Finite Group Databasebeta

← Group #13171970

Character table — Group #13171970

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order122222333666666666333666666666666666366666666666664444224444661212121212124444444444121212126666666121212121212121212121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11111111111-1-1-1-111-1-1-1-11111-11-111-1-1111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
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
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-11-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1-11111-111-1-1111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111111-1-11-111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111111-1-111-111-1-1-1-111-1-111-1-1-1-1111111-11-111-1-11-1-111-1-111-1-111-1-111-1-1-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-111-1-11-1-11111-1-1-1-111-1-1-1-11111111-11-1-111-111-1-111-1-111-1-1-1-111-1-1-1-1111-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-1-111-11-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-11
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-1-1-1-1-111-1-111-1-111-1-111-11
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1111-1-111-1-111-1-111-1-111-1-1-1-1-11-111-1-1-11-111-1-1-1-11111-1-1111111-1-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-11-1-1-111-1-11111-1-111-1-111-1-1-1-11-11-1-1111-11-1-11111-1-1-1-1-1-1111111-1-1-11
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-11111-1-111-1-1111-1
χ1722222222-1-12222-1-1222-1-12222-1-12-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1000022220022220000000000222200002-1-1-1-1-1-100-1-12-1-10000-1-1-1-1-1-100000000
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χ25222222-1222-1-12222-12-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222202022-1-1-1-1-1-1-1-10000220000-1-1-1-1020-1-10022200-1-1-1-1-1-1000000-1-1000000
χ26222222-1222-1-12222-12-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-20-20-2-2111111110000220000-1-1-1-10-201100-2-2-200111111000000-1-1000000
χ27222222-1222-1-12222-12-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-22020-2-2-1-1-1-111110000-2-200001111020-1-100-2-2200-1-1111100000011000000
χ28222222-1222-1-12222-12-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-20-20221111-1-1-1-10000-2-2000011110-20110022-20011-1-1-1-100000011000000
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χ382222-2-2-1222-1-12222-12-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-111112222-2020-2211-1-1-1-1110000-2-20000-1-1-1-10-201100-22200-1-111-1-100000011000000
χ392222-2-2-1222-1-12222-12-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-11111-2-2-2-220-20-22-1-111-1-11100002200001111020-1-100-22-2001111-1-1000000-1-1000000
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χ4122-2-22-2222-22-2-2-22-2-222222-22-22-22-2-2-2-2-2-22222-22-22-22-2-222-2-22i2i−2i−2i0000000000000000002i−2i00002i2i−2i−2i0000000000000000000000002i−2i000000
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χ4822-2-2-22222-22-2-2-22-2-22222-22-22-222-2-2-2-2-2-2222-22-22-222-2-2-2-222−2i−2i2i2i0000000000000000002i−2i0000−2i−2i2i2i0000000000000000000000002i−2i000000
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χ8544-4-4-44-24-22-22-4-4-2224-21-22-2-442-2-2-1-122221-212-2-112-21-1-1-1-1110000000000−2i32i32i3−2i3000000000000000000000i3−i30000000−i3i3000000000000000000
χ8644-4-4-44-24-22-22-4-4-2224-21-22-2-442-2-2-1-122221-212-2-112-21-1-1-1-11100000000002i3−2i3−2i32i3000000000000000000000−i3i30000000i3−i3000000000000000000
χ8744-4-4-44-2-24-4-22224-42-21-2-22-22-2-4412222-1-1-2-21-112-22-21-1-1-1-1110000000000000023−23−232300000000000000000000000000003−3−3300000000000000
χ8844-4-4-44-2-24-4-22224-42-21-2-22-22-2-4412222-1-1-2-21-112-22-21-1-1-1-11100000000000000−232323−230000000000000000000000000000−333−300000000000000
χ894-44-40044-2-2-4-44-4224-44-2-2000000-4-22-224-422-20000002-220000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
χ904-44-40044-2-2-4-44-4224-44-2-2000000-4-22-224-422-20000002-22000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000
χ914-44-4004-244-4-4-22-4-442-24-200000024-4-22-22-42-20000002-220000000000000000000000004i−4i00000000000000000000000000000000000000−2i2i00
χ924-44-4004-244-4-4-22-4-442-24-200000024-4-22-22-42-20000002-22000000000000000000000000−4i4i000000000000000000000000000000000000002i−2i00
χ934-44-400-2444224-4-4-4-2-4-2-240000002-224-4-222-4-20000002-2200004-44-4000000000000000000000000-22-2200000000000000000000000000000000
χ944-44-400-2444224-4-4-4-2-4-2-240000002-224-4-222-4-20000002-220000-44-440000000000000000000000002-22-200000000000000000000000000000000
χ954-4-440044-22-44-442-2-4-44-2-2000000-42-22-2-4422-200000022-200000000000000000000000000004-400000000000000000000000000-220000000000
χ964-4-440044-22-44-442-2-4-44-2-2000000-42-22-2-4422-200000022-20000000000000000000000000000-44000000000000000000000000002-20000000000
χ974-4-44004-24-4-442-2-44-42-24-20000002-442-22-2-42-200000022-200000000000000000000004i−4i00000000000000000000000000000000000000−2i2i0000
χ984-4-44004-24-4-442-2-44-42-24-20000002-442-22-2-42-200000022-20000000000000000000000−4i4i000000000000000000000000000000000000002i−2i0000
χ994-4-4400-244-42-2-44-442-4-2-2400000022-2-442-22-4-200000022-200004i−4i−4i4i000000000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ1004-4-4400-244-42-2-44-442-4-2-2400000022-2-442-22-4-200000022-20000−4i4i4i−4i0000000000000000000000002i−2i−2i2i00000000000000000000000000000000
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
χ10388-8-88-8-4-4-44-4444-444-4222-44-44-442-2-2-2-2-2-222-12-22-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-88-4-4-44-4444-444-42224-44-44-42-2-2-2-2-2-222-1-22-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8008-4-4-4-8-8-444484-4-420000004-442-2-444-22000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-48-4-4448-844-4-8-42-400000042-2-44-44-242000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-48844-44-8-8-442-4-4000000-2-44-442-2442000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-4-4-444-4444-44222000000-22-22-22-2-2-2-10000001-11−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-4-4-4-444-4444-44222000000-22-22-22-2-2-2-10000001-113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88008-4-44-884-44-4-84-4-4200000044-4-224-44-22000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800-48-444-4-884-44-8-42-40000004-224-44-4-242000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-4-48-84-44-4-88442-4-4000000-24-44-4-22442000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-444-44-44-444222000000-2-22-22-22-2-2-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-444-44-44-444222000000-2-22-22-22-2-2-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000

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