Finite Group Databasebeta

← Group #11886698

Character table — Group #11886698

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444888888888888812121212121212121212121212121212161616161616161624242424242424242424242436364848727272
order1223344662346661212121246668121212121212242422446688881212242424246121212122424244468812121224242424241224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-111-1-1-1-1111-1-111-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111-1111-111-1-111-1-11-11-111-1-11111-1-1111-11-1-1-1-1-11-1-1-1111-1-111111-1-11-1-1
χ61111111111111111111-1111-111-1-111-1-11-11-111-1-1-1-111-1-1-1-11-11-1-1-1-1-111-11-111-1-1-1-1-1-1-111-111
χ71111111111111111111-1111-111-1-111-1-1-11-11-1-11111-1-111111-11-1-1-1-1-1-1-11-11-1-111111-1-1-1-1-111
χ81111111111111111111-1111-111-1-111-1-1-11-11-1-111-1-1-1-111-1-11-11-1-1-1-1-1-1111-1-1-111-1-1-111111-1-1
χ9111111111-11-111111111-1-11-1-1-11111-1-1111111-1-11111-1-111-11-111-1-1-1-111-1-1-1-11-11-1-1111-1-1-11
χ10111111111-11-111111111-1-11-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-11-111-1-1-1-1-1111-1-11-1-111-1-1-1111-1
χ11111111111-11-111111111-1-11-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11-111-1-1-111-1-1-111-111-1-1-1-11-111-1
χ12111111111-11-111111111-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-111-1-1-11-1-11111-11-11111-11-1-11
χ13111111111-11-11111111-1-1-111-1-1-1-111111-11-1111111111111-1-1-1-1-1111-1-1-11-1-1-1-111-1-111-11-11-1
χ14111111111-11-11111111-1-1-111-1-1-1-111111-11-11111-1-11111-1-1-1-1-1-1-1111-11-1-11-1-1-11-111-1-11-11-11
χ15111111111-11-11111111-1-1-111-1-1-1-11111-11-11-1-1-1-111-1-1-1-111-1-1-1-1-11111-111-1111-11-1-1-1-1-111-11
χ16111111111-11-11111111-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-111111-1-11-1
χ172222-1222-12-122-1-1-12-1222-1-122-1-1-1-1-1-1-12222-1-12200-1-1-1-100-12-1-1-12-1-120-100-1-1-1-10000000000
χ182222-1222-12-122-1-1-12-1222-1-122-1-1-1-1-1-1-1-2-2-2-211-2-200111100-12-1-1-12-1-1-2010011110000000000
χ192222-1222-12-122-1-1-12-12-22-1-1-22-111-1-1112-22-2-1-1-2-200-1-11100-1-2-111-21120100-1-1110000000000
χ202222-1222-12-122-1-1-12-12-22-1-1-22-111-1-111-22-2211220011-1-100-1-2-111-211-20-10011-1-10000000000
χ212222-1222-1-2-1-22-1-1-12-122-21-1-2-21-1-1-1-1112222-1-1-2-200-1-11100121-1-1-211-20-10011-110000000000
χ222222-1222-1-2-1-22-1-1-12-122-21-1-2-21-1-1-1-111-2-2-2-211220011-1-100121-1-1-21120100-1-11-10000000000
χ232222-1222-1-2-1-22-1-1-12-12-2-21-12-2111-1-1-1-12-22-2-1-12200-1-1-1-1001-21112-1-1-20100111-10000000000
χ242222-1222-1-2-1-22-1-1-12-12-2-21-12-2111-1-1-1-1-22-2211-2-2001111001-21112-1-120-100-1-1-110000000000
χ25222-1222-122-12-12-12-12-12-12-12-1222-1-12200000000220000-1-1-1-1-1-1-1-1-1-1020220000-1-1-100-1-1000
χ26222-1222-122-12-12-12-12-12-12-12-1222-1-12200000000-2-2000011-1-1-1-1-1-1-1-10-20-2-200001110011000
χ27222-1222-122-12-12-12-12-1-2-12-1-2-12-2-2-1-1-2-200000000220000-1-1-11-1111110-20-220000-1-1-10011000
χ28222-1222-122-12-12-12-12-1-2-12-1-2-12-2-2-1-1-2-200000000-2-2000011-11-1111110202-2000011100-1-1000
χ29222-1222-12-2-1-2-12-12-12-121-2-1-21-222-1-1-2-200000000220000-1-11-11-1-1111020-2-20000-11100-11000
χ30222-1222-12-2-1-2-12-12-12-121-2-1-21-222-1-1-2-200000000-2-20000111-11-1-11110-202200001-1-1001-1000
χ31222-1222-12-2-1-2-12-12-12-1-21-2-121-2-2-2-1-12200000000220000-1-111111-1-1-10-202-20000-111001-1000
χ32222-1222-12-2-1-2-12-12-12-1-21-2-121-2-2-2-1-12200000000-2-200001111111-1-1-1020-2200001-1-100-11000
χ3322-2222-22222-2-2-22-222-2022-20-2-200-2200020-2002-20000220020-2000000020000-2-20000000000
χ3422-2222-22222-2-2-22-222-2022-20-2-200-22000-20200-220000-2-20020-20000000-20000220000000000
χ3522-2222-222-222-2-22-222-20-2-2-202200-2200020-200-220000-2-200-202000000020000-220000000000
χ3622-2222-222-222-2-22-222-20-2-2-202200-22000-202002-200002200-2020000000-200002-20000000000
χ3722-222-2222020-2-222-2-22000-2000002-20020-2022002-2-2-2002200000000000000000-200-2200000
χ3822-222-2222020-2-222-2-22000-2000002-20020-202200-22-2-200-2-2000000000000000002002-200000
χ3922-222-2222020-2-222-2-22000-2000002-200-2020-2-2002-222002200000000000000000-2002-200000
χ4022-222-2222020-2-222-2-22000-2000002-200-2020-2-200-222200-2-200000000000000000200-2200000
χ4122-22-12-22-12-1-2-21-112-1-202-110-21−i3i31-1−i3i3020-2−i3i32-200−i3i3-1-100-101−i3i30−i3i300-100−i3i3110000000000
χ4222-22-12-22-12-1-2-21-112-1-202-110-21−i3i31-1−i3i30-202i3−i3-2200i3−i31100-101−i3i30−i3i300100i3−i3-1-10000000000
χ4322-22-12-22-12-1-2-21-112-1-202-110-21i3−i31-1i3−i3020-2i3−i32-200i3−i3-1-100-101i3−i30i3−i300-100i3−i3110000000000
χ4422-22-12-22-12-1-2-21-112-1-202-110-21i3−i31-1i3−i30-202−i3i3-2200−i3i31100-101i3−i30i3−i300100−i3i3-1-10000000000
χ4522-22-12-22-1-2-12-21-112-1-20-21102-1−i3i31-1i3−i3020-2−i3i3-2200−i3i3110010-1−i3i30i3−i300-100i3−i31-10000000000
χ4622-22-12-22-1-2-12-21-112-1-20-21102-1−i3i31-1i3−i30-202i3−i32-200i3−i3-1-10010-1−i3i30i3−i300100−i3i3-110000000000
χ4722-22-12-22-1-2-12-21-112-1-20-21102-1i3−i31-1−i3i3020-2i3−i3-2200i3−i3110010-1i3−i30−i3i300-100−i3i31-10000000000
χ4822-22-12-22-1-2-12-21-112-1-20-21102-1i3−i31-1−i3i30-202−i3i32-200−i3i3-1-10010-1i3−i30−i3i300100i3−i3-110000000000
χ4944444-4-444040444-4-4-4-4000400000-4-4000000000000000000000000000000000000000000000
χ504444-2-4-44-20-204-2-22-42-4000-20000022000000−2i32i300002i3−2i30000000000000000000000000000000
χ514444-2-4-44-20-204-2-22-42-4000-200000220000002i3−2i30000−2i32i30000000000000000000000000000000
χ52444-24-4-4-240-20-24-2-42-42000-2000002200000000000000000000000000000000000023−230000000
χ53444-24-4-4-240-20-24-2-42-42000-20000022000000000000000000000000000000000000−23230000000
χ54444-2-244-2-2414-2-21-2-2-2-24-2-214-2-2-2-211-2-200000000000000001-2111-2110000000000000000000
χ55444-2-244-2-2414-2-21-2-2-2-2-4-2-21-4-2-22211220000000000000000121-1-12-1-10000000000000000000
χ56444-2-244-2-2-41-4-2-21-2-2-2-24221-422-2-211220000000000000000-1-2-1112-1-10000000000000000000
χ57444-2-244-2-2-41-4-2-21-2-2-2-2-42214222211-2-20000000000000000-12-1-1-1-2110000000000000000000
χ5844-44-2-444-20-20-42-2-2-424000200000-220040-40-2-20000220000000000000000000000000000000
χ5944-44-2-444-20-20-42-2-2-424000200000-2200-4040220000-2-20000000000000000000000000000000
χ6044-4-244-4-244-2-42-4-2-4-2420-24202-4002-2000000000000000000-202000000000000000000000000
χ6144-4-244-4-24-4-242-4-2-4-24202-420-24002-200000000000000000020-2000000000000000000000000
χ6244-4-24-44-240-202-4-242-4-2000200000-2200000000004-40000-2-2000000000000000002000000000
χ6344-4-24-44-240-202-4-242-4-2000200000-220000000000-4400002200000000000000000-2000000000
χ6444-4-2-24-4-2-241-42212-2-220-2-2-1022−2i32i3-11−2i32i3000000000000000010-1i3−i30i3−i30000000000000000000
χ6544-4-2-24-4-2-241-42212-2-220-2-2-10222i3−2i3-112i3−2i3000000000000000010-1−i3i30−i3i30000000000000000000
χ6644-4-2-24-4-2-2-4142212-2-22022-10-2-2−2i32i3-112i3−2i30000000000000000-101i3−i30−i3i30000000000000000000
χ6744-4-2-24-4-2-2-4142212-2-22022-10-2-22i3−2i3-11−2i32i30000000000000000-101−i3i30i3−i30000000000000000000
χ68888-4-4-8-8-4-4020-4-424444000200000-2-2000000000000000000000000000000000000000000000
χ6988-8-4-4-88-4-4020442-444-4000-2000002-2000000000000000000000000000000000000000000000
χ708-808800-8-808000-8000000000000000000000000000000000000000000000000000000000000
χ718-808-400-840-40004000000000000000000000000000002i6−2i600000000000000000000000000000
χ728-808-400-840-4000400000000000000000000000000000−2i62i600000000000000000000000000000
χ738-80-48004-80-4000400000000000000000000000000000002i6−2i6000000000000000000000000000
χ748-80-48004-80-400040000000000000000000000000000000−2i62i6000000000000000000000000000
χ7516-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000

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