Finite Group Databasebeta

← Group #11884481

Character table — Group #11884481

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order1222334466666636661212121244448121212122424242424242424222248812121212121212121222466668122424242444448866122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-11111-111-1-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111-1111-1-111-111-1-1-11-1-1-1-11111-1-111-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1111-1-11-11-11-1-1-1-1-1-111-1-1-1-111-1111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-11-1-1-111-1-111111-11-1-1-1-111-1-1-1-1-1-111
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-1111-1-11111-11-1-1-111-11-1-1111-1-1-1-111-1-111111-1-1-1
χ7111111111111111111111111-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-11-111-1-1-1-111-1-11-111
χ91111111111111111111111-1-1111111111111111-1-1-11111-1-11111111-1111-1-1-1-11-1-111-1-1-1-1-1-11-11-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-11-11-1111111-1-1-1-1-1-1111-1-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11-1111-1-1-1-11-1-1111-111111111-1-1-1-11-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1111-111-1-1-11111-1-1-1-11111-111-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-11111-1-1-1-1-11-1111111-1-1-1-111-11
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-11-1-11-111-11-1-111-1-111-1-1-11-11
χ161111111111111111111111-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2002-2002200000000002-2000-20000-2200000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-200-2200220000000000-2-2000200002-200000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002002-200-2-2000000000022000-200002-200000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000200-2200-2-20000000000-2200020000-2200000000
χ2122222-1222-1-12-12-1-1-1-12-1-1222222-1-1-1-1-1-122-1-1-1-12220000-1-1-122-1-1-1-12000-1-1-120-1-1000000000-100
χ2222222-1222-1-12-12-1-1-1-12-1-12222-2-211-1-111-2-211112-2-20000-1-1-1-22-1-1112000-111-2011000000000-100
χ2322222-1222-1-12-12-1-1-1-12-1-1222-22-2-1-1-1-111-2-211112220000-1-112-211-1-1-2000-1-1-1-2011000000000100
χ2422222-1222-1-12-12-1-1-1-12-1-1222-2-2211-1-1-1-122-1-1-1-12-2-20000-1-11-2-21111-2000-11120-1-1000000000100
χ2522222-1222-1-12-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-122-1-1-1-1-2-2-2000011-122-1-1-1-1-2000111-2011000000000100
χ2622222-1222-1-12-12-1-1-1-12-1-12-2-22-2-211-1-111-2-21111-222000011-1-22-1-111-20001-1-120-1-1000000000100
χ2722222-1222-1-12-12-1-1-1-12-1-12-2-2-22-2-1-1-1-111-2-21111-2-2-200001112-211-1-1200011120-1-1000000000-100
χ2822222-1222-1-12-12-1-1-1-12-1-12-2-2-2-2211-1-1-1-122-1-1-1-1-2220000111-2-2111120001-1-1-2011000000000-100
χ292222-1222-122-12-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-10002222002-1-1-1-1-1-1022-10000-100-1-1000000-10-10
χ302222-1222-122-12-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1000-2-2-2-2002-1-1-1-1-1-10-2-210000100110000001010
χ312222-1222-122-12-1-1-1-1-1-122-1002-2-2-2-2-1-1-2-211111100022-2-20021-1-1-11102-2-10000-10011000000-1010
χ322222-1222-122-12-1-1-1-1-1-122-1002-2-2-2-2-1-1-2-2111111000-2-2220021-1-1-1110-2210000100-1-100000010-10
χ332222-1222-122-12-1-1-1-1-1-122-100-22-222-1-1-2-211111100022-2-200-2-1111-1-10-22-10000-1001100000010-10
χ342222-1222-122-12-1-1-1-1-1-122-100-22-222-1-1-2-2111111000-2-22200-2-1111-1-102-210000100-1-1000000-1010
χ352222-1222-122-12-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-1000222200-21111110-2-2-10000-100-1-10000001010
χ362222-1222-122-12-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-1000-2-2-2-200-21111110221000010011000000-10-10
χ372-2-2222-22-2-2-222-22-2-22-22-220000000-220000000002-2002-2000000000000002-200002-2002-2000000
χ382-2-2222-22-2-2-222-22-2-22-22-220000000-220000000002-200-22000000000000002-20000-2200-22000000
χ392-2-2222-22-2-2-222-22-2-22-22-220000000-22000000000-22002-200000000000000-2200002-200-22000000
χ402-2-2222-22-2-2-222-22-2-22-22-220000000-22000000000-2200-2200000000000000-220000-22002-2000000
χ4144444-2-4-44-2-24-24-2-2-2-2-422-444000002200000000-4000000-2-2000000000002000000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-2-422-4-4-400000220000000040000002200000000000-2000000000000000000
χ434444-24-4-4-244-24-2-2-2-2-22-4-42000000022000000000004-400000000000000-20000200000000000000
χ444444-24-4-4-244-24-2-2-2-2-22-4-4200000002200000000000-440000000000000020000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422112222-1-1-1-1000000000-22-211-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-2112222-1-1-1-10000000002-22-1-11100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-21111000000000222-1-1-1-100000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-44-2004-22-42-4-2-22200004i−4i0000000i6−i600i6i6−i6−i60000000−2i2i00000000000000006−6000000000000
χ5244-4-44-2004-22-42-4-2-22200004i−4i0000000−i6i600−i6−i6i6i60000000−2i2i0000000000000000−66000000000000
χ5344-4-44-2004-22-42-4-2-2220000−4i4i0000000i6−i600i6i6−i6−i600000002i−2i0000000000000000−66000000000000
χ5444-4-44-2004-22-42-4-2-2220000−4i4i0000000−i6i600−i6−i6i6i600000002i−2i00000000000000006−6000000000000
χ554-44-44400-4-44-4-444-44-400000000000000000000000000000000000000000000000000000022−220000
χ564-44-44400-4-44-4-444-44-4000000000000000000000000000000000000000000000000000000−22220000
χ574-4-44444-4-4-4-444-44-4-444-44-400000004-400000000000000000000000000000000000000000000000
χ584-4-444-24-4-4224-2-4-222-242-2-400000−2i32i3-220000000000000000000000−2i32i300000000000000000000000
χ594-4-444-24-4-4224-2-4-222-242-2-4000002i3−2i3-2200000000000000000000002i3−2i300000000000000000000000
χ604-4-444-2-44-4224-2-4-222-2-4-22400000002-20000000004-4000000000000000000-220000000000000000
χ614-4-444-2-44-4224-2-4-222-2-4-22400000002-2000000000-440000000000000000002-20000000000000000
χ624-4-44-244-42-4-4-242-222-2-2-4420000000-220023−2323−2323−23000000000000000000000000000000000000000
χ634-4-44-244-42-4-4-242-222-2-2-4420000000-2200−2323−2323−2323000000000000000000000000000000000000000
χ644-4-44-24-442-4-4-242-222-224-4-200000002-200000000000004-400000000000000000000-220000000000
χ654-4-44-24-442-4-4-242-222-224-4-200000002-20000000000000-44000000000000000000002-20000000000
χ664-4-44-2-24-4222-2-221-1-11-22-2200000−2i32i31-10023−23−33−330000000000003i−3ii3−i300000000000000000000000
χ674-4-44-2-24-4222-2-221-1-11-22-2200000−2i32i31-100−23233−33−3000000000000−3i3ii3−i300000000000000000000000
χ684-4-44-2-24-4222-2-221-1-11-22-22000002i3−2i31-10023−23−33−33000000000000−3i3i−i3i300000000000000000000000
χ694-4-44-2-24-4222-2-221-1-11-22-22000002i3−2i31-100−23233−33−30000000000003i−3i−i3i300000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-4800-48-84-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-4-4444422-2-200000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-20000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ748-88-88-400-84-4-848-44-44000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-884-8-4-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-444-42-22-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ778-88-8-4-40044-444-42-22-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ788-8-88-4-4-88444-4-442-2-224-44-40000000-2200000000000000000000000000000000000000000000000

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