Finite Group Databasebeta

← Group #10591434

Character table — Group #10591434

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222224444444488888888888121212121212121212121212121212121818242424243672
order1222334466666636661212121226666666612122244888824242424242424244466121244
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11-1
χ9222222-2-22222222222-2-2-2-2000000000-2-20000000000000000220000-20
χ10222222-2-22222222222-2-2-2-2000000000-2-20000000000000000-2-2000020
χ1122222-1222-1-12-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-122002200-1-1-1-1000000-1-10000
χ1222222-1222-1-12-12-1-1-1-12-12-1222-1-1-1-1-1-1-1-1-2-200-2-2001111000000110000
χ1322222-1222-1-12-12-1-1-1-12-12-1-2-2-2111111-1-12200-2-2001111000000-1-10000
χ1422222-1222-1-12-12-1-1-1-12-12-1-2-2-2111111-1-1-2-2002200-1-1-1-1000000110000
χ152222-1222-122-12-1-1-1-1-1-12-122-1-122-1-1-1-1-1-1002200220000-1-1-1-10000-1-100
χ162222-1222-122-12-1-1-1-1-1-12-122-1-122-1-1-1-1-1-100-2-200-2-20000111100001100
χ172222-1222-122-12-1-1-1-1-1-12-12-211-2-21111-1-1002200-2-2000011110000-1-100
χ182222-1222-122-12-1-1-1-1-1-12-12-211-2-21111-1-100-2-200220000-1-1-1-100001100
χ1922-2-2220022-2-2-2-222-2-200000000000000000002−2−i2i222−2−2−i2−i2i2i22i−2i000000
χ2022-2-2220022-2-2-2-222-2-200000000000000000002−2i2−i222−2−2i2i2−i2−i2−2i2i000000
χ2122-2-2220022-2-2-2-222-2-20000000000000000000−22−i2i2−2−222−i2−i2i2i2−2i2i000000
χ2222-2-2220022-2-2-2-222-2-20000000000000000000−22i2−i2−2−222i2i2−i2−i22i−2i000000
χ232-2-22222-2-2-2-222-22-2-2222-2-20000000002-2002i−2i00000000000000002i−2i00
χ242-2-22222-2-2-2-222-22-2-2222-2-20000000002-200−2i2i0000000000000000−2i2i00
χ252-2-2222-22-2-2-222-22-2-22-2-222000000000-222-200000000000000002-20000
χ262-2-2222-22-2-2-222-22-2-22-2-222000000000-22-220000000000000000-220000
χ272-2-222-1-22-2112-1-2-111-1-212-1000−i3i3−i3−i3i3i31-12-2000000−i3i3−i3i3000000-110000
χ282-2-222-1-22-2112-1-2-111-1-212-1000−i3i3−i3−i3i3i31-1-22000000i3−i3i3−i30000001-10000
χ292-2-222-1-22-2112-1-2-111-1-212-1000i3−i3i3i3−i3−i31-12-2000000i3−i3i3−i3000000-110000
χ302-2-222-1-22-2112-1-2-111-1-212-1000i3−i3i3i3−i3−i31-1-22000000−i3i3−i3i30000001-10000
χ312-2-22-122-21-2-2-121-111-1-121-20−i3i300−i3i3−i3i3-11002i−2i000000003−33−30000−ii00
χ322-2-22-122-21-2-2-121-111-1-121-20−i3i300−i3i3−i3i3-1100−2i2i00000000−33−330000i−i00
χ332-2-22-122-21-2-2-121-111-1-121-20i3−i300i3−i3i3−i3-11002i−2i00000000−33−330000−ii00
χ342-2-22-122-21-2-2-121-111-1-121-20i3−i300i3−i3i3−i3-1100−2i2i000000003−33−30000i−i00
χ3544444-2-4-44-2-24-24-2-2-2-2-42-4200000000022000000000000000000000000
χ364444-24-4-4-244-24-2-2-2-2-22-42-400000000022000000000000000000000000
χ374444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000000
χ384444-2-244-2-2-2-2-2-21111-2-2-2-2-42222-1-1-1-111000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-211112222000003-3-33-1-1000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-21111222200000-333-3-1-1000000000000000000000000
χ4144-4-44-2004-22-42-4-2-222000000000000000000022−2200−2−222000000000000
χ4244-4-44-2004-22-42-4-2-2220000000000000000000−22220022−2−2000000000000
χ4344-4-4-2400-24-42-42-2-222000000000000000000000−2i22i20000i2i2−i2−i200000000
χ4444-4-4-2400-24-42-42-2-2220000000000000000000002i2−2i20000−i2−i2i2i200000000
χ454-44-44400-4-44-4-444-44-4000000000000000000000000000000000000000
χ464-44-44-200-42-2-424-22-2200000000000000000000000i6−i6−i6i6000000000000
χ474-44-44-200-42-2-424-22-2200000000000000000000000−i6i6i6−i6000000000000
χ484-44-4-24002-442-4-2-22-22000000000000000000000000000i6−i6−i6i600000000
χ494-44-4-24002-442-4-2-22-22000000000000000000000000000−i6i6i6−i600000000
χ504-4-444-24-4-4224-2-4-222-24-2-42000000000-22000000000000000000000000
χ514-4-44-24-442-4-4-242-222-22-4-240000000002-2000000000000000000000000
χ524-4-44-2-24-4222-2-221-1-11-2-2220−2i32i300i3−i3i3−i31-1000000000000000000000000
χ534-4-44-2-24-4222-2-221-1-11-2-22202i3−2i300−i3i3−i3i31-1000000000000000000000000
χ544-4-44-2-2-44222-2-221-1-1122-2-2000−2i32i3i3i3−i3−i3-11000000000000000000000000
χ554-4-44-2-2-44222-2-221-1-1122-2-20002i3−2i3−i3−i3i3i3-11000000000000000000000000
χ5688-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000
χ578-88-8-4-40044-444-42-22-2000000000000000000000000000000000000000

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