Finite Group Databasebeta

← Group #11878579

Character table — Group #11878579

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order1222334466666636668812121212246612121212242424242424242422441212121266612121224446666881212242424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-111111111-1-1-11111-1-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111111111-1-1111-1-1-1-1111-1-111-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-111-11-1-11-11111-1-1-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-111-1-11-111-11-1-1-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-111-111-1-1-1-111-1-1-1-111-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-1111-1-1-1-11-11-11-1-1-11-1-1-1-111-1-11111-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-11-11-11-1111-11111-1-1-1-111-1-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-11-1-11111-1-1111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-11111-11-1-1111-1111-1-111-1-111-1-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1111-11-111-1-1-11-1-1-111-1-1-1-111111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-11111111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-2-2-2-2-20000000000220000000000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-22-2-2220000000000-2200000000002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-222-2-200000000002-200000000002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-22222220000000000-2-20000000000-22000000
χ2122222-1222-12-1-12-1-1-1-122-12-122222-1-1-1-122-1-1-1-1-1-12020-1-100-1-1-12-1-122000-1-1-12000-1-1000000-1000
χ2222222-1222-12-1-12-1-1-1-122-12-122222-1-1-1-122-1-1-1-1-1-1-20-201100-1-1-12-1-1-2-2000111-2000110000001000
χ2322222-1222-12-1-12-1-1-1-122-12-12-2-2-2-211-1-122-1-1-1-1-1-12020-1-100111-211-2-2000-1112000-1-10000001000
χ2422222-1222-12-1-12-1-1-1-122-12-12-2-2-2-211-1-122-1-1-1-1-1-1-20-201100111-211220001-1-1-200011000000-1000
χ2522222-1222-12-1-12-1-1-1-1-2-2-12-122-22211-1-1-2-21111112020-1-100-1-1-1-211-22000-111-200011000000-1000
χ2622222-1222-12-1-12-1-1-1-1-2-2-12-122-22211-1-1-2-2111111-20-201100-1-1-1-2112-20001-1-12000-1-10000001000
χ2722222-1222-12-1-12-1-1-1-1-2-2-12-12-22-2-2-1-1-1-1-2-21111112020-1-1001112-1-12-2000-1-1-1-2000110000001000
χ2822222-1222-12-1-12-1-1-1-1-2-2-12-12-22-2-2-1-1-1-1-2-2111111-20-2011001112-1-1-220001112000-1-1000000-1000
χ292222-1222-12-122-1-1-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1020200-1-12-1-1-1-1-10022-100002-1-100-1-100000-100
χ302222-1222-12-122-1-1-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-10-20-200112-1-1-1-1-100-2-210000-211001100000100
χ312222-1222-12-122-1-1-1-1-1222-12-1-2-211-2-2-1-1-1-122-1-1-1-1020200-1-1-21111100-2-2-1000021100-1-100000100
χ322222-1222-12-122-1-1-1-1-1222-12-1-2-211-2-2-1-1-1-122-1-1-1-10-20-20011-211111002210000-2-1-1001100000-100
χ332222-1222-12-122-1-1-1-1-1-2-22-12-12-2-1-1-2-2-1-111-2-21111020200-1-12-1-1111002-2-10000-2-1-1001100000100
χ342222-1222-12-122-1-1-1-1-1-2-22-12-12-2-1-1-2-2-1-111-2-211110-20-200112-1-111100-221000021100-1-100000-100
χ352222-1222-12-122-1-1-1-1-1-2-22-12-1-221122-1-111-2-21111020200-1-1-211-1-1-100-22-10000-211001100000-100
χ362222-1222-12-122-1-1-1-1-1-2-22-12-1-221122-1-111-2-211110-20-20011-211-1-1-1002-2100002-1-100-1-100000100
χ3744444-2-4-44-24-2-24-2-2-2-2002-42-4000000220000000040-40220000000000000-2000000000000000000
χ3844444-2-4-44-24-2-24-2-2-2-2002-42-40000002200000000-4040-2-200000000000002000000000000000000
χ394444-24-4-4-24-244-2-2-2-2-200-42-420000002200000000040-400220000000000-20000000000000000000
χ404444-24-4-4-24-244-2-2-2-2-200-42-4200000022000000000-40400-2-2000000000020000000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-2111100000000-211-211000000000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-21111000000002-1-12-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-100000000-2112-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000002-1-1-211000000000000000000000000
χ4544-4-444004-4-44-4-444-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ4644-4-444004-4-44-4-444-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ474-44-44400-444-4-4-44-44-4−2i22i2000000000000−2i22i2−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000
χ484-44-44400-444-4-4-44-44-42i2−2i20000000000002i2−2i22i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000
χ494-44-44-200-4-2422-4-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i2000023−2300000000000000000000i6−i60000000000
χ504-44-44-200-4-2422-4-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i20000−232300000000000000000000−i6i60000000000
χ514-44-44-200-4-2422-4-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i2000023−2300000000000000000000−i6i60000000000
χ524-44-44-200-4-2422-4-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i20000−232300000000000000000000i6−i60000000000
χ534-44-4-240024-2-4-42-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i200000023−2300000000000000000000i6−i600000000
χ544-44-4-240024-2-4-42-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i2000000−232300000000000000000000−i6i600000000
χ554-44-4-240024-2-4-42-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i200000023−2300000000000000000000−i6i600000000
χ564-44-4-240024-2-4-42-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i2000000−232300000000000000000000i6−i600000000
χ574-4-44444-4-4-4-4-4444-4-4400-4-4440000004-40000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-4-4444-4-440044-4-4000000-440000000000000000000000000000000000000000000000
χ594-4-444-24-4-42-42-24-222-2002-4-24000000-220000000000000000000000000000−2i32i30000000000000000
χ604-4-444-24-4-42-42-24-222-2002-4-24000000-2200000000000000000000000000002i3−2i30000000000000000
χ614-4-444-2-44-42-42-24-222-200-242-40000−2i32i32-200000000000000000000−2i32i3000000000000000000000000
χ624-4-444-2-44-42-42-24-222-200-242-400002i3−2i32-2000000000000000000002i3−2i3000000000000000000000000
χ634-4-44-244-42-42-44-2-222-200-424-2000000-2200000000000000000000000000000000−2i32i3000000000000
χ644-4-44-244-42-42-44-2-222-200-424-2000000-22000000000000000000000000000000002i3−2i3000000000000
χ654-4-44-24-442-42-44-2-222-2004-2-4200−2i32i3002-200000000000000000−2i32i3000000000000000000000000000
χ664-4-44-24-442-42-44-2-222-2004-2-42002i3−2i3002-2000000000000000002i3−2i3000000000000000000000000000
χ674-4-44-2-2-442222-2-21-1-1100-2-22200−2i32i3−2i32i3-1100003-33-3000000000i3−i30i3−i3000000000000000000000000
χ684-4-44-2-2-442222-2-21-1-1100-2-22200−2i32i32i3−2i3-110000-33-33000000000i3−i30−i3i3000000000000000000000000
χ694-4-44-2-2-442222-2-21-1-1100-2-222002i3−2i3−2i32i3-110000-33-33000000000−i3i30i3−i3000000000000000000000000
χ704-4-44-2-2-442222-2-21-1-1100-2-222002i3−2i32i3−2i3-1100003-33-3000000000−i3i30−i3i3000000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-88-40084-8-44-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4800-4-848-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-444-44422-2-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000
χ7588-8-8-4-400-444-44422-2-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000
χ768-88-8-4-4004-4-44442-22-2−4i24i20000000000002i2−2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ778-88-8-4-4004-4-44442-22-24i2−4i2000000000000−2i22i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ788-8-88-4-48-84444-4-42-2-220044-4-40000002-20000000000000000000000000000000000000000000000

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