Finite Group Databasebeta

← Group #11886793

Character table — Group #11886793

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222444444444444444444446666888888888888888888888888121212121212121212122424242424242424242424242424242424243636727272
order122334466223446666666121212121212121288882666666666666666121212121212121222448824242424246666881212121224242424242444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111111111111111111111111-11-11-111-1-11-1-11111-11-1-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111111111111111111111111111-11-11-11-1-111-111-1-1-1-11-1111-1-1-1111-1-1-1-1-1
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
χ51111111111-111-11111-1-111-1-1111111111-1-1-1-11-1-1111-1-1-1-1-1-11-11111-1-11-11-1111111-1-1-11-1-1-111-1-1-11-1-111111-11-1
χ61111111111-111-11111-1-111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11-11111-1-111111-111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-11-11
χ71111111111-111-11111-1-111-1-111111-1-111-1-1-1-11-1-1111-1-1-1-1-1-11-11111-1-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-1-111111-1-11-11
χ81111111111-111-11111-1-111-1-111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-11-11111-1-1-11-11-1-1-1-1-1-1111-1111-1-1111-111-1-1-111-11-1
χ9111111111-111-111-1-111111111-1-1111111-11-1-1-1-1-11-1-111-1-1-1-1-1111-1-111-11-11111111-1-11-1-1-11-1-11-1-11111-1-111-1-11
χ10111111111-111-111-1-111111111-1-11111-1-1-11-1-1-1-1-11-1-111-1-1-1-1-1111-1-111-1-1-1-11-111-1-1-11-1-1-1-111-1-111111-111-1-111-1
χ11111111111-111-111-1-111111111-1-111-1-111-11-1-1-1-1-11-1-111-1-1-1-1-1111-1-1111111-11-1-1111-11111-1-111-1-1-1-1-11-1-1-1-111-1
χ12111111111-111-111-1-111111111-1-111-1-1-1-1-11-1-1-1-1-11-1-111-1-1-1-1-1111-1-1111-11-1-1-1-1-1-1-111-1111-111-111-1-1-1-11111-1-11
χ13111111111-1-11-1-11-1-11-1-111-1-11-1-11111111-111-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1-11-1-1111-1-1
χ14111111111-1-11-1-11-1-11-1-111-1-11-1-11111-1-11-111-1111-1-1-1-11111-1-111-1-1-1-1-11-111-111-1-11-11-111-11-11-1-11-1-1-111-1-1-111
χ15111111111-1-11-1-11-1-11-1-111-1-11-1-111-1-1111-111-1111-1-1-1-11111-1-111-1-1-1-11-11-1-11-1-111-11-11-1-11-11-111-1111-1-1-1-1-111
χ16111111111-1-11-1-11-1-11-1-111-1-11-1-111-1-1-1-11-111-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-111-111111-1-1
χ172222-122-1222-122222-1-1-1-1-1-1-1222-1222002222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1202020-1-100200-1-1-120-1000-1-1-100000000
χ182222-122-1222-122222-1-1-1-1-1-1-1222-12-2-2002222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-20-20-201100-200111-20100011100000000
χ192222-122-122-2-12-2222-111-1-111222-122200-2-2-2-2-111-1-1-1111111-1-2-1-1-1-111202020-1-100-200-111-20-1000-11100000000
χ202222-122-122-2-12-2222-111-1-111222-12-2-200-2-2-2-2-111-1-1-1111111-1-2-1-1-1-111-20-20-2011002001-1-12010001-1-100000000
χ212222-122-12-22-1-222-2-2-1-1-1-1-1-1-12-2-2-122200-22-2-2111-111-1-1111112-1-111-1-1-20-2020-1-100-200111201000-1-1-100000000
χ222222-122-12-22-1-222-2-2-1-1-1-1-1-1-12-2-2-12-2-200-22-2-2111-111-1-1111112-1-111-1-12020-201100200-1-1-1-20-100011100000000
χ232222-122-12-2-2-1-2-22-2-2-111-1-1112-2-2-1222002-2221-1-1-11111-1-1-1-11-2-1-11111-20-2020-1-1002001-1-1-201000-11100000000
χ242222-122-12-2-2-1-2-22-2-2-111-1-1112-2-2-12-2-2002-2221-1-1-11111-1-1-1-11-2-1-111112020-201100-200-11120-10001-1-100000000
χ25222-12222-122-122-1-1-1222-1222-1-1-12-100222-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-102020200-1-102-1000020-1-1-1000-1-1-100000
χ26222-12222-122-122-1-1-1222-1222-1-1-12-100-2-22-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-10-20-20-200110-210000-2011100011100000
χ27222-12222-12-2-12-2-1-1-12-2-2-12-2-2-1-1-12-10022-21112-2-2-1-1-111111121-1-1-1-1110-20-20200-1-10-21000020111000-1-1-100000
χ28222-12222-12-2-12-2-1-1-12-2-2-12-2-2-1-1-12-100-2-2-21112-2-2-1-1-111111121-1-1-1-11102020-2001102-10000-20-1-1-100011100000
χ29222-12222-1-22-1-22-111222-1222-1112-10022-2-111-2-2-2-111-1-11111-2-1-1-111-1-102020200-1-10-2-10000-20-111000-11100000
χ30222-12222-1-22-1-22-111222-1222-1112-100-2-2-2-111-2-2-2-111-1-11111-2-1-1-111-1-10-20-20-200110210000201-1-10001-1-100000
χ31222-12222-1-2-2-1-2-2-1112-2-2-12-2-2-1112-1002221-1-1-222-11111-1-1-1-1-21-1-111110-20-20200-1-10210000-201-1-1000-11100000
χ32222-12222-1-2-2-1-2-2-1112-2-2-12-2-2-1112-100-2-221-1-1-222-11111-1-1-1-1-21-1-1111102020-200110-2-1000020-1110001-1-100000
χ3322-2222-2220220-2-200-22222-2-2-200-2200220200000-2002200000-22-200-2-20-2020-2002200-2000000200000-20000000
χ3422-2222-2220220-2-200-22222-2-2-200-2200-2-20200000-2002200000-22-200-2-2020-20200-2-2002000000-20000020000000
χ3522-2222-2220-2202-200-2-2-22222-200-2200220-200000-200-2-20000022-20022020-20-20022002000000-200000-20000000
χ3622-2222-2220-2202-200-2-2-22222-200-2200-2-20-200000-200-2-20000022-200220-2020200-2-200-200000020000020000000
χ3722-222-2222202-20-222-2002-2002-2-22-222000000200-222000000-20-22-2-20020-20-20220000020000-2000-20000000000
χ3822-222-2222202-20-222-2002-2002-2-22-2-2-2000000200-222000000-20-22-2-200-202020-2-200000-20000200020000000000
χ3922-222-2222-20220-2-2-2-2002-2002222-222000000-200-2-2-200000020-222200-2020-202200000-200002000-20000000000
χ4022-222-2222-20220-2-2-2-2002-2002222-2-2-2000000-200-2-2-200000020-22220020-2020-2-20000020000-200020000000000
χ4122-22-1-22-1220-1-20-2221−i3i3-11−i3i32-2-2-1-222000000-1−i3i31-1-1−i3i3−i3−i3i3i3101-111−i3i320-20-20-1-100000-1−i3i30010001−i3i300000000
χ4222-22-1-22-1220-1-20-2221−i3i3-11−i3i32-2-2-1-2-2-2000000-1−i3i31-1-1−i3i3−i3−i3i3i3101-111−i3i3-20202011000001i3−i300-1000-1i3−i300000000
χ4322-22-1-22-1220-1-20-2221i3−i3-11i3−i32-2-2-1-222000000-1i3−i31-1-1i3−i3i3i3−i3−i3101-111i3−i320-20-20-1-100000-1i3−i30010001i3−i300000000
χ4422-22-1-22-1220-1-20-2221i3−i3-11i3−i32-2-2-1-2-2-2000000-1i3−i31-1-1i3−i3i3i3−i3−i3101-111i3−i3-20202011000001−i3i300-1000-1−i3i300000000
χ4522-22-1-22-12-20-120-2-2-21−i3i3-11−i3i3222-1-2220000001i3−i3111−i3i3i3i3−i3−i3-101-1-1-1−i3i3-2020-20-1-1000001i3−i300-10001−i3i300000000
χ4622-22-1-22-12-20-120-2-2-21−i3i3-11−i3i3222-1-2-2-20000001i3−i3111−i3i3i3i3−i3−i3-101-1-1-1−i3i320-20201100000-1−i3i3001000-1i3−i300000000
χ4722-22-1-22-12-20-120-2-2-21i3−i3-11i3−i3222-1-2220000001−i3i3111i3−i3−i3−i3i3i3-101-1-1-1i3−i3-2020-20-1-1000001−i3i300-10001i3−i300000000
χ4822-22-1-22-12-20-120-2-2-21i3−i3-11i3−i3222-1-2-2-20000001−i3i3111i3−i3−i3−i3i3i3-101-1-1-1i3−i320-20201100000-1i3−i3001000-1−i3i300000000
χ4922-2-122-22-102-10-21−i3i3-222-12-2-21−i3i3-2-100220-1−i3i30001−i3i3-1-1−i3i3−i3i301-11−i3i3110-2020-200-1-1001000000-1−i3i30001−i3i300000
χ5022-2-122-22-102-10-21−i3i3-222-12-2-21−i3i3-2-100-2-20-1−i3i30001−i3i3-1-1−i3i3−i3i301-11−i3i311020-202001100-10000001i3−i3000-1i3−i300000
χ5122-2-122-22-102-10-21i3−i3-222-12-2-21i3−i3-2-100220-1i3−i30001i3−i3-1-1i3−i3i3−i301-11i3−i3110-2020-200-1-1001000000-1i3−i30001i3−i300000
χ5222-2-122-22-102-10-21i3−i3-222-12-2-21i3−i3-2-100-2-20-1i3−i30001i3−i3-1-1i3−i3i3−i301-11i3−i311020-202001100-10000001−i3i3000-1−i3i300000
χ5322-2-122-22-10-2-1021−i3i3-2-2-2-12221−i3i3-2-1002201i3−i30001−i3i311i3−i3i3−i30-1-11−i3i3-1-1020-20-200-1-100-10000001i3−i30001−i3i300000
χ5422-2-122-22-10-2-1021−i3i3-2-2-2-12221−i3i3-2-100-2-201i3−i30001−i3i311i3−i3i3−i30-1-11−i3i3-1-10-202020011001000000-1−i3i3000-1i3−i300000
χ5522-2-122-22-10-2-1021i3−i3-2-2-2-12221i3−i3-2-1002201−i3i30001i3−i311−i3i3−i3i30-1-11i3−i3-1-1020-20-200-1-100-10000001−i3i30001i3−i300000
χ5622-2-122-22-10-2-1021i3−i3-2-2-2-12221i3−i3-2-100-2-201−i3i30001i3−i311−i3i3−i3i30-1-11i3−i3-1-10-202020011001000000-1i3−i3000-1−i3i300000
χ5744444-4-444004004004004-400-400-4-40000000000040000000000-4-40000000000000000000000000000000000000
χ584444-2-4-4-2400-200400-2−2i32i3-222i3−2i3-4002-400000000000-200−2i32i300000022002i3−2i3000000000000000000000000000000000
χ594444-2-4-4-2400-200400-22i3−2i3-22−2i32i3-4002-400000000000-2002i3−2i30000002200−2i32i3000000000000000000000000000000000
χ60444-24-4-44-200-200-2−2i32i3400-2-40022i3−2i3-4200000000000-2−2i32i300000000222i3−2i300000000000000000000000000000000000
χ61444-24-4-44-200-200-22i3−2i3400-2-4002−2i32i3-4200000000000-22i3−2i30000000022−2i32i300000000000000000000000000000000000
χ62444-2-244-2-244144-2-2-2-2-2-21-2-2-2-2-2-2-2-200004-2-2-2-2-2-2111111111-2-2111111000000000000000000000000000000000
χ63444-2-244-2-24-414-4-2-2-2-2221-222-2-2-2-2-20000-4222-222111-1-1-1-1-1-1-221111-1-1000000000000000000000000000000000
χ64444-2-244-2-2-441-44-222-2-2-21-2-2-2-222-2-20000-4-2222221-1-111-1-1-1-12-211-1-111000000000000000000000000000000000
χ65444-2-244-2-2-4-41-4-4-222-2221-222-222-2-2000042-2-22-2-21-1-1-1-111112211-1-1-1-1000000000000000000000000000000000
χ66444-2-2-4-4-2-200100-2−2i32i3-2−2i32i3122i3−2i322i3−2i322000000000001i3−i3i3−i3-333-300-1-1−i3i3−i3i3000000000000000000000000000000000
χ67444-2-2-4-4-2-200100-2−2i32i3-22i3−2i312−2i32i322i3−2i322000000000001i3−i3−i3i33-3-3300-1-1−i3i3i3−i3000000000000000000000000000000000
χ68444-2-2-4-4-2-200100-22i3−2i3-2−2i32i3122i3−2i32−2i32i322000000000001−i3i3i3−i33-3-3300-1-1i3−i3−i3i3000000000000000000000000000000000
χ69444-2-2-4-4-2-200100-22i3−2i3-22i3−2i312−2i32i32−2i32i322000000000001−i3i3−i3i3-333-300-1-1i3−i3i3−i3000000000000000000000000000000000
χ7044-44-24-4-2404-20-4-4002-2-2-2-222-4002400000400000200-2-200000-4-220022000000000000000000000000000000000
χ7144-44-24-4-240-4-204-400222-2-2-2-2-4002400000-40000020022000004-2200-2-2000000000000000000000000000000000
χ7244-4-24-444-240-2-402-2-2-400-2-400-22242000000004002-2-2000000-402-22200000000000000000000000000000000000
χ7344-4-24-444-2-40-240222-400-2-400-2-2-24200000000-400222000000402-2-2-200000000000000000000000000000000000
χ7444-4-2-24-4-2-20410-42−2i32i32-2-21-2222−2i32i32-200000-2−2i32i3000-1i3−i311i3−i3i3−i3021-1i3−i3-1-1000000000000000000000000000000000
χ7544-4-2-24-4-2-20410-422i3−2i32-2-21-22222i3−2i32-200000-22i3−2i3000-1−i3i311−i3i3−i3i3021-1−i3i3-1-1000000000000000000000000000000000
χ7644-4-2-24-4-2-20-41042−2i32i32221-2-2-22−2i32i32-20000022i3−2i3000-1i3−i3-1-1−i3i3−i3i30-21-1i3−i311000000000000000000000000000000000
χ7744-4-2-24-4-2-20-410422i3−2i32221-2-2-222i3−2i32-2000002−2i32i3000-1−i3i3-1-1i3−i3i3−i30-21-1−i3i311000000000000000000000000000000000
χ7844-4-2-2-44-2-2401-402-2-22−2i32i312−2i32i3-222-2200000000-2−2i32i3-111i3−i3i3i3−i3−i320-11-1-1i3−i3000000000000000000000000000000000
χ7944-4-2-2-44-2-2401-402-2-222i3−2i3122i3−2i3-222-2200000000-22i3−2i3-111−i3i3−i3−i3i3i320-11-1-1−i3i3000000000000000000000000000000000
χ8044-4-2-2-44-2-2-401402222−2i32i312−2i32i3-2-2-2-220000000022i3−2i3-1-1-1i3−i3−i3−i3i3i3-20-1111i3−i3000000000000000000000000000000000
χ8144-4-2-2-44-2-2-4014022222i3−2i3122i3−2i3-2-2-2-22000000002−2i32i3-1-1-1−i3i3i3i3−i3−i3-20-1111−i3i3000000000000000000000000000000000
χ824-404400-4-400400000000-40000000022−22−2i22i200000000000000000000000000000022−22−2i22i20000000000000000002i−2i000
χ834-404400-4-400400000000-40000000022−222i2−2i200000000000000000000000000000022−222i2−2i2000000000000000000−2i2i000
χ844-404400-4-400400000000-400000000−2222−2i22i2000000000000000000000000000000−2222−2i22i2000000000000000000−2i2i000
χ854-404400-4-400400000000-400000000−22222i2−2i2000000000000000000000000000000−22222i2−2i20000000000000000002i−2i000
χ868-808-4004-800-40000000040000000042−4200000000000000000000000000000000−22220000000000000000000000000
χ878-808-4004-800-400000000400000000−42420000000000000000000000000000000022−220000000000000000000000000
χ888-80-4800-8400-40000000040000000000−4i24i2000000000000000000000000000000002i2−2i200000000000000000000000
χ898-80-4800-8400-400000000400000000004i2−4i200000000000000000000000000000000−2i22i200000000000000000000000
χ9016-160-8-8008800400000000-4000000000000000000000000000000000000000000000000000000000000000000000

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