Finite Group Databasebeta

← Group #11895360

Character table — Group #11895360

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212444422666612121212121212122244448888121212121212121266666688884466121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-111-1-1-1-111-1-1-1-1111-11111-1-111-1-111111-111-1-11111-1-1111-1-1-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-111-1-1-1-111-1-1-1-1-1-11-111-1-11111-1-111111-111-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-11
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11-1111-111-1-1-1-111111-1
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111111111-1-11-1111111-1-1-1-1-11
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11-111-1111-1-111-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-1-111111-1-111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-111-1-111-1-1-1-111-1111-1-111-1-1111111-11-1-1111111-1-111-11-1-1-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-111-1-111-1-1-1-1-1-1-111111-1-1-1-1111111-11-1-111-1-1-1-1-11-1-1-11-1-11111-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-22222000000-2-2-2-222-2-200-2-20000002222000000000000000000-2-2000000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-2000000-2-2-2-222-2-20022000000-2-2-2-200000000000000000022000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200000022-2-2-2-22200-2200000022-2-2000000000000000000-22000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200000022-2-2-2-222002-2000000-2-2220000000000000000002-2000000000000
χ2122222-12222-1-122-12-12-1-1-1-12222-1-1-10000222222-12-1-1-1-1-1-1220000222200000000-1-1-1-1-1-1000002-1-10000-1-1-1-1-1-10000
χ2222222-12222-1-122-12-12-1-1-1-12222-1-1-10000222222-12-1-1-1-1-1-1-2-20000-2-2-2-200000000-1-1-1-1-1-100000-21100001111110000
χ2322222-12222-1-122-12-12-1-1-1-12222-1-1-10000-2-2-2-2-2-2-12-1-1-1-1-1-1220000-2-2-2-200000000111111000002-1-10000-1-111110000
χ2422222-12222-1-122-12-12-1-1-1-12222-1-1-10000-2-2-2-2-2-2-12-1-1-1-1-1-1-2-2000022220000000011111100000-211000011-1-1-1-10000
χ2522222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-100002-222-2-21-2-1-1111122000022-2-200000000-11-1-11100000-2-1-1000011-1-1110000
χ2622222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-100002-222-2-21-2-1-11111-2-20000-2-22200000000-11-1-111000002110000-1-111-1-10000
χ2722222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-10000-22-2-2221-2-1-11111220000-2-222000000001-111-1-100000-2-1-100001111-1-10000
χ2822222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-10000-22-2-2221-2-1-11111-2-2000022-2-2000000001-111-1-1000002110000-1-1-1-1110000
χ292222-12222222-1-12-1-12-1-1-12-1-1-1-1222222222-1-1-1-12-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-122-1-1-1-100002000-1-1-1-10000000000
χ302222-12222222-1-12-1-12-1-1-12-1-1-1-12222222-2-211112-1-1-1-1-1-1-10022-2-20000-1-1-1-11111-2-211110000-2000-1-1110000000000
χ312222-12222222-1-12-1-12-1-1-12-1-1-1-1222-2-2-2-222-1-1-1-12-1-1-1-1-1-1-100-2-2-2-200001111111122-1-1-1-10000-200011110000000000
χ322222-12222222-1-12-1-12-1-1-12-1-1-1-1222-2-2-2-2-2-211112-1-1-1-1-1-1-100-2-22200001111-1-1-1-1-2-211110000200011-1-10000000000
χ332222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2222200−i3i3−i3i3-2111-1-11100-2-2000000-1-1-1-1−i3−i3i3i300−i3i3−i3i30000000011−i3i30000000000
χ342222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2222200i3−i3i3−i3-2111-1-11100-2-2000000-1-1-1-1i3i3−i3−i300i3−i3i3−i30000000011i3−i30000000000
χ352222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2-2-2-2-200−i3i3−i3i3-2111-1-11100220000001111i3i3−i3−i300−i3i3−i3i300000000-1-1i3−i30000000000
χ362222-1222-2-222-1-12-1-1-2-1-1-1-211-1-122-2-2-2-2-200i3−i3i3−i3-2111-1-11100220000001111−i3−i3i3i300i3−i3i3−i300000000-1-1−i3i30000000000
χ372222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2222-2-22-2-1-111-21-1-11111002-2220000-1-111-1-1-1-12-2-1-1110000-2000-11110000000000
χ382222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2222-2-2-2211-1-1-21-1-11111002-2-2-20000-1-1111111-2211-1-100002000-11-1-10000000000
χ392222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-22-2-2222-2-1-111-21-1-1111100-22-2-2000011-1-111112-2-1-111000020001-1-1-10000000000
χ402222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-22-2-222-2211-1-1-21-1-1111100-2222000011-1-1-1-1-1-1-2211-1-10000-20001-1110000000000
χ412222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-222-2-200−i3i3i3−i32-11111-1-100-22000000-1-111−i3−i3i3i300−i3i3i3−i3000000001-1i3−i30000000000
χ422222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-222-2-200i3−i3−i3i32-11111-1-100-22000000-1-111i3i3−i3−i300i3−i3−i3i3000000001-1−i3i30000000000
χ432222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2-2-22200−i3i3i3−i32-11111-1-1002-200000011-1-1i3i3−i3−i300−i3i3i3−i300000000-11−i3i30000000000
χ442222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-2-2-22200i3−i3−i3i32-11111-1-1002-200000011-1-1−i3−i3i3i300i3−i3−i3i300000000-11i3−i30000000000
χ4522-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-200002-2002i−2i000000002i−2i2i−2i0000002i2i−2i−2i002-200000000000000
χ4622-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-200002-200−2i2i00000000−2i2i−2i2i000000−2i−2i2i2i002-200000000000000
χ4722-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-20000-22002i−2i000000002i−2i2i−2i000000−2i−2i2i2i00-2200000000000000
χ4822-2-22200-222-22-2-2-2202-2-2-22-2000020000000000002-20000-2200−2i2i00000000−2i2i−2i2i0000002i2i−2i−2i00-2200000000000000
χ492-22-2222-200-2-2-222-220-22-20002-22-202i−2i2i−2i00000000002-2000000002−22−22i−2i2i−2i0000000000−i2i2−i2i200000000002−22−2−i2i200
χ502-22-2222-200-2-2-222-220-22-20002-22-202i−2i2i−2i00000000002-200000000−22−222i−2i2i−2i0000000000i2−i2i2−i20000000000−22−22i2−i200
χ512-22-2222-200-2-2-222-220-22-20002-22-20−2i2i−2i2i00000000002-2000000002−22−2−2i2i−2i2i0000000000i2−i2i2−i200000000002−22−2i2−i200
χ522-22-2222-200-2-2-222-220-22-20002-22-20−2i2i−2i2i00000000002-200000000−22−22−2i2i−2i2i0000000000−i2i2−i2i20000000000−22−22−i2i200
χ532-22-222-2200-2-2-222-220-22-2000-22-2202i−2i−2i2i0000000000-22000000002−2−222i−2i−2i2i0000000000−i2i2−i2i200000000002−2−22i2−i200
χ542-22-222-2200-2-2-222-220-22-2000-22-2202i−2i−2i2i0000000000-2200000000−222−22i−2i−2i2i0000000000i2−i2i2−i20000000000−222−2−i2i200
χ552-22-222-2200-2-2-222-220-22-2000-22-220−2i2i2i−2i0000000000-22000000002−2−22−2i2i2i−2i0000000000i2−i2i2−i200000000002−2−22−i2i200
χ562-22-222-2200-2-2-222-220-22-2000-22-220−2i2i2i−2i0000000000-2200000000−222−2−2i2i2i−2i0000000000−i2i2−i2i20000000000−222−2i2−i200
χ5744444-244-4-4-2-244-24-2-4-2-2-22-4-444-2-2200000000002-422-2-2220000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-244-24-24-2-2-22-4-4-4-42220000000000-242222-2-20000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-42222-2-211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22000000−2i32i3−2i32i322-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-220000002i3−2i32i3−2i322-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-200004-4-2-2222211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-20000-4422-2-22211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i32i3−2i3-2-2-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3−2i32i3-2-2-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-444004-44-44-4-4-4404-4-44-440000-4000000000000-4400000000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-224-42-4-20-222-2-44000020000000000002-2000000000000000000000000000000000000000023−2300000000
χ6944-4-44-2004-4-224-42-4-20-222-2-44000020000000000002-20000000000000000000000000000000000000000−232300000000
χ7044-4-44-200-44-224-42-4-20-22224-40000-2000000000000-2200004-40000000000000000000000000000-2200000000000000
χ7144-4-44-200-44-224-42-4-20-22224-40000-2000000000000-220000-4400000000000000000000000000002-200000000000000
χ7244-4-4-24004-44-4-22-42-20-22242-20000-40000000000002-200000000000000000023−23−23230000000000000000000000000000
χ7344-4-4-24004-44-4-22-42-20-22242-20000-40000000000002-2000000000000000000−232323−230000000000000000000000000000
χ7444-4-4-2400-444-4-22-42-20-222-4-2200004000000000000-22000000004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ7544-4-4-2400-444-4-22-42-20-222-4-2200004000000000000-2200000000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ764-44-44-24-40022-44-2-4-202-220004-4-22000000000000000-220000000022−2222−220000000000000000000000000000−22−220000
χ774-44-44-24-40022-44-2-4-202-220004-4-22000000000000000-2200000000−2222−222200000000000000000000000000002−22−20000
χ784-44-44-2-440022-44-2-4-202-22000-442-20000000000000002-20000000022−22−22220000000000000000000000000000−222−20000
χ794-44-44-2-440022-44-2-4-202-22000-442-20000000000000002-200000000−222222−2200000000000000000000000000002−2−220000
χ804-44-4-244-400-4-42-242-202-22000-224-404i−4i4i−4i0000000000-22000000000000−2i2i−2i2i00000000000000000000000000000000
χ814-44-4-244-400-4-42-242-202-22000-224-40−4i4i−4i4i0000000000-220000000000002i−2i2i−2i00000000000000000000000000000000
χ824-44-4-24-4400-4-42-242-202-220002-2-4404i−4i−4i4i00000000002-2000000000000−2i2i2i−2i00000000000000000000000000000000
χ834-44-4-24-4400-4-42-242-202-220002-2-440−4i4i4i−4i00000000002-20000000000002i−2i−2i2i00000000000000000000000000000000
χ844-4-44440000-44-4-4-4440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-44-4-4-4440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-4008-8-44-4444202-2-2-44-400004000000000000-2200000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-88-44-4444202-2-24-440000-40000000000002-200000000000000000000000000000000000000000000000000
χ888-88-8-4-48-800444-4-4420-22-2000-44-440000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-8-4-4-8800444-4-4420-22-20004-44-4000000000000000-22000000000000000000000000000000000000000000000000
χ908-8-888-400004-4-8-848-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000-8844-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004-4444-420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ938-8-88-4-400004-4444-420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000

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