Finite Group Databasebeta

← Group #11886701

Character table — Group #11886701

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222224444444444444444444488888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12233446622344666666612121212121212122666666666666666121212121212121222448888242424244466881212121212122424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-111-1-111-1-11-11-11-1111-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-11-11-11-1-1-1111-1-1-1111-1-1-1-1
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
χ51111111111-111-11111-1-111111-1-111-11-1-1-1-1-1111-1-1-1-1-1-11-11111-1-1111111-1-111-1-1-1111-1-11-1-11111-1-1-1-1-11-11-1
χ61111111111-111-11111-1-111111-1-111-11-1-1-1-1-1111-1-1-1-1-1-11-11111-1-11-11-111111111-1-11-1-111-1-1-1-1-11-1-1111-11-11
χ71111111111-111-11111-1-111111-1-111-11-1-1-1-1-1111-1-1-1-1-1-11-11111-1-1-11-11-1-1-1-1-1-1-1-111-111-1-111111-111-1-1-1-11-11
χ81111111111-111-11111-1-111111-1-111-11-1-1-1-1-1111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-1-1111-1-1-111-111-1-1-1-1111111-11-1
χ9111111111-111-1111-1-111111-1-11111-1-11-1-1-1-11-1-111-1-1-1-1-1111-1-1111111-1-111-1-1111-111-1-11111-1-1-1-1-11-1-11-1-11
χ10111111111-111-1111-1-111111-1-11111-1-11-1-1-1-11-1-111-1-1-1-1-1111-1-1111-11-1-1-1-1-1-1-1-1-1111-1-11111-111-1-1-1-111-111-1
χ11111111111-111-1111-1-111111-1-11111-1-11-1-1-1-11-1-111-1-1-1-1-1111-1-111-11-1111111111-1-1-111-1-1-1-11-1-11111-1-1-111-1
χ12111111111-111-1111-1-111111-1-11111-1-11-1-1-1-11-1-111-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-11-1-111-1-1-1-111111-1111-1-11
χ13111111111-1-11-1-111-1-1-1-1111-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-111-11111-1-1
χ14111111111-1-11-1-111-1-1-1-1111-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-11-11-1-1-111-1-111-111-11-11-1-1-111-1111-1-1-1-111
χ15111111111-1-11-1-111-1-1-1-1111-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-1-11-1111-1-111-1-11-1-11-11-1111-1-11-1-1-111-1-111
χ16111111111-1-11-1-111-1-1-1-1111-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1111-1-11-1-111-1-1
χ172222-1222-122-1222-122-1-1-12-122-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-120202200-1-10020-1020-1-1-1000-1-1-10000000
χ182222-1222-122-1222-122-1-1-12-122-1-12-12-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-20-20-2-2001100-2010-201110001110000000
χ192222-1222-12-2-12-22-12211-12-122112-1-2-1-2-2-211-1-1-1111111-1-2-1-1-1-11120202200-1-100-20-10-20-111000-1110000000
χ202222-1222-12-2-12-22-12211-12-122112-1-2-1-2-2-211-1-1-1111111-1-2-1-1-1-111-20-20-2-20011002010201-1-10001-1-10000000
χ212222-1222-1-22-1-222-1-2-2-1-1-12-1-2-2-1-12-1-212-2-211-111-1-1111112-1-111-1-12020-2-200110020-10-20-1-1-10001110000000
χ222222-1222-1-22-1-222-1-2-2-1-1-12-1-2-2-1-12-1-212-2-211-111-1-1111112-1-111-1-1-20-202200-1-100-201020111000-1-1-10000000
χ232222-1222-1-2-2-1-2-22-1-2-211-12-1-2-2112-121-222-1-1-11111-1-1-1-11-2-1-111112020-2-2001100-20-1020-1110001-1-10000000
χ242222-1222-1-2-2-1-2-22-1-2-211-12-1-2-2112-121-222-1-1-11111-1-1-1-11-2-1-11111-20-202200-1-1002010-201-1-1000-1110000000
χ25222-1222-1222-122-12-1-122-1-12-1-122-1222-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-10202002200-1-1020-102000-1-1-1000-1-1-10000
χ26222-1222-1222-122-12-1-122-1-12-1-122-1222-1-1-122-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-10-20-200-2-200110-2010-20001110001110000
χ27222-1222-122-2-12-2-12-1-1-2-2-1-12-1-1-2-2-12-22111-2-2-1-1-111111121-1-1-1-111020200-2-20011020-10-2000-1-1-10001110000
χ28222-1222-122-2-12-2-12-1-1-2-2-1-12-1-1-2-2-12-22111-2-2-1-1-111111121-1-1-1-1110-20-2002200-1-10-20102000111000-1-1-10000
χ29222-1222-12-22-1-22-121122-1-121122-12-2-2-111-2-2-111-1-11111-2-1-1-111-1-10202002200-1-10-20-10-2000-111000-1110000
χ30222-1222-12-22-1-22-121122-1-121122-12-2-2-111-2-2-111-1-11111-2-1-1-111-1-10-20-200-2-200110201020001-1-10001-1-10000
χ31222-1222-12-2-2-1-2-2-1211-2-2-1-1211-2-2-122-21-1-122-11111-1-1-1-1-21-1-11111020200-2-200110-20-102000-1110001-1-10000
χ32222-1222-12-2-2-1-2-2-1211-2-2-1-1211-2-2-122-21-1-122-11111-1-1-1-1-21-1-111110-20-2002200-1-102010-20001-1-1000-1110000
χ3322-2222-2220220-2-2-200222-2200-2-22-20020000-2002200000-22-200-2-2020-2002-200-2-2000200000-2000002000000
χ3422-2222-2220220-2-2-200222-2200-2-22-20020000-2002200000-22-200-2-20-20200-220022000-200000200000-2000000
χ3522-2222-2220-2202-2-200-2-22-2200222-200-20000-200-2-20000022-20022020-200-220022000200000-200000-2000000
χ3622-2222-2220-2202-2-200-2-22-2200222-200-20000-200-2-20000022-200220-202002-200-2-2000-2000002000002000000
χ3722-222-2222202-20-2-2220022-2-2-200-220200000-222000000-20-22-2-20020-202-200-2-200002000-2000002000000000
χ3822-222-2222202-20-2-2220022-2-2-200-220200000-222000000-20-22-2-200-2020-2200220000-2000200000-2000000000
χ3922-222-2222-20220-2-2-2-20022-22200-220-200000-2-2-200000020-22220020-20-22002200002000-200000-2000000000
χ4022-222-2222-20220-2-2-2-20022-22200-220-200000-2-2-200000020-222200-20202-200-2-20000-20002000002000000000
χ4122-22-1-222-120-1-20-2122−i3i3-121-2-2−i3i3-2-10-1000−i3i31-1-1−i3i3−i3−i3i3i3101-111−i3i320-202-200110000-10001−i3i3000-1−i3i30000000
χ4222-22-1-222-120-1-20-2122−i3i3-121-2-2−i3i3-2-10-1000−i3i31-1-1−i3i3−i3−i3i3i3101-111−i3i3-2020-2200-1-100001000-1i3−i30001i3−i30000000
χ4322-22-1-222-120-1-20-2122i3−i3-121-2-2i3−i3-2-10-1000i3−i31-1-1i3−i3i3i3−i3−i3101-111i3−i320-202-200110000-10001i3−i3000-1i3−i30000000
χ4422-22-1-222-120-1-20-2122i3−i3-121-2-2i3−i3-2-10-1000i3−i31-1-1i3−i3i3i3−i3−i3101-111i3−i3-2020-2200-1-100001000-1−i3i30001−i3i30000000
χ4522-22-1-222-1-20-120-21-2-2−i3i3-12122−i3i3-2-101000i3−i3111−i3i3i3i3−i3−i3-101-1-1-1−i3i320-20-2200-1-10000-10001−i3i30001i3−i30000000
χ4622-22-1-222-1-20-120-21-2-2−i3i3-12122−i3i3-2-101000i3−i3111−i3i3i3i3−i3−i3-101-1-1-1−i3i3-20202-2001100001000-1i3−i3000-1−i3i30000000
χ4722-22-1-222-1-20-120-21-2-2i3−i3-12122i3−i3-2-101000−i3i3111i3−i3−i3−i3i3i3-101-1-1-1i3−i320-20-2200-1-10000-10001i3−i30001−i3i30000000
χ4822-22-1-222-1-20-120-21-2-2i3−i3-12122i3−i3-2-101000−i3i3111i3−i3−i3−i3i3i3-101-1-1-1i3−i3-20202-2001100001000-1−i3i3000-1i3−i30000000
χ4922-2-122-2-1202-10-21-2−i3i322-112−i3i3-2-2-1-200-1−i3i3001−i3i3-1-1−i3i3−i3i301-11−i3i311020-2002-20011000-1000001−i3i3000-1−i3i30000
χ5022-2-122-2-1202-10-21-2−i3i322-112−i3i3-2-2-1-200-1−i3i3001−i3i3-1-1−i3i3−i3i301-11−i3i3110-20200-2200-1-1000100000-1i3−i30001i3−i30000
χ5122-2-122-2-1202-10-21-2i3−i322-112i3−i3-2-2-1-200-1i3−i3001i3−i3-1-1i3−i3i3−i301-11i3−i311020-2002-20011000-1000001i3−i3000-1i3−i30000
χ5222-2-122-2-1202-10-21-2i3−i322-112i3−i3-2-2-1-200-1i3−i3001i3−i3-1-1i3−i3i3−i301-11i3−i3110-20200-2200-1-1000100000-1−i3i30001−i3i30000
χ5322-2-122-2-120-2-1021-2−i3i3-2-2-112−i3i322-1-2001i3−i3001−i3i311i3−i3i3−i30-1-11−i3i3-1-1020-200-2200-1-1000-1000001−i3i30001i3−i30000
χ5422-2-122-2-120-2-1021-2−i3i3-2-2-112−i3i322-1-2001i3−i3001−i3i311i3−i3i3−i30-1-11−i3i3-1-10-202002-20011000100000-1i3−i3000-1−i3i30000
χ5522-2-122-2-120-2-1021-2i3−i3-2-2-112i3−i322-1-2001−i3i3001i3−i311−i3i3−i3i30-1-11i3−i3-1-1020-200-2200-1-1000-1000001i3−i30001−i3i30000
χ5622-2-122-2-120-2-1021-2i3−i3-2-2-112i3−i322-1-2001−i3i3001i3−i311−i3i3−i3i30-1-11i3−i3-1-10-202002-20011000100000-1−i3i3000-1i3−i30000
χ5744444-4-444004004400004-4-40000-4-4000000040000000000-4-400000000000000000000000000000000000000
χ584444-2-4-44-200-2004-200−2i32i3-2-42002i3−2i3-420000000-200−2i32i300000022002i3−2i30000000000000000000000000000000000
χ594444-2-4-44-200-2004-2002i3−2i3-2-4200−2i32i3-420000000-2002i3−2i30000002200−2i32i30000000000000000000000000000000000
χ60444-24-4-4-2400-200-24−2i32i300-22-42i3−2i3002-40000000-2−2i32i300000000222i3−2i3000000000000000000000000000000000000
χ61444-24-4-4-2400-200-242i3−2i300-22-4−2i32i3002-40000000-22i3−2i30000000022−2i32i3000000000000000000000000000000000000
χ62444-2-244-2-244144-2-2-2-2-2-21-2-2-2-2-2-2-2-24-2-2-2-2-2-2111111111-2-21111110000000000000000000000000000000000
χ63444-2-244-2-24-414-4-2-2-2-2221-2-2-2-222-2-2-4-222222111-1-1-1-1-1-1-221111-1-10000000000000000000000000000000000
χ64444-2-244-2-2-441-44-2-222-2-21-2-222-2-2-2-2-42-222221-1-111-1-1-1-12-211-1-1110000000000000000000000000000000000
χ65444-2-244-2-2-4-41-4-4-2-222221-2-22222-2-2422-2-2-2-21-1-1-1-111112211-1-1-1-10000000000000000000000000000000000
χ66444-2-2-4-4-2-200100-2-2−2i32i3−2i32i31222i3−2i32i3−2i32200000001i3−i3i3−i3-333-300-1-1−i3i3−i3i30000000000000000000000000000000000
χ67444-2-2-4-4-2-200100-2-2−2i32i32i3−2i31222i3−2i3−2i32i32200000001i3−i3−i3i33-3-3300-1-1−i3i3i3−i30000000000000000000000000000000000
χ68444-2-2-4-4-2-200100-2-22i3−2i3−2i32i3122−2i32i32i3−2i32200000001−i3i3i3−i33-3-3300-1-1i3−i3−i3i30000000000000000000000000000000000
χ69444-2-2-4-4-2-200100-2-22i3−2i32i3−2i3122−2i32i3−2i32i32200000001−i3i3−i3i3-333-300-1-1i3−i3i3−i30000000000000000000000000000000000
χ7044-44-24-44-204-20-4-4200-2-2-2-4-20022420040000200-2-200000-4-2200220000000000000000000000000000000000
χ7144-44-24-44-20-4-204-420022-2-4-200-2-24200-4000020022000004-2200-2-20000000000000000000000000000000000
χ7244-4-24-44-2440-2-402-4-2-200-2-2-422002404000002-2-2000000-402-222000000000000000000000000000000000000
χ7344-4-24-44-24-40-2402-42200-2-2-4-2-200240-400000222000000402-2-2-2000000000000000000000000000000000000
χ7444-4-2-24-4-2-20410-422−2i32i3-2-212-2−2i32i322-2200-2−2i32i300-1i3−i311i3−i3i3−i3021-1i3−i3-1-10000000000000000000000000000000000
χ7544-4-2-24-4-2-20410-4222i3−2i3-2-212-22i3−2i322-2200-22i3−2i300-1−i3i311−i3i3−i3i3021-1−i3i3-1-10000000000000000000000000000000000
χ7644-4-2-24-4-2-20-410422−2i32i32212-2−2i32i3-2-2-220022i3−2i300-1i3−i3-1-1−i3i3−i3i30-21-1i3−i3110000000000000000000000000000000000
χ7744-4-2-24-4-2-20-4104222i3−2i32212-22i3−2i3-2-2-22002−2i32i300-1−i3i3-1-1i3−i3i3−i30-21-1−i3i3110000000000000000000000000000000000
χ7844-4-2-2-44-2-2401-4022-2-2−2i32i31-2222−2i32i32-20-2000−2i32i3-111i3−i3i3i3−i3−i320-11-1-1i3−i30000000000000000000000000000000000
χ7944-4-2-2-44-2-2401-4022-2-22i3−2i31-22222i3−2i32-20-20002i3−2i3-111−i3i3−i3−i3i3i320-11-1-1−i3i30000000000000000000000000000000000
χ8044-4-2-2-44-2-2-401402222−2i32i31-22-2-2−2i32i32-2020002i3−2i3-1-1-1i3−i3−i3−i3i3i3-20-1111i3−i30000000000000000000000000000000000
χ8144-4-2-2-44-2-2-4014022222i3−2i31-22-2-22i3−2i32-202000−2i32i3-1-1-1−i3i3i3i3−i3−i3-20-1111−i3i30000000000000000000000000000000000
χ828-808800-8-800800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ838-808-400-8400-4000000004000000000000000000000000000000000000000026−26000000000000000000000000
χ848-808-400-8400-40000000040000000000000000000000000000000000000000−2626000000000000000000000000
χ858-80-48004-800-400000000400000000000000000000000000000000000000000026−260000000000000000000000
χ868-80-48004-800-4000000004000000000000000000000000000000000000000000−26260000000000000000000000
χ8716-160-8-8008800400000000-4000000000000000000000000000000000000000000000000000000000000000000

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