Finite Group Databasebeta

← Group #11775580

Character table — Group #11775580

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order122222334466666634666666612121212246612121212121288888888666612121212222244444412121212121212122424242424242424424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1
χ91111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-111-1-111i−ii−iii−i−iii−i−iii−i−iii−i−i-11-1
χ101111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1ii−i−i−i−iii1111-1-1-1-1-1-111-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iii1-11
χ111111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1−i−iiiii−i−i1111-1-1-1-1-1-111-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i1-11
χ121111-1-111-1-111111111-1-1111-1-1-1-1-1-11-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-111-1-111−ii−ii−i−iii−i−iii−i−iii−i−iii-11-1
χ131111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1ii−i−iii−i−i-1-1-1-1111111-1-111−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-11
χ141111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1ii−i−i−i−iii-1-1-1-11111-1-111-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii11-1
χ151111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1−i−iiiii−i−i-1-1-1-11111-1-111-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i11-1
χ161111-1-111-1-111111111-1-1111-1-1-1-1-1-1-11-1-11111-1-1−i−iii−i−iii-1-1-1-1111111-1-111i−ii−iii−i−iii−i−i−i−iii−i−iii-1-11
χ1722222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-200000000000000002222-2-200000000000000000000-200
χ1822222222-2-22222222-22222222-2-2-2-20022-2-2-2-2-2-20000000000000000-2-2-2-22200000000000000000000200
χ192222222-1222-122-1-1-122-1-1-1-12-122-1-122-1-12-1-1-1-1-1000022222-1-1-12-1-1-100000000220000-1-1-1-10000-1-1-1-1000
χ202222222-1222-122-1-1-122-1-1-1-12-122-1-122-1-12-1-1-1-1-10000-2-2-2-22-1-1-12-1-1-100000000-2-20000111100001111000
χ212222222-1222-122-1-1-122-1-1-1-12-122-1-1-2-2-1-12-1-1-1-1-100002222-2111-211100000000-2-2000011110000-1-1-1-1000
χ222222222-1222-122-1-1-122-1-1-1-12-122-1-1-2-2-1-12-1-1-1-1-10000-2-2-2-2-2111-211100000000220000-1-1-1-100001111000
χ23222222-1222-12-1-122-12-12-1-1-1-12-1-12222-1-1-12-1-1-1-122220000-12-1-1-12-1-10000002200-1-1-1-10000-1-1-1-10000000
χ24222222-1222-12-1-122-12-12-1-1-1-12-1-12222-1-1-12-1-1-1-1-2-2-2-20000-12-1-1-12-1-1000000-2-2001111000011110000000
χ25222222-1222-12-1-122-12-12-1-1-1-12-1-122-2-2-1-1-12-1-1-1-1222200001-2111-211000000-2-20011110000-1-1-1-10000000
χ26222222-1222-12-1-122-12-12-1-1-1-12-1-122-2-2-1-1-12-1-1-1-1-2-2-2-200001-2111-2110000002200-1-1-1-1000011110000000
χ272222-2-222222222222-2-2-2222-2-2222200-2-2-2-2-2-222000000000000000022-2-2-2-200000000000000000000200
χ282222-2-222222222222-2-2-2222-2-2222200-2-2-2-2-2-2220000000000000000-2-2222200000000000000000000-200
χ292222-2-22-1-2-22-122-1-1-12-21-1-1-1-21-2-2112-2112-1-1-11100002i2i−2i−2i2-1-1-1-2111000000002i−2i0000−i−iii0000−i−iii000
χ302222-2-22-1-2-22-122-1-1-12-21-1-1-1-21-2-2112-2112-1-1-1110000−2i−2i2i2i2-1-1-1-211100000000−2i2i0000ii−i−i0000ii−i−i000
χ312222-2-22-1-2-22-122-1-1-12-21-1-1-1-21-2-211-22112-1-1-11100002i2i−2i−2i-21112-1-1-100000000−2i2i0000ii−i−i0000−i−iii000
χ322222-2-22-1-2-22-122-1-1-12-21-1-1-1-21-2-211-22112-1-1-1110000−2i−2i2i2i-21112-1-1-1000000002i−2i0000−i−iii0000ii−i−i000
χ332222-2-2-12-2-2-12-1-122-121-2-1-1-11-211-2-22-211-12-1-1112i2i−2i−2i0000-12-1-11-2110000002i−2i00−i−iii0000−i−iii0000000
χ342222-2-2-12-2-2-12-1-122-121-2-1-1-11-211-2-22-211-12-1-111−2i−2i2i2i0000-12-1-11-211000000−2i2i00ii−i−i0000ii−i−i0000000
χ352222-2-2-12-2-2-12-1-122-121-2-1-1-11-211-2-2-2211-12-1-1112i2i−2i−2i00001-211-12-1-1000000−2i2i00ii−i−i0000−i−iii0000000
χ362222-2-2-12-2-2-12-1-122-121-2-1-1-11-211-2-2-2211-12-1-111−2i−2i2i2i00001-211-12-1-10000002i−2i00−i−iii0000ii−i−i0000000
χ372-22-22-22200-2-22-22-22022-22-2-2-20000002-2000000−i2i2−i2i2−i2i2−i2i2000000002-22-200000000000000−i2i2−i2i2−i2i2−i2i2000
χ382-22-22-22200-2-22-22-22022-22-2-2-20000002-2000000−i2i2−i2i2i2−i2i2−i200000000-22-2200000000000000−i2i2−i2i2i2−i2i2−i2000
χ392-22-22-22200-2-22-22-22022-22-2-2-20000002-2000000i2−i2i2−i2−i2i2−i2i200000000-22-2200000000000000i2−i2i2−i2−i2i2−i2i2000
χ402-22-22-22200-2-22-22-22022-22-2-2-20000002-2000000i2−i2i2−i2i2−i2i2−i2000000002-22-200000000000000i2−i2i2−i2i2−i2i2−i2000
χ412-22-2-222200-2-22-22-220-2-2-22-222000000-220000002−2−222−2−22000000002-2-22000000000000002−2−222−2−22000
χ422-22-2-222200-2-22-22-220-2-2-22-222000000-220000002−2−22−222−200000000-222-2000000000000002−2−22−222−2000
χ432-22-2-222200-2-22-22-220-2-2-22-222000000-22000000−222−22−2−2200000000-222-200000000000000−222−22−2−22000
χ442-22-2-222200-2-22-22-220-2-2-22-222000000-22000000−222−2−222−2000000002-2-2200000000000000−222−2−222−2000
χ454444444-2-4-44-244-2-2-2-44-2-2-2-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000000
χ46444444-24-4-4-24-2-244-2-4-24-2-2-2-2422-4-400-2-22-42222000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2111-2-2-2-2-2-24411-2-2111100000000-2-211-2-21100000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2111-2-2-2-2-2-2-4-411-2-211110000000022-1-122-1-100000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2111-2-22222001122-1-1-1-100000000003-3003-300000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2111-2-22222001122-1-1-1-10000000000-3300-3300000000000000000000000000000
χ514444-4-44-2444-244-2-2-2-4-42-2-2-2-4244-2-20022-4222-2-2000000000000000000000000000000000000000000000
χ524444-4-4-2444-24-2-244-2-42-4-2-2-22-4-2-24400222-422-2-2000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-42211122-2-2-2-200-1-122-1-11100000000003-300-3300000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42211122-2-2-2-200-1-122-1-1110000000000-33003-300000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-214221112222224-4-1-1-2-211-1-100000000-2-21122-1-100000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-21422111222222-44-1-1-2-211-1-10000000022-1-1-2-21100000000000000000000000000000
χ5744-4-400444i−4i44-4-4-4-440004-4-4004i−4i4i−4i000000004i−4i000000000000000000000000000000000000000000000
χ5844-4-40044−4i4i44-4-4-4-440004-4-400−4i4i−4i4i00000000−4i4i000000000000000000000000000000000000000000000
χ5944-4-4004-24i−4i4-2-4-422-2000-222004i−4i−2i2i00000000−2i2i000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000000
χ6044-4-4004-24i−4i4-2-4-422-2000-222004i−4i−2i2i00000000−2i2i000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000000
χ6144-4-4004-2−4i4i4-2-4-422-2000-22200−4i4i2i−2i000000002i−2i000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000
χ6244-4-4004-2−4i4i4-2-4-422-2000-22200−4i4i2i−2i000000002i−2i000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000
χ6344-4-400-244i−4i-2422-4-4-2000-22200−2i2i4i−4i00000000−2i2i00000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000000000000000
χ6444-4-400-244i−4i-2422-4-4-2000-22200−2i2i4i−4i00000000−2i2i00000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000000000000000
χ6544-4-400-24−4i4i-2422-4-4-2000-222002i−2i−4i4i000000002i−2i00000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000000000000000
χ6644-4-400-24−4i4i-2422-4-4-2000-222002i−2i−4i4i000000002i−2i00000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000000000000000
χ674-44-44-44-200-424-4-22-204-22-22-42000000-220000000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i2000
χ684-44-44-44-200-424-4-22-204-22-22-42000000-2200000000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i2000
χ694-44-44-4-24002-4-224-4-20-242-222-4000000-22000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i20000000
χ704-44-44-4-24002-4-224-4-20-242-222-4000000-220000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i20000000
χ714-44-4-444-200-424-4-22-20-422-224-20000002-2000000000022−22−2222000000000000000000000000000000−222−2000
χ724-44-4-444-200-424-4-22-20-422-224-20000002-20000000000−222222−220000000000000000000000000000002−2−22000
χ734-44-4-44-24002-4-224-4-202-42-22-240000002-200000022−22−2222000000000000000000000000000000−222−20000000
χ744-44-4-44-24002-4-224-4-202-42-22-240000002-2000000−222222−220000000000000000000000000000002−2−220000000
χ754-4-44004400-4-4-44-444000-4-440000000000000000000000000000000000004-400000000000000000000000
χ764-4-44004400-4-4-44-444000-4-44000000000000000000000000000000000000-4400000000000000000000000
χ7788-8-800-4-48i−8i-4-4444420002-2-200−4i4i−4i4i000000002i−2i000000000000000000000000000000000000000000000
χ7888-8-800-4-4−8i8i-4-4444420002-2-2004i−4i4i−4i00000000−2i2i000000000000000000000000000000000000000000000
χ798-88-88-8-4-40044-44-4420-4-4-22-2440000002-2000000000000000000000000000000000000000000000000000
χ808-88-8-88-4-40044-44-442044-22-2-4-4000000-22000000000000000000000000000000000000000000000000000
χ818-8-88008-400-84-884-4-400044-40000000000000000000000000000000000000000000000000000000000000
χ828-8-8800-48004-84-4-88-400044-40000000000000000000000000000000000000000000000000000000000000
χ838-8-8800-4-400444-44-42000-2-220000000000006-600000000000000000000000000000000000000000000000
χ848-8-8800-4-400444-44-42000-2-22000000000000-6600000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.