Finite Group Databasebeta

← Group #11889142

Character table — Group #11889142

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order1222334466666636661212121224812121212242424242424242424444488881212666612121222244612121212242424242246121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-11111-1-1-111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111-1-11111-1-111111111111-1-11-1-1-1-1111-1-111-1-1-11-1-1-1-1
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
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-11111-1-1-111-1-1-1-11-111
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-11111-111-1-11-1-1-1-111111-1-1-1
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-111-1-11-1-111-11111111-1-11-1-1
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-11-1-1-1-1111-1-1-1-1-11-1111
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11-1-111-1
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1111-1-1-1-1-11111-11-11-11
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-11-1-1-111111-1-111-1-11-1-11
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1111-11-1
χ131111111111111111111111-1-11-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-111-1-111-11-1-11-1
χ141111111111111111111111-1-11-1-1111111111111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-111111-1-11-1-1-1-11
χ151111111111111111111111-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-11111-11
χ161111111111111111111111-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-1111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000002-2002-20000220000000-2-20002-200-2000000200000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-200-220000-2-20000000220002-2002000000-200000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-22002-2000022000000022000-2200-2000000-200000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2200-220000-2-20000000-2-2000-22002000000200000
χ2122222-1222-1-12-12-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-10022220022-1-12-1-1-12-1-10020000-1-1-100-1-1000-10000
χ2222222-1222-1-12-12-1-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-100-2-2-2-200-2-2112-1-1-12-1-100-20000111001100010000
χ2322222-1222-1-12-12-1-1-1-1-12-122-2-211-1-1-2-21111110022-2-20022112-1-1-1-21100-20000-1-1100-1-100010000
χ2422222-1222-1-12-12-1-1-1-1-12-122-2-211-1-1-2-211111100-2-22200-2-2-1-12-1-1-1-211002000011-10011000-10000
χ2522222-1222-1-12-12-1-1-1-1-12-12-22-2-1-1-1-1-2-211111100222200-2-2-1-1-21112-1-100-20000-1-1-1001100010000
χ2622222-1222-1-12-12-1-1-1-1-12-12-22-2-1-1-1-1-2-211111100-2-2-2-2002211-21112-1-1002000011100-1-1000-10000
χ2722222-1222-1-12-12-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-10022-2-200-2-211-2111-2110020000-1-110011000-10000
χ2822222-1222-1-12-12-1-1-1-1-12-12-2-2211-1-122-1-1-1-1-1-100-2-2220022-1-1-2111-21100-2000011-100-1-100010000
χ292222-1222-122-12-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1220000220000-12-1-1-1-1-100022-1-1000-1-1000000-1-100
χ302222-1222-122-12-1-1-1-1-12-12-122222-1-1-1-122-1-1-1-1-2-20000-2-20000-12-1-1-1-1-1000-2-211000110000001100
χ312222-1222-122-12-1-1-1-1-12-12-12-2-2-2-2-1-111-2-21111220000-2-20000-12-1-11110002-2-1-100011000000-1100
χ322222-1222-122-12-1-1-1-1-12-12-12-2-2-2-2-1-111-2-21111-2-20000220000-12-1-1111000-2211000-1-10000001-100
χ332222-1222-122-12-1-1-1-1-12-12-1-22-222-1-111-2-21111220000-2-200001-211-1-1-1000-22-1-1000110000001-100
χ342222-1222-122-12-1-1-1-1-12-12-1-22-222-1-111-2-21111-2-200002200001-211-1-1-10002-211000-1-1000000-1100
χ352222-1222-122-12-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-12200002200001-211111000-2-2-1-1000-1-10000001100
χ362222-1222-122-12-1-1-1-1-12-12-1-2-22-2-2-1-1-1-122-1-1-1-1-2-20000-2-200001-211111000221100011000000-1-100
χ3722-2-222-22-22-22-2-22-2-2222-2-2000002-200000000002i−2i002i−2i0000000000000000002i−2i02i−2i002-2000000
χ3822-2-222-22-22-22-2-22-2-2222-2-2000002-200000000002i−2i00−2i2i0000000000000000002i−2i0−2i2i00-22000000
χ3922-2-222-22-22-22-2-22-2-2222-2-2000002-20000000000−2i2i002i−2i000000000000000000−2i2i02i−2i00-22000000
χ4022-2-222-22-22-22-2-22-2-2222-2-2000002-20000000000−2i2i00−2i2i000000000000000000−2i2i0−2i2i002-2000000
χ4144444-2-4-44-2-24-24-2-2-2-22-42-400000220000000000004-40000-2-200000000000000002000000000000
χ4244444-2-4-44-2-24-24-2-2-2-22-42-40000022000000000000-440000220000000000000000-2000000000000
χ434444-24-4-4-244-24-2-2-2-2-2-42-420000022000000004-40000000000000000000000-22000000000000000
χ444444-24-4-4-244-24-2-2-2-2-2-42-42000002200000000-4400000000000000000000002-2000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-211-2110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-1000000000000-2-2112-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-100000000000022-1-1-2110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-2111100000000000022-1-12-1-10000000000000000000000
χ4944-4-4444-4-44-44-4-44-4-44-4-44400000-440000000000000000000000000000000000000000000000000
χ5044-4-44-24-4-4-2242-4-222-22-4-24000−2i32i32-20000000000000000000000000−2i32i30000000000000000000000
χ5144-4-44-24-4-4-2242-4-222-22-4-240002i3−2i32-200000000000000000000000002i3−2i30000000000000000000000
χ5244-4-44-2-44-4-2242-4-222-2-242-400000-2200000000004i−4i0000000000000000000000−2i2i0000000000000
χ5344-4-44-2-44-4-2242-4-222-2-242-400000-220000000000−4i4i00000000000000000000002i−2i0000000000000
χ5444-4-4-244-424-4-2-42-222-2-424-2000002-2−2i32i300−2i3−2i32i32i300000000000000000000000000000000000000000
χ5544-4-4-244-424-4-2-42-222-2-424-2000002-22i3−2i3002i32i3−2i3−2i300000000000000000000000000000000000000000
χ5644-4-4-24-4424-4-2-42-222-24-2-4200000-22000000000000004i−4i000000000000000000000−2i2i0000000000
χ5744-4-4-24-4424-4-2-42-222-24-2-4200000-2200000000000000−4i4i0000000000000000000002i−2i0000000000
χ5844-4-4-2-24-42-22-2221-1-1122-2-2000−2i32i3-11−2i32i300i3i3−i3−i3000000000000003-30i3−i30000000000000000000000
χ5944-4-4-2-24-42-22-2221-1-1122-2-2000−2i32i3-112i3−2i300−i3−i3i3i300000000000000-330i3−i30000000000000000000000
χ6044-4-4-2-24-42-22-2221-1-1122-2-20002i3−2i3-11−2i32i300i3i3−i3−i300000000000000-330−i3i30000000000000000000000
χ6144-4-4-2-24-42-22-2221-1-1122-2-20002i3−2i3-112i3−2i300−i3−i3i3i3000000000000003-30−i3i30000000000000000000000
χ624-44-444004-44-4-4-444-4-4000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ634-44-444004-44-4-4-444-4-40000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ644-44-44-20042-2-42-4-2-22200000000000006−66−66−600000000−2i22i2−2i32i30000000000000000000i2−i200000000
χ654-44-44-20042-2-42-4-2-22200000000000006−66−66−6000000002i2−2i22i3−2i30000000000000000000−i2i200000000
χ664-44-44-20042-2-42-4-2-2220000000000000−66−66−6600000000−2i22i22i3−2i30000000000000000000i2−i200000000
χ674-44-44-20042-2-42-4-2-2220000000000000−66−66−66000000002i2−2i2−2i32i30000000000000000000−i2i200000000
χ684-4-444400-4-4-4-4444-44-4000000000000000000000000000000000000004-400000000000000000000
χ694-4-444400-4-4-4-4444-44-400000000000000000000000000000000000000-4400000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4-4-884-44-4442-2-22-4-444000002-20000000000000000000000000000000000000000000000000
χ728-88-8-4800-4-884-84-4-444000000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400-44-444422-2-2000000000000026−26−66−6600000000000000000000000000000000000000000
χ748-88-8-4-400-44-444422-2-20000000000000−26266−66−600000000000000000000000000000000000000000
χ758-8-888-400-844-8-48-44-44000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-8-848-4-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-4004444-4-42-22-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ788-8-88-4-4004444-4-42-22-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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