Finite Group Databasebeta

← Group #11721826

Character table — Group #11721826

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111111111111111111111112222222222226666666666666666666666666666666666666666666666666666666666666666181818181818181818181818181818181818181818181818
order1222334444666666121212121212121222446666121212123333666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212124444444412121212121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-11111-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ1011-1-11111-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ1111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ1211-1-11111-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ1311-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ1411-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ1511-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ1611-1-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222222222222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000
χ20222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000
χ21222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000000000
χ22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000000000
χ23222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000000000
χ24222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000000
χ25222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000
χ26222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000
χ27222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000
χ28222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000
χ29222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000
χ30222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000
χ31222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000
χ32222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000
χ3322-2-22222-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2-21111112-1-1-122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000000000
χ3422-2-22222-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-2-12-1-111-2-21111-1-122-1-1-1-111-2-21111-12-1-1-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000000000000000
χ3522-2-22222-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-2-1-12-11111-2-211-1-1-1-122-1-11111-2-211-1-12-1-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000000000000000
χ3622-2-22222-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000000000
χ3722-2-22222-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-2222-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000000000000000
χ3822-2-22222-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-222-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000000000000000
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χ4022-2-22222-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122000000000000000000000000
χ4122-2-222-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-2222-1-1-1-2-211111122-1-1-1-1-1-1-2-21111112-1-1-1-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000000000000000000000
χ4222-2-222-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-222-12-1-111-2-21111-1-122-1-1-1-111-2-21111-12-1-111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1000000000000000000000000
χ4322-2-222-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-222-1-12-11111-2-211-1-1-1-122-1-11111-2-211-1-12-11111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-1000000000000000000000000
χ4422-2-222-2-22222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-222-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122000000000000000000000000
χ4522-2-222-2-22222-2-2-2-2-2-2-2-22222-222-2-2-22222-2-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111000000000000000000000000
χ4622-2-222-2-22222-2-2-2-2-2-2-2-22222-222-2-2-22222-2-2-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-21111000000000000000000000000
χ4722-2-222-2-22222-2-2-2-2-2-2-2-22222-222-2-2-22222-2-2-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-12-11111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-211000000000000000000000000
χ4822-2-222-2-22222-2-2-2-2-2-2-2-22222-222-2-2-22222-2-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-12111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2000000000000000000000000
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χ1186-66-6−3−3i3−3+3i3−6i6i−6i6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1206-66-6−3+3i3−3−3i3−6i6i−6i6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1226-6-66−3−3i3−3+3i3−6i6i6i−6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1236-6-66−3+3i3−3−3i36i−6i−6i6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i36ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1246-6-66−3+3i3−3−3i3−6i6i6i−6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.