Finite Group Databasebeta

← Group #72260674

Character table — Group #72260674

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112334468121212122424242424244848484848484848484848489696969696128128128128128128128128192192192192
order1222244242244222444222444444444444443666121212124488
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-1
χ311111-1-11-111-1-1111-111-11-11-11-1-11-1-1-1111-1-11111-1-1-1-11-11-1
χ411111-1-11-111-1-1111-111-1-11-11-11-1-11-1-11-1-1111111-1-1-1-1-11-11
χ5222222222222222222220000002002220000-1-1-1-1-1-1-1-10000
χ622222-2-22-222-2-2222-222-2000000-200-2-220000-1-1-1-111110000
χ733333333333333-1-13-1-1-1111111-111-1-1-1111100000000-1-1-1-1
χ833333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111
χ9333333333-1-1-1-1-133-1-1-1-1111111311-1-1-1-1-1-1-10000000011-1-1
χ10333333333-1-1-1-1-133-1-1-1-1-1-1-1-1-1-13-1-1-1-1-1111100000000-1-111
χ11333333333-1-1-1-1-1-1-1-1333111111-111-1-1-1-1-1-1-100000000-1-111
χ12333333333-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-111110000000011-1-1
χ1333333-3-33-333-3-33-1-1-3-1-111-11-11-111-111-111-1-100000000-11-11
χ1433333-3-33-333-3-33-1-1-3-1-11-11-11-111-1111-1-1-111000000001-11-1
χ1533333-3-33-3-1-111-1331-1-111-11-11-1-31-111-1-1-111000000001-1-11
χ1633333-3-33-3-1-111-1331-1-11-11-11-11-3-1111-111-1-100000000-111-1
χ1733333-3-33-3-1-111-1-1-1133-31-11-11-111-111-1-1-11100000000-111-1
χ1833333-3-33-3-1-111-1-1-1133-3-11-11-111-1111-111-1-1000000001-1-11
χ1944-44444-4-4000000000002-2-222-20-2200000001-1-1111-1-10000
χ2044-44444-4-400000000000-222-2-2202-200000001-1-1111-1-10000
χ2144-444-4-4-440000000000022-2-2220-2-200000001-1-11-1-1110000
χ2244-444-4-4-4400000000000-2-222-2-202200000001-1-11-1-1110000
χ23666666666-2-2-2-2-2-2-2-2-2-2-2000000-2002220000000000000000
χ2466666-6-66-6-2-222-2-2-22-2-22000000200-2-220000000000000000
χ2566-6-2-20020224-4-22-202-20020-20-20022-202-200000000000000
χ2666-6-2-20020224-4-22-202-200-2020200-22-20-2200000000000000
χ2766-6-2-20020224-4-2-220-22020-20-20020-220002-2000000000000
χ2866-6-2-20020224-4-2-220-220-2020200-20-22000-22000000000000
χ2966-6-2-2002022-44-22-202-20020-20-2002-220-2200000000000000
χ3066-6-2-2002022-44-22-202-200-2020200-2-2202-200000000000000
χ3166-6-2-2002022-44-2-220-22020-20-200202-2000-22000000000000
χ3266-6-2-2002022-44-2-220-220-2020200-202-20002-2000000000000
χ3388-88888-8-8000000000000000000000000000-111-1-1-1110000
χ3488-888-8-8-88000000000000000000000000000-111-111-1-10000
χ358-808-88i−8i00000000000000000000000000000200-22i−2i000000
χ368-808-88i−8i00000000000000000000000000000-1−i3i31−ii3−30000
χ378-808-88i−8i00000000000000000000000000000-1i3−i31−ii−330000
χ388-808-8−8i8i00000000000000000000000000000200-2−2i2i000000
χ398-808-8−8i8i00000000000000000000000000000-1−i3i31i−i−330000
χ408-808-8−8i8i00000000000000000000000000000-1i3−i31i−i3−30000
χ41121212-4-400-400044000-40002222-2-20-2-20000000000000000000
χ42121212-4-400-400044000-4000-2-2-2-2220220000000000000000000
χ43121212-4-400-4000-4-400040002-22-2-220-220000000000000000000
χ44121212-4-400-4000-4-40004000-22-222-202-20000000000000000000
χ451212-12-4-40040-4-40044-40-4400000000000000000000000000000
χ461212-12-4-40040-4-4004-4404-400000000000000000000000000000
χ4724-240-8800008-80000000000000000000000000000000000000
χ4824-240-880000-880000000000000000000000000000000000000

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