Finite Group Databasebeta

← Group #13148668

Character table — Group #13148668

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order1222344666246612121212336666664444366612121212224444444412121212666612121212121224444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-111-1-1-1-1-1-1-1-1111-1-11
χ411111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-111-1
χ51111111111-1-1-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ61111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-111111-1-111-1-1-1-111-111-1
χ81111111111-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-11-111-1-1-1-1111111-1-11-1-11
χ911111-1-11111-111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-1-1-111
χ1011111-1-11111-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-111-1-1111111-1-1
χ1111111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-1111111-1-1-1-111-1-1-11-11
χ1211111-1-11111-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-1111-11-1
χ1311111-1-1111-11-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111-1-111-11111-1-1-1-111-1-1-1-111-1-1
χ1411111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111-11-1-1111-1-1-1-1-1-1-1-11111-1-111
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1111111-1-111-1-11-11-1
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1111111-1-111-11-11
χ172222222222222222222-1-1-1222-10000-1-1-1-122-1-1222200000000002-1-1-1-12-1-1-1-100202000-1-100000000-1-1-100-1
χ182222222222222222222-1-1-1222-10000-1-1-1-122-1-1-2-2-2-200000000002-1-1-1-12-1-1-1-100-20-20001100000000111001
χ19222222222222222222-1222-1-1-120000-1-1-1-1-1-12200002200220000-12-1-12-1-1-1-1-100020200000000-1-1-1-1000-1-10
χ20222222222222222222-1222-1-1-120000-1-1-1-1-1-1220000-2-200-2-20000-12-1-12-1-1-1-1-1000-20-2000000001111000110
χ212222222222-2-2-2-222-2-22-1-1-1222-10000-1-1-1-122-1-122220000000000-21111-2-1-11100-20-2000-1-100000000-1-11001
χ222222222222-2-2-2-222-2-22-1-1-1222-10000-1-1-1-122-1-1-2-2-2-20000000000-21111-2-1-11100202000110000000011-100-1
χ232222222222-2-2-2-222-2-2-1222-1-1-120000-1-1-1-1-1-122000022002200001-211-21-1-111000-20-200000000-1-1-1-1000110
χ242222222222-2-2-2-222-2-2-1222-1-1-120000-1-1-1-1-1-1220000-2-200-2-200001-211-21-1-111000202000000001111000-1-10
χ2522222-2-22222-222-2-2-2-22-1-1-1222-10000-1-1-1-1-2-21122-2-200000000002-1-1-11-211110020-2000-1-10000000011100-1
χ2622222-2-22222-222-2-2-2-22-1-1-1222-10000-1-1-1-1-2-211-2-22200000000002-1-1-11-2111100-2020001100000000-1-1-1001
χ2722222-2-22222-222-2-2-2-2-1222-1-1-120000-1-1-1-111-2-200002200-2-20000-12-1-1-211111000-20200000000-1-1110001-10
χ2822222-2-22222-222-2-2-2-2-1222-1-1-120000-1-1-1-111-2-20000-2-200220000-12-1-1-21111100020-20000000011-1-1000-110
χ2922222-2-2222-22-2-2-2-2222-1-1-1222-10000-1-1-1-1-2-21122-2-20000000000-2111-1211-1-100-202000-1-10000000011-1001
χ3022222-2-2222-22-2-2-2-2222-1-1-1222-10000-1-1-1-1-2-211-2-2220000000000-2111-1211-1-10020-20001100000000-1-1100-1
χ3122222-2-2222-22-2-2-2-222-1222-1-1-120000-1-1-1-111-2-200002200-2-200001-2112-111-1-100020-200000000-1-111000-110
χ3222222-2-2222-22-2-2-2-222-1222-1-1-120000-1-1-1-111-2-20000-2-2002200001-2112-111-1-1000-2020000000011-1-10001-10
χ3322-2-22002-2-20000000022-2-22-2-222i2i−2i−2i2-22-200002-2002i−2i00002i2i−2i−2i0000000000000000002-200002i−2i00000000
χ3422-2-22002-2-20000000022-2-22-2-222i2i−2i−2i2-22-20000-2200−2i2i00002i2i−2i−2i000000000000000000-220000−2i2i00000000
χ3522-2-22002-2-20000000022-2-22-2-22−2i−2i2i2i2-22-200002-200−2i2i0000−2i−2i2i2i0000000000000000002-20000−2i2i00000000
χ3622-2-22002-2-20000000022-2-22-2-22−2i−2i2i2i2-22-20000-22002i−2i0000−2i−2i2i2i000000000000000000-2200002i−2i00000000
χ372-22-2200-2-2200000000222-2-22-2-22-22-22-2-220000002i−2i00002i−2i2-22-2000000000000000000000000002i−2i2i−2i0000
χ382-22-2200-2-2200000000222-2-22-2-22-22-22-2-22000000−2i2i0000−2i2i2-22-200000000000000000000000000−2i2i−2i2i0000
χ392-22-2200-2-2200000000222-2-22-2-2-22-222-2-220000002i−2i0000−2i2i-22-2200000000000000000000000000−2i2i2i−2i0000
χ402-22-2200-2-2200000000222-2-22-2-2-22-222-2-22000000−2i2i00002i−2i-22-22000000000000000000000000002i−2i−2i2i0000
χ412-2-2222i−2i-22-200002i−2i0022-22-2-22-22i−2i−2i2i22-2-22i−2i2i−2i0000002-2002i−2i−2i2i0000002i−2i0000000000002-2000000000000
χ422-2-2222i−2i-22-200002i−2i0022-22-2-22-2−2i2i2i−2i22-2-22i−2i2i−2i000000-2200−2i2i2i−2i0000002i−2i000000000000-22000000000000
χ432-2-222−2i2i-22-20000−2i2i0022-22-2-22-22i−2i−2i2i22-2-2−2i2i−2i2i000000-22002i−2i−2i2i000000−2i2i000000000000-22000000000000
χ442-2-222−2i2i-22-20000−2i2i0022-22-2-22-2−2i2i2i−2i22-2-2−2i2i−2i2i0000002-200−2i2i2i−2i000000−2i2i0000000000002-2000000000000
χ45444444444444444444-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000-2-211-2-21111000000000000000000000000
χ464444444444-4-4-4-444-4-4-2-2-2-2-2-2-2-200001111-2-2-2-20000000000000022-1-12211-1-1000000000000000000000000
χ4744444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-200001111222200000000000000-2-21122-1-1-1-1000000000000000000000000
χ4844444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-20000111122220000000000000022-1-1-2-2-1-111000000000000000000000000
χ4944-4-44004-4-4000000004-2224-4-4-20000-22-2200004-4000000000000000000000000000000-2200000000000000
χ5044-4-44004-4-4000000004-2224-4-4-20000-22-220000-440000000000000000000000000000002-200000000000000
χ5144-4-44004-4-400000000-24-4-4-22240000-22-22000000004i−4i00000000000000000000000000000000−2i2i00000000
χ5244-4-44004-4-400000000-24-4-4-22240000-22-2200000000−4i4i000000000000000000000000000000002i−2i00000000
χ534-44-4400-4-44000000004-2-22-44-420000-222-20000004i−4i00000000000000000000000000000000000000−2i2i0000
χ544-44-4400-4-44000000004-2-22-44-420000-222-2000000−4i4i000000000000000000000000000000000000002i−2i0000
χ554-44-4400-4-4400000000-244-42-22-40000-222-20000000000004i−4i000000000000000000000000000000−2i2i000000
χ564-44-4400-4-4400000000-244-42-22-40000-222-2000000000000−4i4i0000000000000000000000000000002i−2i000000
χ574-4-4444i−4i-44-400004i−4i004-22-2-4-4420000-2-2224i−4i−2i2i00000000000000000000−2i2i00000000000000000000000000
χ584-4-4444i−4i-44-400004i−4i00-24-4422-2-40000-2-222−2i2i4i−4i00000000000000000000−2i2i00000000000000000000000000
χ594-4-4444i−4i-44-400004i−4i00-2-22-222-22000011-1-1−2i2i−2i2i00000000000000003-300i−i3i−3i000000000000000000000000
χ604-4-4444i−4i-44-400004i−4i00-2-22-222-22000011-1-1−2i2i−2i2i0000000000000000-3300i−i−3i3i000000000000000000000000
χ614-4-444−4i4i-44-40000−4i4i004-22-2-4-4420000-2-222−4i4i2i−2i000000000000000000002i−2i00000000000000000000000000
χ624-4-444−4i4i-44-40000−4i4i00-24-4422-2-40000-2-2222i−2i−4i4i000000000000000000002i−2i00000000000000000000000000
χ634-4-444−4i4i-44-40000−4i4i00-2-22-222-22000011-1-12i−2i2i−2i00000000000000003-300−ii−3i3i000000000000000000000000
χ644-4-444−4i4i-44-40000−4i4i00-2-22-222-22000011-1-12i−2i2i−2i0000000000000000-3300−ii3i−3i000000000000000000000000
χ656666-366-3-3-366-3-3-3-3-3-3000000002222000000000000002200-1-1-1-10000000000220000-1-100-1-1-1-10000000000
χ666666-366-3-3-366-3-3-3-3-3-300000000-2-2-2-200000000000000-2-20011110000000000-2-20000110011110000000000
χ676666-366-3-3-3-6-633-3-333000000002222000000000000002200-1-1-1-10000000000-2-200001100-1-1110000000000
χ686666-366-3-3-3-6-633-3-33300000000-2-2-2-200000000000000-2-20011110000000000220000-1-10011-1-10000000000
χ696666-3-6-6-3-3-36-6-3-3333300000000222200000000000000-2-200-1-1-1-10000000000-220000110011-1-10000000000
χ706666-3-6-6-3-3-36-6-3-3333300000000-2-2-2-2000000000000002200111100000000002-20000-1-100-1-1110000000000
χ716666-3-6-6-3-3-3-663333-3-300000000222200000000000000-2-200-1-1-1-100000000002-20000-1-10011110000000000
χ726666-3-6-6-3-3-3-663333-3-300000000-2-2-2-200000000000000220011110000000000-2200001100-1-1-1-10000000000
χ736-6-66-36i−6i3-3300−3i33i3−3i3i33−33000000002i−2i−2i2i000000000000002-200−iii−i0000000000000000−i3i300-113−30000000000
χ746-6-66-36i−6i3-3300−3i33i3−3i3i33−3300000000−2i2i2i−2i00000000000000-2200i−i−ii0000000000000000i3−i3001-1−330000000000
χ756-6-66-36i−6i3-33003i3−3i3−3i3i−3333000000002i−2i−2i2i000000000000002-200−iii−i0000000000000000i3−i300-11−330000000000
χ766-6-66-36i−6i3-33003i3−3i3−3i3i−333300000000−2i2i2i−2i00000000000000-2200i−i−ii0000000000000000−i3i3001-13−30000000000
χ776-6-66-3−6i6i3-3300−3i33i33i−3i−3333000000002i−2i−2i2i00000000000000-2200−iii−i0000000000000000i3−i3001-13−30000000000
χ786-6-66-3−6i6i3-3300−3i33i33i−3i−333300000000−2i2i2i−2i000000000000002-200i−i−ii0000000000000000−i3i300-11−330000000000
χ796-6-66-3−6i6i3-33003i3−3i33i−3i33−33000000002i−2i−2i2i00000000000000-2200−iii−i0000000000000000−i3i3001-1−330000000000
χ806-6-66-3−6i6i3-33003i3−3i33i−3i33−3300000000−2i2i2i−2i000000000000002-200i−i−ii0000000000000000i3−i300-113−30000000000
χ8188-8-88008-8-800000000-4-444-444-400002-22-20000000000000000000000000000000000000000000000000000
χ828-88-8800-8-8800000000-4-4-444-44400002-2-220000000000000000000000000000000000000000000000000000
χ831212-12-12-600-66600000000000000004i4i−4i−4i000000000000000000−2i−2i2i2i0000000000000000000000000000000000
χ841212-12-12-600-6660000000000000000−4i−4i4i4i0000000000000000002i2i−2i−2i0000000000000000000000000000000000
χ8512-1212-12-60066-600000000000000004-44-4000000000000000000-22-220000000000000000000000000000000000
χ8612-1212-12-60066-60000000000000000-44-440000000000000000002-22-20000000000000000000000000000000000

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