Finite Group Databasebeta

← Group #11922300

Character table — Group #11922300

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order1222344666121222444444366612121212661212366612121212448812121212121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ3111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-1111-1-111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-111-11-1
χ611111-1-1111-1-1-1-1111-1-111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-111-11-11-11
χ711111-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-1-1-1-1-1111111-1-11-1-11-11
χ811111-1-1111-1-1-1-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1111-11-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000220000
χ10222222222222222-2-2-2-22-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000111111110000-2-20000
χ1122222-2-2222-2-2-2-2222-2-22-1-1-1-11111-2-222-1-1-1-1111100000000-1-1-1-111110000-220000
χ1222222-2-2222-2-2-2-22-2-2222-1-1-1-11111-2-222-1-1-1-11111000000001111-1-1-1-100002-20000
χ132222-122-1-1-1-1-12220000222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000-1-1-1-1000000
χ142222-122-1-1-1-1-12220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000000001111000000
χ152222-1-2-2-1-1-111-2-22000022222-2-2-2-211-1-1-1-1-1-111112-22-2-1-11100000000-1-111000000
χ162222-1-2-2-1-1-111-2-22000022222-2-2-2-211-1-1-1-1-1-11111-22-2211-1-10000000011-1-1000000
χ1722-2-222-2-22-22-22-220000-222-2-222-2-22-22-22-2-2222-2-200000000000000000000000000
χ1822-2-222-2-22-22-22-220000-2-1-111-1-1112-22-2-111-1-1-1110000000033−3−333−3−30000000000
χ1922-2-222-2-22-22-22-220000-2-1-111-1-1112-22-2-111-1-1-11100000000−3−333−3−3330000000000
χ2022-2-22-22-22-2-22-2220000-222-2-2-2-222-222-22-2-22-2-22200000000000000000000000000
χ2122-2-22-22-22-2-22-2220000-2-1-11111-1-1-222-2-111-111-1-10000000033−3−3−3−3330000000000
χ2222-2-22-22-22-2-22-2220000-2-1-11111-1-1-222-2-111-111-1-100000000−3−33333−3−30000000000
χ2322-2-2-12-21-11-112-220000-222-2-222-2-2-11-11-111-1-1-11100003−33−3000000003−33−3000000
χ2422-2-2-12-21-11-112-220000-222-2-222-2-2-11-11-111-1-1-1110000−33−3300000000−33−33000000
χ2522-2-2-1-221-111-1-2220000-222-2-2-2-2221-1-11-111-111-1-100003−3−33000000003−3−33000000
χ2622-2-2-1-221-111-1-2220000-222-2-2-2-2221-1-11-111-111-1-10000−333−300000000−333−3000000
χ27333333333333-1-1-13333-100000000-1-1-1-10000000011-1-1111100000000-1-1-1-1-1-111-1-1
χ28333333333333-1-1-13333-100000000-1-1-1-100000000-1-111-1-1-1-1000000001111-1-1-1-111
χ29333333333333-1-1-1-3-3-3-3-100000000-1-1-1-10000000011-1-1111100000000-1-1-1-111-1-111
χ30333333333333-1-1-1-3-3-3-3-100000000-1-1-1-100000000-1-111-1-1-1-10000000011111111-1-1
χ3133333-3-3333-3-311-133-3-3-10000000011-1-1000000001-1-1111-1-100000000-1-1111-11-1-11
χ3233333-3-3333-3-311-133-3-3-10000000011-1-100000000-111-1-1-1110000000011-1-11-1-111-1
χ3333333-3-3333-3-311-1-3-333-10000000011-1-1000000001-1-1111-1-100000000-1-111-11-111-1
χ3433333-3-3333-3-311-1-3-333-10000000011-1-100000000-111-1-1-1110000000011-1-1-111-1-11
χ354444-244-2-2-2-2-244400004-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-2-4-4-2-2-222-4-4400004-2-2-2-2222222-2-21111-1-1-1-100000000000000000000000000
χ3744-4-4-24-42-22-224-440000-4-2-222-2-222-22-221-1-1111-1-100000000000000000000000000
χ3844-4-4-2-442-222-2-4440000-4-2-22222-2-22-2-221-1-11-1-11100000000000000000000000000
χ394-44-4400-4-4400000004i−4i01-11-13−33−3000011-1-13−33−300000000−i3i3−i3i3i−ii−i0000000000
χ404-44-4400-4-4400000004i−4i01-11-1−33−33000011-1-1−33−3300000000i3−i3i3−i3i−ii−i0000000000
χ414-44-4400-4-4400000004i−4i0-22-2200000000-2-2220000000000000000−2i2i−2i2i0000000000
χ424-44-4400-4-440000000−4i4i01-11-13−33−3000011-1-13−33−300000000i3−i3i3−i3−ii−ii0000000000
χ434-44-4400-4-440000000−4i4i01-11-1−33−33000011-1-1−33−3300000000−i3i3−i3i3−ii−ii0000000000
χ444-44-4400-4-440000000−4i4i0-22-2200000000-2-22200000000000000002i−2i2i−2i0000000000
χ454-4-444004-4-4000004i−4i0001-1-113−3−3300001-11-13−3−3300000000i−i−iii3−i3−i3i30000000000
χ464-4-444004-4-4000004i−4i0001-1-11−333−300001-11-1−333−300000000i−i−ii−i3i3i3−i30000000000
χ474-4-444004-4-4000004i−4i000-222-200000000-22-22000000000000−2i2i2i−2i00000000000000
χ484-4-444004-4-400000−4i4i0001-1-113−3−3300001-11-13−3−3300000000−iii−i−i3i3i3−i30000000000
χ494-4-444004-4-400000−4i4i0001-1-11−333−300001-11-1−333−300000000−iii−ii3−i3−i3i30000000000
χ504-4-444004-4-400000−4i4i000-222-200000000-22-220000000000002i−2i−2i2i00000000000000
χ516666-366-3-3-3-3-3-2-2-20000-20000000011110000000022-2-2-1-1-1-1000000001111000000
χ526666-366-3-3-3-3-3-2-2-20000-200000000111100000000-2-222111100000000-1-1-1-1000000
χ536666-3-6-6-3-3-33322-20000-200000000-1-111000000002-2-22-1-1110000000011-1-1000000
χ546666-3-6-6-3-3-33322-20000-200000000-1-11100000000-222-211-1-100000000-1-111000000
χ5566-6-666-6-66-66-6-22-20000200000000-22-220000000000000000000000000000000000
χ5666-6-66-66-66-6-662-2-200002000000002-2-220000000000000000000000000000000000
χ5766-6-6-36-63-33-33-22-200002000000001-11-10000000000003−33−300000000−33−33000000
χ5866-6-6-36-63-33-33-22-200002000000001-11-1000000000000−33−33000000003−33−3000000
χ5966-6-6-3-663-333-32-2-20000200000000-111-10000000000003−3−3300000000−333−3000000
χ6066-6-6-3-663-333-32-2-20000200000000-111-1000000000000−333−3000000003−3−33000000
χ618-88-8-40044-400000000002-22-223−2323−230000-1-111−33−3300000000000000000000000000
χ628-88-8-40044-400000000002-22-2−2323−23230000-1-1113−33−300000000000000000000000000
χ638-88-8-40044-40000000000-44-440000000022-2-2000000000000000000000000000000
χ648-8-88-400-44400000000002-2-2223−23−23230000-11-11−333−300000000000000000000000000
χ658-8-88-400-44400000000002-2-22−232323−230000-11-113−3−3300000000000000000000000000
χ668-8-88-400-4440000000000-444-4000000002-22-2000000000000000000000000000000

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