Finite Group Databasebeta

← Group #13169393

Character table — Group #13169393

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212121212121818181824242424242424242424242424242424272727273636363636363636545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212444412121212121212121212121212121212224412121212121212121212121212121212444444446612124412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-11-11-11-11-111-1-111-1-111111-11-111-1-1-1-11-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-111-11-1-11-1-11111-1-1-1-1-1-11-1-11-1-111111-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1111-1-11-111-111-1-1-1-111-1-1-1-1-111-1-1-11111-111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-111-1-1-11-11-11-11-1-111-1-1111111-11-1111-1-1-1-1-11-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-1111111-1-11-11-11-11-111-1-111-1-1-1-1-1-1-11-1111-1-111-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-111-111-11-1-11-1-11111-1-11111-111-1-1-111-1-1-111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1111-1-11-111-111-1-1-1-11111111-1-11-1-111-1-11-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-11-11-11-11-1-111-1-111-1-1-1-11-11-111-1-1111-11-1
χ17222222-122-12222-1-1222-1-1-1-1-12-122-1-122-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000002222-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1000000
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χ22222222-1-2-2-12222-1-1222-1-1-1-1-12-122-1-1-2-211-2-2-2-2-2-20000-1-1-1-1111111112-2-220000000000000000-2-2221-1-112-2-2211-1-1-1-1110000000011-1-1000000
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χ2622222-1222222-1-122-12-12-12-1-1-12-1-12-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-2-20022-1-1-1-122-1-1-1-1-1-1-1-1000000-2-21100000011110000-2-2000000001100
χ2722222-1222222-1-122-12-12-12-1-1-12-1-12-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12200-2-21111-2-21111111100000022-1-1000000-1-1-1-10000-2-2000000001100
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χ332222-122222-1-122222-1-1-12-122-1-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-10022-1-12222-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-100000000002200000000-1-1
χ342222-122222-1-122222-1-1-12-122-1-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-100-2-2-1-12222-1-1-1-1-1-1-1-1-1-10000-2-200001111110000000000-2-20000000011
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χ904-44-4-2-244-4-4-2222-44-221-2-22221-2-1-12-2-224-4-2211-1-100001-1-11-22-2211-1-1000000000000−3i3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ914-44-4-2-24-44-4-2222-44-221-2-22221-2-1-12-22-2-442-2-1-11100001-1-112-22-2-1-1110000000000003i−3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ924-44-4-2-24-44-4-2222-44-221-2-22221-2-1-12-22-2-442-2-1-11100001-1-112-22-2-1-111000000000000−3i3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000
χ934-4-4444-2002-4-4-44-22-444-2-222-2-42-44-2200000000000000-22-220000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000
χ944-4-4444-2002-4-4-44-22-444-2-222-2-42-44-2200000000000000-22-22000000000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ954-4-444-2400-4-4-42-24-424-24-2-42-22-42-2420000000000004-4-22-220000000000000000-224-40000-2-22200000000000000000000000000000000000000
χ964-4-444-2400-4-4-42-24-424-24-2-42-22-42-242000000000000-44-22-2200000000000000002-2-44000022-2-200000000000000000000000000000000000000
χ974-4-44-24400-422-444-4-4-2-2-242-44222-2-2-40000000000004-4-22-2200000000000000004-4-220000-2-22200000000000000000000000000000000000000
χ984-4-44-24400-422-444-4-4-2-2-242-44222-2-2-4000000000000-44-22-220000000000000000-442-2000022-2-200000000000000000000000000000000000000
χ994-4-44-2-2400-4222-24-42-21-2-222-2-12-11-220000003i−3i−3i3i004-41-11-100003i−3i−3i3i00000000-22-22−3i3i3i−3i11-1-100000000000000000000000000000000000000
χ1004-4-44-2-2400-4222-24-42-21-2-222-2-12-11-220000003i−3i−3i3i00-441-11-100003i−3i−3i3i000000002-22-23i−3i−3i3i-1-11100000000000000000000000000000000000000
χ1014-4-44-2-2400-4222-24-42-21-2-222-2-12-11-22000000−3i3i3i−3i004-41-11-10000−3i3i3i−3i00000000-22-223i−3i−3i3i11-1-100000000000000000000000000000000000000
χ1024-4-44-2-2400-4222-24-42-21-2-222-2-12-11-22000000−3i3i3i−3i00-441-11-10000−3i3i3i−3i000000002-22-2−3i3i3i−3i-1-11100000000000000000000000000000000000000
χ1038888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-400-4-88-44444-8-4-42-42-244-444-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-44-48-844-84-42-42-444-2-44-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-44-4-44444422222-2-2-22-2-2-20000006i−6i6i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-44-4-44444422222-2-2-22-2-2-2000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-48-84-44444-4-44222-2-2-222-2-2-22-44-44-4422-2-20000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-884-44444-4-44222-2-2-222-2-2-224-44-44-4-2-2220000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4004-8-84-4-4448-4-424-22444-4-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-400444-88-44-8-4-42-4-24-44-24-424000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4004444-4-444-4222-2-22-2-2-222-20000006i−6i−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4004444-4-444-4222-2-22-2-2-222-2000000−6i6i6i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000

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