Finite Group Databasebeta

← Group #11878605

Character table — Group #11878605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444444488888888888888888888888812121212242424242424242424242424242436363636484848487272
order1222334466666623466666666666121212124412121212121212121212121212121212121212121212888824448824242424242424242244612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-11-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-111-1-111-11-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111-11-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-111-1-11111-1-1-1-111111-11-1-1-111-1-111-1-11-11-11-11-1-11
χ1011111111111111-11-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-111-1-11111-1-1-1-111-1-11-1-11-1111-1-1-1-111-11-111-1-111-1
χ1111111111111111-11-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-111-11-1-1-11111-1-1-11-11-111-11-1
χ1211111111111111-11-1-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1111-11-1-11-11-11
χ1311111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-1-1-1-11111-111-1-1-1-1-1-111111111-11-11-1-111-1-111-1-11-11-1-11-111-1
χ1411111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-111-1-1111-1-1-1-111-11-11-111-1-11
χ1511111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1111-1-111-1-1-11111-1-1-11-111-1-11-11
χ1611111111111111-11-1-1-1-1-11-1-1-1-1111111-11-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1111-11-11-11-11-1
χ17222222-2-222222222-222222222222-2-2-2-200-200000000-2-2-2-2-2000000000000000000000000002-2-22000000
χ18222222-2-222222222-222222222222-2-2-2-200-200000000-2-2-2-2-200000000000000000000000000-222-2000000
χ19222222-2-2222222-222-2-2-2-22-2-2-2-222-2-2-2-2002000000002-2-2220000000000000000000000000022-2-2000000
χ20222222-2-2222222-222-2-2-2-22-2-2-2-222-2-2-2-2002000000002-2-22200000000000000000000000000-2-222000000
χ2122222-122-12-12-122-1222-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12200220020-1-1-1-100000000-1-10000
χ2222222-122-12-12-122-1222-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-20111100000000110000
χ2322222-122-12-12-122-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-1-2-211-2-2112-1-1-1-1111111112200-2-20020-1-1-1-100000000110000
χ2422222-122-12-12-122-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-1-2-211-2-2112-1-1-1-111111111-2-2002200-20111100000000-1-10000
χ2522222-122-12-12-12-2-1-2-2-211-11111-1-1-1-1222-2122-1-1-2-211-2-1-111-1-1-1-1111122002-200-20-1-11100000000-110000
χ2622222-122-12-12-12-2-1-2-2-211-11111-1-1-1-1222-2122-1-1-2-211-2-1-111-1-1-1-11111-2-200-22002011-1-1000000001-10000
χ2722222-122-12-12-12-2-1-2-2-211-11111-1-1-1-122-221-2-21122-1-1-2-1-1111111-1-1-1-12200-2200-20-1-111000000001-10000
χ2822222-122-12-12-12-2-1-2-2-211-11111-1-1-1-122-221-2-21122-1-1-2-1-1111111-1-1-1-1-2-2002-2002011-1-100000000-110000
χ292222-12222-12-12-12-12-1-122-1-1-1-1-1-1-122-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-100220022020000-1-1-1-1000000-1-100
χ302222-12222-12-12-12-12-1-122-1-1-1-1-1-1-122-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20-2000011110000001100
χ312222-12222-12-12-12-12-1-122-1-1-1-1-1-1-122-1-1-2-2211-2-211-2-2-1-1-1-1-111111111002200-2-2020000-1-1-1-10000001100
χ322222-12222-12-12-12-12-1-122-1-1-1-1-1-1-122-1-1-2-2211-2-211-2-2-1-1-1-1-11111111100-2-200220-200001111000000-1-100
χ332222-12222-12-12-1-2-1-211-2-2-11111-1-122-1-12-2-2-1-12211-2-21-1-111-1-1-1-111110022002-20-20000-1-111000000-1100
χ342222-12222-12-12-1-2-1-211-2-2-11111-1-122-1-12-2-2-1-12211-2-21-1-111-1-1-1-1111100-2-200-2202000011-1-10000001-100
χ352222-12222-12-12-1-2-1-211-2-2-11111-1-122-1-1-22-211-2-2-1-1221-1-1111111-1-1-1-1002200-220-20000-1-1110000001-100
χ362222-12222-12-12-1-2-1-211-2-2-11111-1-122-1-1-22-211-2-2-1-1221-1-1111111-1-1-1-100-2-2002-202000011-1-1000000-1100
χ3744444-2-4-4-24-24-244-2-444-2-2-2-2-2-2-2-2-222-4-400200000000-42222000000000000000000000000000000000000
χ3844444-2-4-4-24-24-24-4-24-4-422-22222-2-222-4-400-200000000422-2-2000000000000000000000000000000000000
χ394444-24-4-44-24-24-24-2-4-2-244-2-2-2-2-2-2-2-4-42200-40000000022222000000000000000000000000000000000000
χ404444-24-4-44-24-24-2-4-2422-4-4-22222-2-2-4-42200400000000-222-2-2000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2-2-21111111-2-2-2-2-4-4-222222222-21111-1-1-1-1-1-1-1-10000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-422221-1-1-1-111-2-2-2-24-42-2-2-2-22222211-1-11111-1-1-1-10000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-422221-1-1-1-111-2-2-2-2-4422222-2-2-2-2211-1-1-1-1-1-111110000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-211111112222002000000002-1-1-1-133-3-333-3-30000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-2-2-211111112222002000000002-1-1-1-1-3-333-3-3330000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-41422221-1-1-1-111222200-200000000-2-1-11133-3-3-3-3330000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-41422221-1-1-1-111222200-200000000-2-1-111-3-33333-3-30000000000000000000000000000
χ4944-4-44400-444-4-4-40400000-40000-44000000000000000000000000000000−2i22i20000000000−2i22i2000000000000
χ5044-4-44400-444-4-4-40400000-40000-440000000000000000000000000000002i2−2i200000000002i2−2i2000000000000
χ5144-4-4-2400-4-242-420-20−2i32i3002−2i3−2i32i32i32-2000000000000000000000000000000−2i22i20000000000i2−i26−60000000000
χ5244-4-4-2400-4-242-420-20−2i32i3002−2i3−2i32i32i32-20000000000000000000000000000002i2−2i20000000000−i2i2−660000000000
χ5344-4-4-2400-4-242-420-202i3−2i30022i32i3−2i3−2i32-2000000000000000000000000000000−2i22i20000000000i2−i2−660000000000
χ5444-4-4-2400-4-242-420-202i3−2i30022i32i3−2i3−2i32-20000000000000000000000000000002i2−2i20000000000−i2i26−60000000000
χ554-44-44400-4-4-444-4040000040000-4-40000000000000000000000000000−2i22i200000000−2i22i20000000000000000
χ564-44-44400-4-4-444-4040000040000-4-400000000000000000000000000002i2−2i2000000002i2−2i20000000000000000
χ574-44-44-2002-424-2-40-2000−2i32i3-2−2i32i3−2i32i3220000000000000000000000000000−2i22i200000000i2−i26−600000000000000
χ584-44-44-2002-424-2-40-2000−2i32i3-2−2i32i3−2i32i32200000000000000000000000000002i2−2i200000000−i2i2−6600000000000000
χ594-44-44-2002-424-2-40-20002i3−2i3-22i3−2i32i3−2i3220000000000000000000000000000−2i22i200000000i2−i2−6600000000000000
χ604-44-44-2002-424-2-40-20002i3−2i3-22i3−2i32i3−2i32200000000000000000000000000002i2−2i200000000−i2i26−600000000000000
χ614-4-44444-44-4-4-4-440400000-400004-44-44-40000000000004-400000000000000000000000000000000000000
χ624-4-4444-444-4-4-4-440400000-400004-4-44-44000000000000-4400000000000000000000000000000000000000
χ634-4-444-24-4-2-42-4240-20000020000-22-224-400000000023−230-2200000023−2323−230000000000000000000000000000
χ644-4-444-24-4-2-42-4240-20000020000-22-224-4000000000−23230-22000000−2323−23230000000000000000000000000000
χ654-4-444-2-44-2-42-4240-20000020000-222-2-440000023−23000002-20023−2323−2300000000000000000000000000000000
χ664-4-444-2-44-2-42-4240-20000020000-222-2-4400000−2323000002-200−2323−232300000000000000000000000000000000
χ674-4-44-244-442-42-4-20-20000020000-224-4-2200023−230000000-220023−23−232300000000000000000000000000000000
χ684-4-44-244-442-42-4-20-20000020000-224-4-22000−23230000000-2200−232323−2300000000000000000000000000000000
χ694-4-44-24-4442-42-4-20-20000020000-22-442-2000000023−230002-200000023−23−23230000000000000000000000000000
χ704-4-44-24-4442-42-4-20-20000020000-22-442-20000000−23230002-2000000−232323−230000000000000000000000000000
χ714-4-44-2-24-4-22222-20100000-13-3-331-1-22-2200023−23000023−2301-13-3−333−3−33−330000000000000000000000000000
χ724-4-44-2-24-4-22222-20100000-13-3-331-1-22-22000−23230000−232301-13-33−3−333−33−30000000000000000000000000000
χ734-4-44-2-24-4-22222-20100000-1-333-31-1-22-2200023−230000−232301-1-33−333−33−33−30000000000000000000000000000
χ744-4-44-2-24-4-22222-20100000-1-333-31-1-22-22000−2323000023−2301-1-333−3−33−33−330000000000000000000000000000
χ754-4-44-2-2-44-22222-20100000-13-3-331-12-22-20000023−2323−23000-11-33−33−33−333−30000000000000000000000000000
χ764-4-44-2-2-44-22222-20100000-13-3-331-12-22-200000−2323−2323000-11-333−33−33−3−330000000000000000000000000000
χ774-4-44-2-2-44-22222-20100000-1-333-31-12-22-20000023−23−2323000-113-3−33−333−3−330000000000000000000000000000
χ784-4-44-2-2-44-22222-20100000-1-333-31-12-22-200000−232323−23000-113-33−33−3−333−30000000000000000000000000000
χ7988-8-88-40048-4-84-80-400000400004-400000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-4444020−4i34i300-22i32i3−2i3−2i3-2200000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-44440204i3−4i300-2−2i3−2i32i32i3-2200000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-84-8-4840-400000-400004400000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-4402000−4i34i322i3−2i32i3−2i3-2-200000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400444-4-44020004i3−4i32−2i32i3−2i32i3-2-200000000000000000000000000000000000000000000000000000000

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