Finite Group Databasebeta

← Group #13181167

Character table — Group #13181167

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444888888888888888888889918181818181818363636363636363636363636363636363636363636367272727272727272
order122223666336666666633666666666666666666444441212121222224444888812122424242424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ5111-1-1111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-11-11-11-111-1-1-1-11111-1-1-1-11-11-11-11-1
χ6111-1-1111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-1-111-1-1-1-1-1-111111-1-111-1-11
χ7111-1-1111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-111-1-1-1-1-1-11111-111-1-111-1
χ8111-1-1111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-111111-11-11-11-1111-1-1-1-11111-1-1-1-1-11-11-11-11
χ911-11-11-1-11111-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11-11-1-111111-1-1-1-111-11-11-111-1-111-1-1111-1-1-1-11
χ1011-11-11-1-11111-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11-11-1-11111-11-1-11-1-11-111-1-1-111-1-11111-11-1-11-1
χ1111-11-11-1-11111-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-11-111-11-11-111-1-1-111-1-111-1-11-111-11
χ1211-11-11-1-11111-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1-11111-11-11-11-111-1-111-1-1-1-1-11111-1
χ1311-1-111-1-1111-11-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1111-111-11-1-11-1-11-1111-1-1-1-1111-111-11-1-1
χ1411-1-111-1-1111-11-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-1111-1-1-1-1111-111-1-11-1-11111-1-11-1-1-1-1111
χ1511-1-111-1-1111-11-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-111-11111-1-1-1-111-1-11-1-11111-1-1-11111-1-1-1
χ1611-1-111-1-1111-11-1-1111111-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-111-11-1-11-1111-1-11-1111-1-1-1-111-11-1-11-111
χ17222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2000000000000-2-20000000000000000
χ1822222-1-1-1-122-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ1922222-1-1-1-122-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ2022222-1-1-1-122-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21111000000000000113−33−33−33−300000000
χ2122222-1-1-1-122-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111100000000000011−33−33−33−3300000000
χ22222-2-2222222-2-2-2-2-2-2222222-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2000000000000220000000000000000
χ23222-2-2-1-1-1-12211-2-2-2-222-1-122-2-2-1-1-1-1-1-11111111122-2-22-1-1-1-10000000022-2-211-1-1-1-1111100000000
χ24222-2-2-1-1-1-12211-2-2-2-222-1-122-2-2-1-1-1-1-1-11111111122-2-22-1-1-1-100000000-2-222111111-1-1-1-100000000
χ25222-2-2-1-1-1-12211-2-2-2-222-1-122-2-2-1-1-1-1-1-111111111-2-222-21111000000000000-1-13−33−3−33−3300000000
χ26222-2-2-1-1-1-12211-2-2-2-222-1-122-2-2-1-1-1-1-1-111111111-2-222-21111000000000000-1-1−33−333−33−300000000
χ2722-22-22-2-22222-222-2-22222-2-22-222-2-2-2-22222-2-2-2-222-22-222-2-2000000000000-220000000000000000
χ2822-22-2-111-122-1122-2-222-1-1-2-22-2-1-11111-1-1-1-1111122-22-2-1-1110000000000001-13−3−333−3−3300000000
χ2922-22-2-111-122-1122-2-222-1-1-2-22-2-1-11111-1-1-1-1111122-22-2-1-1110000000000001-1−333−3−333−300000000
χ3022-22-2-111-122-1122-2-222-1-1-2-22-2-1-11111-1-1-1-11111-2-22-2211-1-1000000002-22-2-11-1-111-1-11100000000
χ3122-22-2-111-122-1122-2-222-1-1-2-22-2-1-11111-1-1-1-11111-2-22-2211-1-100000000-22-22-1111-1-111-1-100000000
χ3222-2-222-2-2222-22-2-2222222-2-2-2222-2-2-2-2-2-2-2-22222222-2-222-2-20000000000002-20000000000000000
χ3322-2-22-111-1221-1-2-22222-1-1-2-2-22-1-111111111-1-1-1-1222-2-2-1-111000000000000-113−3−33−333−300000000
χ3422-2-22-111-1221-1-2-22222-1-1-2-2-22-1-111111111-1-1-1-1222-2-2-1-111000000000000-11−333−33−3−3300000000
χ3522-2-22-111-1221-1-2-22222-1-1-2-2-22-1-111111111-1-1-1-1-2-2-22211-1-1000000002-2-221-1-1-11111-1-100000000
χ3622-2-22-111-1221-1-2-22222-1-1-2-2-22-1-111111111-1-1-1-1-2-2-22211-1-100000000-222-21-111-1-1-1-11100000000
χ374444444441-24411-2-21-21-21-2-211-211-2-211-2-211-2-20000000002200220000000000000000-1-100-1-100
χ384444444441-24411-2-21-21-21-2-211-211-2-211-2-211-2-2000000000-2-200-2-2000000000000000011001100
χ39444444444-2144-2-211-21-21-211-2-21-2-211-2-211-2-211000000000002200220000000000000000-1-100-1-1
χ40444444444-2144-2-211-21-21-211-2-21-2-211-2-211-2-21100000000000-2-200-2-20000000000000000110011
χ41444-4-444441-2-4-4-1-1221-21-21-22-11-211-2-2-1-122-1-1220000000002-2002-20000000000000000-1100-1100
χ42444-4-444441-2-4-4-1-1221-21-21-22-11-211-2-2-1-122-1-122000000000-2200-2200000000000000001-1001-100
χ43444-4-44444-21-4-422-1-1-21-21-21-12-21-2-21122-1-122-1-1000000000002-2002-20000000000000000-1100-11
χ44444-4-44444-21-4-422-1-1-21-21-21-12-21-2-21122-1-122-1-100000000000-2200-2200000000000000001-1001-1
χ4544-44-44-4-441-24-411221-21-2-12-2-11-2-1-12211-2-2-1-1220000000002200-2-20000000000000000-1-1001100
χ4644-44-44-4-441-24-411221-21-2-12-2-11-2-1-12211-2-2-1-122000000000-2-2002200000000000000001100-1-100
χ4744-44-44-4-44-214-4-2-2-1-1-21-212-112-2122-1-1-2-21122-1-1000000000002-200-220000000000000000-11001-1
χ4844-44-44-4-44-214-4-2-2-1-1-21-212-112-2122-1-1-2-21122-1-100000000000-22002-200000000000000001-100-11
χ4944-4-444-4-441-2-44-1-1-2-21-21-2-12211-2-1-122-1-12211-2-20000000002-200-220000000000000000-11001-100
χ5044-4-444-4-441-2-44-1-1-2-21-21-2-12211-2-1-122-1-12211-2-2000000000-22002-200000000000000001-100-1100
χ5144-4-444-4-44-21-442211-21-212-1-1-2-2122-1-122-1-1-2-211000000000002200-2-20000000000000000-1-10011
χ5244-4-444-4-44-21-442211-21-212-1-1-2-2122-1-122-1-1-2-21100000000000-2-2002200000000000000001100-1-1
χ534-4000400-444000000-4-4440000-4-40000000000004i−4i0004i−4i00000000000000000000000000000000
χ544-4000400-444000000-4-4440000-4-4000000000000−4i4i000−4i4i00000000000000000000000000000000
χ554-4000-2−2i32i3244000000-4-4-2-2000022−2i32i3−2i32i3000000004i−4i000−2i2i23−23000000000000000000000000000000
χ564-4000-2−2i32i3244000000-4-4-2-2000022−2i32i3−2i32i300000000−4i4i0002i−2i−2323000000000000000000000000000000
χ574-4000-22i3−2i3244000000-4-4-2-20000222i3−2i32i3−2i3000000004i−4i000−2i2i−2323000000000000000000000000000000
χ584-4000-22i3−2i3244000000-4-4-2-20000222i3−2i32i3−2i300000000−4i4i0002i−2i23−23000000000000000000000000000000
χ5988888-4-4-4-42-4-4-422-4-42-4-122-4-42-12-1-122-1-122-1-122000000000000000000000000000000000000000
χ6088888-4-4-4-4-42-4-4-4-422-422-1-422-42-122-1-122-1-122-1-1000000000000000000000000000000000000000
χ61888-8-8-4-4-4-42-444-2-2442-4-122-44-2-12-1-12211-2-211-2-2000000000000000000000000000000000000000
χ62888-8-8-4-4-4-4-424444-2-2-422-1-42-242-122-1-1-2-211-2-211000000000000000000000000000000000000000
χ6388-88-8-444-42-4-4422442-4-12-24-4-2-1211-2-2-1-12211-2-2000000000000000000000000000000000000000
χ6488-88-8-444-4-42-44-4-4-2-2-422-14-2242-1-2-21122-1-1-2-211000000000000000000000000000000000000000
χ6588-8-88-444-42-44-4-2-2-4-42-4-12-2442-1211-2-211-2-2-1-122000000000000000000000000000000000000000
χ6688-8-88-444-4-424-44422-422-14-2-2-42-1-2-211-2-21122-1-1000000000000000000000000000000000000000
χ678-8000800-82-4006-600-242-40000-2400006-6000000000000000000000000000000000000000000000
χ688-8000800-82-400-6600-242-40000-240000-66000000000000000000000000000000000000000000000
χ698-8000800-8-4200006-64-2-4200004-200000000006-6000000000000000000000000000000000000000
χ708-8000800-8-420000-664-2-4200004-20000000000-66000000000000000000000000000000000000000
χ718-8000-4−4i34i342-4006-600-24-1200001-2−i3i32i3−2i3-3300−3i33i300000000000000000000000000000000000000000
χ728-8000-4−4i34i342-400-6600-24-1200001-2−i3i32i3−2i33-3003i3−3i300000000000000000000000000000000000000000
χ738-8000-4−4i34i34-4200006-64-22-10000-212i3−2i3−i3i300−3i33i300-33000000000000000000000000000000000000000
χ748-8000-4−4i34i34-420000-664-22-10000-212i3−2i3−i3i3003i3−3i3003-3000000000000000000000000000000000000000
χ758-8000-44i3−4i342-4006-600-24-1200001-2i3−i3−2i32i3-33003i3−3i300000000000000000000000000000000000000000
χ768-8000-44i3−4i342-400-6600-24-1200001-2i3−i3−2i32i33-300−3i33i300000000000000000000000000000000000000000
χ778-8000-44i3−4i34-4200006-64-22-10000-21−2i32i3i3−i3003i3−3i300-33000000000000000000000000000000000000000
χ788-8000-44i3−4i34-420000-664-22-10000-21−2i32i3i3−i300−3i33i3003-3000000000000000000000000000000000000000

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