Finite Group Databasebeta

← Group #10826185

Character table — Group #10826185

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222222222344446666666222222444466666666666666661212121212121212222244446666666612121212121212121212888888882222888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ1311111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1111-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11
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χ20222222222222-12222-1-1-1-1-1-1-12222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111122-2-2-2-2-2-2-1-1-1-1111111-1-1111111000000000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-211111111-1-1-1-1-1-11111000000000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-11111-2-222-2-2221111-1-1-1-111-1-111-1-1-1-1000000000000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-1000022-2-222-1-1-1-1−i3−i3−i3−i3i3i3i3i3-1-1-1-11111-1-1-1-10000-2-200−i3−i3i3i3−i3−i3i3i3111111−i3−i3i3i3000000000000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-1000022-2-222-1-1-1-1i3i3i3i3−i3−i3−i3−i3-1-1-1-11111-1-1-1-10000-2-200i3i3−i3−i3i3i3−i3−i3111111i3i3−i3−i3000000000000000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-1−i3−i3−i3−i3i3i3i3i311111111111100002200−i3−i3i3i3i3i3−i3−i3-1-111-1-1i3i3−i3−i3000000000000000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-1i3i3i3i3−i3−i3−i3−i311111111111100002200i3i3−i3−i3−i3−i3i3i3-1-111-1-1−i3−i3i3i3000000000000000000
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χ2922222222-2-2-2-2-12222-1-1-1-1-1-1-1222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-222-22-2-21111-1-1-1-11111-1-11111000000000000000000
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χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-10000-2-222221111−i3−i3−i3−i3i3i3i3i311111111-1-1-1-10000-2200i3i3−i3−i3i3i3−i3−i311-1-1-1-1−i3−i3i3i3000000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-10000-2-222221111i3i3i3i3−i3−i3−i3−i311111111-1-1-1-10000-2200−i3−i3i3i3−i3−i3i3i311-1-1-1-1i3i3−i3−i3000000000000000000
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χ452-2-2222-2-222-2-222-2-22-2-2-2-22222-2-22002-20022-2-22-2-222-2-2200002-2-2200002-20000002-22-20000002-2000000000000000000000000
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χ522-2-2222-2-222-2-2-12-2-221111-1-1-1-222-2002-200-1-1111-1-111-1-11i3i3−i3−i3-111-1i3i3−i3−i3-220000001-11-1−i3i3i3−i3i3−i3-11i3−i3−i3i3i3−i3000000000000000000
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χ582-2-2222-2-2-2-22222-2-22-2-2-2-2222-222-200-2200-2-222-222-2-222-200002-2-2200002-20000002-22-2000000-22000000000000000000000000
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χ964-44-44-4-440000-2-4-44422-2-22-22-44-4400000000002-22-22-22-20000-22-22000000000000000000000000000000000000000000000000
χ974-4-4-4-44444-44-4-20000-22-2222-200004-4004-4-22-2200000000-22-220000-22-2200000000000000000000000000000000000000000000
χ984-4-4-4-44444-44-4-20000-22-2222-20000-4400-44-22-22000000002-22-200002-22-200000000000000000000000000000000000000000000
χ994-4-4-4-4444-44-44-20000-22-2222-200004-400-442-22-200000000-22-2200002-22-200000000000000000000000000000000000000000000
χ1004-4-4-4-4444-44-44-20000-22-2222-20000-44004-42-22-2000000002-22-20000-22-2200000000000000000000000000000000000000000000
χ10188-88-8-8-880000-400004-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-888-8-88-80000-40000-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000

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