Finite Group Databasebeta

← Group #11872528

Character table — Group #11872528

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242444446688121224242424121212121244812121212121212242422441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-1-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-11-11-1-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-111111-1-11111-111-1-1-11-1111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1111-1-1-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11-1-11111-11-1-1-1-111-1-1-1-11111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11-1-111-111-111-1-1111111-1-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11-1-11111111-1-111111-1-1111-1-11-1-111-1-1-1-111-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-11111-1-1-111-1-111111-1-111-1-11-11111-1-111-1-111-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000020000-22200-2-2000000000000-20000000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200002-2-200-2-2000000000000200000000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000020000-2220022000000000000-200000000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-200002-2-2002200000000000020000000000-22000
χ2122222-1222-1-1-122-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-1222002-1-100000000-1-1-1-1-1202-1-1-10000-1-10000-100
χ2222222-1222-1-1-122-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-1-2-2-200-21100000000-1-1-1-1-1-20-21110000110000100
χ2322222-1222-1-1-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-1-2-222-1-1111111222002-1-1000000001-1-111-20-2-1-1-10000110000100
χ2422222-1222-1-1-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-1-2-222-1-1111111-2-2-200-211000000001-1-1112021110000-1-10000-100
χ2522222-1222-1-1-122-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-12-2-2002-1-10000000011111-202-1110000-1-10000100
χ2622222-1222-1-1-122-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-22200-211000000001111120-21-1-10000110000-100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-20000000021122-2-2-1-11111112-2-2002-1-100000000-111-1-120-2-1110000110000-100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-20000000021122-2-2-1-1111111-22200-21100000000-111-1-1-2021-1-10000-1-10000100
χ292222-1222-1222-1-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-10002200022-1-1-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-1222-1222-1-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1000-2-2000-2-21111112-1-1-1-10-200001111000000000
χ312222-1222-1222-1-1-122-1-1-1-2-22-12-111112222-1-1-1-1-22211-1-1-1-1-2-2111100022000-2-2-1-11111-2-1-1110-20000-1-111000000000
χ322222-1222-1222-1-1-122-1-1-1-2-22-12-11111-2-2-2-21111-22211-1-1-1-1-2-21111000-2-20002211-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-1222-1222-1-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1000-2-200022-1-1-1-1-1-1-211110-200001111000000000
χ342222-1222-1222-1-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-100022000-2-2111111-21111020000-1-1-1-1000000000
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-2-2-1-111-1-1-2-21111000-2-2000-2-2-1-11111211-1-102000011-1-1000000000
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-2-2-1-111-1-1-2-21111000220002211-1-1-1-1211-1-10-20000-1-111000000000
χ372-2-22222-2-22-2-22-222i−2i-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i02i−2i002i−2i2-20000000002-2000002i−2i000002i−2i000000002-200000000000
χ382-2-22222-2-22-2-22-222i−2i-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i02i−2i002i−2i2-2000000000-2200000−2i2i000002i−2i00000000-2200000000000
χ392-2-22222-2-22-2-22-22−2i2i-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i0−2i2i00−2i2i2-2000000000-22000002i−2i00000−2i2i00000000-2200000000000
χ402-2-22222-2-22-2-22-22−2i2i-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i0−2i2i00−2i2i2-20000000002-200000−2i2i00000−2i2i000000002-200000000000
χ412-2-2222-22-22-2-22-2200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-2200000002i−2i0000000−2i2i00000000000002i−2i0000002-200000
χ422-2-2222-22-22-2-22-2200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-220000000−2i2i0000000−2i2i0000000000000−2i2i000000-2200000
χ432-2-2222-22-22-2-22-2200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-2200000002i−2i00000002i−2i00000000000002i−2i000000-2200000
χ442-2-2222-22-22-2-22-2200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-220000000−2i2i00000002i−2i0000000000000−2i2i0000002-200000
χ452-2-22-122-212-2-2-11-12i−2i11-100-212-133−3−32i−2i2i−2i−i−iii02i−2i−i3i3−ii-110033−3−30002-200000−ii−i3−i3i3i30−ii−i3i3000000-113−3000000000
χ462-2-22-122-212-2-2-11-12i−2i11-100-212-133−3−3−2i2i−2i2iii−i−i02i−2i−i3i3−ii-110033−3−3000-2200000i−ii3i3−i3−i30−ii−i3i30000001-1−33000000000
χ472-2-22-122-212-2-2-11-12i−2i11-100-212-1−3−3332i−2i2i−2i−i−iii02i−2ii3−i3−ii-1100−3−3330002-200000−iii3i3−i3−i30−iii3−i3000000-11−33000000000
χ482-2-22-122-212-2-2-11-12i−2i11-100-212-1−3−333−2i2i−2i2iii−i−i02i−2ii3−i3−ii-1100−3−333000-2200000i−i−i3−i3i3i30−iii3−i30000001-13−3000000000
χ492-2-22-122-212-2-2-11-1−2i2i11-100-212-133−3−32i−2i2i−2i−i−iii0−2i2ii3−i3i−i-110033−3−3000-2200000−ii−i3−i3i3i30i−ii3−i30000001-1−33000000000
χ502-2-22-122-212-2-2-11-1−2i2i11-100-212-133−3−3−2i2i−2i2iii−i−i0−2i2ii3−i3i−i-110033−3−30002-200000i−ii3i3−i3−i30i−ii3−i3000000-113−3000000000
χ512-2-22-122-212-2-2-11-1−2i2i11-100-212-1−3−3332i−2i2i−2i−i−iii0−2i2i−i3i3i−i-1100−3−333000-2200000−iii3i3−i3−i30i−i−i3i30000001-13−3000000000
χ522-2-22-122-212-2-2-11-1−2i2i11-100-212-1−3−333−2i2i−2i2iii−i−i0−2i2i−i3i3i−i-1100−3−3330002-200000i−i−i3−i3i3i30i−i−i3i3000000-11−33000000000
χ5344444-2-4-44-2-2-244-200-2-2-2002-42-400000000000000000002200000040000-4-2-200000000000000002000000000000000
χ5444444-2-4-44-2-2-244-200-2-2-2002-42-4000000000000000000022000000-400004220000000000000000-2000000000000000
χ554444-24-4-4-2444-2-2-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ6244-4-444004-44-4-4-44004-4-400000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ6344-4-4-2400-2-44-422-200-222000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i60000000022−2200−22−22000000000000000000000000
χ6444-4-4-2400-2-44-422-200-222000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i600000000−2222002−22−2000000000000000000000000
χ6544-4-4-2400-2-44-422-200-222000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i600000000−2222002−22−2000000000000000000000000
χ6644-4-4-2400-2-44-422-200-222000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i60000000022−2200−22−22000000000000000000000000
χ674-44-44400-4-4-44-44400-44-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ684-44-44400-4-4-44-44400-44-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ694-44-44-200-422-2-44-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000−2i32i3000000000000000000000006−60000000
χ704-44-44-200-422-2-44-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000002i3−2i300000000000000000000000−660000000
χ714-44-44-200-422-2-44-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000−2i32i300000000000000000000000−660000000
χ724-44-44-200-422-2-44-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000002i3−2i3000000000000000000000006−60000000
χ734-44-4-24002-4-442-2-2002-22−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ744-44-4-24002-4-442-2-2002-22−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ754-44-4-24002-4-442-2-2002-222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ764-44-4-24002-4-442-2-2002-222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ774-4-444-24-4-4-2224-4-24i−4i22-2002-4-240000000000000−2i2i004i−4i-2200000000000000000000000−2i2i000000000000000000000
χ784-4-444-24-4-4-2224-4-2−4i4i22-2002-4-2400000000000002i−2i00−4i4i-22000000000000000000000002i−2i000000000000000000000
χ794-4-444-2-44-4-2224-4-20022-200-242-400000000000000000002-200000004i−4i0000000000000000000000−2i2i0000000000000
χ804-4-444-2-44-4-2224-4-20022-200-242-400000000000000000002-20000000−4i4i00000000000000000000002i−2i0000000000000
χ814-4-44-24-4424-4-4-22-20022-2004-2-4200004i−4i−4i4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ824-4-44-24-4424-4-4-22-20022-2004-2-420000−4i4i4i−4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ834-4-44-2-24-42-222-2214i−4i-1-110022-2-22323−23−23000000000−2i2i−2i32i3−2i2i1-100−3−33300000000000000000i−ii3−i30000000000000000000
χ844-4-44-2-24-42-222-2214i−4i-1-110022-2-2−23−232323000000000−2i2i2i3−2i3−2i2i1-10033−3−300000000000000000i−i−i3i30000000000000000000
χ854-4-44-2-24-42-222-221−4i4i-1-110022-2-22323−23−230000000002i−2i2i3−2i32i−2i1-100−3−33300000000000000000−ii−i3i30000000000000000000
χ864-4-44-2-24-42-222-221−4i4i-1-110022-2-2−23−2323230000000002i−2i−2i32i32i−2i1-10033−3−300000000000000000−iii3−i30000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-40084-44-8-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44-44442002-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ9088-8-8-4-400-44-44442002-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ918-88-8-4-400444-44-4200-22-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ928-88-8-4-400444-44-4200-22-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000
χ938-8-88-4-4-884-444-44200-2-2200-4-4440000000000000000000-220000000000000000000000000000000000000000000000

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