Finite Group Databasebeta

← Group #10593404

Character table — Group #10593404

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111144444444488889999121212121212121224242424242424243636363636
order1222334666666121212122222224444446612121212121244444
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-111-1-111-1-111-1-111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-22202-2-2-22-200002-22-200000000000000000002i−2i
χ1222-2-22202-2-2-22-200002-22-20000000000000000000−2i2i
χ1322-2-22202-2-2-22-20000-22-22000000000000000002i−2i00
χ1422-2-22202-2-2-22-20000-22-2200000000000000000−2i2i00
χ152-22-2220-2-222-2-200002-2-2200002i−2i0000002i−2i0000000
χ162-22-2220-2-222-2-200002-2-220000−2i2i000000−2i2i0000000
χ172-22-2220-2-222-2-20000-222-20000002i−2i0000002i−2i00000
χ182-22-2220-2-222-2-20000-222-2000000−2i2i000000−2i2i00000
χ192-2-22220-22-2-2-22000022-2-2002i−2i0000002i−2i000000000
χ202-2-22220-22-2-2-22000022-2-200−2i2i000000−2i2i000000000
χ212-2-22220-22-2-2-220000-2-2222-20000002-200000000000
χ222-2-22220-22-2-2-220000-2-222-22000000-2200000000000
χ2344441-241-21-2-2111-2-20000000022220000-1-1-1-100000
χ2444441-241-21-2-2111-2-200000000-2-2-2-20000111100000
χ2544441-2-41-21-2-21-1-1220000000022-2-20000-1-11100000
χ2644441-2-41-21-2-21-1-12200000000-2-222000011-1-100000
χ274444-214-21-211-2-2-211000022220000-1-1-1-1000000000
χ284444-214-21-211-2-2-2110000-2-2-2-200001111000000000
χ294444-21-4-21-211-222-1-1000022-2-20000-1-111000000000
χ304444-21-4-21-211-222-1-10000-2-222000011-1-1000000000
χ314-44-41-20-121-22-13-300000000002i−2i2i−2i0000−ii−ii00000
χ324-44-41-20-121-22-13-30000000000−2i2i−2i2i0000i−ii−i00000
χ334-44-41-20-121-22-1-3300000000002i−2i−2i2i0000−iii−i00000
χ344-44-41-20-121-22-1-330000000000−2i2i2i−2i0000i−i−ii00000
χ354-4-44-210212-1-1-2003i−3i00002-22i−2i0000-11−ii000000000
χ364-4-44-210212-1-1-2003i−3i0000-22−2i2i00001-1i−i000000000
χ374-4-44-210212-1-1-200−3i3i00002-2−2i2i0000-11i−i000000000
χ384-4-44-210212-1-1-200−3i3i0000-222i−2i00001-1−ii000000000
χ3988-8-82-4024-24-4-200000000000000000000000000000
χ4088-8-8-420-4-24-22400000000000000000000000000000
χ418-88-8-4204-2-42-2400000000000000000000000000000
χ428-8-882-40-2-4-244200000000000000000000000000000

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