Finite Group Databasebeta

← Group #11781276

Character table — Group #11781276

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616363636363636363672727272
order1222333344446666666666668888488121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424666666661212121212121212444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ10222222222-2-22222222222222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000
χ1122222222-222-22222222222220000-20022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-200000000
χ1222222222-222-22222222222220000-20022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-22200000000
χ1322222222-2-2-2-22222222222220000200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000002i2i−2i−2i0000
χ1422222222-2-2-2-22222222222220000200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000−2i−2i2i2i0000
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χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000000000
χ1922222-1-1-12-2-2222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
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χ252222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-2-22-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112-2-1-12-1-12-1-111-211-211000000000000
χ262222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-2-22-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2211-211-211-1-12-1-12-1-1000000000000
χ272222-12-1-12-2-22-1-122-1-1-1-1-12-1-12222-2-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
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χ342222-1-12-12222-1-1-1-122-1-1-1-12-1-2-2-2-22-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-22111-2111-2-1-1-12-1-1-12000000000000
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χ1084-4-44-24-2-2000022-4-42222-24-2-2−222222−2200000000000−2i32i300−2i32i32i3−2i3000000002−2−22−222222−222−2−222−2−22−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ1094-4-44-24-2-2000022-4-42222-24-2-2−222222−22000000000002i3−2i3002i3−2i3−2i32i3000000002−2−22−222222−222−2−222−2−22i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
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χ1114-4-44-2-24-200002222-4-422-2-24-222−22−2222000000000002i3−2i3−2i32i3002i3−2i300000000−222−2−222−222−22−2222−222−2−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i6000000000000000000000000000000
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χ1154-4-44-2-2-240000222222-4-4-2-2-2422−22−2222000000000002i3−2i32i3−2i3−2i32i30000000000−222−2−222−2−222−222−22−2222−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ1164-4-44-2-2-240000222222-4-4-2-2-24−222222−2200000000000−2i32i3−2i32i32i3−2i300000000002−2−222−2−222−2−22−222222−22−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ1174-4-44-2-2-240000222222-4-4-2-2-24−222222−22000000000002i3−2i32i3−2i3−2i32i300000000002−2−222−2−222−2−22−222222−22i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000

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