Finite Group Databasebeta

← Group #10593401

Character table — Group #10593401

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111144444444488889999121212121212121224242424242424243636363636
order12223346666661212121222222222444466661212121244444
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
χ1122-2-222022-2-2-2-200002-22-200000000000000000002i−2i
χ1222-2-222022-2-2-2-200002-22-20000000000000000000−2i2i
χ1322-2-222022-2-2-2-20000-22-22000000000000000002i−2i00
χ1422-2-222022-2-2-2-20000-22-2200000000000000000−2i2i00
χ152-22-2220-2-22-22-2000022-2-20000002i−2i0000002i−2i00000
χ162-22-2220-2-22-22-2000022-2-2000000−2i2i000000−2i2i00000
χ172-22-2220-2-22-22-20000-2-22200002-20000002-20000000
χ182-22-2220-2-22-22-20000-2-2220000-22000000-220000000
χ192-2-22220-2-2-22-2200002-2-222-20000002-200000000000
χ202-2-22220-2-2-22-2200002-2-22-22000000-2200000000000
χ212-2-22220-2-2-22-220000-222-2002-20000002-2000000000
χ222-2-22220-2-2-22-220000-222-200-22000000-22000000000
χ2344441-241-2-2-211-2-2110000000022220000-1-1-1-100000
χ2444441-241-2-2-211-2-21100000000-2-2-2-20000111100000
χ2544441-2-41-2-2-21122-1-10000000022-2-20000-1-11100000
χ2644441-2-41-2-2-21122-1-100000000-2-222000011-1-100000
χ274444-214-2111-2-211-2-2000022220000-1-1-1-1000000000
χ284444-214-2111-2-211-2-20000-2-2-2-200001111000000000
χ294444-21-4-2111-2-2-1-122000022-2-20000-1-111000000000
χ304444-21-4-2111-2-2-1-1220000-2-222000011-1-1000000000
χ314-44-41-20-12-221-1003i−3i000000002-22i−2i0000-11−ii00000
χ324-44-41-20-12-221-1003i−3i00000000-22−2i2i00001-1i−i00000
χ334-44-41-20-12-221-100−3i3i000000002-2−2i2i0000-11i−i00000
χ344-44-41-20-12-221-100−3i3i00000000-222i−2i00001-1−ii00000
χ354-4-44-2102-1-112-23-30000002-22-20000-11-11000000000
χ364-4-44-2102-1-112-23-3000000-22-2200001-11-1000000000
χ374-4-44-2102-1-112-2-330000002-2-220000-111-1000000000
χ384-4-44-2102-1-112-2-33000000-222-200001-1-11000000000
χ3988-8-82-402-444-2-200000000000000000000000000000
χ4088-8-8-420-42-2-24400000000000000000000000000000
χ418-88-8-4204-22-2-4400000000000000000000000000000
χ428-8-882-40-244-4-2200000000000000000000000000000

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