Finite Group Databasebeta

← Group #11778537

Character table — Group #11778537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order122222334466666666661212121266121212121212244444446612121212121212121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-111-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1111111-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-111-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ1022222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-220000
χ112222-2-222002-2-2-222222-20000-2-200000002-200000000022-2-2000000002-200000
χ122222-2-222002-2-2-222222-20000-2-20000000-22000000000-2-222000000002-200000
χ132222-2-222002-2-2-222222-20000-2-2000000200-2000022-2-2000000000000-2200000
χ142222-2-222002-2-2-222222-20000-2-2000000-20020000-2-222000000000000-2200000
χ152-2-222-2222i−2i-222-2-22-2-22-22i2i−2i−2i2-22i2i−2i−2i2i−2i0000000000000000000000000002−2−i2i2
χ162-2-222-2222i−2i-222-2-22-2-22-22i2i−2i−2i2-22i2i−2i−2i2i−2i000000000000000000000000000−22i2−i2
χ172-2-222-222−2i2i-222-2-22-2-22-2−2i−2i2i2i2-2−2i−2i2i2i−2i2i0000000000000000000000000002−2i2−i2
χ182-2-222-222−2i2i-222-2-22-2-22-2−2i−2i2i2i2-2−2i−2i2i2i−2i2i000000000000000000000000000−22−i2i2
χ194444441-24411111-2-2-211-2-2-2-2-2-21111-2-20000222200000000-1-1-1-1-1-1-1-10000000
χ204444441-24411111-2-2-211-2-2-2-2-2-21111-2-20000-2-2-2-200000000111111110000000
χ214444441-2-4-411111-2-2-2112222-2-2-1-1-1-122000022-2-200000000-1-1-1-111110000000
χ224444441-2-4-411111-2-2-2112222-2-2-1-1-1-1220000-2-222000000001111-1-1-1-10000000
χ23444444-2144-2-2-2-2-2111-2-2111111-2-2-2-21122220000-1-1-1-1-1-1-1-1000000000000000
χ24444444-2144-2-2-2-2-2111-2-2111111-2-2-2-211-2-2-2-2000011111111000000000000000
χ25444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-12-2-220000-1-1-1-11111000000000000000
χ26444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-1-222-200001111-1-1-1-1000000000000000
χ274444-4-4-2100-2222-2111-223333-1-10000-3-322-2-20000-1-111-1-111000000000000000
χ284444-4-4-2100-2222-2111-223333-1-10000-3-3-2-222000011-1-111-1-1000000000000000
χ294444-4-4-2100-2222-2111-22-3-3-3-3-1-10000332-22-20000-1-11111-1-1000000000000000
χ304444-4-4-2100-2222-2111-22-3-3-3-3-1-1000033-22-22000011-1-1-1-111000000000000000
χ3144-4-4001-20013-33-12-22-1-323−2323−23003−33−3000000002-20000000033−3−311-1-10000000
χ3244-4-4001-20013-33-12-22-1-323−2323−23003−33−300000000-2200000000−3−333-1-1110000000
χ3344-4-4001-20013-33-12-22-1-3−2323−232300−33−33000000002-200000000−3−33311-1-10000000
χ3444-4-4001-20013-33-12-22-1-3−2323−232300−33−3300000000-220000000033−3−3-1-1110000000
χ3544-4-40044004000-4-44-4-400000000000000000002-2000000000000-2-2220000000
χ3644-4-40044004000-4-44-4-40000000000000000000-2200000000000022-2-20000000
χ374-44-4001-200-13-3-3122-2-13−2i32i32i3−2i300−i3i3i3−i30000002i−2i0000000000i−ii−i3−33−30000000
χ384-44-4001-200-13-3-3122-2-13−2i32i32i3−2i300−i3i3i3−i3000000−2i2i0000000000−ii−ii−33−330000000
χ394-44-4001-200-13-3-3122-2-132i3−2i3−2i32i300i3−i3−i3i30000002i−2i0000000000i−ii−i−33−330000000
χ404-44-4001-200-13-3-3122-2-132i3−2i3−2i32i300i3−i3−i3i3000000−2i2i0000000000−ii−ii3−33−30000000
χ414-44-4004400-40004-4-44-4000000000000000002i−2i0000000000−2i2i−2i2i00000000000
χ424-44-4004400-40004-4-44-400000000000000000−2i2i00000000002i−2i2i−2i00000000000
χ434-4-444-41-24i−4i-111-1-1-2221-1−2i−2i2i2i-22ii−i−i−2i2i0000000000000000−i3i3i3−i3−333−30000000
χ444-4-444-41-24i−4i-111-1-1-2221-1−2i−2i2i2i-22ii−i−i−2i2i0000000000000000i3−i3−i3i33−3−330000000
χ454-4-444-41-2−4i4i-111-1-1-2221-12i2i−2i−2i-22−i−iii2i−2i0000000000000000−i3i3i3−i33−3−330000000
χ464-4-444-41-2−4i4i-111-1-1-2221-12i2i−2i−2i-22−i−iii2i−2i0000000000000000i3−i3−i3i3−333−30000000
χ474-4-444-4-214i−4i2-2-2221-1-1-22ii−i−i1-1−2i−2i2i2ii−i00000000−i3i3−i3i33−33−3000000000000000
χ484-4-444-4-214i−4i2-2-2221-1-1-22ii−i−i1-1−2i−2i2i2ii−i00000000i3−i3i3−i3−33−33000000000000000
χ494-4-444-4-21−4i4i2-2-2221-1-1-22−i−iii1-12i2i−2i−2i−ii00000000−i3i3−i3i3−33−33000000000000000
χ504-4-444-4-21−4i4i2-2-2221-1-1-22−i−iii1-12i2i−2i−2i−ii00000000i3−i3i3−i33−33−3000000000000000
χ514-4-44-444400-4-4-44-44-4-4440000-440000000000000000000000000000000000000
χ524-4-44-44-2100222-221-1-1-2-23i3i−3i−3i-110000−3i3i00000000−i3i3i3−i33−3−33000000000000000
χ534-4-44-44-2100222-221-1-1-2-23i3i−3i−3i-110000−3i3i00000000i3−i3−i3i3−333−3000000000000000
χ544-4-44-44-2100222-221-1-1-2-2−3i−3i3i3i-1100003i−3i00000000−i3i3i3−i3−333−3000000000000000
χ554-4-44-44-2100222-221-1-1-2-2−3i−3i3i3i-1100003i−3i00000000i3−i3−i3i33−3−33000000000000000
χ568888-8-82-4002-2-2-22-4-4-42-20000440000000000000000000000000000000000000
χ5788-8-8002-4002-66-6-24-44-260000000000000000000000000000000000000000000
χ5888-8-800-4200-40004-22-24023−2323−2300−2323−2323000000000000000000000000000000000
χ5988-8-800-4200-40004-22-240−2323−23230023−2323−23000000000000000000000000000000000
χ608-88-8002-400-2-666244-4-2-60000000000000000000000000000000000000000000
χ618-88-800-42004000-4-2-2240−2i32i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000
χ628-88-800-42004000-4-2-22402i3−2i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000
χ638-8-88-882-400-2-2-22-2-4442200004-40000000000000000000000000000000000000

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