Finite Group Databasebeta

← Group #13170654

Character table — Group #13170654

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order12333466633366612121236121212121222266662466666666666688122424242442266646666666661212126612121212122226666246666666666668812242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11111111111-1-11111-1-1-1-11-1-1-1-1-1111111111111111111111111111-11111111111-1-11111-1-1-1-11-1-1-1-1-1
χ311111111111111111111111111-1111-1-1-1-1-1-11-11111-1-1111-1-111-1-1-111111111111111111111111111-1111-1-1-1-1-1-11-11111-1-1111-1-111-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-11-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-11-1-1-1111
χ51111111111111111111111111-111-1-111-1-1-1-1-1111-1-11111-11-1-1-111-11111111111111111111111111-111-1-111-1-1-1-1-1111-1-11111-11-1-1-111-1
χ61111111111111111111111111-11-1-1-111-1-1-1-1-11-1-1-1-111-1-11-1-111-1-111111111111111111111111111-11-1-1-111-1-1-1-1-11-1-1-1-111-1-11-1-111-1-11
χ71111111111111111111111111-1-11-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-1-111111111111111111111111111-1-11-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-1-11
χ81111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1
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χ56111111111111111111111111111-11111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111
χ5711111111111111111111111111-1111-1-1-1-1-1-11-11111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-11-1-1-1-111-1-1-111-1-1111
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χ591111111111111111111111111-111-1-111-1-1-1-1-1111-1-11111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-111-1-1-1-11-1111-1-11
χ601111111111111111111111111-11-1-1-111-1-1-1-1-11-1-1-1-111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-11111-1-111-111-1-111-1
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χ9044-24-2-4-24-2-21-2-21-222-4112-12-1-10002i3−2i30000000000−i3i3000000000000-4-42-4242-422-122-12-2-24-1-1-21-211000−2i32i30000000000i3−i3000000000000
χ9144-2-244-2-241-2-21-2-24-2-2111-2-2110040000000000-2-200001100000000-4-422-4-422-4-122-122-422-1-1-122-1-100-40000000000220000-1-100000000
χ9244-2-244-2-241-2-21-2-24-2-2111-2-21100-40000000000220000-1-100000000-4-422-4-422-4-122-122-422-1-1-122-1-10040000000000-2-200001100000000
χ9344-2-24-4-2-241-2-21-2-2-42211-122-1-100000000000000000003-300000000-4-422-4422-4-122-1224-2-2-1-11-2-2110000000000000000000-3300000000
χ9444-2-24-4-2-241-2-21-2-2-42211-122-1-10000000000000000000-3300000000-4-422-4422-4-122-1224-2-2-1-11-2-21100000000000000000003-300000000
χ954-44440-4-4-4444-4-4-40004-40000000000000000000000000000000000-44-4-4-40444-4-4-4444000-440000000000000000000000000000000000
χ964-444-20-4-424-2-2-422000-2200000000000000−2i32i3000000000000000000-44-4-42044-2-4224-2-20002-2000000000000002i3−2i3000000000000000000
χ974-444-20-4-424-2-2-422000-22000000000000002i3−2i3000000000000000000-44-4-42044-2-4224-2-20002-200000000000000−2i32i3000000000000000000
χ984-44-240-42-4-24-22-42000-220000000000000000000000000000000i6−i60-44-42-404-242-42-24-20002-20000000000000000000000000000000−i6i60
χ994-44-240-42-4-24-22-42000-220000000000000000000000000000000−i6i60-44-42-404-242-42-24-20002-20000000000000000000000000000000i6−i60
χ1004-4-24402-4-4-2-2422-4000-2200000000000000000000000000000i6−i6000-442-4-40-24422-4-2-240002-200000000000000000000000000000−i6i6000
χ1014-4-24402-4-4-2-2422-4000-2200000000000000000000000000000−i6i6000-442-4-40-24422-4-2-240002-200000000000000000000000000000i6−i6000
χ10288-4-4-48-4-4-4222222-4-4-4-1-1222-1-100000000000000000000000000000-8-8444-8444-2-2-2-2-2-244411-2-2-21100000000000000000000000000000
χ10388-4-4-4-8-4-4-4222222444-1-1-2-2-21100000000000000000000000000000-8-84448444-2-2-2-2-2-2-4-4-411222-1-100000000000000000000000000000
χ1048-88-4-40-844-4-4244-20002-20000000000000000000000000000000000-88-84408-4-444-2-4-42000-220000000000000000000000000000000000
χ1058-8-48-404-84-42-44-240002-20000000000000000000000000000000000-884-840-48-44-24-42-4000-220000000000000000000000000000000000
χ1068-8-4-48044-82-4-4-2440002-20000000000000000000000000000000000-8844-80-4-48-2442-4-4000-220000000000000000000000000000000000
χ1078-8-4-4-40444222-2-2-2000-1100033−3300000000000000000000000000000-884440-4-4-4-2-2-22220001-1000−333300000000000000000000000000000
χ1088-8-4-4-40444222-2-2-2000-11000−333300000000000000000000000000000-884440-4-4-4-2-2-22220001-100033−3300000000000000000000000000000

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