Finite Group Databasebeta

← Group #13161118

Character table — Group #13161118

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222224444444444444444444444444444444888888888888888888888888888888888881212242424242424242424242424242424242436367272727272108108108108
order122333334466666333366666666666666666121212121212121212122666666666666666666666666661212121212121212246666812121212242424242424242424681224242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1111-11-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111111111111-11-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-11-11111-1-1
χ922222222-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000002-200
χ1022222222-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000-2200
χ112222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000022-12-1-1-10000
χ122222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-21-21110000
χ132222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-1000000000000000000022-1-2-1110000
χ142222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-10000000000000000000-2-2121-1-10000
χ152222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-100000000000
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χ172222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1222-1-1-1-22-1-1-1-2-211111100000000000
χ182222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-2-2-21112-211122-1-1-1-1-1-100000000000
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χ20222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-12-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-21-211-21-21111-2-2111100000000000
χ21222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-211-2-21111-2-21111-2-2-2-211111111-1-122-1-1-1-122-12-1-1-2-12-1-111-2-2111100000000000
χ22222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-211-2-21111-2-21111-2-2-2-211111111-1-122-1-1-1-1-2-21-21121-211-1-122-1-1-1-100000000000
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χ24222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-12-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-2-211-21-211-211111-2-21100000000000
χ25222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-21111-2-211-2-211111111-2-2-2-21111-1-1-1-122-1-122-1-12-1-2-1-12-11111-2-21100000000000
χ26222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-21111-2-211-2-211111111-2-2-2-21111-1-1-1-122-1-1-2-211-21211-21-1-1-1-122-1-100000000000
χ27222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-122-1-1-12-1-1-1-1-1-12200000000000
χ28222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2111-2-2111-2111111-2-200000000000
χ29222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-12222-1-1-12-2-1-1-12111111-2-200000000000
χ30222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-2111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122-2-2111-22111-2-1-1-1-1-1-12200000000000
χ3122-2222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-22-222220-2-2-2-20000000000000000000
χ3222-2222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000000000000000000002-22-22-22-2-22-2-2-2-2022220000000000000000000
χ3322-222222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-2200000000000000000002-220-2000000
χ3422-222222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-22000000000000000000000000000-22-22-22-220000000000000000000-22-202000000
χ3522-22222-1-222222-1-1-1-1-1-2-2-2-2111111111-1-1-1-122221-2-2-2-2-1000000000i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31-11-11-11-100000000000000000002-2-101i3−i30000
χ3622-22222-1-222222-1-1-1-1-1-2-2-2-2111111111-1-1-1-122221-2-2-2-2-1000000000i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31-11-11-11-10000000000000000000-2210-1−i3i30000
χ3722-22222-1-222222-1-1-1-1-1-2-2-2-2111111111-1-1-1-122221-2-2-2-2-1000000000−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31-11-11-11-100000000000000000002-2-101−i3i30000
χ3822-22222-1-222222-1-1-1-1-1-2-2-2-2111111111-1-1-1-122221-2-2-2-2-1000000000−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31-11-11-11-10000000000000000000-2210-1i3−i30000
χ3922-22-1-1-122-22-1-1-122-1-1-1-2111-2-2-21111112-1-1-1-211122-1-1-1-2000i3−i3i3−i3i3−i3000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-11-11-112-22-1-1-10-211100i3−i3i3−i3i3−i300000000000
χ4022-22-1-1-122-22-1-1-122-1-1-1-2111-2-2-21111112-1-1-1-211122-1-1-1-2000i3−i3i3−i3i3−i3000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2-11-11-11-22-211102-1-1-100−i3i3−i3i3−i3i300000000000
χ4122-22-1-1-122-22-1-1-122-1-1-1-2111-2-2-21111112-1-1-1-211122-1-1-1-2000−i3i3−i3i3−i3i3000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-112-22-1-1-10-211100−i3i3−i3i3−i3i300000000000
χ4222-22-1-1-122-22-1-1-122-1-1-1-2111-2-2-21111112-1-1-1-211122-1-1-1-2000−i3i3−i3i3−i3i3000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2-11-11-11-22-211102-1-1-100i3−i3i3−i3i3−i300000000000
χ4322-2-12-1-122-2-12-1-12-12-1-11-211-211-2-21111-12-1-11-2112-12-1-1-20i3−i300i3−i3−i3i300i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-112-2-11-112-2-12-1-101-211i3−i300i3−i3−i3i300000000000
χ4422-2-12-1-122-2-12-1-12-12-1-11-211-211-2-21111-12-1-11-2112-12-1-1-20i3−i300i3−i3−i3i300i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3-112-2-11-11-221-2110-12-1-1−i3i300−i3i3i3−i300000000000
χ4522-2-12-1-122-2-12-1-12-12-1-11-211-211-2-21111-12-1-11-2112-12-1-1-20−i3i300−i3i3i3−i300−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-112-2-12-1-101-211−i3i300−i3i3i3−i300000000000
χ4622-2-12-1-122-2-12-1-12-12-1-11-211-211-2-21111-12-1-11-2112-12-1-1-20−i3i300−i3i3i3−i300−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3-112-2-11-11-221-2110-12-1-1i3−i300i3−i3−i3i300000000000
χ4722-2-1-12-122-2-1-12-12-1-12-111-21-21111-2-211-1-12-111-212-1-12-1-20i3−i3−i3i300i3−i300i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-11-112-2-112-2-1-12-1011-21i3−i3−i3i300i3−i300000000000
χ4822-2-1-12-122-2-1-12-12-1-12-111-21-21111-2-211-1-12-111-212-1-12-1-20i3−i3−i3i300i3−i300i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3-11-112-2-11-2211-210-1-12-1−i3i3i3−i300−i3i300000000000
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χ5122-2-1-1-1222-2-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-22-1-1-12-20i3−i3i3−i3−i3i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-11-11-112-22-2-1-1-120111-2i3−i3i3−i3−i3i30000000000000
χ5222-2-1-1-1222-2-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-22-1-1-12-20i3−i3i3−i3−i3i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000-11-11-112-2-22111-20-1-1-12−i3i3−i3i3i3−i30000000000000
χ5322-2-1-1-1222-2-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-22-1-1-12-20−i3i3−i3i3i3−i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-11-11-112-22-2-1-1-120111-2−i3i3−i3i3i3−i30000000000000
χ5422-2-1-1-1222-2-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-22-1-1-12-20−i3i3−i3i3i3−i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000-11-11-112-2-22111-20-1-1-12i3−i3i3−i3−i3i30000000000000
χ554444444-2-4-44444-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-42-4-4-4-4200000000000000000000000000022222222000000000000000000000000000000
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χ68444-2-24-2-244-2-24-2-211-21-2-24-2-21111-2-21111-21-2-24-2-2-2-24-2-2-42222-4-42222-1-1-1-1-1-1-1-12222-1-1-1-11111-2-211000000000000000000000000000000
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χ70444-2-24-2-2-4-4-2-24-2-211-21-2-24-2-21111-2-21111-2122-42222-42200000000000-333-33-3-330000-333-3-1-1-1-122-1-1000000000000000000000000000000
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χ974-404444400-4-4-4-4-444440000000000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000002-2
χ984-404444400-4-4-4-4-444440000000000000-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000-22
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χ1018-808-4-4-4-400-84444-422200000006-66-66-64-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-808-4-4-4-400-84444-42220000000-66-66-664-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1098-80-4-4-48800444-8-8-4-4-480000000000000444-8000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).