Finite Group Databasebeta

← Group #63865

Character table — Group #63865

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1111222222222244444444444412121212121212121212121218181818
order1222334466666636661212121212121212444412121212121212122244
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ6111111-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1
χ7111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1
χ8111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ922222-1222-12-12-1-1-1-1-122-1-1-1-1-1-1020200-1-100-1-10000
χ1022222-1222-12-12-1-1-1-1-122-1-1-1-1-1-10-20-2001100110000
χ1122222-1-2-22-12-12-1-1-1-1-1-2-2111111020-200-1-100110000
χ1222222-1-2-22-12-12-1-1-1-1-1-2-21111110-202001100-1-10000
χ132222-1222-12-12-12-1-1-1-1-1-122-1-1-1-12020-1-100-1-1000000
χ142222-1222-12-12-12-1-1-1-1-1-122-1-1-1-1-20-20110011000000
χ152222-12-2-2-12-12-12-1-1-1-111-2-2111120-20-1-10011000000
χ162222-12-2-2-12-12-12-1-1-1-111-2-21111-20201100-1-1000000
χ1722-2-2220022-2-2-2-222-2-2000000000000000000002-200
χ1822-2-2220022-2-2-2-222-2-200000000000000000000-2200
χ192-22-2222i−2i-2-222-2-22-22-22i−2i2i−2i2i2i−2i−2i0000000000000000
χ202-22-222−2i2i-2-222-2-22-22-2−2i2i−2i2i−2i−2i2i2i0000000000000000
χ212-22-22-12i−2i-212-1-21-11-112i−2i−ii−i−iii000000−i3i3003−30000
χ222-22-22-12i−2i-212-1-21-11-112i−2i−ii−i−iii000000i3−i300−330000
χ232-22-22-1−2i2i-212-1-21-11-11−2i2ii−iii−i−i000000−i3i300−330000
χ242-22-22-1−2i2i-212-1-21-11-11−2i2ii−iii−i−i000000i3−i3003−30000
χ252-22-2-122i−2i1-2-121-2-11-11−ii2i−2i−i−iii0000−i3i3003−3000000
χ262-22-2-122i−2i1-2-121-2-11-11−ii2i−2i−i−iii0000i3−i300−33000000
χ272-22-2-12−2i2i1-2-121-2-11-11i−i−2i2iii−i−i0000−i3i300−33000000
χ282-22-2-12−2i2i1-2-121-2-11-11i−i−2i2iii−i−i0000i3−i3003−3000000
χ292-2-222200-2-2-2-2222-2-2200000000000000000000002-2
χ302-2-222200-2-2-2-2222-2-220000000000000000000000-22
χ314444-2-244-2-2-2-2-2-21111-2-2-2-211110000000000000000
χ324444-2-2-4-4-2-2-2-2-2-211112222-1-1-1-10000000000000000
χ3344-4-44-2004-2-42-42-2-222000000000000000000000000
χ3444-4-4-2400-242-42-4-2-222000000000000000000000000
χ3544-4-4-2-200-2-2222211-1-100003i−3i3i−3i0000000000000000
χ3644-4-4-2-200-2-2222211-1-10000−3i3i−3i3i0000000000000000
χ374-44-4-2-24i−4i22-2-2221-11-1−2i2i−2i2iii−i−i0000000000000000
χ384-44-4-2-2−4i4i22-2-2221-11-12i−2i2i−2i−i−iii0000000000000000
χ394-4-444-200-42-424-2-222-2000000000000000000000000
χ404-4-44-24002-42-4-24-222-2000000000000000000000000
χ414-4-44-2-2002222-2-21-1-1100003-3-330000000000000000
χ424-4-44-2-2002222-2-21-1-110000-333-30000000000000000

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