Finite Group Databasebeta

← Group #11778085

Character table — Group #11778085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order12222233446666666666121212126612121212121222244444666666121212121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-1111-11-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-111-11-11-1-1-1-11111-1-11111-1-1-1-111-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-1-1-1111111-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-11111111111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ1022222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-220000
χ112222-2-2220022-2-2-22222-20000-2-200000000020-2000000000022-2-200002-200000
χ122222-2-2220022-2-2-22222-20000-2-2000000000-2020000000000-2-22200002-200000
χ132222-2-2220022-2-2-22222-20000-2-20000000020-2000220000-2-200000000-2200000
χ142222-2-2220022-2-2-22222-20000-2-200000000-202000-2-200002200000000-2200000
χ152-22-22-2222i−2i2-222-2-22-2-2-22i2i−2i−2i2-22i2i−2i−2i2i−2i0000000000000000000000000002−2−i2i2
χ162-22-22-2222i−2i2-222-2-22-2-2-22i2i−2i−2i2-22i2i−2i−2i2i−2i000000000000000000000000000−22i2−i2
χ172-22-22-222−2i2i2-222-2-22-2-2-2−2i−2i2i2i2-2−2i−2i2i2i−2i2i0000000000000000000000000002−2i2−i2
χ182-22-22-222−2i2i2-222-2-22-2-2-2−2i−2i2i2i2-2−2i−2i2i2i−2i2i000000000000000000000000000−22−i2i2
χ194444441-244-2-2-2-2-2-2111-2111111-2-2-2-21100222200-1-10000-1-1-1-1-1-100000000000
χ204444441-244-2-2-2-2-2-2111-2111111-2-2-2-21100-2-2-2-20011000011111100000000000
χ214444441-2-4-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-1002-22-200-1-10000-1-1111100000000000
χ224444441-2-4-4-2-2-2-2-2-2111-2-1-1-1-1112222-1-100-22-220011000011-1-1-1-100000000000
χ23444444-2144111111-2-2-21-2-2-2-2-2-21111-2-22200002200-1-1-1-1000000-1-1-1-10000000
χ24444444-2144111111-2-2-21-2-2-2-2-2-21111-2-2-2-20000-2-200111100000011110000000
χ25444444-21-4-4111111-2-2-212222-2-2-1-1-1-122220000-2-200-1-1-1-100000011110000000
χ26444444-21-4-4111111-2-2-212222-2-2-1-1-1-122-2-2000022001111000000-1-1-1-10000000
χ274444-4-41-200-2-2222-211123333-1-10000-3-30022-2-200-1-1000011-1-11100000000000
χ284444-4-41-200-2-2222-211123333-1-10000-3-300-2-22200110000-1-111-1-100000000000
χ294444-4-41-200-2-2222-21112-3-3-3-3-1-1000033002-2-2200-1-100001111-1-100000000000
χ304444-4-41-200-2-2222-21112-3-3-3-3-1-100003300-222-200110000-1-1-1-11100000000000
χ3144-4-4004400-44000-4-44-400000000000000000002i−2i0000000000002i2i−2i−2i0000000
χ3244-4-4004400-44000-4-44-40000000000000000000−2i2i000000000000−2i−2i2i2i0000000
χ3344-4-400-2100-113-3-3-12-22323−2323−23003−33−3000000002i−2i00−i3−i3i3i3000000−i−iii0000000
χ3444-4-400-2100-113-3-3-12-22323−2323−23003−33−300000000−2i2i00i3i3−i3−i3000000ii−i−i0000000
χ3544-4-400-2100-113-3-3-12-223−2323−232300−33−33000000002i−2i00i3i3−i3−i3000000−i−iii0000000
χ3644-4-400-2100-113-3-3-12-223−2323−232300−33−3300000000−2i2i00−i3−i3i3i3000000ii−i−i0000000
χ374-44-44-41-24i−4i-22-2-2221-1-12ii−i−i1-1−2i−2i2i2ii−i00000000−i3i30000−i3i33−33−300000000000
χ384-44-44-41-24i−4i-22-2-2221-1-12ii−i−i1-1−2i−2i2i2ii−i00000000i3−i30000i3−i3−33−3300000000000
χ394-44-44-41-2−4i4i-22-2-2221-1-12−i−iii1-12i2i−2i−2i−ii00000000−i3i30000−i3i3−33−3300000000000
χ404-44-44-41-2−4i4i-22-2-2221-1-12−i−iii1-12i2i−2i−2i−ii00000000i3−i30000i3−i33−33−300000000000
χ414-44-44-4-214i−4i1-111-1-1-222-1−2i−2i2i2i-22ii−i−i−2i2i0000000000−i3i3−i3i30000003−33−30000000
χ424-44-44-4-214i−4i1-111-1-1-222-1−2i−2i2i2i-22ii−i−i−2i2i0000000000i3−i3i3−i3000000−33−330000000
χ434-44-44-4-21−4i4i1-111-1-1-222-12i2i−2i−2i-22−i−iii2i−2i0000000000−i3i3−i3i3000000−33−330000000
χ444-44-44-4-21−4i4i1-111-1-1-222-12i2i−2i−2i-22−i−iii2i−2i0000000000i3−i3i3−i30000003−33−30000000
χ454-44-4-441-200-2222-221-1-1-23i3i−3i−3i-110000−3i3i00000000−i3i30000i3−i33−3−3300000000000
χ464-44-4-441-200-2222-221-1-1-23i3i−3i−3i-110000−3i3i00000000i3−i30000−i3i3−333−300000000000
χ474-44-4-441-200-2222-221-1-1-2−3i−3i3i3i-1100003i−3i00000000−i3i30000i3−i3−333−300000000000
χ484-44-4-441-200-2222-221-1-1-2−3i−3i3i3i-1100003i−3i00000000i3−i30000−i3i33−3−3300000000000
χ494-44-4-4444004-4-4-44-44-4-440000-440000000000000000000000000000000000000
χ504-4-44004400-4-40004-4-4400000000000002-2000000002-2-2200000000000000000
χ514-4-44004400-4-40004-4-440000000000000-2200000000-222-200000000000000000
χ524-4-4400-2100-1-13-33122-2-3−2i32i32i3−2i300−i3i3i3−i3002-200000000-111-1000000−i3i3i3−i30000000
χ534-4-4400-2100-1-13-33122-2-3−2i32i32i3−2i300−i3i3i3−i300-22000000001-1-11000000i3−i3−i3i30000000
χ544-4-4400-2100-1-13-33122-2-32i3−2i3−2i32i300i3−i3−i3i3002-200000000-111-1000000i3−i3−i3i30000000
χ554-4-4400-2100-1-13-33122-2-32i3−2i3−2i32i300i3−i3−i3i300-22000000001-1-11000000−i3i3i3−i30000000
χ568888-8-8-420022-2-2-22-4-4-4-20000440000000000000000000000000000000000000
χ5788-8-8002-4004-40004-22-2023−2323−2300−2323−2323000000000000000000000000000000000
χ5888-8-8002-4004-40004-22-20−2323−23230023−2323−23000000000000000000000000000000000
χ5988-8-800-4200-22-666-24-44-60000000000000000000000000000000000000000000
χ608-88-8-88-42002-2-2-22-2-444200004-40000000000000000000000000000000000000
χ618-8-88002-40044000-4-2-220−2i32i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000
χ628-8-88002-40044000-4-2-2202i3−2i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000
χ638-8-8800-4200-2-2-66-6244-460000000000000000000000000000000000000000000

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