Finite Group Databasebeta

← Group #11776297

Character table — Group #11776297

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order1222334444666666346661212121212121212441212121212121212888888881212121212121212224444888824242424242424242424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1
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
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111-1-1
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-11111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i-11-1
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1ii−i−i−i−iii11-1-111-1-1-1-1-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii1-11
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1−i−iiiii−i−i11-1-111-1-1-1-1-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i1-11
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1−i−iii−i−iii11-1-111-1-11111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii-11-1
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1ii−i−iii−i−i-1-111-1-1111111-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii-1-11
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1ii−i−i−i−iii-1-111-1-111-1-1-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i11-1
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1−i−iiiii−i−i-1-111-1-111-1-1-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii11-1
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1−i−iii−i−iii-1-111-1-1111111-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i-1-11
χ172222222-2-222222222-2222-2-222-2-22200-2-2-2-2-2-222000000000000000022-2-22200000000000000000000-200
χ182222222-2-222222222-2222-2-222-2-22200-2-2-2-2-2-2220000000000000000-2-222-2-200000000000000000000200
χ19222222-222-22222222-222222-2-222-2-200-2-2-2-222-2-2000000000000000022-2-2-2-200000000000000000000200
χ20222222-222-22222222-222222-2-222-2-200-2-2-2-222-2-20000000000000000-2-2222200000000000000000000-200
χ2122222-1222222-1-12-1-12-1-1-12-12-12-12-1222-1-1-1-1-1-1-1000022222-12-1-1-1-1-1000000002200000000-1-1-1-1-1-1-1-1000
χ2222222-1222222-1-12-1-12-1-1-12-12-12-12-1222-1-1-1-1-1-1-10000-2-2-2-22-12-1-1-1-1-100000000-2-20000000011111111000
χ2322222-1222222-1-12-1-12-1-1-12-12-12-12-1-2-22-1-1-1-1-1-1-100002222-21-21111100000000-2-200000000-1-1-1-11111000
χ2422222-1222222-1-12-1-12-1-1-12-12-12-12-1-2-22-1-1-1-1-1-1-10000-2-2-2-2-21-2111110000000022000000001111-1-1-1-1000
χ2522222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-212-22-1-1-1111100002i2i−2i−2i2-1-21-1-111000000002i−2i00000000−i−iii−i−iii000
χ2622222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-212-22-1-1-111110000−2i−2i2i2i2-1-21-1-11100000000−2i2i00000000ii−i−iii−i−i000
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-21-222-1-1-1111100002i2i−2i−2i-212-111-1-100000000−2i2i00000000−i−iiiii−i−i000
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-21-222-1-1-111110000−2i−2i2i2i-212-111-1-1000000002i−2i00000000ii−i−i−i−iii000
χ292222-122222-1-122-12-12-1-1-1-12-12-12-1222-12-1-1-1-1-1-122220000-12-12-1-1-1-10000002200-1-1-1-1-1-1-1-100000000000
χ302222-122222-1-122-12-12-1-1-1-12-12-12-1222-12-1-1-1-1-1-1-2-2-2-20000-12-12-1-1-1-1000000-2-2001111111100000000000
χ312222-122222-1-122-12-12-1-1-1-12-12-12-12-2-2-12-1-1-1-1-1-1222200001-21-21111000000-2-200-1-1-1-1111100000000000
χ322222-122222-1-122-12-12-1-1-1-12-12-12-12-2-2-12-1-1-1-1-1-1-2-2-2-200001-21-2111100000022001111-1-1-1-100000000000
χ332222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-22-2-12-1-111112i2i−2i−2i0000-121-2-1-1110000002i−2i00−i−iii−i−iii00000000000
χ342222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-22-2-12-1-11111−2i−2i2i2i0000-121-2-1-111000000−2i2i00ii−i−iii−i−i00000000000
χ352222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-2-22-12-1-111112i2i−2i−2i00001-2-1211-1-1000000−2i2i00−i−iiiii−i−i00000000000
χ362222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-2-22-12-1-11111−2i−2i2i2i00001-2-1211-1-10000002i−2i00ii−i−i−i−iii00000000000
χ372-2-2222200-2-2-2-2-22220-2-22002200-2-2000000002-2−i2i2−i2i2−i2i2−i2i2000000002-2002-20000−i2i2−i2i20000−i2i2−i2i20000000
χ382-2-2222200-2-2-2-2-22220-2-22002200-2-2000000002-2−i2i2−i2i2i2−i2i2−i200000000-2200-220000−i2i2−i2i20000i2−i2i2−i20000000
χ392-2-2222200-2-2-2-2-22220-2-22002200-2-2000000002-2i2−i2i2−i2−i2i2−i2i200000000-2200-220000i2−i2i2−i20000−i2i2−i2i20000000
χ402-2-2222200-2-2-2-2-22220-2-22002200-2-2000000002-2i2−i2i2−i2i2−i2i2−i2000000002-2002-20000i2−i2i2−i20000i2−i2i2−i20000000
χ412-2-2222-2002-2-2-2-22220-2-2200-2-2002200000000-222−2−222−2−22000000002-200-2200002−2−2200002−2−220000000
χ422-2-2222-2002-2-2-2-22220-2-2200-2-2002200000000-222−2−22−222−200000000-22002-200002−2−220000−222−20000000
χ432-2-2222-2002-2-2-2-22220-2-2200-2-2002200000000-22−222−22−2−2200000000-22002-20000−222−200002−2−220000000
χ442-2-2222-2002-2-2-2-22220-2-2200-2-2002200000000-22−222−2−222−2000000002-200-220000−222−20000−222−20000000
χ4544444-24-4-4444-2-24-2-2-4-2-2-2-424-2-424-200-422222-2-2000000000000000000000000000000000000000000000
χ4644444-2-444-444-2-24-2-2-4-2-2-24-2-424-2-4200-4222-2-222000000000000000000000000000000000000000000000
χ474444-244-4-44-2-244-24-2-4-2-2-22-4-242-4-24002-42222-2-2000000000000000000000000000000000000000000000
χ484444-24-444-4-2-244-24-2-4-2-2-2-242-4-242-4002-422-2-222000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-2-2-2111100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000002222-1-1-1-100000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-21-411122-2-222-2-20022-1-1-1-1110000000000003-33-300000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-411122-2-222-2-20022-1-1-1-111000000000000-33-3300000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-4111-2-222-2-2220022-1-111-1-10000000000003-3-3300000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-4111-2-222-2-2220022-1-111-1-1000000000000-333-300000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-211-1-1-1-100000000-2-22211-1-100000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-211-1-1-1-10000000022-2-2-1-11100000000000000000000000000000
χ5744-4-44400004-44-4-4-4404-4-40000000000000000000000000000000000004-40000000000000000000000000
χ5844-4-44400004-44-4-4-4404-4-4000000000000000000000000000000000000-440000000000000000000000000
χ594-44-44404-40-44-44-4-440-44-44-400-44000000004-400000000000000000000000000000000000000000000000
χ604-44-4440-440-44-44-4-440-44-4-44004-400000000-4400000000000000000000000000000000000000000000000
χ614-44-44-204-40-442-2-42-202-224200-4-200000000-2200000000000000000000000000000000000000006−66−6000
χ624-44-44-204-40-442-2-42-202-224200-4-200000000-220000000000000000000000000000000000000000−66−66000
χ634-44-44-20-440-442-2-42-202-22-4-20042000000002-20000000000000000000000000000000000000000i6−i6−i6i6000
χ644-44-44-20-440-442-2-42-202-22-4-20042000000002-20000000000000000000000000000000000000000−i6i6i6−i6000
χ654-44-4-2404-402-2-442-4-202-22-2-4002400000000-2200000000000000000000000000000000i6−i6i6−i600000000000
χ664-44-4-2404-402-2-442-4-202-22-2-4002400000000-2200000000000000000000000000000000−i6i6−i6i600000000000
χ674-44-4-240-4402-2-442-4-202-222400-2-4000000002-2000000000000000000000000000000006−6−6600000000000
χ684-44-4-240-4402-2-442-4-202-222400-2-4000000002-200000000000000000000000000000000−666−600000000000
χ694-4-444-2400-4-4-4224-2-2022-2004-200-4200000000-220000−2i22i2−2i22i200000000000000000000000000i2−i2i2−i20000000
χ704-4-444-2400-4-4-4224-2-2022-2004-200-4200000000-2200002i2−2i22i2−2i200000000000000000000000000−i2i2−i2i20000000
χ714-4-444-2-4004-4-4224-2-2022-200-42004-2000000002-2000022−22−222200000000000000000000000000−222−20000000
χ724-4-444-2-4004-4-4224-2-2022-200-42004-2000000002-20000−222222−22000000000000000000000000002−2−220000000
χ734-4-44-24400-422-4-4-24-2022-200-24002-400000000-22−2i22i2−2i22i20000000000000000000000i2−i2i2−i2000000000000000
χ744-4-44-24400-422-4-4-24-2022-200-24002-400000000-222i2−2i22i2−2i20000000000000000000000−i2i2−i2i2000000000000000
χ754-4-44-24-400422-4-4-24-2022-2002-400-24000000002-222−22−22220000000000000000000000−222−2000000000000000
χ764-4-44-24-400422-4-4-24-2022-2002-400-24000000002-2−222222−2200000000000000000000002−2−22000000000000000
χ7788-8-88-400008-8-44-84-40-444000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-480000-448-84-8-40-444000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40000-44-4444202-2-20000000000006-60000000000000000000000000000000000000000000000000
χ8088-8-8-4-40000-44-4444202-2-2000000000000-660000000000000000000000000000000000000000000000000
χ818-88-8-4-408-804-44-44420-22-2-44004-4000000002-200000000000000000000000000000000000000000000000
χ828-88-8-4-40-8804-44-44420-22-24-400-4400000000-2200000000000000000000000000000000000000000000000
χ838-8-88-4-4800-84444-4-420-2-2200-4-40044000000002-2000000000000000000000000000000000000000000000
χ848-8-88-4-4-80084444-4-420-2-22004400-4-400000000-22000000000000000000000000000000000000000000000

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