Finite Group Databasebeta

← Group #11895366

Character table — Group #11895366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122233444466666634666121212121212121244444412121212121212121212121222444466668888121212121212121212128888441212121212121212242424248822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
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
χ9111111-1-1111111111-111111-1-11-1-1111-1-11-1-1-111-1-111-1-1-1-1111-111111111-1-111-1-11-111-1-11111-1-1-1-1111-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-111111-1-11-1-1111-1-11-1-1-111-1-111-1-1-1-1111-1-1-11111-1-11111-1-11-111-1-1-1-1-1-11-111-1-11-1-1-1-1-11111-11
χ11111111-1-1111111111-111111-1-11-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-1-11-1-1111-111-1-111111-1
χ12111111-1-1111111111-111111-1-11-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-11-1-11111111111-1-11-11111-1-1-1-1-11
χ13111111-1-1111111111-111111-1-11-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-1-11-1-111-111111-1-111-11
χ14111111-1-1111111111-111111-1-11-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1111-111-1-111111111-1-1-1111-1-111-1-11-1
χ15111111-1-1111111111-111111-1-11-1-11-1-111-11-1-1-1-11111-1-1-1-111-11111111-1-111-1-111-11-1-1111111-1-1-1-111-11-1-1-1-111-1-1-11
χ16111111-1-1111111111-111111-1-11-1-11-1-111-11-1-1-1-11111-1-1-1-111-11-1-1111111-1-1-1-111-11-1-111-1-1-1-11-111-1-1-11-1-111-1-1111-1
χ1722222222-2-22222222-2222-2-222-222-2222200-2-20000-2-222-2-200-2-2000000000022220000000000000000-2-20000000000
χ1822222222-2-22222222-2222-2-222-222-2-2-2-2-200-2-20000-2-222-2-200220000000000-2-2-2-20000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-2-2-22200-22000000000022-2-20000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-2-2-222002-20000000000-2-22200000000000000002-20000000000
χ2122222-122222-122-1-1-12-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-10000-1-1-1-122-1-1-1-10000020000-1-1-1-100000000
χ2222222-122222-122-1-1-12-1-1-1-1-1222-1-122222-2-22-11111-1-1-1-1-1-1-2-2220011110000-1-1-1-1-2-2111100000-20000-1-11100000000
χ2322222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011110000111122-1-1-1-100000-20000111100000000
χ2422222-122222-122-1-1-12-1-1-1-1-1222-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-122-2-200-1-1-1-100001111-2-21111000002000011-1-100000000
χ2522222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2222200-21−i3i3−i3i311-1-11100-2-200−i3−i3i3i30000-1-1-1-100−i3i3−i3i3000000000011−i3i300000000
χ2622222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2222200-21i3−i3i3−i311-1-11100-2-200i3i3−i3−i30000-1-1-1-100i3−i3i3−i3000000000011i3−i300000000
χ2722222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2-2-2-2-200-21−i3i3−i3i311-1-111002200i3i3−i3−i30000111100−i3i3−i3i30000000000-1-1i3−i300000000
χ2822222-122-2-22-122-1-1-1-2-1-1-11122-2-1-1-2-2-2-2-200-21i3−i3i3−i311-1-111002200−i3−i3i3i30000111100i3−i3i3−i30000000000-1-1−i3i300000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2211222-2-22-2-21-1-111-1-11111222-200-1-1-1-10000-1-1112-2-1-11100000-20000-111100000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2211222-2-2-22-2111-1-1-1-11111-2-22-20011110000-1-111-2211-1-10000020000-11-1-100000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-2-2222-2-21-1-111-1-11111-2-2-22001111000011-1-12-2-1-11100000200001-1-1-100000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-22112-2-222-22-2111-1-1-1-1111122-2200-1-1-1-1000011-1-1-2211-1-100000-200001-11100000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-222-2-2002-1−i3i3i3−i31111-1-100-2200−i3−i3i3i30000-1-11100−i3i3i3−i300000000001-1i3−i300000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-222-2-2002-1i3−i3−i3i31111-1-100-2200i3i3−i3−i30000-1-11100i3−i3−i3i300000000001-1−i3i300000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2-2-222002-1−i3i3i3−i31111-1-1002-200i3i3−i3−i3000011-1-100−i3i3i3−i30000000000-11−i3i300000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-111-2-2-211-2-2-222002-1i3−i3−i3i31111-1-1002-200−i3−i3i3i3000011-1-100i3−i3−i3i30000000000-11i3−i300000000
χ372222-122222-12-1-122-12-1-1-122-1-1-122-1000022-122222-1-1-1-1-1-1000022000022220000-1-1-1-1-1-1000020-1-1-1-10000-1-1-1-10000
χ382222-122222-12-1-122-12-1-1-122-1-1-122-1000022-122222-1-1-1-1-1-10000-2-20000-2-2-2-20000-1-1-1-1-1-10000-201111000011110000
χ392222-122222-12-1-122-12-1-1-122-1-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000220000-2-2-2-20000111111000020-1-1-1-1000011110000
χ402222-122222-12-1-122-12-1-1-122-1-1-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000-2-20000222200001111110000-2011110000-1-1-1-10000
χ412222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-100002-21-222-2-2-1-11111000022000022-2-20000-11-1-1110000-2011-1-10000-1-1110000
χ422222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-100002-21-222-2-2-1-111110000-2-20000-2-2220000-11-1-111000020-1-111000011-1-10000
χ432222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-10000-221-2-2-222-1-111110000220000-2-22200001-111-1-10000-2011-1-1000011-1-10000
χ442222-12-2-222-12-1-122-1-2-1-1-12211-1-2-2-10000-221-2-2-222-1-111110000-2-2000022-2-200001-111-1-1000020-1-1110000-1-1110000
χ4522-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-200002-2002i−2i2-22-2000000000000002i2i−2i−2i00002i−2i000000000000
χ4622-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-200002-200−2i2i2-22-200000000000000−2i−2i2i2i0000−2i2i000000000000
χ4722-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-20000-22002i−2i-22-2200000000000000−2i−2i2i2i00002i−2i000000000000
χ4822-2-22200-22-222-2-2-2202-2-22-200-20020000000000002-20000-2200−2i2i-22-22000000000000002i2i−2i−2i0000−2i2i000000000000
χ492-22-2222-2002-2-2-2-2220-22-2002-202-202i−2i2i−2i00000000002-20000000000002−22−22i−2i2i−2i000000−i2i2−i2i200000000002−22−2−i2i200
χ502-22-2222-2002-2-2-2-2220-22-2002-202-202i−2i2i−2i00000000002-2000000000000−22−222i−2i2i−2i000000i2−i2i2−i20000000000−22−22i2−i200
χ512-22-2222-2002-2-2-2-2220-22-2002-202-20−2i2i−2i2i00000000002-20000000000002−22−2−2i2i−2i2i000000i2−i2i2−i200000000002−22−2i2−i200
χ522-22-2222-2002-2-2-2-2220-22-2002-202-20−2i2i−2i2i00000000002-2000000000000−22−22−2i2i−2i2i000000−i2i2−i2i20000000000−22−22−i2i200
χ532-22-222-22002-2-2-2-2220-22-200-220-2202i−2i−2i2i0000000000-220000000000002−2−222i−2i−2i2i000000−i2i2−i2i200000000002−2−22i2−i200
χ542-22-222-22002-2-2-2-2220-22-200-220-2202i−2i−2i2i0000000000-22000000000000−222−22i−2i−2i2i000000i2−i2i2−i20000000000−222−2−i2i200
χ552-22-222-22002-2-2-2-2220-22-200-220-220−2i2i2i−2i0000000000-220000000000002−2−22−2i2i2i−2i000000i2−i2i2−i200000000002−2−22−i2i200
χ562-22-222-22002-2-2-2-2220-22-200-220-220−2i2i2i−2i0000000000-22000000000000−222−2−2i2i2i−2i000000−i2i2−i2i20000000000−222−2i2−i200
χ574444-2444-4-4-24-2-244-2-4-2-2-2-4-4-2-224420000002-4000022-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-2-4-4222-4-42000000-2400002222-2-20000000000000000000000000000000000000000000000
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
χ614444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-2200000022−2i32i3−2i32i3-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-411122-2-22-2-22000000222i3−2i32i3−2i3-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-222-222-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
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
χ6744-4-444004-4-444-4-4-4404-4-4-4400400-4000000000000-4400000000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-4-24-422-20-2222-200400-40000000000002-20000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ6944-4-44-2004-4-4-24-422-20-2222-200400-40000000000002-200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ7044-4-44-200-44-4-24-422-20-222-2200-4004000000000000-2200004-40000-22-22000000000000000000000000000000000000
χ7144-4-44-200-44-4-24-422-20-222-2200-4004000000000000-220000-4400002-22-2000000000000000000000000000000000000
χ7244-4-4-24004-424-22-4-4-20-222-4400-20020000000000002-20000000000000000000000000000000000−2i32i300000000000000
χ7344-4-4-24004-424-22-4-4-20-222-4400-20020000000000002-200000000000000000000000000000000002i3−2i300000000000000
χ7444-4-4-2400-4424-22-4-4-20-2224-400200-2000000000000-22000000004i−4i00000000000000000000000000−2i2i000000000000
χ7544-4-4-2400-4424-22-4-4-20-2224-400200-2000000000000-2200000000−4i4i000000000000000000000000002i−2i000000000000
χ764-44-44-24-40042-4-42-2-202-22004-40-2204i−4i4i−4i0000000000-220000000000000000−2i2i−2i2i0000000000000000000000000000
χ774-44-44-24-40042-4-42-2-202-22004-40-220−4i4i−4i4i0000000000-2200000000000000002i−2i2i−2i0000000000000000000000000000
χ784-44-44-2-440042-4-42-2-202-2200-4402-204i−4i−4i4i00000000002-20000000000000000−2i2i2i−2i0000000000000000000000000000
χ794-44-44-2-440042-4-42-2-202-2200-4402-20−4i4i4i−4i00000000002-200000000000000002i−2i−2i2i0000000000000000000000000000
χ804-44-4-244-400-2-422-44-202-2200-2204-4000000000000000-2200000000000022−2222−22000000000000000000000000−22−220000
χ814-44-4-244-400-2-422-44-202-2200-2204-4000000000000000-22000000000000−2222−22220000000000000000000000002−22−20000
χ824-44-4-24-4400-2-422-44-202-22002-20-440000000000000002-200000000000022−22−2222000000000000000000000000−222−20000
χ834-44-4-24-4400-2-422-44-202-22002-20-440000000000000002-2000000000000−222222−220000000000000000000000002−2−220000
χ844-4-44440000-4-4-444-440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-4-4-444-440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-4008-84-4-4444202-2-24-400-4004000000000000-2200000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-884-4-4444202-2-2-4400400-40000000000002-200000000000000000000000000000000000000000000000000
χ888-88-8-4-48-800-44444-420-22-200-440-440000000000000002-2000000000000000000000000000000000000000000000000
χ898-88-8-4-4-8800-44444-420-22-2004-404-4000000000000000-22000000000000000000000000000000000000000000000000
χ908-8-888-40000-84-88-44-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800004-84-48-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-4-4420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ938-8-88-4-40000444-4-4420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000

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