Finite Group Databasebeta

← Group #13161054

Character table — Group #13161054

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11222222222222222444444444444444444444444444444888888888888888888888888888888888881212181824242424242424242424242424242424243636363636727272108108216
order122333334466666663333666666666666666612121212121212121212266666666666666666666666666121212121212121224886666812121212242424242424242482424242441212888
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
χ511111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-111111-1-1-111-1
χ611111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-1-11111111111111-1-1-1-1-11
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-111111-1
χ922222222-2-2222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000002i−2i0
χ1022222222-2-2222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000−2i2i0
χ1122222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122002-1-1-122-1-1-122-1-1-1-1-1-100000000000
χ1222222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2111-2-2111-2-211111100000000000
χ1322222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1-1-122002-1-1-1-22-1-1-1-2-211111100000000000
χ1422222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1-2-200-21112-211122-1-1-1-1-1-100000000000
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χ162222-12-1-12222-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2001-211-21-21111-2-2111100000000000
χ172222-12-1-12222-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-12200-12-1-1-2-12-1-111-2-2111100000000000
χ182222-12-1-12222-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-2-2-211-2-211111111-2-2-2-211111111-1-122-1-1-1-1-2-2001-21121-211-1-122-1-1-1-100000000000
χ192222-1-12-12222-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-12200-1-12-12-1-12-1-1-1-1-122-1-100000000000
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χ222222-1-12-12222-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-2-2-21111-2-21111111111-2-2-2-21111-1-1-1-122-1-1-2-20011-21211-21-1-1-1-122-1-100000000000
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χ242222-1-1-122222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-200111-2-2111-2111111-2-200000000000
χ252222-1-1-122222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-1222200-1-1-12-2-1-1-12111111-2-200000000000
χ262222-1-1-122222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-122-2-200111-22111-2-1-1-1-1-1-12200000000000
χ27222-1222222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-12222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000000000000002-1-1-1-12-1-1000
χ28222-1222222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-12222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000000000-21111-211000
χ29222-1222222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10022000000000000000002-1-1-1-1-211000
χ30222-1222222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-211-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-200000000000000000-211112-1-1000
χ3122-2222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-22-20022220-2-2-2-20000000000000000000
χ3222-2222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-2-2200-2-2-2-2022220000000000000000000
χ3322-222222-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-22002200000000000000000-222-2-2000000
χ3422-222222-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-2200-2-2000000000000000002-2-222000000
χ3522-222-1-1-12-2-2-22-1-1-122-1-1-1-2111-2-21111112-1-1-1-211122-1-1-1-200000−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2-11-11-112-2002-1-1-10-211100−i3i3−i3i3−i3i300000000000
χ3622-222-1-1-12-2-2-22-1-1-122-1-1-1-2111-2-21111112-1-1-1-211122-1-1-1-200000−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2-11-11-11-2200-211102-1-1-100i3−i3i3−i3i3−i300000000000
χ3722-222-1-1-12-2-2-22-1-1-122-1-1-1-2111-2-21111112-1-1-1-211122-1-1-1-200000i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2-11-11-112-2002-1-1-10-211100i3−i3i3−i3i3−i300000000000
χ3822-222-1-1-12-2-2-22-1-1-122-1-1-1-2111-2-21111112-1-1-1-211122-1-1-1-200000i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2-11-11-11-2200-211102-1-1-100−i3i3−i3i3−i3i300000000000
χ3922-22-12-1-12-2-2-2-12-1-12-12-1-11-21111-2-21111-12-1-11-2112-12-1-1-2000−i3i300−i3i3i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-112-2-11-112-200-12-1-101-211−i3i300−i3i3i3−i300000000000
χ4022-22-12-1-12-2-2-2-12-1-12-12-1-11-21111-2-21111-12-1-11-2112-12-1-1-2000−i3i300−i3i3i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-112-2-11-11-22001-2110-12-1-1i3−i300i3−i3−i3i300000000000
χ4122-22-12-1-12-2-2-2-12-1-12-12-1-11-21111-2-21111-12-1-11-2112-12-1-1-2000i3−i300i3−i3−i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-112-2-11-112-200-12-1-101-211i3−i300i3−i3−i3i300000000000
χ4222-22-12-1-12-2-2-2-12-1-12-12-1-11-21111-2-21111-12-1-11-2112-12-1-1-2000i3−i300i3−i3−i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-112-2-11-11-22001-2110-12-1-1−i3i300−i3i3i3−i300000000000
χ4322-22-1-12-12-2-2-2-1-12-12-1-12-111-211111-2-211-1-12-111-212-1-12-1-2000−i3i3i3−i300−i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-11-112-2-112-200-1-12-1011-21−i3i3i3−i300−i3i300000000000
χ4422-22-1-12-12-2-2-2-1-12-12-1-12-111-211111-2-211-1-12-111-212-1-12-1-2000−i3i3i3−i300−i3i3−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-11-112-2-11-220011-210-1-12-1i3−i3−i3i300i3−i300000000000
χ4522-22-1-12-12-2-2-2-1-12-12-1-12-111-211111-2-211-1-12-111-212-1-12-1-2000i3−i3−i3i300i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-11-112-2-112-200-1-12-1011-21i3−i3−i3i300i3−i300000000000
χ4622-22-1-12-12-2-2-2-1-12-12-1-12-111-211111-2-211-1-12-111-212-1-12-1-2000i3−i3−i3i300i3−i3i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-11-112-2-11-220011-210-1-12-1−i3i3i3−i300−i3i300000000000
χ4722-22-1-1-122-2-2-2-1-1-122-1-1-12111-2111111-2-2-1-1-12111-22-1-1-12-2000−i3i3−i3i3i3−i300−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-11-11-112-22-200-1-1-120111-2−i3i3−i3i3i3−i30000000000000
χ4822-22-1-1-122-2-2-2-1-1-122-1-1-12111-2111111-2-2-1-1-12111-22-1-1-12-2000−i3i3−i3i3i3−i300−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-11-11-112-2-2200111-20-1-1-12i3−i3i3−i3−i3i30000000000000
χ4922-22-1-1-122-2-2-2-1-1-122-1-1-12111-2111111-2-2-1-1-12111-22-1-1-12-2000i3−i3i3−i3−i3i300i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-11-11-112-22-200-1-1-120111-2i3−i3i3−i3−i3i30000000000000
χ5022-22-1-1-122-2-2-2-1-1-122-1-1-12111-2111111-2-2-1-1-12111-22-1-1-12-2000i3−i3i3−i3−i3i300i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-11-11-112-2-2200111-20-1-1-12−i3i3−i3i3i3−i30000000000000
χ5122-2-12222-22112222-1-1-1-1-1-2-2-2-211111111-1-1-1-122221-2-2-2-2-10−i3i300000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-11-11-11-1002200000000000000000-2-1-1110−i3i3000
χ5222-2-12222-22112222-1-1-1-1-1-2-2-2-211111111-1-1-1-122221-2-2-2-2-10−i3i300000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i31-11-11-11-100-2-200000000000000000211-1-10i3−i3000
χ5322-2-12222-22112222-1-1-1-1-1-2-2-2-211111111-1-1-1-122221-2-2-2-2-10i3−i300000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-11-1002200000000000000000-2-1-1110i3−i3000
χ5422-2-12222-22112222-1-1-1-1-1-2-2-2-211111111-1-1-1-122221-2-2-2-2-10i3−i300000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i31-11-11-11-100-2-200000000000000000211-1-10−i3i3000
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χ59444-24444-4-4-2-24444-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-42-4-4-4-420000000000000000000000000002222222200000000000000000000000000000000
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χ61444-24-2-2-244-2-24-2-2-2-2-21114-2-2-2-2-2111111-21114-2-2-2-24-2-2-2-2-422-4-42222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111100000000000000000000000000000000
χ62444-24-2-2-2-4-4-2-24-2-2-2-2-21114-2-2-2-2-2111111-2111-42222-422220000000000000003-3-333-3-333-3-3322-1-1-1-1-1-100000000000000000000000000000000
χ63444-24-2-2-2-4-4-2-24-2-2-2-2-21114-2-2-2-2-2111111-2111-42222-42222000000000000000-333-3-333-3-333-322-1-1-1-1-1-100000000000000000000000000000000
χ64444-2-24-2-244-2-2-24-2-2-21-211-24-2-211-2-211111-211-24-2-2-2-24-2-2-24-2-2-2-244-2-2-2-21111-2-2-2-21111111111-2-2111100000000000000000000000000000000
χ65444-2-24-2-244-2-2-24-2-2-21-211-24-2-211-2-211111-211-24-2-2-2-24-2-2-2-42222-4-42222-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111100000000000000000000000000000000
χ66444-2-24-2-2-4-4-2-2-24-2-2-21-211-24-2-211-2-211111-2112-42222-4222000000000003-3-3300003-3-33-333-3-1-122-1-1-1-100000000000000000000000000000000
χ67444-2-24-2-2-4-4-2-2-24-2-2-21-211-24-2-211-2-211111-2112-42222-422200000000000-333-30000-333-33-3-33-1-122-1-1-1-100000000000000000000000000000000
χ68444-2-2-24-244-2-2-2-24-2-211-21-2-24-21111-2-21111-21-2-24-2-2-2-24-2-24-2-2-2-2-2-244-2-211111111-2-2-2-211111111-2-21100000000000000000000000000000000
χ69444-2-2-24-244-2-2-2-24-2-211-21-2-24-21111-2-21111-21-2-24-2-2-2-24-2-2-4222222-4-422-1-1-1-1-1-1-1-12222-1-1-1-11111-2-21100000000000000000000000000000000
χ70444-2-2-24-2-4-4-2-2-2-24-2-211-21-2-24-21111-2-21111-2122-42222-422000000000003-3-33-333-300003-3-33-1-1-1-122-1-100000000000000000000000000000000
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χ73444-2-2-2-2444-2-2-2-2-24-2111-2-2-2-24111111-2-2111-2-2-2-24-2-2-2-24-2-422222222-4-4-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-200000000000000000000000000000000
χ74444-2-2-2-24-4-4-2-2-2-2-24-2111-2-2-2-24111111-2-2111-2222-42222-42000000000003-3-333-3-33-333-30000-1-1-1-1-1-12200000000000000000000000000000000
χ75444-2-2-2-24-4-4-2-2-2-2-24-2111-2-2-2-24111111-2-2111-2222-42222-4200000000000-333-3-333-33-3-330000-1-1-1-1-1-12200000000000000000000000000000000
χ7644-444-2-2-2-44-4-44-2-2-244-2-2-2-4222-4-42222224-2-2-24-2-2-2-4-42224000000000000000000000000000-442-22-22-200000000000000000000000000000000
χ7744-44-24-2-2-44-4-4-24-2-24-24-2-22-42222-4-42222-24-2-2-24-2-2-42-42240000000000000000000000000002-2-442-22-200000000000000000000000000000000
χ7844-44-2-24-2-44-4-4-2-24-24-2-24-222-422222-4-422-2-24-2-2-24-2-422-4240000000000000000000000000002-22-2-442-200000000000000000000000000000000
χ7944-44-2-2-24-44-4-4-2-2-244-2-2-24222-4222222-4-4-2-2-24-2-2-24-4222-440000000000000000000000000002-22-22-2-4400000000000000000000000000000000
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χ974-40444440000-4-4-4-4-44444000000000000-4-4-4-400000000000000000000000000000000000000000000000−2i22i2000000000000000000−2i22i200000000
χ984-40444440000-4-4-4-4-44444000000000000-4-4-4-4000000000000000000000000000000000000000000000002i2−2i20000000000000000002i2−2i200000000
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χ1024-40-24444002i3−2i3-4-4-4-42-2-2-2-200002i3−2i32i3−2i32i3−2i32i3−2i32222000000000000000000000000000000000000000000000002i2−2i2000000000000000000−i2i26−6000000
χ1038-8088-4-4-40000-8444-88-4-4-4000000000000-844400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-808-48-4-400004-844-8-48-4-40000000000004-84400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-808-4-48-4000044-84-8-4-48-400000000000044-8400000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1088-80-48-4-4-4004i3−4i3-84444-422200004i3−4i3−2i32i3−2i32i3−2i32i34-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-80-4-48-4-400−4i34i34-84442-42200002i3−2i3−4i34i32i3−2i32i3−2i3-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1118-80-4-4-48-400−4i34i344-84422-4200002i3−2i32i3−2i3−4i34i32i3−2i3-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-80-4-4-48-4004i3−4i344-84422-420000−2i32i3−2i32i34i3−4i3−2i32i3-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-80-4-4-4-4800−4i34i3444-84222-400002i3−2i32i3−2i32i3−2i3−4i34i3-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-80-4-4-4-48004i3−4i3444-84222-40000−2i32i3−2i32i3−2i32i34i3−4i3-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000

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