Finite Group Databasebeta

← Group #11869059

Character table — Group #11869059

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424242244666641212121212121212242424242424444444881212121224242424121212121244812121212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-111-1-1-1-1-1-1111111-11-1-1111-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-1-1-1-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-11-111111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111111-1-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-11-1-11-1-1-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1111-1-1-1-1-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-11111-111-1-111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-11111-1-11111111-1-11-1-1-1-11-1-111-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-11-1-1-11111111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000002-2000022-2-200000000000000-2000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-220000-2-2-2-2000000000000002000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-20000222200000000000000-2000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-220000-2-222000000000000002000000-2002000
χ2122222-122-12-122-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-12-1-1-1-1020-1-1000-1-1000000000
χ2222222-122-12-122-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-2-20000-2-2001111112-1-1-1-10-201100011000000000
χ2322222-122-12-122-1-122-1-1-1-2-22-12-111112222-1-1-1-1-22211-1-1-1-1-2-21111220000-2-200-1-11111-211-1-10-2011000-1-1000000000
χ2422222-122-12-122-1-122-1-1-1-2-22-12-11111-2-2-2-21111-22211-1-1-1-1-2-21111-2-20000220011-1-1-1-1-211-1-1020-1-100011000000000
χ2522222-122-12-122-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-200002200-1-1-1-1-1-1-211110-201100011000000000
χ2622222-122-12-122-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1220000-2-200111111-21111020-1-1000-1-1000000000
χ2722222-122-12-122-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-2-2-1-111-1-1-2-21111-2-20000-2-200-1-111112-1-111020-1-100011000000000
χ2822222-122-12-122-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-2-2-1-111-1-1-2-21111220000220011-1-1-1-12-1-1110-2011000-1-1000000000
χ292222-12222-12-1-12-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-100222200-1-1000000-1-1-1-1-120200-1-1-100-1-10000-100
χ302222-12222-12-1-12-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-100-2-2-2-20011000000-1-1-1-1-1-20-20011100110000100
χ312222-12222-12-1-12-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-1-2-222-1-111111100222200-1-1000000111-1-1-20-200-1-1-100110000100
χ322222-12222-12-1-12-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-1-2-222-1-111111100-2-2-2-20011000000111-1-12020011100-1-10000-100
χ332222-12222-12-1-12-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-10022-2-200-1-100000011111-20200-11100-1-10000100
χ342222-12222-12-1-12-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-2-22200110000001111120-2001-1-100110000-100
χ352222-12222-12-1-12-1-2-2-1-1-1-2-2-12-12-2-2-2-20000000021122-2-2-1-11111110022-2-200-1-1000000-1-1-11120-200-11100110000-100
χ362222-12222-12-1-12-1-2-2-1-1-1-2-2-12-12-2-2-2-20000000021122-2-2-1-111111100-2-2220011000000-1-1-111-202001-1-100-1-10000100
χ3722-2-2222-2-22-2-2-2222-2-2-220022-2-200002-22-222-2-202-2002-22-20000002-2000000002-200000002-2000000002-2000000000
χ3822-2-2222-2-22-2-2-2222-2-2-220022-2-20000-22-22-2-22202-2002-22-2000000-2200000000-2200000002-200000000-22000000000
χ3922-2-2222-2-22-2-2-222-22-2-220022-2-200002-22-222-2-20-2200-222-2000000-22000000002-20000000-2200000000-22000000000
χ4022-2-2222-2-22-2-2-222-22-2-220022-2-20000-22-22-2-2220-2200-222-20000002-200000000-220000000-22000000002-2000000000
χ4122-2-222-22-22-2-2-22200-2-2200-2-22200002-2-2222-2-20000000-2200000000002i−2i0000-220000000000000002i−2i000002i−2i0000
χ4222-2-222-22-22-2-2-22200-2-2200-2-22200002-2-2222-2-20000000-220000000000−2i2i0000-22000000000000000−2i2i00000−2i2i0000
χ4322-2-222-22-22-2-2-22200-2-2200-2-2220000-222-2-2-2220000000-2200000000002i−2i00002-20000000000000002i−2i00000−2i2i0000
χ4422-2-222-22-22-2-2-22200-2-2200-2-2220000-222-2-2-2220000000-220000000000−2i2i00002-2000000000000000−2i2i000002i−2i0000
χ4522-2-22-12-2121-2-2-1-12-211-1002-1-2133−3−32-22-2-1-11102-23−3-11-110033−3−32-200000000-1133−3−303−3-110003−3000-11000000000
χ4622-2-22-12-2121-2-2-1-12-211-1002-1-2133−3−3-22-2211-1-102-23−3-11-110033−3−3-22000000001-1−3−33303−3-11000−330001-1000000000
χ4722-2-22-12-2121-2-2-1-12-211-1002-1-21−3−3332-22-2-1-11102-2−33-11-1100−3−3332-200000000-11−3−3330−33-11000−33000-11000000000
χ4822-2-22-12-2121-2-2-1-12-211-1002-1-21−3−333-22-2211-1-102-2−33-11-1100−3−333-22000000001-133−3−30−33-110003−30001-1000000000
χ4922-2-22-12-2121-2-2-1-1-2211-1002-1-2133−3−32-22-2-1-1110-22−331-1-110033−3−3-2200000000-1133−3−30−331-1000−330001-1000000000
χ5022-2-22-12-2121-2-2-1-1-2211-1002-1-2133−3−3-22-2211-1-10-22−331-1-110033−3−32-2000000001-1−3−3330−331-10003−3000-11000000000
χ5122-2-22-12-2121-2-2-1-1-2211-1002-1-21−3−3332-22-2-1-1110-223−31-1-1100−3−333-2200000000-11−3−33303−31-10003−30001-1000000000
χ5222-2-22-12-2121-2-2-1-1-2211-1002-1-21−3−333-22-2211-1-10-223−31-1-1100−3−3332-2000000001-133−3−303−31-1000−33000-11000000000
χ5344444-2-4-4-24-244-2-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ554444-24-4-44-24-2-24-200-2-2-2002-42-4000000000000000000022000000004-40000-2-2000000000000000020000000000000
χ564444-24-4-44-24-2-24-200-2-2-2002-42-400000000000000000002200000000-440000220000000000000000-20000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-2-44242-4-4-2-20022-200-424-200004-4-44-2-22200000002-200000000000000002-20000000000000000000000000000
χ6244-4-44-2-44242-4-4-2-20022-200-424-20000-444-422-2-200000002-20000000000000000-220000000000000000000000000000
χ6344-4-4-244-4-4-2-4224-24-422-200-242-40000000000000-22004-4-220000000000000000000000000-220000000000000000000
χ6444-4-4-244-4-4-2-4224-2-4422-200-242-400000000000002-200-44-2200000000000000000000000002-20000000000000000000
χ6544-4-4-24-44-4-2-4224-20022-2002-4-2400000000000000000002-200000000004i−4i000000000000000000000−2i2i00000000000
χ6644-4-4-24-44-4-2-4224-20022-2002-4-2400000000000000000002-20000000000−4i4i0000000000000000000002i−2i00000000000
χ6744-4-4-2-24-42-2222-214-4-1-1100-2-2222323−23−23000000000-2223−23-221-100−3−33300000000000000000−331-10000000000000000000
χ6844-4-4-2-24-42-2222-214-4-1-1100-2-222−23−232323000000000-22−2323-221-10033−3−3000000000000000003−31-10000000000000000000
χ6944-4-4-2-24-42-2222-21-44-1-1100-2-2222323−23−230000000002-2−23232-21-100−3−333000000000000000003−3-110000000000000000000
χ7044-4-4-2-24-42-2222-21-44-1-1100-2-222−23−2323230000000002-223−232-21-10033−3−300000000000000000−33-110000000000000000000
χ714-44-444004-4-44-4-44004-4-400000000000000000000000000000000000000022−22000022−2222−22000000000000000000000000
χ724-44-444004-4-44-4-44004-4-4000000000000000000000000000000000000000−22220000−2222−2222000000000000000000000000
χ734-44-44-200-2-424-42-200-222000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i600000022−220000−22−22000000000000000000000000
χ744-44-44-200-2-424-42-200-222000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i6000000−222200002−22−2000000000000000000000000
χ754-44-44-200-2-424-42-200-222000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i6000000−222200002−22−2000000000000000000000000
χ764-44-44-200-2-424-42-200-222000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i600000022−220000−22−22000000000000000000000000
χ774-4-444400-4-44-44-4400-44-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-444400-4-44-44-4400-44-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-2002-4-2-442-2002-22−2i22i20000i2−i2−i2i20000−2i32i32i3−2i3000000000−2i22i2i2−i2−i2i20000000000006−6−66000000000000000000000000
χ804-4-444-2002-4-2-442-2002-22−2i22i20000i2−i2−i2i200002i3−2i3−2i32i3000000000−2i22i2i2−i2−i2i2000000000000−666−6000000000000000000000000
χ814-4-444-2002-4-2-442-2002-222i2−2i20000−i2i2i2−i20000−2i32i32i3−2i30000000002i2−2i2−i2i2i2−i2000000000000−666−6000000000000000000000000
χ824-4-444-2002-4-2-442-2002-222i2−2i20000−i2i2i2−i200002i3−2i3−2i32i30000000002i2−2i2−i2i2i2−i20000000000006−6−66000000000000000000000000
χ834-4-44-2400-4242-2-4-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000000023−23000000000000000000000i6−i60000000
χ844-4-44-2400-4242-2-4-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i200000000−2323000000000000000000000−i6i60000000
χ854-4-44-2400-4242-2-4-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000000023−23000000000000000000000−i6i60000000
χ864-4-44-2400-4242-2-4-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i200000000−2323000000000000000000000i6−i60000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-884-4444-4200-2-220044-4-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-8-480084-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-444-4442002-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-400-444-4442002-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-40044-44-44200-22-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44200-22-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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