Finite Group Databasebeta

← Group #13176746

Character table — Group #13176746

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222222222222334444444444444444444444444666666666668888888888888888888888991212121212121212121212121212161616161616161618181818182424242424242424272736363636365454547272108108
order1233333466666884423333466661212121212242424242424242424242881212121212121212666661212121212121212122424242424242424442466662424242424242424666612121212288121266661212121222246242448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-11111-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ411111111111111111-11111-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1
χ6111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111
χ7111111111111111-1-1-11111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-111
χ8111111111111111-1-1-11111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111111-1-1
χ91111111111111-1-11111111-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111111-111-1-11-1-1-111-1
χ101111111111111-1-11111111-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-111-1111-1-11
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χ161111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-111-1-1-1-1-1-1111111-11-1111-1-1-11-11
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χ202222222-22222200-2-20222202222-2-2-2-2-20000000000200-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-20022220000000000000000200-2-2000000002200200-2000000
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χ23222222-122222-12200-2-1-1-1-1-2-1-1-1-12222-122222222-1-100000000000-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-1-1-1-1-1220000000000000011111111222-1-10000000000-2-2-1-1-10001100
χ24222222-122222-12200-2-1-1-1-1-2-1-1-1-12222-122222222-1-100000000000-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000011111111-2-2-211000000000022111000-1-100
χ25222222-122222-1-2-2002-1-1-1-1-2-1-1-1-12222-1-2-2-2-2-2-2-2-211000000000002222-1-2-2-2-21-1-1-1-1111111112200000000000000-1-1-1-111112-2-2-1-10000000000-22-1110001-100
χ26222222-122222-1-2-2002-1-1-1-1-2-1-1-1-12222-1-2-2-2-2-2-2-2-211000000000002222-1-2-2-2-21-1-1-1-111111111-2-200000000000000-1-1-1-11111-2221100000000002-21-1-1000-1100
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χ3922-12-1-122-12-1-1222-2-22-12-1-12-12-1-1-12-1-12-1-122-1-1-1-122-2-2-211-2-21111-12-1-12-12-1-12-12-1-1-1-122-1-1-1-100-2-21-21111-2-21111-12-1-1-12-1-1000001-2111-21100000000000000
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χ1054-4-24-2-2402-422-4−2i22i24i−4i0-24-2-202-42200000i2−i2−2i22i2i2−i2i2−i2−2i22i20−2222−2i2i4i−4i−2i2i−2i2i00000000000000i2−i2−2i22i2i2−i2i2−i2000000002−2−22222−22−200000000000000000000000000000000000
χ1064-4-24-2-2402-422-4−2i22i2−4i4i0-24-2-202-42200000i2−i2−2i22i2i2−i2i2−i2−2i22i2022−222i−2i−4i4i2i−2i2i−2i00000000000000i2−i2−2i22i2i2−i2i2−i200000000−2222−22−22−2200000000000000000000000000000000000
χ1074-4-2-24-24022-42-42i2−2i24i−4i0-2-24-2022-4200000−i2i2−i2i22i2−2i2−i2i22i2−2i2022−22−2i2i−2i2i4i−4i−2i2i00000000000000−i2i2−i2i22i2−2i2−i2i200000000−22−2222−22−2200000000000000000000000000000000000
χ1084-4-2-24-24022-42-42i2−2i2−4i4i0-2-24-2022-4200000−i2i2−i2i22i2−2i2−i2i22i2−2i20−22222i−2i2i−2i−4i4i2i−2i00000000000000−i2i2−i2i22i2−2i2−i2i2000000002−22−2−22222−200000000000000000000000000000000000
χ1094-4-2-24-24022-42-4−2i22i24i−4i0-2-24-2022-4200000i2−i2i2−i2−2i22i2i2−i2−2i22i20−2222−2i2i−2i2i4i−4i−2i2i00000000000000i2−i2i2−i2−2i22i2i2−i2000000002−22−2−22222−200000000000000000000000000000000000
χ1104-4-2-24-24022-42-4−2i22i2−4i4i0-2-24-2022-4200000i2−i2i2−i2−2i22i2i2−i2−2i22i2022−222i−2i2i−2i−4i4i2i−2i00000000000000i2−i2i2−i2−2i22i2i2−i200000000−22−2222−22−2200000000000000000000000000000000000
χ1114-4-2-2-2440222-4-42i2−2i24i−4i0-2-2-240222-400000−i2i2−i2i2−i2i22i2−2i22i2−2i2022−22−2i2i−2i2i−2i2i4i−4i00000000000000−i2i2−i2i2−i2i22i2−2i200000000−22−22−2222−2200000000000000000000000000000000000
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χ1134-4-2-2-2440222-4-4−2i22i24i−4i0-2-2-240222-400000i2−i2i2−i2i2−i2−2i22i2−2i22i20−2222−2i2i−2i2i−2i2i4i−4i00000000000000i2−i2i2−i2i2−i2−2i22i2000000002−22−22−2−222200000000000000000000000000000000000
χ1144-4-2-2-2440222-4-4−2i22i2−4i4i0-2-2-240222-400000i2−i2i2−i2i2−i2−2i22i2−2i22i2022−222i−2i2i−2i2i−2i−4i4i00000000000000i2−i2i2−i2i2−i2−2i22i200000000−22−22−2222−2200000000000000000000000000000000000
χ115888-4-4-4-4-88-4-4-4-400000-42220-4222-8444400000000000000000000000000000004-2-2-200000000000000000000000000000000000000000000000000000000000
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χ11788-4-48-4-4-8-4-48-4-40000022-42022-4244-8440000000000000000000000000000000-2-24-200000000000000000000000000000000000000000000000000000000000
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χ1198-88-4-4-4-40-844444i2−4i2000-422204-2-2-2000004i2−4i2−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000−2i22i2i2−i2i2−i2i2−i2000000000000000000000000000000000000000000000000000
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χ1218-8-48-4-4-404-84444i2−4i20002-4220-24-2-200000−2i22i24i2−4i2−2i22i2−2i22i2−2i22i20000000000000000000000000i2−i2−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000000000000
χ1228-8-48-4-4-404-8444−4i24i20002-4220-24-2-2000002i2−2i2−4i24i22i2−2i22i2−2i22i2−2i20000000000000000000000000−i2i22i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000000000000
χ1238-8-4-48-4-4044-8444i2−4i200022-420-2-24-200000−2i22i2−2i22i24i2−4i2−2i22i2−2i22i20000000000000000000000000i2−i2i2−i2−2i22i2i2−i2000000000000000000000000000000000000000000000000000
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χ1258-8-4-4-48-40444-844i2−4i2000222-40-2-2-2400000−2i22i2−2i22i2−2i22i24i2−4i2−2i22i20000000000000000000000000i2−i2i2−i2i2−i2−2i22i2000000000000000000000000000000000000000000000000000
χ1268-8-4-4-48-40444-84−4i24i2000222-40-2-2-24000002i2−2i22i2−2i22i2−2i2−4i24i22i2−2i20000000000000000000000000−i2i2−i2i2−i2i22i2−2i2000000000000000000000000000000000000000000000000000

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