Finite Group Databasebeta

← Group #11889458

Character table — Group #11889458

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212224481212121224242424242424244444466881212121212121244481212121212242424242444881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111111-1-11111111-11-11-1-111111-1-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-111-1-111-1-1111-1-1-1-1-1-11111-1-11-11-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111-111-1-1-111-1-1-11-1-1-1-111-1-1-1-111-1111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-1-11-111111-1-1-1-11-1-11-1-1-11-11
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-1-1-1111-1-111-111-1111-1-1-1
χ7111111111111111111111111-1-11-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1
χ8111111111111111111111111-1-11-1-11111111111-1-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11-1-111-1-1-111-1-1-111-11
χ91111111111111111111111-1-111111111111111111-1-1-1-1-11111111111-11-111-1-1-1-1-111-1-1-1-1-1-111-1-1
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
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111-111-1-11-1-1111-11111-1-1-1-1-1-1111-1-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-111-1-1-11111111111-1-1-11-1-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-111-1-1-111-111-111-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-11-1-1-1-1-111111-1-11-1-11-111
χ151111111111111111111111-1-1-1-11-1-1111111111111-111-1-111-1-1-1-1-1-1-1-11-1-111-111-1-111-111-1-1-1-1-111
χ161111111111111111111111-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-1111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-2000000002-2-2002200000000000002-2-2000000-2002000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-22-200220000000000000-22-2000000200-2000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002-2200-2-200000000000002-22000000200-2000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000-22200-2-20000000000000-222000000-2002000000
χ2122222-122-1-1222-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-100222-1-100-122-1-1-1-1020200-1-1-1-1-10000000000-10
χ2222222-122-1-1222-1-1-1-1-12-12-1222-2-211-1-1-2-2111111002-2-2-1-100-12-2-1-111020-200-111110000000000-10
χ2322222-122-1-1222-1-1-1-1-12-12-122-22-2-1-1-1-1-2-211111100222-1-1001-2211-1-10-20-200-1-1-111000000000010
χ2422222-122-1-1222-1-1-1-1-12-12-122-2-2211-1-122-1-1-1-1-1-1002-2-2-1-1001-2-211110-20200-111-1-1000000000010
χ2522222-122-1-1222-1-1-1-1-12-12-1-2-2222-1-1-1-122-1-1-1-1-1-100-2-2-21100-122-1-1-1-10-20-20011111000000000010
χ2622222-122-1-1222-1-1-1-1-12-12-1-2-22-2-211-1-1-2-211111100-2221100-12-2-1-1110-202001-1-1-1-1000000000010
χ2722222-122-1-1222-1-1-1-1-12-12-1-2-2-22-2-1-1-1-1-2-211111100-2-2-211001-2211-1-1020200111-1-10000000000-10
χ2822222-122-1-1222-1-1-1-1-12-12-1-2-2-2-2211-1-122-1-1-1-1-1-100-22211001-2-21111020-2001-1-1110000000000-10
χ292222-122222-1-1-12-1-1-1-1-12-120022222-1-1-1-122-1-1-1-12200000222-1-1-1-1-1-12020-1-100000-1-1000000-1-100
χ302222-122222-1-1-12-1-1-1-1-12-120022222-1-1-1-122-1-1-1-1-2-200000-2-22-1-1-1-1-1-1-20-201100000110000001100
χ312222-122222-1-1-12-1-1-1-1-12-12002-2-2-2-2-1-111-2-211112200000-2-22-11-1-11120-20-1-10000011000000-1100
χ322222-122222-1-1-12-1-1-1-1-12-12002-2-2-2-2-1-111-2-21111-2-200000222-11-1-111-20201100000-1-10000001-100
χ332222-122222-1-1-12-1-1-1-1-12-1200-22-222-1-111-2-211112200000-2-2-21-111-1-1-2020-1-100000110000001-100
χ342222-122222-1-1-12-1-1-1-1-12-1200-22-222-1-111-2-21111-2-20000022-21-111-1-120-201100000-1-1000000-1100
χ352222-122222-1-1-12-1-1-1-1-12-1200-2-22-2-2-1-1-1-122-1-1-1-1220000022-2111111-20-20-1-100000-1-10000001100
χ362222-122222-1-1-12-1-1-1-1-12-1200-2-22-2-2-1-1-1-122-1-1-1-1-2-200000-2-2-21111112020110000011000000-1-100
χ372-2-22222-2-2-2-22-222-2-2222-2-20000000-22000000000002-2002i−2i000000000000002-2002i−2i02i−2i0000000
χ382-2-22222-2-2-2-22-222-2-2222-2-20000000-22000000000002-200−2i2i000000000000002-200−2i2i0−2i2i0000000
χ392-2-22222-2-2-2-22-222-2-2222-2-20000000-2200000000000-22002i−2i00000000000000-22002i−2i0−2i2i0000000
χ402-2-22222-2-2-2-22-222-2-2222-2-20000000-2200000000000-2200−2i2i00000000000000-2200−2i2i02i−2i0000000
χ4144444-2-4-4-2-2444-2-2-2-2-2-42-424400000220000000000-400-2-200000000000000020000000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-2-42-42-4-40000022000000000040022000000000000000-20000000000000000
χ434444-24-4-444-2-2-24-2-2-2-22-42-4000000022000000004-4000000000000000000-2200000000000000000
χ444444-24-4-444-2-2-24-2-2-2-22-42-400000002200000000-440000000000000000002-200000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422112222-1-1-1-1000000000-2-2211-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-2112222-1-1-1-100000000022-2-1-11100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-21111000000000222-1-1-1-100000000000000000000000
χ4944-4-44400-444-4-4-44-44-400000000000000000000000000000000000000000000000000000022−220000
χ5044-4-44400-444-4-4-44-44-4000000000000000000000000000000000000000000000000000000−22220000
χ514-44-444004-4-4-44-444-4-400004-4000000000000000000004-400000000000000000000000000000000
χ524-44-444004-4-4-44-444-4-40000-4400000000000000000000-4400000000000000000000000000000000
χ534-44-44-200-22-4-442-2-22200004-4000000000i6−i6i6i6−i6−i600000-22000000000000000000i6−i6000000000000
χ544-44-44-200-22-4-442-2-22200004-4000000000−i6i6−i6−i6i6i600000-22000000000000000000−i6i6000000000000
χ554-44-44-200-22-4-442-2-2220000-44000000000i6−i6i6i6−i6−i6000002-2000000000000000000−i6i6000000000000
χ564-44-44-200-22-4-442-2-2220000-44000000000−i6i6−i6−i6i6i6000002-2000000000000000000i6−i6000000000000
χ574-4-4444-44-4-4-44-444-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-444-24-422-44-4-2-222-24-2-4200000002-2000000000004-4000000000000000000-2200000000000000
χ594-4-444-24-422-44-4-2-222-24-2-4200000002-200000000000-440000000000000000002-200000000000000
χ604-4-444-2-4422-44-4-2-222-2-424-200000−2i32i3-220000000000000000000000−2i32i300000000000000000000000
χ614-4-444-2-4422-44-4-2-222-2-424-2000002i3−2i3-2200000000000000000000002i3−2i300000000000000000000000
χ624-4-44-244-4-4-42-224-222-2-242-400000002-20000000000000004i−4i000000000000000000−2i2i0000000000
χ634-4-44-244-4-4-42-224-222-2-242-400000002-2000000000000000−4i4i0000000000000000002i−2i0000000000
χ644-4-44-24-44-4-42-224-222-22-4-240000000-2223−230023−2323−23000000000000000000000000000000000000000
χ654-4-44-24-44-4-42-224-222-22-4-240000000-22−232300−2323−2323000000000000000000000000000000000000000
χ664-4-44-2-2-44222-22-21-1-1122-2-200000−2i32i31-123−2300−33−330000000000003i−3ii3−i300000000000000000000000
χ674-4-44-2-2-44222-22-21-1-1122-2-200000−2i32i31-1−2323003−33−3000000000000−3i3ii3−i300000000000000000000000
χ684-4-44-2-2-44222-22-21-1-1122-2-2000002i3−2i31-123−2300−33−33000000000000−3i3i−i3i300000000000000000000000
χ694-4-44-2-2-44222-22-21-1-1122-2-2000002i3−2i31-1−2323003−33−30000000000003i−3i−i3i300000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-4004-48-8-84-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-88-444-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4-44442-22-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ7488-8-8-4-4004-4-44442-22-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ758-88-8-48008-844-4-8-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-4444-4422-2-20000000000000002i6−2i6−i6−i6i6i6000000000000000000000000000000000000000
χ778-88-8-4-400-4444-4422-2-2000000000000000−2i62i6i6i6−i6−i6000000000000000000000000000000000000000
χ788-8-88-4-48-8444-44-42-2-22-4-4440000000-2200000000000000000000000000000000000000000000000

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