Finite Group Databasebeta

← Group #10591518

Character table — Group #10591518

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222224444444488888888888121212121212121212121212121212121818242424243672
order122233446666663666121212122666666661212444488882424242424242424221212121244
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
χ1122222-12222-1-12-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-100
χ1222222-12222-1-12-1-1-1-1-12-12-1222-1-1-1-1-1-1-1-100-2-200-2-20000111100001100
χ1322222-12222-1-12-1-1-1-1-12-12-1-2-2-2111111-1-1002200-2-2000011110000-1-100
χ1422222-12222-1-12-1-1-1-1-12-12-1-2-2-2111111-1-100-2-200220000-1-1-1-100001100
χ152222-1222-1-122-12-1-1-1-1-12-122-1-122-1-1-1-1-1-122002200-1-1-1-1000000-1-10000
χ162222-1222-1-122-12-1-1-1-1-12-122-1-122-1-1-1-1-1-1-2-200-2-2001111000000110000
χ172222-1222-1-122-12-1-1-1-1-12-12-211-2-21111-1-12200-2-2001111000000-1-10000
χ182222-1222-1-122-12-1-1-1-1-12-12-211-2-21111-1-1-2-2002200-1-1-1-1000000110000
χ192-22-222002-22-2-2-222-2-20000000000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-2000000
χ202-22-222002-22-2-2-222-2-20000000000000000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-22000000
χ212-22-222002-22-2-2-222-2-20000000000000000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-22000000
χ222-22-222002-22-2-2-222-2-20000000000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-2000000
χ232-2-22222-2-2-2-2-2222-2-222-2-220000000002-2002-200000000000000002-200
χ242-2-22222-2-2-2-2-2222-2-222-2-220000000002-200-220000000000000000-2200
χ252-2-2222-22-2-2-2-2222-2-22-222-2000000000-222-200000000000000002-20000
χ262-2-2222-22-2-2-2-2222-2-22-222-2000000000-22-220000000000000000-220000
χ272-2-222-12-2-2-2112-1-111-121-2-1000−i3i3−i3−i3i3i3-11002-200000000−i3i3−i3i30000-1100
χ282-2-222-12-2-2-2112-1-111-121-2-1000−i3i3−i3−i3i3i3-1100-2200000000i3−i3i3−i300001-100
χ292-2-222-12-2-2-2112-1-111-121-2-1000i3−i3i3i3−i3−i3-11002-200000000i3−i3i3−i30000-1100
χ302-2-222-12-2-2-2112-1-111-121-2-1000i3−i3i3i3−i3−i3-1100-2200000000−i3i3−i3i300001-100
χ312-2-22-12-2211-2-2-12-111-112-1-20−i3i300−i3i3−i3i31-12-2000000−i3i3−i3i3000000-110000
χ322-2-22-12-2211-2-2-12-111-112-1-20−i3i300−i3i3−i3i31-1-22000000i3−i3i3−i30000001-10000
χ332-2-22-12-2211-2-2-12-111-112-1-20i3−i300i3−i3i3−i31-12-2000000i3−i3i3−i3000000-110000
χ342-2-22-12-2211-2-2-12-111-112-1-20i3−i300i3−i3i3−i31-1-22000000−i3i3−i3i30000001-10000
χ3544444-2-4-444-2-24-2-2-2-2-2-42-4200000000022000000000000000000000000
χ364444-24-4-4-2-244-24-2-2-2-22-42-400000000022000000000000000000000000
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
χ4144-4-44400-44-44-4-44-44-4000000000000000000000000000000000000000
χ4244-4-44-200-442-2-42-22-220000000000000000000000000006−6−6600000000
χ4344-4-44-200-442-2-42-22-22000000000000000000000000000−666−600000000
χ4444-4-4-24002-2-442-4-22-22000000000000000000000006−6−66000000000000
χ4544-4-4-24002-2-442-4-22-2200000000000000000000000−666−6000000000000
χ464-44-44-2004-4-22-42-2-222000000000000000000000−2i22i20000i2i2−i2−i200000000
χ474-44-44-2004-4-22-42-2-2220000000000000000000002i2−2i20000−i2−i2i2i200000000
χ484-44-4-2400-224-42-4-2-2220000000000000000000−2i22i200i2i2−i2−i2000000000000
χ494-44-4-2400-224-42-4-2-22200000000000000000002i2−2i200−i2−i2i2i2000000000000
χ504-4-444-2-44-4-4224-2-222-2-4-2420000000002-2000000000000000000000000
χ514-4-44-244-422-4-4-24-222-2-2-424000000000-22000000000000000000000000
χ524-4-44-2-24-42222-2-21-1-11-222-2000−2i32i3i3i3−i3−i31-1000000000000000000000000
χ534-4-44-2-24-42222-2-21-1-11-222-20002i3−2i3−i3−i3i3i31-1000000000000000000000000
χ544-4-44-2-2-442222-2-21-1-112-2-220−2i32i300i3−i3i3−i3-11000000000000000000000000
χ554-4-44-2-2-442222-2-21-1-112-2-2202i3−2i300−i3i3−i3i3-11000000000000000000000000
χ5688-8-8-4-4004-44-4442-22-2000000000000000000000000000000000000000
χ578-88-8-4-400-44-444422-2-2000000000000000000000000000000000000000

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