Finite Group Databasebeta

← Group #11889304

Character table — Group #11889304

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order122233446666663666121212124444812121212242424242424242422244881212121212121212122446668121224242424244488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111-1111-1-1-1111-1-1-111-1-1-1-11111-1-1-111-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111-1111-1-11-111-1-1-1-1-1-1-111-1-1-1-1111-111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-11-1-1-1111-1-1111-111-1-1-1-111-1-1-1-11-1-11
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-1111-1-11111-11-1-1-111-11-1111-1-1-1-1-111-1-11111-11-1-1
χ7111111111111111111111111-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-11-1-111-1-1-1-111-1-111-11
χ91111111111111111111111-1-1111111111111111-1-1-11111-1-1111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1
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
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-11-1-11111111-1-1-1-1-1-111-11-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11-1111-1-11-1-1-1111-1-111111111-1-11-1-1-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1111-11-1-1-111111-1-1-1-111111-11-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-111-1-1-11-1-1111111-1-1-1-1-1111
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-111-1-1-1-111
χ161111111111111111111111-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-111-1-111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2002-200220000000000-2000-220000-2200000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-200-2200220000000000-20002-200002-200000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002002-200-2-200000000002000-2200002-200000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000200-2200-2-2000000000020002-20000-2200000000
χ2122222-122-1-1222-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-1-12220000-1-1-122-1-1-1-1002-1-1-1200-1-10000000000-10
χ2222222-122-1-1222-1-1-1-1-12-12-1222-2-211-1-1-2-21111112-2-20000-1-1-1-22-1-111002-111-200110000000000-10
χ2322222-122-1-1222-1-1-1-1-12-12-122-22-2-1-1-1-1-2-21111112220000-1-112-211-1-100-2-1-1-1-20011000000000010
χ2422222-122-1-1222-1-1-1-1-12-12-122-2-2211-1-122-1-1-1-1-1-12-2-20000-1-11-2-2111100-2-111200-1-1000000000010
χ2522222-122-1-1222-1-1-1-1-12-12-1-2-2222-1-1-1-122-1-1-1-1-1-1-2-2-2000011-122-1-1-1-100-2111-20011000000000010
χ2622222-122-1-1222-1-1-1-1-12-12-1-2-22-2-211-1-1-2-2111111-222000011-1-22-1-11100-21-1-1200-1-1000000000010
χ2722222-122-1-1222-1-1-1-1-12-12-1-2-2-22-2-1-1-1-1-2-2111111-2-2-200001112-211-1-1002111200-1-10000000000-10
χ2822222-122-1-1222-1-1-1-1-12-12-1-2-2-2-2211-1-122-1-1-1-1-1-1-2220000111-2-211110021-1-1-200110000000000-10
χ292222-122222-1-1-12-1-1-1-1-12-120022222-1-1-1-122-1-1-1-10002222002-1-1-1-1-1-12200000-1-100-1-1000000-1-100
χ302222-122222-1-1-12-1-1-1-1-12-120022222-1-1-1-122-1-1-1-1000-2-2-2-2002-1-1-1-1-1-1-2-2000001100110000001100
χ312222-122222-1-1-12-1-1-1-1-12-12002-2-2-2-2-1-111-2-2111100022-2-20021-1-1-111-2200000-1-100110000001-100
χ322222-122222-1-1-12-1-1-1-1-12-12002-2-2-2-2-1-111-2-21111000-2-2220021-1-1-1112-2000001100-1-1000000-1100
χ332222-122222-1-1-12-1-1-1-1-12-1200-22-222-1-111-2-2111100022-2-200-2-1111-1-12-200000-1-10011000000-1100
χ342222-122222-1-1-12-1-1-1-1-12-1200-22-222-1-111-2-21111000-2-22200-2-1111-1-1-22000001100-1-10000001-100
χ352222-122222-1-1-12-1-1-1-1-12-1200-2-22-2-2-1-1-1-122-1-1-1-1000222200-2111111-2-200000-1-100-1-10000001100
χ362222-122222-1-1-12-1-1-1-1-12-1200-2-22-2-2-1-1-1-122-1-1-1-1000-2-2-2-200-21111112200000110011000000-1-100
χ372-22-2222-2-2-22-2-222-2-2222-2-20000000-220000000002-2002i−2i00000000000002-2000002i−2i002i−2i000000
χ382-22-2222-2-2-22-2-222-2-2222-2-20000000-220000000002-200−2i2i00000000000002-200000−2i2i00−2i2i000000
χ392-22-2222-2-2-22-2-222-2-2222-2-20000000-22000000000-22002i−2i0000000000000-22000002i−2i00−2i2i000000
χ402-22-2222-2-2-22-2-222-2-2222-2-20000000-22000000000-2200−2i2i0000000000000-2200000−2i2i002i−2i000000
χ4144444-2-4-4-2-2444-2-2-2-2-2-42-4244000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-2-42-42-4-40000022000000004000000220000000000-20000000000000000000
χ434444-24-4-444-2-2-24-2-2-2-22-42-4000000022000000000004-40000000000000000002-200000000000000
χ444444-24-4-444-2-2-24-2-2-2-22-42-400000002200000000000-44000000000000000000-2200000000000000
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
χ4944-4-44400-44-4-44-44-44-400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ5044-4-44400-44-4-44-44-44-40000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-44-2002-2-4-442-22-2200004i−4i0000000006−666−6−60000000−2i2i0000000000000000i6−i6000000000000
χ5244-4-44-2002-2-4-442-22-2200004i−4i000000000−66−6−6660000000−2i2i0000000000000000−i6i6000000000000
χ5344-4-44-2002-2-4-442-22-220000−4i4i0000000006−666−6−600000002i−2i0000000000000000−i6i6000000000000
χ5444-4-44-2002-2-4-442-22-220000−4i4i000000000−66−6−66600000002i−2i0000000000000000i6−i6000000000000
χ554-44-444-44-4-44-4-444-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ564-44-44-24-4224-4-4-2-222-24-2-4200000002-20000000004-400000000000000000-2200000000000000000
χ574-44-44-24-4224-4-4-2-222-24-2-4200000002-2000000000-44000000000000000002-200000000000000000
χ584-44-44-2-44224-4-4-2-222-2-424-200000−2i32i3-220000000000000000000000−2i32i300000000000000000000000
χ594-44-44-2-44224-4-4-2-222-2-424-2000002i3−2i3-2200000000000000000000002i3−2i300000000000000000000000
χ604-44-4-244-4-4-4-2224-222-2-242-400000002-200000000000004i−4i00000000000000000000−2i2i0000000000
χ614-44-4-244-4-4-4-2224-222-2-242-400000002-20000000000000−4i4i000000000000000000002i−2i0000000000
χ624-44-4-24-44-4-4-2224-222-22-4-240000000-2223−230023−2323−23000000000000000000000000000000000000000
χ634-44-4-24-44-4-4-2224-222-22-4-240000000-22−232300−2323−2323000000000000000000000000000000000000000
χ644-44-4-2-2-4422-222-21-1-1122-2-200000−2i32i31-123−2300−33−330000000000003i−3ii3−i300000000000000000000000
χ654-44-4-2-2-4422-222-21-1-1122-2-200000−2i32i31-1−2323003−33−3000000000000−3i3ii3−i300000000000000000000000
χ664-44-4-2-2-4422-222-21-1-1122-2-2000002i3−2i31-123−2300−33−33000000000000−3i3i−i3i300000000000000000000000
χ674-44-4-2-2-4422-222-21-1-1122-2-2000002i3−2i31-1−2323003−33−30000000000003i−3i−i3i300000000000000000000000
χ684-4-4444004-4-44-4-444-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-4444004-4-44-4-444-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-4800-8844-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-444-442-22-200000000000000026−26−6−666000000000000000000000000000000000000000
χ7388-8-8-4-4004-444-442-22-2000000000000000−262666−6−6000000000000000000000000000000000000000
χ748-88-8-4-48-844-444-42-2-22-4-4440000000-2200000000000000000000000000000000000000000000000
χ758-8-888-400-44-88-84-4-444000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48008-84-44-8-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-444-44422-2-20000000000000000032−32−3232000000000000000000000000000000000000000
χ788-8-88-4-400-444-44422-2-200000000000000000−323232−32000000000000000000000000000000000000000

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