Finite Group Databasebeta

← Group #10693843

Character table — Group #10693843

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242444444444888888884444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-1111-1-1-111-1-1-111-11-1-1111-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-111-1-1
χ101-1111-1-1-111-1-1-111-11-1-1111-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii-1-111-1-111
χ111-1111-1-1-111-1-1-111-11-1-1111-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−i-1-111-1-111
χ121-1111-1-1-111-1-1-111-11-1-1111-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-111-1-1
χ131-1111-1-1-111-1-1-111-11-1-1111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii11-1-1-1-111
χ141-1111-1-1-111-1-1-111-11-1-1111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-1-11111-1-1
χ151-1111-1-1-111-1-1-111-11-1-1111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-1-11111-1-1
χ161-1111-1-1-111-1-1-111-11-1-1111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−iiiiiii−i−i−i−i−iii−i−i−iiiii−i−i11-1-1-1-111
χ17222222222222-2-2-2-22222222200000000-2-2000022-2-222-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ18222222222222-2-2-2-22222222200000000-2-2000022-2-222-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
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χ20222222222-2-2-22222-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
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χ2322222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2422222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2722222222-1-2-2-22222-2-1-1-1-1-1-1-122222222-2-2-2-2-2-2111111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2822222222-1-2-2-22222-2-1-1-1-1-1-1-122222222-2-2-2-2-2-2111111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2922222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222111111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222111111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
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χ32222-2-22-2-22000-22-2202-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000002-2002-22i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000000i2−i2i2−i2−22−22
χ33222-2-22-2-22000-22-2202-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000002-2002-2−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000000000−i2i2−i2i2−22−22
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χ482-2222-2-2-22-222-222-2-2-2-2222-2-2-2-2-2-22222-2222-2-2-2-2-2-222-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
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χ532-2222-2-2-2-1-222-222-2-211-1-1-1112222-2-2-2-2-22-2-2221111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000003−3−333−3−3300000000
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χ562-2222-2-2-2-1-222-222-2-211-1-1-111-2-2-2-22222-2222-2-21111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−333−33−3−3300000000
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χ964-4-44-44-44-2-44-400004222-22-2-2−2222−222222−2222−220022−22−22222-200-220000002−22−2−2−222−22−2222−2−2000000000000000000000000000000000000
χ974-4-4-4444-4400000000-44-4-444-4−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000−2i22i22i2−2i200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ984-4-4-4444-4400000000-44-4-444-42i2−2i2−2i22i2−2i22i22i2−2i20000000000000000002i2−2i2−2i22i20000−2i22i22i2−2i20000000000000000000000000000000000000000
χ994-4-4-4444-4-2000000002-222-2-22−2i22i22i2−2i22i2−2i2−2i22i200000000−2i32i300002i3−2i300i2−i2−i2i26−6−66−i2i2i2−i2−666−6000000000000000000000000000000000000
χ1004-4-4-4444-4-2000000002-222-2-22−2i22i22i2−2i22i2−2i2−2i22i2000000002i3−2i30000−2i32i300i2−i2−i2i2−666−6−i2i2i2−i26−6−66000000000000000000000000000000000000
χ1014-4-4-4444-4-2000000002-222-2-222i2−2i2−2i22i2−2i22i22i2−2i200000000−2i32i300002i3−2i300−i2i2i2−i2−666−6i2−i2−i2i26−6−66000000000000000000000000000000000000
χ1024-4-4-4444-4-2000000002-222-2-222i2−2i2−2i22i2−2i22i22i2−2i2000000002i3−2i30000−2i32i300−i2i2i2−i26−6−66i2−i2−i2i2−666−6000000000000000000000000000000000000

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