Finite Group Databasebeta

← Group #10591580

Character table — Group #10591580

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222224444444488888888888121212121212121212121212121212121818242424243672
order12223344666666366612121212412121212121212121212444488882424242424242424441212121244
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
χ51111111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1
χ9222222-2-22222222222-2-2-2-200000-2-200000000000000000000220000-20
χ10222222-2-22222222222-2-2-2-200000-2-200000000000000000000-2-2000020
χ1122222-12222-1-1-12-1-1-1-1-12-122-1-122-1-1-1-1-1-122002200-1-1-1-1000000-1-10000
χ1222222-12222-1-1-12-1-1-1-1-12-122-1-122-1-1-1-1-1-1-2-200-2-2001111000000110000
χ1322222-12222-1-1-12-1-1-1-1-12-12-211-2-2-1-111112200-2-2001111000000-1-10000
χ1422222-12222-1-1-12-1-1-1-1-12-12-211-2-2-1-11111-2-2002200-1-1-1-1000000110000
χ152222-1222-1-1222-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-100
χ162222-1222-1-1222-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-100-2-200-2-20000111100001100
χ172222-1222-1-1222-1-1-1-1-12-12-1-2-2-211-1-11111002200-2-2000011110000-1-100
χ182222-1222-1-1222-1-1-1-1-12-12-1-2-2-211-1-1111100-2-200220000-1-1-1-100001100
χ1922-2-222002-22-2-2-222-2-200000000000000000002−22−222−2−222−2−22-2000000
χ2022-2-222002-22-2-2-222-2-200000000000000000002−2−2222−2−2−2−222-22000000
χ2122-2-222002-22-2-2-222-2-20000000000000000000−222−2−2−22222−2−2-22000000
χ2222-2-222002-22-2-2-222-2-20000000000000000000−22−22−2−222−2−2222-2000000
χ232-2-22222-2-2-2-22-222-2-2222-2-2000002-200002i−2i00000000000000002i−2i0000
χ242-2-22222-2-2-2-22-222-2-2222-2-2000002-20000−2i2i0000000000000000−2i2i0000
χ252-2-2222-22-2-2-22-222-2-22-2-22200000-220000002-200000000000000002-200
χ262-2-2222-22-2-2-22-222-2-22-2-22200000-22000000-220000000000000000-2200
χ272-2-222-12-2-2-21-112-111-1-121-20−i3i300-11−i3−i3i3i32i−2i0000003−33−3000000−ii0000
χ282-2-222-12-2-2-21-112-111-1-121-20−i3i300-11−i3−i3i3i3−2i2i000000−33−33000000i−i0000
χ292-2-222-12-2-2-21-112-111-1-121-20i3−i300-11i3i3−i3−i32i−2i000000−33−33000000−ii0000
χ302-2-222-12-2-2-21-112-111-1-121-20i3−i300-11i3i3−i3−i3−2i2i0000003−33−3000000i−i0000
χ312-2-22-12-2211-22-2-1-111-1-212-1000−i3i31-1−i3i3−i3i3002-200000000−i3i3−i3i30000-1100
χ322-2-22-12-2211-22-2-1-111-1-212-1000−i3i31-1−i3i3−i3i300-2200000000i3−i3i3−i300001-100
χ332-2-22-12-2211-22-2-1-111-1-212-1000i3−i31-1i3−i3i3−i3002-200000000i3−i3i3−i30000-1100
χ342-2-22-12-2211-22-2-1-111-1-212-1000i3−i31-1i3−i3i3−i300-2200000000−i3i3−i3i300001-100
χ3544444-2-4-444-2-2-24-2-2-2-22-42-400000220000000000000000000000000000
χ364444-24-4-4-2-2444-2-2-2-2-2-42-4200000220000000000000000000000000000
χ374444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000000
χ384444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-1000000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-21111222200000-1-13-3-33000000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-21111222200000-1-1-333-3000000000000000000000000
χ4144-4-44-2004-4-222-4-2-222000000000000000000022−2200−2−222000000000000
χ4244-4-44-2004-4-222-4-2-2220000000000000000000−22220022−2−2000000000000
χ4344-4-4-2400-224-4-42-2-22200000000000000000000022−220000−2−22200000000
χ4444-4-4-2400-224-4-42-2-222000000000000000000000−2222000022−2−200000000
χ454-44-44400-44-4-44-44-44-4000000000000000000000000000000000000000
χ464-44-44-200-4422-2-4-22-22000000000000000000000006−6−66000000000000
χ474-44-44-200-4422-2-4-22-2200000000000000000000000−666−6000000000000
χ484-44-4-24002-2-4-442-22-22000000000000000000000000000i6−i6−i6i600000000
χ494-44-4-24002-2-4-442-22-22000000000000000000000000000−i6i6i6−i600000000
χ504-4-444-2-44-4-42-224-222-22-4-24000002-20000000000000000000000000000
χ514-4-44-244-422-44-4-2-222-24-2-4200000-220000000000000000000000000000
χ524-4-44-2-24-4222-22-21-1-11-2-2220−2i32i3001-1i3i3−i3−i3000000000000000000000000
χ534-4-44-2-24-4222-22-21-1-11-2-22202i3−2i3001-1−i3−i3i3i3000000000000000000000000
χ544-4-44-2-2-44222-22-21-1-1122-2-2000−2i32i3-11i3−i3i3−i3000000000000000000000000
χ554-4-44-2-2-44222-22-21-1-1122-2-20002i3−2i3-11−i3i3−i3i3000000000000000000000000
χ5688-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000
χ578-88-8-4-4004-444-442-22-2000000000000000000000000000000000000000

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