Finite Group Databasebeta

← Group #13149435

Character table — Group #13149435

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order122234466644121212121212336666664444366612121212224444444412121212121212121212121212124444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111111111-11-1-11-111-1-1-1-1-1-1-1-1-1-1111-1-11
χ411111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-111-1
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
χ61111111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111-1-111-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-111111-1-111-1-1-1-111-111-1
χ81111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-111-1-1111111-1-11-1-11
χ911111-1-11111-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1-111-1-1111-111-1-1-1-11111-1-1-1-111-1-1
χ1011111-1-11111-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1111111-11-11-1-1-1-111-11-11-11-1-1-1-1-1-111-1-11111-1-111
χ1111111-1-11111-1-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1111-1-1-111111111-1-1-1-111-1-11-11-1
χ1211111-1-11111-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-1-1-11111-1-111-1-111-11-11
χ1311111-1-1111-11-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-111111-1-1-1-111-1-1-1-1-1-111
χ1411111-1-1111-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-11111111-11-111-1-1-1-11-11-11-1-1-111-1-1-1-1-1-1111111-1-1
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-1-1-1-1111-1-111-1-11111-1-111-1-1-11-11
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1111-11-1
χ172222222222222222222-1-12-122-10000-1-1-1-122-1-122002200000000-122-1-1-1-1-1-1-1020020-1-10000000000-1-1-100-1
χ182222222222222222222-1-12-122-10000-1-1-1-122-1-1-2-200-2-200000000-122-1-1-1-1-1-1-10-200-20110000000000111001
χ19222222222222222222-122-12-1-120000-1-1-1-1-1-122002200002200002-1-12-1-1-1-1-1-100200200000000-1-1-1-1000-1-10
χ20222222222222222222-122-12-1-120000-1-1-1-1-1-12200-2-20000-2-200002-1-12-1-1-1-1-1-100-200-2000000001111000110
χ212222222222-2-222-2-2-2-22-1-12-122-10000-1-1-1-122-1-1220022000000001-2-2111-1-1110-200-20-1-10000000000-1-11001
χ222222222222-2-222-2-2-2-22-1-12-122-10000-1-1-1-122-1-1-2-200-2-2000000001-2-2111-1-11102002011000000000011-100-1
χ232222222222-2-222-2-2-2-2-122-12-1-120000-1-1-1-1-1-12200220000220000-211-211-1-11100-200-200000000-1-1-1-1000110
χ242222222222-2-222-2-2-2-2-122-12-1-120000-1-1-1-1-1-12200-2-20000-2-20000-211-211-1-111002002000000001111000-1-10
χ2522222-2-22222-2-2-222-2-22-1-12-122-10000-1-1-1-1-2-2112200-2-20000000012-2-11111-1-10-20020-1-1000000000011-1001
χ2622222-2-22222-2-2-222-2-22-1-12-122-10000-1-1-1-1-2-211-2-200220000000012-2-11111-1-10200-20110000000000-1-1100-1
χ2722222-2-22222-2-2-222-2-2-122-12-1-120000-1-1-1-111-2-200220000-2-20000-2-1121111-1-100200-200000000-1-111000-110
χ2822222-2-22222-2-2-222-2-2-122-12-1-120000-1-1-1-111-2-200-2-20000220000-2-1121111-1-100-20020000000011-1-10001-10
χ2922222-2-2222-22-2-2-2-2222-1-12-122-10000-1-1-1-1-2-2112200-2-200000000-1-221-1-111110200-20-1-1000000000011100-1
χ3022222-2-2222-22-2-2-2-2222-1-12-122-10000-1-1-1-1-2-211-2-2002200000000-1-221-1-111110-20020110000000000-1-1-1001
χ3122222-2-2222-22-2-2-2-222-122-12-1-120000-1-1-1-111-2-200220000-2-2000021-1-2-1-1111100-200200000000-1-1110001-10
χ3222222-2-2222-22-2-2-2-222-122-12-1-120000-1-1-1-111-2-200-2-2000022000021-1-2-1-1111100200-20000000011-1-1000-110
χ3322-2-22002-2-2000000002222-2-2-2-222-2-222-2-200002-22-200000022-2-200000000000000002-20000002-200000000
χ3422-2-22002-2-2000000002222-2-2-2-222-2-222-2-20000-22-2200000022-2-20000000000000000-22000000-2200000000
χ3522-2-22002-2-2000000002222-2-2-2-2-2-22222-2-200002-2-22000000-2-22200000000000000002-2000000-2200000000
χ3622-2-22002-2-2000000002222-2-2-2-2-2-22222-2-20000-222-2000000-2-2220000000000000000-220000002-200000000
χ372-22-2200-22-20000000022-2-2-22-222i−2i2i−2i2-2-22000000002-2002i−2i2i−2i2i−2i000000000000000000000000002i−2i2-20000
χ382-22-2200-22-20000000022-2-2-22-222i−2i2i−2i2-2-2200000000-2200−2i2i2i−2i2i−2i00000000000000000000000000−2i2i-220000
χ392-22-2200-22-20000000022-2-2-22-22−2i2i−2i2i2-2-22000000002-200−2i2i−2i2i−2i2i00000000000000000000000000−2i2i2-20000
χ402-22-2200-22-20000000022-2-2-22-22−2i2i−2i2i2-2-2200000000-22002i−2i−2i2i−2i2i000000000000000000000000002i−2i-220000
χ412-2-2222i−2i-2-22002i−2i000022-2-22-22-22i−2i−2i2i2-22-22i−2i2i−2i0000002-2002i−2i−2i2i0000002i−2i0000000000002-2000000000000
χ422-2-2222i−2i-2-22002i−2i000022-2-22-22-2−2i2i2i−2i2-22-22i−2i2i−2i000000-2200−2i2i2i−2i0000002i−2i000000000000-22000000000000
χ432-2-222−2i2i-2-2200−2i2i000022-2-22-22-22i−2i−2i2i2-22-2−2i2i−2i2i000000-22002i−2i−2i2i000000−2i2i000000000000-22000000000000
χ442-2-222−2i2i-2-2200−2i2i000022-2-22-22-2−2i2i2i−2i2-22-2−2i2i−2i2i0000002-200−2i2i2i−2i000000−2i2i0000000000002-2000000000000
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
χ4944-4-44004-4-4000000004-2-242-4-420000-2-22200004-40000000000000000000000000000-220000000000000000
χ5044-4-44004-4-4000000004-2-242-4-420000-2-2220000-4400000000000000000000000000002-20000000000000000
χ5144-4-44004-4-400000000-244-2-422-40000-2-2220000004-40000000000000000000000000000000000-2200000000
χ5244-4-44004-4-400000000-244-2-422-40000-2-222000000-4400000000000000000000000000000000002-200000000
χ534-44-4400-44-4000000004-22-424-4-20000-222-2000000004-4000000000000000000000000000000000000-220000
χ544-44-4400-44-4000000004-22-424-4-20000-222-200000000-440000000000000000000000000000000000002-20000
χ554-44-4400-44-400000000-24-42-4-2240000-222-20000000000004i−4i000000000000000000000000000000−2i2i000000
χ564-44-4400-44-400000000-24-42-4-2240000-222-2000000000000−4i4i0000000000000000000000000000002i−2i000000
χ574-4-4444i−4i-4-44004i−4i00004-22-4-2-4420000-22-224i−4i−2i2i00000000000000000000−2i2i00000000000000000000000000
χ584-4-4444i−4i-4-44004i−4i0000-24-4242-2-40000-22-22−2i2i4i−4i00000000000000000000−2i2i00000000000000000000000000
χ594-4-4444i−4i-4-44004i−4i0000-2-222-22-2200001-11-1−2i2i−2i2i0000000000000000003-3i−i3i−3i000000000000000000000000
χ604-4-4444i−4i-4-44004i−4i0000-2-222-22-2200001-11-1−2i2i−2i2i000000000000000000-33i−i−3i3i000000000000000000000000
χ614-4-444−4i4i-4-4400−4i4i00004-22-4-2-4420000-22-22−4i4i2i−2i000000000000000000002i−2i00000000000000000000000000
χ624-4-444−4i4i-4-4400−4i4i0000-24-4242-2-40000-22-222i−2i−4i4i000000000000000000002i−2i00000000000000000000000000
χ634-4-444−4i4i-4-4400−4i4i0000-2-222-22-2200001-11-12i−2i2i−2i0000000000000000003-3−ii−3i3i000000000000000000000000
χ644-4-444−4i4i-4-4400−4i4i0000-2-222-22-2200001-11-12i−2i2i−2i000000000000000000-33−ii3i−3i000000000000000000000000
χ656666-366-3-3-366-3-3-3-3-3-3000000002222000000000000002200-1-1-1-1000000000020020000-1-1-1-1-1-10000000000
χ666666-366-3-3-366-3-3-3-3-3-300000000-2-2-2-200000000000000-2-20011110000000000-200-200001111110000000000
χ676666-366-3-3-3-6-6-3-33333000000002222000000000000002200-1-1-1-10000000000-200-2000011-1-1110000000000
χ686666-366-3-3-3-6-6-3-3333300000000-2-2-2-200000000000000-2-2001111000000000020020000-1-111-1-10000000000
χ696666-3-6-6-3-3-36-633-3-33300000000222200000000000000-2-200-1-1-1-10000000000-200200001111-1-10000000000
χ706666-3-6-6-3-3-36-633-3-33300000000-2-2-2-200000000000000220011110000000000200-20000-1-1-1-1110000000000
χ716666-3-6-6-3-3-3-663333-3-300000000222200000000000000-2-200-1-1-1-10000000000200-20000-1-111110000000000
χ726666-3-6-6-3-3-3-663333-3-300000000-2-2-2-200000000000000220011110000000000-2002000011-1-1-1-10000000000
χ736-6-66-36i−6i33-300−3i3i33−33−3i33i3000000002i−2i−2i2i000000000000002-200−iii−i0000000000000000003−3-11−i3i30000000000
χ746-6-66-36i−6i33-300−3i3i33−33−3i33i300000000−2i2i2i−2i00000000000000-2200i−i−ii000000000000000000−331-1i3−i30000000000
χ756-6-66-36i−6i33-300−3i3i−33333i3−3i3000000002i−2i−2i2i000000000000002-200−iii−i000000000000000000−33-11i3−i30000000000
χ766-6-66-36i−6i33-300−3i3i−33333i3−3i300000000−2i2i2i−2i00000000000000-2200i−i−ii0000000000000000003−31-1−i3i30000000000
χ776-6-66-3−6i6i33-3003i−3i33−333i3−3i3000000002i−2i−2i2i00000000000000-2200−iii−i000000000000000000−331-1−i3i30000000000
χ786-6-66-3−6i6i33-3003i−3i33−333i3−3i300000000−2i2i2i−2i000000000000002-200i−i−ii0000000000000000003−3-11i3−i30000000000
χ796-6-66-3−6i6i33-3003i−3i−3333−3i33i3000000002i−2i−2i2i00000000000000-2200−iii−i0000000000000000003−31-1i3−i30000000000
χ806-6-66-3−6i6i33-3003i−3i−3333−3i33i300000000−2i2i2i−2i000000000000002-200i−i−ii000000000000000000−33-11−i3i30000000000
χ8188-8-88008-8-800000000-4-4-4-44444000022-2-20000000000000000000000000000000000000000000000000000
χ828-88-8800-88-800000000-4-4444-44-400002-2-220000000000000000000000000000000000000000000000000000
χ831212-12-12-600-666000000000000000044-4-4000000000000000000-2-2220000000000000000000000000000000000
χ841212-12-12-600-6660000000000000000-4-44400000000000000000022-2-20000000000000000000000000000000000
χ8512-1212-12-6006-6600000000000000004i−4i4i−4i000000000000000000−2i2i−2i2i0000000000000000000000000000000000
χ8612-1212-12-6006-660000000000000000−4i4i−4i4i0000000000000000002i−2i2i−2i0000000000000000000000000000000000

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