Finite Group Databasebeta

← Group #13161287

Character table — Group #13161287

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444448888888888888888888888888888888888812121212121212121212121212121212121212122424242424242424363636363636363654547272108216
order122233333446666666666666663333666666666666121212121212121212124121212121212121212121212121212121212121212121212121212121212121212124488242424242424242424242424242424241212121212121212228824242424446642
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002200-20
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-20020
χ1122222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-100-1-100
χ1222222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-21111001100
χ1322222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000022-2-2111100-1-100
χ1422222222-1222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000-2-222-1-1-1-1001100
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χ1622222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-211111100000000000000
χ1722222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2111111-2-222-1-1-1-1-1-1-2-2-2-211111111111122-2-2-2-2-2-211111111111122-1-1-1-1-1-100000000000000
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χ202222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111-2-2111100000000000000
χ212222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-211-2-21111-2-2-1-122-1-1-1-11111-2-2-2-21111111122-2-21111-2-2-2-211111111-1-122-1-1-1-100000000000000
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χ232222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-100000000000000
χ242222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-21100000000000000
χ252222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-21111-2-211-2-2-1-1-1-122-1-111111111-2-2-2-2111122-2-211111111-2-2-2-21111-1-1-1-122-1-100000000000000
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χ282222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111111111-2-2-2-2111111-2-200000000000000
χ292222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2111111-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-222-2-2111111111111-2-2-2-2-1-1-1-1-1-12200000000000000
χ302222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2111111-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-200000000000000
χ3122-2-2222222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2000000000002-22-22-22-200000000000000002i−2i0000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ3222-2-2222222-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2000000000002-22-22-22-20000000000000000−2i2i000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ3322-2-222222-22-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-22222200000000000-22-22-22-22000000000000000000000000000000000000000000002-2000000002-200
χ3422-2-222222-22-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-22222200000000000-22-22-22-2200000000000000000000000000000000000000000000-2200000000-2200
χ3522-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-1000000000−i3i31-11-11-11-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000002-200−i3−i3i3i300-1100
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χ3722-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-1000000000i3−i31-11-11-11-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000002-200i3i3−i3−i300-1100
χ3822-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-111111111-1-1-1-1-2-2-2-212222-1000000000i3−i31-11-11-11-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000-2200−i3−i3i3i3001-100
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χ4122-2-22-1-1-122-2-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-12-1-1-12-2111-2000i3−i3i3−i3i3−i3002-2-11-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32i−2i000000−3−333−3−333−3−3332i−2i−ii−ii−ii00000000000000
χ4222-2-22-1-1-122-2-2111-2-22-1-1-12-21112-1-1-1-2-21111112-1-1-12-1-1-12-2111-2000i3−i3i3−i3i3−i3002-2-11-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i2i00000033−3−333−3−333−3−3−2i2ii−ii−ii−i00000000000000
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χ4622-2-2-12-1-122-21-211-2-2-12-1-121-211-12-1-111-2-21111-12-1-1-12-1-121-211-20i3−i300i3−i3−i3i300-112-2-11-11i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3−2i2i0033−3−3000033−3−3−3−333i−i−2i2ii−ii−i00000000000000
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χ5422-2-2-1-1-1222-2111-2-2-2-1-1-122111-2-1-1-12111111-2-2-1-1-12-1-1-122111-2-20i3−i3i3−i3−i3i30000-11-11-112-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000−2i2i0033−3−333−3−3−3−3330000i−ii−ii−i−2i2i00000000000000
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χ562-22-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−22−20000000000i2−i2i2−i2i2−i2−2i2i0000
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χ582-22-2222220022222-2-2-2-2-2-2-2-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000000−22−22−22−22−22−22−22−22−220000000000i2−i2i2−i2i2−i22i−2i0000
χ5944444444-2-4-44444-2-24444-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-42-4-4-4-4200000000000222222220000000000000000000000000000000000000000000000000000000000
χ6044444-2-2-24-4-44-2-2-2444-2-2-244-2-2-24-2-2-244-2-2-2-2-2-24-2-2-2-4222-4-4222-400000000000-4-42222220000000000000000000000000000000000000000000000000000000000
χ6144444-2-2-2-2444-2-2-2-2-24-2-2-2-24-2-2-2-2111-2-2111111-21114-2-2-2-24-2-2-2-2444-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111111111000000000000000000000000000000000000000000
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χ1298-8-88-4-4-48-400444-84-4444-84-4-4-48222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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