Finite Group Databasebeta

← Group #11886621

Character table — Group #11886621

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222444444444444444488888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order12233446636666688121212122424242424661212121224242424242422224444661212666121212666888812121224242424882424224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1111-11111111111-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-11-1-1-11-1-1-1-11111111-1-1-11111-1-1-1-111-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111-1-1-1-1-1-11111111111-1111-11-1-1-1-1-1-1-1-1-1-1111-11-1-1111-1-111-1-1-1-111-1
χ61111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-11111-1-11
χ71111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-11-1-111-1-11-1-1111111-1-1-1-11
χ81111111111111111111111111-1-1-1-1-1-111111111-1-11-1-1-11-11111-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-11111-1
χ9111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-11-1111-1111111111-1-1-111-1-1-11-111-1-1-1-1-1111-11-1-1
χ10111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-11-11-11-11-11111111-1-1-1-11-1-11-11-11-1-1-111-1-1-11-111
χ11111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-11-11-11-11-1-1-1-1111-1-1-11-111-11-11-1111-1-1-1-11-1-111
χ12111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1111-1-1-1-1-1111-11-1-11111111-111-1-1
χ13111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-111111-11-1-1111-111-1-1-1-1-111-11
χ14111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111-11-1111-1-11-11111111-1-11-1
χ15111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1111-11111111-1-1-11111-11-1-1-111-11-1-1-1-111-11-11-1
χ16111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-111-11111-1-1-1111-1-11-111-1-1-11-1-111-1-11-11-11
χ172222-1222-1-12-1-1-1-122-12-1222-1-122-1-1-1-1-1-12-1-1-1-1-122202220-1-1-1-12-1-12-1-10-1-120000-1-1-1-1000000000
χ182222-1222-1-12-1-1-1-122-12-1222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2-20-2-2-2011112-1-12-1-1011-200001111000000000
χ192222-1222-1-12-1-1-1-122-12-1222-1-1-2-21111-1-12-1-1-1-1-122-2022-201111-211-2110-1-1-20000-1-111000000000
χ202222-1222-1-12-1-1-1-122-12-1222-1-1-2-21111-1-12-1-1-1-1-1-2-220-2-220-1-1-1-1-211-2110112000011-1-1000000000
χ212222-1222-1-12-1-1-1-1-2-2-12-12-2-2112-2-1-111-1-1-2111112-2202-220-1-1-1-12-1-1-2110-11-20000-1111000000000
χ222222-1222-1-12-1-1-1-1-2-2-12-12-2-2112-2-1-111-1-1-211111-22-20-22-2011112-1-1-21101-1200001-1-1-1000000000
χ232222-1222-1-12-1-1-1-1-2-2-12-12-2-211-2211-1-1-1-1-2111112-2-202-2-201111-2112-1-10-1120000-11-1-1000000000
χ242222-1222-1-12-1-1-1-1-2-2-12-12-2-211-2211-1-1-1-1-211111-2220-2220-1-1-1-1-2112-1-101-1-200001-111000000000
χ25222-1222-12-1-12-1-1-1222-12-1-1-122222222-1-1-12-1-1-1-1000200020000-1-1-1-1-1-1-1000222-10000-1-100-1-1000
χ26222-1222-12-1-12-1-1-1222-12-1-1-122222222-1-1-12-1-1-1-1000-2000-20000-1-1-1-1-1-11000-2-2-210000110011000
χ27222-1222-12-1-12-1-1-1222-12-1-1-122-2-2-2-2-2-2-1-1-12-1-1-1-1000200020000111111-10002-2-2-10000-1-10011000
χ28222-1222-12-1-12-1-1-1222-12-1-1-122-2-2-2-2-2-2-1-1-12-1-1-1-1000-2000-200001111111000-222100001100-1-1000
χ29222-1222-12-1-12-1-1-1-2-22-12-111-2-22-222-2-2-1-11-21111000200020000-1-1-1111-1000-22-2-100001100-11000
χ30222-1222-12-1-12-1-1-1-2-22-12-111-2-22-222-2-2-1-11-21111000-2000-20000-1-1-111110002-2210000-1-1001-1000
χ31222-1222-12-1-12-1-1-1-2-22-12-111-2-2-22-2-222-1-11-21111000200020000111-1-1-1-1000-2-22-1000011001-1000
χ32222-1222-12-1-12-1-1-1-2-22-12-111-2-2-22-2-222-1-11-21111000-2000-20000111-1-1-1100022-210000-1-100-11000
χ3322-2222-2222-2-2-2-222-2-222-222-2-2000000-22-2222-2-22200-2-200000000000002200000-2-200000000000
χ3422-2222-2222-2-2-2-222-2-222-222-2-2000000-22-2222-2-2-2-200220000000000000-2-2000002200000000000
χ3522-2222-2222-2-2-2-22-22-222-2-2-222000000-222-2-2-2222-200-2200000000000002-200000-2200000000000
χ3622-2222-2222-2-2-2-22-22-222-2-2-222000000-222-2-2-222-22002-20000000000000-22000002-200000000000
χ3722-222-22222-2-2-2-22002-2-2200000000002-2000000002200-2-222-2-20000002000000-20000002-200000
χ3822-222-22222-2-2-2-22002-2-2200000000002-2000000002-200-2222-2-2000000-20000002000000-2200000
χ3922-222-22222-2-2-2-22002-2-2200000000002-200000000-22002-2-2-2220000002000000-2000000-2200000
χ4022-222-22222-2-2-2-22002-2-2200000000002-200000000-2-20022-2-222000000-200000020000002-200000
χ4122-22-12-22-1-1-2111-12-212-1-2221100−i3i3−i3i31-1-2-1-1-1112200-2-200−i3i3−i3i30−i3i30−i3i30-1-10000011−i3i3000000000
χ4222-22-12-22-1-1-2111-12-212-1-2221100−i3i3−i3i31-1-2-1-1-111-2-2002200i3−i3i3−i30−i3i30−i3i301100000-1-1i3−i3000000000
χ4322-22-12-22-1-1-2111-12-212-1-2221100i3−i3i3−i31-1-2-1-1-1112200-2-200i3−i3i3−i30i3−i30i3−i30-1-10000011i3−i3000000000
χ4422-22-12-22-1-1-2111-12-212-1-2221100i3−i3i3−i31-1-2-1-1-111-2-2002200−i3i3−i3i30i3−i30i3−i301100000-1-1−i3i3000000000
χ4522-22-12-22-1-1-2111-1-2212-1-2-2-2-1-100−i3i3i3−i31-12111-1-12-200-2200−i3i3−i3i30−i3i30i3−i30-11000001-1i3−i3000000000
χ4622-22-12-22-1-1-2111-1-2212-1-2-2-2-1-100−i3i3i3−i31-12111-1-1-22002-200i3−i3i3−i30−i3i30i3−i301-100000-11−i3i3000000000
χ4722-22-12-22-1-1-2111-1-2212-1-2-2-2-1-100i3−i3−i3i31-12111-1-12-200-2200i3−i3i3−i30i3−i30−i3i30-11000001-1−i3i3000000000
χ4822-22-12-22-1-1-2111-1-2212-1-2-2-2-1-100i3−i3−i3i31-12111-1-1-22002-200−i3i3−i3i30i3−i30−i3i301-100000-11i3−i3000000000
χ4944444-4-44444444400-4-4-4-40000000000-4-4000000000000000000000000000000000000000000000
χ504444-2-4-44-2-24-2-2-2-2002-42-400000000002200000000000000−2i32i32i3−2i3000000000000000000000000000
χ514444-2-4-44-2-24-2-2-2-2002-42-4000000000022000000000000002i3−2i3−2i32i3000000000000000000000000000
χ52444-24-4-4-24-2-24-2-2-200-42-4200000000002200000000000000000000000000000000000023−230000000
χ53444-24-4-4-24-2-24-2-2-200-42-42000000000022000000000000000000000000000000000000−23230000000
χ54444-2-244-2-21-2-211144-2-2-2-2-2-2-2-244-2-2-2-211-2-21111000000000000-211-211000000000000000000000
χ55444-2-244-2-21-2-211144-2-2-2-2-2-2-2-2-4-4222211-2-211110000000000002-1-12-1-1000000000000000000000
χ56444-2-244-2-21-2-2111-4-4-2-2-2-222224-4-2-2221122-1-1-1-1000000000000-2112-1-1000000000000000000000
χ57444-2-244-2-21-2-2111-4-4-2-2-2-22222-4422-2-21122-1-1-1-10000000000002-1-1-211000000000000000000000
χ5844-44-2-444-2-2-4222-200-2-4240000000000-22000000004000-40-2-222000000000000000000000000000
χ5944-44-2-444-2-2-4222-200-2-4240000000000-2200000000-40004022-2-2000000000000000000000000000
χ6044-4-244-4-24-22-422-24-4-4-242-2-2-4-40000002-224-2-222000000000000000000000000000000000000000
χ6144-4-244-4-24-22-422-2-44-4-24222440000002-2-2-422-2-2000000000000000000000000000000000000000
χ6244-4-24-44-24-22-422-20042-4-20000000000-220000000004000-40000000000-200000020000000000000
χ6344-4-24-44-24-22-422-20042-4-20000000000-22000000000-4000400000000002000000-20000000000000
χ6444-4-2-24-4-2-2122-1-114-42-2-22-2-22200−2i32i3−2i32i3-112-211-1-10000000000000i3−i30i3−i3000000000000000000000
χ6544-4-2-24-4-2-2122-1-114-42-2-22-2-222002i3−2i32i3−2i3-112-211-1-10000000000000−i3i30−i3i3000000000000000000000
χ6644-4-2-24-4-2-2122-1-11-442-2-2222-2-200−2i32i32i3−2i3-11-22-1-1110000000000000i3−i30−i3i3000000000000000000000
χ6744-4-2-24-4-2-2122-1-11-442-2-2222-2-2002i3−2i3−2i32i3-11-22-1-1110000000000000−i3i30i3−i3000000000000000000000
χ68888-4-4-8-8-4-42-4-42220044440000000000-2-2000000000000000000000000000000000000000000000
χ6988-8-4-4-88-4-4244-2-2200-444-400000000002-2000000000000000000000000000000000000000000000
χ708-808800-8-880000-8000000000000000000000000000000000000000000000000000000000000000
χ718-808-400-84-4000040000000026−2600000000000026−26000000000000000000000000000000000000000
χ728-808-400-84-40000400000000−2626000000000000−2626000000000000000000000000000000000000000
χ738-80-48004-8-40000400000026−2600000000000026−2600000000000000000000000000000000000000000
χ748-80-48004-8-400004000000−2626000000000000−262600000000000000000000000000000000000000000
χ758-80-4-400442006-6-200000026−2626−260000000000−66−66000000000000000000000000000000000000000
χ768-80-4-400442006-6-2000000−2626−262600000000006−66−6000000000000000000000000000000000000000
χ778-80-4-40044200-66-200000026−26−26260000000000−666−6000000000000000000000000000000000000000
χ788-80-4-40044200-66-2000000−262626−2600000000006−6−66000000000000000000000000000000000000000

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