Finite Group Databasebeta

← Group #11789687

Character table — Group #11789687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order122244336666668812121212121224242424242424244444888822448888224412121212242424246612128888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ711111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ91-11-11-111-111-1-1-1i−i-1-1111-1ii−i−iii−i−ii−ii−i11-1-11-11-1ii−i−i1-1i−iii−i−i11-1-11-1i−ii−i1-1
χ101-11-11-111-111-1-1-1i−i-1-1111-1ii−i−iii−i−ii−ii−i11-1-11-11-1ii−i−i-11−iiii−i−i11-1-1-11−ii−ii-11
χ111-11-11-111-111-1-1-1i−i-1-1111-1ii−i−iii−i−i−ii−ii-1-1111-11-1ii−i−i1-1i−i−i−iii-1-1111-1i−i−ii-11
χ121-11-11-111-111-1-1-1i−i-1-1111-1ii−i−iii−i−i−ii−ii-1-1111-11-1ii−i−i-11−ii−i−iii-1-111-11−iii−i1-1
χ131-11-11-111-111-1-1-1−ii-1-1111-1−i−iii−i−iiii−ii−i-1-1111-11-1−i−iii1-1−iiii−i−i-1-1111-1−iii−i-11
χ141-11-11-111-111-1-1-1−ii-1-1111-1−i−iii−i−iiii−ii−i-1-1111-11-1−i−iii-11i−iii−i−i-1-111-11i−i−ii1-1
χ151-11-11-111-111-1-1-1−ii-1-1111-1−i−iii−i−iii−ii−ii11-1-11-11-1−i−iii1-1−ii−i−iii11-1-11-1−ii−ii1-1
χ161-11-11-111-111-1-1-1−ii-1-1111-1−i−iii−i−iii−ii−ii11-1-11-11-1−i−iii-11i−i−i−iii11-1-1-11i−ii−i-11
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000000000000000
χ192222-2-22222222200-2-2-2-2-2-20000000000002i−2i2i−2i22-2-20000000000002i−2i2i−2i00000000
χ202222-2-22222222200-2-2-2-2-2-2000000000000−2i2i−2i2i22-2-2000000000000−2i2i−2i2i00000000
χ212222-2-22222222200-2-2-2-2-2-20000000022-2-20000-2-222000000002-22-2000000000000
χ222222-2-22222222200-2-2-2-2-2-200000000-2-2220000-2-22200000000-22-22000000000000
χ232-22-22-222-222-2-2-22i−2i-2-2222-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i−2i2i2i00000000000000000000
χ242-22-22-222-222-2-2-2−2i2i-2-2222-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i2i−2i−2i00000000000000000000
χ252-22-2-2222-222-2-2-20022-2-2-220000000000002i−2i−2i2i2-2-220000000000002i−2i−2i2i00000000
χ262-22-2-2222-222-2-2-20022-2-2-22000000000000−2i2i2i−2i2-2-22000000000000−2i2i2i−2i00000000
χ272-22-2-2222-222-2-2-20022-2-2-22000000002i−2i−2i2i0000-222-2000000002i−2i−2i2i000000000000
χ282-22-2-2222-222-2-2-20022-2-2-2200000000−2i2i2i−2i0000-222-200000000−2i2i2i−2i000000000000
χ294444441-2-21-211-2441111-2-21111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ304444441-2-21-211-2441111-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ314444441-2-21-211-2-4-41111-2-2-1-1-1-122222222-2-2-2-2000000000000-1-1-1-1111100000000
χ324444441-2-21-211-2-4-41111-2-2-1-1-1-12222-2-2-2-222220000000000001111-1-1-1-100000000
χ33444444-211-21-2-2144-2-2-2-211-2-2-2-211110000000000000000222200000000-1-1-1-10000
χ34444444-211-21-2-2144-2-2-2-211-2-2-2-211110000000000000000-2-2-2-20000000011110000
χ35444444-211-21-2-21-4-4-2-2-2-2112222-1-1-1-1000000000000000022-2-200000000-1-1110000
χ36444444-211-21-2-21-4-4-2-2-2-2112222-1-1-1-10000000000000000-2-2220000000011-1-10000
χ374444-4-41-2-21-211-200-1-1-1-1223i−3i3i−3i000022-2-22i−2i2i−2i000000000000-11-11−ii−ii00000000
χ384444-4-41-2-21-211-200-1-1-1-1223i−3i3i−3i0000-2-222−2i2i−2i2i0000000000001-11-1i−ii−i00000000
χ394444-4-41-2-21-211-200-1-1-1-122−3i3i−3i3i000022-2-2−2i2i−2i2i000000000000-11-11i−ii−i00000000
χ404444-4-41-2-21-211-200-1-1-1-122−3i3i−3i3i0000-2-2222i−2i2i−2i0000000000001-11-1−ii−ii00000000
χ4144-4-400444-4-44-4-400000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4244-4-400444-4-44-4-40000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ434-44-44-41-221-2-1-124i−4i-1-111-22ii−i−i−2i−2i2i2i2i−2i2i−2i22-2-2000000000000−i−iii-1-11100000000
χ444-44-44-41-221-2-1-124i−4i-1-111-22ii−i−i−2i−2i2i2i−2i2i−2i2i-2-222000000000000ii−i−i11-1-100000000
χ454-44-44-41-221-2-1-12−4i4i-1-111-22−i−iii2i2i−2i−2i2i−2i2i−2i-2-222000000000000−i−iii11-1-100000000
χ464-44-44-41-221-2-1-12−4i4i-1-111-22−i−iii2i2i−2i−2i−2i2i−2i2i22-2-2000000000000ii−i−i-1-11100000000
χ474-44-44-4-21-1-2122-14i−4i22-2-21-1−2i−2i2i2iii−i−i00000000000000002-22i−2i00000000-11−ii0000
χ484-44-44-4-21-1-2122-14i−4i22-2-21-1−2i−2i2i2iii−i−i0000000000000000-22−2i2i000000001-1i−i0000
χ494-44-44-4-21-1-2122-1−4i4i22-2-21-12i2i−2i−2i−i−iii00000000000000002-2−2i2i00000000-11i−i0000
χ504-44-44-4-21-1-2122-1−4i4i22-2-21-12i2i−2i−2i−i−iii0000000000000000-222i−2i000000001-1−ii0000
χ514-44-4-441-221-2-1-120011-1-12-23-3-3300002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii00000000
χ524-44-4-441-221-2-1-120011-1-12-23-3-330000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i00000000
χ534-44-4-441-221-2-1-120011-1-12-2-333-300002i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i00000000
χ544-44-4-441-221-2-1-120011-1-12-2-333-30000−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii00000000
χ554-4-440044-4-4-4-444000000000000000000000000000022−22−222200000000000000000000
χ564-4-440044-4-4-4-4440000000000000000000000000000−222222−2200000000000000000000
χ578888-8-8-422-42-4-42004444-2-200000000000000000000000000000000000000000000
χ5888-8-8002-4-4-242-24006i−6i6i−6i0000000000000000000000000000000000000000000000
χ5988-8-8002-4-4-242-2400−6i6i−6i6i0000000000000000000000000000000000000000000000
χ6088-8-800-4224-2-44-20000000000003i2−3i23i2−3i2000000000000000000000000000000000000
χ6188-8-800-4224-2-44-2000000000000−3i23i2−3i23i2000000000000000000000000000000000000
χ628-88-8-88-42-2-4244-200-4-444-2200000000000000000000000000000000000000000000
χ638-8-88002-44-24-22-4006i−6i−6i6i0000000000000000000000000000000000000000000000
χ648-8-88002-44-24-22-400−6i6i6i−6i0000000000000000000000000000000000000000000000
χ658-8-8800-42-24-24-4200000000000032−32−3232000000000000000000000000000000000000
χ668-8-8800-42-24-24-42000000000000−323232−32000000000000000000000000000000000000

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