Finite Group Databasebeta

← Group #11795353

Character table — Group #11795353

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881616161618181818242424242424242424242424242424243636363648484848727272
order12224433666666412121212121212122244444488882424242424242424888812121212488
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1
χ3111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ611111111111111-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111
χ711111111111111-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-111
χ811111111111111-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ922222222222222222222222-2-2-2-2000000000000000000000000-200
χ1022222222222222-22222-2-2-2-2-2-2-2-2000000000000000000000000200
χ112222-2-2222222220-2-2-2-2000022-2-200000000000000000000000002i−2i
χ122222-2-2222222220-2-2-2-2000022-2-20000000000000000000000000−2i2i
χ132222-2-2222222220-2-2-2-20000-2-222000000000000000022-2-20000000
χ142222-2-2222222220-2-2-2-20000-2-2220000000000000000-2-2220000000
χ1522-2-22-222-222-2-2-202-22-200002-22-20000002-2000022-2-200000000000
χ1622-2-22-222-222-2-2-202-22-200002-22-2000000-220000-2-22200000000000
χ1722-2-22-222-222-2-2-202-22-20000-22-22002i−2i00000000000000002i−2i00000
χ1822-2-22-222-222-2-2-202-22-20000-22-2200−2i2i0000000000000000−2i2i00000
χ1922-2-2-2222-222-2-2-20-22-2200002-2-222i−2i000000000000000000002i−2i000
χ2022-2-2-2222-222-2-2-20-22-2200002-2-22−2i2i00000000000000000000−2i2i000
χ2122-2-2-2222-222-2-2-20-22-220000-222-200002-20022-2-2000000000000000
χ2222-2-2-2222-222-2-2-20-22-220000-222-20000-2200-2-222000000000000000
χ234444441-211-2-2-2141-2-21-2-211000022002200-1-1-1-10000000000-1-1000
χ244444441-211-2-2-2141-2-21-2-2110000-2-200-2-2001111000000000011000
χ254444441-211-2-2-21-41-2-2122-1-100002200-2-20011110000000000-1-1000
χ264444441-211-2-2-21-41-2-2122-1-10000-2-2002200-1-1-1-1000000000011000
χ27444444-21-2-2111-24-211-211-2-20000002200220000-1-1-1-10000-1-100000
χ28444444-21-2-2111-24-211-211-2-2000000-2-200-2-20000111100001100000
χ29444444-21-2-2111-2-4-211-2-1-1220000002200-2-2000011110000-1-100000
χ30444444-21-2-2111-2-4-211-2-1-122000000-2-200220000-1-1-1-100001100000
χ3144-4-44-4-212-21-1-120-2-1123i−3i000000002i−2i002-20000-1-1110000−ii00000
χ3244-4-44-4-212-21-1-120-2-1123i−3i00000000−2i2i00-22000011-1-10000i−i00000
χ3344-4-44-4-212-21-1-120-2-112−3i3i000000002i−2i00-22000011-1-10000−ii00000
χ3444-4-44-4-212-21-1-120-2-112−3i3i00000000−2i2i002-20000-1-1110000i−i00000
χ3544-4-4-441-2-11-222-10-1-221003i−3i00002i−2i002-200-1-1110000000000−ii000
χ3644-4-4-441-2-11-222-10-1-221003i−3i0000−2i2i00-220011-1-10000000000i−i000
χ3744-4-4-441-2-11-222-10-1-22100−3i3i00002i−2i00-220011-1-10000000000−ii000
χ3844-4-4-441-2-11-222-10-1-22100−3i3i0000−2i2i002-200-1-1110000000000i−i000
χ394-44-40044-4-4-44-440000000000000000000000000000000−2i22i20000000
χ404-44-40044-4-4-44-4400000000000000000000000000000002i2−2i20000000
χ414-4-4400444-4-4-44-400000000000000000000000000000−2i22i2000000000
χ424-4-4400444-4-4-44-4000000000000000000000000000002i2−2i2000000000
χ438888-8-82-422-4-4-420-244-200000000000000000000000000000000000
χ448888-8-8-42-4-4222-404-2-2400000000000000000000000000000000000
χ4588-8-88-82-4-22-444-2024-4-200000000000000000000000000000000000
χ4688-8-8-88-424-42-2-24042-2-400000000000000000000000000000000000
χ478-88-8002-4-2-24-442000000000000000000000i6−i6i6−i6000000000000000
χ488-88-8002-4-2-24-442000000000000000000000−i6i6−i6i6000000000000000
χ498-88-800-4244-22-2-400000000000000000000000006−66−600000000000
χ508-88-800-4244-22-2-40000000000000000000000000−66−6600000000000
χ518-8-88002-42-244-4-2000000000000000000000i6−i6−i6i6000000000000000
χ528-8-88002-42-244-4-2000000000000000000000−i6i6i6−i6000000000000000
χ538-8-8800-42-44-2-22400000000000000000000000006−6−6600000000000
χ548-8-8800-42-44-2-2240000000000000000000000000−666−600000000000

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