Finite Group Databasebeta

← Group #13168274

Character table — Group #13168274

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order122233344666666666333666666666121212121212366612121212121212121212222244444412121212121212124444444444666612121212121212121212121212121212121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
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
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-1-1-1-1-1-111111111-11-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-111-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-11111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-111-1-11111-1-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ17222222-122-122-1-122222-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-12200000000-1-1-1-122220000-1-1-1-1-1-1-1-10000-1-10000000000
χ18222222-122-122-1-122222-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-200111111112200000000-1-1-1-1-2-2-2-20000111111110000-1-10000000000
χ19222222-122-122-1-122222-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-2-200-1-1-1-11111-2-200000000111122-2-20000-1-1-1-111110000110000000000
χ20222222-122-122-1-122222-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-222001111-1-1-1-1-2-2000000001111-2-22200001111-1-1-1-10000110000000000
χ21222222-1-2-2-122-1-122222-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-21111111122222-22-200-1-111-1-111-2-200000000-1-1-1-12-22-20000-1-111-1-1110000110000000000
χ22222222-1-2-2-122-1-122222-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-2111111112222-22-220011-1-111-1-1-2-200000000-1-1-1-1-22-22000011-1-111-1-10000110000000000
χ23222222-1-2-2-122-1-122222-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-211111111-2-2-2-22-2-2200-1-11111-1-1220000000011112-2-220000-1-11111-1-10000-1-10000000000
χ24222222-1-2-2-122-1-122222-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-211111111-2-2-2-2-222-20011-1-1-1-11122000000001111-222-2000011-1-1-1-1110000-1-10000000000
χ2522222-122222-12222-1-1-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002222000022220000220022000000-1-12-12-10000-1-1-1-1-1-1-1-1000000-1-1-1-100
χ2622222-122222-12222-1-1-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022-2-2000022220000-2-200-2-2000000-1-1-21-210000-1-1-1-11111000000111100
χ2722222-122222-12222-1-1-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-2220000-2-2-2-20000-2-200-2-2000000112-12-100001111-1-1-1-1000000111100
χ2822222-122222-12222-1-1-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-2-2-20000-2-2-2-2000022002200000011-21-21000011111111000000-1-1-1-100
χ2922222-12-2-222-12222-1-1-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-21111110000002-22-2000022-2-200002200-2-2000000-112-1-210000-1-111-1-111000000-1-11100
χ3022222-12-2-222-12222-1-1-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-21111110000002-2-22000022-2-20000-2-20022000000-11-212-10000-1-11111-1-100000011-1-100
χ3122222-12-2-222-12222-1-1-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111000000-222-20000-2-2220000-2-200220000001-12-1-21000011-1-1-1-11100000011-1-100
χ3222222-12-2-222-12222-1-1-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111000000-22-220000-2-22200002200-2-20000001-1-212-1000011-1-111-1-1000000-1-11100
χ332222-122222-1222-1-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100002200222222000000220022000000-1-100-12-12-1-1-1-10000-1-1-1-100-1-1-1-1000000
χ342222-122222-1222-1-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-100002200-2-22222000000-2-200-2-2000000-1-1001-21-2-1-1-1-100001111001111000000
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χ372222-122-2-22-1222-1-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-2002-222-2-20000002200-2-2000000-1100-121-2-1-1110000-1-11100-1-111000000
χ382222-122-2-22-1222-1-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-2111100002-200-2222-2-2000000-2-20022000000-11001-2-12-1-111000011-1-10011-1-1000000
χ392222-122-2-22-1222-1-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-211110000-22002-2-2-222000000-2-200220000001-100-121-211-1-10000-1-1110011-1-1000000
χ402222-122-2-22-1222-1-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-211110000-2200-22-2-2220000002200-2-20000001-1001-2-1211-1-1000011-1-100-1-111000000
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χ904-44-444-2002-4-42-24-44-44-2-2422-422-4-2-2000000-2-2220000000000-44-440000000000000000000000002-22-200000000000000000000000000000000
χ914-44-44-2400-4-42-444-4-22-24-2-2-422-4224-2000000-2-2220000000000000000000000000000000000004i−4i00000000000000000000000000000000−2i2i00
χ924-44-44-2400-4-42-444-4-22-24-2-2-422-4224-2000000-2-222000000000000000000000000000000000000−4i4i000000000000000000000000000000002i−2i00
χ934-44-4-24400-42-4-44-224-4-2-24-22-422-42-24000000-2-22200000000000000000000000000000000004i−4i000000000000000000000000000000−2i2i000000
χ944-44-4-24400-42-4-44-224-4-2-24-22-422-42-24000000-2-2220000000000000000000000000000000000−4i4i0000000000000000000000000000002i−2i000000
χ954-4-4444-200-2-4-422-44-444-2-2-4-2-2-422422000000-22-2200000000004-4-44000000000000000000000000-222-200000000000000000000000000000000
χ964-4-4444-200-2-4-422-44-444-2-2-4-2-2-422422000000-22-220000000000-444-40000000000000000000000002-2-2200000000000000000000000000000000
χ974-4-444-24004-42-4-4-442-2-24-224-22-42-2-42000000-22-22000000000000000000000000000000004i−4i0000000000000000000000000000000000−2i2i0000
χ984-4-444-24004-42-4-4-442-2-24-224-22-42-2-42000000-22-2200000000000000000000000000000000−4i4i00000000000000000000000000000000002i−2i0000
χ994-4-44-2440042-4-4-42-2-44-2-242-2422-4-22-4000000-22-220000000000000000000000000000004i−4i00000000000000000000000000000000−2i2i00000000
χ1004-4-44-2440042-4-4-42-2-44-2-242-2422-4-22-4000000-22-22000000000000000000000000000000−4i4i000000000000000000000000000000002i−2i00000000
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
χ10388-8-8-4-4-48-84-4-4-444444222-2-2-2222-2-2-2-44-44-44-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-884-4-4-444444222-2-2-2222-2-2-24-44-44-4-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-4004-844-48-8-44-4-42-44-244-24-4200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-40044-84-4-448-8-42-4-4-244-2442-400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4800-844-88-44-442-4-4244-244-2-4-400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4004444-4-44-442222-2-2-2-2-2-222000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4004444-4-44-442222-2-2-2-2-2-222000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-400-4-8444-884-4-4-424-4244-2-44-20000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-400-44-8444-4-88-42-442-44-24-4-240000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4800844-8-84-44-42-4-4-2-4-4-2442440000002-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-400-444444-44-4222-222-2-2-22-2-2000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-400-444444-44-4222-222-2-2-22-2-2000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000000000000

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