Finite Group Databasebeta

← Group #11886906

Character table — Group #11886906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222444444444466668888888888888121212121212121212121212121216161616161616162424242424242424242424243636363648487272
order12233446623466612121212888826666681212121224242244668812122424242466661224242422666881224242424244462428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-111-1-11-11111-1-11-11-1-1-111-1-11111-11-1-11-1-1-1-1-11-1-1-1111111-1-111-1-1-11
χ3111111111111111111111-1-111111111111111111111-11111-1-1111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-111-1-11-11111-1-11-11-1-1-11-1-1-111-1-1-11-1-11-1-1-1-111-1-11-111-1-1-111-1-1111-1
χ51111111111111111111-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-11111111111-11-1-1-111-1-1111-1-1-1-111-1-1
χ61111111111111111111-1-111-111-1-11-11111-1-1-11-1111-1111-1-111-11-1-11-1-1-11-1-111-11-1-111111-1-1-1-11-1
χ71111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111-1-1-1-1-111-1-11-11111-1-1-11-1111-1-111-1-1-1-1-11-1-11-1-1-111-1111-1-1-1-1-1-1-1-11111-11
χ9111111111-11-1111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111-111-1-1-111-1-1-1-1111-11-1
χ10111111111-11-111111111111-1-1-1-1-111-1-11111-11-111111111111-1-1-1-1-1111-1-1-1-1-11-1-111-1-11111-11-1-1
χ11111111111-11-1111111111-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-11-111-1-1-1-11-1-11111-11-11111-1-1-11-11
χ12111111111-11-1111111111-1-1-1-1-1-1-111-1-11111-11-11111-11111-1-1-1-1-1-1-1111-11-1-1-1-11-11-111-1-1-1-11-111
χ13111111111-11-11111111-1-1111-1-1111-1-1-111-1-1111111-1111-1-1111-111-1-1-1-1-111-1-1-1-11-11-1-111-1-11-1-11
χ14111111111-11-11111111-1-111-1-1-1-1-111-1-111111-11-1-1-1-11-1-1-1-111-1-1-1-1-11111-11111-11-11-1-1-1-1-1-1-1111
χ15111111111-11-11111111-1-1-1-11-1-1111-1-1-111-1-1111111-1-111-1-1-1-11-111-1-1-1-1-1-11-1-1111-1-111-1-111-111-1
χ16111111111-11-11111111-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11111111-1-1-1
χ172222-1222-12-122-1-1-12-12220022-1-1-1-122-1-1-1-1-12222-1-120-1-1-1-1002-1-1-1-12-1-120-1-1-100-1-100000000000
χ182222-1222-12-122-1-1-12-122200-22-111-1-22-1-1-1112-22-2112011-1-100-2-111-1-211-20-11100-1-100000000000
χ192222-1222-12-122-1-1-12-12-2-20022-1-1-1-122-1-1-1-1-1-2-2-2-211-201111002-1-1-1-12-1-1-20111001100000000000
χ202222-1222-12-122-1-1-12-12-2-200-22-111-1-22-1-1-111-22-22-1-1-20-1-11100-2-111-1-211201-1-1001100000000000
χ212222-1222-1-2-1-22-1-1-12-1222002-21-1-1-1-2-21-1-111-2-2-2-2112011-1-10021-1-11-211201-1-1001-100000000000
χ222222-1222-1-2-1-22-1-1-12-122200-2-2111-12-21-1-1-1-1-22-22-1-120-1-1-1-100-211112-1-1-20111001-100000000000
χ232222-1222-1-2-1-22-1-1-12-12-2-2002-21-1-1-1-2-21-1-1112222-1-1-20-1-1110021-1-11-211-20-11100-1100000000000
χ242222-1222-1-2-1-22-1-1-12-12-2-200-2-2111-12-21-1-1-1-12-22-211-20111100-211112-1-120-1-1-100-1100000000000
χ25222-1222-122-12-12-12-12-100222-1222-12-12-1-122000000020000-1-1-1-1-1-1-1-1-1-1020002200-1-1-10000-1-100
χ26222-1222-122-12-12-12-12-10022-2-12-2-2-1-2-12-1-1-2-2000000020000-1-11-111-11110-2000-2200-1-1-100001100
χ27222-1222-122-12-12-12-12-100-2-22-1222-12-12-1-1220000000-2000011-1-1-1-1-1-1-1-10-2000-2-20011100001100
χ28222-1222-122-12-12-12-12-100-2-2-2-12-2-2-1-2-12-1-1-2-20000000-20000111-111-1111020002-2001110000-1-100
χ29222-1222-12-2-1-2-12-12-12-1002221-222-1-21-2-1-1-2-2000000020000-1-1-11-1-1111102000-2-200-1110000-1100
χ30222-1222-12-2-1-2-12-12-12-10022-21-2-2-2-121-2-1-122000000020000-1-111111-1-1-10-20002-200-11100001-100
χ31222-1222-12-2-1-2-12-12-12-100-2-221-222-1-21-2-1-1-2-20000000-2000011-11-1-111110-200022001-1-100001-100
χ32222-1222-12-2-1-2-12-12-12-100-2-2-21-2-2-2-121-2-1-1220000000-200001111111-1-1-102000-22001-1-10000-1100
χ3322-2222-22222-2-2-22-222-2220002200-20-2-2-220020-2000-200022000200-20000020000-2-200000000000
χ3422-2222-22222-2-2-22-222-2-2-20002200-20-2-2-2200-2020002000-2-2000200-200000-200002200000000000
χ3522-2222-222-222-2-22-222-222000-2-200-2022-2200-202000-200022000-200200000-200002-200000000000
χ3622-2222-222-222-2-22-222-2-2-2000-2-200-2022-220020-20002000-2-2000-20020000020000-2200000000000
χ3722-222-2222020-2-222-2-22002200000-20002-200020-2220-2-2-2002200000000000000000-2002-2000000
χ3822-222-2222020-2-222-2-22002200000-20002-2000-202-2-20-222002200000000000000000-200-22000000
χ3922-222-2222020-2-222-2-2200-2-200000-20002-200020-22202-2-200-2-200000000000000000200-22000000
χ4022-222-2222020-2-222-2-2200-2-200000-20002-2000-202-2-2022200-2-2000000000000000002002-2000000
χ4122-22-12-22-12-1-2-21-112-1-2220002-1−i3i310-211-1−i3i320-20−i3i3-20−i3i3-1-1000-1−i3i310−i3i300-1−i3i3001100000000000
χ4222-22-12-22-12-1-2-21-112-1-2220002-1i3−i310-211-1i3−i320-20i3−i3-20i3−i3-1-1000-1i3−i310i3−i300-1i3−i3001100000000000
χ4322-22-12-22-12-1-2-21-112-1-2-2-20002-1−i3i310-211-1−i3i3-2020i3−i320i3−i311000-1−i3i310−i3i3001i3−i300-1-100000000000
χ4422-22-12-22-12-1-2-21-112-1-2-2-20002-1i3−i310-211-1i3−i3-2020−i3i320−i3i311000-1i3−i310i3−i3001−i3i300-1-100000000000
χ4522-22-12-22-1-2-12-21-112-1-222000-21−i3i3102-11-1i3−i3-2020i3−i3-20i3−i3-1-10001−i3i3-10i3−i3001−i3i300-1100000000000
χ4622-22-12-22-1-2-12-21-112-1-222000-21i3−i3102-11-1−i3i3-2020−i3i3-20−i3i3-1-10001i3−i3-10−i3i3001i3−i300-1100000000000
χ4722-22-12-22-1-2-12-21-112-1-2-2-2000-21−i3i3102-11-1i3−i320-20−i3i320−i3i3110001−i3i3-10i3−i300-1i3−i3001-100000000000
χ4822-22-12-22-1-2-12-21-112-1-2-2-2000-21i3−i3102-11-1−i3i320-20i3−i320i3−i3110001i3−i3-10−i3i300-1−i3i3001-100000000000
χ4944444-4-444040444-4-4-4-40000000004000-4-400000000000000000000000000000000000000000000
χ504444-2-4-44-20-204-2-22-42-4000000000-200022000000−2i32i3002i3−2i300000000000000000000000000000000
χ514444-2-4-44-20-204-2-22-42-4000000000-2000220000002i3−2i300−2i32i300000000000000000000000000000000
χ52444-24-4-4-240-20-24-2-42-42000000000-200022000000000000000000000000000000000023−2300000000
χ53444-24-4-4-240-20-24-2-42-42000000000-2000220000000000000000000000000000000000−232300000000
χ54444-2-244-2-2414-2-21-2-2-2-200004-2-2-2-214-2-211-2-200000000000000-21111-21100000000000000000000
χ55444-2-244-2-2414-2-21-2-2-2-20000-4-2-2221-4-2-211220000000000000021-1-112-1-100000000000000000000
χ56444-2-244-2-2-41-4-2-21-2-2-2-20000422-2-21-422112200000000000000-2-111-12-1-100000000000000000000
χ57444-2-244-2-2-41-4-2-21-2-2-2-20000-42222142211-2-2000000000000002-1-1-1-1-21100000000000000000000
χ5844-44-2-444-20-20-42-2-2-4240000000002000-2200040-4-2-2002200000000000000000000000000000000
χ5944-44-2-444-20-20-42-2-2-4240000000002000-22000-4042200-2-200000000000000000000000000000000
χ6044-4-244-4-244-2-42-4-2-4-24200000-2400202-42-200000000000000000-200200000000000000000000000
χ6144-4-244-4-24-4-242-4-2-4-242000002-40020-242-200000000000000000200-200000000000000000000000
χ6244-4-24-44-240-202-4-242-4-20044000002000-22000000000-40000-2-20000000000000000020000000000
χ6344-4-24-44-240-202-4-242-4-200-4-4000002000-22000000000400002200000000000000000-20000000000
χ6444-4-2-24-4-2-241-42212-2-2200000-2-2−2i32i3-1022-11−2i32i30000000000000001i3−i3-10i3−i300000000000000000000
χ6544-4-2-24-4-2-241-42212-2-2200000-2-22i3−2i3-1022-112i3−2i30000000000000001−i3i3-10−i3i300000000000000000000
χ6644-4-2-24-4-2-2-4142212-2-220000022−2i32i3-10-2-2-112i3−2i3000000000000000-1i3−i310−i3i300000000000000000000
χ6744-4-2-24-4-2-2-4142212-2-2200000222i3−2i3-10-2-2-11−2i32i3000000000000000-1−i3i310i3−i300000000000000000000
χ684-404400-4-404000-4000022−2222−220000000000000000000000022−2222−2200000000000000000000002-20000
χ694-404400-4-404000-4000022−22−22220000000000000000000000022−22−22220000000000000000000000-220000
χ704-404400-4-404000-40000−222222−2200000000000000000000000−222222−220000000000000000000000-220000
χ714-404400-4-404000-40000−2222−222200000000000000000000000−2222−222200000000000000000000002-20000
χ72888-4-4-8-8-4-4020-4-4244440000000002000-2-200000000000000000000000000000000000000000000
χ7388-8-4-4-88-4-4020442-444-4000000000-20002-200000000000000000000000000000000000000000000
χ748-808-400-840-40004000042−420000000000000000000000000−2222000000000000000000000000000000
χ758-808-400-840-400040000−4242000000000000000000000000022−22000000000000000000000000000000
χ768-80-48004-80-4000400000042−420000000000000000000000000−22220000000000000000000000000000
χ778-80-48004-80-40004000000−4242000000000000000000000000022−220000000000000000000000000000
χ7816-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000000

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