Finite Group Databasebeta

← Group #13169441

Character table — Group #13169441

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12223334466666666633366666666612121212121236661212121212121212121244444444441212121212121212224444444412121212121212121212121212121212121212121212121266121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-11111-1-1-1-1-1-111111-11-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-111-1-111-1-1-1-1-1-1-1-111111111-111-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-11-1-111-1-111-1-1-1-1-1-1111111111-1-11-111-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-1111111-1-1-1-1-1-11111-11-11-11-11-1-111-1-111-1-1111111-1-1-1-1-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-11-1-111-11-111-1-111-1-1-1-111-1-1111111-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-11111-1-111-1-11111-1-1-1-1-1-1-11-111-1-1111-1-1-1-111-1-11111-1-111-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-11111-1-11111-1-1-1-1-1-11-11-1-111-1-1-11111-1-111-1-111-1-111-1-111-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-11-11-1-111-1-11111-1-1-1-1111111-1-11-1
χ17222222-122-12-12222-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100000022222222000022000000220000-1-1-1-100220000-1-1-1-1-1-1-1-1-1-10000-1-10000
χ18222222-122-12-12222-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100000022-2-2-2-2-2-20000-2-2000000-2-20000-1-11100220000-1-1-1-11111110000110000
χ19222222-122-12-12222-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-22222220000-2-2000000-2-2000011-1-100-2-200001111-1-1-1-1110000110000
χ20222222-122-12-12222-122-1-12-1-1-12-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2000022000000220000111100-2-2000011111111-1-10000-1-10000
χ21222222-1-2-2-12-12222-122-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000002-22-222-2-2000022000000-2-20000-11-11002-20000-1-111-1-111-1-10000110000
χ22222222-1-2-2-12-12222-122-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000002-2-22-2-2220000-2-2000000220000-111-1002-20000-1-11111-1-1110000-1-10000
χ23222222-1-2-2-12-12222-122-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-211111111000000-222-222-2-20000-2-20000002200001-1-1100-22000011-1-1-1-111110000-1-10000
χ24222222-1-2-2-12-12222-122-1-12-1-1-12-12-1-1-2-2-2-211-1-1-1-1-2-211111111000000-22-22-2-222000022000000-2-200001-11-100-22000011-1-111-1-1-1-10000110000
χ2522222-1222222-12-1-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222220022-1-1-1-1-1-1-1-10000220000-1-1-1-100222200-1-1-1-10000-1-1-1-10000-1-1000000
χ2622222-1222222-12-1-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-2-200-2-2111111110000220000-1-1-1-100-2-2-2-2001111000011110000-1-1000000
χ2722222-1222222-12-1-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22200-2-21111-1-1-1-10000-2-20000111100-2-22200-1-1-1-100001111000011000000
χ2822222-1222222-12-1-122-12-1-12-1-1-12-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-20022-1-1-1-111110000-2-2000011110022-2-20011110000-1-1-1-1000011000000
χ2922222-12-2-2222-12-1-122-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-211111122222-2002-2-1-111-1-1110000-2-20000-1-1-1-1002-22-200-1-1110000-1-111000011000000
χ3022222-12-2-2222-12-1-122-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-21111112222-2200-2211-1-111-1-10000-2-20000-1-1-1-100-22-220011-1-1000011-1-1000011000000
χ3122222-12-2-2222-12-1-122-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-2111111-2-2-2-22-200-2211-1-1-1-1110000220000111100-222-200-1-111000011-1-10000-1-1000000
χ3222222-12-2-2222-12-1-122-12-1-12-1-1-12-12-1-2-211-2-2-1-1-1-111-2-2111111-2-2-2-2-22002-2-1-11111-1-100002200001111002-2-220011-1-10000-1-1110000-1-1000000
χ332222-122222-122-1222-1-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000022220000002222002200220000002200-1-1-1-1-1-1-1-1-1-1-1-1000000-1-10000-1-100
χ342222-122222-122-1222-1-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000022-2-2000000222200-2-200-2-2000000-2-200-1-111-1-1-1-111110000001100001100
χ352222-122222-122-1222-1-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000-2-222000000-2-2-2-200-2-200-2-2000000220011-1-11111-1-1-1-10000001100001100
χ362222-122222-122-1222-1-1-12-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000-2-2-2-200220022000000-2-200111111111111000000-1-10000-1-100
χ372222-122-2-22-122-1222-1-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-22-200000022-2-2002200-2-20000002-200-11-11-1-111-1-111000000-1-100001100
χ382222-122-2-22-122-1222-1-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-2-2200000022-2-200-2-20022000000-2200-111-1-1-11111-1-1000000110000-1-100
χ392222-122-2-22-122-1222-1-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000-222-2000000-2-22200-2-200220000002-2001-1-1111-1-1-1-111000000110000-1-100
χ402222-122-2-22-122-1222-1-1-12-1-122-1-1-1-1211-2-2-2-2-1-1-1-11111-2-211110000-22-22000000-2-222002200-2-2000000-22001-11-111-1-111-1-1000000-1-100001100
χ4122-2-2222002-2-2-222-2-2-2222222-2-2-2-2-2-200000022-2-2000000000022-2-2000000000000002-22-200000022-2-2000000000000000000002-22-200000000
χ4222-2-2222002-2-2-222-2-2-2222222-2-2-2-2-2-200000022-2-2000000000022-2-200000000000000-22-2200000022-2-200000000000000000000-22-2200000000
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χ482-22-222200-2-22-2-2-22-22222-2-2-22-2-222-20000002-22-20000000000−2i2i−2i2i00000000000000000000-222i−2i−2i2i−2i2i000000000000000000000000002i−2i-2200
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χ512-2-22222-22-22-22-2-2-22-2222-2-2-2-222-2-22-22-22-222-2-22-22-22-22-2-2222i−2i−2i2i000000000000000000−2i2i00002i−2i−2i2i000000000000000000000000−2i2i000000
χ522-2-22222-22-22-22-2-2-22-2222-2-2-2-222-2-22-22-22-222-2-22-22-22-22-2-222−2i2i2i−2i0000000000000000002i−2i0000−2i2i2i−2i0000000000000000000000002i−2i000000
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χ904-4-444-2-2-44242-2-422-2-4-2-2122-1-1-2-2221-442-22-21-1-112-22-2-11-1-11100000000002i3−2i3−2i32i30000000000000000000000000000000000−i3i3i3−i3000000000000
χ914-4-44-2444-4-4-2-442-4-442-2-2422-4-4-2-2224-224-44-4-222-2-22-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-244-44-4-2-442-4-442-2-2422-4-4-2-22242-2-44-44-222-22-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-24-24-42-2242-4-4-22-21-22-122-212-1-2-224-4-221-1-11-221-1-2211-1-1000000000000000000000000000000000000000000003i−3i3i−3i0000000000000000
χ944-4-44-24-24-42-2242-4-4-22-21-22-122-212-1-2-224-4-221-1-11-221-1-2211-1-100000000000000000000000000000000000000000000−3i3i−3i3i0000000000000000
χ954-4-44-24-2-442-2242-4-4-22-21-22-122-212-1-22-2-442-21-1-112-2-112-2-1-111000000000000000000000000000000000000000000003i−3i−3i3i0000000000000000
χ964-4-44-24-2-442-2242-4-4-22-21-22-122-212-1-22-2-442-21-1-112-2-112-2-1-11100000000000000000000000000000000000000000000−3i3i3i−3i0000000000000000
χ974-4-44-2-244-4-4-2-4-2222421-2-2-12221-2-12-2-22-224-41-1-111-1-22-2211-1-10000000000000023−2323−230000000000000000000000−33−3300000000000000000000
χ984-4-44-2-244-4-4-2-4-2222421-2-2-12221-2-12-2-22-224-41-1-111-1-22-2211-1-100000000000000−2323−232300000000000000000000003−33−300000000000000000000
χ994-4-44-2-24-44-4-2-4-2222421-2-2-12221-2-12-22-22-2-441-1-11-112-22-2-1-1110000000000000023−23−23230000000000000000000000−333−300000000000000000000
χ1004-4-44-2-24-44-4-2-4-2222421-2-2-12221-2-12-22-22-2-441-1-11-112-22-2-1-11100000000000000−232323−2300000000000000000000003−3−3300000000000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-400-4-8448-444-8-4-42-4-42-24444-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-444-8-48-844-42-4-42-444-24-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-480084-84-4-44-842-4-42-4-44-24-24400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-4444-4-4444222222-2-2-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-4444-4-4444222222-2-2-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4004-8-44-84-448-4-4244-2244-4-4-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-40044-4-84-884-4-42-44-24-44-2-4240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-848444-4-8-42-4-4-244-4-242-440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-40044-4444-44-4222-2-2-22-2-222-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-40044-4444-44-4222-2-2-22-2-222-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-84-44-4444-44222-2-2-2-222-2-22-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-884-44-4444-44222-2-2-2-222-2-224-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

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