Finite Group Databasebeta

← Group #11776587

Character table — Group #11776587

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122224444444444444444488888888181824242424242424242424242424242424242424242424242436363672727272
order122222443346666666666121212126612121212121244222266666666888824242424242424244448888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11-1ii−i−i
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11-1−i−iii
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−iiiii−i−i−i−i11-1−i−iii
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iii−i−i−i−iiiii11-1ii−i−i
χ91111-1-11111-11111-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-11-11-111-1-111-1-11-1-11-11-1
χ101111-1-11111-11111-1-1-1-1111111-1-111-1-1-1-1111-11-111-1-111-1-1-11-11-1-111-1-1111-1-1-11-11
χ111111-1-11111-11111-1-1-1-1111111-1-111-1-1-1-111-11-11-1-111-1-1111-11-111-1-111-1-11-1-1-11-11
χ121111-1-11111-11111-1-1-1-1111111-1-111-1-1-1-111-11-11-1-111-1-111-11-11-1-111-1-1111-1-11-11-1
χ131111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111i−i−iiii−i−i−i−iii1-11i−i−ii
χ141111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111−iii−i−i−iiiii−i−i1-11−iii−i
χ151111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1i−i−iiii−i−i−i−iii1-11−iii−i
χ161111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-1−iii−i−i−iiiii−i−i1-11i−i−ii
χ17222222222222222222222222222222222-2-2000000000000000000000000-2-2-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-222000000000000000000000000-2-220000
χ192222-2-22222-22222-2-2-2-2222222-2-222-2-2-2-2-2-2000000000000000000000000-2220000
χ202222-2-2-2-22222222-2-2-2-222-2-2-2-2-2-2-2-2222222000000000000000000000000-22-20000
χ21444444441-2411-2-2-2-2-2-21-2111111-2-211-2-2000000000000002222-1-1-1-1-1-1-1-10000000
χ22444444441-2411-2-2-2-2-2-21-2111111-2-211-2-200000000000000-2-2-2-2111111110000000
χ2344444444-214-2-2111111-21-2-2-2-2-2-211-2-211002222-1-1-1-1-1-1-1-10000000000000000000
χ2444444444-214-2-2111111-21-2-2-2-2-2-211-2-21100-2-2-2-2111111110000000000000000000
χ25444444-4-41-2-411-2-2-2-2-2-21-2-1-1-1-11122-1-122000000000000002i2i−2i−2i−i−i−i−iiiii0000000
χ26444444-4-41-2-411-2-2-2-2-2-21-2-1-1-1-11122-1-12200000000000000−2i−2i2i2iiiii−i−i−i−i0000000
χ27444444-4-4-21-4-2-2111111-212222-2-2-1-122-1-10022-2-2-1-1-1-111110000000000000000000
χ28444444-4-4-21-4-2-2111111-212222-2-2-1-122-1-100-2-2221111-1-1-1-10000000000000000000
χ294444-4-4441-2-411-2-222221-21111-1-1-2-2-1-122000000000000002-22-2-1-111-1-1110000000
χ304444-4-4441-2-411-2-222221-21111-1-1-2-2-1-12200000000000000-22-2211-1-111-1-10000000
χ314444-4-444-21-4-2-211-1-1-1-1-21-2-2-2-2221122-1-1002-22-2-1-111-1-1110000000000000000000
χ324444-4-444-21-4-2-211-1-1-1-1-21-2-2-2-2221122-1-100-22-2211-1-111-1-10000000000000000000
χ334444-4-4-4-41-2411-2-222221-2-1-1-1-1-1-12211-2-2000000000000002i−2i−2i2i−i−iiiii−i−i0000000
χ344444-4-4-4-41-2411-2-222221-2-1-1-1-1-1-12211-2-200000000000000−2i2i2i−2iii−i−i−i−iii0000000
χ354444-4-4-4-4-214-2-211-1-1-1-1-21222222-1-1-2-211002-2-22-1-11111-1-10000000000000000000
χ364444-4-4-4-4-214-2-211-1-1-1-1-21222222-1-1-2-21100-222-211-1-1-1-1110000000000000000000
χ3744-4-4004-4440-4-4-4-400004444-4-4004-40000000000000000000000000000000000000
χ3844-4-4004-4-21022-1-133-3-3-21-2-222001-1003-3000000−i3i3−i3i3−i3i3−i3i30000000000000000000
χ3944-4-4004-4-21022-1-133-3-3-21-2-222001-1003-3000000i3−i3i3−i3i3−i3i3−i30000000000000000000
χ4044-4-4004-4-21022-1-1-3-333-21-2-222001-100-33000000−i3i3i3−i3−i3i3i3−i30000000000000000000
χ4144-4-4004-4-21022-1-1-3-333-21-2-222001-100-33000000i3−i3−i3i3i3−i3−i3i30000000000000000000
χ4244-4-400-44440-4-4-4-4000044-4-44400-440000000000000000000000000000000000000
χ4344-4-400-44-21022-1-133-3-3-2122-2-200-1100-33000000−i3i3−i3i3i3−i3i3−i30000000000000000000
χ4444-4-400-44-21022-1-133-3-3-2122-2-200-1100-33000000i3−i3i3−i3−i3i3−i3i30000000000000000000
χ4544-4-400-44-21022-1-1-3-333-2122-2-200-11003-3000000−i3i3i3−i3i3−i3−i3i30000000000000000000
χ4644-4-400-44-21022-1-1-3-333-2122-2-200-11003-3000000i3−i3−i3i3−i3i3i3−i30000000000000000000
χ474-44-400004404-44-40000-4-40000000000004-40000000000000000000000000000000
χ484-44-400004404-44-40000-4-4000000000000-440000000000000000000000000000000
χ494-4-444-4001-20-112-22-22-2-123i−3i3i−3i1-1003i−3i00000000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000
χ504-4-444-4001-20-112-22-22-2-123i−3i3i−3i1-1003i−3i00000000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000
χ514-4-444-4001-20-112-22-22-2-12−3i3i−3i3i1-100−3i3i00000000000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000
χ524-4-444-4001-20-112-22-22-2-12−3i3i−3i3i1-100−3i3i00000000000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000
χ534-4-444-400440-44-44-44-44-4-400004-4000000000000000000000000000000000000000
χ544-4-44-44001-20-112-2-22-22-123i−3i3i−3i-1100−3i3i00000000000000000000ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000
χ554-4-44-44001-20-112-2-22-22-123i−3i3i−3i-1100−3i3i00000000000000000000−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000
χ564-4-44-44001-20-112-2-22-22-12−3i3i−3i3i-11003i−3i00000000000000000000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000
χ574-4-44-44001-20-112-2-22-22-12−3i3i−3i3i-11003i−3i00000000000000000000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000
χ584-4-44-4400440-44-444-44-4-4-40000-44000000000000000000000000000000000000000
χ5988-8-8008-82-40-2-24400002-422-2-200-440000000000000000000000000000000000000
χ6088-8-800-882-40-2-24400002-4-2-222004-40000000000000000000000000000000000000
χ618-88-800002-402-2-440000-246i−6i−6i6i00000000000000000000000000000000000000000
χ628-88-800002-402-2-440000-24−6i6i6i−6i00000000000000000000000000000000000000000
χ638-88-80000-420-442-26-6-664-2000000000000000000000000000000000000000000000
χ648-88-80000-420-442-2-666-64-2000000000000000000000000000000000000000000000
χ658-8-888-800-4204-4-22-22-224-20000-44000000000000000000000000000000000000000
χ668-8-88-8800-4204-4-222-22-24-200004-4000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.