Finite Group Databasebeta

← Group #11878494

Character table — Group #11878494

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order12223344666666366688121212122466121212122424242424242424224466121266612121244446881212121212242424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-1111111-1-111-11-1111-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-11111111111-1-11-11-1-1-111-1-111-1-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-111-1-1-11-11-1-11111-1-1-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-1-1111-11-111-1-1-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-11-11-11-1-11-1-111-1-1-1-111-1-11-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-111-1-111111-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-11-1-1111-1-1111111-1-1-1-111-1-11-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-111-1-1111111-1-1-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1111-11-111-1-1111-1-1-1-1-1-111-1-1-111-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-11111-1-11-1-1111111-1-111-1-111-1-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1111-111-111-1-1-1-1-1-111-1-1-1-11111-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-111111111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-222-2-20000000000200-200000000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-2222220000000000-200-2000000002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-2-2-2-2-200000000002002000000002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-222-2-2220000000000-200200000000-22000000
χ2122222-1222-12-1-12-1-1-1-122-12-122222-1-1-1-122-1-1-1-1-1-12020-1-100-1-1-12-1-10022020-1-1-100-1-1000000-1000
χ2222222-1222-12-1-12-1-1-1-122-12-122222-1-1-1-122-1-1-1-1-1-1-20-201100-1-1-12-1-100-2-20-2011100110000001000
χ2322222-1222-12-1-12-1-1-1-122-12-12-2-2-2-211-1-122-1-1-1-1-1-12020-1-100111-21100-2-2020-11100-1-10000001000
χ2422222-1222-12-1-12-1-1-1-122-12-12-2-2-2-211-1-122-1-1-1-1-1-1-20-201100111-21100220-201-1-10011000000-1000
χ2522222-1222-12-1-12-1-1-1-1-2-2-12-122-22211-1-1-2-21111112020-1-100-1-1-1-211002-20-20-1110011000000-1000
χ2622222-1222-12-1-12-1-1-1-1-2-2-12-122-22211-1-1-2-2111111-20-201100-1-1-1-21100-220201-1-100-1-10000001000
χ2722222-1222-12-1-12-1-1-1-1-2-2-12-12-22-2-2-1-1-1-1-2-21111112020-1-1001112-1-100-220-20-1-1-100110000001000
χ2822222-1222-12-1-12-1-1-1-1-2-2-12-12-22-2-2-1-1-1-1-2-2111111-20-2011001112-1-1002-202011100-1-1000000-1000
χ292222-1222-12-122-1-1-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1020200-1-12-1-1-1-1-12200-102000-1-100-1-100000-100
χ302222-1222-12-122-1-1-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-10-20-200112-1-1-1-1-1-2-20010-200011001100000100
χ312222-1222-12-122-1-1-1-1-1222-12-1-2-211-2-2-1-1-1-122-1-1-1-1020200-1-1-211111-2-200-1020001100-1-100000100
χ322222-1222-12-122-1-1-1-1-1222-12-1-2-211-2-2-1-1-1-122-1-1-1-10-20-20011-211111220010-2000-1-1001100000-100
χ332222-1222-12-122-1-1-1-1-1-2-22-12-12-2-1-1-2-2-1-111-2-21111020200-1-12-1-11112-200-10-2000-1-1001100000100
χ342222-1222-12-122-1-1-1-1-1-2-22-12-12-2-1-1-2-2-1-111-2-211110-20-200112-1-1111-22001020001100-1-100000-100
χ352222-1222-12-122-1-1-1-1-1-2-22-12-1-221122-1-111-2-21111020200-1-1-211-1-1-1-2200-10-200011001100000-100
χ362222-1222-12-122-1-1-1-1-1-2-22-12-1-221122-1-111-2-211110-20-20011-211-1-1-12-200102000-1-100-1-100000100
χ3744444-2-4-44-24-2-24-2-2-2-2002-42-4000000220000000040-40-2-200000000000000020000000000000000
χ3844444-2-4-44-24-2-24-2-2-2-2002-42-40000002200000000-404022000000000000000-20000000000000000
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
χ4544-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000000000000022−220000
χ4644-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000000000000000−22220000
χ474-44-4444-4-4-4-44-444-44-400-4-4440000004-40000000000000000000000000000000000000000000000
χ484-44-444-44-4-4-44-444-44-40044-4-4000000-440000000000000000000000000000000000000000000000
χ494-44-44-24-4-42-4-224-22-22002-4-24000023−23-220000000000000000000023−23000000000000000000000000
χ504-44-44-24-4-42-4-224-22-22002-4-240000−2323-2200000000000000000000−2323000000000000000000000000
χ514-44-44-2-44-42-4-224-22-2200-242-40000002-200000000000000000000000000000023−2300000000000000
χ524-44-44-2-44-42-4-224-22-2200-242-40000002-2000000000000000000000000000000−232300000000000000
χ534-44-4-244-42-424-4-2-22-2200-424-200−2i32i300-2200000000000000000−2i32i3000000000000000000000000000
χ544-44-4-244-42-424-4-2-22-2200-424-2002i3−2i300-22000000000000000002i3−2i3000000000000000000000000000
χ554-44-4-24-442-424-4-2-22-22004-2-420000002-200000000000000000000000000000000−2i32i3000000000000
χ564-44-4-24-442-424-4-2-22-22004-2-420000002-2000000000000000000000000000000002i3−2i3000000000000
χ574-44-4-2-24-4222-22-21-11-10022-2-200−2i32i323−231-100003i3i−3i−3i000000000i3−i30−33000000000000000000000000
χ584-44-4-2-24-4222-22-21-11-10022-2-200−2i32i3−23231-10000−3i−3i3i3i000000000i3−i303−3000000000000000000000000
χ594-44-4-2-24-4222-22-21-11-10022-2-2002i3−2i323−231-10000−3i−3i3i3i000000000−i3i30−33000000000000000000000000
χ604-44-4-2-24-4222-22-21-11-10022-2-2002i3−2i3−23231-100003i3i−3i−3i000000000−i3i303−3000000000000000000000000
χ614-4-444400-4-44-44-44-4-4422−2200000000000022−2222−2222−2222−2200000000000000000000000000000000000000
χ624-4-444400-4-44-44-44-4-44−2222000000000000−2222−2222−2222−222200000000000000000000000000000000000000
χ634-4-444-200-4242-2-4-222-222−2200000000000022−22−22−22−220000−2i32i300000000000000000000i6−i60000000000
χ644-4-444-200-4242-2-4-222-222−2200000000000022−22−22−22−2200002i3−2i300000000000000000000−i6i60000000000
χ654-4-444-200-4242-2-4-222-2−2222000000000000−22222−22−22−20000−2i32i300000000000000000000−i6i60000000000
χ664-4-444-200-4242-2-4-222-2−2222000000000000−22222−22−22−200002i3−2i300000000000000000000i6−i60000000000
χ674-4-44-24002-4-2-442-222-222−22000000000000−2222−22−22−2200000023−23000000000000000000006−600000000
χ684-4-44-24002-4-2-442-222-222−22000000000000−2222−22−22−22000000−232300000000000000000000−6600000000
χ694-4-44-24002-4-2-442-222-2−22220000000000002−2−22222−22−200000023−2300000000000000000000−6600000000
χ704-4-44-24002-4-2-442-222-2−22220000000000002−2−22222−22−2000000−2323000000000000000000006−600000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-88-4008-4-844-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4800-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000
χ7588-8-8-4-400-4-4444422-2-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000
χ768-88-8-4-4-88444-44-42-22-200-4-444000000-220000000000000000000000000000000000000000000000
χ778-8-88-4-40044-44-442-2-2242−42000000000000−2222−22222−22−200000000000000000000000000000000000000
χ788-8-88-4-40044-44-442-2-22−424200000000000022−2222−22−22−2200000000000000000000000000000000000000

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