Finite Group Databasebeta

← Group #13168666

Character table — Group #13168666

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212244441212121212121212121212121212121212121212446666121212121212121212124444412124412121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11111-1-11111111111111111-1-111111-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1111-111111111-1-11111111111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111-1-1-11-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11
χ51111111111111111111111111111111111111-1-11111111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1111
χ71111111111111111111111111111111111111-1-11111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-111-1-1-111-11-1-1-1-11-111-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-11-11-1-1-1-111-11-11-111111-1-1-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-11111-1-1-1-111-1-1-1-11-11-11111-1-11-11-1-11111-11-11-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1111-1-1111-1-111-1-1-1-1-111-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-1-111-1-11-1-111-1-111-111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-11-1-1-1-1111-11-1-111-1-1-11-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-11111-1-1-11-11-111-1-11-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-111-11-1-1111-111-1-1
χ17222222-122-122-12-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-120022-1-10022-1-12222-1-1-1-1-1-1-1-1002-1-1-1-1000-1-10000220000000-1-10000
χ18222222-122-122-12-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-2002-2-1-10022-1-1-2-222-1-1-1-1-1-1-1-100-21111000110000-2-20000000110000
χ19222222-122-122-12-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1200-221100-2-21122-2-211111111002-1-1-1-1000-1-10000-2-20000000110000
χ20222222-122-122-12-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-1-200-2-21100-2-211-2-2-2-21111111100-21111000110000220000000-1-10000
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χ23222222-122-122-12-122-1-1-22-12-1-1-1-1-12-2-2111111-2-2-1-1-1-1-2-2-21111112002-2-1-100-2-211-2-2221111-1-1-1-1002-1-1-110001100002-200000001-10000
χ24222222-122-122-12-122-1-1-22-12-1-1-1-1-12-2-2111111-2-2-1-1-1-1-2-2-2111111-20022-1-100-2-21122221111-1-1-1-100-2111-1000-1-10000-220000000-110000
χ2522222-122-122-12-122-12-12-1-1-12-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-12220200-1-10000-1-1000000000022-12-1-12-122-1-1-1-1-1-100002-1-10000-1000
χ2622222-122-122-12-122-12-12-1-1-12-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-12-2-20200110000-1-10000000000-2-2-12-1-121-2-2-1-111110000-21100001000
χ2722222-122-122-12-122-12-12-1-1-12-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2220-200-1-10000110000000000-2-21-211-2-12211-1-1-1-10000-21100001000
χ2822222-122-122-12-122-12-12-1-1-12-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-200110000110000000000221-211-21-2-211111100002-1-10000-1000
χ2922222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-1-1-1-111111111122-20-200-1-10000110000000000-2-2-12-1-1-212-211-1-11100002110000-1000
χ3022222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111112-220-20011000011000000000022-12-1-1-2-1-221111-1-10000-2-1-100001000
χ3122222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-22-20200-1-10000-1-10000000000221-211212-2-1-1-1-1110000-2-1-100001000
χ3222222-122-122-12-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-2-220200110000-1-10000000000-2-21-2112-1-22-1-111-1-100002110000-1000
χ332222-122-122-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-1022202222-1-12200-1-1-1-1-1-1-1-1-1-100000002-1-100-1-1-1-1002200000000-1-10
χ342222-122-122-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-10-2-22022-2-2-1-12200-1-1-1-1-1-1-1-1-1-10000000-21100111100-2-200000000110
χ352222-122-122-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1022-20-2-22211-2-200111111111100000002-1-100-1-1-1-100-2-200000000110
χ362222-122-122-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-10-2-2-20-2-2-2-211-2-20011111111110000000-211001111002200000000-1-10
χ372222-122-122-12222-1-1-12-2-12-1-12-1-12-111-2-2111122-1-1-1-1-211-2-2111102-2-20-2-222-1-1220011-1-1-1-111110000000-2-1100-1-111002-200000000-110
χ382222-122-122-12222-1-1-12-2-12-1-12-1-12-111-2-2111122-1-1-1-1-211-2-211110-22-20-2-2-2-2-1-1220011-1-1-1-11111000000021-10011-1-100-22000000001-10
χ392222-122-122-12222-1-1-12-2-12-1-12-1-12-111-2-21111-2-2-1-1-1-1-211-2-2111102-220222211-2-200-1-11111-1-1-1-10000000-2-1100-1-11100-22000000001-10
χ402222-122-122-12222-1-1-12-2-12-1-12-1-12-111-2-21111-2-2-1-1-1-1-211-2-211110-222022-2-211-2-200-1-11111-1-1-1-1000000021-10011-1-1002-200000000-110
χ412-2-22222-2-22-2-2-22-2222202-2-2-2-22-22-2000000002i−2i22-2-20000000000000000002i−2i2i−2i00002i2i−2i−2i00002i−2i00000000000000000002i−2i2-2000000
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χ934-4-44-24-22-4-22-4242-2-21-20-222-121-1-2200003i−3i−3i3i4i−4i11-1-1000003i−3i−3i3i000000000−2i2i−2i2i0000ii−i−i-333-30000000000000000000000000000000
χ944-4-44-24-22-4-22-4242-2-21-20-222-121-1-2200003i−3i−3i3i−4i4i11-1-1000003i−3i−3i3i0000000002i−2i2i−2i0000−i−iii3-3-330000000000000000000000000000000
χ954-4-44-24-22-4-22-4242-2-21-20-222-121-1-220000−3i3i3i−3i4i−4i11-1-100000−3i3i3i−3i000000000−2i2i−2i2i0000ii−i−i3-3-330000000000000000000000000000000
χ964-4-44-24-22-4-22-4242-2-21-20-222-121-1-220000−3i3i3i−3i−4i4i11-1-100000−3i3i3i−3i0000000002i−2i2i−2i0000−i−iii-333-30000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-484-4-8-44-84842-4-40-2-4-2444-44200000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-44-4444-442220-22-2-2-2-22-220043−43−23−23232300-11-11000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-44-4444-442220-22-2-2-2-22-2200−43432323−23−2300-11-1100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-4844-8-4-444-8-4-4204-2-4-4244-2400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-4444-4-44442220-2-2222-2-2-2-2−4i34i3002i3−2i32i3−2i300-111-102i3−2i300−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-4444-4-44442220-2-2222-2-2-2-24i3−4i300−2i32i3−2i32i300-111-10−2i32i300i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-84-4-844-448-4-420-4-244-2-4424000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844844-8-4-8-42-4-4024-244-44-4-2000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-4444-44-422202-2-2-2-22-22-200006i−6i−6i6i00-1-11100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-4444-44-422202-2-2-2-22-22-20000−6i6i6i−6i00-1-111000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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