Finite Group Databasebeta

← Group #11866151

Character table — Group #11866151

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order1222443344666666121212121212121212121212121222444444224444442244661212121212126612128888
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
χ511111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ611111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ711111111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ811111111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1
χ91111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-111-1-111-1-11-11-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-11-1111-1-111-1-1-11-11-11-11
χ111111-1-1111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-1-111-1-1111-11-1-11-11
χ121111-1-1111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-1-111-1-111-11-111-11-1
χ131111-1-111-11111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-111-1-11
χ141111-1-111-11111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-111-111-1-1-1-111-111-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111111-1-11-1-11111-1-11-1-11-111-1
χ161111-1-111-11111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-111-1-1-11111-1-1-111-11-1-11
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-22200000000-2-22222-2-200000000000000000000
χ192222-2-2222-2222222-2-2-2-222-2-222-2-2-2-20000000022-2-222-2-200000000000000000000
χ202222-2-222-22222222-2-2-2-2-2-222-2-222-2-2000000002222-2-2-2-200000000000000000000
χ212-2-222-22200-2-22-2-2222-2-2000000002-2002i−2i2i−2i002-200002-2000000002i−2i2i−2i00000000
χ222-2-222-22200-2-22-2-2222-2-2000000002-200−2i2i−2i2i002-200002-200000000−2i2i−2i2i00000000
χ232-2-222-22200-2-22-2-2222-2-2000000002-22-200002-2-220000-2200002-22-2000000000000
χ242-2-222-22200-2-22-2-2222-2-2000000002-2-220000-22-220000-220000-22-22000000000000
χ252-2-22-222200-2-22-2-22-2-22200000000-22002i−2i−2i2i00-2200002-2000000002i−2i−2i2i00000000
χ262-2-22-222200-2-22-2-22-2-22200000000-2200−2i2i2i−2i00-2200002-200000000−2i2i2i−2i00000000
χ272-2-22-222200-2-22-2-22-2-22200000000-222-20000-222-20000-2200002-2-22000000000000
χ282-2-22-222200-2-22-2-22-2-22200000000-22-2200002-22-20000-220000-222-2000000000000
χ294444441-244-2-2111-21111-2-2-2-21111-2-222222222000000000000-1-1-1-1-1-1-1-100000000
χ304444441-244-2-2111-21111-2-2-2-21111-2-2-2-2-2-2-2-2-2-20000000000001111111100000000
χ314444441-2-4-4-2-2111-211112222-1-1-1-1-2-222-2-2-2-222000000000000-1-1-1-1111100000000
χ324444441-2-4-4-2-2111-211112222-1-1-1-1-2-2-2-22222-2-20000000000001111-1-1-1-100000000
χ33444444-214411-2-2-21-2-2-2-21111-2-2-2-2110000000000000000222200000000-1-1-1-10000
χ34444444-214411-2-2-21-2-2-2-21111-2-2-2-2110000000000000000-2-2-2-20000000011110000
χ35444444-21-4-411-2-2-21-2-2-2-2-1-1-1-1222211000000000000000022-2-200000000-1-1110000
χ36444444-21-4-411-2-2-21-2-2-2-2-1-1-1-12222110000000000000000-2-2220000000011-1-10000
χ374444-4-41-24-4-2-2111-2-1-1-1-1-2-22211-1-1222222-2-2-2-2000000000000-1-111-1-11100000000
χ384444-4-41-24-4-2-2111-2-1-1-1-1-2-22211-1-122-2-2-2-2222200000000000011-1-111-1-100000000
χ394444-4-41-2-44-2-2111-2-1-1-1-122-2-2-1-1112222-2-222-2-2000000000000-1-11111-1-100000000
χ404444-4-41-2-44-2-2111-2-1-1-1-122-2-2-1-11122-2-222-2-22200000000000011-1-1-1-11100000000
χ414444-4-4-214-411-2-2-21222211-1-1-2-222-1-100000000000000002-22-200000000-11-110000
χ424444-4-4-214-411-2-2-21222211-1-1-2-222-1-10000000000000000-22-22000000001-11-10000
χ434444-4-4-21-4411-2-2-212222-1-11122-2-2-1-100000000000000002-2-2200000000-111-10000
χ444444-4-4-21-4411-2-2-212222-1-11122-2-2-1-10000000000000000-222-2000000001-1-110000
χ4544-4-40044004-4-44-4-40000000000000000000000004i−4i000000000000000000000000
χ4644-4-40044004-4-44-4-4000000000000000000000000−4i4i000000000000000000000000
χ474-44-4004400-44-4-44-4000000000000000000000000004i−4i0000000000000000000000
χ484-44-4004400-44-4-44-400000000000000000000000000−4i4i0000000000000000000000
χ494-4-444-41-200221-1-1-211-1-100003i−3i3i−3i-222-22i−2i2i−2i2-2000000000000-11-11−ii−ii00000000
χ504-4-444-41-200221-1-1-211-1-100003i−3i3i−3i-22-22−2i2i−2i2i-220000000000001-11-1i−ii−i00000000
χ514-4-444-41-200221-1-1-211-1-10000−3i3i−3i3i-222-2−2i2i−2i2i2-2000000000000-11-11i−ii−i00000000
χ524-4-444-41-200221-1-1-211-1-10000−3i3i−3i3i-22-222i−2i2i−2i-220000000000001-11-1−ii−ii00000000
χ534-4-44-441-200221-1-1-2-1-11100003i−3i−3i3i2-22-22i−2i−2i2i-22000000000000-111-1−iii−i00000000
χ544-4-44-441-200221-1-1-2-1-11100003i−3i−3i3i2-2-22−2i2i2i−2i2-20000000000001-1-11i−i−ii00000000
χ554-4-44-441-200221-1-1-2-1-1110000−3i3i3i−3i2-22-2−2i2i2i−2i-22000000000000-111-1i−i−ii00000000
χ564-4-44-441-200221-1-1-2-1-1110000−3i3i3i−3i2-2-222i−2i−2i2i2-20000000000001-1-11−iii−i00000000
χ5788-8-8002-400-44-22-246i−6i6i−6i0000000000000000000000000000000000000000000000
χ5888-8-8002-400-44-22-24−6i6i−6i6i0000000000000000000000000000000000000000000000
χ5988-8-800-42002-24-44-20000006i−6i000000000000000000000000000000000000000000
χ6088-8-800-42002-24-44-2000000−6i6i000000000000000000000000000000000000000000
χ618-88-8002-4004-4-2-2246i−6i−6i6i0000000000000000000000000000000000000000000000
χ628-88-8002-4004-4-2-224−6i6i6i−6i0000000000000000000000000000000000000000000000
χ638-88-800-4200-2244-4-200006i−6i00000000000000000000000000000000000000000000
χ648-88-800-4200-2244-4-20000−6i6i00000000000000000000000000000000000000000000
χ658-8-888-8-4200-2-2-4442-4-444000000002-2000000000000000000000000000000000000
χ668-8-88-88-4200-2-2-444244-4-400000000-22000000000000000000000000000000000000

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