Finite Group Databasebeta

← Group #11889414

Character table — Group #11889414

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222224444444444444448888888881212121212121212121212121212161616161616161624242424242424242424242424363636363636484872
order1222223344666666346666666121212121212446612121212124488882424242424242424121212121212121244488121212122424242424444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-1-11
χ61111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111-1-1111-1
χ71111111111111111111111111111111-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-1-1
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-111-1111
χ91111-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11-11-111-1-11-1-11-111-1-111-1-11-1-1-1-111-11
χ101111-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111-11-111-1-1-1-111-111-1-111-1-1-11111-1-11-1
χ111111-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-11-1-111-1-111-11111-11-1-1
χ121111-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-11-111-1-1-111-11-1-111-1-1111-1-1-1-11-111
χ131111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-111-1-11111-1-11111-1-1-1-1-11-11-1-111-1-11-1111-1-1-1-111-111-1-1-1-111
χ141111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-111-1-111-1-111-1-1-1-11111-11-11-1-1111-1-1-1111-1-1-1-1111-1-11111-1-1
χ151111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1111-1-1-11111-1-11-1-1111-11-1
χ161111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11111-11-1-1-11111-1-1-111-1-1-11-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-20022-2-2-2-2-2000000000000000000000000000000000002-2200-2000
χ1822222222-2-22222222-22222222-2-2-2-2-2-20022-2-2-2-2-200000000000000000000000000000000000-22-2002000
χ192222222-1222-1-122-1-1222-1-1-1-1-1222-1-1222-1-1-1-1-1-1-122000000000000-1-122-1-1-1-102022-1-1-1-1-1-1-1-1000000000
χ202222222-1222-1-122-1-1222-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-2-2000000000000-1-122-1-1-1-10-20-2-211111111000000000
χ212222222-1222-1-122-1-1222-1-1-1-1-1222-1-12-2-2-1-1-1-1-1-1-12200000000000011-2-21111020-2-2-1-1-1-11111000000000
χ222222222-1222-1-122-1-1222-1-1-1-1-1222-1-12-2-2-1-1-1-1-1-1-1-2-200000000000011-2-211110-20221111-1-1-1-1000000000
χ23222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-122-1-12-1-1-1-1002222-1-1-1-1-1-1-1-122-1-1-1-1-1-12020000000000000000-1-10
χ24222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-122-1-12-1-1-1-100-2-2-2-21111111122-1-1-1-1-1-1-20-20000000000000000110
χ25222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-1-2-2-1-12-1-1-1-1002222-1-1-1-1-1-1-1-1-2-2111111-20-20000000000000000110
χ26222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-1-2-2-1-12-1-1-1-100-2-2-2-211111111-2-21111112020000000000000000-1-10
χ272222-2-222-2-222222222-2-2-2-2222-222-2-2-200-2-22-2-2220000000000000000000000000000000000022-200-2000
χ282222-2-222-2-222222222-2-2-2-2222-222-2-2-200-2-22-2-22200000000000000000000000000000000000-2-22002000
χ292222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-122-2111-1-11122000000000000-112-2-1-1110-202-2-1-111-1-111000000000
χ302222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-122-2111-1-111-2-2000000000000-112-2-1-111020-2211-1-111-1-1000000000
χ312222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-12-22111-1-111220000000000001-1-2211-1-10-20-22-1-11111-1-1000000000
χ322222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-12-22111-1-111-2-20000000000001-1-2211-1-10202-211-1-1-1-111000000000
χ332222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-12-211-2-1-1110022-2-2-1-1-1-111112-2-11-1-11120-20000000000000000-110
χ342222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-12-211-2-1-11100-2-2221111-1-1-1-12-2-11-1-111-20200000000000000001-10
χ352222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-1-2211-2-1-1110022-2-2-1-1-1-11111-221-111-1-1-20200000000000000001-10
χ362222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-1-2211-2-1-11100-2-2221111-1-1-1-1-221-111-1-120-20000000000000000-110
χ372-2-2200222-2-2-22-22-2200000-2-222002-2-2000002-2002i−2i002i−2i00002i2i−2i−2i00000000000002i−2i0000000002-20000
χ382-2-2200222-2-2-22-22-2200000-2-222002-2-2000002-2002i−2i00−2i2i0000−2i−2i2i2i00000000000002i−2i000000000-220000
χ392-2-2200222-2-2-22-22-2200000-2-222002-2-2000002-200−2i2i002i−2i00002i2i−2i−2i0000000000000−2i2i000000000-220000
χ402-2-2200222-2-2-22-22-2200000-2-222002-2-2000002-200−2i2i00−2i2i0000−2i−2i2i2i0000000000000−2i2i0000000002-20000
χ414444444-2-4-44-2-244-2-2-444-2-2-2-2-2-4-4-422-400-2-22222200000000000000000000000000000000000000000000
χ42444444-24-4-4-244-2-24-2-4-2-244-2-2-2222-4-4200-2-2-4222200000000000000000000000000000000000000000000
χ43444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-24411-2111100000000000000-2-2-2-211110000000000000000000000
χ44444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2-4-411-21111000000000000002222-1-1-1-10000000000000000000000
χ45444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200112-1-1-1-10000000000000000003-33-30000000000000000000000
χ46444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200112-1-1-1-1000000000000000000-33-330000000000000000000000
χ474444-4-44-2-4-44-2-244-2-24-4-422-2-2-2-44422-40022-222-2-200000000000000000000000000000000000000000000
χ484444-4-4-24-4-4-244-2-24-2422-4-4-2-2-22-2-2-4-420022422-2-200000000000000000000000000000000000000000000
χ494444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-24-4-1-1211-1-100000000000000-22-2211-1-10000000000000000000000
χ504444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2-44-1-1211-1-1000000000000002-22-2-1-1110000000000000000000000
χ514444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200-1-1-2-1-1110000000000000000003-3-330000000000000000000000
χ524444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200-1-1-2-1-111000000000000000000-333-30000000000000000000000
χ5344-4-4004400-44-44-4-4400000-44-40000000000000000022−22002222−22−220000000000000000000000000000000000
χ5444-4-4004400-44-44-4-4400000-44-400000000000000000−222200−22−2222220000000000000000000000000000000000
χ5544-4-400-240024-4-22-4-2000002-22023−23000000000023−230022−2200−2−2226−66−6000000000000000000000000000000
χ5644-4-400-240024-4-22-4-2000002-22023−23000000000023−2300−22220022−2−2−66−66000000000000000000000000000000
χ5744-4-400-240024-4-22-4-2000002-220−23230000000000−23230022−2200−2−222−66−66000000000000000000000000000000
χ5844-4-400-240024-4-22-4-2000002-220−23230000000000−232300−22220022−2−26−66−6000000000000000000000000000000
χ594-44-44-444004-4-4-4-44404-44-44-4-4000000004-40000000000000000000000000000000000000000000000000
χ604-44-44-44-200422-4-4-2-204-4-22-22200000000-220000000000000000000000000000000000006−66−6000000000
χ614-44-44-44-200422-4-4-2-204-4-22-22200000000-22000000000000000000000000000000000000−66−66000000000
χ624-44-44-4-2400-2-4-4224-20-224-4-22200000000-2200000000000i6−i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ634-44-44-4-2400-2-4-4224-20-224-4-22200000000-2200000000000−i6i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ644-44-4-4444004-4-4-4-4440-44-444-4-400000000-440000000000000000000000000000000000000000000000000
χ654-44-4-444-200422-4-4-2-20-442-2-222000000002-20000000000000000000000000000000000006−6−66000000000
χ664-44-4-444-200422-4-4-2-20-442-2-222000000002-2000000000000000000000000000000000000−666−6000000000
χ674-44-4-44-2400-2-4-4224-202-2-44-222000000002-200000000000i6−i6i6−i6−i6i6i6−i6000000000000000000000000000000
χ684-44-4-44-2400-2-4-4224-202-2-44-222000000002-200000000000−i6i6−i6i6i6−i6−i6i6000000000000000000000000000000
χ694-4-440044-44-4-44-44-4400000-4-44-400-44400000-440000000000000000000000000000000000000000000000
χ704-4-44004-24-4-42-2-442-20000022-2400-22-400000-22004i−4i0000000000000000000000000−2i2i000000000000000
χ714-4-44004-24-4-42-2-442-20000022-2400-22-400000-2200−4i4i00000000000000000000000002i−2i000000000000000
χ724-4-44004-2-44-42-2-442-20000022-2-4002-24000002-2000000000000000000000000000000023−230000000000000
χ734-4-44004-2-44-42-2-442-20000022-2-4002-24000002-20000000000000000000000000000000−23230000000000000
χ744-4-4400-244-42-442-2-4-20000022-2-2004-4200000-220000004i−4i0000−2i−2i2i2i000000000000000000000000000000
χ754-4-4400-244-42-442-2-4-20000022-2-2004-4200000-22000000−4i4i00002i2i−2i−2i000000000000000000000000000000
χ764-4-4400-24-442-442-2-4-20000022-2200-44-2000002-200000000−2i32i32i3−2i30000000000000000000000000000000000
χ774-4-4400-24-442-442-2-4-20000022-2200-44-2000002-2000000002i3−2i3−2i32i30000000000000000000000000000000000
χ7888-8-8008-400-8-448-84-4000004-4400000000000000000000000000000000000000000000000000000000000
χ7988-8-800-4-4004-44-444200000-22-2043−430000000000−232300000000000000000000000000000000000000000000
χ8088-8-800-4-4004-44-444200000-22-20−4343000000000023−2300000000000000000000000000000000000000000000
χ818-88-88-8-4-400-44444-420-44-442-2-2000000002-20000000000000000000000000000000000000000000000000
χ828-88-8-88-4-400-44444-4204-44-42-2-200000000-220000000000000000000000000000000000000000000000000
χ838-8-8800-4-48-844-44-44200000-2-22-400-444000002-20000000000000000000000000000000000000000000000
χ848-8-8800-4-4-8844-44-44200000-2-224004-4-400000-220000000000000000000000000000000000000000000000

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