Finite Group Databasebeta

← Group #11787751

Character table — Group #11787751

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244223366666666661212121244444444121212126622442288121212121212242424244444446688
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111-1-111111111-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ7111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ8111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ91-1-11-111-111-1-111-1-111-1-11-1-11i−ii−iii−i−iii−i−i1-11-11-11-11-1i−iii−i−i11-1-11-1ii−i−i1-1i−i
χ101-1-11-111-111-1-111-1-111-1-11-1-11i−ii−iii−i−iii−i−i1-11-11-1-11-11i−iii−i−i-1-1111-1−i−iii-11−ii
χ111-1-11-111-111-1-111-1-111-1-11-1-11−ii−ii−i−iii−i−iii1-11-11-11-11-1−ii−i−iii11-1-11-1−i−iii1-1−ii
χ121-1-11-111-111-1-111-1-111-1-11-1-11−ii−ii−i−iii−i−iii1-11-11-1-11-11−ii−i−iii-1-1111-1ii−i−i-11i−i
χ131-1-11-11-1111-1-111-1-1-1-1111-1-11i−ii−i−i−iiiii−i−i-111-11-11-1-11i−i−i−iii-1-111-11−i−iii1-1i−i
χ141-1-11-11-1111-1-111-1-1-1-1111-1-11i−ii−i−i−iiiii−i−i-111-11-1-111-1i−i−i−iii11-1-1-11ii−i−i-11−ii
χ151-1-11-11-1111-1-111-1-1-1-1111-1-11−ii−iiii−i−i−i−iii-111-11-11-1-11−iiii−i−i-1-111-11ii−i−i1-1−ii
χ161-1-11-11-1111-1-111-1-1-1-1111-1-11−ii−iiii−i−i−i−iii-111-11-1-111-1−iiii−i−i11-1-1-11−i−iii-11i−i
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-2-222222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-200222222220000-2-2-2-200002-22-200000022-2-20000002-22-200000000000000
χ202222-2-200222222220000-2-2-2-20000-22-2200000022-2-2000000-22-2200000000000000
χ212222-2-200222222220000-2-2-2-222-2-20000-2-2-2-200-2-222000022000000000000000000
χ222222-2-200222222220000-2-2-2-2-2-2220000222200-2-2220000-2-2000000000000000000
χ232-2-222-20022-2-222-2-20000-222-200002i−2i−2i2i0000002-2-220000002i−2i−2i2i00000000000000
χ242-2-222-20022-2-222-2-20000-222-20000−2i2i2i−2i0000002-2-22000000−2i2i2i−2i00000000000000
χ252-2-222-20022-2-222-2-20000-222-22i−2i−2i2i0000−2i−2i2i2i00-222-200002i−2i000000000000000000
χ262-2-222-20022-2-222-2-20000-222-2−2i2i2i−2i00002i2i−2i−2i00-222-20000−2i2i000000000000000000
χ272-2-22-222-222-2-222-2-222-2-22-2-220000000000002-2-22-2200000000000000-2200000000
χ282-2-22-22-2222-2-222-2-2-2-2222-2-22000000000000-22-22-22000000000000002-200000000
χ29444444441-2-2-21-211111111-2-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ30444444441-2-2-21-211111111-2-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ3144444444-2111-21-2-2-2-2-2-2-2-2110000000000001100002222000000-1-1-1-1000000-1-100
χ3244444444-2111-21-2-2-2-2-2-2-2-211000000000000110000-2-2-2-200000011110000001100
χ33444444-4-41-2-2-21-211-1-1-1-111-2-22222-2-2-2-2-1-1-1-12200000000-1-1111100000000000000
χ34444444-4-41-2-2-21-211-1-1-1-111-2-2-2-2-2-222221111220000000011-1-1-1-100000000000000
χ35444444-4-4-2111-21-2-22222-2-211000000000000-1-1000022-2-20000001111000000-1-100
χ36444444-4-4-2111-21-2-22222-2-211000000000000-1-10000-2-222000000-1-1-1-10000001100
χ374444-4-4001-2-2-21-2113-33-3-1-12222-2-22-22-211110000000000-1-1-11-1100000000000000
χ384444-4-4001-2-2-21-2113-33-3-1-122-2-222-22-22-1-1-1-10000000000111-11-100000000000000
χ394444-4-4001-2-2-21-211-33-33-1-12222-2-2-22-2211110000000000-1-11-11-100000000000000
χ404444-4-4001-2-2-21-211-33-33-1-122-2-2222-22-2-1-1-1-1000000000011-11-1100000000000000
χ4144-4-40000444-4-4-44-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-40000444-4-4-44-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-4000044-44-4-4-440000000000000000000000000000000000000000002-2-220000
χ444-44-4000044-44-4-4-44000000000000000000000000000000000000000000-222-20000
χ454-4-444-4001-2221-2-1-13-3-33-11-222i−2i−2i2i2i−2i−2i2iii−i−i0000000000−ii−iii−i00000000000000
χ464-4-444-4001-2221-2-1-13-3-33-11-22−2i2i2i−2i−2i2i2i−2i−i−iii0000000000i−ii−i−ii00000000000000
χ474-4-444-4001-2221-2-1-1-333-3-11-222i−2i−2i2i−2i2i2i−2iii−i−i0000000000−iii−i−ii00000000000000
χ484-4-444-4001-2221-2-1-1-333-3-11-22−2i2i2i−2i2i−2i−2i2i−i−iii0000000000i−i−iii−i00000000000000
χ494-4-44-444-41-2221-2-1-111-1-11-12-22i−2i2i−2i2i2i−2i−2i−i−iii-2200000000−ii−i−iii00000000000000
χ504-4-44-444-41-2221-2-1-111-1-11-12-2−2i2i−2i2i−2i−2i2i2iii−i−i-2200000000i−iii−i−i00000000000000
χ514-4-44-444-4-21-1-1-2122-2-222-22-110000000000001-100002-22-2000000-1-111000000-1100
χ524-4-44-444-4-21-1-1-2122-2-222-22-110000000000001-10000-22-2200000011-1-10000001-100
χ534-4-44-44-441-2221-2-1-1-1-1111-12-22i−2i2i−2i−2i−2i2i2i−i−iii2-200000000−iiii−i−i00000000000000
χ544-4-44-44-441-2221-2-1-1-1-1111-12-2−2i2i−2i2i2i2i−2i−2iii−i−i2-200000000i−i−i−iii00000000000000
χ554-4-44-44-44-21-1-1-212222-2-2-22-11000000000000-1100002-2-2200000011-1-1000000-1100
χ564-4-44-44-44-21-1-1-212222-2-2-22-11000000000000-110000-222-2000000-1-1110000001-100
χ578888-8-800-4222-42-4-4000044-2-2000000000000000000000000000000000000000000
χ5888-8-800002-4-44-242-2000000000000000023−2323−23000000000000000000000000000000
χ5988-8-800002-4-44-242-20000000000000000−2323−2323000000000000000000000000000000
χ6088-8-80000-422-24-2-44000000000000000000000000000000000000i6−i6i6−i60000000000
χ6188-8-80000-422-24-2-44000000000000000000000000000000000000−i6i6−i6i60000000000
χ628-88-800002-44-4-24-220000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ638-88-800002-44-4-24-2200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ648-88-80000-42-224-24-4000000000000000000000000000000000000i6−i6−i6i60000000000
χ658-88-80000-42-224-24-4000000000000000000000000000000000000−i6i6i6−i60000000000
χ668-8-888-800-42-2-2-424400004-42-2000000000000000000000000000000000000000000

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