Finite Group Databasebeta

← Group #13161281

Character table — Group #13161281

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11222222222222222444444444444444444444444444444888888888888888888888888888888888881212181824242424242424242424242424242424243636363636727272108108216
order122333334466666663333666666666666666612121212121212121212412121212121212121212121212121212121212121212121212121212121212121212248866668121212122424242424242424824242424266888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-111111-1-1-111-1
χ611111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111111111111-1-1-1-1-11
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-111111-1
χ922222222-2-2222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000002i−2i0
χ1022222222-2-2222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000−2i2i0
χ112222222-122-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000000000000002-1-1-1-12-1-1000
χ122222222-122-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000000000-21111-211000
χ132222222-122-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110022000000000000000002-1-1-1-1-211000
χ142222222-122-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100-2-200000000000000000-211112-1-1000
χ152222-1-1-12222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002-1-1-122-1-1-122-1-1-1-1-1-100000000000
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χ172222-1-1-12222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-211111111111122002-1-1-1-22-1-1-1-2-211111100000000000
χ182222-1-1-12222222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-200-21112-211122-1-1-1-1-1-100000000000
χ19222-12-1-1222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-12-1-12-12-1-1-1-122-1-1-1-100000000000
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χ22222-12-1-1222222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-2-2001-21121-211-1-122-1-1-1-100000000000
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χ24222-1-12-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-20011-21-211-211111-2-21100000000000
χ25222-1-12-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-211112200-1-12-1-2-1-12-11111-2-21100000000000
χ26222-1-12-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-2-20011-21211-21-1-1-1-122-1-100000000000
χ27222-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222200-1-1-122-1-1-12-1-1-1-1-1-12200000000000
χ28222-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-200111-2-2111-2111111-2-200000000000
χ29222-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-22200-1-1-12-2-1-1-12111111-2-200000000000
χ30222-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-2-200111-22111-2-1-1-1-1-1-12200000000000
χ3122-2222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2000000000002-22-22-22-200000000000000002-20022220-2-2-2-20000000000000000000
χ3222-2222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2000000000002-22-22-22-20000000000000000-2200-2-2-2-2022220000000000000000000
χ3322-222222-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2200000000000-22-22-22-220000000000000000002200000000000000000-222-2-2000000
χ3422-222222-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2200000000000-22-22-22-22000000000000000000-2-2000000000000000002-2-222000000
χ3522-22222-1-2211-12222-1-1-1-1-2-2-2-211111111-1-1-1-112222-2-2-2-2-10−i3i3000000001-11-11-11-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002200000000000000000-2-1-1110−i3i3000
χ3622-22222-1-2211-12222-1-1-1-1-2-2-2-211111111-1-1-1-112222-2-2-2-2-10−i3i3000000001-11-11-11-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-2-200000000000000000211-1-10i3−i3000
χ3722-22222-1-2211-12222-1-1-1-1-2-2-2-211111111-1-1-1-112222-2-2-2-2-10i3−i3000000001-11-11-11-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002200000000000000000-2-1-1110i3−i3000
χ3822-22222-1-2211-12222-1-1-1-1-2-2-2-211111111-1-1-1-112222-2-2-2-2-10i3−i3000000001-11-11-11-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-2-200000000000000000211-1-10−i3i3000
χ3922-22-1-1-122-2-2-222-1-1-12-1-1-1-2111-2-21111112-1-1-12-21112-1-1-1-200000−i3i3−i3i3−i3i32-2-11-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2002-1-1-10-211100−i3i3−i3i3−i3i300000000000
χ4022-22-1-1-122-2-2-222-1-1-12-1-1-1-2111-2-21111112-1-1-12-21112-1-1-1-200000−i3i3−i3i3−i3i32-2-11-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-2200-211102-1-1-100i3−i3i3−i3i3−i300000000000
χ4122-22-1-1-122-2-2-222-1-1-12-1-1-1-2111-2-21111112-1-1-12-21112-1-1-1-200000i3−i3i3−i3i3−i32-2-11-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2002-1-1-10-211100i3−i3i3−i3i3−i300000000000
χ4222-22-1-1-122-2-2-222-1-1-12-1-1-1-2111-2-21111112-1-1-12-21112-1-1-1-200000i3−i3i3−i3i3−i32-2-11-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-2200-211102-1-1-100−i3i3−i3i3−i3i300000000000
χ4322-2-12-1-122-2-2-22-12-1-1-12-1-11-21111-2-21111-12-1-121-211-12-1-1-2000−i3i300−i3i3i3−i3-112-2-11-11−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i32-200-12-1-101-211−i3i300−i3i3i3−i300000000000
χ4422-2-12-1-122-2-2-22-12-1-1-12-1-11-21111-2-21111-12-1-121-211-12-1-1-2000−i3i300−i3i3i3−i3-112-2-11-11−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-22001-2110-12-1-1i3−i300i3−i3−i3i300000000000
χ4522-2-12-1-122-2-2-22-12-1-1-12-1-11-21111-2-21111-12-1-121-211-12-1-1-2000i3−i300i3−i3−i3i3-112-2-11-11i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i32-200-12-1-101-211i3−i300i3−i3−i3i300000000000
χ4622-2-12-1-122-2-2-22-12-1-1-12-1-11-21111-2-21111-12-1-121-211-12-1-1-2000i3−i300i3−i3−i3i3-112-2-11-11i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-22001-2110-12-1-1−i3i300−i3i3i3−i300000000000
χ4722-2-1-12-122-2-2-22-1-12-1-1-12-111-211111-2-211-1-12-1211-21-1-12-1-2000−i3i3i3−i300−i3i3-11-112-2-11−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i32-200-1-12-1011-21−i3i3i3−i300−i3i300000000000
χ4822-2-1-12-122-2-2-22-1-12-1-1-12-111-211111-2-211-1-12-1211-21-1-12-1-2000−i3i3i3−i300−i3i3-11-112-2-11−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3-220011-210-1-12-1i3−i3−i3i300i3−i300000000000
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χ5022-2-1-12-122-2-2-22-1-12-1-1-12-111-211111-2-211-1-12-1211-21-1-12-1-2000i3−i3−i3i300i3−i3-11-112-2-11i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-220011-210-1-12-1−i3i3i3−i300−i3i300000000000
χ5122-2-1-1-1222-2-2-22-1-1-12-1-1-12111-2111111-2-2-1-1-122111-2-1-1-12-2000−i3i3−i3i3i3−i300-11-11-112-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300002-200-1-1-120111-2−i3i3−i3i3i3−i30000000000000
χ5222-2-1-1-1222-2-2-22-1-1-12-1-1-12111-2111111-2-2-1-1-122111-2-1-1-12-2000−i3i3−i3i3i3−i300-11-11-112-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-2200111-20-1-1-12i3−i3i3−i3−i3i30000000000000
χ5322-2-1-1-1222-2-2-22-1-1-12-1-1-12111-2111111-2-2-1-1-122111-2-1-1-12-2000i3−i3i3−i3−i3i300-11-11-112-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300002-200-1-1-120111-2i3−i3i3−i3−i3i30000000000000
χ5422-2-1-1-1222-2-2-22-1-1-12-1-1-12111-2111111-2-2-1-1-122111-2-1-1-12-2000i3−i3i3−i3−i3i300-11-11-112-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-2200111-20-1-1-12−i3i3−i3i3i3−i30000000000000
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χ604444-2-2-2-2-4-4-2-2-24-2-2-2-21114-2-2-2-2-2111111-21112-4222-422220000000000022-1-1-1-1-1-10000-333-3-333-3-333-300000000000000000000000000000000
χ61444-24-2-24-4-4444-24-2-2-24-2-2-24-2-2-2-244-2-2-2-2-24-2-2-42-4222-422-40000000000022-4-42222000000000000000000000000000000000000000000000000
χ62444-24-2-2-244-2-2-2-24-2-21-211-24-2-211-2-211111-211-2-24-2-2-24-2-2-24-2-2-2-244-2-2-2-211-2-211111111-2-2-2-21111111100000000000000000000000000000000
χ63444-24-2-2-244-2-2-2-24-2-21-211-24-2-211-2-211111-211-2-24-2-2-24-2-2-2-42222-4-4222211-2-21111-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ64444-24-2-2-2-4-4-2-2-2-24-2-21-211-24-2-211-2-211111-21122-4222-422200000000000-1-122-1-1-1-13-3-3300003-3-33-333-300000000000000000000000000000000
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χ66444-2-24-24-4-4444-2-24-2-2-24-2-2-24-2-2-2-2-244-2-2-2-24-2-422-4222-42-4000000000002222-4-422000000000000000000000000000000000000000000000000
χ67444-2-24-2-244-2-2-2-2-24-211-21-2-24-21111-2-21111-21-2-2-24-2-2-24-2-24-2-2-2-2-2-244-2-21111-2-21111111111-2-2-2-2111100000000000000000000000000000000
χ68444-2-24-2-244-2-2-2-2-24-211-21-2-24-21111-2-21111-21-2-2-24-2-2-24-2-2-4222222-4-4221111-2-211-1-1-1-1-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ69444-2-24-2-2-4-4-2-2-2-2-24-211-21-2-24-21111-2-21111-21222-4222-42200000000000-1-1-1-122-1-13-3-33-333-300003-3-3300000000000000000000000000000000
χ70444-2-24-2-2-4-4-2-2-2-2-24-211-21-2-24-21111-2-21111-21222-4222-42200000000000-1-1-1-122-1-1-333-33-3-330000-333-300000000000000000000000000000000
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χ1068-80-48-4-480000-84-844-48-4-40000000000004-84400000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1088-80-48-4-4-4004i3−4i344-8442-4220000−2i32i34i3−4i3−2i32i3−2i32i3-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1148-80-4-4-48-4004i3−4i34444-8222-40000−2i32i3−2i32i3−2i32i34i3−4i3-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000

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