Finite Group Databasebeta

← Group #11870396

Character table — Group #11870396

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424224412121212266121212121212242424242424244444668812122424242466612124468121212121212242424441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111-1-11111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-111111-1111-1-111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111111111-1-1-1111-11-1-1-11111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-11-1-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-1-1111-1-1-1-1-111-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-11-1-1111111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111-1-1-111-111-1-1-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111111-1-1-1-1-111111-1-11111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000002-200002200-2-2000000000002000000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-22000022002200000000000-20000000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-20000002-20000-2-200-2-20000000000020000000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000-220000-2-2002200000000000-2000000000-2200000
χ2122222-1222-12-1-12-122-1-1-1222-1-1222220000000022222-1-1-1-1-1-1-1-1-1-12200220000-1-10000-1-1-1-1-102-1200-1-100-1-10000-100
χ2222222-1222-12-1-12-122-1-1-1222-1-1222220000000022222-1-1-1-1-1-1-1-1-1-1-2-200-2-20000110000-1-1-1-1-10-21-2001100110000100
χ2322222-1222-12-1-12-122-1-1-1-2-22-1-12-2-2-2-200000000-2-2-222-1-1-1-11111112200220000-1-10000111-1-10-2-1-200-1-100110000100
χ2422222-1222-12-1-12-122-1-1-1-2-22-1-12-2-2-2-200000000-2-2-222-1-1-1-1111111-2-200-2-20000110000111-1-10212001100-1-10000-100
χ2522222-1222-12-1-12-1-2-2-1-1-1222-1-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12200-2-20000-1-10000111110-2-12001100-1-10000100
χ2622222-1222-12-1-12-1-2-2-1-1-1222-1-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-20022000011000011111021-200-1-100110000-100
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000222-2-211-1-11111112200-2-20000-1-10000-1-1-11102-1-2001100110000-100
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000222-2-211-1-1111111-2-200220000110000-1-1-1110-21200-1-100-1-10000100
χ292222-1222-12-122-1-122-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-1002200-1-12200-1-1-1-12-1-1-1-12000-1-100-1-1000000000
χ302222-1222-12-122-1-122-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-100-2-20011-2-20011112-1-1-1-1-2000110011000000000
χ312222-1222-12-122-1-122-1-1-1-2-2-122-111112222-1-1-1-1-211-1-122-1-1-2-21111002200-1-1-2-2001111-211-1-1-2000-1-10011000000000
χ322222-1222-12-122-1-122-1-1-1-2-2-122-11111-2-2-2-21111-211-1-122-1-1-2-2111100-2-200112200-1-1-1-1-211-1-120001100-1-1000000000
χ332222-1222-12-122-1-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-100-2-200-1-12200-1-1-1-1-21111-2000110011000000000
χ342222-1222-12-122-1-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-100220011-2-2001111-211112000-1-100-1-1000000000
χ352222-1222-12-122-1-1-2-2-1-1-1-2-2-122-111112222-1-1-1-12-1-111-2-2-1-1-2-2111100-2-200-1-1-2-20011112-1-11120001100-1-1000000000
χ362222-1222-12-122-1-1-2-2-1-1-1-2-2-122-11111-2-2-2-211112-1-111-2-2-1-1-2-21111002200112200-1-1-1-12-1-111-2000-1-10011000000000
χ3722-2-2222-2-22-2-2-22200-22-200-22-2200002-22-222-2-20000000-2200000000002i−2i2-200000000000000000002i−2i0000002i−2i000
χ3822-2-2222-2-22-2-2-22200-22-200-22-2200002-22-222-2-20000000-220000000000−2i2i2-20000000000000000000−2i2i000000−2i2i000
χ3922-2-2222-2-22-2-2-22200-22-200-22-220000-22-22-2-2220000000-2200000000002i−2i-2200000000000000000002i−2i000000−2i2i000
χ4022-2-2222-2-22-2-2-22200-22-200-22-220000-22-22-2-2220000000-220000000000−2i2i-220000000000000000000−2i2i0000002i−2i000
χ4122-2-222-22-22-2-2-2222i−2i-22-2002-22-200002-2-22-2-2220002i−2i2i−2i2-2000000002i−2i002-2000000000002i−2i00002i−2i0000000000000
χ4222-2-222-22-22-2-2-2222i−2i-22-2002-22-20000-222-222-2-20002i−2i2i−2i2-200000000−2i2i00-22000000000002i−2i0000−2i2i0000000000000
χ4322-2-222-22-22-2-2-222−2i2i-22-2002-22-200002-2-22-2-222000−2i2i−2i2i2-200000000−2i2i002-200000000000−2i2i0000−2i2i0000000000000
χ4422-2-222-22-22-2-2-222−2i2i-22-2002-22-20000-222-222-2-2000−2i2i−2i2i2-2000000002i−2i00-2200000000000−2i2i00002i−2i0000000000000
χ4522-2-2-12-22121-2-2-1-12i−2i1-1100-1-22133−3−32-2-2211-1-10−i3i3−ii2i−2i-110033−3−3002i−2i00-11000033−3−30−i3i3−ii0000−ii00−i3i3000000000
χ4622-2-2-12-22121-2-2-1-12i−2i1-1100-1-22133−3−3-222-2-1-1110−i3i3−ii2i−2i-110033−3−300−2i2i001-10000−3−3330−i3i3−ii0000i−i00i3−i3000000000
χ4722-2-2-12-22121-2-2-1-12i−2i1-1100-1-221−3−3332-2-2211-1-10i3−i3−ii2i−2i-1100−3−333002i−2i00-110000−3−3330i3−i3−ii0000−ii00i3−i3000000000
χ4822-2-2-12-22121-2-2-1-12i−2i1-1100-1-221−3−333-222-2-1-1110i3−i3−ii2i−2i-1100−3−33300−2i2i001-1000033−3−30i3−i3−ii0000i−i00−i3i3000000000
χ4922-2-2-12-22121-2-2-1-1−2i2i1-1100-1-22133−3−32-2-2211-1-10i3−i3i−i−2i2i-110033−3−300−2i2i00-11000033−3−30i3−i3i−i0000i−i00i3−i3000000000
χ5022-2-2-12-22121-2-2-1-1−2i2i1-1100-1-22133−3−3-222-2-1-1110i3−i3i−i−2i2i-110033−3−3002i−2i001-10000−3−3330i3−i3i−i0000−ii00−i3i3000000000
χ5122-2-2-12-22121-2-2-1-1−2i2i1-1100-1-221−3−3332-2-2211-1-10−i3i3i−i−2i2i-1100−3−33300−2i2i00-110000−3−3330−i3i3i−i0000i−i00−i3i3000000000
χ5222-2-2-12-22121-2-2-1-1−2i2i1-1100-1-221−3−333-222-2-1-1110−i3i3i−i−2i2i-1100−3−333002i−2i001-1000033−3−30−i3i3i−i0000−ii00i3−i3000000000
χ5344444-2-4-44-24-2-24-200-2-2-200-422-40000000000000000000220000004-4000000002200000000000-20000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-200-422-4000000000000000000022000000-4400000000-2-20000000000020000000000000000
χ554444-24-4-4-24-244-2-200-2-2-2002-4-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ564444-24-4-4-24-244-2-200-2-2-2002-4-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-44-24-4-4-2-4224-2002-2200-4-22400000000000000000002-200000000004i−4i000000000000000000000−2i2i00000000000
χ6244-4-44-24-4-4-2-4224-2002-2200-4-22400000000000000000002-20000000000−4i4i0000000000000000000002i−2i00000000000
χ6344-4-44-2-44-4-2-4224-24i−4i2-220042-2-40000000000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000
χ6444-4-44-2-44-4-2-4224-2−4i4i2-220042-2-4000000000000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000
χ6544-4-4-244-4242-4-4-2-2002-220024-4-200004-44-4-2-22200000002-2000000000000-2200000000000000000000000000000000
χ6644-4-4-244-4242-4-4-2-2002-220024-4-20000-44-4422-2-200000002-20000000000002-200000000000000000000000000000000
χ6744-4-4-2-2-442-2222-214i−4i-11-100-22-222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i3−i3i−i0000000000000000000
χ6844-4-4-2-2-442-2222-214i−4i-11-100-22-22−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000−i3i3i−i0000000000000000000
χ6944-4-4-2-2-442-2222-21−4i4i-11-100-22-222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−i3i3−ii0000000000000000000
χ7044-4-4-2-2-442-2222-21−4i4i-11-100-22-22−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000i3−i3−ii0000000000000000000
χ714-44-444004-4-4-44-4400-4-4400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ724-44-444004-4-4-44-4400-4-44000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ734-44-4-2400-2-42-442-20022-2000000i6−i6i6−i6000023−2323−2300000000000i6−i6i6−i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-44-4-2400-2-42-442-20022-2000000i6−i6i6−i60000−2323−232300000000000i6−i6i6−i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ754-44-4-2400-2-42-442-20022-2000000−i6i6−i6i6000023−2323−2300000000000−i6i6−i6i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ764-44-4-2400-2-42-442-20022-2000000−i6i6−i6i60000−2323−232300000000000−i6i6−i6i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-4-444400-4-444-4-44004-4-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-444400-4-444-4-44004-4-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-200-424-22-4-200-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000000023−230000000000000000000i6−i60000000
χ804-4-444-200-424-22-4-200-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000000000−23230000000000000000000−i6i60000000
χ814-4-444-200-424-22-4-200-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000000023−230000000000000000000−i6i60000000
χ824-4-444-200-424-22-4-200-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000000000−23230000000000000000000i6−i60000000
χ834-4-44-24002-4-24-42-200-222−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ844-4-44-24002-4-24-42-200-222−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ854-4-44-24002-4-24-42-200-2222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ864-4-44-24002-4-24-42-200-2222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-84-4444-4200-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-88-40084-84-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-44200-2-220000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ918-88-8-4-400-4444-44200-2-22000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ928-8-88-4-40044-4-4442002-2-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-40044-4-4442002-2-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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