Finite Group Databasebeta

← Group #13172261

Character table — Group #13172261

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order122222333666666666333666666666666666366666666666664444444444121212121212121244444444441212121212121212121212121212121212121212121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
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
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111111-11-11-111-1-111-1-1-1-111-1-111-1-11111111-1-1-11-111-1-111-1-111-1-1-1-111-1-111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111111-11-1-1111-1-111-1-1-1-1-1-111-1-111111111-11-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-11-111-1-1-111-1-111-1-1-1-111-1-1111111-1-11-1111-1-1-111-1-11111-1-1-1-1-1-111-1-1111-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-11-11-11-1-111-1-111-1-111-1-111-1-11111-1-1-1111-11-1-111-1-111-1-111-1-111-1-111-1-1-11
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-111-111-1-1-1-11111-1-11111-1-1-1-111-11
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-11-11-1111-1-1-1-111-1-11111-1-11111-1-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111-11-11-1-1-11111-1-111-1-111-1-11111-1-1-11
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1-11-111-1-11-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1722222222-12222-1-1-1222-1-12222-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-12200000000-1-1-1-122002200-1-1-1-1-1-1-1-10000-1-10000000000
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χ222222222-122-12-12222-1-12-122-1-122-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-100000022-2-200002222000000-2-2-2-200000-1-210-11-20000-1-1-1-11111000000111100
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χ25222222-122-12-12222-12-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-100002200222222000000222200000000-10-12-102-1-1-1-1-10000-1-1-1-100-1-1-1-1000000
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χ27222222-122-12-12222-12-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-10000-2-20022-2-2-2-2000000-2-2-2-20000000010-12102-111110000-1-1-1-1001111000000
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χ894-44-40044-2-4-44-4-222-444-2-2000000-4224-4-22-22-20000002-2200004i−4i4i−4i000000000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ904-44-40044-2-4-44-4-222-444-2-2000000-4224-4-22-22-20000002-220000−4i4i−4i4i0000000000000000000000002i−2i2i−2i00000000000000000000000000000000
χ914-44-4004-24-42424-4-4-4-2-24-20000002-42-224-4-22-20000002-220000000000000000000000000000004-400000000000000000000000000000000-2200
χ924-44-4004-24-42424-4-4-4-2-24-20000002-42-224-4-22-20000002-22000000000000000000000000000000-44000000000000000000000000000000002-200
χ934-44-400-2442-4-2-44-4-424-2-2400000022-4-22-224-4-20000002-22000000000000000000000000004i−4i00000000000000000000000000000000−2i2i000000
χ944-44-400-2442-4-2-44-4-424-2-2400000022-4-22-224-4-20000002-2200000000000000000000000000−4i4i000000000000000000000000000000002i−2i000000
χ954-4-440044-2-4-4-442-224-44-2-2000000-422-442-22-2-200000022-200004i−4i−4i4i000000000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ964-4-440044-2-4-4-442-224-44-2-2000000-422-442-22-2-200000022-20000−4i4i4i−4i0000000000000000000000002i−2i−2i2i00000000000000000000000000000000
χ974-4-44004-24-42-4-2-44-442-24-20000002-422-2-442-2-200000022-200000000000000000000000000004i−4i00000000000000000000000000000000−2i2i0000
χ984-4-44004-24-42-4-2-44-442-24-20000002-422-2-442-2-200000022-20000000000000000000000000000−4i4i000000000000000000000000000000002i−2i0000
χ994-4-4400-2442-424-44-4-2-4-2-2400000022-42-22-2-44-200000022-20000000000000000000000004-400000000000000000000000000000000-2200000000
χ1004-4-4400-2442-424-44-4-2-4-2-2400000022-42-22-2-44-200000022-2000000000000000000000000-44000000000000000000000000000000002-200000000
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
χ10388-8-88-8-4-4-4-4-44444-444222-44-44-44222-2-2-2-2-2-2-12-22-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-88-4-4-4-4-44444-4442224-44-44-4222-2-2-2-2-2-2-1-22-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8008-4-4-8484-444-8-4-4-4200000044-2-44-442-22000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-48-44-8-4-8-44448-42-40000004-24-442-2-442000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-4-4844-448-8-84-42-4-4000000-2442-2-44-442000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-4-4-444-44-4444-4222000000-2-2-22-22-22-2-10000001-11−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-4-4-444-44-4444-4222000000-2-2-22-22-22-2-10000001-113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88008-4-4-84-8-44-4484-4-4200000044-24-44-4-222000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-8800-48-44-8484-44-4-8-42-40000004-244-4-224-42000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-4-48444-4-88-8-442-4-4000000-244-224-44-42000000-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-4444-44-44-44222000000-2-2-2-22-22-22-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-4444-44-44-44222000000-2-2-2-22-22-22-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000

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