Finite Group Databasebeta

← Group #11860010

Character table — Group #11860010

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222244444444444412121212121212121212121218181818111122222222224444444444441212121212121212121212121818181811112222222222444444444444121212121212121212121212181818181111222222222244444444444412121212121212121212121218181818
order124423346612121212366666121212121212224466661212121288884444412124121212121212121212121212121212121212444412121212121212128888224426646612121212666666121212121212224466661212121288884444412124121212121212121212121212121212121212444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-111-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-111-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-111-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-111-1-11111-1-1-1-111-1-1
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χ711-1-1-111111-1-1-1-11-1-1-1-111111-1-1-111-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1-111-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1-111-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1-111-1-1-11111-1-1-1-111
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χ1122222-122-12-1-122-1-12-1-1-1-12-1-1-1-12020-1-100-1-100000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-12020-1-100-1-100000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-12020-1-100-1-100000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-12020-1-100-1-1000000
χ1222222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-20-2011001100000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-20-2011001100000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-20-2011001100000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-20-20110011000000
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χ152222-22-1-22-122-1-1-1-2111-1-2111-1-1000000i3−i300i3−i300002222-22-1-22-122-1-1-1-2111-1-2111-1-1000000i3−i300i3−i300002222-22-1-22-122-1-1-1-2111-1-2111-1-1000000i3−i300i3−i300002222-22-1-22-122-1-1-1-2111-1-2111-1-1000000i3−i300i3−i30000
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χ1822-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000
χ1922-2-222-1-22-1-2-211-12-1-1-1-1-211111000000−i3i300i3−i3000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000−i3i300i3−i3000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000−i3i300i3−i3000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000−i3i300i3−i30000
χ2022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000i3−i300−i3i3000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000i3−i300−i3i3000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000i3−i300−i3i3000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000i3−i300−i3i30000
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χ2222-2-22-12-2-1211-2-2-1-12-1-1-11-211110000i3−i300−i3i300000022-2-22-12-2-1211-2-2-1-12-1-1-11-211110000i3−i300−i3i300000022-2-22-12-2-1211-2-2-1-12-1-1-11-211110000i3−i300−i3i300000022-2-22-12-2-1211-2-2-1-12-1-1-11-211110000i3−i300−i3i3000000
χ2322-2-2-22-122-1-2-211-1-2111-12-1-1-111020-200-1-10011000022-2-2-22-122-1-2-211-1-2111-12-1-1-111020-200-1-10011000022-2-2-22-122-1-2-211-1-2111-12-1-1-111020-200-1-10011000022-2-2-22-122-1-2-211-1-2111-12-1-1-111020-200-1-100110000
χ2422-2-2-22-122-1-2-211-1-2111-12-1-1-1110-202001100-1-1000022-2-2-22-122-1-2-211-1-2111-12-1-1-1110-202001100-1-1000022-2-2-22-122-1-2-211-1-2111-12-1-1-1110-202001100-1-1000022-2-2-22-122-1-2-211-1-2111-12-1-1-1110-202001100-1-10000
χ2522-2-2-2-122-1211-2-2-11-211-1-12-1-11120-20-1-1001100000022-2-2-2-122-1211-2-2-11-211-1-12-1-11120-20-1-1001100000022-2-2-2-122-1211-2-2-11-211-1-12-1-11120-20-1-1001100000022-2-2-2-122-1211-2-2-11-211-1-12-1-11120-20-1-10011000000
χ2622-2-2-2-122-1211-2-2-11-211-1-12-1-111-20201100-1-100000022-2-2-2-122-1211-2-2-11-211-1-12-1-111-20201100-1-100000022-2-2-2-122-1211-2-2-11-211-1-12-1-111-20201100-1-100000022-2-2-2-122-1211-2-2-11-211-1-12-1-111-20201100-1-1000000
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χ324444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-1110000000000000000
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χ1422222-2-12-2-12-1-122-11-211-11-211-1-10000−i3i300−i3i3000000−2i−2i−2i−2i2ii−2i2ii−2iii−2i−2ii−i2i−i−ii−i2i−i−iii0000−3300−33000000-2-2-2-221-221-211-2-21-12-1-11-12-1-1110000i3−i300i3−i30000002i2i2i2i−2i−i2i−2i−i2i−i−i2i2i−ii−2iii−ii−2iii−i−i00003−3003−3000000
χ1432222-2-12-2-12-1-122-11-211-11-211-1-10000i3−i300i3−i3000000−2i−2i−2i−2i2ii−2i2ii−2iii−2i−2ii−i2i−i−ii−i2i−i−iii00003−3003−3000000-2-2-2-221-221-211-2-21-12-1-11-12-1-1110000−i3i300−i3i30000002i2i2i2i−2i−i2i−2i−i2i−i−i2i2i−ii−2iii−ii−2iii−i−i0000−3300−33000000
χ14422-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000−2i−2i2i2i−2i−2i−2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i0000000000000000-2-222-2-2-22-2-22222-2-2-2-2-2-222222200000000000000002i2i−2i−2i2i2i2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000000000
χ14522-2-222-1-22-1-2-211-12-1-1-1-1-211111000000−i3i300i3−i30000−2i−2i2i2i−2i−2ii2i−2ii2i2i−i−ii−2iiiii2i−i−i−i−i−i000000−33003−30000-2-222-2-212-2122-1-11-211112-1-1-1-1-1000000i3−i300−i3i300002i2i−2i−2i2i2i−i−2i2i−i−2i−2iii−i2i−i−i−i−i−2iiiiii0000003−300−330000
χ14622-2-222-1-22-1-2-211-12-1-1-1-1-211111000000i3−i300−i3i30000−2i−2i2i2i−2i−2ii2i−2ii2i2i−i−ii−2iiiii2i−i−i−i−i−i0000003−300−330000-2-222-2-212-2122-1-11-211112-1-1-1-1-1000000−i3i300i3−i300002i2i−2i−2i2i2i−i−2i2i−i−2i−2iii−i2i−i−i−i−i−2iiiiii000000−33003−30000
χ14722-2-22-12-2-1211-2-2-1-12-1-1-11-211110000−i3i300i3−i3000000−2i−2i2i2i−2ii−2i2ii−2i−i−i2i2iii−2iiii−i2i−i−i−i−i0000−33003−3000000-2-222-21-221-2-1-12211-2111-12-1-1-1-10000i3−i300−i3i30000002i2i−2i−2i2i−i2i−2i−i2iii−2i−2i−i−i2i−i−i−ii−2iiiii00003−300−33000000
χ14822-2-22-12-2-1211-2-2-1-12-1-1-11-211110000i3−i300−i3i3000000−2i−2i2i2i−2ii−2i2ii−2i−i−i2i2iii−2iiii−i2i−i−i−i−i00003−300−33000000-2-222-21-221-2-1-12211-2111-12-1-1-1-10000−i3i300i3−i30000002i2i−2i−2i2i−i2i−2i−i2iii−2i−2i−i−i2i−i−i−ii−2iiiii0000−33003−3000000
χ14922-2-2-22-122-1-2-211-1-2111-12-1-1-111020-200-1-100110000−2i−2i2i2i2i−2ii−2i−2ii2i2i−i−ii2i−i−i−ii−2iiii−i−i0−2i02i00ii00−i−i0000-2-2222-21-2-2122-1-112-1-1-11-2111-1-10-202001100-1-100002i2i−2i−2i−2i2i−i2i2i−i−2i−2iii−i−2iiii−i2i−i−i−iii02i0−2i00−i−i00ii0000
χ15022-2-2-22-122-1-2-211-1-2111-12-1-1-1110-202001100-1-10000−2i−2i2i2i2i−2ii−2i−2ii2i2i−i−ii2i−i−i−ii−2iiii−i−i02i0−2i00−i−i00ii0000-2-2222-21-2-2122-1-112-1-1-11-2111-1-1020-200-1-1001100002i2i−2i−2i−2i2i−i2i2i−i−2i−2iii−i−2iiii−i2i−i−i−iii0−2i02i00ii00−i−i0000
χ15122-2-2-2-122-1211-2-2-11-211-1-12-1-11120-20-1-10011000000−2i−2i2i2i2ii−2i−2ii−2i−i−i2i2ii−i2i−i−iii−2iii−i−i−2i02i0ii00−i−i000000-2-22221-2-21-2-1-1221-12-1-111-211-1-1-20201100-1-10000002i2i−2i−2i−2i−i2i2i−i2iii−2i−2i−ii−2iii−i−i2i−i−iii2i0−2i0−i−i00ii000000
χ15222-2-2-2-122-1211-2-2-11-211-1-12-1-111-20201100-1-1000000−2i−2i2i2i2ii−2i−2ii−2i−i−i2i2ii−i2i−i−iii−2iii−i−i2i0−2i0−i−i00ii000000-2-22221-2-21-2-1-1221-12-1-111-211-1-120-20-1-100110000002i2i−2i−2i−2i−i2i2i−i2iii−2i−2i−ii−2iii−i−i2i−i−iii−2i02i0ii00−i−i000000
χ1532-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000002−2−i2i2−2i2i2-20−2i−2i02i2i2-22-2−2i00002i00002-2000000000000−i2i2−22-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i000000000000−22i2−i22i−2i-2202i2i0−2i−2i-22-222i0000−2i0000-22000000000000i2−i22−2
χ1542-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−22i2−i2−2i2i2-20−2i−2i02i2i2-22-2−2i00002i00002-2000000000000i2−i22−2-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i0000000000002−2−i2i22i−2i-2202i2i0−2i−2i-22-222i0000−2i0000-22000000000000−i2i2−22
χ1552-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000002−2i2−i2−2i2i-220−2i−2i02i2i-22-22−2i00002i0000-22000000000000−i2i22−2-222i−2i0-2-20222i−2i2i−2i-20000200002i−2i000000000000−22−i2i22i−2i2-202i2i0−2i−2i2-22-22i0000−2i00002-2000000000000i2−i2−22
χ1562-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−22−i2i2−2i2i-220−2i−2i02i2i-22-22−2i00002i0000-22000000000000i2−i2−22-222i−2i0-2-20222i−2i2i−2i-20000200002i−2i0000000000002−2i2−i22i−2i2-202i2i0−2i−2i2-22-22i0000−2i00002-2000000000000−i2i22−2
χ15744444-2-24-2-2-2-2-2-21-2-2111-2-211110000000000000000−4i−4i−4i−4i−4i2i2i−4i2i2i2i2i2i2i−i2i2i−i−i−i2i2i−i−i−i−i0000000000000000-4-4-4-4-422-4222222-122-1-1-122-1-1-1-100000000000000004i4i4i4i4i−2i−2i4i−2i−2i−2i−2i−2i−2ii−2i−2iiii−2i−2iiiii0000000000000000
χ1584444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-1110000000000000000−4i−4i−4i−4i4i2i2i4i2i2i2i2i2i2i−i−2i−2iii−i−2i−2iii−i−i0000000000000000-4-4-4-44224222222-1-2-211-1-2-211-1-100000000000000004i4i4i4i−4i−2i−2i−4i−2i−2i−2i−2i−2i−2ii2i2i−i−ii2i2i−i−iii0000000000000000
χ15944-4-44-2-2-4-2-222221-2-211122-1-1-1-10000000000000000−4i−4i4i4i−4i2i2i4i2i2i−2i−2i−2i−2i−i2i2i−i−i−i−2i−2iiiii0000000000000000-4-444-422422-2-2-2-2-122-1-1-1-2-2111100000000000000004i4i−4i−4i4i−2i−2i−4i−2i−2i2i2i2i2ii−2i−2iiii2i2i−i−i−i−i0000000000000000
χ16044-4-4-4-2-24-2-22222122-1-11-2-211-1-10000000000000000−4i−4i4i4i4i2i2i−4i2i2i−2i−2i−2i−2i−i−2i−2iii−i2i2i−i−iii0000000000000000-4-444422-422-2-2-2-2-1-2-211-122-1-11100000000000000004i4i−4i−4i−4i−2i−2i4i−2i−2i2i2i2i2ii2i2i−i−ii−2i−2iii−i−i0000000000000000
χ1614-44i−4i04-20-424i−4i−2i2i-2000020000−2i2i0000000000000000−4i4i4-40−4i2i04i−2i4-4-222i0000−2i0000-220000000000000000-44−4i4i0-4204-2−4i4i2i−2i20000-200002i−2i00000000000000004i−4i-4404i−2i0−4i2i-442-2−2i00002i00002-20000000000000000
χ1624-44i−4i0-2402-4−2i2i4i−4i-2000020000−2i2i0000000000000000−4i4i4-402i−4i0−2i4i-224-42i0000−2i0000-220000000000000000-44−4i4i02-40-242i−2i−4i4i20000-200002i−2i00000000000000004i−4i-440−2i4i02i−4i2-2-44−2i00002i00002-20000000000000000
χ1634-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i0000000000000000−4i4i4-402i2i0−2i−2i-22-22−i00−3i3ii003-31-10000000000000000-44−4i4i0220-2-22i−2i2i−2i-100-33100−3i3i−ii00000000000000004i−4i-440−2i−2i02i2i2-22-2i003i−3i−i00-33-110000000000000000
χ1644-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i0000000000000000−4i4i4-402i2i0−2i−2i-22-22−i003i−3ii00-331-10000000000000000-44−4i4i0220-2-22i−2i2i−2i-1003-31003i−3i−ii00000000000000004i−4i-440−2i−2i02i2i2-22-2i00−3i3i−i003-3-110000000000000000
χ1654-4−4i4i04-20-42−4i4i2i−2i-20000200002i−2i0000000000000000−4i4i-440−4i2i04i−2i-442-22i0000−2i00002-20000000000000000-444i−4i0-4204-24i−4i−2i2i20000-20000−2i2i00000000000000004i−4i4-404i−2i0−4i2i4-4-22−2i00002i0000-220000000000000000
χ1664-4−4i4i0-2402-42i−2i−4i4i-20000200002i−2i0000000000000000−4i4i-4402i−4i0−2i4i2-2-442i0000−2i00002-20000000000000000-444i−4i02-40-24−2i2i4i−4i20000-20000−2i2i00000000000000004i−4i4-40−2i4i02i−4i-224-4−2i00002i0000-220000000000000000
χ1674-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii0000000000000000−4i4i-4402i2i0−2i−2i2-22-2−i00−3i3ii00-33-110000000000000000-444i−4i0220-2-2−2i2i−2i2i-100-331003i−3ii−i00000000000000004i−4i4-40−2i−2i02i2i-22-22i003i−3i−i003-31-10000000000000000
χ1684-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii0000000000000000−4i4i-4402i2i0−2i−2i2-22-2−i003i−3ii003-3-110000000000000000-444i−4i0220-2-2−2i2i−2i2i-1003-3100−3i3ii−i00000000000000004i−4i4-40−2i−2i02i2i-22-22i00−3i3i−i00-331-10000000000000000

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