Finite Group Databasebeta

← Group #11889308

Character table — Group #11889308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order1222334466666636661212121244812121212242424242424242422244488881212121212121212124444466612122424242424412121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-111-111-1-1111111111-1-11-1-1-1111-111-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-1-11-1-11-1-111-1-11111111-1-1-1111-1-1-11-1-111-1-1-1-111-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11-1111-1-1-1-1-11-1111-1111-1-1-1-1-1-11-111
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1111-1-111-1-11-111-1-11111111-1-11-1-1
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1111-1-11111-11-1-111-1-1-1-111111-1-1-1
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1111-1-1-1-11-11-1-1-11-1-1-111-1-1-11-1111
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-1-11111-1-1111111-1-1-1-11-1-1-1-111-1
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-111-111-1-1-11111-11-1-1-111-1-1-11-1-1111-1-1-111-111-11-1-11
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-11-1-1-111-1-11-111-1-1-1111-1-1-1111-11-11
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1111111-1-1-1-1-1-111111-1-111-11-1
χ131111111111111111111111-1-11-1-11111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111-11-1-111-1111-1-11-1
χ141111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11-1-1111-11
χ151111111111111111111111-1-11-1-11111111111-1-11111111111-1-1-1-1-1-1-111-1-1-11-1-11111111-1-1-1-1-1-11
χ161111111111111111111111-1-11-1-11111111111-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1-111-1111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000000022-2-20000-2-20000000-2-20002002-2000020000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000002-22-2000022000000022000200-2-20000-20000000
χ19222222-2-22222222222-2-2-2-200000-2-20000000000-22-220000-2-2000000022000-200220000-20000000
χ20222222-2-22222222222-2-2-2-200000-2-20000000000-2-2220000220000000-2-2000-200-22000020000000
χ2122222-122-122-1-12-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-12202202200-1-122-1-1-1-1-1002000-1-1-10-1-100000-10000
χ2222222-122-122-1-12-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-1-2-20-2-20-2-2001122-1-1-1-1-100-20001110110000010000
χ2322222-122-122-1-12-1-1-1-1-12-122-2-211-1-1-2-2111111220-2-202200112-2-1-1-11100-2000-1-110-1-10000010000
χ2422222-122-122-1-12-1-1-1-1-12-122-2-211-1-1-2-2111111-2-20220-2-200-1-12-2-1-1-11100200011-101100000-10000
χ2522222-122-122-1-12-1-1-1-1-12-12-22-2-1-1-1-1-2-2111111220220-2-200-1-1-22111-1-100-2000-1-1-10110000010000
χ2622222-122-122-1-12-1-1-1-1-12-12-22-2-1-1-1-1-2-2111111-2-20-2-20220011-22111-1-10020001110-1-100000-10000
χ2722222-122-122-1-12-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-1220-2-20-2-20011-2-211111002000-1-1101100000-10000
χ2822222-122-122-1-12-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-1-2-202202200-1-1-2-21111100-200011-10-1-10000010000
χ292222-12222-1-122-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1002002002200-1-12-1-1-1-100022-1000-100-1-10000-1-100
χ302222-12222-1-122-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-100-200-200-2-200-1-12-1-1-1-1000-2-210001001100001100
χ312222-12222-1-122-1-1-1-1-12-12-12-2-2-2-2-1-111-2-2111100200200-2-200-112-1-1110002-2-1000-100110000-1100
χ322222-12222-1-122-1-1-1-1-12-12-12-2-2-2-2-1-111-2-2111100-200-2002200-112-1-111000-221000100-1-100001-100
χ332222-12222-1-122-1-1-1-1-12-12-1-22-222-1-111-2-2111100200200-2-2001-1-211-1-1000-22-1000-1001100001-100
χ342222-12222-1-122-1-1-1-1-12-12-1-22-222-1-111-2-2111100-200-20022001-1-211-1-10002-21000100-1-10000-1100
χ352222-12222-1-122-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-100200200220011-21111000-2-2-1000-100-1-100001100
χ362222-12222-1-122-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-100-200-200-2-20011-21111000221000100110000-1-100
χ372-2-2222-222-2-2-2-2222-2-222-2-2000002-2000000002-20000002i−2i0000000000000002-200002i−2i02i−2i00000
χ382-2-2222-222-2-2-2-2222-2-222-2-2000002-2000000002-2000000−2i2i0000000000000002-20000−2i2i0−2i2i00000
χ392-2-2222-222-2-2-2-2222-2-222-2-2000002-200000000-220000002i−2i000000000000000-2200002i−2i0−2i2i00000
χ402-2-2222-222-2-2-2-2222-2-222-2-2000002-200000000-22000000−2i2i000000000000000-220000−2i2i02i−2i00000
χ4144444-2-4-4-244-2-24-2-2-2-22-42-40000022000000000004-40000022000000000000000-20000000000000
χ4244444-2-4-4-244-2-24-2-2-2-22-42-4000002200000000000-4400000-2-200000000000000020000000000000
χ434444-24-4-44-2-244-2-2-2-2-2-42-4200000220000000000400-4000000000000000000-20002000000000000
χ444444-24-4-44-2-244-2-2-2-2-2-42-4200000220000000000-40040000000000000000002000-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-1000000000000-22-211-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-10000000000002-22-1-1110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-44400-44-4-44-44-44-4000000000000000000000000000000000000004i−4i00000000000000000000
χ5044-4-44400-44-4-44-44-44-400000000000000000000000000000000000000−4i4i00000000000000000000
χ514-44-44400-4-444-4-44-4-440000000000000000000000000−2i22i2000000000000000000000−2i22i20000000000
χ524-44-44400-4-444-4-44-4-4400000000000000000000000002i2−2i20000000000000000000002i2−2i20000000000
χ534-44-44-2002-44-22-4-222-200000000000006−666−6−6000000−2i22i200−2i32i300000000000000000i2−i20000000000
χ544-44-44-2002-44-22-4-222-200000000000006−666−6−60000002i2−2i2002i3−2i300000000000000000−i2i20000000000
χ554-44-44-2002-44-22-4-222-20000000000000−66−6−666000000−2i22i2002i3−2i300000000000000000i2−i20000000000
χ564-44-44-2002-44-22-4-222-20000000000000−66−6−6660000002i2−2i200−2i32i300000000000000000−i2i20000000000
χ574-4-44444-44-4-4-4-4444-4-4-4-44400000-440000000000000000000000000000000000000000000000000
χ584-4-444-24-4-2-4-4224-2-2222-4-2400023−232-2000000000000000000000000023−230000000000000000000000
χ594-4-444-24-4-2-4-4224-2-2222-4-24000−23232-20000000000000000000000000−23230000000000000000000000
χ604-4-444-2-44-2-4-4224-2-222-242-400000-22000000004-400000000000000000000000-2200000000000000
χ614-4-444-2-44-2-4-4224-2-222-242-400000-2200000000-44000000000000000000000002-200000000000000
χ624-4-44-244-4422-4-4-2-2-222-424-2000002-2−2i32i300−2i32i3−2i32i300000000000000000000000000000000000000000
χ634-4-44-244-4422-4-4-2-2-222-424-2000002-22i3−2i3002i3−2i32i3−2i300000000000000000000000000000000000000000
χ644-4-44-24-44422-4-4-2-2-2224-2-4200000-2200000000000000004i−4i000000000000000000000−2i2i00000000
χ654-4-44-24-44422-4-4-2-2-2224-2-4200000-220000000000000000−4i4i0000000000000000000002i−2i00000000
χ664-4-44-2-24-4-22222-211-1-122-2-200023−23-11−2i32i300i3−i3i3−i30000000000000003i−3i−330000000000000000000000
χ674-4-44-2-24-4-22222-211-1-122-2-200023−23-112i3−2i300−i3i3−i3i3000000000000000−3i3i−330000000000000000000000
χ684-4-44-2-24-4-22222-211-1-122-2-2000−2323-11−2i32i300i3−i3i3−i3000000000000000−3i3i3−30000000000000000000000
χ694-4-44-2-24-4-22222-211-1-122-2-2000−2323-112i3−2i300−i3i3−i3i30000000000000003i−3i3−30000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-88-40048-84-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800-8-44-884-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-444-442-22-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ7488-8-8-4-4004-444-442-22-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ758-88-8-4800-84-48-84-444-4000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-40044-4-4442-2-22000000000000026−26−6−66600000000000000000000000000000000000000000
χ778-88-8-4-40044-4-4442-2-220000000000000−262666−6−600000000000000000000000000000000000000000
χ788-8-88-4-4-88-44444-422-2-2-4-444000002-20000000000000000000000000000000000000000000000000

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