Finite Group Databasebeta

← Group #11884618

Character table — Group #11884618

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212124412121212121224242424242424242224444466121212121212121244246688121212122424242428861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-11111111111-1-1-1-111-11-1-111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1111111-1-111-1-11-111-1-111-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11111-1-11111111-111-1-111-1111-1-111-1-1-1-1-1-11-1-1-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-1-1-11-111111-111-1-1-1-11-1111-1-1-1-1-111-1-1-1111-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11-111-1-1-1-1-11-1-1-111111-1-111-111-11-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1-1111-1-1-111-1-11111111-1-11-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1-1-11-1-111-1-11-111-1111-1-1-1-111-1111-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-111111-1-1-1-111111-1-1-11-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111111-1-1-1-1-11111-1-1-1-11-1-11-1-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1111-11111-11-1-111-1-1-11-1-11-1-1-11111-1-1-111-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002200-2-222-2-2000000220000002-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-200-2222-2-2000000-2-2000000-220000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22002-2-2-222000000-2-20000002-20000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-20022-2-22200000022000000-22000000-2000000
χ2122222-122-1-1222-1-1-1-1-122-122-122-1-1-1-1-1-122-1-1-1-1-1-122202220-1-1-1-122-1-1-1-10000-1-10200-1-100-1-10000000
χ2222222-122-1-1222-1-1-1-1-122-122-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-20-2-2-20111122-1-1-1-10000110-2001100110000000
χ2322222-122-1-1222-1-1-1-1-122-122-1-2-21111-1-122-1-1-1-1-1-122-2022-201111-2-211110000-1-10-200-1-100110000000
χ2422222-122-1-1222-1-1-1-1-122-122-1-2-21111-1-122-1-1-1-1-1-1-2-220-2-220-1-1-1-1-2-2111100001102001100-1-10000000
χ2522222-122-1-1222-1-1-1-1-1-2-2-122-12-2-1-111-1-1-2-21111112220-2-220-1-1-1-12-2-1-1110000-1-10-2001100110000000
χ2622222-122-1-1222-1-1-1-1-1-2-2-122-12-2-1-111-1-1-2-2111111-2-2-2022-2011112-2-1-1110000110200-1-100-1-10000000
χ2722222-122-1-1222-1-1-1-1-1-2-2-122-1-2211-1-1-1-1-2-211111122-20-2-2-201111-2211-1-10000-1-102001100-1-10000000
χ2822222-122-1-1222-1-1-1-1-1-2-2-122-1-2211-1-1-1-1-2-2111111-2-2202220-1-1-1-1-2211-1-10000110-200-1-100110000000
χ292222-122222-1-1-12-1-1-1-1222-1-12222222-1-1-1-122-1-1-1-1000200020000-1-1-1-1-1-100220020-1-100-1-100000-1-100
χ302222-122222-1-1-12-1-1-1-1222-1-12222222-1-1-1-122-1-1-1-1000-2000-20000-1-1-1-1-1-100-2-200-20110011000001100
χ312222-122222-1-1-12-1-1-1-1222-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-100020002000011111100-2-20020-1-100-1-1000001100
χ322222-122222-1-1-12-1-1-1-1222-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-1000-2000-20000111111002200-2011001100000-1-100
χ332222-122222-1-1-12-1-1-1-1-2-22-1-122-222-2-2-1-111-2-21111000200020000-11-1-11100-2200-20-1-10011000001-100
χ342222-122222-1-1-12-1-1-1-1-2-22-1-122-222-2-2-1-111-2-21111000-2000-20000-11-1-111002-200201100-1-100000-1100
χ352222-122222-1-1-12-1-1-1-1-2-22-1-12-22-2-222-1-111-2-211110002000200001-111-1-1002-200-20-1-1001100000-1100
χ362222-122222-1-1-12-1-1-1-1-2-22-1-12-22-2-222-1-111-2-21111000-2000-200001-111-1-100-2200201100-1-1000001-100
χ372-22-222-22-2-2-2-2222-2-222-2-22-22000000-222-22-222-2-22-2002-200000000000000002-200002-200000000000
χ382-22-222-22-2-2-2-2222-2-222-2-22-22000000-222-22-222-2-2-2200-220000000000000000-220000-2200000000000
χ392-22-222-22-2-2-2-2222-2-22-22-22-22000000-22-22-22-2-2222-200-2200000000000000002-20000-2200000000000
χ402-22-222-22-2-2-2-2222-2-22-22-22-22000000-22-22-22-2-222-22002-20000000000000000-2200002-200000000000
χ412-22-22-1-2211-2-22-1-111-12-212-2-100−i3i3−i3i31-12-2-11-1-1112-2002-200−i3i3−i3i300−i3i3−i3i30000-110000-1100−i3i30000000
χ422-22-22-1-2211-2-22-1-111-12-212-2-100−i3i3−i3i31-12-2-11-1-111-2200-2200i3−i3i3−i300−i3i3−i3i300001-100001-100i3−i30000000
χ432-22-22-1-2211-2-22-1-111-12-212-2-100i3−i3i3−i31-12-2-11-1-1112-2002-200i3−i3i3−i300i3−i3i3−i30000-110000-1100i3−i30000000
χ442-22-22-1-2211-2-22-1-111-12-212-2-100i3−i3i3−i31-12-2-11-1-111-2200-2200−i3i3−i3i300i3−i3i3−i300001-100001-100−i3i30000000
χ452-22-22-1-2211-2-22-1-111-1-2212-2-100−i3i3i3−i31-1-221-111-1-12-200-2200−i3i3−i3i300−i3i3i3−i30000-1100001-100i3−i30000000
χ462-22-22-1-2211-2-22-1-111-1-2212-2-100−i3i3i3−i31-1-221-111-1-1-22002-200i3−i3i3−i300−i3i3i3−i300001-10000-1100−i3i30000000
χ472-22-22-1-2211-2-22-1-111-1-2212-2-100i3−i3−i3i31-1-221-111-1-12-200-2200i3−i3i3−i300i3−i3−i3i30000-1100001-100−i3i30000000
χ482-22-22-1-2211-2-22-1-111-1-2212-2-100i3−i3−i3i31-1-221-111-1-1-22002-200−i3i3−i3i300i3−i3−i3i300001-10000-1100i3−i30000000
χ4944444-2-4-4-2-2444-2-2-2-2-2002-4-420000002200000000004000-40-2-22200000000000000000000000000000
χ5044444-2-4-4-2-2444-2-2-2-2-2002-4-42000000220000000000-40004022-2-200000000000000000000000000000
χ514444-24-4-444-2-2-24-2-2-2-200-422-400000022000000000004000-4000000000000000000-220000000000000
χ524444-24-4-444-2-2-24-2-2-2-200-422-40000002200000000000-400040000000000000000002-20000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-444004-44-4-4-444-4-400000000000000000000000000000000000000000000000000000000022−220000
χ5844-4-444004-44-4-4-444-4-4000000000000000000000000000000000000000000000000000000000−22220000
χ594-44-4444-4-4-4-4-4444-4-44004-44-40000004-40000000000000000000000000000000000000000000000000
χ604-44-44-24-422-4-44-2-222-200-2-442000000-220000000000000000−2i32i32i3−2i300000000000000000000000000000
χ614-44-44-24-422-4-44-2-222-200-2-442000000-2200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ624-44-4-244-4-4-422-24-222-20042-2-4000000-2200000000000000000000000000000000000000−2i32i3000000000
χ634-44-4-244-4-4-422-24-222-20042-2-4000000-22000000000000000000000000000000000000002i3−2i3000000000
χ644-44-4-24-44-4-422-24-222-24-4-4-2240000002-2-224-4-2-22200000000000000000000000000000000000000000
χ654-44-4-24-44-4-422-24-222-2-44-4-2240000002-22-2-4422-2-200000000000000000000000000000000000000000
χ664-44-4-2-2-442222-2-21-1-114-42-22-200−2i32i3−2i32i3-11-22-2211-1-100000000000000i3−i3i3−i300000000000000000000000
χ674-44-4-2-2-442222-2-21-1-114-42-22-2002i3−2i32i3−2i3-11-22-2211-1-100000000000000−i3i3−i3i300000000000000000000000
χ684-44-4-2-2-442222-2-21-1-11-442-22-200−2i32i32i3−2i3-112-22-2-1-11100000000000000i3−i3−i3i300000000000000000000000
χ694-44-4-2-2-442222-2-21-1-11-442-22-2002i3−2i3−2i32i3-112-22-2-1-11100000000000000−i3i3i3−i300000000000000000000000
χ704-4-444400-44-44-4-44-44-400000000000000000000000000000000000000004i−4i000000000000000000000
χ714-4-444400-44-44-4-44-44-40000000000000000000000000000000000000000−4i4i000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-400-448-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-48008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-44-444422-2-200000000000000000032−3232−3200000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-2000000000000000000−3232−323200000000000000000000000000000000000000000
χ778-88-8-4-48-84444-4-42-2-2200-44-440000002-20000000000000000000000000000000000000000000000000
χ788-8-888-4004-4-88-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-884-44-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004-44-4442-22-200000000000000000032−32−323200000000000000000000000000000000000000000
χ818-8-88-4-4004-44-4442-22-2000000000000000000−323232−3200000000000000000000000000000000000000000

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