Finite Group Databasebeta

← Group #11872530

Character table — Group #11872530

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242244448812121212242424241212121212446681212121212242424441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-111-1111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-11111-111-1-1-1111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-11-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-11111-1-1-11111-1-111-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-11-1-111-1-111-1-111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-1111-111-1-11111-1-1-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111111-1-1111-1-1-1-1111-1-1-1-1-1-1111-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000002-200-2-2-2-2000000000000002000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-20000000000-220022-2-200000000000000-20000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-200-2-2220000000000000020000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-20000000000-2200222200000000000000-2000000-2200000
χ2122222-1222-1-12-12-122-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-122002200-1-1000000-1-1-1-1-120-1-12-10000-1-10000-100
χ2222222-1222-1-12-12-122-1-1-122-122-12222000000002-1-12222-1-1-1-1-1-1-1-1-2-200-2-20011000000-1-1-1-1-1-2011-210000110000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-122-1-2-2-2-200000000-2-1-1-2-222-1-111111122002200-1-10000001-1-111-20-1-1-2-10000110000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-122-1-2-2-2-200000000-2-1-1-2-222-1-1111111-2-200-2-200110000001-1-1112011210000-1-10000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-12200-2-200110000001111120-1-1-210000110000-100
χ2622222-1222-1-12-12-1-2-2-1-1-122-122-1222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-2002200-1-100000011111-20112-10000-1-10000100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-20000000021122-2-2-1-11111112200-2-20011000000-111-1-1-20-1-1210000-1-10000100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-20000000021122-2-2-1-1111111-2-2002200-1-1000000-111-1-12011-2-10000110000-100
χ292222-1222-122-12-1-122-1-1-1222-1-12-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-10022002200-1-1-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-1222-122-12-1-122-1-1-1222-1-12-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-100-2-200-2-2001111112-1-1-1-10-200001111000000000
χ312222-1222-122-12-1-122-1-1-1-2-22-1-1211112222-1-1-1-1-22211-1-1-1-1-2-21111002200-2-200-1-11111-2-1-1110-20000-1-111000000000
χ322222-1222-122-12-1-122-1-1-1-2-22-1-121111-2-2-2-21111-22211-1-1-1-1-2-2111100-2-200220011-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-1222-122-12-1-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-100-2-2002200-1-1-1-1-1-1-211110-200001111000000000
χ342222-1222-122-12-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1002200-2-200111111-21111020000-1-1-1-1000000000
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-2-2-1-111-1-1-2-2111100-2-200-2-200-1-11111211-1-102000011-1-1000000000
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-2-2-1-111-1-1-2-21111002200220011-1-1-1-1211-1-10-20000-1-111000000000
χ3722-2-2222-2-2-2-222-2200-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-220000002-2000000002i−2i000000000002-200000000002i−2i000
χ3822-2-2222-2-2-2-222-2200-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-22000000-22000000002i−2i00000000000-220000000000−2i2i000
χ3922-2-2222-2-2-2-222-2200-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-220000002-200000000−2i2i000000000002-20000000000−2i2i000
χ4022-2-2222-2-2-2-222-2200-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-22000000-2200000000−2i2i00000000000-2200000000002i−2i000
χ4122-2-222-22-2-2-222-222i−2i-2-22002-22-200002i−2i−2i2i2i2i−2i−2i02i−2i002i−2i2-2000000002-2000000−2i2i000002i−2i000000002-200000000000
χ4222-2-222-22-2-2-222-222i−2i-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i02i−2i002i−2i2-200000000-220000002i−2i000002i−2i00000000-2200000000000
χ4322-2-222-22-2-2-222-22−2i2i-2-22002-22-200002i−2i−2i2i2i2i−2i−2i0−2i2i00−2i2i2-200000000-22000000−2i2i00000−2i2i00000000-2200000000000
χ4422-2-222-22-2-2-222-22−2i2i-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i0−2i2i00−2i2i2-2000000002-20000002i−2i00000−2i2i000000002-200000000000
χ4522-2-2-12-221-2-2-121-12i−2i11-10021-1-233−3−32i−2i−2i2i−i−iii02i−2i−i3i3−ii-110033−3−3002-2000000i−i−i3−i3i3i30−ii−i3i3000000-113−3000000000
χ4622-2-2-12-221-2-2-121-12i−2i11-10021-1-233−3−3−2i2i2i−2iii−i−i02i−2i−i3i3−ii-110033−3−300-22000000−iii3i3−i3−i30−ii−i3i30000001-1−33000000000
χ4722-2-2-12-221-2-2-121-12i−2i11-10021-1-2−3−3332i−2i−2i2i−i−iii02i−2ii3−i3−ii-1100−3−333002-2000000i−ii3i3−i3−i30−iii3−i3000000-11−33000000000
χ4822-2-2-12-221-2-2-121-12i−2i11-10021-1-2−3−333−2i2i2i−2iii−i−i02i−2ii3−i3−ii-1100−3−33300-22000000−ii−i3−i3i3i30−iii3−i30000001-13−3000000000
χ4922-2-2-12-221-2-2-121-1−2i2i11-10021-1-233−3−32i−2i−2i2i−i−iii0−2i2ii3−i3i−i-110033−3−300-22000000i−i−i3−i3i3i30i−ii3−i30000001-1−33000000000
χ5022-2-2-12-221-2-2-121-1−2i2i11-10021-1-233−3−3−2i2i2i−2iii−i−i0−2i2ii3−i3i−i-110033−3−3002-2000000−iii3i3−i3−i30i−ii3−i3000000-113−3000000000
χ5122-2-2-12-221-2-2-121-1−2i2i11-10021-1-2−3−3332i−2i−2i2i−i−iii0−2i2i−i3i3i−i-1100−3−33300-22000000i−ii3i3−i3−i30i−i−i3i30000001-13−3000000000
χ5222-2-2-12-221-2-2-121-1−2i2i11-10021-1-2−3−333−2i2i2i−2iii−i−i0−2i2i−i3i3i−i-1100−3−333002-2000000−ii−i3−i3i3i30i−i−i3i3000000-11−33000000000
χ5344444-2-4-44-2-24-24-200-2-2-2002-4-4200000000000000000002200000000004-400220000000000000000-20000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2002-4-420000000000000000000220000000000-4400-2-2000000000000000020000000000000
χ554444-24-4-4-244-24-2-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-200-422-40000-4-44422220000000220000000000000000-2-20000000000000000000000000000
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
χ6144-4-44-24-4-4224-2-4-20022-20024-4-200000000000000000002-20000004-4000000000000000000000-22000000000000000
χ6244-4-44-24-4-4224-2-4-20022-20024-4-200000000000000000002-2000000-440000000000000000000002-2000000000000000
χ6344-4-44-2-44-4224-2-4-24i−4i22-200-2-4420000000000000−2i2i004i−4i-2200000000000000000000000−2i2i000000000000000000000
χ6444-4-44-2-44-4224-2-4-2−4i4i22-200-2-44200000000000002i−2i00−4i4i-22000000000000000000000002i−2i000000000000000000000
χ6544-4-4-244-42-4-4-242-20022-200-4-22400004i−4i4i−4i−2i−2i2i2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ6644-4-4-244-42-4-4-242-20022-200-4-2240000−4i4i−4i4i2i2i−2i−2i00000002-200000000000000002i−2i0000000000000000000000000000
χ6744-4-4-2-2-44222-2-2214i−4i-1-1100-22-222323−23−23000000000−2i2i−2i32i3−2i2i1-100−3−33300000000000000000i−ii3−i30000000000000000000
χ6844-4-4-2-2-44222-2-2214i−4i-1-1100-22-22−23−232323000000000−2i2i2i3−2i3−2i2i1-10033−3−300000000000000000i−i−i3i30000000000000000000
χ6944-4-4-2-2-44222-2-221−4i4i-1-1100-22-222323−23−230000000002i−2i2i3−2i32i−2i1-100−3−33300000000000000000−ii−i3i30000000000000000000
χ7044-4-4-2-2-44222-2-221−4i4i-1-1100-22-22−23−2323230000000002i−2i−2i32i32i−2i1-10033−3−300000000000000000−iii3−i30000000000000000000
χ714-44-4440044-4-4-4-44004-4-400000000000000000000000000000000000000022−22000022−2222−22000000000000000000000000
χ724-44-4440044-4-4-4-44004-4-4000000000000000000000000000000000000000−22220000−2222−2222000000000000000000000000
χ734-44-4-2400-24-42-42-200-222000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i600000022−220000−22−22000000000000000000000000
χ744-44-4-2400-24-42-42-200-222000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i6000000−222200002−22−2000000000000000000000000
χ754-44-4-2400-24-42-42-200-222000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i6000000−222200002−22−2000000000000000000000000
χ764-44-4-2400-24-42-42-200-222000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i600000022−220000−22−22000000000000000000000000
χ774-4-444400-4-44-4-44400-44-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-444400-4-44-4-44400-44-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-200-42-2-424-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i200000000−2i32i30000000000000000000006−60000000
χ804-4-444-200-42-2-424-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000002i3−2i3000000000000000000000−660000000
χ814-4-444-200-42-2-424-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i200000000−2i32i3000000000000000000000−660000000
χ824-4-444-200-42-2-424-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000002i3−2i30000000000000000000006−60000000
χ834-4-44-24002-442-4-2-2002-22−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ844-4-44-24002-442-4-2-2002-22−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ854-4-44-24002-442-4-2-2002-222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ864-4-44-24002-442-4-2-2002-222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-8444-4-44200-2-22004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-88-4008-44-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4-444442002-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-400-4-444442002-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-40044-444-4200-22-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-40044-444-4200-22-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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