Finite Group Databasebeta

← Group #11895384

Character table — Group #11895384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212444444121212121212121212121212224444666688881212121212121212121288882466121212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-11-1-11-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-111-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-111-1111111111-1-111-1-11-111-1-11111-1-1-1-1-1111-1-111-1-1-1-1-11
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-111-11-1-11111-1-11111-1-11-111-1-1-1-1-1-11-111-1-1-11-1-1-1-111111-1
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-1-11-1-1-111111-1-11111-11
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-11-1-11111111111-1-1-111111-1-1-1-11-1
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-1-11-1-1111-11111-1-1111-1
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1111-111-1-1111111111-1-1-111-1-111-1-1-11
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-1111-1111111-1-111-1-111-11-1-1111111-1-1-1-1111-1-1-1-1-111-1-11-1
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-1111-1-1-1111111-1-1-1-111-11-1-111-1-1-1-11-1111-1-1-1-1-111-1-111-11
χ1722222222-2-22222222-2222-2-2-22222-2222200-2-20000-2-222-2-200-2-20000000000222200000000000000-200-20000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-200-2-20000-2-222-2-200220000000000-2-2-2-20000000000000020020000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-2-2-222002-2000000000022-2-200000000000000200-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-2-2-22200-220000000000-2-22200000000000000-20020000000000
χ2122222-122222-122-1-1-12-1-1-12-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-10000-1-1-1-122-1-1-1-100000200-100-1-1-100000000
χ2222222-122222-122-1-1-12-1-1-12-1-122-1-122222-2-22-11111-1-1-1-1-1-1-2-2220011110000-1-1-1-1-2-2111100000-200-100-11100000000
χ2322222-122222-122-1-1-12-1-1-12-1-122-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011110000111122-1-1-1-100000-20010011100000000
χ2422222-122222-122-1-1-12-1-1-12-1-122-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-122-2-200-1-1-1-100001111-2-21111000002001001-1-100000000
χ2522222-122-2-22-122-1-1-1-2-1-1-1-21122-1-1-2222200-21−i3i3−i3i311-1-11100-2-200−i3−i3i3i30000-1-1-1-100−i3i3−i3i3000000001001−i3i300000000
χ2622222-122-2-22-122-1-1-1-2-1-1-1-21122-1-1-2222200-21i3−i3i3−i311-1-11100-2-200i3i3−i3−i30000-1-1-1-100i3−i3i3−i3000000001001i3−i300000000
χ2722222-122-2-22-122-1-1-1-2-1-1-1-21122-1-1-2-2-2-2-200-21−i3i3−i3i311-1-111002200i3i3−i3−i30000111100−i3i3−i3i300000000-100-1i3−i300000000
χ2822222-122-2-22-122-1-1-1-2-1-1-1-21122-1-1-2-2-2-2-200-21i3−i3i3−i311-1-111002200−i3−i3i3i30000111100i3−i3i3−i300000000-100-1−i3i300000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-12-1-1-2-211222-2-22-2-21-1-111-1-1111122-2200-1-1-1-10000-1-1112-2-1-11100000-200100-11100000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-12-1-1-2-211222-2-2-22-2111-1-1-1-11111-2-2-220011110000-1-111-2211-1-100000200100-1-1-100000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-12-1-1-2-2112-2-2222-2-21-1-111-1-11111-2-22-2001111000011-1-12-2-1-11100000200-1001-1-100000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-12-1-1-2-2112-2-222-22-2111-1-1-1-11111222-200-1-1-1-1000011-1-1-2211-1-100000-200-10011100000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-1-211-2-211-222-2-2002-1−i3i3i3−i31111-1-1002-200−i3−i3i3i30000-1-11100−i3i3i3−i300000000-1001i3−i300000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-1-211-2-211-222-2-2002-1i3−i3−i3i31111-1-1002-200i3i3−i3−i30000-1-11100i3−i3−i3i300000000-1001−i3i300000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-1-211-2-211-2-2-222002-1−i3i3i3−i31111-1-100-2200i3i3−i3−i3000011-1-100−i3i3i3−i300000000100-1−i3i300000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-1-211-2-211-2-2-222002-1i3−i3−i3i31111-1-100-2200−i3−i3i3i3000011-1-100i3−i3−i3i300000000100-1i3−i300000000
χ372222-122222-12-1-122-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1000022000022220000-1-1-1-1-1-1000020-1-10-1-1000-1-1-1-10000
χ382222-122222-12-1-122-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-10000-2-20000-2-2-2-20000-1-1-1-1-1-10000-201101100011110000
χ392222-122222-12-1-122-12-1-1-1-122-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000220000-2-2-2-20000111111000020-1-10-1-100011110000
χ402222-122222-12-1-122-12-1-1-1-122-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000-2-20000222200001111110000-2011011000-1-1-1-10000
χ412222-12-2-222-12-1-122-1-2-1-1-1-12211-2-2-100002-21-222-2-2-1-11111000022000022-2-20000-11-1-1110000-20110-1-1000-1-1110000
χ422222-12-2-222-12-1-122-1-2-1-1-1-12211-2-2-100002-21-222-2-2-1-111110000-2-20000-2-2220000-11-1-111000020-1-101100011-1-10000
χ432222-12-2-222-12-1-122-1-2-1-1-1-12211-2-2-10000-221-2-2-222-1-111110000220000-2-22200001-111-1-10000-20110-1-100011-1-10000
χ442222-12-2-222-12-1-122-1-2-1-1-1-12211-2-2-10000-221-2-2-222-1-111110000-2-2000022-2-200001-111-1-1000020-1-1011000-1-1110000
χ4522-2-2222i−2i00-2-22-22-220-22-20002i−2i2i−2i02-22i−2i00000000002i−2i000000000000−i2i22−22-22i−2i000000−i2−i2i2i20000000000−i2i22−22−200
χ4622-2-2222i−2i00-2-22-22-220-22-20002i−2i2i−2i02-22i−2i00000000002i−2i000000000000i2−i2−222-22i−2i000000i2i2−i2−i20000000000i2−i2−22−2200
χ4722-2-2222i−2i00-2-22-22-220-22-20002i−2i2i−2i0-22−2i2i00000000002i−2i000000000000−i2i22−2-22−2i2i000000i2i2−i2−i20000000000−i2i22−2−2200
χ4822-2-2222i−2i00-2-22-22-220-22-20002i−2i2i−2i0-22−2i2i00000000002i−2i000000000000i2−i2−22-22−2i2i000000−i2−i2i2i20000000000i2−i2−222−200
χ4922-2-222−2i2i00-2-22-22-220-22-2000−2i2i−2i2i02-2−2i2i0000000000−2i2i000000000000−i2i2−222-2−2i2i000000−i2−i2i2i20000000000−i2i2−22−2200
χ5022-2-222−2i2i00-2-22-22-220-22-2000−2i2i−2i2i02-2−2i2i0000000000−2i2i000000000000i2−i22−22-2−2i2i000000i2i2−i2−i20000000000i2−i22−22−200
χ5122-2-222−2i2i00-2-22-22-220-22-2000−2i2i−2i2i0-222i−2i0000000000−2i2i000000000000−i2i2−22-222i−2i000000i2i2−i2−i20000000000−i2i2−222−200
χ5222-2-222−2i2i00-2-22-22-220-22-2000−2i2i−2i2i0-222i−2i0000000000−2i2i000000000000i2−i22−2-222i−2i000000−i2−i2i2i20000000000i2−i22−2−2200
χ532-22-22200-2222-2-2-2-2202-2-2-22-2000020000000000002-200002-2002i−2i2-22-2000000000000002i−2i2i−2i000002i−2i00000000000
χ542-22-22200-2222-2-2-2-2202-2-2-22-2000020000000000002-200002-200−2i2i2-22-200000000000000−2i2i−2i2i00000−2i2i00000000000
χ552-22-22200-2222-2-2-2-2202-2-2-22-2000020000000000002-20000-22002i−2i-22-2200000000000000−2i2i−2i2i000002i−2i00000000000
χ562-22-22200-2222-2-2-2-2202-2-2-22-2000020000000000002-20000-2200−2i2i-22-22000000000000002i−2i2i−2i00000−2i2i00000000000
χ574444-2444-4-4-24-2-244-2-4-2-2-22-4-4-2-24420000002-4000022-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-22-4-422-4-42000000-2400002222-2-20000000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2200000022−2i32i3−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22000000222i3−2i32i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24i−4i00-424-4-22-202-220004i−4i−2i2i04-44i−4i0000000000−2i2i0000000000000000-22−2i2i0000000000000000000000000000
χ6844-4-44-24i−4i00-424-4-22-202-220004i−4i−2i2i0-44−4i4i0000000000−2i2i00000000000000002-22i−2i0000000000000000000000000000
χ6944-4-44-2−4i4i00-424-4-22-202-22000−4i4i2i−2i04-4−4i4i00000000002i−2i0000000000000000-222i−2i0000000000000000000000000000
χ7044-4-44-2−4i4i00-424-4-22-202-22000−4i4i2i−2i0-444i−4i00000000002i−2i00000000000000002-2−2i2i0000000000000000000000000000
χ7144-4-4-244i−4i002-4-224-4-202-22000−2i2i4i−4i000000000000000−2i2i000000000000−2i22i222−22000000000000000000000000i2−i2−220000
χ7244-4-4-244i−4i002-4-224-4-202-22000−2i2i4i−4i000000000000000−2i2i0000000000002i2−2i2−2222000000000000000000000000−i2i22−20000
χ7344-4-4-24−4i4i002-4-224-4-202-220002i−2i−4i4i0000000000000002i−2i000000000000−2i22i2−2222000000000000000000000000i2−i22−20000
χ7444-4-4-24−4i4i002-4-224-4-202-220002i−2i−4i4i0000000000000002i−2i0000000000002i2−2i222−22000000000000000000000000−i2i2−220000
χ754-44-444004-444-4-4-4-4404-4-44-440000-4000000000000-4400000000000000000000000000000000000000000000000000
χ764-44-44-2004-44-2-4-422-20-22242-20000-40000000000002-20000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ774-44-44-2004-44-2-4-422-20-22242-20000-40000000000002-200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ784-44-44-200-444-2-4-422-20-222-4-2200004000000000000-2200004-40000-22-22000000000000000000000000000000000000
χ794-44-44-200-444-2-4-422-20-222-4-2200004000000000000-220000-4400002-22-2000000000000000000000000000000000000
χ804-44-4-24004-4-2422-4-4-20-222-2-44000020000000000002-20000000000000000000000000000000000−2i32i300000000000000
χ814-44-4-24004-4-2422-4-4-20-222-2-44000020000000000002-200000000000000000000000000000000002i3−2i300000000000000
χ824-44-4-2400-44-2422-4-4-20-22224-40000-2000000000000-22000000004i−4i000000000000000000000000000−2i2i00000000000
χ834-44-4-2400-44-2422-4-4-20-22224-40000-2000000000000-2200000000−4i4i0000000000000000000000000002i−2i00000000000
χ844-4-44440000-4-4-44-4440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-4-4-44-4440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-48i−8i0044-44-4420-22-2000−4i4i−4i4i0000000000000002i−2i000000000000000000000000000000000000000000000000
χ8788-8-8-4-4−8i8i0044-44-4420-22-20004i−4i4i−4i000000000000000−2i2i000000000000000000000000000000000000000000000000
χ888-88-8-4-4008-8-4-44444202-2-2-44-400004000000000000-2200000000000000000000000000000000000000000000000000
χ898-88-8-4-400-88-4-44444202-2-24-440000-40000000000002-200000000000000000000000000000000000000000000000000
χ908-8-888-40000-84-884-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800004-84-4-88-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-44-420-2-220000000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ938-8-88-4-40000444-44-420-2-22000000000000000000000000−6i6i0000000000000000000000000000000000000000000000

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