Finite Group Databasebeta

← Group #11793426

Character table — Group #11793426

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444448888888888812121212181818182424242424242424242424242424484848487272727272
order1222223366666666664661212121212121212444444442444441212121212121212612121248888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111-111-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-11-1-11-111-1-1
χ6111111111111111111-111-1-1-1-1-1-1-1-111111111-11-1-11-11111-1-1-1-1-111-1-1-1-111
χ7111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111-111-11-1-1-1-111111-1-11-1-1-111
χ8111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11111-111-1-111-1-1
χ9222222222222222222222222222220000-2-2-2-2000000000000000000-20000
χ10222222222222222222-222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000020000
χ112222-2-2222-2-2-222222-20-2-20000000000002-22-20200-200000000002-2000000
χ122222-2-2222-2-2-222222-20-2-20000000000002-22-20-20020000000000-22000000
χ132222-2-2222-2-2-222222-20-2-2000000000000-22-2220000-200000000200-200000
χ142222-2-2222-2-2-222222-20-2-2000000000000-22-22-20000200000000-200200000
χ152-2-222-222-222-22-2-22-2-202-2000000000000-222-2002i−2i0000002i2i−2i−2i000000000
χ162-2-222-222-222-22-2-22-2-202-2000000000000-222-200−2i2i000000−2i−2i2i2i000000000
χ172-2-222-222-222-22-2-22-2-202-2000000002i2i−2i−2i2-2-220000002i2i−2i−2i0000000000000
χ182-2-222-222-222-22-2-22-2-202-200000000−2i−2i2i2i2-2-22000000−2i−2i2i2i0000000000000
χ192-2-22-2222-2-2-222-2-22-220-2200000000000022-2-20000000000000000000002i−2i
χ202-2-22-2222-2-2-222-2-22-220-2200000000000022-2-2000000000000000000000−2i2i
χ212-2-22-2222-2-2-222-2-22-220-22000000000000-2-22200000000000000000002-200
χ222-2-22-2222-2-2-222-2-22-220-22000000000000-2-2220000000000000000000-2200
χ234444441-211111-2-2-2114-2-21111-2-2-2-222220000002200-1-1-1-1-1-1-1-1000000000
χ244444441-211111-2-2-2114-2-21111-2-2-2-2-2-2-2-2000000-2-20011111111000000000
χ254444441-211111-2-2-211-4-2-2-1-1-1-122222222000000-2-200-1-1-1-11111000000000
χ264444441-211111-2-2-211-4-2-2-1-1-1-12222-2-2-2-200000022001111-1-1-1-1000000000
χ27444444-21-2-2-2-2-2111-2-2411-2-2-2-211110000000022002200000000-1-1-1-100000
χ28444444-21-2-2-2-2-2111-2-2411-2-2-2-2111100000000-2-200-2-200000000111100000
χ29444444-21-2-2-2-2-2111-2-2-4112222-1-1-1-1000000002-200-2200000000-111-100000
χ30444444-21-2-2-2-2-2111-2-2-4112222-1-1-1-100000000-22002-2000000001-1-1100000
χ314444-4-4-21-2222-2111-220-1-1000033-3-3000000002200-2-200000000-1-11100000
χ324444-4-4-21-2222-2111-220-1-1000033-3-300000000-2-200220000000011-1-100000
χ334444-4-4-21-2222-2111-220-1-10000-3-333000000002-2002-200000000-11-1100000
χ344444-4-4-21-2222-2111-220-1-10000-3-33300000000-2200-22000000001-11-100000
χ3544-4-4001-213-33-12-22-1-300033−3−323−23002-22-200000000001-11-13−33−3000000000
χ3644-4-4001-213-33-12-22-1-300033−3−323−2300-22-220000000000-11-11−33−33000000000
χ3744-4-4001-213-33-12-22-1-3000−3−333−2323002-22-200000000001-11-1−33−33000000000
χ3844-4-4001-213-33-12-22-1-3000−3−333−232300-22-220000000000-11-113−33−3000000000
χ3944-4-400444000-4-44-4-40000000000002-22-20000000000-22-220000000000000
χ4044-4-400444000-4-44-4-4000000000000-22-2200000000002-22-20000000000000
χ414-44-4001-2-13-3-3-1-222130003−33−30023−232i−2i−2i2i0000000000i−i−ii−i3i3i3−i3000000000
χ424-44-4001-2-13-3-3-1-222130003−33−30023−23−2i2i2i−2i0000000000−iii−ii3−i3−i3i3000000000
χ434-44-4001-2-13-3-3-1-22213000−33−3300−23232i−2i−2i2i0000000000i−i−iii3−i3−i3i3000000000
χ444-44-4001-2-13-3-3-1-22213000−33−3300−2323−2i2i2i−2i0000000000−iii−i−i3i3i3−i3000000000
χ454-44-40044-4000-44-4-440000000000002i−2i−2i2i0000000000−2i2i2i−2i0000000000000
χ464-44-40044-4000-44-4-44000000000000−2i2i2i−2i00000000002i−2i−2i2i0000000000000
χ474-4-444-41-2-111-1122-2-1-10-223-3-3300002i2i−2i−2i0000002i−2i00−i−iii−i−iii000000000
χ484-4-444-41-2-111-1122-2-1-10-223-3-330000−2i−2i2i2i000000−2i2i00ii−i−iii−i−i000000000
χ494-4-444-41-2-111-1122-2-1-10-22-333-300002i2i−2i−2i000000−2i2i00−i−iiiii−i−i000000000
χ504-4-444-41-2-111-1122-2-1-10-22-333-30000−2i−2i2i2i0000002i−2i00ii−i−i−i−iii000000000
χ518888-8-82-42-2-2-22-4-4-42-2044000000000000000000000000000000000000000
χ5288-8-8002-42-66-6-24-44-26000000000000000000000000000000000000000000
χ5388-8-800-42-40004-22-2400002323−23−23−2323000000000000000000000000000000000
χ5488-8-800-42-40004-22-240000−23−23232323−23000000000000000000000000000000000
χ558-88-8002-4-2-666-2-4442-6000000000000000000000000000000000000000000
χ568-88-800-42400042-2-2-4000023−2323−2300−23230000000000000000000000000000000
χ578-88-800-42400042-2-2-40000−2323−23230023−230000000000000000000000000000000
χ588-8-888-8-424-4-44-4-2-224402-2000000000000000000000000000000000000000
χ598-8-88-882-4-2-2-22244-4-2204-4000000000000000000000000000000000000000
χ608-8-88-88-42444-4-4-2-224-40-22000000000000000000000000000000000000000

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