Finite Group Databasebeta

← Group #10591014

Character table — Group #10591014

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size112222222444444444488888888888121212122424242424242424242436363636
order122334466366612121212121268122424242424242424222426666681224242444
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-111-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-1111-11-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-11-1-1-1-1-1-1-1-11111-1111-1-1-11-1-111-1-1
χ611111111111111111111-11-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-1-1-111
χ711111111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111
χ811111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1
χ922222-2-2222222-2-2-2-2-2-220-2000000002-20002-200000000000
χ1022222-2-2222222-2-2-2-2-2-220-200000000-22000-2200000000000
χ112222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-10022200-1-1-10-1000000
χ122222-1222-1-12-1-1-12-1-1-12-12-122-1-1-1-1-1-100-2-2-20011101000000
χ132222-1222-1-12-1-1-12-1-1-12-1-2-1-2-21111110022-200-1110-1000000
χ142222-1222-1-12-1-1-12-1-1-12-1-2-1-2-211111100-2-22001-1-101000000
χ15222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-122000-1-100020-1-10000
χ16222-1222-12-1-12-12-12-1-1-1-12-1-1-122-1-1-1-1-2-200011000-20110000
χ17222-1222-12-1-12-12-12-1-1-1-1-2-111-2-2111122000-1-1000-20110000
χ18222-1222-12-1-12-12-12-1-1-1-1-2-111-2-21111-2-20001100020-1-10000
χ19222-12-2-2-12-1-12-1-21-2111-1013−30033−3−32-2000-11000003−30000
χ20222-12-2-2-12-1-12-1-21-2111-1013−30033−3−3-220001-100000−330000
χ21222-12-2-2-12-1-12-1-21-2111-101−3300−3−3332-2000-1100000−330000
χ22222-12-2-2-12-1-12-1-21-2111-101−3300−3−333-220001-1000003−30000
χ2322-2222-2222-2-22-22222-2-20-200000000002-20002000-2000000
χ2422-2222-2222-2-22-22222-2-20-20000000000-22000-20002000000
χ2522-222-22222-2-222-2-2-2-22-20200000000000000000000002-200
χ2622-222-22222-2-222-2-2-2-22-2020000000000000000000000-2200
χ2722-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i3002-2000-1−i3i301000000
χ2822-22-12-22-1-1-21-112-1-1-1-210100−i3i3−i3i3−i3i300-220001i3−i30-1000000
χ2922-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i3002-2000-1i3−i301000000
χ3022-22-12-22-1-1-21-112-1-1-1-210100i3−i3i3−i3i3−i300-220001−i3i30-1000000
χ314444-2-4-44-2-24-2-22-4222-4-20200000000000000000000000000
χ32444-2-244-2-21-2-21-2-2-211-2141-2-2-2-21111000000000000000000
χ33444-2-244-2-21-2-21-2-2-211-21-412222-1-1-1-1000000000000000000
χ34444-2-2-4-4-2-21-2-21222-1-1210-123−2300−3−333000000000000000000
χ35444-2-2-4-4-2-21-2-21222-1-1210-1−23230033−3−3000000000000000000
χ3644-44-2-444-2-2-42-2-2-4222420-200000000000000000000000000
χ3744-4-244-4-24-22-4-2-4-24-2-2220200000000000000000000000000
χ3844-4-24-44-24-22-4-242-422-220-200000000000000000000000000
χ3944-4-2-24-4-2-212212-2-2112-10-100−2i32i3i3−i3i3−i3000000000000000000
χ4044-4-2-24-4-2-212212-2-2112-10-1002i3−2i3−i3i3−i3i3000000000000000000
χ4144-4-2-2-44-2-21221-222-1-1-2-10100003i−3i−3i3i000000000000000000
χ4244-4-2-2-44-2-21221-222-1-1-2-1010000−3i3i3i−3i000000000000000000
χ434-404400-4-4400-40000000000000000000000000000000002-2
χ444-404400-4-4400-4000000000000000000000000000000000-22
χ458-808-400-84-400400000000000000000000000000000000000
χ468-80-48004-8-400400000000000000000000000000000000000
χ478-80-4-40044200-20006i−6i000000000000000000000000000000
χ488-80-4-40044200-2000−6i6i000000000000000000000000000000

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