Finite Group Databasebeta

← Group #11870385

Character table — Group #11870385

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424224466664121212121212121224242424242424444488121212122424242412121212124468121212121212242424441228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111111-1111-1-1-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-11-111-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1111111-111-1-11-11-1-1-11111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-11-1-111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-111-1-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11-1-111111-1-1-111-1-1-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-11-1-1111111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-11111111-1-111-111-111-1-1-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-111111-1-111-1-1-1111-1-1111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-20000-2-2-2-2000000000002000000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-20020000-2-22200000000000-20000000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-2000022-2-20000000000020000000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-20020000222200000000000-2000000000-2200000
χ2122222-1222-12-1-12-122-1-1-122-122-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-100002222-1-100-1-1-1-12-1-1-1-12000-1-1-1-100000000000
χ2222222-1222-12-1-12-122-1-1-122-122-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-10000-2-2-2-2110011112-1-1-1-1-2000111100000000000
χ2322222-1222-12-1-12-122-1-1-1-2-2-122-111112222-1-1-1-1-222-1-111-1-1-2-21111000022-2-2-1-1001111-2-1-111-2000-1-11100000000000
χ2422222-1222-12-1-12-122-1-1-1-2-2-122-11111-2-2-2-21111-222-1-111-1-1-2-211110000-2-2221100-1-1-1-1-2-1-111200011-1-100000000000
χ2522222-1222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-10000-2-222-1-100-1-1-1-1-21111-2000111100000000000
χ2622222-1222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1000022-2-211001111-211112000-1-1-1-100000000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-122-111112222-1-1-1-12-2-211-1-1-1-1-2-211110000-2-2-2-2-1-1001111211-1-1200011-1-100000000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-122-11111-2-2-2-211112-2-211-1-1-1-1-2-21111000022221100-1-1-1-1211-1-1-2000-1-11100000000000
χ292222-1222-12-122-1-122-1-1-1222-1-122222000000002-1-12222-1-1-1-1-1-1-1-12222000000-1-10000-1-1-1-1-102-120000-1-1-1-10000-100
χ302222-1222-12-122-1-122-1-1-1222-1-122222000000002-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000110000-1-1-1-1-10-21-2000011110000100
χ312222-1222-12-122-1-122-1-1-1-2-22-1-12-2-2-2-200000000-2-1-122-2-2-1-11111112222000000-1-100001-1-1110-2-1-20000-1-1110000100
χ322222-1222-12-122-1-122-1-1-1-2-22-1-12-2-2-2-200000000-2-1-122-2-2-1-1111111-2-2-2-20000001100001-1-1110212000011-1-10000-100
χ332222-1222-12-122-1-1-2-2-1-1-1222-1-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-12-2-22000000-1-10000111110-2-12000011-1-10000100
χ342222-1222-12-122-1-1-2-2-1-1-1222-1-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-222-200000011000011111021-20000-1-1110000-100
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000211-2-222-1-11111112-2-22000000-1-10000-111-1-102-1-2000011110000-100
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000211-2-222-1-1111111-222-2000000110000-111-1-10-2120000-1-1-1-10000100
χ372-22-2222-2-22-2-2-2222i−2i2-2-200-22-2200002-22-222-2-202i−2i2i−2i00-2200000000002i−2i002-200000002i−2i0000002i−2i0000000000000
χ382-22-2222-2-22-2-2-2222i−2i2-2-200-22-220000-22-22-2-22202i−2i2i−2i00-220000000000−2i2i00-2200000002i−2i000000−2i2i0000000000000
χ392-22-2222-2-22-2-2-222−2i2i2-2-200-22-2200002-22-222-2-20−2i2i−2i2i00-220000000000−2i2i002-20000000−2i2i000000−2i2i0000000000000
χ402-22-2222-2-22-2-2-222−2i2i2-2-200-22-220000-22-22-2-2220−2i2i−2i2i00-2200000000002i−2i00-220000000−2i2i0000002i−2i0000000000000
χ412-22-222-22-22-2-2-222002-2-2002-22-200002-2-2222-2-200000002-200000002i−2i00000-2200000000000000000002i−2i00002i−2i000
χ422-22-222-22-22-2-2-222002-2-2002-22-200002-2-2222-2-200000002-20000000−2i2i00000-220000000000000000000−2i2i0000−2i2i000
χ432-22-222-22-22-2-2-222002-2-2002-22-20000-222-2-2-22200000002-200000002i−2i000002-200000000000000000002i−2i0000−2i2i000
χ442-22-222-22-22-2-2-222002-2-2002-22-20000-222-2-2-22200000002-20000000−2i2i000002-20000000000000000000−2i2i00002i−2i000
χ452-22-22-12-2-2-1-2112-12i−2i-1110012-2-1−i3−i3i3i32-22-2-1-11102i−2i−ii3−31-100−i3−i3i3i300002i−2i00-1100−i3−i3i3i30−ii3−30000−ii3−300000000000
χ462-22-22-12-2-2-1-2112-12i−2i-1110012-2-1−i3−i3i3i3-22-2211-1-102i−2i−ii3−31-100−i3−i3i3i30000−2i2i001-100i3i3−i3−i30−ii3−30000i−i−3300000000000
χ472-22-22-12-2-2-1-2112-12i−2i-1110012-2-1i3i3−i3−i32-22-2-1-11102i−2i−ii−331-100i3i3−i3−i300002i−2i00-1100i3i3−i3−i30−ii−330000−ii−3300000000000
χ482-22-22-12-2-2-1-2112-12i−2i-1110012-2-1i3i3−i3−i3-22-2211-1-102i−2i−ii−331-100i3i3−i3−i30000−2i2i001-100−i3−i3i3i30−ii−330000i−i3−300000000000
χ492-22-22-12-2-2-1-2112-1−2i2i-1110012-2-1−i3−i3i3i32-22-2-1-1110−2i2ii−i−331-100−i3−i3i3i30000−2i2i00-1100−i3−i3i3i30i−i−330000i−i−3300000000000
χ502-22-22-12-2-2-1-2112-1−2i2i-1110012-2-1−i3−i3i3i3-22-2211-1-10−2i2ii−i−331-100−i3−i3i3i300002i−2i001-100i3i3−i3−i30i−i−330000−ii3−300000000000
χ512-22-22-12-2-2-1-2112-1−2i2i-1110012-2-1i3i3−i3−i32-22-2-1-1110−2i2ii−i3−31-100i3i3−i3−i30000−2i2i00-1100i3i3−i3−i30i−i3−30000i−i3−300000000000
χ522-22-22-12-2-2-1-2112-1−2i2i-1110012-2-1i3i3−i3−i3-22-2211-1-10−2i2ii−i3−31-100i3i3−i3−i300002i−2i001-100−i3−i3i3i30i−i3−30000−ii−3300000000000
χ5344444-2-4-44-24-2-24-200-2-2-2002-4-42000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-2002-4-420000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ554444-24-4-4-24-244-2-200-2-2-200-422-4000000000000000000022000000400-40000002200000000000-20000000000000000
χ564444-24-4-4-24-244-2-200-2-2-200-422-4000000000000000000022000000-4004000000-2-20000000000020000000000000000
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
χ6144-4-44400-4-444-4-4400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-44400-4-444-4-4400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-200-424-22-4-2002-22−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ6444-4-44-200-424-22-4-2002-22−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ6544-4-44-200-424-22-4-2002-222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ6644-4-44-200-424-22-4-2002-222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ6744-4-4-24002-4-24-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ6844-4-4-24002-4-24-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ6944-4-4-24002-4-24-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ7044-4-4-24002-4-24-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ714-44-44-2-44-4-2-4224-200-22200-2-44200004-4-44-2-2220000000-22000000000000002-2000000000000000000000000000000
χ724-44-44-2-44-4-2-4224-200-22200-2-4420000-444-422-2-20000000-2200000000000000-22000000000000000000000000000000
χ734-44-4-244-4242-4-4-2-24i−4i-22200-4-2240000000000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000
χ744-44-4-244-4242-4-4-2-2−4i4i-22200-4-22400000000000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000
χ754-44-4-24-44242-4-4-2-200-2220042-2-40000000000000000000-2200000004i−4i00000000000000000000000000−2i2i000000000
χ764-44-4-24-44242-4-4-2-200-2220042-2-40000000000000000000-220000000−4i4i000000000000000000000000002i−2i000000000
χ774-44-4-2-24-42-2222-214i−4i1-1-1002-22-2−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ784-44-4-2-24-42-2222-214i−4i1-1-1002-22-22i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ794-44-4-2-24-42-2222-21−4i4i1-1-1002-22-2−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ804-44-4-2-24-42-2222-21−4i4i1-1-1002-22-22i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ814-4-4444004-4-4-44-4400-4-44000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ824-4-4444004-4-4-44-4400-4-440000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ834-4-444-20042-42-2-4-20022-20000006−6−660000−2i32i32i3−2i3000000000006−6−66000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ844-4-444-20042-42-2-4-20022-20000006−6−6600002i3−2i3−2i32i3000000000006−6−660000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ854-4-444-20042-42-2-4-20022-2000000−666−60000−2i32i32i3−2i300000000000−666−60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ864-4-444-20042-42-2-4-20022-2000000−666−600002i3−2i3−2i32i300000000000−666−6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-40044-4-444200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-40044-4-444200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4-4-884-4444-42002-2-200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ918-8-88-4800-4-84-884-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400-4444-44200-2-2200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-400-4444-44200-2-22000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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