Finite Group Databasebeta

← Group #11886866

Character table — Group #11886866

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222444444444444444444446666888888888888888888888888121212121212121212122424242424242424242424242424242424243636727272
order122334466223446666666121212121212121288884666666612121212121212121212121212121212224488242424242266666688121224242424242444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111111111111111111111111-11-11-111-1-11-1111-1-1-11-11-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111111111111111111111111-11-11-11-1-111-11-1-1-1111-11-11-1-1-1111-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111-111-11111-1-111111-1-1111111-11-1111-1-11-1-1-1-1-11111-1-1-1-1-1-11-11-1111111-1-11-1-1-1-1-1-111-11-1-111111-11-1
χ61111111111-111-11111-1-111111-1-11111-1-1-11-1111-1-11-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-111-1-1111-1-1111-1-1-1-1-1-1-11-11
χ71111111111-111-11111-1-111111-1-111-1-111-11-1111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-111-1-1-111111-1-11-11
χ81111111111-111-11111-1-111111-1-111-1-1-1-1-11-1111-1-11-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1111111-1-11-111-1-1-111-11-1
χ9111111111-111-1111-1-111111-1-111111111-1-111-1-111-11-1-1-1-111-1-111-1-1-1-1-11-11111111-1-1-1-1-11-1-11-1-111111-1-111-1-11
χ10111111111-111-1111-1-111111-1-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-11-1-1-1-11111-1-1111-111-1-111-1
χ11111111111-111-1111-1-111111-1-11111-1-111-1-111-1-111-11-1-1-1-111-1-111-1-1-1-11111-11-1-1111-11111-1-1-1-111-1-1-11-1-1-1-111-1
χ12111111111-111-1111-1-111111-1-11111-1-1-1-1-1-111-1-111-11-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-111111-111-111-1-1-1-1-11111-1-11
χ13111111111-1-11-1-111-1-1-1-1111-1-1-1-11111111-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-11-1-11-1-1111-1-1
χ14111111111-1-11-1-111-1-1-1-1111-1-1-1-11111-1-11-1-11-1-1-1-1-1-1111111-1-1-1-11111-11-111-111-1-11-1-1111-1-1-11-111-1-1-111-1-1-111
χ15111111111-1-11-1-111-1-1-1-1111-1-1-1-111-1-1111-1-11-1-1-1-1-1-1111111-1-1-1-111111-11-1-11-1-111-111-1-1-1111-11-1-1111-1-1-1-1-111
χ16111111111-1-11-1-111-1-1-1-1111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-11111-111-111111-1-1
χ172222-1222-122-1222-122-1-1-12-122-1-12-122002-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1202020-1-10020-1-1-100020-10-1-1-100000000
χ182222-1222-122-1222-122-1-1-12-122-1-12-1-2-2002-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-20-20-201100-20111000-201011100000000
χ192222-1222-12-2-12-22-12211-12-122112-12200-2-1-2-1-1-111-1-2-2-211-1-1-1-1111111202020-1-100-20-111000-20-10-11100000000
χ202222-1222-12-2-12-22-12211-12-122112-1-2-200-2-1-2-1-1-111-1-2-2-211-1-1-1-1111111-20-20-201100201-1-100020101-1-100000000
χ212222-1222-1-22-1-222-1-2-2-1-1-12-1-2-2-1-12-12200-212-111-1-112-2-211-1-111-1-11111-20-2020-1-100-201110002010-1-1-100000000
χ222222-1222-1-22-1-222-1-2-2-1-1-12-1-2-2-1-12-1-2-200-212-111-1-112-2-211-1-111-1-111112020-20110020-1-1-1000-20-1011100000000
χ232222-1222-1-2-2-1-2-22-1-2-211-12-1-2-2112-1220021-2-111111-222-1-1-1-11111-1-1-1-1-20-2020-1-100201-1-1000-2010-11100000000
χ242222-1222-1-2-2-1-2-22-1-2-211-12-1-2-2112-1-2-20021-2-111111-222-1-1-1-11111-1-1-1-12020-201100-20-11100020-101-1-100000000
χ25222-1222-1222-122-12-1-122-1-12-1-122-12002222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-102020200-1-102000-1-1-1020-1000-1-1-100000
χ26222-1222-1222-122-12-1-122-1-12-1-122-1200-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-10-20-20-200110-20001110-20100011100000
χ27222-1222-122-2-12-2-12-1-1-2-2-1-12-1-1-2-2-120022-221-1-1-1112111-2-2-1-1-1-11111110-20-20200-1-10-20001110201000-1-1-100000
χ28222-1222-122-2-12-2-12-1-1-2-2-1-12-1-1-2-2-1200-2-2-221-1-1-1112111-2-2-1-1-1-111111102020-2001102000-1-1-10-20-100011100000
χ29222-1222-12-22-1-22-121122-1-121122-120022-2-2-1-111-1-1-2-111-2-2-1-111-1-1111102020200-1-10-2000-1110-20-1000-11100000
χ30222-1222-12-22-1-22-121122-1-121122-1200-2-2-2-2-1-111-1-1-2-111-2-2-1-111-1-111110-20-20-20011020001-1-102010001-1-100000
χ31222-1222-12-2-2-1-2-2-1211-2-2-1-1211-2-2-1200222-21-11111-21-1-122-1-11111-1-1-1-10-20-20200-1-1020001-1-10-201000-11100000
χ32222-1222-12-2-2-1-2-2-1211-2-2-1-1211-2-2-1200-2-22-21-11111-21-1-122-1-11111-1-1-1-102020-200110-2000-111020-10001-1-100000
χ3322-2222-2220220-2-2-200222-2200-2-22-20022002-200220-200002-200-2-200000-2020-2002200000-2000002000-20000000
χ3422-2222-2220220-2-2-200222-2200-2-22-200-2-2002-200220-200002-200-2-20000020-20200-2-200000200000-200020000000
χ3522-2222-2220-2202-2-200-2-22-2200222-2002200-2-200-2-20200002-200220000020-20-2002200000200000-2000-20000000
χ3622-2222-2220-2202-2-200-2-22-2200222-200-2-200-2-200-2-20200002-2002200000-2020200-2-200000-200000200020000000
χ3722-222-2222202-20-2-2220022-2-2-200-222200020-22200-200000-22-2-2000000-2020-20220000-2000000020-20000000000
χ3822-222-2222202-20-2-2220022-2-2-200-22-2-200020-22200-200000-22-2-200000020-2020-2-2000020000000-2020000000000
χ3922-222-2222-20220-2-2-2-20022-22200-2222000-20-2-2-200200000-222200000020-20-2022000020000000-20-20000000000
χ4022-222-2222-20220-2-2-2-20022-22200-22-2-2000-20-2-2-200200000-2222000000-202020-2-20000-200000002020000000000
χ4122-22-1-222-120-1-20-2122−i3i3-121-2-2−i3i3-2-122000-101-1-1−i3i31000−i3i31-111−i3i3−i3−i3i3i3-2020-20-1-100001−i3i300000-101−i3i300000000
χ4222-22-1-222-120-1-20-2122−i3i3-121-2-2−i3i3-2-1-2-2000-101-1-1−i3i31000−i3i31-111−i3i3−i3−i3i3i320-2020110000-1i3−i30000010-1i3−i300000000
χ4322-22-1-222-120-1-20-2122i3−i3-121-2-2i3−i3-2-122000-101-1-1i3−i31000i3−i31-111i3−i3i3i3−i3−i3-2020-20-1-100001i3−i300000-101i3−i300000000
χ4422-22-1-222-120-1-20-2122i3−i3-121-2-2i3−i3-2-1-2-2000-101-1-1i3−i31000i3−i31-111i3−i3i3i3−i3−i320-2020110000-1−i3i30000010-1−i3i300000000
χ4522-22-1-222-1-20-120-21-2-2−i3i3-12122−i3i3-2-12200010111−i3i3-1000i3−i31-1-1-1−i3i3i3i3−i3−i320-20-20-1-10000-1i3−i300000101−i3i300000000
χ4622-22-1-222-1-20-120-21-2-2−i3i3-12122−i3i3-2-1-2-200010111−i3i3-1000i3−i31-1-1-1−i3i3i3i3−i3−i3-2020201100001−i3i300000-10-1i3−i300000000
χ4722-22-1-222-1-20-120-21-2-2i3−i3-12122i3−i3-2-12200010111i3−i3-1000−i3i31-1-1-1i3−i3−i3−i3i3i320-20-20-1-10000-1−i3i300000101i3−i300000000
χ4822-22-1-222-1-20-120-21-2-2i3−i3-12122i3−i3-2-1-2-200010111i3−i3-1000−i3i31-1-1-1i3−i3−i3−i3i3i3-2020201100001i3−i300000-10-1−i3i300000000
χ4922-2-122-2-1202-10-21-2−i3i322-112−i3i3-2-2-1-2002200-11−i3i3-1-101−i3i300-11−i3i311−i3i3−i3i30-2020-200-1-1000001−i3i3000-10001−i3i300000
χ5022-2-122-2-1202-10-21-2−i3i322-112−i3i3-2-2-1-200-2-200-11−i3i3-1-101−i3i300-11−i3i311−i3i3−i3i3020-202001100000-1i3−i30001000-1i3−i300000
χ5122-2-122-2-1202-10-21-2i3−i322-112i3−i3-2-2-1-2002200-11i3−i3-1-101i3−i300-11i3−i311i3−i3i3−i30-2020-200-1-1000001i3−i3000-10001i3−i300000
χ5222-2-122-2-1202-10-21-2i3−i322-112i3−i3-2-2-1-200-2-200-11i3−i3-1-101i3−i300-11i3−i311i3−i3i3−i3020-202001100000-1−i3i30001000-1−i3i300000
χ5322-2-122-2-120-2-1021-2−i3i3-2-2-112−i3i322-1-200220011−i3i3110-1i3−i300-11−i3i3-1-1i3−i3i3−i3020-20-200-1-100000-1i3−i300010001−i3i300000
χ5422-2-122-2-120-2-1021-2−i3i3-2-2-112−i3i322-1-200-2-20011−i3i3110-1i3−i300-11−i3i3-1-1i3−i3i3−i30-202020011000001−i3i3000-1000-1i3−i300000
χ5522-2-122-2-120-2-1021-2i3−i3-2-2-112i3−i322-1-200220011i3−i3110-1−i3i300-11i3−i3-1-1−i3i3−i3i3020-20-200-1-100000-1−i3i300010001i3−i300000
χ5622-2-122-2-120-2-1021-2i3−i3-2-2-112i3−i322-1-200-2-20011i3−i3110-1−i3i300-11i3−i3-1-1−i3i3−i3i30-202020011000001i3−i3000-1000-1−i3i300000
χ5744444-4-444004004400004-4-40000-4-4000000040000000000-4-400000000000000000000000000000000000000000
χ584444-2-4-44-200-2004-200−2i32i3-2-42002i3−2i3-420000000-200−2i32i300000022002i3−2i30000000000000000000000000000000000000
χ594444-2-4-44-200-2004-2002i3−2i3-2-4200−2i32i3-420000000-2002i3−2i30000002200−2i32i30000000000000000000000000000000000000
χ60444-24-4-4-2400-200-24−2i32i300-22-42i3−2i3002-40000000-2−2i32i300000000222i3−2i3000000000000000000000000000000000000000
χ61444-24-4-4-2400-200-242i3−2i300-22-4−2i32i3002-40000000-22i3−2i30000000022−2i32i3000000000000000000000000000000000000000
χ62444-2-244-2-244144-2-2-2-2-2-21-2-2-2-2-2-2-2-200004-2-211111-2-2-2-2-2-21111111111000000000000000000000000000000000
χ63444-2-244-2-24-414-4-2-2-2-2221-2-2-2-222-2-20000-4-22111-1-1-2222221111-1-1-1-1-1-1000000000000000000000000000000000
χ64444-2-244-2-2-441-44-2-222-2-21-2-222-2-2-2-20000-42-21-1-1112-2222211-1-111-1-1-1-1000000000000000000000000000000000
χ65444-2-244-2-2-4-41-4-4-2-222221-2-22222-2-200004221-1-1-1-122-2-2-2-211-1-1-1-11111000000000000000000000000000000000
χ66444-2-2-4-4-2-200100-2-2−2i32i3−2i32i31222i3−2i32i3−2i32200000001i3−i3i3−i3000000-1-1−i3i3−i3i3-333-3000000000000000000000000000000000
χ67444-2-2-4-4-2-200100-2-2−2i32i32i3−2i31222i3−2i3−2i32i32200000001i3−i3−i3i3000000-1-1−i3i3i3−i33-3-33000000000000000000000000000000000
χ68444-2-2-4-4-2-200100-2-22i3−2i3−2i32i3122−2i32i32i3−2i32200000001−i3i3i3−i3000000-1-1i3−i3−i3i33-3-33000000000000000000000000000000000
χ69444-2-2-4-4-2-200100-2-22i3−2i32i3−2i3122−2i32i3−2i32i32200000001−i3i3−i3i3000000-1-1i3−i3i3−i3-333-3000000000000000000000000000000000
χ7044-44-24-44-204-20-4-4200-2-2-2-4-20022420000004200-2-20-40000-2200220000000000000000000000000000000000000
χ7144-44-24-44-20-4-204-420022-2-4-200-2-242000000-420022040000-2200-2-20000000000000000000000000000000000000
χ7244-4-24-44-2440-2-402-4-2-200-2-2-422002400000402-2-200-4000002-222000000000000000000000000000000000000000
χ7344-4-24-44-24-40-2402-42200-2-2-4-2-2002400000-40222004000002-2-2-2000000000000000000000000000000000000000
χ7444-4-2-24-4-2-20410-422−2i32i3-2-212-2−2i32i322-22000000-2-1i3−i31102−2i32i3001-1i3−i3-1-1i3−i3i3−i3000000000000000000000000000000000
χ7544-4-2-24-4-2-20410-4222i3−2i3-2-212-22i3−2i322-22000000-2-1−i3i311022i3−2i3001-1−i3i3-1-1−i3i3−i3i3000000000000000000000000000000000
χ7644-4-2-24-4-2-20-410422−2i32i32212-2−2i32i3-2-2-220000002-1i3−i3-1-10-22i3−2i3001-1i3−i311−i3i3−i3i3000000000000000000000000000000000
χ7744-4-2-24-4-2-20-4104222i3−2i32212-22i3−2i3-2-2-220000002-1−i3i3-1-10-2−2i32i3001-1−i3i311i3−i3i3−i3000000000000000000000000000000000
χ7844-4-2-2-44-2-2401-4022-2-2−2i32i31-2222−2i32i32-200000-20-111i3−i32000−2i32i3-11-1-1i3−i3i3i3−i3−i3000000000000000000000000000000000
χ7944-4-2-2-44-2-2401-4022-2-22i3−2i31-22222i3−2i32-200000-20-111−i3i320002i3−2i3-11-1-1−i3i3−i3−i3i3i3000000000000000000000000000000000
χ8044-4-2-2-44-2-2-401402222−2i32i31-22-2-2−2i32i32-20000020-1-1-1i3−i3-20002i3−2i3-1111i3−i3−i3−i3i3i3000000000000000000000000000000000
χ8144-4-2-2-44-2-2-4014022222i3−2i31-22-2-22i3−2i32-20000020-1-1-1−i3i3-2000−2i32i3-1111−i3i3i3i3−i3−i3000000000000000000000000000000000
χ824-404400-4-400400000000-400000000−2i22i2−2i22i2000000000000000000000000000000−2i22i2−2i22i20000000000000000002-2000
χ834-404400-4-400400000000-400000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i2000000000000000000-22000
χ844-404400-4-400400000000-4000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i2000000000000000000-22000
χ854-404400-4-400400000000-4000000002i2−2i22i2−2i20000000000000000000000000000002i2−2i22i2−2i20000000000000000002-2000
χ868-808-400-8400-400000000400000000−4i24i2000000000000000000000000000000002i2−2i20000000000000000000000000
χ878-808-400-8400-4000000004000000004i2−4i200000000000000000000000000000000−2i22i20000000000000000000000000
χ888-80-48004-800-40000000040000000000−4i24i2000000000000000000000000000000002i2−2i200000000000000000000000
χ898-80-48004-800-400000000400000000004i2−4i200000000000000000000000000000000−2i22i200000000000000000000000
χ9016-160-8-8008800400000000-4000000000000000000000000000000000000000000000000000000000000000000000

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