Finite Group Databasebeta

← Group #13149528

Character table — Group #13149528

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order1222344666441212121212123366666644443666121212122244444444121212121212121212121212121222444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11-111-1-1-1-1-1-1-1-111-1-1-111-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111111111-11-1-1-11-1-1-1-1-1-1-1-111-1-1111-1-11
χ51111111111-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ61111111111-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-111111-1-111-1-111-1-11-1-11
χ81111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111-1-11111-1-111-111-1
χ911111-1-11111-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1111111-11-11-1-1-1-1111-1-11-1111-1-1-1-111-1-1-1-111-11-11
χ1011111-1-11111-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-111-1-11111-11-11-1-1-1-111-11-111-1-1-1-1-1-1-1111111-1-11-11-1
χ1111111-1-11111-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-1111111-1-111-1-1-1-111-1-1
χ1211111-1-11111-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-11-11-1-1-1-111-1-11-111-1-11111-1-1-1-11111-1-111
χ1311111-1-1111-11-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111111-11-111-1-1-1-1-111-11-11111-1-1-1-1-1-1-1-1111-11-1
χ1411111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111111-11-111-1-1-1-11-11-1-11-1-111-1-1-1-11111-1-1-11-11
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-111
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11-11-111-1-1-1-111-11-1-1-1-1-1-11111-1-1111111-1-1
χ172222222222222222222-1-12-12-120000-1-1-1-122-1-122220000000000-122-1-1-1-1-1-1-1200020-1-100000000-1-1000-1-10
χ182222222222222222222-1-12-12-120000-1-1-1-122-1-1-2-2-2-20000000000-122-1-1-1-1-1-1-1-2000-20110000000011000110
χ19222222222222222222-122-12-12-10000-1-1-1-1-1-122000000222200002-1-12-1-1-1-1-1-102000200000000-1-100-1-1-100-1
χ20222222222222222222-122-12-12-10000-1-1-1-1-1-122000000-2-2-2-200002-1-12-1-1-1-1-1-10-2000-2000000001100111001
χ212222222222-2-222-2-2-2-22-1-12-12-120000-1-1-1-122-1-1222200000000001-2-2111-1-111-2000-20-1-100000000-1-1000110
χ222222222222-2-222-2-2-2-22-1-12-12-120000-1-1-1-122-1-1-2-2-2-200000000001-2-2111-1-111200020110000000011000-1-10
χ232222222222-2-222-2-2-2-2-122-12-12-10000-1-1-1-1-1-12200000022220000-211-211-1-1110-2000-200000000-1-100-1-11001
χ242222222222-2-222-2-2-2-2-122-12-12-10000-1-1-1-1-1-122000000-2-2-2-20000-211-211-1-11102000200000000110011-100-1
χ2522222-2-22222-2-2-222-2-22-1-12-12-120000-1-1-1-1-2-21122-2-2000000000012-2-11111-1-12000-20-1-10000000011000-110
χ2622222-2-22222-2-2-222-2-22-1-12-12-120000-1-1-1-1-2-211-2-222000000000012-2-11111-1-1-2000201100000000-1-10001-10
χ2722222-2-22222-2-2-222-2-2-122-12-12-10000-1-1-1-111-2-200000022-2-20000-2-1121111-1-102000-200000000-1-10011-1001
χ2822222-2-22222-2-2-222-2-2-122-12-12-10000-1-1-1-111-2-2000000-2-2220000-2-1121111-1-10-20002000000001100-1-1100-1
χ2922222-2-2222-22-2-2-2-2222-1-12-12-120000-1-1-1-1-2-21122-2-20000000000-1-221-1-11111-200020-1-100000000110001-10
χ3022222-2-2222-22-2-2-2-2222-1-12-12-120000-1-1-1-1-2-211-2-2220000000000-1-221-1-111112000-201100000000-1-1000-110
χ3122222-2-2222-22-2-2-2-222-122-12-12-10000-1-1-1-111-2-200000022-2-2000021-1-2-1-111110-2000200000000-1-10011100-1
χ3222222-2-2222-22-2-2-2-222-122-12-12-10000-1-1-1-111-2-2000000-2-222000021-1-2-1-1111102000-2000000001100-1-1-1001
χ3322-2-2200-22-20000000022-22-2-22-22i2i−2i−2i2-2-2200002-20000002i−2i2i2i−2i−2i00000000000000002-200000000002i−2i0000
χ3422-2-2200-22-20000000022-22-2-22-22i2i−2i−2i2-2-220000-22000000−2i2i2i2i−2i−2i0000000000000000-220000000000−2i2i0000
χ3522-2-2200-22-20000000022-22-2-22-2−2i−2i2i2i2-2-2200002-2000000−2i2i−2i−2i2i2i00000000000000002-20000000000−2i2i0000
χ3622-2-2200-22-20000000022-22-2-22-2−2i−2i2i2i2-2-220000-220000002i−2i−2i−2i2i2i0000000000000000-2200000000002i−2i0000
χ372-22-222i−2i-2-22002i−2i0000222-2-22-2-22i−2i2i−2i2-22-22i−2i2i−2i00002-200002i−2i2i−2i0000002i−2i0000000000002-2000000000000
χ382-22-222i−2i-2-22002i−2i0000222-2-22-2-2−2i2i−2i2i2-22-22i−2i2i−2i0000-220000−2i2i−2i2i0000002i−2i000000000000-22000000000000
χ392-22-22−2i2i-2-2200−2i2i0000222-2-22-2-22i−2i2i−2i2-22-2−2i2i−2i2i0000-2200002i−2i2i−2i000000−2i2i000000000000-22000000000000
χ402-22-22−2i2i-2-2200−2i2i0000222-2-22-2-2−2i2i−2i2i2-22-2−2i2i−2i2i00002-20000−2i2i−2i2i000000−2i2i0000000000002-2000000000000
χ412-2-222002-2-20000000022-2-22-2-222-2-2222-2-20000002i−2i002i−2i002-2-220000000000000000000000002i−2i2i−2i000000
χ422-2-222002-2-20000000022-2-22-2-222-2-2222-2-2000000−2i2i00−2i2i002-2-22000000000000000000000000−2i2i−2i2i000000
χ432-2-222002-2-20000000022-2-22-2-22-222-222-2-20000002i−2i00−2i2i00-222-2000000000000000000000000−2i2i2i−2i000000
χ442-2-222002-2-20000000022-2-22-2-22-222-222-2-2000000−2i2i002i−2i00-222-20000000000000000000000002i−2i−2i2i000000
χ45444444444444444444-2-2-2-2-2-2-2-200001111-2-2-2-200000000000000-2-2-2-2111111000000000000000000000000
χ464444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-200001111-2-2-2-2000000000000002222-1-111-1-1000000000000000000000000
χ4744444-4-44444-4-4-444-4-4-2-2-2-2-2-2-2-2000011112222000000000000002-22-2-1-1-1-111000000000000000000000000
χ4844444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-200001111222200000000000000-22-2211-1-1-1-1000000000000000000000000
χ4944-4-4400-44-4000000004-2242-4-2-40000-222-200004-40000000000000000000000000000-220000000000000000
χ5044-4-4400-44-4000000004-2242-4-2-40000-222-20000-4400000000000000000000000000002-20000000000000000
χ5144-4-4400-44-400000000-24-4-2-42420000-222-20000000000004i−4i00000000000000000000000000000000−2i2i0000
χ5244-4-4400-44-400000000-24-4-2-42420000-222-2000000000000−4i4i000000000000000000000000000000002i−2i0000
χ534-44-444i−4i-4-44004i−4i00004-2-2-4242-40000-22-224i−4i−2i2i00000000000000000000−2i2i00000000000000000000000000
χ544-44-444i−4i-4-44004i−4i0000-2442-4-2-420000-22-22−2i2i4i−4i00000000000000000000−2i2i00000000000000000000000000
χ554-44-444i−4i-4-44004i−4i0000-2-2-222-22200001-11-1−2i2i−2i2i0000000000000000003-3i−i3i−3i000000000000000000000000
χ564-44-444i−4i-4-44004i−4i0000-2-2-222-22200001-11-1−2i2i−2i2i000000000000000000-33i−i−3i3i000000000000000000000000
χ574-44-44−4i4i-4-4400−4i4i00004-2-2-4242-40000-22-22−4i4i2i−2i000000000000000000002i−2i00000000000000000000000000
χ584-44-44−4i4i-4-4400−4i4i0000-2442-4-2-420000-22-222i−2i−4i4i000000000000000000002i−2i00000000000000000000000000
χ594-44-44−4i4i-4-4400−4i4i0000-2-2-222-22200001-11-12i−2i2i−2i0000000000000000003-3−ii−3i3i000000000000000000000000
χ604-44-44−4i4i-4-4400−4i4i0000-2-2-222-22200001-11-12i−2i2i−2i000000000000000000-33−ii3i−3i000000000000000000000000
χ614-4-444004-4-4000000004-22-4-2-4240000-2-2220000004i−4i000000000000000000000000000000000000−2i2i000000
χ624-4-444004-4-4000000004-22-4-2-4240000-2-222000000−4i4i0000000000000000000000000000000000002i−2i000000
χ634-4-444004-4-400000000-24-4242-4-20000-2-22200000000004i−4i000000000000000000000000000000−2i2i00000000
χ644-4-444004-4-400000000-24-4242-4-20000-2-2220000000000−4i4i0000000000000000000000000000002i−2i00000000
χ656666-366-3-3-366-3-3-3-3-3-3000000002222000000000000220000-1-1-1-1000000000000220000-1-1-1-1-1-10000000000
χ666666-366-3-3-366-3-3-3-3-3-300000000-2-2-2-2000000000000-2-200001111000000000000-2-200001111110000000000
χ676666-366-3-3-3-6-6-3-33333000000002222000000000000220000-1-1-1-1000000000000-2-2000011-1-1110000000000
χ686666-366-3-3-3-6-6-3-3333300000000-2-2-2-2000000000000-2-200001111000000000000220000-1-111-1-10000000000
χ696666-3-6-6-3-3-36-633-3-333000000002222000000000000-2-20000-1-1-1-1000000000000-2200001111-1-10000000000
χ706666-3-6-6-3-3-36-633-3-33300000000-2-2-2-200000000000022000011110000000000002-20000-1-1-1-1110000000000
χ716666-3-6-6-3-3-3-663333-3-3000000002222000000000000-2-20000-1-1-1-10000000000002-20000-1-111110000000000
χ726666-3-6-6-3-3-3-663333-3-300000000-2-2-2-20000000000002200001111000000000000-22000011-1-1-1-10000000000
χ736-66-6-36i−6i33-300−3i3i33−33−3i33i3000000002i−2i2i−2i0000000000002-20000−ii−ii0000000000000000003−3-11−i3i30000000000
χ746-66-6-36i−6i33-300−3i3i33−33−3i33i300000000−2i2i−2i2i000000000000-220000i−ii−i000000000000000000−331-1i3−i30000000000
χ756-66-6-36i−6i33-300−3i3i−33333i3−3i3000000002i−2i2i−2i0000000000002-20000−ii−ii000000000000000000−33-11i3−i30000000000
χ766-66-6-36i−6i33-300−3i3i−33333i3−3i300000000−2i2i−2i2i000000000000-220000i−ii−i0000000000000000003−31-1−i3i30000000000
χ776-66-6-3−6i6i33-3003i−3i33−333i3−3i3000000002i−2i2i−2i000000000000-220000−ii−ii000000000000000000−331-1−i3i30000000000
χ786-66-6-3−6i6i33-3003i−3i33−333i3−3i300000000−2i2i−2i2i0000000000002-20000i−ii−i0000000000000000003−3-11i3−i30000000000
χ796-66-6-3−6i6i33-3003i−3i−3333−3i33i3000000002i−2i2i−2i000000000000-220000−ii−ii0000000000000000003−31-1i3−i30000000000
χ806-66-6-3−6i6i33-3003i−3i−3333−3i33i300000000−2i2i−2i2i0000000000002-20000i−ii−i000000000000000000−33-11−i3i30000000000
χ8188-8-8800-88-800000000-4-44-444-4400002-2-220000000000000000000000000000000000000000000000000000
χ828-8-888008-8-800000000-4-444-444-4000022-2-20000000000000000000000000000000000000000000000000000
χ831212-12-12-6006-6600000000000000004i4i−4i−4i000000000000000000−2i−2i2i2i0000000000000000000000000000000000
χ841212-12-12-6006-660000000000000000−4i−4i4i4i0000000000000000002i2i−2i−2i0000000000000000000000000000000000
χ8512-12-1212-600-66600000000000000004-4-44000000000000000000-222-20000000000000000000000000000000000
χ8612-12-1212-600-6660000000000000000-444-40000000000000000002-2-220000000000000000000000000000000000

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