Finite Group Databasebeta

← Group #11866374

Character table — Group #11866374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424224412121212412121212121212122424242424244444446688121224242424121212121222668121212121224244444628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-11111-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-1-111-1-1-1-111111-11-1-111-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1111-1-111111111-111-1-11-111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111111-1-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-1111111-11-1-1-1-1-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1111-1-1-11111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111-1-111-11-1-1-1111-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-111111-1-111-1-1-1-11-111111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000200-2002200-2-2000000000000002000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-20020022002200000000000000-20000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000200-200-2-200-2-20000000000000020000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000-200200-2-2002200000000000000-2000000-2200000
χ2122222-122-122-1-12-122-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-1022000-1-12200-1-1-1-12-1-1-1-120-1-100-1-100000000000
χ2222222-122-122-1-12-122-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10-2-200011-2-20011112-1-1-1-1-2011001100000000000
χ2322222-122-122-1-12-122-1-1-1-2-2-12-1211112222-1-1-1-1-2-1-12211-1-1-2-21111022000-1-1-2-2001111-2-1-111-201100-1-100000000000
χ2422222-122-122-1-12-122-1-1-1-2-2-12-121111-2-2-2-21111-2-1-12211-1-1-2-211110-2-2000112200-1-1-1-1-2-1-11120-1-1001100000000000
χ2522222-122-122-1-12-1-2-2-1-1-122-12-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10-2-2000-1-12200-1-1-1-1-21111-2011001100000000000
χ2622222-122-122-1-12-1-2-2-1-1-122-12-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-102200011-2-2001111-2111120-1-100-1-100000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-12-1211112222-1-1-1-1211-2-2-1-1-1-1-2-211110-2-2000-1-1-2-2001111211-1-120-1-1001100000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-12-121111-2-2-2-21111211-2-2-1-1-1-1-2-21111022000112200-1-1-1-1211-1-1-201100-1-100000000000
χ292222-12222-1-122-1-122-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-12002220000-1-10000-1-1-1-1-102002-100-1-1-1-10000-100
χ302222-12222-1-122-1-122-1-1-1222-12-1222200000000222-1-122-1-1-1-1-1-1-1-1-200-2-2-20000110000-1-1-1-1-10-200-210011110000100
χ312222-12222-1-122-1-122-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-11111112002220000-1-100001-1-1110-200-2-100-1-1110000100
χ322222-12222-1-122-1-122-1-1-1-2-22-12-1-2-2-2-200000000-222-1-1-2-2-1-1111111-200-2-2-200001100001-1-1110200210011-1-10000-100
χ332222-12222-1-122-1-1-2-2-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-12002-2-20000-1-10000111110-2002-10011-1-10000100
χ342222-12222-1-122-1-1-2-2-1-1-1222-12-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-200-2220000110000111110200-2100-1-1110000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-11111112002-2-20000-1-10000-111-1-10200-2-10011110000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2000000002-2-21122-1-1111111-200-2220000110000-111-1-10-2002100-1-1-1-10000100
χ372-2-22222-2-2-2-22-2222i−2i-2-220022-2-200002-22-222-2-202i−2i2i−2i002-200000002i−2i0002-20000000002i−2i000000002i−2i00000000000
χ382-2-22222-2-2-2-22-2222i−2i-2-220022-2-20000-22-22-2-22202i−2i2i−2i002-20000000−2i2i000-220000000002i−2i00000000−2i2i00000000000
χ392-2-22222-2-2-2-22-222−2i2i-2-220022-2-200002-22-222-2-20−2i2i−2i2i002-20000000−2i2i0002-2000000000−2i2i00000000−2i2i00000000000
χ402-2-22222-2-2-2-22-222−2i2i-2-220022-2-20000-22-22-2-2220−2i2i−2i2i002-200000002i−2i000-22000000000−2i2i000000002i−2i00000000000
χ412-2-2222-22-2-2-22-22200-2-2200-2-22200002-2-22-2-2220000000-2200000000002-22-20000000000000000000002-200002-2000
χ422-2-2222-22-2-2-22-22200-2-2200-2-22200002-2-22-2-2220000000-220000000000-222-2000000000000000000000-220000-22000
χ432-2-2222-22-2-2-22-22200-2-2200-2-2220000-222-222-2-20000000-2200000000002-2-220000000000000000000002-20000-22000
χ442-2-2222-22-2-2-22-22200-2-2200-2-2220000-222-222-2-20000000-220000000000-22-22000000000000000000000-2200002-2000
χ452-2-222-12-21-2-2-112-12i−2i11-100-121-233−3−32-22-2-1-1110−ii2i−2i−i3i3-110033−3−302i−2i000-11000033−3−30−ii−i3i300−i3i300−ii00000000000
χ462-2-222-12-21-2-2-112-12i−2i11-100-121-233−3−3-22-2211-1-10−ii2i−2i−i3i3-110033−3−30−2i2i0001-10000−3−3330−ii−i3i300i3−i300i−i00000000000
χ472-2-222-12-21-2-2-112-12i−2i11-100-121-2−3−3332-22-2-1-1110−ii2i−2ii3−i3-1100−3−33302i−2i000-110000−3−3330−iii3−i300i3−i300−ii00000000000
χ482-2-222-12-21-2-2-112-12i−2i11-100-121-2−3−333-22-2211-1-10−ii2i−2ii3−i3-1100−3−3330−2i2i0001-1000033−3−30−iii3−i300−i3i300i−i00000000000
χ492-2-222-12-21-2-2-112-1−2i2i11-100-121-233−3−32-22-2-1-1110i−i−2i2ii3−i3-110033−3−30−2i2i000-11000033−3−30i−ii3−i300i3−i300i−i00000000000
χ502-2-222-12-21-2-2-112-1−2i2i11-100-121-233−3−3-22-2211-1-10i−i−2i2ii3−i3-110033−3−302i−2i0001-10000−3−3330i−ii3−i300−i3i300−ii00000000000
χ512-2-222-12-21-2-2-112-1−2i2i11-100-121-2−3−3332-22-2-1-1110i−i−2i2i−i3i3-1100−3−3330−2i2i000-110000−3−3330i−i−i3i300−i3i300i−i00000000000
χ522-2-222-12-21-2-2-112-1−2i2i11-100-121-2−3−333-22-2211-1-10i−i−2i2i−i3i3-1100−3−33302i−2i0001-1000033−3−30i−i−i3i300i3−i300−ii00000000000
χ5344444-2-4-4-244-2-24-200-2-2-2002-42-4000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-200-42-42000000000000000000022000000400-40000002200000000000000-20000000000000
χ564444-24-4-44-2-244-2-200-2-2-200-42-42000000000000000000022000000-4004000000-2-20000000000000020000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-444004-44-4-4-4400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-444004-44-4-4-4400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-200-2-4422-4-2002-22−2i22i20000i2−i2i2−i2000023−2323−23000000000−2i22i2i2−i2i2−i2000000000000i6−i6i6−i6000000000000000000000000
χ6444-4-44-200-2-4422-4-2002-22−2i22i20000i2−i2i2−i20000−2323−2323000000000−2i22i2i2−i2i2−i2000000000000−i6i6−i6i6000000000000000000000000
χ6544-4-44-200-2-4422-4-2002-222i2−2i20000−i2i2−i2i2000023−2323−230000000002i2−2i2−i2i2−i2i2000000000000−i6i6−i6i6000000000000000000000000
χ6644-4-44-200-2-4422-4-2002-222i2−2i20000−i2i2−i2i20000−2323−23230000000002i2−2i2−i2i2−i2i2000000000000i6−i6i6−i6000000000000000000000000
χ6744-4-4-240042-2-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ6844-4-4-240042-2-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ6944-4-4-240042-2-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ7044-4-4-240042-2-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ714-44-44400-44-4-44-44004-4-400000000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ724-44-44400-44-4-44-44004-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ734-44-44-20024-42-2-4-200-222000000i6−i6−i6i6000023−23−232300000000000i6−i6−i6i6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ744-44-44-20024-42-2-4-200-222000000i6−i6−i6i60000−232323−2300000000000i6−i6−i6i600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ754-44-44-20024-42-2-4-200-222000000−i6i6i6−i6000023−23−232300000000000−i6i6i6−i600000000−2i22i200i2−i2−i2i2000000000000000000000000
χ764-44-44-20024-42-2-4-200-222000000−i6i6i6−i60000−232323−2300000000000−i6i6i6−i6000000002i2−2i200−i2i2i2−i2000000000000000000000000
χ774-4-444-2-442-4-4-224-20022-2002-4-2400004-4-4422-2-200000002-2000000000000-2200000000000000000000000000000000
χ784-4-444-2-442-4-4-224-20022-2002-4-240000-444-4-2-22200000002-20000000000002-200000000000000000000000000000000
χ794-4-44-244-4-4224-4-2-24i−4i22-2004-2-4200000000000004i−4i−2i2i00-2200000000000000000000000−2i2i000000000000000000000
χ804-4-44-244-4-4224-4-2-2−4i4i22-2004-2-420000000000000−4i4i2i−2i00-22000000000000000000000002i−2i000000000000000000000
χ814-4-44-24-44-4224-4-2-20022-200-424-200000000000000000002-200000000004-400000000000000000000000-22000000000
χ824-4-44-24-44-4224-4-2-20022-200-424-200000000000000000002-20000000000-44000000000000000000000002-2000000000
χ834-4-44-2-24-4222-22-214i−4i-1-1100-2-2222323−23−23000000000−2i2i−2i2i−2i32i31-100−3−33300000000000000000i−ii3−i30000000000000000000
χ844-4-44-2-24-4222-22-214i−4i-1-1100-2-222−23−232323000000000−2i2i−2i2i2i3−2i31-10033−3−300000000000000000i−i−i3i30000000000000000000
χ854-4-44-2-24-4222-22-21−4i4i-1-1100-2-2222323−23−230000000002i−2i2i−2i2i3−2i31-100−3−33300000000000000000−ii−i3i30000000000000000000
χ864-4-44-2-24-4222-22-21−4i4i-1-1100-2-222−23−2323230000000002i−2i2i−2i−2i32i31-10033−3−300000000000000000−iii3−i30000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-400-44-4444200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-400-44-4444200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4800-8-44-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-4004-444-442002-2-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ928-88-8-4-4004-444-442002-2-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000
χ938-8-88-4-4-88444-44-4200-2-220044-4-40000000000000000000-220000000000000000000000000000000000000000000000

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