Finite Group Databasebeta

← Group #11889761

Character table — Group #11889761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order1222334466666634466688121212122121212121212242424242424242424446612126666121222444488121212121212242424242248812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1111111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-11-11-1-111111111-1-111-1-1-11-1111-1-1-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-11111-1111-1-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-11-1-111-1-1111-1-111-1-111-111-11-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-11111-1-11-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-111-1-1-11-11
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-11-11-1-111-1-1-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-1-11-111-111-1-1-1-111-1-1-111-111
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-111-11-1-11-1-11111-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-111-1-111111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-2222200000022000000-2-20000000000-200000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-2222-2-2000000-2-2000000-220000000000200000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-2-2-222000000-2-20000002-20000000000200000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-2-2-200000022000000220000000000-200000
χ2122222-122-12-122-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12020-1-1002-1-1-1-1-100002220-1000-1-1-1-100000000-10
χ2222222-122-12-122-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-20-2011002-1-1-1-1-10000-2-2-20100011110000000010
χ2322222-122-12-122-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-211112020-1-100-2111-1-100002-2-20-1000-1-1110000000010
χ2422222-122-12-122-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-20-201100-2111-1-10000-2220100011-1-100000000-10
χ2522222-122-12-122-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-12020-1-100-2111110000-2-220-100011-1-10000000010
χ2622222-122-12-122-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-20-201100-211111000022-201000-1-11100000000-10
χ2722222-122-12-122-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-211112020-1-1002-1-1-1110000-22-20-1000111100000000-10
χ2822222-122-12-122-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-20-2011002-1-1-11100002-2201000-1-1-1-10000000010
χ292222-12222-12-1-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1020200-1-1-12-1-1-1-1002200020-1-1-10000-1-100000-100
χ302222-12222-12-1-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-20-20011-12-1-1-1-100-2-2000-2011100001100000100
χ312222-12222-12-1-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111020200-1-11-211-1-1002-2000-20-1-1-100001100000100
χ322222-12222-12-1-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-20-200111-211-1-100-22000201110000-1-100000-100
χ332222-12222-12-1-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1020200-1-11-2111100-2-200020-1110000-1-100000100
χ342222-12222-12-1-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-20-200111-211110022000-201-1-100001100000-100
χ352222-12222-12-1-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111020200-1-1-12-1-11100-22000-20-11100001100000-100
χ362222-12222-12-1-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-20-20011-12-1-111002-2000201-1-10000-1-100000100
χ372-22-2222-2-2-22-22-222i−2i-22-2002-22-202i−2i2i−2i2-2000000000000000000002i−2i0000000000000000002-202i−2i000
χ382-22-2222-2-2-22-22-222i−2i-22-2002-22-202i−2i2i−2i2-2000000000000000000002i−2i000000000000000000-220−2i2i000
χ392-22-2222-2-2-22-22-22−2i2i-22-2002-22-20−2i2i−2i2i2-200000000000000000000−2i2i0000000000000000002-20−2i2i000
χ402-22-2222-2-2-22-22-22−2i2i-22-2002-22-20−2i2i−2i2i2-200000000000000000000−2i2i000000000000000000-2202i−2i000
χ4144444-2-4-4-24-244-2-200-2-2-200-422-400000220000000040-40-2-20000000000000000200000000000000000
χ4244444-2-4-4-24-244-2-200-2-2-200-422-4000002200000000-4040220000000000000000-200000000000000000
χ434444-24-4-44-24-2-24-200-2-2-2002-4-42000002200000000040-400-2-200000000000000020000000000000000
χ444444-24-4-44-24-2-24-200-2-2-2002-4-420000022000000000-4040022000000000000000-20000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000022-1-11100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-211-1-100000000000000000000000000
χ4944-4-4440044-4-4-4-44004-4-4000000000000000000000000000000000004-4000000000000000000000000
χ5044-4-4440044-4-4-4-44004-4-400000000000000000000000000000000000-44000000000000000000000000
χ514-44-444-44-4-44-44-4400-44-400-44-4400000-44000000000000000000000000000000000000000000000000
χ524-44-44-24-42-4-2-442-24i−4i2-220042-2-404i−4i−2i2i-2200000000000000000000−2i2i00000000000000000000000000
χ534-44-44-24-42-4-2-442-2−4i4i2-220042-2-40−4i4i2i−2i-22000000000000000000002i−2i00000000000000000000000000
χ544-44-44-2-442-4-2-442-2002-2200-4-224000002-2000000000000000000000000000000000023−23000000000000
χ554-44-44-2-442-4-2-442-2002-2200-4-224000002-20000000000000000000000000000000000−2323000000000000
χ564-44-4-244-4-4242-2-4-24i−4i2-2200-2-4420−2i2i4i−4i-2200000000000000000000−2i2i00000000000000000000000000
χ574-44-4-244-4-4242-2-4-2−4i4i2-2200-2-44202i−2i−4i4i-22000000000000000000002i−2i00000000000000000000000000
χ584-44-4-24-44-4242-2-4-2002-220024-4-2000002-200000000000000000000000000000000−2i32i300000000000000
χ594-44-4-24-44-4242-2-4-2002-220024-4-2000002-2000000000000000000000000000000002i3−2i300000000000000
χ604-44-4-2-24-422-22-2214i−4i-11-100-22-220−2i2i−2i2i1-100003i3i−3i−3i00000000003-3i−i00000000000000000000000000
χ614-44-4-2-24-422-22-2214i−4i-11-100-22-220−2i2i−2i2i1-10000−3i−3i3i3i0000000000-33i−i00000000000000000000000000
χ624-44-4-2-24-422-22-221−4i4i-11-100-22-2202i−2i2i−2i1-100003i3i−3i−3i0000000000-33−ii00000000000000000000000000
χ634-44-4-2-24-422-22-221−4i4i-11-100-22-2202i−2i2i−2i1-10000−3i−3i3i3i00000000003-3−ii00000000000000000000000000
χ644-4-444400-4-4-44-44400-4-4422−220000000000022−2222−2222−2222−220000000000000000000000000000000000000000
χ654-4-444400-4-4-44-44400-4-44−222200000000000−2222−2222−2222−22220000000000000000000000000000000000000000
χ664-4-444-2002-424-4-2-20022-222−2200000000000−2222−22−22−220000−2i32i30000000000000000000000i6−i60000000000
χ674-4-444-2002-424-4-2-20022-222−2200000000000−2222−22−22−2200002i3−2i30000000000000000000000−i6i60000000000
χ684-4-444-2002-424-4-2-20022-2−2222000000000002−2−22222−22−20000−2i32i30000000000000000000000−i6i60000000000
χ694-4-444-2002-424-4-2-20022-2−2222000000000002−2−22222−22−200002i3−2i30000000000000000000000i6−i60000000000
χ704-4-44-2400-42-4-224-20022-222−220000000000022−22−22−22−2200000023−2300000000000000000000006−600000000
χ714-4-44-2400-42-4-224-20022-222−220000000000022−22−22−22−22000000−23230000000000000000000000−6600000000
χ724-4-44-2400-42-4-224-20022-2−222200000000000−22222−22−22−200000023−230000000000000000000000−6600000000
χ734-4-44-2400-42-4-224-20022-2−222200000000000−22222−22−22−2000000−232300000000000000000000006−600000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-400-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-48008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444442002-2-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444442002-2-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ798-88-8-4-4-8844-44-44200-22-2004-44-400000-22000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-44-4200-2-2242−4200000000000−2222−22222−22−20000000000000000000000000000000000000000
χ818-8-88-4-400444-44-4200-2-22−42420000000000022−2222−22−22−220000000000000000000000000000000000000000

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