Finite Group Databasebeta

← Group #11886685

Character table — Group #11886685

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222224444444444444444444488888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12233446622344666666612121212121212124666666612121212121212121212121212121212224488882424242424666688121212122424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-111-1-111-1-11-1-11111-11-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-111-1-1-1-11-1111-1-1-1111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-111-11111-1-111-1-111111-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-111111-1-1-1-1-11-11-1
χ61111111111-111-11111-1-111-1-111111-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-11-11-111111111-1-1-11-1-1-111-1-1-11-1-1111-11-11
χ71111111111-111-11111-1-111-1-111111-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111-1111-1-1111-111-1-1-1-11-11
χ81111111111-111-11111-1-111-1-111111-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1111111-11-1
χ9111111111-111-111-1-111111111-1-111-11-11-1-111-1-1-11-1-111-1-111-1-1-1-11111-1-111-1-1111-11111-1-111-1-1-1-1-11-1-11-1-11
χ10111111111-111-111-1-111111111-1-111-11-11-1-111-1-1-11-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1111-111-111-1-1-1-111-111-1
χ11111111111-111-111-1-111111111-1-111-11-11-1-111-1-1-11-1-111-1-111-1-1-1-1-11-1111111111-1-11-1-1-11-1-11-1-11111-1-1-111-1
χ12111111111-111-111-1-111111111-1-111-11-11-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-11-1-1-1-111-1-111111-1111-1-11
χ13111111111-1-11-1-11-1-11-1-111-1-11-1-1111-1-11-1-1-1-1-111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-11111-1-1
χ14111111111-1-11-1-11-1-11-1-111-1-11-1-1111-1-11-1-1-1-1-111-11111-1-1-1-111111-11-1-1-111-1-111-11-11-1-11-11-111-1111-1-1-1-111
χ15111111111-1-11-1-11-1-11-1-111-1-11-1-1111-1-11-1-1-1-1-111-11111-1-1-1-11111-11-1111-1-111-1-11-11-111-11-11-1-11-1-1-111-1-111
χ16111111111-1-11-1-11-1-11-1-111-1-11-1-1111-1-11-1-1-1-1-111-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1111-1-11-1-111-1-1
χ172222-122-1222-122222-1-1-1-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-120202200-1-100200-1-1-120-1000-1-1-10000000
χ182222-122-1222-122222-1-1-1-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-20-20-2-2001100-200111-2010001110000000
χ192222-122-122-2-12-2222-111-1-111222-12-2-2-1-1-1-111-111-2-2-2-1-1-1-111111120202200-1-100-200-111-20-1000-1110000000
χ202222-122-122-2-12-2222-111-1-111222-12-2-2-1-1-1-111-111-2-2-2-1-1-1-1111111-20-20-2-20011002001-1-12010001-1-10000000
χ212222-122-12-22-1-222-2-2-1-1-1-1-1-1-12-2-2-12-221-111-1-11112-2-2-1-111-1-111112020-2-2001100200-1-1-1-20-10001110000000
χ222222-122-12-22-1-222-2-2-1-1-1-1-1-1-12-2-2-12-221-111-1-11112-2-2-1-111-1-11111-20-202200-1-100-200111201000-1-1-10000000
χ232222-122-12-2-2-1-2-22-2-2-111-1-1112-2-2-122-21-111111-1-1-222-1-11111-1-1-1-12020-2-2001100-200-11120-10001-1-10000000
χ242222-122-12-2-2-1-2-22-2-2-111-1-1112-2-2-122-21-111111-1-1-222-1-11111-1-1-1-1-20-202200-1-1002001-1-1-201000-1110000000
χ25222-12222-122-122-1-1-1222-1222-1-1-12-12-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-10202002200-1-102-1000020-1-1-1000-1-1-10000
χ26222-12222-122-122-1-1-1222-1222-1-1-12-12-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-200110-210000-201110001110000
χ27222-12222-12-2-12-2-1-1-12-2-2-12-2-2-1-1-12-1-212-1-1-1112-2-2111-1-1-1-1111111020200-2-2001102-10000-20-1-1-10001110000
χ28222-12222-12-2-12-2-1-1-12-2-2-12-2-2-1-1-12-1-212-1-1-1112-2-2111-1-1-1-11111110-20-2002200-1-10-21000020111000-1-1-10000
χ29222-12222-1-22-1-22-111222-1222-1112-1-2-1-2-111-1-1-2-2-2-111-1-111-1-111110202002200-1-10-2-10000-20-111000-1110000
χ30222-12222-1-22-1-22-111222-1222-1112-1-2-1-2-111-1-1-2-2-2-111-1-111-1-111110-20-200-2-200110210000201-1-10001-1-10000
χ31222-12222-1-2-2-1-2-2-1112-2-2-12-2-2-1112-121-2-11111-2221-1-1-1-11111-1-1-1-1020200-2-200110-2-1000020-1110001-1-10000
χ32222-12222-1-2-2-1-2-2-1112-2-2-12-2-2-1112-121-2-11111-2221-1-1-1-11111-1-1-1-10-20-2002200-1-10210000-201-1-1000-1110000
χ3322-2222-2220220-2-200-22222-2-2-200-22020-20022000-2002-200-2-20000020-2002-20022002000000-200000-2000000
χ3422-2222-2220220-2-200-22222-2-2-200-22020-20022000-2002-200-2-200000-20200-2200-2-200-20000002000002000000
χ3522-2222-2220-2202-200-2-2-22222-200-220-20-200-2-20002002-200220000020-200-2200-2-2002000000-2000002000000
χ3622-2222-2220-2202-200-2-2-22222-200-220-20-200-2-20002002-2002200000-202002-2002200-2000000200000-2000000
χ3722-222-2222202-20-222-2002-2002-2-22-2002-22200-200000-22-2-200000020-202-200-2-20000020000-20002000000000
χ3822-222-2222202-20-222-2002-2002-2-22-2002-22200-200000-22-2-2000000-2020-22002200000-200002000-2000000000
χ3922-222-2222-20220-2-2-2-2002-2002222-200-2-2-2-200200000-222200000020-20-2200220000020000-2000-2000000000
χ4022-222-2222-20220-2-2-2-2002-2002222-200-2-2-2-200200000-2222000000-20202-200-2-200000-2000020002000000000
χ4122-22-1-22-1220-1-20-2221−i3i3-11−i3i32-2-2-1-200-11-1-1−i3i31−i3i30001-111−i3i3−i3−i3i3i320-202-2001100000-1−i3i3001000-1−i3i30000000
χ4222-22-1-22-1220-1-20-2221−i3i3-11−i3i32-2-2-1-200-11-1-1−i3i31−i3i30001-111−i3i3−i3−i3i3i3-2020-2200-1-1000001i3−i300-10001i3−i30000000
χ4322-22-1-22-1220-1-20-2221i3−i3-11i3−i32-2-2-1-200-11-1-1i3−i31i3−i30001-111i3−i3i3i3−i3−i320-202-2001100000-1i3−i3001000-1i3−i30000000
χ4422-22-1-22-1220-1-20-2221i3−i3-11i3−i32-2-2-1-200-11-1-1i3−i31i3−i30001-111i3−i3i3i3−i3−i3-2020-2200-1-1000001−i3i300-10001−i3i30000000
χ4522-22-1-22-12-20-120-2-2-21−i3i3-11−i3i3222-1-2001111−i3i3-1i3−i30001-1-1-1−i3i3i3i3−i3−i320-20-2200-1-100000-1−i3i30010001i3−i30000000
χ4622-22-1-22-12-20-120-2-2-21−i3i3-11−i3i3222-1-2001111−i3i3-1i3−i30001-1-1-1−i3i3i3i3−i3−i3-20202-20011000001i3−i300-1000-1−i3i30000000
χ4722-22-1-22-12-20-120-2-2-21i3−i3-11i3−i3222-1-2001111i3−i3-1−i3i30001-1-1-1i3−i3−i3−i3i3i320-20-2200-1-100000-1i3−i30010001−i3i30000000
χ4822-22-1-22-12-20-120-2-2-21i3−i3-11i3−i3222-1-2001111i3−i3-1−i3i30001-1-1-1i3−i3−i3−i3i3i3-20202-20011000001−i3i300-1000-1i3−i30000000
χ4922-2-122-22-102-10-21−i3i3-222-12-2-21−i3i3-2-10-101−i3i3-1-10001−i3i3-11−i3i311−i3i3−i3i3020-2002-200-1-100-10000001−i3i30001−i3i30000
χ5022-2-122-22-102-10-21−i3i3-222-12-2-21−i3i3-2-10-101−i3i3-1-10001−i3i3-11−i3i311−i3i3−i3i30-20200-220011001000000-1i3−i3000-1i3−i30000
χ5122-2-122-22-102-10-21i3−i3-222-12-2-21i3−i3-2-10-101i3−i3-1-10001i3−i3-11i3−i311i3−i3i3−i3020-2002-200-1-100-10000001i3−i30001i3−i30000
χ5222-2-122-22-102-10-21i3−i3-222-12-2-21i3−i3-2-10-101i3−i3-1-10001i3−i3-11i3−i311i3−i3i3−i30-20200-220011001000000-1−i3i3000-1−i3i30000
χ5322-2-122-22-10-2-1021−i3i3-2-2-2-12221−i3i3-2-10101−i3i311000-1i3−i3-11−i3i3-1-1i3−i3i3−i3020-200-22001100-10000001−i3i3000-1i3−i30000
χ5422-2-122-22-10-2-1021−i3i3-2-2-2-12221−i3i3-2-10101−i3i311000-1i3−i3-11−i3i3-1-1i3−i3i3−i30-202002-200-1-1001000000-1i3−i30001−i3i30000
χ5522-2-122-22-10-2-1021i3−i3-2-2-2-12221i3−i3-2-10101i3−i311000-1−i3i3-11i3−i3-1-1−i3i3−i3i3020-200-22001100-10000001i3−i3000-1−i3i30000
χ5622-2-122-22-10-2-1021i3−i3-2-2-2-12221i3−i3-2-10101i3−i311000-1−i3i3-11i3−i3-1-1−i3i3−i3i30-202002-200-1-1001000000-1−i3i30001i3−i30000
χ5744444-4-444004004004004-400-400-4-400040000000000-4-4000000000000000000000000000000000000000000
χ584444-2-4-4-2400-200400-2−2i32i3-222i3−2i3-4002-4000-200−2i32i300000022002i3−2i300000000000000000000000000000000000000
χ594444-2-4-4-2400-200400-22i3−2i3-22−2i32i3-4002-4000-2002i3−2i30000002200−2i32i300000000000000000000000000000000000000
χ60444-24-4-44-200-200-2−2i32i3400-2-40022i3−2i3-42000-2−2i32i300000000222i3−2i30000000000000000000000000000000000000000
χ61444-24-4-44-200-200-22i3−2i3400-2-4002−2i32i3-42000-22i3−2i30000000022−2i32i30000000000000000000000000000000000000000
χ62444-2-244-2-244144-2-2-2-2-2-21-2-2-2-2-2-2-2-24-2-211111-2-2-2-2-2-211111111110000000000000000000000000000000000
χ63444-2-244-2-24-414-4-2-2-2-2221-222-2-2-2-2-2-42-2111-1-1-2222221111-1-1-1-1-1-10000000000000000000000000000000000
χ64444-2-244-2-2-441-44-222-2-2-21-2-2-2-222-2-2-4-221-1-111222-22211-1-111-1-1-1-10000000000000000000000000000000000
χ65444-2-244-2-2-4-41-4-4-222-2221-222-222-2-24221-1-1-1-12-2-22-2-211-1-1-1-111110000000000000000000000000000000000
χ66444-2-2-4-4-2-200100-2−2i32i3-2−2i32i3122i3−2i322i3−2i3220001i3−i3i3−i3000000-1-1−i3i3−i3i3-333-30000000000000000000000000000000000
χ67444-2-2-4-4-2-200100-2−2i32i3-22i3−2i312−2i32i322i3−2i3220001i3−i3−i3i3000000-1-1−i3i3i3−i33-3-330000000000000000000000000000000000
χ68444-2-2-4-4-2-200100-22i3−2i3-2−2i32i3122i3−2i32−2i32i3220001−i3i3i3−i3000000-1-1i3−i3−i3i33-3-330000000000000000000000000000000000
χ69444-2-2-4-4-2-200100-22i3−2i3-22i3−2i312−2i32i32−2i32i3220001−i3i3−i3i3000000-1-1i3−i3i3−i3-333-30000000000000000000000000000000000
χ7044-44-24-4-2404-20-4-4002-2-2-2-222-40024040200-2-2000-400-22002200000000000000000000000000000000000000
χ7144-44-24-4-240-4-204-400222-2-2-2-2-400240-4020022000400-2200-2-200000000000000000000000000000000000000
χ7244-4-24-444-240-2-402-2-2-400-2-400-222420042-2-200-4000002-2220000000000000000000000000000000000000000
χ7344-4-24-444-2-40-240222-400-2-400-2-2-24200-4222004000002-2-2-20000000000000000000000000000000000000000
χ7444-4-2-24-4-2-20410-42−2i32i32-2-21-2222−2i32i32-20-20-1i3−i3110002−2i32i31-1i3−i3-1-1i3−i3i3−i30000000000000000000000000000000000
χ7544-4-2-24-4-2-20410-422i3−2i32-2-21-22222i3−2i32-20-20-1−i3i31100022i3−2i31-1−i3i3-1-1−i3i3−i3i30000000000000000000000000000000000
χ7644-4-2-24-4-2-20-41042−2i32i32221-2-2-22−2i32i32-2020-1i3−i3-1-1000-22i3−2i31-1i3−i311−i3i3−i3i30000000000000000000000000000000000
χ7744-4-2-24-4-2-20-410422i3−2i32221-2-2-222i3−2i32-2020-1−i3i3-1-1000-2−2i32i31-1−i3i311i3−i3i3−i30000000000000000000000000000000000
χ7844-4-2-2-44-2-2401-402-2-22−2i32i312−2i32i3-222-2200-2-111i3−i32−2i32i3000-11-1-1i3−i3i3i3−i3−i30000000000000000000000000000000000
χ7944-4-2-2-44-2-2401-402-2-222i3−2i3122i3−2i3-222-2200-2-111−i3i322i3−2i3000-11-1-1−i3i3−i3−i3i3i30000000000000000000000000000000000
χ8044-4-2-2-44-2-2-401402222−2i32i312−2i32i3-2-2-2-22002-1-1-1i3−i3-22i3−2i3000-1111i3−i3−i3−i3i3i30000000000000000000000000000000000
χ8144-4-2-2-44-2-2-4014022222i3−2i3122i3−2i3-2-2-2-22002-1-1-1−i3i3-2−2i32i3000-1111−i3i3i3i3−i3−i30000000000000000000000000000000000
χ828-808800-8-800800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ838-808-4004-800-4000000004000000000000000000000000000000000000000026−26000000000000000000000000
χ848-808-4004-800-40000000040000000000000000000000000000000000000000−2626000000000000000000000000
χ858-80-4800-8400-40000000040000000000000000000000000000000000000000002i6−2i60000000000000000000000
χ868-80-4800-8400-4000000004000000000000000000000000000000000000000000−2i62i60000000000000000000000
χ8716-160-8-8008800400000000-4000000000000000000000000000000000000000000000000000000000000000000

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