Finite Group Databasebeta

← Group #11776584

Character table — Group #11776584

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222244444444444448888888888161616161616161618182424242424242424242424242424242424242424242424243636367272
order12223344446666663466612121212121212122212121212121212126666666622888888882424242424242424242424242424242444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ311111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1
χ511111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1
χ611111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-1-11-1
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-1-11-1
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-111-11
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-111-11
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-1-11
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-1-11
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1111-1
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1111-1
χ1722222222-2-22222222-222222-2-222-2-200-2-2-2-222-2-20000000022000000000000000000000000-22-200
χ1822222222-2-22222222-222222-2-222-2-200-2-2-2-222-2-200000000-2-20000000000000000000000002-2200
χ19222222-2-2222222222-2222-2-222-2-22200-2-2-2-2-2-2220000000022000000000000000000000000-2-2200
χ20222222-2-2222222222-2222-2-222-2-22200-2-2-2-2-2-22200000000-2-200000000000000000000000022-200
χ2122222-12222222-1-1-1-12-1-1-12-12-12-12-1222-1-1-1-1-1-1-12-12-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-100000
χ2222222-12222222-1-1-1-12-1-1-12-12-12-12-1222-1-1-1-1-1-1-12-12-1-1-1-1-1000000-2-2-2-2000000001111111100000
χ2322222-12222222-1-1-1-12-1-1-12-12-12-12-1-2-22-1-1-1-1-1-1-1-21-21111100000022-2-200000000-1-1-1-1111100000
χ2422222-12222222-1-1-1-12-1-1-12-12-12-12-1-2-22-1-1-1-1-1-1-1-21-211111000000-2-222000000001111-1-1-1-100000
χ2522222-1-2-2-2-2222-1-1-1-12-1-1-1-21-21-21-212-22-1-1-111112-1-21-1-1110000002i−2i2i−2i00000000−i−iii−i−iii00000
χ2622222-1-2-2-2-2222-1-1-1-12-1-1-1-21-21-21-212-22-1-1-111112-1-21-1-111000000−2i2i−2i2i00000000ii−i−iii−i−i00000
χ2722222-1-2-2-2-2222-1-1-1-12-1-1-1-21-21-21-21-222-1-1-11111-212-111-1-10000002i−2i−2i2i00000000−i−iiiii−i−i00000
χ2822222-1-2-2-2-2222-1-1-1-12-1-1-1-21-21-21-21-222-1-1-11111-212-111-1-1000000−2i2i2i−2i00000000ii−i−i−i−iii00000
χ292222-122222-1-1-1222-12-1-1-1-12-12-12-1222-12-1-1-1-1-1-1-12-12-1-1-1-10022220000-1-1-1-1-1-1-1-10000000000000
χ302222-122222-1-1-1222-12-1-1-1-12-12-12-1222-12-1-1-1-1-1-1-12-12-1-1-1-100-2-2-2-20000111111110000000000000
χ312222-122222-1-1-1222-12-1-1-1-12-12-12-12-2-2-12-1-1-1-1-1-11-21-211110022-2-20000-1-1-1-111110000000000000
χ322222-122222-1-1-1222-12-1-1-1-12-12-12-12-2-2-12-1-1-1-1-1-11-21-2111100-2-22200001111-1-1-1-10000000000000
χ332222-12-2-2-2-2-1-1-1222-12-1-1-11-21-21-21-22-2-12-1-11111-121-2-1-111002i−2i2i−2i0000−i−iii−i−iii0000000000000
χ342222-12-2-2-2-2-1-1-1222-12-1-1-11-21-21-21-22-2-12-1-11111-121-2-1-11100−2i2i−2i2i0000ii−i−iii−i−i0000000000000
χ352222-12-2-2-2-2-1-1-1222-12-1-1-11-21-21-21-2-22-12-1-111111-2-1211-1-1002i−2i−2i2i0000−i−iiiii−i−i0000000000000
χ362222-12-2-2-2-2-1-1-1222-12-1-1-11-21-21-21-2-22-12-1-111111-2-1211-1-100−2i2i2i−2i0000ii−i−i−i−iii0000000000000
χ3744444-244-4-4444-2-2-2-2-4-2-2-24-2-424-2-4200-4222-2-222000000000000000000000000000000000000000
χ3844444-2-4-444444-2-2-2-2-4-2-2-2-424-2-424-200-422222-2-2000000000000000000000000000000000000000
χ394444-2444-4-4-2-2-2444-2-4-2-2-2-242-4-242-4002-422-2-222000000000000000000000000000000000000000
χ404444-24-4-444-2-2-2444-2-4-2-2-22-4-242-4-24002-42222-2-2000000000000000000000000000000000000000
χ414444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2111111-2-2-2-211110000000000000000000000000000000
χ424444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-21111112222-1-1-1-10000000000000000000000000000000
χ434444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2220022-1-111-1-100003-33-30000000000000000000000000000000
χ444444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2220022-1-111-1-10000-33-330000000000000000000000000000000
χ454444-2-2-4-444-2-2-2-2-2-21-411122-2-222-2-20022-1-1-1-11100003-3-330000000000000000000000000000000
χ464444-2-2-4-444-2-2-2-2-2-21-411122-2-222-2-20022-1-1-1-1110000-333-30000000000000000000000000000000
χ474444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-211-1-1-1-1-2-22211-1-10000000000000000000000000000000
χ484444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-211-1-1-1-122-2-2-1-1110000000000000000000000000000000
χ4944-4-44400004-4-44-4-4404-4-4000000000000000000000000004-400000000000000000000000000000
χ5044-4-44400004-4-44-4-4404-4-400000000000000000000000000-4400000000000000000000000000000
χ514-44-444004-4-44-4-44-440-44-4004-400-44000000004-4000000000000000000000000000000000000000
χ524-44-44400-44-44-4-44-440-44-400-44004-400000000-44000000000000000000000000000000000000000
χ534-44-44-2004-4-44-42-22-202-22004200-4-200000000-2200000000000000000000000000i6−i6i6−i6000000000
χ544-44-44-2004-4-44-42-22-202-22004200-4-200000000-2200000000000000000000000000−i6i6−i6i6000000000
χ554-44-44-200-44-44-42-22-202-2200-4-20042000000002-2000000000000000000000000006−6−66000000000
χ564-44-44-200-44-44-42-22-202-2200-4-20042000000002-200000000000000000000000000−666−6000000000
χ574-44-4-24004-42-22-44-4-202-2200-2-4002400000000-220000000000000000006−66−600000000000000000
χ584-44-4-24004-42-22-44-4-202-2200-2-4002400000000-22000000000000000000−66−6600000000000000000
χ594-44-4-2400-442-22-44-4-202-22002400-2-4000000002-2000000000000000000i6−i6−i6i600000000000000000
χ604-44-4-2400-442-22-44-4-202-22002400-2-4000000002-2000000000000000000−i6i6i6−i600000000000000000
χ614-4-44444-400-4-44-4-4440-4-444-400-44000000004-400000000000000000000000000000000000000000
χ624-4-4444-4400-4-44-4-4440-4-44-44004-400000000-4400000000000000000000000000000000000000000
χ634-4-444-24-400-4-4422-2-2022-24200-4-200000000-2200000000000000000000000000000000i6−i6i6−i600000
χ644-4-444-24-400-4-4422-2-2022-24200-4-200000000-2200000000000000000000000000000000−i6i6−i6i600000
χ654-4-444-2-4400-4-4422-2-2022-2-4-20042000000002-2000000000000000000000000000000006−6−6600000
χ664-4-444-2-4400-4-4422-2-2022-2-4-20042000000002-200000000000000000000000000000000−666−600000
χ674-4-44-244-40022-2-4-44-2022-2-2-4002400000000-220000000000000000000000006−66−60000000000000
χ684-4-44-244-40022-2-4-44-2022-2-2-4002400000000-22000000000000000000000000−66−660000000000000
χ694-4-44-24-440022-2-4-44-2022-22400-2-4000000002-2000000000000000000000000i6−i6−i6i60000000000000
χ704-4-44-24-440022-2-4-44-2022-22400-2-4000000002-2000000000000000000000000−i6i6i6−i60000000000000
χ7188-8-88-400008-8-8-444-40-444000000000000000000000000000000000000000000000000000000000
χ7288-8-8-480000-4448-8-8-40-444000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-40000-444-444202-2-20000000000006-60000000000000000000000000000000000000000000
χ7488-8-8-4-40000-444-444202-2-2000000000000-660000000000000000000000000000000000000000000
χ758-88-8-4-4008-84-444-4420-22-200-44004-4000000002-2000000000000000000000000000000000000000
χ768-88-8-4-400-884-444-4420-22-2004-400-4400000000-22000000000000000000000000000000000000000
χ778-8-88-4-48-80044-444-420-2-22-44004-4000000002-200000000000000000000000000000000000000000
χ788-8-88-4-4-880044-444-420-2-224-400-4400000000-2200000000000000000000000000000000000000000

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