Finite Group Databasebeta

← Group #11785602

Character table — Group #11785602

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order122244336666668812121212121224242424242424242244888822448888444466121224242424121212128888
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
χ91-1-11-1111-1-111-1-11-1-1-111-1111-1-111-1-11-11-111-1-11-11-111-1-1i−ii−i1-11-111-1-1i−ii−ii−ii−i
χ101-1-11-1111-1-111-1-11-1-1-111-1111-1-111-1-11-11-111-1-11-11-111-1-1−ii−ii1-11-111-1-1−ii−ii−ii−ii
χ111-1-11-1111-1-111-1-11-1-1-111-1111-1-111-1-1-11-11-1-1111-11-111-1-1i−ii−i-11-11-1-111i−ii−i−ii−ii
χ121-1-11-1111-1-111-1-11-1-1-111-1111-1-111-1-1-11-11-1-1111-11-111-1-1−ii−ii-11-11-1-111−ii−iii−ii−i
χ131-1-11-1111-1-111-1-1-11-1-111-11-1-111-1-1111-11-1-1-1111-11-1-1-111i−i−ii1-11-1-1-111i−i−iii−i−ii
χ141-1-11-1111-1-111-1-1-11-1-111-11-1-111-1-1111-11-1-1-1111-11-1-1-111−iii−i1-11-1-1-111−iii−i−iii−i
χ151-1-11-1111-1-111-1-1-11-1-111-11-1-111-1-111-11-1111-1-11-11-1-1-111i−i−ii-11-1111-1-1i−i−ii−iii−i
χ161-1-11-1111-1-111-1-1-11-1-111-11-1-111-1-111-11-1111-1-11-11-1-1-111−iii−i-11-1111-1-1−iii−ii−i−ii
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
χ212222-2-22222222200-2-2-2-2-2-20000000022-2-20000-2-2220000000022-2-2000000000000
χ222222-2-22222222200-2-2-2-2-2-200000000-2-2220000-2-22200000000-2-222000000000000
χ232-2-222-222-2-222-2-20022-2-22-20000000000002i−2i−2i2i2-2-220000000000002i−2i−2i2i00000000
χ242-2-222-222-2-222-2-20022-2-22-2000000000000−2i2i2i−2i2-2-22000000000000−2i2i2i−2i00000000
χ252-2-222-222-2-222-2-20022-2-22-2000000002-2-220000-222-2000000002-2-22000000000000
χ262-2-222-222-2-222-2-20022-2-22-200000000-222-20000-222-200000000-222-2000000000000
χ272-2-22-2222-2-222-2-22-2-2-222-2222-2-222-2-200000000-22-22-2-22200000000000000000000
χ282-2-22-2222-2-222-2-2-22-2-222-22-2-222-2-22200000000-22-2222-2-200000000000000000000
χ294444441-2-2-21-21144-2-2-2-211-2-2-2-211110000000000000000222200000000-1-1-1-10000
χ304444441-2-2-21-21144-2-2-2-211-2-2-2-211110000000000000000-2-2-2-20000000011110000
χ314444441-2-2-21-211-4-4-2-2-2-2112222-1-1-1-1000000000000000022-2-200000000-1-1110000
χ324444441-2-2-21-211-4-4-2-2-2-2112222-1-1-1-10000000000000000-2-2220000000011-1-10000
χ33444444-2111-21-2-2441111-2-21111-2-2-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ34444444-2111-21-2-2441111-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ35444444-2111-21-2-2-4-41111-2-2-1-1-1-122222222-2-2-2-2000000000000-1-1-1-1111100000000
χ36444444-2111-21-2-2-4-41111-2-2-1-1-1-12222-2-2-2-222220000000000001111-1-1-1-100000000
χ374444-4-4-2111-21-2-200-1-1-1-1223i−3i3i−3i000022-2-22i−2i2i−2i000000000000-1-111−ii−ii00000000
χ384444-4-4-2111-21-2-200-1-1-1-1223i−3i3i−3i0000-2-222−2i2i−2i2i00000000000011-1-1i−ii−i00000000
χ394444-4-4-2111-21-2-200-1-1-1-122−3i3i−3i3i000022-2-2−2i2i−2i2i000000000000-1-111i−ii−i00000000
χ404444-4-4-2111-21-2-200-1-1-1-122−3i3i−3i3i0000-2-2222i−2i2i−2i00000000000011-1-1−ii−ii00000000
χ4144-4-400444-4-4-44-400000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ4244-4-400444-4-4-44-40000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ434-44-40044-44-4-4-4400000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ444-44-40044-44-4-4-440000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ454-4-444-4-21-1-1-21220011-1-1-223i−3i−3i3i00002-2-222i−2i−2i2i000000000000-111-1−iii−i00000000
χ464-4-444-4-21-1-1-21220011-1-1-223i−3i−3i3i0000-222-2−2i2i2i−2i0000000000001-1-11i−i−ii00000000
χ474-4-444-4-21-1-1-21220011-1-1-22−3i3i3i−3i00002-2-22−2i2i2i−2i000000000000-111-1i−i−ii00000000
χ484-4-444-4-21-1-1-21220011-1-1-22−3i3i3i−3i0000-222-22i−2i−2i2i0000000000001-1-11−iii−i00000000
χ494-4-44-441-2221-2-1-14-422-2-2-11-2-22211-1-100000000000000002i−2i2i−2i00000000−ii−ii0000
χ504-4-44-441-2221-2-1-14-422-2-2-11-2-22211-1-10000000000000000−2i2i−2i2i00000000i−ii−i0000
χ514-4-44-441-2221-2-1-1-4422-2-2-1122-2-2-1-11100000000000000002i−2i−2i2i00000000−iii−i0000
χ524-4-44-441-2221-2-1-1-4422-2-2-1122-2-2-1-1110000000000000000−2i2i2i−2i00000000i−i−ii0000
χ534-4-44-44-21-1-1-21224-4-1-1112-211-1-1-2-2222-22-222-2-2000000000000-11-11-1-11100000000
χ544-4-44-44-21-1-1-21224-4-1-1112-211-1-1-2-222-22-22-2-2220000000000001-11-111-1-100000000
χ554-4-44-44-21-1-1-2122-44-1-1112-2-1-11122-2-22-22-2-2-222000000000000-11-1111-1-100000000
χ564-4-44-44-21-1-1-2122-44-1-1112-2-1-11122-2-2-22-2222-2-20000000000001-11-1-1-11100000000
χ578888-8-82-4-4-42-422004444-2-200000000000000000000000000000000000000000000
χ5888-8-8002-4-44-242-20000000000003i2−3i23i2−3i2000000000000000000000000000000000000
χ5988-8-8002-4-44-242-2000000000000−3i23i2−3i23i2000000000000000000000000000000000000
χ6088-8-800-422-24-2-44006i−6i6i−6i0000000000000000000000000000000000000000000000
χ6188-8-800-422-24-2-4400−6i6i−6i6i0000000000000000000000000000000000000000000000
χ628-88-8002-44-4-24-220000000000003i2−3i2−3i23i2000000000000000000000000000000000000
χ638-88-8002-44-4-24-22000000000000−3i23i23i2−3i2000000000000000000000000000000000000
χ648-88-800-42-224-24-4006i−6i−6i6i0000000000000000000000000000000000000000000000
χ658-88-800-42-224-24-400−6i6i6i−6i0000000000000000000000000000000000000000000000
χ668-8-888-82-4442-4-2-200-4-4442-200000000000000000000000000000000000000000000

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