i2−i22−2i2−i222−2−2i2i2−i2−i222−2−2i2i2−i2−i22-2−2i2i000000000000000000
χ4222-2-2−2i−2i2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i2000000002-2-200−2i−2i2i2i00000000000000000000002−2i2−i2−22−i2i222−2−2i2i2−i2−i2−2−222−i2−i2i2i2-222i−2i000000000000000000
χ4322-2-2−2i−2i2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i2000000002-2-200−2i−2i2i2i0000000000000000000000−22−i2i22−2i2−i2−2−222−i2−i2i2i222−2−2i2i2−i2−i2-222i−2i000000000000000000
χ4422-2-2−2i−2i2i2i0022002-22-2-2-2−2i−2i2i2i−2i−2i2i2i2000000002-2-200−2i−2i2i2i0000000000000000000000−22−i2i2−22−i2i2−2−222−i2−i2i2i2−2−222−i2−i2i2i22-2−2i2i000000000000000000
χ452-2-222-22-22-2222-2-2-2-2-2222-22-22-22-222i−2i2i−2i2-22-2-22-2222-22-2-2-22-22i−2i2i−2i2i−2i2i−2i2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ462-2-222-22-22-2222-2-2-2-2-2222-22-22-22-22−2i2i−2i2i2-22-2-22-2222-22-2-2-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ472-2-222-22-22-22-12-2-2-2112-12-22-2-11-11-12i−2i2i−2i2-2-111-112-1-11-11-21-112i−2i−ii2i−2i−ii-11−i−iii−i−iii00000000000000003−33−33−33−30000000000−i3i300−i3i3000000
χ482-2-222-22-22-22-12-2-2-2112-12-22-2-11-11-12i−2i2i−2i2-2-111-112-1-11-11-21-112i−2i−ii2i−2i−ii-11−i−iii−i−iii0000000000000000−33−33−33−330000000000i3−i300i3−i3000000
χ492-2-222-22-22-22-12-2-2-2112-12-22-2-11-11-1−2i2i−2i2i2-2-111-112-1-11-11-21-11−2i2ii−i−2i2ii−i-11ii−i−iii−i−i00000000000000003−33−33−33−30000000000i3−i300i3−i3000000
χ502-2-222-22-22-22-12-2-2-2112-12-22-2-11-11-1−2i2i−2i2i2-2-111-112-1-11-11-21-11−2i2ii−i−2i2ii−i-11ii−i−iii−i−i0000000000000000−33−33−33−330000000000−i3i300−i3i3000000
χ512-2-222-22-22-2-122-211-2-2-12-11-112-22-2-12i−2i2i−2i-112-21-11-12-11-111-2-11−ii2i−2i−ii2i−2i-11−i−iii−i−iii000000003−33−33−33−30000000000000000−i3i300−i3i300000000
χ522-2-222-22-22-2-122-211-2-2-12-11-112-22-2-12i−2i2i−2i-112-21-11-12-11-111-2-11−ii2i−2i−ii2i−2i-11−i−iii−i−iii00000000−33−33−33−330000000000000000i3−i300i3−i300000000
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χ542-2-222-22-22-2-122-211-2-2-12-11-112-22-2-1−2i2i−2i2i-112-21-11-12-11-111-2-11i−i−2i2ii−i−2i2i-11ii−i−iii−i−i00000000−33−33−33−330000000000000000−i3i300−i3i300000000
χ552-2-222-22-2-2222-22-2-2-2-2222-22-22-22-220000-22-22-22-2-2-22-22-222-2200000000-220000000000000000000000000000000000000000000000002-2002-2
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χ602-2-22-22-22-22222-2-2-2-2-222-22-22-22-222−2i2i2i−2i-22-22-22-222-22-22-2-2-22−2i2i−2i2i2i−2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
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χ794444-4-4-4-4-4-4-2-244-2-2-2-2-2-222222222144-4-42222111-2-2-1-1-1-1-2-2-1-1-2-2-2-22222111111-1-1-1-10000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-2-244-2-2-2-2-2-2222222221-4-4442222111-2-2-1-1-1-1-2-2-1-12222-2-2-2-211-1-1-1-111110000000000000000000000000000000000000000000000
χ8144-4-44i4i−4i−4i004-2004-4-22-424i4i−4i−4i−2i−2i2i2i-200000000-22200−2i−2i2i2i0000000000000000000000000022−22−2i22i200000000−2−222i2i2−i2−i20000000000000000000000
χ8244-4-44i4i−4i−4i004-2004-4-22-424i4i−4i−4i−2i−2i2i2i-200000000-22200−2i−2i2i2i00000000000000000000000000−22222i2−2i20000000022−2−2−i2−i2i2i20000000000000000000000
χ8344-4-44i4i−4i−4i00-2400-224-42-4−2i−2i2i2i4i4i−4i−4i-200000000-22200−2i−2i2i2i000000000000000000000022−22−2i22i20000−2−222i2i2−i2−i2000000000000000000000000000000
χ8444-4-44i4i−4i−4i00-2400-224-42-4−2i−2i2i2i4i4i−4i−4i-200000000-22200−2i−2i2i2i0000000000000000000000−22222i2−2i2000022−2−2−i2−i2i2i2000000000000000000000000000000
χ8544-4-4−4i−4i4i4i004-2004-4-22-42−4i−4i4i4i2i2i−2i−2i-200000000-222002i2i−2i−2i0000000000000000000000000022−222i2−2i200000000−2−222−i2−i2i2i20000000000000000000000
χ8644-4-4−4i−4i4i4i004-2004-4-22-42−4i−4i4i4i2i2i−2i−2i-200000000-222002i2i−2i−2i00000000000000000000000000−2222−2i22i20000000022−2−2i2i2−i2−i20000000000000000000000
χ8744-4-4−4i−4i4i4i00-2400-224-42-42i2i−2i−2i−4i−4i4i4i-200000000-222002i2i−2i−2i000000000000000000000022−222i2−2i20000−2−222−i2−i2i2i2000000000000000000000000000000
χ8844-4-4−4i−4i4i4i00-2400-224-42-42i2i−2i−2i−4i−4i4i4i-200000000-222002i2i−2i−2i0000000000000000000000−2222−2i22i2000022−2−2i2i2−i2−i2000000000000000000000000000000
χ894-44-44i−4i−4i4i004400-44-44-4-44i−4i−4i4i4i−4i−4i4i400000000-4-44004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i−4i4i004-200-442-2-424i−4i−4i4i−2i2i2i−2i-20000000022-200−2i2i2i−2i000000000000000000000000000000000000006−6−66−i6i6i6−i60000000000000000000000
χ914-44-44i−4i−4i4i004-200-442-2-424i−4i−4i4i−2i2i2i−2i-20000000022-200−2i2i2i−2i00000000000000000000000000000000000000−666−6i6−i6−i6i60000000000000000000000
χ924-44-44i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i-20000000022-200−2i2i2i−2i0000000000000000000000000000006−6−66−i6i6i6−i6000000000000000000000000000000
χ934-44-44i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i-20000000022-200−2i2i2i−2i000000000000000000000000000000−666−6i6−i6−i6i6000000000000000000000000000000
χ944-44-4−4i4i4i−4i004400-44-44-4-4−4i4i4i−4i−4i4i4i−4i400000000-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i-20000000022-2002i−2i−2i2i000000000000000000000000000000000000006−6−66i6−i6−i6i60000000000000000000000
χ964-44-4−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i-20000000022-2002i−2i−2i2i00000000000000000000000000000000000000−666−6−i6i6i6−i60000000000000000000000
χ974-44-4−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i-20000000022-2002i−2i−2i2i0000000000000000000000000000006−6−66i6−i6−i6i6000000000000000000000000000000
χ984-44-4−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i-20000000022-2002i−2i−2i2i000000000000000000000000000000−666−6−i6i6i6−i6000000000000000000000000000000
χ994-4-444-44-44-4-2-24-42222-2-2-22-22-22-2214i−4i4i−4i-22-22-11-1-2-21-11-1221-1−2i2i−2i2i−2i2i−2i2i1-1ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ1004-4-444-44-44-4-2-24-42222-2-2-22-22-22-221−4i4i−4i4i-22-22-11-1-2-21-11-1221-12i−2i2i−2i2i−2i2i−2i1-1−i−iii−i−iii0000000000000000000000000000000000000000000000
χ1014-4-444-44-4-444-2-44-4-4224-24-44-4-22-22-20000-442-22-22-42-22-224-22-2000000002-2000000000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-44-24-4422-4-4-24-22-224-44-4-200002-2-442-222-4-22-22-242-2000000002-2000000000000000000000000000000000000000000000000000000
χ1034-4-444-44-4-44-2-2-442222-2-2-22-22-22-22100002-22-2-11-1221-11-1-2-2-1100000000-113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1044-4-444-44-4-44-2-2-442222-2-2-22-22-22-22100002-22-2-11-1221-11-1-2-2-1100000000-11−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1054-4-44-44-444-44-2-44-4-4224-2-44-442-22-2-200004-4-222-22-422-22-24-2-22000000002-2000000000000000000000000000000000000000000000000000000
χ1064-4-44-44-444-4-24-4422-4-4-242-22-2-44-44-20000-224-42-222-42-22-2-24-22000000002-2000000000000000000000000000000000000000000000000000000
χ1074-4-44-44-444-4-2-2-442222-2-22-22-22-22-210000-22-22-11-122-11-11-2-21-100000000-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1084-4-44-44-444-4-2-2-442222-2-22-22-22-22-210000-22-22-11-122-11-11-2-21-100000000-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1094-4-44-44-44-44-2-24-42222-2-22-22-22-22-214i−4i−4i4i2-22-2-11-1-2-2-11-1122-11−2i2i−2i2i2i−2i2i−2i1-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1104-4-44-44-44-44-2-24-42222-2-22-22-22-22-21−4i4i4i−4i2-22-2-11-1-2-2-11-1122-112i−2i2i−2i−2i2i−2i2i1-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ11188-8-88i8i−8i−8i00-4-400-44-4444−4i−4i4i4i−4i−4i4i4i2000000002-2-2002i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8−8i−8i8i8i00-4-400-44-44444i4i−4i−4i4i4i−4i−4i2000000002-2-200−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88i−8i−8i8i00-4-4004-44-444−4i4i4i−4i−4i4i4i−4i200000000-2-22002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8−8i8i8i−8i00-4-4004-44-4444i−4i−4i4i4i−4i−4i4i200000000-2-2200−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000

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