Finite Group Databasebeta

← Group #11872853

Character table — Group #11872853

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242444441212121241212121212121212242424242424222444881212121224242424121212121244666812121212242422441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-111-1-1-1-1-1-1111111-11-1-1111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1111-111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1111-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-111-1-1-11111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-1-11-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1111-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-11111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-11-1-1-1111111111-1-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111111-1-1111-1111-1-1-1-1-1-1-111-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-111-1-1-111111-1-111-1-111-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-2-2-200000000000200000000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-22000022-2-200000000000-2000000000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-20000-2-222000000000002000000000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-220000222200000000000-200000000000-22000
χ2122222-122-1-1222-1-122-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-12200002200-1-1-1-1-1-12-1-1-1-1020-1-1000-1-1000000000
χ2222222-122-1-1222-1-122-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-20000-2-2001111112-1-1-1-10-201100011000000000
χ2322222-122-1-1222-1-122-1-1-1-2-2-12-1211112222-1-1-1-1-211-1-122-1-1-2-21111220000-2-200-1-11111-2-1-1110-20-1-100011000000000
χ2422222-122-1-1222-1-122-1-1-1-2-2-12-121111-2-2-2-21111-211-1-122-1-1-2-21111-2-20000220011-1-1-1-1-2-1-11102011000-1-1000000000
χ2522222-122-1-1222-1-1-2-2-1-1-122-12-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-200002200-1-1-1-1-1-1-211110-201100011000000000
χ2622222-122-1-1222-1-1-2-2-1-1-122-12-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1220000-2-200111111-21111020-1-1000-1-1000000000
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-2-12-1211112222-1-1-1-12-1-111-2-2-1-1-2-21111-2-20000-2-200-1-11111211-1-102011000-1-1000000000
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-2-12-121111-2-2-2-211112-1-111-2-2-1-1-2-21111220000220011-1-1-1-1211-1-10-20-1-100011000000000
χ292222-122222-1-1-12-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-100222200-1-1000000-1-1-1-1-120-1002-1-100-1-10000-100
χ302222-122222-1-1-12-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-20011000000-1-1-1-1-1-20100-21100110000100
χ312222-122222-1-1-12-122-1-1-1-2-22-12-1-2-2-2-200000000-2-2-222-1-1-1-111111100222200-1-10000001-1-111-20-100-2-1-100110000100
χ322222-122222-1-1-12-122-1-1-1-2-22-12-1-2-2-2-200000000-2-2-222-1-1-1-111111100-2-2-2-200110000001-1-1112010021100-1-10000-100
χ332222-122222-1-1-12-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-10022-2-200-1-100000011111-20-10021100-1-10000100
χ342222-122222-1-1-12-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-2-22200110000001111120100-2-1-100110000-100
χ352222-122222-1-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-200000000222-2-211-1-11111110022-2-200-1-1000000-111-1-120-100-21100110000-100
χ362222-122222-1-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-200000000222-2-211-1-111111100-2-2220011000000-111-1-1-201002-1-100-1-10000100
χ372-22-2222-22-22-2-2-222i−2i-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i0002i−2i2i−2i2-20000002-2000000002i−2i000002i−2i000002-200000000000000
χ382-22-2222-22-22-2-2-222i−2i-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i0002i−2i2i−2i2-2000000-2200000000−2i2i000002i−2i00000-2200000000000000
χ392-22-2222-22-22-2-2-22−2i2i-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i000−2i2i−2i2i2-2000000-22000000002i−2i00000−2i2i00000-2200000000000000
χ402-22-2222-22-22-2-2-22−2i2i-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i000−2i2i−2i2i2-20000002-200000000−2i2i00000−2i2i000002-200000000000000
χ412-22-222-222-22-2-2-2200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-2200000000002i−2i0000−2i2i0000000000000002i−2i00002-200000
χ422-22-222-222-22-2-2-2200-2-220022-2-200002i−2i−2i2i2i2i−2i−2i0000000-220000000000−2i2i0000−2i2i000000000000000−2i2i0000-2200000
χ432-22-222-222-22-2-2-2200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-2200000000002i−2i00002i−2i0000000000000002i−2i0000-2200000
χ442-22-222-222-22-2-2-2200-2-220022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-220000000000−2i2i00002i−2i000000000000000−2i2i00002-200000
χ452-22-22-12-2-112-2-21-12i−2i11-1001-2-1233−3−32i−2i2i−2i−i−iii0−i3i3−ii2i−2i-110033−3−32-200000000−ii−i3−i3i3i30−ii−i3i3000-110003−3000000000
χ462-22-22-12-2-112-2-21-12i−2i11-1001-2-1233−3−3−2i2i−2i2iii−i−i0−i3i3−ii2i−2i-110033−3−3-2200000000i−ii3i3−i3−i30−ii−i3i30001-1000−33000000000
χ472-22-22-12-2-112-2-21-12i−2i11-1001-2-12−3−3332i−2i2i−2i−i−iii0i3−i3−ii2i−2i-1100−3−3332-200000000−iii3i3−i3−i30−iii3−i3000-11000−33000000000
χ482-22-22-12-2-112-2-21-12i−2i11-1001-2-12−3−333−2i2i−2i2iii−i−i0i3−i3−ii2i−2i-1100−3−333-2200000000i−i−i3−i3i3i30−iii3−i30001-10003−3000000000
χ492-22-22-12-2-112-2-21-1−2i2i11-1001-2-1233−3−32i−2i2i−2i−i−iii0i3−i3i−i−2i2i-110033−3−3-2200000000−ii−i3−i3i3i30i−ii3−i30001-1000−33000000000
χ502-22-22-12-2-112-2-21-1−2i2i11-1001-2-1233−3−3−2i2i−2i2iii−i−i0i3−i3i−i−2i2i-110033−3−32-200000000i−ii3i3−i3−i30i−ii3−i3000-110003−3000000000
χ512-22-22-12-2-112-2-21-1−2i2i11-1001-2-12−3−3332i−2i2i−2i−i−iii0−i3i3i−i−2i2i-1100−3−333-2200000000−iii3i3−i3−i30i−i−i3i30001-10003−3000000000
χ522-22-22-12-2-112-2-21-1−2i2i11-1001-2-12−3−333−2i2i−2i2iii−i−i0−i3i3i−i−2i2i-1100−3−3332-200000000i−i−i3−i3i3i30i−i−i3i3000-11000−33000000000
χ5344444-2-4-4-2-2444-2-200-2-2-2002-42-4000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-2002-42-40000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ554444-24-4-444-2-2-24-200-2-2-200-42-42000000000000000000022000000004-40000220000000000000-20000000000000000
χ564444-24-4-444-2-2-24-200-2-2-200-42-4200000000000000000002200000000-440000-2-2000000000000020000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44400-44-4-44-4400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-44400-44-4-44-4400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-2002-2-4-442-2002-22−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ6444-4-44-2002-2-4-442-2002-22−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ6544-4-44-2002-2-4-442-2002-222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ6644-4-44-2002-2-4-442-2002-222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ6744-4-4-2400-4422-2-4-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000023−23000000000000000000000i6−i60000000
χ6844-4-4-2400-4422-2-4-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i200000000−2323000000000000000000000−i6i60000000
χ6944-4-4-2400-4422-2-4-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000023−23000000000000000000000−i6i60000000
χ7044-4-4-2400-4422-2-4-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i200000000−2323000000000000000000000i6−i60000000
χ714-44-44-2-44-224-4-42-20022-200-242-400004i−4i−4i4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ724-44-44-2-44-224-4-42-20022-200-242-40000−4i4i4i−4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ734-44-4-244-44-4-222-4-24i−4i22-200-424-20000000000000004i−4i−2i2i-2200000000000000000000000−2i2i000000000000000000000
χ744-44-4-244-44-4-222-4-2−4i4i22-200-424-2000000000000000−4i4i2i−2i-22000000000000000000000002i−2i000000000000000000000
χ754-44-4-24-444-4-222-4-20022-2004-2-4200000000000000000002-200000000004i−4i000000000000000000000−2i2i00000000000
χ764-44-4-24-444-4-222-4-20022-2004-2-4200000000000000000002-20000000000−4i4i0000000000000000000002i−2i00000000000
χ774-44-4-2-24-4-22-222214i−4i-1-110022-2-22323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i−ii3−i30000000000000000000
χ784-44-4-2-24-4-22-222214i−4i-1-110022-2-2−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000i−i−i3i30000000000000000000
χ794-44-4-2-24-4-22-22221−4i4i-1-110022-2-22323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−ii−i3i30000000000000000000
χ804-44-4-2-24-4-22-22221−4i4i-1-110022-2-2−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000−iii3−i30000000000000000000
χ814-4-444400-4-4-44-444004-4-4000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ824-4-444400-4-4-44-444004-4-40000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ834-4-444-20022-44-4-2-200-222000000i6−i6−i6i6000023−23−232300000000000i6−i6−i6i6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ844-4-444-20022-44-4-2-200-222000000i6−i6−i6i60000−232323−2300000000000i6−i6−i6i60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ854-4-444-20022-44-4-2-200-222000000−i6i6i6−i6000023−23−232300000000000−i6i6i6−i60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ864-4-444-20022-44-4-2-200-222000000−i6i6i6−i60000−232323−2300000000000−i6i6i6−i6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-444-44200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-4004-444-44200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4-4-88-44-4444200-2-2200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ918-8-88-4800-8-84-448-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-42002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-400444-44-42002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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