Finite Group Databasebeta

← Group #11778797

Character table — Group #11778797

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order1222223344666666666612121212661212121212122244444466661212121212121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1
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
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-11-1111-1-1-111-1-11111-1-1-1-111-1-111-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1-1-1111111-1-111-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1111-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-11111-1-11111-111-1-1
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ1022222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-220000
χ112222-2-222002-2-2-22222-220000-2-200000002000-20000220000000000-2-22-200000
χ122222-2-222002-2-2-22222-220000-2-20000000-200020000-2-20000000000222-200000
χ132222-2-222002-2-2-22222-220000-2-20000002000-2000220000000000-2-200-2200000
χ142222-2-222002-2-2-22222-220000-2-2000000-20002000-2-200000000002200-2200000
χ152-22-22-2222-2-222-2-2-22-2-2222-2-22-222-2-22-2000000000000000000000000000−i2i2−i2i2
χ162-22-22-2222-2-222-2-2-22-2-2222-2-22-222-2-22-2000000000000000000000000000i2−i2i2−i2
χ172-22-22-222-22-222-2-2-22-2-22-2-2222-2-2-222-22000000000000000000000000000−i2i2i2−i2
χ182-22-22-222-22-222-2-2-22-2-22-2-2222-2-2-222-22000000000000000000000000000i2−i2−i2i2
χ194444441-2441111-2-2111-2-2-2-2-2-2-21111-2-2002200220000-1-1-1-1-1-1-1-100000000000
χ204444441-2441111-2-2111-2-2-2-2-2-2-21111-2-200-2-200-2-200001111111100000000000
χ214444441-2-4-41111-2-2111-22222-2-2-1-1-1-122002200-2-20000-1-1-1-1111100000000000
χ224444441-2-4-41111-2-2111-22222-2-2-1-1-1-12200-2-2002200001111-1-1-1-100000000000
χ23444444-2144-2-2-2-211-2-2-21111111-2-2-2-21122002200-1-1-1-100000000-1-1-1-10000000
χ24444444-2144-2-2-2-211-2-2-21111111-2-2-2-211-2-200-2-20011110000000011110000000
χ25444444-21-4-4-2-2-2-211-2-2-21-1-1-1-1112222-1-12-2002-200-1-11100000000-1-1110000000
χ26444444-21-4-4-2-2-2-211-2-2-21-1-1-1-1112222-1-1-2200-220011-1-10000000011-1-10000000
χ274444-4-4-2100-222211-2-2213333-1-10000-3-32200-2-200-1-1-1-10000000011110000000
χ284444-4-4-2100-222211-2-2213333-1-10000-3-3-2-2002200111100000000-1-1-1-10000000
χ294444-4-4-2100-222211-2-221-3-3-3-3-1-10000332-200-2200-1-1110000000011-1-10000000
χ304444-4-4-2100-222211-2-221-3-3-3-3-1-1000033-22002-20011-1-100000000-1-1110000000
χ3144-4-4001-200-13-3-32-2-113223−2323−23003−33−3000000002i−2i0000−i3−i3i3i3ii−i−i00000000000
χ3244-4-4001-200-13-3-32-2-113223−2323−23003−33−300000000−2i2i0000i3i3−i3−i3−i−iii00000000000
χ3344-4-4001-200-13-3-32-2-1132−2323−232300−33−33000000002i−2i0000i3i3−i3−i3ii−i−i00000000000
χ3444-4-4001-200-13-3-32-2-1132−2323−232300−33−3300000000−2i2i0000−i3−i3i3i3−i−iii00000000000
χ3544-4-4004400-4000-44-440-40000000000000000002i−2i00000000−2i−2i2i2i00000000000
χ3644-4-4004400-4000-44-440-4000000000000000000−2i2i000000002i2i−2i−2i00000000000
χ374-44-44-41-24-4-111-1221-1-1-2-2-222-2211-1-1-220000000000003−33−33−33−300000000000
χ384-44-44-41-24-4-111-1221-1-1-2-2-222-2211-1-1-22000000000000−33−33−33−3300000000000
χ394-44-44-41-2-44-111-1221-1-1-222-2-2-22-1-1112-20000000000003−33−3−33−3300000000000
χ404-44-44-41-2-44-111-1221-1-1-222-2-2-22-1-1112-2000000000000−33−333−33−300000000000
χ414-44-44-4-214-42-2-22-1-1-222111-1-11-1-2-2221-100000000−i3i3−i3i300000000−i3i3−i3i30000000
χ424-44-44-4-214-42-2-22-1-1-222111-1-11-1-2-2221-100000000i3−i3i3−i300000000i3−i3i3−i30000000
χ434-44-44-4-21-442-2-22-1-1-2221-1-1111-122-2-2-1100000000−i3i3i3−i300000000−i3i3i3−i30000000
χ444-44-44-4-21-442-2-22-1-1-2221-1-1111-122-2-2-1100000000i3−i3−i3i300000000i3−i3−i3i30000000
χ454-44-4-444400-4-4-44-4-44-4440000-440000000000000000000000000000000000000
χ464-44-4-44-2100222-2-1-1-22-2133-3-3-110000-3300000000−i3i3−i3i300000000i3−i3i3−i30000000
χ474-44-4-44-2100222-2-1-1-22-2133-3-3-110000-3300000000i3−i3i3−i300000000−i3i3−i3i30000000
χ484-44-4-44-2100222-2-1-1-22-21-3-333-1100003-300000000−i3i3i3−i300000000i3−i3−i3i30000000
χ494-44-4-44-2100222-2-1-1-22-21-3-333-1100003-300000000i3−i3−i3i300000000−i3i3i3−i30000000
χ504-4-44001-20013-33-22-1-1-3223−23−2323003−3−3300002i−2i00000000i−i−iii3−i3−i3i300000000000
χ514-4-44001-20013-33-22-1-1-3223−23−2323003−3−330000−2i2i00000000−iii−i−i3i3i3−i300000000000
χ524-4-44001-20013-33-22-1-1-32−232323−2300−333−300002i−2i00000000i−i−ii−i3i3i3−i300000000000
χ534-4-44001-20013-33-22-1-1-32−232323−2300−333−30000−2i2i00000000−iii−ii3−i3−i3i300000000000
χ544-4-4400440040004-4-4-40-4000000000000002i−2i00000000−2i2i2i−2i000000000000000
χ554-4-4400440040004-4-4-40-400000000000000−2i2i000000002i−2i−2i2i000000000000000
χ568888-8-82-4002-2-2-2-4-422-2-40000440000000000000000000000000000000000000
χ5788-8-8002-400-2-6664-4-22-640000000000000000000000000000000000000000000
χ5888-8-800-42004000-224-40-223−2323−2300−2323−2323000000000000000000000000000000000
χ5988-8-800-42004000-224-40-2−2323−23230023−2323−23000000000000000000000000000000000
χ608-88-8-882-400-2-2-22442-22-400004-40000000000000000000000000000000000000
χ618-8-88002-4002-66-6-44-2-2640000000000000000000000000000000000000000000
χ628-8-8800-4200-40002-2440-223−23−232300−232323−23000000000000000000000000000000000
χ638-8-8800-4200-40002-2440-2−232323−230023−23−2323000000000000000000000000000000000

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