Finite Group Databasebeta

← Group #13172920

Character table — Group #13172920

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12222233366666666633366666666666666636666666666666444422444466121212121212222244444412121212666666612121212121212121212121212666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11111111111-1-1-1-111-1-1-1-111111-1-111-1-111-11-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111111-1-11-1111-1-1-1-111-1-111-1-1-1-11111111-1-111-1-11-11-11-1-111-1-111-1-111-1-111-1-11-1
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-111-11-1-1-11111-1-1-1-111-1-1-1-1111111-111-1-111-11-11-111-1-111-1-1-1-111-1-111-1-1-11
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-11-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-111-1-111-1-111-1-111-1-111-1-1-1-11-1-111-1-1-111-11-1-1-1-1111111-1-1-1-11111-11
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1-111-1-111-1-1-1-1-111-1-1111-1-11-11111-1-1-1-111-1-1-1-111111-1
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-111-1-11111-1-111-11
χ1722222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-10000020222000022222222000000000002-100-1-1-1-1-10200-1-1-1-1-1-1-1-1-1-100000000
χ1822222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-100000202-2-20000-2-2-2-2-2-2-2-2000000000002-100-1-111-102001111-1-1111100000000
χ1922222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-100000-20-22200002222-2-2-2-200000000000-210011-1-110-200-1-1-1-111111100000000
χ2022222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-100000-20-2-2-20000-2-2-2-2222200000000000-2100111110-200111111-1-1-1-100000000
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χ222222222-12-122222-1-122-1-122-1-1222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-100002-22-20022220000000000-2-2-2-20000-11-2-1-11100-2-11-1-1000011000011110000
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χ242222222-12-122222-1-122-1-122-1-1222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2-2-200000000002222000011-2111100-211110000110000-1-1-1-10000
χ25222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222202022-1-1-1-1-1-1-1-10000220000-1-1-1-1200-1-10022020-1-1-1-1-1-10000000000-1-100
χ26222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-20-20-2-2111111110000220000-1-1-1-1-2001100-2-20-201111110000000000-1-100
χ27222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-22020-2-2-1-1-1-111110000-2-200001111200-1-100-2-2020-1-1111100000000001100
χ28222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-20-20221111-1-1-1-10000-2-200001111-2001100220-2011-1-1-1-100000000001100
χ292222-2-222-1222-1-1-1222-12-1-2-2-2-211-122-1-1-1-12-1-111-2-211-1-1-111110000020-22-2000022-2-2-2-222000000000002-100-1-11-110-20011-1-11111-1-100000000
χ302222-2-222-1222-1-1-1222-12-1-2-2-2-211-122-1-1-1-12-1-111-2-211-1-1-111110000020-2-220000-2-22222-2-2000000000002-100-1-1-1110-200-1-11111-1-11100000000
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χ332222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-11111000022-2-20022-2-2000000000022-2-20000-1-12-1-1-1-100-211110000110000-1-1110000
χ342222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-1111100002-2-220022-2-20000000000-2-2220000-11-2-1-1110021-1110000-1-1000011-1-10000
χ352222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-111110000-222-200-2-2220000000000-2-22200001-1211-1-100-2-11-1-1000011000011-1-10000
χ362222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-111110000-2-22200-2-222000000000022-2-2000011-21111002-1-1-1-10000-1-10000-1-1110000
χ372222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-11111222220-20-22-1-11111-1-10000-2-20000-1-1-1-1200-1-1002-20-2011-1-11100000000001100
χ382222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-111112222-20202-211-1-1-1-1110000-2-20000-1-1-1-1-2001100-22020-1-111-1-100000000001100
χ392222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-11111-2-2-2-220-202-2-1-111-1-11100002200001111200-1-100-220-201111-1-10000000000-1-100
χ402222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-11111-2-2-2-2-2020-2211-1-111-1-100002200001111-20011002-2020-1-1-1-1110000000000-1-100
χ4122-2-22-2222-22-22-2-22-2-22222-22-22-22-2-2-2-2-2-22222-22-22-22-2-222-2-22i2i−2i−2i0000000000000000002i−2i00002i2i−2i−2i00000000000000000000000000002i−2i00
χ4222-2-22-2222-22-22-2-22-2-22222-22-22-22-2-2-2-2-2-22222-22-22-22-2-222-2-2−2i−2i2i2i000000000000000000−2i2i0000−2i−2i2i2i0000000000000000000000000000−2i2i00
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χ4522-2-22-2-122-2-112-2-22-21-1-12-112-22-2-111-2-211-12-1-11-112-2-111-1-111−2i−2i2i2i000000−i3i3−i3i3−33−330000−2i2i0000ii−i−i000−i3i30000000−i3i3−33−330000000000i−i00
χ4622-2-22-2-122-2-112-2-22-21-1-12-112-22-2-111-2-211-12-1-11-112-2-111-1-111−2i−2i2i2i000000i3−i3i3−i33−33−30000−2i2i0000ii−i−i000i3−i30000000i3−i33−33−30000000000i−i00
χ4722-2-2-22222-22-22-2-22-2-2222-22-22-222-2-2-2-2-2-2222-22-22-222-2-2-2-2222i2i−2i−2i000000000000000000−2i2i00002i2i−2i−2i0000000000000000000000000000−2i2i00
χ4822-2-2-22222-22-22-2-22-2-2222-22-22-222-2-2-2-2-2-2222-22-22-222-2-2-2-222−2i−2i2i2i0000000000000000002i−2i0000−2i−2i2i2i00000000000000000000000000002i−2i00
χ4922-2-2-22-122-2-112-2-22-21-1-121-1-22-22-111-2-211-12-11-11-1-22-11111-1-12i2i−2i−2i000000−i3i3i3−i3−333−30000−2i2i0000−i−iii000−i3i30000000i3−i33−3−330000000000i−i00
χ5022-2-2-22-122-2-112-2-22-21-1-121-1-22-22-111-2-211-12-11-11-1-22-11111-1-12i2i−2i−2i000000i3−i3−i3i33−3−330000−2i2i0000−i−iii000i3−i30000000−i3i3−333−30000000000i−i00
χ5122-2-2-22-122-2-112-2-22-21-1-121-1-22-22-111-2-211-12-11-11-1-22-11111-1-1−2i−2i2i2i000000−i3i3i3−i33−3−3300002i−2i0000ii−i−i000−i3i30000000i3−i3−333−30000000000−ii00
χ5222-2-2-22-122-2-112-2-22-21-1-121-1-22-22-111-2-211-12-11-11-1-22-11111-1-1−2i−2i2i2i000000i3−i3−i3i3−333−300002i−2i0000ii−i−i000i3−i30000000−i3i33−3−330000000000−ii00
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χ8744-4-4-44-2-242-224-4-4-222-21-22-22-2-44-2-1-122221-212-2-112-21-1-1-1-1110000000000−2i32i32i3−2i3000000000000000000000i3−i30000000−i3i3000000000000000000
χ8844-4-4-44-2-242-224-4-4-222-21-22-22-2-44-2-1-122221-212-2-112-21-1-1-1-11100000000002i3−2i3−2i32i3000000000000000000000−i3i30000000i3−i3000000000000000000
χ894-44-40044-24-442-22-4-4-4-24-200000024-4-22-22-42-20000002-220000000000000000000000004-400000000000000000000000000000000-2200000000
χ904-44-40044-24-442-22-4-4-4-24-200000024-4-22-22-42-20000002-22000000000000000000000000-44000000000000000000000000000000002-200000000
χ914-44-4004-24-2-44-44-422-44-2-2000000-4-22-224-422-20000002-220000000000000000000000000000004i−4i000000000000000000000000000000−2i2i0000
χ924-44-4004-24-2-44-44-422-44-2-2000000-4-22-224-422-20000002-22000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i0000
χ934-44-400-24442-2-44-4-4-42-2-240000002-224-4-222-4-20000002-2200004i−4i4i−4i000000000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ944-44-400-24442-2-44-4-4-42-2-240000002-224-4-222-4-20000002-220000−4i4i−4i4i0000000000000000000000002i−2i2i−2i00000000000000000000000000000000
χ954-4-440044-2-4-4-422-2-444-24-20000002-442-22-2-42-200000022-200000000000000000000004-400000000000000000000000000000000-220000000000
χ964-4-440044-2-4-4-422-2-444-24-20000002-442-22-2-42-200000022-20000000000000000000000-44000000000000000000000000000000002-20000000000
χ974-4-44004-242-4-4-4-442-244-2-2000000-42-22-2-4422-200000022-200000000000000000000000000004-4000000000000000000000000000000-22000000
χ984-4-44004-242-4-4-4-442-244-2-2000000-42-22-2-4422-200000022-20000000000000000000000000000-440000000000000000000000000000002-2000000
χ994-4-4400-244-422-4-44-44-2-2-2400000022-2-442-22-4-200000022-200004-4-44000000000000000000000000-222-200000000000000000000000000000000
χ1004-4-4400-244-422-4-44-44-2-2-2400000022-2-442-22-4-200000022-20000-444-40000000000000000000000002-2-2200000000000000000000000000000000
χ101888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-8-4-4-44-44-444-444222-44-44-442-2-2-2-2-2-222-12-22-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-88-4-4-44-44-444-4442224-44-44-42-2-2-2-2-2-222-1-22-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8008-4-4-4-884-4444-8-4-420000004-442-2-444-22000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-48-484-44-44-8-842-4-4000000-2-44-442-2442000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-48-44-4-88-8444-42-400000042-2-44-44-242000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-4-4-44-44-44444222000000-22-22-22-2-2-2-10000001-11−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-4-4-4-44-44-44444222000000-22-22-22-2-2-2-10000001-113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88008-4-44-8-844-44-48-4-4200000044-4-224-44-22000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800-48-4-84444-4-88-42-4-4000000-24-44-4-22442000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-4-48444-8-884-4-4-42-40000004-224-44-4-242000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-444444-44-4-4222000000-2-22-22-22-2-2-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-444444-44-4-4222000000-2-22-22-22-2-2-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000

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