Finite Group Databasebeta

← Group #11887286

Character table — Group #11887286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212122244441212121212121212121212122224446688881212121212121212121212128888446661212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11-1-11-1-1111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-11-1-11-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-11-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-11-1-11-1-1111111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11111-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-11-1-11-1-1111111-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111
χ9111111-1-1111111111-11111-1-1-1-111111-1-11-1-111-1-1-111-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-111-1-111111-1-1111-1
χ10111111-1-1111111111-11111-1-1-1-111111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1111-1-1111111-1-1-111111-1-111-1-1-11
χ11111111-1-1111111111-11111-1-1-1-111111-1-1-11-1-1-1-11111-1-1-1-1-11111111-1-1111111-1-11-1-1-1111111-1-1-111-1-11-1-1-1-111-1-11-1
χ12111111-1-1111111111-11111-1-1-1-111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111111-1-11111-1-11-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-111-11
χ13111111-1-1111111111-11111-1-1-1-1111-1-1111-1-111-1-1-111-1-1-1-111111-1-1-111-1-1111111-1111-1-11111-1-1111-1-1-1-1-111-1-1-1-1-11
χ14111111-1-1111111111-11111-1-1-1-1111-1-1111-1-111-1-1-111-1-1-1-11-1-111-1-1-1-1-111111111-1111-1-1-1-1-1-11-11-1-111-1-1-1-1-111111-1
χ15111111-1-1111111111-11111-1-1-1-1111-1-111-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-11111-1-1-111-1-11111-11
χ16111111-1-1111111111-11111-1-1-1-1111-1-111-11-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1111111111-1-111-11111-1-1-1-11-1
χ1722222222-2-22222222-2222-22222-2-2-2222200-200-200-2-222-2-2-20000-2220000000022000000000000-20000-20000000000
χ1822222222-2-22222222-2222-22222-2-2-2-2-2-2-200-200-200-2-222-2-2200002-2-200000000-2-20000000000002000020000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200200200-2-2-2-22220000-22200000000-2-200000000000020000-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200200200-2-2-2-222-200002-2-20000000022000000000000-2000020000000000
χ2122222-1222222-12-1-1-12-1-1-12-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1200222-1-10000-1-1-1-1-1-122-1-1-1-1000002-10000-1-1-100000000
χ2222222-1222222-12-1-1-12-1-1-12-1-122-1-122222-2-2211-111-1-1-1-1-1-1200-2-22-1-100001111-1-1-2-2111100000-2-10000-11100000000
χ2322222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-200-2-2-211000011111122-1-1-1-100000-21000011100000000
χ2422222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-2-2-2211-111-1-1-1-1-1-1-20022-2110000-1-1-1-111-2-21111000002100001-1-100000000
χ2522222-122-2-222-12-1-1-1-2-1-1-1-2-1-12211-2222200-2−i3i31−i3i311-1-111-20000-2-1-10000−i3−i3i3i3-1-100−i3i3−i3i3000000100001−i3i300000000
χ2622222-122-2-222-12-1-1-1-2-1-1-1-2-1-12211-2222200-2i3−i31i3−i311-1-111-20000-2-1-10000i3i3−i3−i3-1-100i3−i3i3−i3000000100001i3−i300000000
χ2722222-122-2-222-12-1-1-1-2-1-1-1-2-1-12211-2-2-2-2-200-2−i3i31−i3i311-1-111200002110000i3i3−i3−i31100−i3i3−i3i3000000-10000-1i3−i300000000
χ2822222-122-2-222-12-1-1-1-2-1-1-1-2-1-12211-2-2-2-2-200-2i3−i31i3−i311-1-111200002110000−i3−i3i3i31100i3−i3i3−i3000000-10000-1−i3i300000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-1211-2-2-1-1222-2-22-2-2-1-1111-1-11111-200-2-22-1-10000111111-22-1-11100000210000-1-1-100000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-1211-2-2-1-1222-2-2-22-2111-1-1-1-11111-200222-1-10000-1-1-1-1112-211-1-100000-210000-11100000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-1211-2-2-1-12-2-2222-2-2-1-1111-1-1111120022-2110000-1-1-1-1-1-1-22-1-11100000-2-1000011100000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-1211-2-2-1-12-2-222-22-2111-1-1-1-11111200-2-2-21100001111-1-12-211-1-1000002-100001-1-100000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-2002−i3i3-1i3−i31111-1-120000-2-1-10000i3i3−i3−i31100−i3i3i3−i3000000-100001−i3i300000000
χ3422222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-2002i3−i3-1−i3i31111-1-120000-2-1-10000−i3−i3i3i31100i3−i3−i3i3000000-100001i3−i300000000
χ3522222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2-2-222002−i3i3-1i3−i31111-1-1-200002110000−i3−i3i3i3-1-100−i3i3i3−i300000010000-1i3−i300000000
χ3622222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2-2-222002i3−i3-1−i3i31111-1-1-200002110000i3i3−i3−i3-1-100i3−i3−i3i300000010000-1−i3i300000000
χ372222-122222-1-12-122-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-1022000002222000000-1-1-1-1-1-10000200-1-1-1-1000-1-1-1-10000
χ382222-122222-1-12-122-12-1-1-1-122-1-122-1000022-122222-1-1-1-1-1-10-2-200000-2-2-2-2000000-1-1-1-1-1-10000-200111100011110000
χ392222-122222-1-12-122-12-1-1-1-122-1-122-10000-2-2-1-2-22-2-2-1-1-1-1-1-102200000-2-2-2-20000001111110000200-1-1-1-100011110000
χ402222-122222-1-12-122-12-1-1-1-122-1-122-10000-2-2-1-2-22-2-2-1-1-1-1-1-10-2-20000022220000001111110000-2001111000-1-1-1-10000
χ412222-12-2-222-1-12-122-1-2-1-1-1-1-2-21122-100002-2122-2-2-2-1-111110220000022-2-20000001-1-1-1110000-200-1-111000-1-1110000
χ422222-12-2-222-1-12-122-1-2-1-1-1-1-2-21122-100002-2122-2-2-2-1-111110-2-200000-2-2220000001-1-1-111000020011-1-100011-1-10000
χ432222-12-2-222-1-12-122-1-2-1-1-1-1-2-21122-10000-221-2-2-222-1-1111102200000-2-222000000-1111-1-10000-200-1-11100011-1-10000
χ442222-12-2-222-1-12-122-1-2-1-1-1-1-2-21122-10000-221-2-2-222-1-111110-2-20000022-2-2000000-1111-1-1000020011-1-1000-1-1110000
χ4522-2-2222i−2i00-22-2-22-220-22-202i−2i2i−2i0002-22i−2i00000000002i−2i000000002-2−i2i22−200002i−2i00000022−2−20000000000−i2i22−2−i2i200
χ4622-2-2222i−2i00-22-2-22-220-22-202i−2i2i−2i0002-22i−2i00000000002i−2i000000002-2i2−i2−2200002i−2i000000−2−2220000000000i2−i2−22i2−i200
χ4722-2-2222i−2i00-22-2-22-220-22-202i−2i2i−2i000-22−2i2i00000000002i−2i00000000-22−i2i22−20000−2i2i000000−2−2220000000000−i2i22−2i2−i200
χ4822-2-2222i−2i00-22-2-22-220-22-202i−2i2i−2i000-22−2i2i00000000002i−2i00000000-22i2−i2−220000−2i2i00000022−2−20000000000i2−i2−22−i2i200
χ4922-2-222−2i2i00-22-2-22-220-22-20−2i2i−2i2i0002-2−2i2i0000000000−2i2i000000002-2−i2i2−220000−2i2i000000−2−2220000000000−i2i2−22−i2i200
χ5022-2-222−2i2i00-22-2-22-220-22-20−2i2i−2i2i0002-2−2i2i0000000000−2i2i000000002-2i2−i22−20000−2i2i00000022−2−20000000000i2−i22−2i2−i200
χ5122-2-222−2i2i00-22-2-22-220-22-20−2i2i−2i2i000-222i−2i0000000000−2i2i00000000-22−i2i2−2200002i−2i00000022−2−20000000000−i2i2−22i2−i200
χ5222-2-222−2i2i00-22-2-22-220-22-20−2i2i−2i2i000-222i−2i0000000000−2i2i00000000-22i2−i22−200002i−2i000000−2−2220000000000i2−i22−2−i2i200
χ532-2-2222002-22-2-2-2-22202-2-2200002-2-20000000000002-2000002-22i−2i00000002i−2i2i−2i000000002i−2i2i−2i0002-20000000000000
χ542-2-2222002-22-2-2-2-22202-2-2200002-2-20000000000002-2000002-2−2i2i0000000−2i2i−2i2i00000000−2i2i−2i2i0002-20000000000000
χ552-2-2222002-22-2-2-2-22202-2-2200002-2-20000000000002-200000-222i−2i00000002i−2i2i−2i00000000−2i2i−2i2i000-220000000000000
χ562-2-2222002-22-2-2-2-22202-2-2200002-2-20000000000002-200000-22−2i2i0000000−2i2i−2i2i000000002i−2i2i−2i000-220000000000000
χ574444-2444-4-4-2-24-244-2-4-2-2-2244-2-2-4-42000000200-40022-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-244-24-2-2-22-4-422-4-42000000-2004002222-2-20000000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-222-22211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-22220000002−2i32i32−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-222200000022i3−2i322i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-22222-2-2-200004-42-2-222211-1-1-1-10000000000000000002-211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-22222-2-2-20000-442222-2-211-1-1-1-1000000000000000000-22-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2−2i32i3-22i3−2i3-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-22i3−2i3-2−2i32i3-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24i−4i00-442-4-22-202-220−2i2i4i−4i0004-44i−4i0000000000−2i2i00000000-2200000000−2i2i0000000000000000000000000000
χ6844-4-44-24i−4i00-442-4-22-202-220−2i2i4i−4i000-44−4i4i0000000000−2i2i000000002-2000000002i−2i0000000000000000000000000000
χ6944-4-44-2−4i4i00-442-4-22-202-2202i−2i−4i4i0004-4−4i4i00000000002i−2i00000000-22000000002i−2i0000000000000000000000000000
χ7044-4-44-2−4i4i00-442-4-22-202-2202i−2i−4i4i000-444i−4i00000000002i−2i000000002-200000000−2i2i0000000000000000000000000000
χ7144-4-4-244i−4i002-2-424-4-202-2204i−4i−2i2i00000000000000000−2i2i0000000000−2i22i222−2200000000000000000000000000i2−i2−220000
χ7244-4-4-244i−4i002-2-424-4-202-2204i−4i−2i2i00000000000000000−2i2i00000000002i2−2i2−222200000000000000000000000000−i2i22−20000
χ7344-4-4-24−4i4i002-2-424-4-202-220−4i4i2i−2i000000000000000002i−2i0000000000−2i22i2−222200000000000000000000000000i2−i22−20000
χ7444-4-4-24−4i4i002-2-424-4-202-220−4i4i2i−2i000000000000000002i−2i00000000002i2−2i222−2200000000000000000000000000−i2i2−220000
χ754-44-4440000-4-444-4-440-4-4400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ764-44-4440000-4-444-4-440-4-44000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ774-4-444400-444-4-4-4-44404-4-4-40000-444000000000000-4400000000000000000000000000000000000000000000000000
χ784-4-444-2004-44-42-42-2-20-22240000-22-4000000000000-2200000004i−4i0000000−2i2i−2i2i000000000000000000000000000000
χ794-4-444-2004-44-42-42-2-20-22240000-22-4000000000000-220000000−4i4i00000002i−2i2i−2i000000000000000000000000000000
χ804-4-444-200-444-42-42-2-20-222-400002-240000000000002-2000000000000000023−23−2323000000000000000000000000000000
χ814-4-444-200-444-42-42-2-20-222-400002-240000000000002-20000000000000000−232323−23000000000000000000000000000000
χ824-4-44-24004-4-22-42-44-20-222-200004-42000000000000-22000004-40000000000000000000000000000-220000000000000
χ834-4-44-24004-4-22-42-44-20-222-200004-42000000000000-2200000-4400000000000000000000000000002-20000000000000
χ844-4-44-2400-44-22-42-44-20-22220000-44-20000000000002-2000000000000000000000000000000000000023−2300000000000
χ854-4-44-2400-44-22-42-44-20-22220000-44-20000000000002-20000000000000000000000000000000000000−232300000000000
χ8688-8-8-4-48i−8i004-444-4420-22-20−4i4i−4i4i000000000000000002i−2i000000000000000000000000000000000000000000000000
χ8788-8-8-4-4−8i8i004-444-4420-22-204i−4i4i−4i00000000000000000−2i2i000000000000000000000000000000000000000000000000
χ888-88-88-40000-8-8-4844-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-480000448-4-8-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4000044-4-44420-2-220000000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ918-88-8-4-4000044-4-44420-2-22000000000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ928-8-88-4-4008-8-44444-4202-2-2-40000-4440000000000002-200000000000000000000000000000000000000000000000000
χ938-8-88-4-400-88-44444-4202-2-2400004-4-4000000000000-2200000000000000000000000000000000000000000000000000

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