Finite Group Databasebeta

← Group #11884607

Character table — Group #11884607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order1222334466666636661212121244246681212242424242424242424444881212666121212124446812121212242424242224881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-111-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-11-11-11111-1-1-1-11-1-11-1-1-11-11
χ41111111111111111111111111-111-111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-1-111-1-111-111-111-1-11-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-111-111-1-1-1-1-1-11111-1-11-11-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1111111-11-1-1-1-1-1-1-111-1-1-1-11111-11
χ7111111111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1111
χ91111111111111111111111-1-1111111111111111-111-1-111-1-11111111-111-1-111-1-1-1-111-1-1-1-1-1-1-111-1
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
χ111111111111111111111111-1-11-111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-1111-1-111-1-1-111-11111-1-1
χ121111111111111111111111-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-11-11-1-1-1-111111-1-11-1-11-111
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11-11111111-1-1-1-1-1-111-1-111
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-11-1-11111111111-1-1-11-1-1
χ151111111111111111111111-1-1-1-1-1-111111111111-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-111-1-1-11-1-11
χ161111111111111111111111-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-1111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-22-20000220000000000-202-2000000200-2000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-2-220000220000000000-20-22000000-2002000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-20000000022-20000-2-20000000000202-2000000-2002000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-2000000002-220000-2-2000000000020-22000000200-2000000
χ2122222-122-122-1-12-1-1-1-1-12-122222-1-12-1-122-1-1-1-1-1-12002200-1-12-1-1-12-1-1200-1200-1-1-1-100000000-1000
χ2222222-122-122-1-12-1-1-1-1-12-12222-2-1-1-2-1-1-2-21111112002200-1-12-1-11-211-200-1-200-1-111000000001000
χ2322222-122-122-1-12-1-1-1-1-12-1222-2211-2-1-1-2-2111111200-2-200-1-1-211-12-1-1200-1-200111100000000-1000
χ2422222-122-122-1-12-1-1-1-1-12-1222-2-2112-1-122-1-1-1-1-1-1200-2-200-1-1-2111-211-200-120011-1-1000000001000
χ2522222-122-122-1-12-1-1-1-1-12-12-2-222-1-12-1-122-1-1-1-1-1-1-200-2-200112-1-1-12-1-1-2001-2001111000000001000
χ2622222-122-122-1-12-1-1-1-1-12-12-2-22-2-1-1-2-1-1-2-2111111-200-2-200112-1-11-211200120011-1-100000000-1000
χ2722222-122-122-1-12-1-1-1-1-12-12-2-2-2211-2-1-1-2-2111111-200220011-211-12-1-1-2001200-1-1-1-1000000001000
χ2822222-122-122-1-12-1-1-1-1-12-12-2-2-2-2112-1-122-1-1-1-1-1-1-200220011-2111-2112001-200-1-11100000000-1000
χ292222-12222-1-122-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1022002200-1-1-12-1-1-102200-1-10000-1-10000000-1-10
χ302222-12222-1-122-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-10-2-200-2-200-1-1-12-1-1-10-2-200110000110000000110
χ312222-12222-1-122-1-1-1-1-12-12-1002-222-2-1-111-2-2111102200-2-200-1-1-1-211102-200-1-10000110000000-110
χ322222-12222-1-122-1-1-1-1-12-12-1002-222-2-1-111-2-211110-2-2002200-1-1-1-21110-2200110000-1-100000001-10
χ332222-12222-1-122-1-1-1-1-12-12-100-22-2-2-2-1-111-2-2111102200-2-2001112-1-1-10-2200-1-100001100000001-10
χ342222-12222-1-122-1-1-1-1-12-12-100-22-2-2-2-1-111-2-211110-2-20022001112-1-1-102-200110000-1-10000000-110
χ352222-12222-1-122-1-1-1-1-12-12-100-2-2-2-22-1-1-1-122-1-1-1-1022002200111-21110-2-200-1-10000-1-10000000110
χ362222-12222-1-122-1-1-1-1-12-12-100-2-2-2-22-1-1-1-122-1-1-1-10-2-200-2-200111-211102200110000110000000-1-10
χ372-2-2222-22-2-2-2-2222-2-22-2-22200000002-2000000000002-22-200000000000000002-2002-202-20000000
χ382-2-2222-22-2-2-2-2222-2-22-2-22200000002-2000000000002-2-2200000000000000002-200-220-220000000
χ392-2-2222-22-2-2-2-2222-2-22-2-22200000002-200000000000-222-20000000000000000-22002-20-220000000
χ402-2-2222-22-2-2-2-2222-2-22-2-22200000002-200000000000-22-220000000000000000-2200-2202-20000000
χ4144444-2-4-4-244-2-24-2-2-2-22-42-444000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-4-244-2-24-2-2-2-22-42-4-4-40000022000000004000000220000000000-20000000000000000000
χ434444-24-4-44-2-244-2-2-2-2-2-42-420000000220000000004-4000000000000000000-220000000000000000
χ444444-24-4-44-2-244-2-2-2-2-2-42-42000000022000000000-440000000000000000002-20000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-2411-2-2-2-21111000000000-211-2-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-4112222-1-1-1-1000000000-21122-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4112222-1-1-1-10000000002-1-1-2-21100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-422411-2-2-2-211110000000002-1-122-1-100000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000000000000022−220000
χ5044-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000000000000000−22220000
χ514-44-44400-4-444-4-44-44-400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ524-44-44400-4-444-4-44-44-40000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ534-44-44-2002-44-22-4-22-2200004i−4i0000000006−666−6−60000000−2i2i0000000000000000i6−i6000000000000
χ544-44-44-2002-44-22-4-22-2200004i−4i000000000−66−6−6660000000−2i2i0000000000000000−i6i6000000000000
χ554-44-44-2002-44-22-4-22-220000−4i4i0000000006−666−6−600000002i−2i0000000000000000−i6i6000000000000
χ564-44-44-2002-44-22-4-22-220000−4i4i000000000−66−6−66600000002i−2i0000000000000000i6−i6000000000000
χ574-4-44444-4-4-4-4-4444-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ584-4-444-24-42-4-42-24-222-2-242-40000−2i32i302-2000000000000000000−2i32i3000000000000000000000000000
χ594-4-444-24-42-4-42-24-222-2-242-400002i3−2i302-20000000000000000002i3−2i3000000000000000000000000000
χ604-4-444-2-442-4-42-24-222-22-4-240000000-22000000000004-4000000000000000000-2200000000000000
χ614-4-444-2-442-4-42-24-222-22-4-240000000-2200000000000-440000000000000000002-200000000000000
χ624-4-44-244-4-422-44-2-222-24-2-4200000002-2−2i32i300−2i32i3−2i32i3000000000000000000000000000000000000000
χ634-4-44-244-4-422-44-2-222-24-2-4200000002-22i3−2i3002i3−2i32i3−2i3000000000000000000000000000000000000000
χ644-4-44-24-44-422-44-2-222-2-424-20000000-2200000000000004-400000000000000000000-220000000000
χ654-4-44-24-44-422-44-2-222-2-424-20000000-220000000000000-44000000000000000000002-20000000000
χ664-4-44-2-24-42222-2-21-1-11-2-2220000−2i32i30-11−2i32i300i3−i3i3−i30000000000i3−i3003-300000000000000000000000
χ674-4-44-2-24-42222-2-21-1-11-2-2220000−2i32i30-112i3−2i300−i3i3−i3i30000000000i3−i300-3300000000000000000000000
χ684-4-44-2-24-42222-2-21-1-11-2-22200002i3−2i30-11−2i32i300i3−i3i3−i30000000000−i3i300-3300000000000000000000000
χ694-4-44-2-24-42222-2-21-1-11-2-22200002i3−2i30-112i3−2i300−i3i3−i3i30000000000−i3i3003-300000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-400-48-844-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-48008-44-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ758-88-8-4800-84-48-84-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-4-4442-22-200000000000000026−26−6−666000000000000000000000000000000000000000
χ778-88-8-4-40044-4-4442-22-2000000000000000−262666−6−6000000000000000000000000000000000000000
χ788-8-88-4-4-884444-4-42-2-2244-4-400000002-200000000000000000000000000000000000000000000000

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