Finite Group Databasebeta

← Group #11868026

Character table — Group #11868026

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222223344444444446666666888888888888812121212121212121212161616161616161618182424242424242424242424242436363648487272
order1223344664423466612121212224881212266666812121212242424668881224246666122424248824688121212242424242488862448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-11-11111-1-11111111111-11-1-11-1-1-111-1-11-1-11-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-11111111111111111111-1-1-11-1-111111111-1-1-1111-111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-111-1-11-11111-1-11111-1-1-11-1-1-11-1-11-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111-11-1111111111111111-1-1111-1-1-111-1-1-1-1111-1-11111-111-1-1-1-11111-1-1-1-111-1-11-1-11-1-11-11-1
χ611111111111-11-111111111111111-1-1-1-1-111-1-11111-1-1111-1-1111-1-1-1-1-111111-1-1-111-1-1-1111-1-11-1-1-11-11
χ711111111111-11-11111111111-1-1111-1-1111-1-1-111-1-1-1-111-1111-1-11-111-1-1-1-1-1-1-11-1-11-111-1-1-111-111-11-11
χ811111111111-11-11111111111-1-111-1-1-1-1-111-1-11111-1-111-1111-1-1-1-1-1-1-1111-1-11-1-11-1-1-1-111-111-1111-11-1
χ9111111111-1-11111111111-1-1-111-1-11111111111111-1-1-1-1111-11111111111-1-11-1-1-11-1-1-1-1-1111-1-1-111-1-1
χ10111111111-1-11111111111-1-1-111-1-1-111-1-11-11111-1-1-1-1-1-1111-111-11-1-11-1-1-1-1-1-11-11-1-11111111-1-1-1-1-111
χ11111111111-1-11111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ12111111111-1-11111111111-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-11111-111-11111-1-1-111111-1-1
χ13111111111-1-1-11-11111111-1-1-111-1-11-1-1111-1-1-111-1-111-1-11-1-1-1111-111-1-1-1-1-1-11-111-11-1-1111-1-1-1111-1-11
χ14111111111-1-1-11-11111111-1-1-111-1-1-1-1-1-1-111-1-1111111-1-11-1-1-111-1-1-1-1-1111-1-1-111-11111-1-11-1-1-111-111-1
χ15111111111-1-1-11-11111111-1-1-1-1-1-1-11-1-1111-1-1-111-1-111-1-1-111-1-1-11-111-1-1-1-111-1-11111-1-111-1111-1-1-111-1
χ16111111111-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1111-1-11-1-11
χ1722222-2-22222020222-2-2-2-2-2-220022000002000-2-20000-2-202i−2i2000000000000000000000002i−2i02i−2i0000
χ1822222-2-22222020222-2-2-2-2-2-220022000002000-2-20000-2-20−2i2i200000000000000000000000−2i2i0−2i2i0000
χ1922222-2-222-2-2020222-2-2-2-222-200-2-2000002000-2-200002202i−2i-2000000000000000000000002i−2i0−2i2i0000
χ2022222-2-222-2-2020222-2-2-2-222-200-2-2000002000-2-20000220−2i2i-200000000000000000000000−2i2i02i−2i0000
χ212222-1222-1222-122-1-1-12-1222200-1-122-1-1-1-122-1-1-1-1-122-1-1000-1002-1-1-1-12-1-10002-120-1-1-1-1-10000000000
χ222222-1222-1222-122-1-1-12-1222200-1-1-22-111-1-22-1-1-11122-1-1000-100-2-111-1-211000-2-1-20-111110000000000
χ232222-1222-122-2-1-22-1-1-12-1222200-1-12-21-1-1-1-2-21-1-111-2-2-1-1000-10021-1-11-21100021-201-1-1110000000000
χ242222-1222-122-2-1-22-1-1-12-1222200-1-1-2-2111-12-21-1-1-1-1-2-2-1-1000-100-211112-1-1000-2120111-1-10000000000
χ252222-1222-1-2-22-122-1-1-12-12-2-2-2001122-1-1-1-122-1-1-1-1-1-2-2110001002-1-1-1-12-1-1000-21-20111110000000000
χ262222-1222-1-2-22-122-1-1-12-12-2-2-20011-22-111-1-22-1-1-111-2-211000100-2-111-1-21100021201-1-1-1-10000000000
χ272222-1222-1-2-2-2-1-22-1-1-12-12-2-2-200112-21-1-1-1-2-21-1-111221100010021-1-11-211000-2-120-111-1-10000000000
χ282222-1222-1-2-2-2-1-22-1-1-12-12-2-2-20011-2-2111-12-21-1-1-1-12211000100-211112-1-10002-1-20-1-1-1110000000000
χ29222-1222-12002-12-12-12-12-100022002-1222-12-12-1-12200002220-1-1-1-1-1-1-1-1-1-1002000200000-1-1-1000-1-100
χ30222-1222-12002-12-12-12-12-10002200-2-12-2-2-1-2-12-1-1-2-200002220-1-11-111-111100-2000-200000-1-1-10001100
χ31222-1222-12002-12-12-12-12-1000-2-2002-1222-12-12-1-1220000-2-2-2011-1-1-1-1-1-1-1-100-2000-2000001110001100
χ32222-1222-12002-12-12-12-12-1000-2-200-2-12-2-2-1-2-12-1-1-2-20000-2-2-20111-111-1111002000200000111000-1-100
χ33222-1222-1200-2-1-2-12-12-12-1000220021-222-1-21-2-1-1-2-200002-2-20-1-1-11-1-11111002000-200000-111000-1100
χ34222-1222-1200-2-1-2-12-12-12-10002200-21-2-2-2-121-2-1-12200002-2-20-1-111111-1-1-100-2000200000-1110001-100
χ35222-1222-1200-2-1-2-12-12-12-1000-2-20021-222-1-21-2-1-1-2-20000-222011-11-1-1111100-20002000001-1-10001-100
χ36222-1222-1200-2-1-2-12-12-12-1000-2-200-21-2-2-2-121-2-1-1220000-22201111111-1-1-1002000-2000001-1-1000-1100
χ3722-2222-2222222-2-2-22-222-22-2-2002202200-20-2-2-2200-222-2000-2000200-20000000-200200000000000000
χ3822-2222-22222-222-2-22-222-22-2-200220-2-200-2022-22002-22-2000-2000-20020000000200-200000000000000
χ3922-2222-222-2-222-2-2-22-222-2-22200-2-202200-20-2-2-22002-2-220002000200-20000000200-200000000000000
χ4022-2222-222-2-2-222-2-22-222-2-22200-2-20-2-200-2022-2200-22-220002000-20020000000-200200000000000000
χ4122-222-222222020-2-222-2-22-22-2222200000-20002-20000-22-200-22200000000220000000000-200-2000000
χ4222-222-222222020-2-222-2-22-22-2-2-22200000-20002-20000-22200-2-2-200000000-2-200000000002002000000
χ4322-222-2222-2-2020-2-222-2-222-2222-2-200000-20002-200002-2-20022200000000-2-20000000000-2002000000
χ4422-222-2222-2-2020-2-222-2-222-22-2-2-2-200000-20002-200002-22002-2-200000000220000000000200-2000000
χ4522-22-12-22-1222-1-2-21-112-1-22-2-200-1-102-1−i3i310-211-1−i3i3-22-110001000-1−i3i310−i3i30000100-1−i3i3−i3i30000000000
χ4622-22-12-22-1222-1-2-21-112-1-22-2-200-1-102-1i3−i310-211-1i3−i3-22-110001000-1i3−i310i3−i30000100-1i3−i3i3−i30000000000
χ4722-22-12-22-122-2-12-21-112-1-22-2-200-1-10-21−i3i3102-11-1i3−i32-2-1100010001−i3i3-10i3−i30000-1001−i3i3i3−i30000000000
χ4822-22-12-22-122-2-12-21-112-1-22-2-200-1-10-21i3−i3102-11-1−i3i32-2-1100010001i3−i3-10−i3i30000-1001i3−i3−i3i30000000000
χ4922-22-12-22-1-2-22-1-2-21-112-1-2-222001102-1−i3i310-211-1−i3i32-21-1000-1000-1−i3i310−i3i30000-1001i3−i3i3−i30000000000
χ5022-22-12-22-1-2-22-1-2-21-112-1-2-222001102-1i3−i310-211-1i3−i32-21-1000-1000-1i3−i310i3−i30000-1001−i3i3−i3i30000000000
χ5122-22-12-22-1-2-2-2-12-21-112-1-2-22200110-21−i3i3102-11-1i3−i3-221-1000-10001−i3i3-10i3−i30000100-1i3−i3−i3i30000000000
χ5222-22-12-22-1-2-2-2-12-21-112-1-2-22200110-21i3−i3102-11-1−i3i3-221-1000-10001i3−i3-10−i3i30000100-1−i3i3i3−i30000000000
χ534444-2-4-44-2440-204-2-22-42-4-4-4400-2-200000-200022000022000-200000000000000000000000000000000
χ544444-2-4-44-2-4-40-204-2-22-42-444-4002200000-2000220000-2-2000200000000000000000000000000000000
χ55444-24-4-4-24000-20-24-2-42-42000000000000-20002200000004i−4i000000000000000000000000−2i2i0000000
χ56444-24-4-4-24000-20-24-2-42-42000000000000-2000220000000−4i4i0000000000000000000000002i−2i0000000
χ57444-2-244-2-200414-2-21-2-2-2-200000004-2-2-2-214-2-211-2-20000000000-21111-2110000000000000000000000
χ58444-2-244-2-200414-2-21-2-2-2-20000000-4-2-2221-4-2-21122000000000021-1-112-1-10000000000000000000000
χ59444-2-244-2-200-41-4-2-21-2-2-2-20000000422-2-21-42211220000000000-2-111-12-1-10000000000000000000000
χ60444-2-244-2-200-41-4-2-21-2-2-2-20000000-42222142211-2-200000000002-1-1-1-1-2110000000000000000000000
χ6144-44-2-444-2440-20-42-2-2-424-44-400-2-2000002000-2200002-2000200000000000000000000000000000000
χ6244-44-2-444-2-4-40-20-42-2-2-4244-440022000002000-220000-22000-200000000000000000000000000000000
χ6344-4-244-4-24004-2-42-4-2-4-24200000000-2400202-42-20000000000000-20020000000000000000000000000
χ6444-4-244-4-2400-4-242-4-2-4-242000000002-40020-242-20000000000000200-20000000000000000000000000
χ6544-4-24-44-24000-202-4-242-4-20004400000002000-22000000-4000-2-2000000000000000000002000000000
χ6644-4-24-44-24000-202-4-242-4-2000-4-400000002000-2200000040002200000000000000000000-2000000000
χ6744-4-2-24-4-2-20041-42212-2-2200000000-2-2−2i32i3-1022-11−2i32i3000000000001i3−i3-10i3−i30000000000000000000000
χ6844-4-2-24-4-2-20041-42212-2-2200000000-2-22i3−2i3-1022-112i3−2i3000000000001−i3i3-10−i3i30000000000000000000000
χ6944-4-2-24-4-2-200-4142212-2-220000000022−2i32i3-10-2-2-112i3−2i300000000000-1i3−i310−i3i30000000000000000000000
χ7044-4-2-24-4-2-200-4142212-2-2200000000222i3−2i3-10-2-2-11−2i32i300000000000-1−i3i310i3−i30000000000000000000000
χ714-404400-4-44i−4i04000-4000000022−224i−4i00000000000000000000022−2200000000−2i22i200000000000000000000
χ724-404400-4-44i−4i04000-40000000−22224i−4i000000000000000000000−2222000000002i2−2i200000000000000000000
χ734-404400-4-4−4i4i04000-4000000022−22−4i4i00000000000000000000022−22000000002i2−2i200000000000000000000
χ744-404400-4-4−4i4i04000-40000000−2222−4i4i000000000000000000000−222200000000−2i22i200000000000000000000
χ75888-4-4-8-8-4-400020-4-4244440000000000002000-2-2000000000000000000000000000000000000000000
χ7688-8-4-4-88-4-400020442-444-4000000000000-20002-2000000000000000000000000000000000000000000
χ778-808-400-848i−8i0-40004000000000−4i4i00000000000000000000000000000000000000000000000000000
χ788-808-400-84−8i8i0-400040000000004i−4i00000000000000000000000000000000000000000000000000000
χ798-80-48004-8000-40004000000042−4200000000000000000000000−2222000000000000000000000000000000
χ808-80-48004-8000-400040000000−42420000000000000000000000022−22000000000000000000000000000000
χ8116-160-8-800880004000-40000000000000000000000000000000000000000000000000000000000000000

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