Finite Group Databasebeta

← Group #11887455

Character table — Group #11887455

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12223344446666662366666121212121212121222448888246666612121212121222446666668812122424242424242424666121212244121212124488886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-11-1-111-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-111111111-11-1-11111-1-111-1-1111-1-111111-1-111-1-1-1-111-1-1111-1111111-1-1-1-11111-1-1-1-1111-1-1-1-1-11-11-1-111-1-111-11-1
χ10111111-1-111111111-11-1-11111-1-111-1-1111-1-11111-11-1-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-11
χ11111111-1-111111111-11-1-11111-1-111-1-1111-1-1-1-1-1-11-1-111-1-1-1-111-1-1111-111111111-1-1-1-1-1-11111111-1-1-11-1-1-11-1-1-1-111-1-11-11
χ12111111-1-111111111-11-1-11111-1-111-1-1111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1111-111-11111111-1-1-11-1
χ13111111-1-111111111-11-1-11111-1-111-1-11-1-11111111-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1111-111-1-111-1-1-111
χ14111111-1-111111111-11-1-11111-1-111-1-11-1-1111111-11-1-1-1-1-11111-1-111-11-1-11111-1-1111111-1-1-1-1-1-1-11111-1-11-1-1-11111-1-11-1-1
χ15111111-1-111111111-11-1-11111-1-111-1-11-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-11-11111-1-1111-1-1
χ16111111-1-111111111-11-1-11111-1-111-1-11-1-111-1-1-1-1-11-1-1-1-1-11111-1-111-11-1-111111111-1-1-1-11111-1-1-1111-1-111-1-1-1-1-1-1-111-111
χ1722222222-2-2222222-22-2-2222-222-2-222-22222000000-200-2-200-2-22200-2-2220000002200000000000000000-2-200000000000
χ1822222222-2-2222222-22-2-2222-222-2-222-2-2-2-2-2000000-200-2-200-2-2220022-2-2000000-2-2000000000000000002200000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-222-2-20000002002200-2-2-2-200-2222000000-2-2000000000000000002-200000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2220000002002200-2-2-2-2002-2-2-20000002200000000000000000-2200000000000
χ2122222-1222222-1-12-12-122-1-1-1222-1-1-1-122222000022-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-100-1-1000000002-1-12-1-1020-1-1-1-1000000000
χ2222222-1222222-1-12-12-122-1-1-1222-1-1-1-1222220000-2-2-111-1-111-1-1-1-1-2-222-1-1111100-1-100000000-211-2110-20-1-111000000000
χ2322222-1222222-1-12-12-122-1-1-1222-1-1-1-12-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111110011000000002-1-12-1-10-201111000000000
χ2422222-1222222-1-12-12-122-1-1-1222-1-1-1-12-2-2-2-20000-2-2-111-1-111-1-1-1-122-2-211-1-1-1-1001100000000-211-21102011-1-1000000000
χ2522222-122-2-222-1-12-1-2-1-2-2-1-1-1-22211-1-1-222220000001−i3i311−i3i311-1-100-2-2-1-1−i3−i3i3i300-1-1000000000−i3i30−i3i300011−i3i3000000000
χ2622222-122-2-222-1-12-1-2-1-2-2-1-1-1-22211-1-1-222220000001i3−i311i3−i311-1-100-2-2-1-1i3i3−i3−i300-1-1000000000i3−i30i3−i300011i3−i3000000000
χ2722222-122-2-222-1-12-1-2-1-2-2-1-1-1-22211-1-1-2-2-2-2-20000001−i3i311−i3i311-1-1002211i3i3−i3−i30011000000000−i3i30−i3i3000-1-1i3−i3000000000
χ2822222-122-2-222-1-12-1-2-1-2-2-1-1-1-22211-1-1-2-2-2-2-20000001i3−i311i3−i311-1-1002211−i3−i3i3i30011000000000i3−i30i3−i3000-1-1−i3i3000000000
χ2922222-1-2-22222-1-12-1-2-1-2-2-1-1-12-2-2-1-111222-2-200002-21-1-11111-1-111222-2-1-1-1-1-1-10011000000002-1-1-2110-201-111000000000
χ3022222-1-2-22222-1-12-1-2-1-2-2-1-1-12-2-2-1-111222-2-20000-2211111-1-1-1-111-2-22-2-1-11111001100000000-2112-1-10201-1-1-1000000000
χ3122222-1-2-22222-1-12-1-2-1-2-2-1-1-12-2-2-1-1112-2-22200002-21-1-11111-1-111-2-2-2211111100-1-1000000002-1-1-211020-11-1-1000000000
χ3222222-1-2-22222-1-12-1-2-1-2-2-1-1-12-2-2-1-1112-2-2220000-2211111-1-1-1-11122-2211-1-1-1-100-1-100000000-2112-1-10-20-1111000000000
χ3322222-1-2-2-2-222-1-12-12-122-1-1-1-2-2-21111-222-2-2000000-1−i3i3-1-1i3−i3111100-22-1-1−i3−i3i3i30011000000000−i3i30i3−i3000-11i3−i3000000000
χ3422222-1-2-2-2-222-1-12-12-122-1-1-1-2-2-21111-222-2-2000000-1i3−i3-1-1−i3i3111100-22-1-1i3i3−i3−i30011000000000i3−i30−i3i3000-11−i3i3000000000
χ3522222-1-2-2-2-222-1-12-12-122-1-1-1-2-2-21111-2-2-222000000-1−i3i3-1-1i3−i31111002-211i3i3−i3−i300-1-1000000000−i3i30i3−i30001-1−i3i3000000000
χ3622222-1-2-2-2-222-1-12-12-122-1-1-1-2-2-21111-2-2-222000000-1i3−i3-1-1−i3i31111002-211−i3−i3i3i300-1-1000000000i3−i30−i3i30001-1i3−i3000000000
χ372222-122222-1-122-122-1-1-1-1-1-1-1-1-12222-10000222222222-1-122-1-1-1-100000000002200-1-1-1-1-1-1-1-1-1-1-1-1-1-12020000000000-1-10
χ382222-122222-1-122-122-1-1-1-1-1-1-1-1-12222-100002222-2-22-2-2-1-1-2-2-1-1-1-100000000002200-1-1-1-1-1-1-1-1111111-20-20000000000110
χ392222-122222-1-122-122-1-1-1-1-1-1-1-1-12222-10000-2-2-2-222222-1-122-1-1-1-10000000000-2-20011111111-1-1-1-1-1-1-20-20000000000110
χ402222-122222-1-122-122-1-1-1-1-1-1-1-1-12222-10000-2-2-2-2-2-22-2-2-1-1-2-2-1-1-1-10000000000-2-200111111111111112020000000000-1-10
χ412222-12-2-222-1-122-12-2-111-1-1-1-11122-2-2-1000022222-2-22211-2-2-1-1110000000000-2-200-1-1-1-11111-1-1-1111-20200000000001-10
χ422222-12-2-222-1-122-12-2-111-1-1-1-11122-2-2-100002222-22-2-2-21122-1-1110000000000-2-200-1-1-1-11111111-1-1-120-20000000000-110
χ432222-12-2-222-1-122-12-2-111-1-1-1-11122-2-2-10000-2-2-2-22-2-22211-2-2-1-111000000000022001111-1-1-1-1-1-1-111120-20000000000-110
χ442222-12-2-222-1-122-12-2-111-1-1-1-11122-2-2-10000-2-2-2-2-22-2-2-21122-1-111000000000022001111-1-1-1-1111-1-1-1-20200000000001-10
χ4522-2-222002-2-22-2-2-220200-22-22002-200-200002i2i−2i−2i0000000002-2002-200002-22-200002i2i−2i−2i000000000000000002i−2i0000000
χ4622-2-222002-2-22-2-2-220200-22-22002-200-200002i2i−2i−2i0000000002-200-220000-22-2200002i2i−2i−2i00000000000000000−2i2i0000000
χ4722-2-222002-2-22-2-2-220200-22-22002-200-20000−2i−2i2i2i0000000002-2002-200002-22-20000−2i−2i2i2i00000000000000000−2i2i0000000
χ4822-2-222002-2-22-2-2-220200-22-22002-200-20000−2i−2i2i2i0000000002-200-220000-22-220000−2i−2i2i2i000000000000000002i−2i0000000
χ492-22-2222i−2i002-22-2-2-202002-2-202i−2i002i−2i02-22i−2i−i2i2−i2i2000000000002i−2i00002-200002−22i−2i−i2i2−i2i222−2−20000000000000002−2−i2i2000
χ502-22-2222i−2i002-22-2-2-202002-2-202i−2i002i−2i02-22i−2ii2−i2i2−i2000000000002i−2i00002-20000−222i−2ii2−i2i2−i2−2−222000000000000000−22i2−i2000
χ512-22-2222i−2i002-22-2-2-202002-2-202i−2i002i−2i0-22−2i2i−i2i2−i2i2000000000002i−2i0000-2200002−2−2i2i−i2i2−i2i222−2−2000000000000000−22i2−i2000
χ522-22-2222i−2i002-22-2-2-202002-2-202i−2i002i−2i0-22−2i2ii2−i2i2−i2000000000002i−2i0000-220000−22−2i2ii2−i2i2−i2−2−2220000000000000002−2−i2i2000
χ532-22-222−2i2i002-22-2-2-202002-2-20−2i2i00−2i2i02-2−2i2i−i2i2−i2i200000000000−2i2i00002-20000−22−2i2i−i2i2−i2i2−2−222000000000000000−22−i2i2000
χ542-22-222−2i2i002-22-2-2-202002-2-20−2i2i00−2i2i02-2−2i2ii2−i2i2−i200000000000−2i2i00002-200002−2−2i2ii2−i2i2−i222−2−20000000000000002−2i2−i2000
χ552-22-222−2i2i002-22-2-2-202002-2-20−2i2i00−2i2i0-222i−2i−i2i2−i2i200000000000−2i2i0000-220000−222i−2i−i2i2−i2i2−2−2220000000000000002−2i2−i2000
χ562-22-222−2i2i002-22-2-2-202002-2-20−2i2i00−2i2i0-222i−2ii2−i2i2−i200000000000−2i2i0000-2200002−22i−2ii2−i2i2−i222−2−2000000000000000−22−i2i2000
χ574444-2444-4-4-2-244-24-4-222-2-2-22-2-2-4-44420000000000-400220022-2-200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-244-2-2-2-2-2-2222-4-4-4-420000000000400-2-200222200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-20000000044-2-2-211-2-211110000000000000000000000-211-2110000000000000000
χ604444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-200000000-4-4-2221122111100000000000000000000002-1-12-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-41221112-2-222-2-2200000000002−2i32i3-1-1−2i32i3-1-11100000000000000000000000i3−i30i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-41221112-2-222-2-22000000000022i3−2i3-1-12i3−2i3-1-11100000000000000000000000−i3i30−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-2000000004-42-2-2-1-12211-1-10000000000000000000000-2112-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-200000000-44222-1-1-2-211-1-100000000000000000000002-1-1-2110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-241-2-2111222222220000000000-2−2i32i3112i3−2i3-1-1-1-100000000000000000000000i3−i30−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-241-2-2111222222220000000000-22i3−2i311−2i32i3-1-1-1-100000000000000000000000−i3i30i3−i30000000000000000
χ6744-4-44400-44-44-4-4-440400-44-4-400-4400400000000000000000-440000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-4422-4-20-2002-22400-2200-400000000000000000-22004-40000-22-220000000000000000000000000000000000
χ6944-4-44-2004-4-4422-4-20-2002-22400-2200-400000000000000000-2200-4400002-22-20000000000000000000000000000000000
χ7044-4-44-200-44-4422-4-20-2002-22-4002-2004000000000000000002-200000000−2i32i32i3−2i30000000000000000000000000000000000
χ7144-4-44-200-44-4422-4-20-2002-22-4002-2004000000000000000002-2000000002i3−2i3−2i32i30000000000000000000000000000000000
χ7244-4-4-24004-42-2-4-4240-2002-22-2004-400200004i4i−4i−4i000000000-220000000000000000−2i−2i2i2i00000000000000000000000000
χ7344-4-4-24004-42-2-4-4240-2002-22-2004-40020000−4i−4i4i4i000000000-2200000000000000002i2i−2i−2i00000000000000000000000000
χ7444-4-4-2400-442-2-4-4240-2002-22200-4400-2000000000000000002-200000000000000000000−2i32i3−2i32i30000000000000000000000
χ7544-4-4-2400-442-2-4-4240-2002-22200-4400-2000000000000000002-2000000000000000000002i3−2i32i3−2i30000000000000000000000
χ764-44-44-24i−4i004-4-22-420-200-22204i−4i00−2i2i04-44i−4i000000000000000−2i2i0000-22000000−2i2i000000000000000000000000000000
χ774-44-44-24i−4i004-4-22-420-200-22204i−4i00−2i2i0-44−4i4i000000000000000−2i2i00002-20000002i−2i000000000000000000000000000000
χ784-44-44-2−4i4i004-4-22-420-200-2220−4i4i002i−2i04-4−4i4i0000000000000002i−2i0000-220000002i−2i000000000000000000000000000000
χ794-44-44-2−4i4i004-4-22-420-200-2220−4i4i002i−2i0-444i−4i0000000000000002i−2i00002-2000000−2i2i000000000000000000000000000000
χ804-44-4-244i−4i00-224-42-40-200-2220−2i2i004i−4i00000−2i22i2−2i22i200000000000−2i2i000000000022−2200i2−i2i2−i2−2−2220000000000000000000000
χ814-44-4-244i−4i00-224-42-40-200-2220−2i2i004i−4i000002i2−2i22i2−2i200000000000−2i2i0000000000−222200−i2i2−i2i222−2−20000000000000000000000
χ824-44-4-24−4i4i00-224-42-40-200-22202i−2i00−4i4i00000−2i22i2−2i22i2000000000002i−2i0000000000−222200i2−i2i2−i222−2−20000000000000000000000
χ834-44-4-24−4i4i00-224-42-40-200-22202i−2i00−4i4i000002i2−2i22i2−2i2000000000002i−2i000000000022−2200−i2i2−i2i2−2−2220000000000000000000000
χ844-4-44440000-4-4-444-40400-4-4400000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ854-4-44440000-4-4-444-40400-4-44000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ864-4-44-24000022-44-2-40-2−2i32i322-200000000000022−22−222200000−2i32i300000000000000000000−222−2i6−i6−i6i60000000000000000000000
χ874-4-44-24000022-44-2-40-2−2i32i322-2000000000000−222222−2200000−2i32i3000000000000000000002−2−22−i6i6i6−i60000000000000000000000
χ884-4-44-24000022-44-2-40-22i3−2i322-200000000000022−22−2222000002i3−2i300000000000000000000−222−2−i6i6i6−i60000000000000000000000
χ894-4-44-24000022-44-2-40-22i3−2i322-2000000000000−222222−22000002i3−2i3000000000000000000002−2−22i6−i6−i6i60000000000000000000000
χ9088-8-8-4-4008-84-4444-40200-22-2-400-44004000000000000000002-20000000000000000000000000000000000000000000000
χ9188-8-8-4-400-884-4444-40200-22-24004-400-400000000000000000-220000000000000000000000000000000000000000000000
χ928-88-8-4-48i−8i00-44-444402002-2-20−4i4i00−4i4i000000000000000000002i−2i00000000000000000000000000000000000000000000
χ938-88-8-4-4−8i8i00-44-444402002-2-204i−4i004i−4i00000000000000000000−2i2i00000000000000000000000000000000000000000000
χ948-8-888-40000-8-84-4840-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000444-4-4402−4i34i3-2-220000000000000000000002i3−2i300000000000000000000000000000000000000000000000000
χ968-8-88-4-40000444-4-44024i3−4i3-2-22000000000000000000000−2i32i300000000000000000000000000000000000000000000000000

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