Finite Group Databasebeta

← Group #13148581

Character table — Group #13148581

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222224444444466666666121212121212121218181818181818182424242424242424242436363636363636363636363636363636363636363636363672727272
order1222344666246612121212336666663666121212124444121212126666121212121212224444444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-11-11-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-11-11
χ51111111111-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11-11-1111111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1111-1-1111-1-1-1-1111111-1-1-11-11
χ81111111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-11-111-1-1-111-1-11111-1-1111-11-1
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111-111-111-1-11111-1-1-1-111-111-1
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-111-1-11-1-1111111-1-111-1-11-1-11
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-111
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-11-11-1-1-1-1-1-1-1-1-111111111-1-1
χ1311111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-11111-1-111-1-111-1-1111-1-11
χ1411111-1-1111-11-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-111-11-111-1-1-1-11111-1-11111-1-1-111-1
χ1511111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1
χ1611111-1-1111-11-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-111-1-11111-1-111
χ172222222222222222222-12-12-12-1-1-1-1-122-1-1000000002-1-1-12-1-1-1-1-1020020002200-1-100000000-1-10-10-1
χ182222222222222222222-12-12-12-1-1-1-1-122-1-1000000002-1-1-12-1-1-1-1-10-200-2000-2-2001100000000110101
χ19222222222222222222-12-12-12-12-1-1-1-1-1-12200000000-12-1-1-12-1-1-1-12002002200-1-100000000-1-100-10-10
χ20222222222222222222-12-12-12-12-1-1-1-1-1-12200000000-12-1-1-12-1-1-1-1-200-200-2-200110000000011001010
χ212222222222-2-2-2-222-2-22-12-12-12-1-1-1-1-122-1-100000000-2111-21-1-1110200-20002-200-1-100000000-1-10101
χ222222222222-2-2-2-222-2-22-12-12-12-1-1-1-1-122-1-100000000-2111-21-1-1110-2002000-22001100000000110-10-1
χ232222222222-2-2-2-222-2-2-12-12-12-12-1-1-1-1-1-122000000001-2111-2-1-111200-2002-200-1-100000000-1-1001010
χ242222222222-2-2-2-222-2-2-12-12-12-12-1-1-1-1-1-122000000001-2111-2-1-111-200200-220011000000001100-10-10
χ2522222-2-22222-222-2-2-2-22-12-12-12-1-1-1-1-1-2-211000000002-1-1-1-2111110200-2000-2200-1-10000000011010-1
χ2622222-2-22222-222-2-2-2-22-12-12-12-1-1-1-1-1-2-211000000002-1-1-1-2111110-20020002-2001100000000-1-10-101
χ2722222-2-22222-222-2-2-2-2-12-12-12-12-1-1-1-111-2-200000000-12-1-11-21111200-200-2200-1-100000000110010-10
χ2822222-2-22222-222-2-2-2-2-12-12-12-12-1-1-1-111-2-200000000-12-1-11-21111-2002002-2001100000000-1-100-1010
χ2922222-2-2222-22-2-2-2-2222-12-12-12-1-1-1-1-1-2-21100000000-21112-111-1-102002000-2-200-1-100000000110-101
χ3022222-2-2222-22-2-2-2-2222-12-12-12-1-1-1-1-1-2-21100000000-21112-111-1-10-200-200022001100000000-1-1010-1
χ3122222-2-2222-22-2-2-2-222-12-12-12-12-1-1-1-111-2-2000000001-211-1211-1-1200200-2-200-1-1000000001100-1010
χ3222222-2-2222-22-2-2-2-222-12-12-12-12-1-1-1-111-2-2000000001-211-1211-1-1-200-20022001100000000-1-10010-10
χ332-22-222i−2i-2-2200002i−2i0022-2-222-2-222-2-22i−2i2i−2i2i−2i2-222-2-20000002i−2i00000000000000002i−2i000000000000
χ342-22-222i−2i-2-2200002i−2i0022-2-222-2-222-2-22i−2i2i−2i−2i2i-22-2-2220000002i−2i0000000000000000−2i2i000000000000
χ352-22-22−2i2i-2-220000−2i2i0022-2-222-2-222-2-2−2i2i−2i2i2i−2i-22-2-222000000−2i2i00000000000000002i−2i000000000000
χ362-22-22−2i2i-2-220000−2i2i0022-2-222-2-222-2-2−2i2i−2i2i−2i2i2-222-2-2000000−2i2i0000000000000000−2i2i000000000000
χ37444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000-2-211-2-211110000000000000000000000000000
χ384444444444-4-4-4-444-4-4-2-2-2-2-2-2-2-21111-2-2-2-20000000022-1-12211-1-10000000000000000000000000000
χ3944444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-21111222200000000-2-21122-1-1-1-10000000000000000000000000000
χ4044444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-2111122220000000022-1-1-2-2-1-1110000000000000000000000000000
χ4144-4-44004-4-4000000004444-4-4-4-44-44-400000000000000000000000000000000000000000000000000
χ4244-4-44004-4-4000000004-24-2-42-42-22-220000000000000000000000000000000000000000000023−230000
χ4344-4-44004-4-4000000004-24-2-42-42-22-2200000000000000000000000000000000000000000000−23230000
χ4444-4-44004-4-400000000-24-242-42-4-22-2200000000000000000000000000000000000000000023−23000000
χ4544-4-44004-4-400000000-24-242-42-4-22-22000000000000000000000000000000000000000000−2323000000
χ464-44-444i−4i-4-4400004i−4i004-2-424-2-42-2-2224i−4i−2i2i00000000000000−2i2i000000000000000000000000000000
χ474-44-444i−4i-4-4400004i−4i00-242-4-242-4-2-222−2i2i4i−4i00000000000000−2i2i000000000000000000000000000000
χ484-44-444i−4i-4-4400004i−4i00-2-222-2-22211-1-1−2i2i−2i2i00000000003-300i−i3i−3i0000000000000000000000000000
χ494-44-444i−4i-4-4400004i−4i00-2-222-2-22211-1-1−2i2i−2i2i0000000000-3300i−i−3i3i0000000000000000000000000000
χ504-44-44−4i4i-4-440000−4i4i004-2-424-2-42-2-222−4i4i2i−2i000000000000002i−2i000000000000000000000000000000
χ514-44-44−4i4i-4-440000−4i4i00-242-4-242-4-2-2222i−2i−4i4i000000000000002i−2i000000000000000000000000000000
χ524-44-44−4i4i-4-440000−4i4i00-2-222-2-22211-1-12i−2i2i−2i00000000003-300−ii−3i3i0000000000000000000000000000
χ534-44-44−4i4i-4-440000−4i4i00-2-222-2-22211-1-12i−2i2i−2i0000000000-3300−ii3i−3i0000000000000000000000000000
χ544-4-44400-44-40000000044-4-4-4-4444-4-4400000000000000000000000000000000000000000000000000
χ554-4-44400-44-4000000004-2-42-424-2-222-20000000000000000000000000000000000−2i32i300000000000000
χ564-4-44400-44-4000000004-2-42-424-2-222-200000000000000000000000000000000002i3−2i300000000000000
χ574-4-44400-44-400000000-242-42-4-24-222-200000000000000000000000000000000−2i32i30000000000000000
χ584-4-44400-44-400000000-242-42-4-24-222-2000000000000000000000000000000002i3−2i30000000000000000
χ596666-366-3-3-366-3-3-3-3-3-300000000000000002222-1-1-1-1000000000000200200000000-1-1-1-1-1-100000000
χ606666-366-3-3-366-3-3-3-3-3-30000000000000000-2-2-2-21111000000000000-200-20000000011111100000000
χ616666-366-3-3-3-6-633-3-33300000000000000002222-1-1-1-1000000000000-200-200000000-1-1111100000000
χ626666-366-3-3-3-6-633-3-3330000000000000000-2-2-2-2111100000000000020020000000011-1-1-1-100000000
χ636666-3-6-6-3-3-36-6-3-33333000000000000000022-2-21111000000000000-200200000000-1-1-1-11100000000
χ646666-3-6-6-3-3-36-6-3-333330000000000000000-2-222-1-1-1-1000000000000200-2000000001111-1-100000000
χ656666-3-6-6-3-3-3-663333-3-3000000000000000022-2-21111000000000000200-200000000-1-111-1-100000000
χ666666-3-6-6-3-3-3-663333-3-30000000000000000-2-222-1-1-1-1000000000000-20020000000011-1-11100000000
χ676-66-6-36i−6i33-300−3i33i3−3i3i33−3300000000000000002i−2i2-2-1-111000000000000000000000000−ii3−3−i3i300000000
χ686-66-6-36i−6i33-300−3i33i3−3i3i33−330000000000000000−2i2i-2211-1-1000000000000000000000000i−i−33i3−i300000000
χ696-66-6-36i−6i33-3003i3−3i3−3i3i−333300000000000000002i−2i2-2-1-111000000000000000000000000−ii−33i3−i300000000
χ706-66-6-36i−6i33-3003i3−3i3−3i3i−33330000000000000000−2i2i-2211-1-1000000000000000000000000i−i3−3−i3i300000000
χ716-66-6-3−6i6i33-300−3i33i33i−3i−333300000000000000002i−2i-2211-1-1000000000000000000000000−ii3−3i3−i300000000
χ726-66-6-3−6i6i33-300−3i33i33i−3i−33330000000000000000−2i2i2-2-1-111000000000000000000000000i−i−33−i3i300000000
χ736-66-6-3−6i6i33-3003i3−3i33i−3i33−3300000000000000002i−2i-2211-1-1000000000000000000000000−ii−33−i3i300000000
χ746-66-6-3−6i6i33-3003i3−3i33i−3i33−330000000000000000−2i2i2-2-1-111000000000000000000000000i−i3−3i3−i300000000
χ7588-8-88008-8-800000000-4-4-4-444442-22-200000000000000000000000000000000000000000000000000
χ768-8-88800-88-800000000-4-44444-4-42-2-2200000000000000000000000000000000000000000000000000
χ771212-12-12-600-666000000000000000000000000000023−2323−2300000000000000000000000000000000000000
χ781212-12-12-600-6660000000000000000000000000000−2323−232300000000000000000000000000000000000000
χ7912-12-1212-6006-66000000000000000000000000000023−23−232300000000000000000000000000000000000000
χ8012-12-1212-6006-660000000000000000000000000000−232323−2300000000000000000000000000000000000000

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