Finite Group Databasebeta

← Group #11884308

Character table — Group #11884308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212122466121212122424242424242424222224446612126661212124444666688121224242424288121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111111111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-111-1-1-1-11-11111-1-1-1-1-111-1-1
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
χ5111111111111111111111111-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-111111111111-1-1-1111-111-1-1-1-111-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1-1-1111-1-11-1-1-111-1-1-111-11-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1111-1-1-1-1-11-1-1-111-1111-1-111-1111-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-11-1-11111-1-111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-111-111-111-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-111111-1-11-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-11-1-111-1-111-1-1-1-11-1-1-11-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1111-1-11-1-1-1111-1-1-111-1-1-1111-11-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000000022-2-222-2-200000022000000002-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000002-22-222-2-2000000-2-200000000-2200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-2000000000000-22-22-2-222000000-2-2000000002-200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-2000000000000-2-222-2-2220000002200000000-220000-2000000
χ2122222-122-1-122-12-1-1-1-122-122-122-1-1-1-1-1-122-1-1-1-1-1-122222002-1-1-1-12-1-12-1-10000-1-1-1-1020000-1-10000000
χ2222222-122-1-122-12-1-1-1-122-122-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-200-211112-1-12-1-1000011110-20000110000000
χ2322222-122-1-122-12-1-1-1-122-122-1-2-21111-1-122-1-1-1-1-1-12222-200-21111-211-2110000-1-1-1-10-20000110000000
χ2422222-122-1-122-12-1-1-1-122-122-1-2-21111-1-122-1-1-1-1-1-1-2-2-2-22002-1-1-1-1-211-21100001111020000-1-10000000
χ2522222-122-1-122-12-1-1-1-1-2-2-122-12-2-1-111-1-1-2-211111122-2-22002-1-1-1-12-1-1-2110000-1-1110-20000110000000
χ2622222-122-1-122-12-1-1-1-1-2-2-122-12-2-1-111-1-1-2-2111111-2-222-200-211112-1-1-211000011-1-1020000-1-10000000
χ2722222-122-1-122-12-1-1-1-1-2-2-122-1-2211-1-1-1-1-2-211111122-2-2-200-21111-2112-1-10000-1-111020000-1-10000000
χ2822222-122-1-122-12-1-1-1-1-2-2-122-1-2211-1-1-1-1-2-2111111-2-2222002-1-1-1-1-2112-1-1000011-1-10-20000110000000
χ292222-122222-1-12-1-1-1-1-1222-1-12222222-1-1-1-122-1-1-1-1000002200000-1-1-1-1-1-10022000020-1-1-1-100000-1-100
χ302222-122222-1-12-1-1-1-1-1222-1-12222222-1-1-1-122-1-1-1-100000-2-200000-1-1-1-1-1-100-2-20000-201111000001100
χ312222-122222-1-12-1-1-1-1-1222-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-100000220000011111100-2-2000020-1-1-1-1000001100
χ322222-122222-1-12-1-1-1-1-1222-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-100000-2-20000011111100220000-20111100000-1-100
χ332222-122222-1-12-1-1-1-1-1-2-22-1-122-222-2-2-1-111-2-21111000002200000-1-1-1111002-20000-20-1-11100000-1100
χ342222-122222-1-12-1-1-1-1-1-2-22-1-122-222-2-2-1-111-2-2111100000-2-200000-1-1-111100-2200002011-1-1000001-100
χ352222-122222-1-12-1-1-1-1-1-2-22-1-12-22-2-222-1-111-2-21111000002200000111-1-1-100-220000-20-1-111000001-100
χ362222-122222-1-12-1-1-1-1-1-2-22-1-12-22-2-222-1-111-2-2111100000-2-200000111-1-1-1002-200002011-1-100000-1100
χ372-2-2222-22-2-2-2-2222-2-222-2-22-22000000-222-22-222-2-22-22-20000000000000000002-22-2000000000000000
χ382-2-2222-22-2-2-2-2222-2-222-2-22-22000000-222-22-222-2-2-22-22000000000000000000-22-22000000000000000
χ392-2-2222-22-2-2-2-2222-2-22-22-22-22000000-22-22-22-2-2222-2-220000000000000000002-2-22000000000000000
χ402-2-2222-22-2-2-2-2222-2-22-22-22-22000000-22-22-22-2-222-222-2000000000000000000-222-2000000000000000
χ412-2-222-1-2211-2-2-12-111-12-212-2-100−i3i3−i3i31-12-2-11-1-1112-22-20000−i3i3−i3i30−i3i30−i3i30000-11-11000000−i3i30000000
χ422-2-222-1-2211-2-2-12-111-12-212-2-100−i3i3−i3i31-12-2-11-1-111-22-220000i3−i3i3−i30−i3i30−i3i300001-11-1000000i3−i30000000
χ432-2-222-1-2211-2-2-12-111-12-212-2-100i3−i3i3−i31-12-2-11-1-1112-22-20000i3−i3i3−i30i3−i30i3−i30000-11-11000000i3−i30000000
χ442-2-222-1-2211-2-2-12-111-12-212-2-100i3−i3i3−i31-12-2-11-1-111-22-220000−i3i3−i3i30i3−i30i3−i300001-11-1000000−i3i30000000
χ452-2-222-1-2211-2-2-12-111-1-2212-2-100−i3i3i3−i31-1-221-111-1-12-2-220000−i3i3−i3i30−i3i30i3−i30000-111-1000000i3−i30000000
χ462-2-222-1-2211-2-2-12-111-1-2212-2-100−i3i3i3−i31-1-221-111-1-1-222-20000i3−i3i3−i30−i3i30i3−i300001-1-11000000−i3i30000000
χ472-2-222-1-2211-2-2-12-111-1-2212-2-100i3−i3−i3i31-1-221-111-1-12-2-220000i3−i3i3−i30i3−i30−i3i30000-111-1000000−i3i30000000
χ482-2-222-1-2211-2-2-12-111-1-2212-2-100i3−i3−i3i31-1-221-111-1-1-222-20000−i3i3−i3i30i3−i30−i3i300001-1-11000000i3−i30000000
χ4944444-2-4-4-2-244-24-2-2-2-2002-4-4200000022000000000000400-4-2-22200000000000000000000000000000
χ5044444-2-4-4-2-244-24-2-2-2-2002-4-4200000022000000000000-400422-2-200000000000000000000000000000
χ514444-24-4-444-2-24-2-2-2-2-200-422-40000002200000000000004-4000000000000000000000-2200000000000
χ524444-24-4-444-2-24-2-2-2-2-200-422-4000000220000000000000-440000000000000000000002-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-1-1-21100000000000000000000000
χ5744-4-444004-44-4-4-444-4-4000000000000000000000000000000000000000000000000000000000−2i22i20000
χ5844-4-444004-44-4-4-444-4-40000000000000000000000000000000000000000000000000000000002i2−2i20000
χ594-44-44400-44-44-4-44-44-400000000000000000000000000000000000000004i−4i000000000000000000000
χ604-44-44400-44-44-4-44-44-40000000000000000000000000000000000000000−4i4i000000000000000000000
χ614-4-44444-4-4-4-4-4444-4-44004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-4-24-222-200-2-442000000-220000000000000000−2i32i32i3−2i300000000000000000000000000000
χ634-4-444-24-422-4-4-24-222-200-2-442000000-2200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ644-4-44-244-4-4-4224-2-222-20042-2-4000000-2200000000000000000000000000000000000000−2i32i3000000000
χ654-4-44-244-4-4-4224-2-222-20042-2-4000000-22000000000000000000000000000000000000002i3−2i3000000000
χ664-4-44-24-44-4-4224-2-222-24-4-4-2240000002-2-224-4-2-22200000000000000000000000000000000000000000
χ674-4-44-24-44-4-4224-2-222-2-44-4-2240000002-22-2-4422-2-200000000000000000000000000000000000000000
χ684-4-44-2-2-442222-2-21-1-114-42-22-200−2i32i3−2i32i3-11-22-2211-1-10000000000000i3−i30i3−i300000000000000000000000
χ694-4-44-2-2-442222-2-21-1-114-42-22-2002i3−2i32i3−2i3-11-22-2211-1-10000000000000−i3i30−i3i300000000000000000000000
χ704-4-44-2-2-442222-2-21-1-11-442-22-200−2i32i32i3−2i3-112-22-2-1-1110000000000000i3−i30−i3i300000000000000000000000
χ714-4-44-2-2-442222-2-21-1-11-442-22-2002i3−2i3−2i32i3-112-22-2-1-1110000000000000−i3i30i3−i300000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-400-448-84-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-48008-8-44-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-44-444422-2-2000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-20000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ778-88-88-4004-4-884-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-884-4-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-4442-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ808-88-8-4-4004-44-4442-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-42-2-2200-44-440000002-20000000000000000000000000000000000000000000000000

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