Finite Group Databasebeta

← Group #10831131

Character table — Group #10831131

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444444444444488888888888816161616161616161616161624242424242424242424242424242424
order1244222344461212224466688881212122424242466881212242424242424888824242424242424242222244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111
χ5111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1111-1-1-1-1
χ6111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-1-11111
χ7111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-111111-1-1-1-1
χ911111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-11-11-111-11-11-1-1-1-111
χ1011111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-1-11-11-1-11-11-11111-1-1
χ1111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1111-11-1-11-11-1-11111-1-1
χ1211111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-111-11-111-11-111-1-1-1-111
χ1311111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111-1-1111-1-111-1-111-1-1
χ1411111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-111-1-1-111-1-111-1-111
χ1511111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-11-1-11-11-1-11-111-1-111
χ1611111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1-111-11-111-11-1-111-1-1
χ172222222-1222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ182222222-1222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ192222222-1222-1-1-12222-1-1-1-2-2-2-2-1-1-11111-1-1-2-2-1-111111122-2-2-1-1-1-111110000000000000000
χ202222222-1222-1-1-12222-1-1-1-2-2-2-2-1-1-11111-1-1-2-2-1-1111111-2-2221111-1-1-1-10000000000000000
χ212222222-1222-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-111-2-211-1-111112-22-2-1-111-1-1110000000000000000
χ222222222-1222-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-111-2-211-1-11111-22-2211-1-111-1-10000000000000000
χ232222222-1222-1-1-1-2-2-2-2-1-1-1-2-2-2-2-1-1-1111111221111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ242222222-1222-1-1-1-2-2-2-2-1-1-1-2-2-2-2-1-1-1111111221111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ252222-2-222-2-222222-22-22-2-222-2-22-2-222222-22-22-2-2-222-2-20000000000000000000000000000
χ262222-2-222-2-222222-22-22-2-2-2-2222-2-2-2-2-2-22-2-222-222-2-2220000000000000000000000000000
χ272222-2-222-2-22222-22-222-2-222-2-22-2-22222-22-22-22-2-2-2-2220000000000000000000000000000
χ282222-2-222-2-22222-22-222-2-2-2-2222-2-2-2-2-2-2-222-2-222222-2-20000000000000000000000000000
χ292222-2-22-1-2-22-1-1-12-22-2-11122-2-2-111-1-1-1-1-112-2-1111-1-11100003−33−33−33−30000000000000000
χ302222-2-22-1-2-22-1-1-12-22-2-11122-2-2-111-1-1-1-1-112-2-1111-1-1110000−33−33−33−330000000000000000
χ312222-2-22-1-2-22-1-1-12-22-2-111-2-222-1111111-11-22-11-1-111-1-100003−33−3−33−330000000000000000
χ322222-2-22-1-2-22-1-1-12-22-2-111-2-222-1111111-11-22-11-1-111-1-10000−33−333−33−30000000000000000
χ332222-2-22-1-2-22-1-1-1-22-22-11122-2-2-111-1-1-1-11-1-221-11111-1-100003−3−333−3−330000000000000000
χ342222-2-22-1-2-22-1-1-1-22-22-11122-2-2-111-1-1-1-11-1-221-11111-1-10000−333−3−333−30000000000000000
χ352222-2-22-1-2-22-1-1-1-22-22-111-2-222-11111111-12-21-1-1-1-1-11100003−3−33−333−30000000000000000
χ362222-2-22-1-2-22-1-1-1-22-22-111-2-222-11111111-12-21-1-1-1-1-1110000−333−33−3−330000000000000000
χ3722-2-22222-2-2-22-2-22-2-222220000-2-2-200002-200-220000000000000000000000000000002i−2i2i−2i
χ3822-2-22222-2-2-22-2-22-2-222220000-2-2-200002-200-22000000000000000000000000000000−2i2i−2i2i
χ3922-2-22222-2-2-22-2-2-222-22220000-2-2-20000-22002-20000000000000000000000000000002i−2i−2i2i
χ4022-2-22222-2-2-22-2-2-222-22220000-2-2-20000-22002-2000000000000000000000000000000−2i2i2i−2i
χ4122-2-22-2-222-222-2-20000-22-22-22-222-222-2-20000002-2000000000000000020200-20-200000000
χ4222-2-22-2-222-222-2-20000-22-22-22-222-222-2-20000002-20000000000000000-20-20020200000000
χ4322-2-22-2-222-222-2-20000-22-2-22-2222-2-2-222000000-22000000000000000020-200-20200000000
χ4422-2-22-2-222-222-2-20000-22-2-22-2222-2-2-222000000-220000000000000000-2020020-200000000
χ4522-2-2-22-22-2222-2-20000-2-222-2-222-2222-2-2000000-220000000000000000020200-20-20000000
χ4622-2-2-22-22-2222-2-20000-2-222-2-222-2222-2-2000000-2200000000000000000-20-2002020000000
χ4722-2-2-22-22-2222-2-20000-2-22-222-22-22-2-2220000002-20000000000000000020-200-2020000000
χ4822-2-2-22-22-2222-2-20000-2-22-222-22-22-2-2220000002-200000000000000000-2020020-20000000
χ4922-2-2-2-22222-22-2-222-2-22-2-20000-22200002200-2-2000000000000000000000020000-22-20000
χ5022-2-2-2-22222-22-2-222-2-22-2-20000-22200002200-2-20000000000000000000000-200002-220000
χ5122-2-2-2-22222-22-2-2-2-2222-2-20000-2220000-2-20022000000000000000000000020000-2-220000
χ5222-2-2-2-22222-22-2-2-2-2222-2-20000-2220000-2-200220000000000000000000000-2000022-20000
χ5344444-4-44-44-44440000-44-40000-4-4400000000000000000000000000000000000000000000
χ5444444-4-4-2-44-4-2-2-200002-22000022-200000000000023−2323−230000000000000000000000000000
χ5544444-4-4-2-44-4-2-2-200002-22000022-2000000000000−2323−23230000000000000000000000000000
χ564444-44-444-4-44440000-4-440000-44-400000000000000000000000000000000000000000000
χ574444-44-4-24-4-4-2-2-2000022-200002-2200000000000023−23−23230000000000000000000000000000
χ584444-44-4-24-4-4-2-2-2000022-200002-22000000000000−232323−230000000000000000000000000000
χ5944-4-4444-2-4-4-4-2224-4-44-2-2-200002220000-22002-20000000000000000000000000000000000
χ6044-4-4444-2-4-4-4-222-444-4-2-2-2000022200002-200-220000000000000000000000000000000000
χ6144-4-44-4-4-24-44-22200002-224-44-4-2-22-2-222000000-2200000000000000000000000000000000
χ6244-4-44-4-4-24-44-22200002-22-44-44-2-2222-2-20000002-200000000000000000000000000000000
χ6344-4-4-44-4-2-444-222000022-24-4-44-22-2-2-2220000002-200000000000000000000000000000000
χ6444-4-4-44-4-2-444-222000022-2-444-4-22-222-2-2000000-2200000000000000000000000000000000
χ6544-4-4-4-44-244-4-22244-4-4-22200002-2-20000-2-200220000000000000000000000000000000000
χ6644-4-4-4-44-244-4-222-4-444-22200002-2-200002200-2-20000000000000000000000000000000000
χ678-88i−8i0008000-88i−8i0000000000000000000000000000000000000000000000000000000000
χ688-88i−8i000-40004−4i4i0000000000000026−262i6−2i60000000000000000000000000000000000000000
χ698-88i−8i000-40004−4i4i00000000000000−2626−2i62i60000000000000000000000000000000000000000
χ708-8−8i8i0008000-8−8i8i0000000000000000000000000000000000000000000000000000000000
χ718-8−8i8i000-400044i−4i0000000000000026−26−2i62i60000000000000000000000000000000000000000
χ728-8−8i8i000-400044i−4i00000000000000−26262i6−2i60000000000000000000000000000000000000000

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