Finite Group Databasebeta

← Group #11866338

Character table — Group #11866338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424224466662661212121212122424242424244444448812121212242424246661212246681212121212242444441228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-111-1-1-1-1-1-111111-11-1-11111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-11-1-1-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1111-111-1111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111111-1-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-11-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-111-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-111-1-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-11-111111-1-1-111-111-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11111-1-1-11-1-1-1-11-1-1111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1-1-1111-111111-1-11-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11111111-1-1-11-1-1-1-1-1111-1-1-111-11-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000002-200-2-2-2-2000000000000000020000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-20000000000-220022-2-20000000000000000-20000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-200-2-222000000000000000020000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-20000000000-220022220000000000000000-20000-2002000
χ2122222-122-1-1222-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-12-1-1-1-120-1-10000-1-1000000000
χ2222222-122-1-1222-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-20000-2-2001111112-1-1-1-1-2011000011000000000
χ2322222-122-1-1222-1-122-1-1-1-2-22-12-111112222-1-1-1-1-21122-1-1-1-1-2-21111220000-2-200-1-11111-211-1-1-20110000-1-1000000000
χ2422222-122-1-1222-1-122-1-1-1-2-22-12-11111-2-2-2-21111-21122-1-1-1-1-2-21111-2-20000220011-1-1-1-1-211-1-120-1-1000011000000000
χ2522222-122-1-1222-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1-2-200002200-1-1-1-1-1-1-21111-2011000011000000000
χ2622222-122-1-1222-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1220000-2-200111111-2111120-1-10000-1-1000000000
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-1-1-2-211-1-1-2-21111-2-20000-2-200-1-111112-1-11120-1-1000011000000000
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-1-1-2-211-1-1-2-21111220000220011-1-1-1-12-1-111-20110000-1-1000000000
χ292222-122222-1-1-12-122-1-1-122-12-12222200000000222-1-122-1-1-1-1-1-1-1-100222200-1-1000000-1-1-1-1-102002-1-1-100-1-10000-100
χ302222-122222-1-1-12-122-1-1-122-12-12222200000000222-1-122-1-1-1-1-1-1-1-100-2-2-2-20011000000-1-1-1-1-10-200-211100110000100
χ312222-122222-1-1-12-122-1-1-1-2-2-12-12-2-2-2-200000000-2-2-2-1-122-1-111111100222200-1-1000000111-1-10-200-2-1-1-100110000100
χ322222-122222-1-1-12-122-1-1-1-2-2-12-12-2-2-2-200000000-2-2-2-1-122-1-111111100-2-2-2-20011000000111-1-10200211100-1-10000-100
χ332222-122222-1-1-12-1-2-2-1-1-122-12-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-10022-2-20011000000111110200-2-1-1100110000-100
χ342222-122222-1-1-12-1-2-2-1-1-122-12-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-100-2-22200-1-1000000111110-200211-100-1-10000100
χ352222-122222-1-1-12-1-2-2-1-1-1-2-2-12-12-2-2-2-20000000022211-2-2-1-11111110022-2-20011000000-1-1-1110-2002-1-1100-1-10000100
χ362222-122222-1-1-12-1-2-2-1-1-1-2-2-12-12-2-2-2-20000000022211-2-2-1-111111100-2-22200-1-1000000-1-1-1110200-211-100110000-100
χ3722-2-2222-2-2-2-22-22200-2-220022-2-200002-22-222-2-200000002-2000000002i−2i0000002-2000000000000002i−2i0000002i−2i0000
χ3822-2-2222-2-2-2-22-22200-2-220022-2-200002-22-222-2-200000002-200000000−2i2i0000002-200000000000000−2i2i000000−2i2i0000
χ3922-2-2222-2-2-2-22-22200-2-220022-2-20000-22-22-2-22200000002-2000000002i−2i000000-22000000000000002i−2i000000−2i2i0000
χ4022-2-2222-2-2-2-22-22200-2-220022-2-20000-22-22-2-22200000002-200000000−2i2i000000-2200000000000000−2i2i0000002i−2i0000
χ4122-2-222-22-2-2-22-2222-2-2-2200-2-22200002-2-2222-2-20002-22-2-220000002-200000000-2200000002-2000000002-2000000000
χ4222-2-222-22-2-2-22-2222-2-2-2200-2-2220000-222-2-2-2220002-22-2-22000000-22000000002-200000002-200000000-22000000000
χ4322-2-222-22-2-2-22-222-22-2-2200-2-22200002-2-2222-2-2000-22-22-22000000-2200000000-220000000-2200000000-22000000000
χ4422-2-222-22-2-2-22-222-22-2-2200-2-2220000-222-2-2-222000-22-22-220000002-2000000002-20000000-22000000002-2000000000
χ4522-2-22-1-2211-22-2-1-12-211-100-212-1−i3−i3i3i32-2-22-1-1110−i3i32-2-111-100−i3−i3i3i32-2000000001-1−i3−i3i3i30−i3i3-1100−i3i30000-11000000000
χ4622-2-22-1-2211-22-2-1-12-211-100-212-1−i3−i3i3i3-222-211-1-10−i3i32-2-111-100−i3−i3i3i3-2200000000-11i3i3−i3−i30−i3i3-1100i3−i300001-1000000000
χ4722-2-22-1-2211-22-2-1-12-211-100-212-1i3i3−i3−i32-2-22-1-1110i3−i32-2-111-100i3i3−i3−i32-2000000001-1i3i3−i3−i30i3−i3-1100i3−i30000-11000000000
χ4822-2-22-1-2211-22-2-1-12-211-100-212-1i3i3−i3−i3-222-211-1-10i3−i32-2-111-100i3i3−i3−i3-2200000000-11−i3−i3i3i30i3−i3-1100−i3i300001-1000000000
χ4922-2-22-1-2211-22-2-1-1-2211-100-212-1−i3−i3i3i32-2-22-1-1110i3−i3-221-11-100−i3−i3i3i3-22000000001-1−i3−i3i3i30i3−i31-100i3−i300001-1000000000
χ5022-2-22-1-2211-22-2-1-1-2211-100-212-1−i3−i3i3i3-222-211-1-10i3−i3-221-11-100−i3−i3i3i32-200000000-11i3i3−i3−i30i3−i31-100−i3i30000-11000000000
χ5122-2-22-1-2211-22-2-1-1-2211-100-212-1i3i3−i3−i32-2-22-1-1110−i3i3-221-11-100i3i3−i3−i3-22000000001-1i3i3−i3−i30−i3i31-100−i3i300001-1000000000
χ5222-2-22-1-2211-22-2-1-1-2211-100-212-1i3i3−i3−i3-222-211-1-10−i3i3-221-11-100i3i3−i3−i32-200000000-11−i3−i3i3i30−i3i31-100i3−i30000-11000000000
χ5344444-2-4-4-2-2444-2-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ554444-24-4-444-2-2-24-200-2-2-2002-42-400000000000000000002200000000004-40022000000000000000000-200000000000
χ564444-24-4-444-2-2-24-200-2-2-2002-42-40000000000000000000220000000000-4400-2-2000000000000000000200000000000
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
χ6144-4-44-24-422-44-4-2-20022-2004-2-4200004-44-4-2-2220000000-220000000000000000-220000000000000000000000000000
χ6244-4-44-24-422-44-4-2-20022-2004-2-420000-44-4422-2-20000000-2200000000000000002-20000000000000000000000000000
χ6344-4-4-244-4-4-42-224-20022-200-242-40000000000000000000-22000000004i−4i0000000000000000000000−2i2i000000000000
χ6444-4-4-244-4-4-42-224-20022-200-242-40000000000000000000-2200000000−4i4i00000000000000000000002i−2i000000000000
χ6544-4-4-24-44-4-42-224-24-422-2002-4-24000000000000000-224-42-20000000000000000000000000-220000000000000000000
χ6644-4-4-24-44-4-42-224-2-4422-2002-4-240000000000000002-2-442-200000000000000000000000002-20000000000000000000
χ6744-4-4-2-2-44222-22-214-4-1-110022-2-2−2i3−2i32i32i3000000000−2i32i3-22-22-1100i3i3−i3−i300000000000000000i3−i31-10000000000000000000
χ6844-4-4-2-2-44222-22-214-4-1-110022-2-22i32i3−2i3−2i30000000002i3−2i3-22-22-1100−i3−i3i3i300000000000000000−i3i31-10000000000000000000
χ6944-4-4-2-2-44222-22-21-44-1-110022-2-2−2i3−2i32i32i30000000002i3−2i32-22-2-1100i3i3−i3−i300000000000000000−i3i3-110000000000000000000
χ7044-4-4-2-2-44222-22-21-44-1-110022-2-22i32i3−2i3−2i3000000000−2i32i32-22-2-1100−i3−i3i3i300000000000000000i3−i3-110000000000000000000
χ714-44-444004-4-4-44-44004-4-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-444004-4-4-44-44004-4-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-44-44-200-22-4-442-200-222−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ744-44-44-200-22-4-442-200-222−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ754-44-44-200-22-4-442-200-2222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ764-44-44-200-22-4-442-200-2222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ774-44-4-24004-422-2-4-200-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000023−23000000000000000000000i6−i60000000
χ784-44-4-24004-422-2-4-200-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i200000000−2323000000000000000000000−i6i60000000
χ794-44-4-24004-422-2-4-200-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000023−23000000000000000000000−i6i60000000
χ804-44-4-24004-422-2-4-200-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i200000000−2323000000000000000000000i6−i60000000
χ814-4-444400-444-4-4-4400-44-4000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ824-4-444400-444-4-4-4400-44-40000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ834-4-444-2002-24-4-42-2002-220000006−6−660000−2i32i32i3−2i3000000000006−6−66000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ844-4-444-2002-24-4-42-2002-220000006−6−6600002i3−2i3−2i32i3000000000006−6−660000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ854-4-444-2002-24-4-42-2002-22000000−666−60000−2i32i32i3−2i300000000000−666−60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ864-4-444-2002-24-4-42-2002-22000000−666−600002i3−2i3−2i32i300000000000−666−6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-8444-44-4200-2-2200-4-44400000000000000000002-20000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-442002-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ908-88-8-4-400-4444-442002-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ918-8-88-4800-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-4-4444200-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-4004-4-4444200-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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