Finite Group Databasebeta

← Group #11882241

Character table — Group #11882241

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order122222334444666666366666661212121212121212444412121212446612121212121212124488881212121212122424242424242424121212121212244412121212888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-111-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-11111-1-111-1-1111-1-111111-1-1-111-1-111-1-11-111-1-1-1-111-1-11111-1-1-1-1-11-1-1111-11-1-1-11111-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-11111-1-111-1-1111-1-111111-1-1-111-1-111-1-11-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-111-11-11
χ111111-1-1111-1-111111111-1-1-1-11111-1-111-1-1111-1-11111-11-1-1-1-11111-1-11-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-11-1111-1-111-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-11111-1-111-1-1111-1-11111-11-1-1-1-11111-1-11-1-1-111-1-111-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-1111-11-1
χ131111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-111-1-1-1-11-1-1-111-1-111-1-1-1111-1-111-1-1111111-1-1-1-1-11-1-11111-1-111-1-1-1-1111-1-11
χ141111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-111-1-1-1-11-1-1-111-1-111-1-1-11-1-11111-1-111-1-1-1-11111-11-1-111-11-1111-1-111-1-1-111-1
χ151111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-1111-1-111-1-1111111-1-1-1-11-111-1-1-1-111-1-111-1-111-111-1
χ161111-1-1111-1-111111111-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-11-1-11111-1-111-1-1-1-111111-111-1-11-11-1-1-11111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222200220000-2-2-2-2-2-2000022-2-2-2-2000000000000000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200220000-2-2-2-2220000-2-22222000000000000000000000000000000
χ192222222-12222-1-12-122-122-1-1-1-1-1-1-1-12222-10000000022-1-12222-1-1-1-1002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1200200000000-1-100
χ202222222-12222-1-12-122-122-1-1-1-1-1-1-1-12222-10000000022-1-12222-1-1-1-100-2-2-2-200000011111111-1-1-1-1-1-1-200-2000000001100
χ212222222-12222-1-12-122-122-1-1-1-1-1-1-1-12222-100000000-2-2-1-1-2-2-2-2-1-1-1-1002222000000-1-1-1-1-1-1-1-1111111-200-2000000001100
χ222222222-12222-1-12-122-122-1-1-1-1-1-1-1-12222-100000000-2-2-1-1-2-2-2-2-1-1-1-100-2-2-2-200000011111111111111200200000000-1-100
χ23222222-12222222-12-1-1-1-1-122-1-1-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-10000000022-1-1-1-10220-1-1-1-100000000
χ24222222-12222222-12-1-1-1-1-122-1-1-1222-1-1-1-122222-1-1-1-1-2-2-1-11111-1-1-1-1220000-1-1-1-1-1-100000000-2-211110-2-20111100000000
χ25222222-12222222-12-1-1-1-1-122-1-1-1222-1-1-1-12-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-200001111110000000022-1-1-1-10-2-20111100000000
χ26222222-12222222-12-1-1-1-1-122-1-1-1222-1-1-1-12-2-2-2-21111-2-2-1-11111-1-1-1-1-2-2000011111100000000-2-211110220-1-1-1-100000000
χ27222222-12-2-2-2-222-12-1-1-1-1-122-1-1-1-2-2-21111-22222-1-1-1-100-1-1−i3i3−i3i31111-2-20000-1-111110000000000−i3i3−i3i30000−i3i3−i3i300000000
χ28222222-12-2-2-2-222-12-1-1-1-1-122-1-1-1-2-2-21111-22222-1-1-1-100-1-1i3−i3i3−i31111-2-20000-1-111110000000000i3−i3i3−i30000i3−i3i3−i300000000
χ29222222-12-2-2-2-222-12-1-1-1-1-122-1-1-1-2-2-21111-2-2-2-2-2111100-1-1−i3i3−i3i3111122000011-1-1-1-10000000000−i3i3−i3i30000i3−i3i3−i300000000
χ30222222-12-2-2-2-222-12-1-1-1-1-122-1-1-1-2-2-21111-2-2-2-2-2111100-1-1i3−i3i3−i3111122000011-1-1-1-10000000000i3−i3i3−i30000−i3i3−i3i300000000
χ312222-2-222-222-22222222-2-2-2-2222-222-2-222-222-2-2222200-2-20000-2-222-220000-2-2-2-222000000000000000000000000000000
χ322222-2-222-222-22222222-2-2-2-2222-222-2-222-2-2-222-2-2-2-200-2-20000-2-2222-200002222-2-2000000000000000000000000000000
χ332222-2-22-12-2-22-1-12-122-1-2-211-1-1-1-11122-2-2-1000000002-21122-2-2-1-1110022-2-2000000-1-1-1-111111-111-1-1200-200000000-1100
χ342222-2-22-12-2-22-1-12-122-1-2-211-1-1-1-11122-2-2-1000000002-21122-2-2-1-11100-2-2220000001111-1-1-1-11-111-1-1-2002000000001-100
χ352222-2-22-12-2-22-1-12-122-1-2-211-1-1-1-11122-2-2-100000000-2211-2-222-1-1110022-2-2000000-1-1-1-11111-11-1-111-2002000000001-100
χ362222-2-22-12-2-22-1-12-122-1-2-211-1-1-1-11122-2-2-100000000-2211-2-222-1-11100-2-2220000001111-1-1-1-1-11-1-111200-200000000-1100
χ372222-2-2-122-2-2222-12-1-1-111-2-2-1-1-12-2-2-1-111222-2-2-1-1-1-12-211-1-111-1-1112-2000011-1-11100000000-2211-1-10-22011-1-100000000
χ382222-2-2-122-2-2222-12-1-1-111-2-2-1-1-12-2-2-1-111222-2-2-1-1-1-1-221111-1-1-1-1112-2000011-1-111000000002-2-1-11102-20-1-11100000000
χ392222-2-2-122-2-2222-12-1-1-111-2-2-1-1-12-2-2-1-1112-2-22211112-211-1-111-1-111-220000-1-111-1-100000000-2211-1-102-20-1-11100000000
χ402222-2-2-122-2-2222-12-1-1-111-2-2-1-1-12-2-2-1-1112-2-2221111-221111-1-1-1-111-220000-1-111-1-1000000002-2-1-1110-22011-1-100000000
χ412222-2-2-12-222-222-12-1-1-111-2-2-1-1-1-22211-1-1-222-2-2-1-1-1-10011−i3i3i3−i311-1-1-2200001111-1-10000000000i3−i3−i3i30000i3−i3−i3i300000000
χ422222-2-2-12-222-222-12-1-1-111-2-2-1-1-1-22211-1-1-222-2-2-1-1-1-10011i3−i3−i3i311-1-1-2200001111-1-10000000000−i3i3i3−i30000−i3i3i3−i300000000
χ432222-2-2-12-222-222-12-1-1-111-2-2-1-1-1-22211-1-1-2-2-22211110011−i3i3i3−i311-1-12-20000-1-1-1-1110000000000i3−i3−i3i30000−i3i3i3−i300000000
χ442222-2-2-12-222-222-12-1-1-111-2-2-1-1-1-22211-1-1-2-2-22211110011i3−i3−i3i311-1-12-20000-1-1-1-1110000000000−i3i3i3−i30000i3−i3−i3i300000000
χ452-2-222-2220000-2-222-2-222-22-22-2-2000000002-22-222-2-2002-20000000000−i2i2−i2i22-20000−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i20000
χ462-2-222-2220000-2-222-2-222-22-22-2-2000000002-22-222-2-2002-20000000000i2−i2i2−i22-20000i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i20000
χ472-2-222-2220000-2-222-2-222-22-22-2-200000000-22-22-2-222002-20000000000−i2i2−i2i2-220000−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i20000
χ482-2-222-2220000-2-222-2-222-22-22-2-200000000-22-22-2-222002-20000000000i2−i2i2−i2-220000i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i20000
χ492-2-22-22220000-2-222-2-22-22-222-2-2000000002-2-2222-2-200-220000000000−i2i2i2−i2-220000−i2−i2i2i2i2i2−i2−i200000000000000−i2i2i2−i20000
χ502-2-22-22220000-2-222-2-22-22-222-2-2000000002-2-2222-2-200-220000000000i2−i2−i2i2-220000i2i2−i2−i2−i2−i2i2i200000000000000i2−i2−i2i20000
χ512-2-22-22220000-2-222-2-22-22-222-2-200000000-222-2-2-22200-220000000000−i2i2i2−i22-20000−i2−i2i2i2i2i2−i2−i200000000000000i2−i2−i2i20000
χ522-2-22-22220000-2-222-2-22-22-222-2-200000000-222-2-2-22200-220000000000i2−i2−i2i22-20000i2i2−i2−i2−i2−i2i2i200000000000000−i2i2i2−i20000
χ534444444-2-4-4-4-4-2-24-244-244-2-2-2-2-2222-4-4-4-420000000000-2-200002222000000000000000000000000000000000000000000
χ54444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2000000004411-2-2-2-2111100000000000000000000-2-211110000000000000000
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-200000000-4-411222211110000000000000000000022-1-1-1-10000000000000000
χ56444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222222000000000011−2i32i3−2i32i3-1-1-1-10000000000000000000000i3−i3i3−i30000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222220000000000112i3−2i32i3−2i3-1-1-1-10000000000000000000000−i3i3−i3i30000000000000000
χ584444-4-44-2-444-4-2-24-244-2-4-422-2-2-22-2-2-4-4442000000000022000022-2-2000000000000000000000000000000000000000000
χ594444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-2-222-2000000004-4-1-1-2-22211-1-1000000000000000000002-2-1-1110000000000000000
χ604444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-2-222-200000000-44-1-122-2-211-1-100000000000000000000-2211-1-10000000000000000
χ614444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-222-2-220000000000-1-1−2i32i32i3−2i3-1-1110000000000000000000000−i3i3i3−i30000000000000000
χ624444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-222-2-220000000000-1-12i3−2i3−2i32i3-1-1110000000000000000000000i3−i3−i3i30000000000000000
χ6344-4-40044400-4-44-4-44-440000-4-444004-400-400000000000000004-400000000000000000000000000000000000000000000
χ6444-4-40044-4004-44-4-44-440000-4-44-400-440040000000000000000-4400000000000000000000000000000000000000000000
χ6544-4-4004-2400-42-2-424-4-2000022-2-2004-40020000000000000000-2200000000000000000023−2323−230000000000000000000000
χ6644-4-4004-2400-42-2-424-4-2000022-2-2004-40020000000000000000-22000000000000000000−2323−23230000000000000000000000
χ6744-4-4004-2-40042-2-424-4-2000022-2200-4400-200000000000000002-200000000000000−2i32i3−2i32i300000000000000000000000000
χ6844-4-4004-2-40042-2-424-4-2000022-2200-4400-200000000000000002-2000000000000002i3−2i32i3−2i300000000000000000000000000
χ6944-4-400-24400-4-442-4-22-2000022-2400-2200-4000023−2323−2300000000-22000000000023−2300000000000000000000000000000000
χ7044-4-400-24400-4-442-4-22-2000022-2400-2200-40000−2323−232300000000-220000000000−232300000000000000000000000000000000
χ7144-4-400-24-4004-442-4-22-2000022-2-4002-2004000023−2323−23000000002-20000000000−232300000000000000000000000000000000
χ7244-4-400-24-4004-442-4-22-2000022-2-4002-20040000−2323−2323000000002-2000000000023−2300000000000000000000000000000000
χ734-44-4004404i−4i04-4-4-4-4440000-44-404i−4i004i−4i00000000000000000004i−4i000000000000000000000000000000000000000000
χ744-44-400440−4i4i04-4-4-4-4440000-44-40−4i4i00−4i4i0000000000000000000−4i4i000000000000000000000000000000000000000000
χ754-44-4004-204i−4i0-22-42-44-200002-220−2i2i004i−4i0000000000000000000−2i2i0000000000006−6−66i6−i6−i6i60000000000000000000000
χ764-44-4004-204i−4i0-22-42-44-200002-220−2i2i004i−4i0000000000000000000−2i2i000000000000−666−6−i6i6i6−i60000000000000000000000
χ774-44-4004-20−4i4i0-22-42-44-200002-2202i−2i00−4i4i00000000000000000002i−2i0000000000006−6−66−i6i6i6−i60000000000000000000000
χ784-44-4004-20−4i4i0-22-42-44-200002-2202i−2i00−4i4i00000000000000000002i−2i000000000000−666−6i6−i6−i6i60000000000000000000000
χ794-44-400-2404i−4i04-42-42-2-200002-2204i−4i00−2i2i0000023−23−23230000000000−2i2i0000000000−2i32i3000000000000000000000000000000
χ804-44-400-2404i−4i04-42-42-2-200002-2204i−4i00−2i2i00000−232323−230000000000−2i2i00000000002i3−2i3000000000000000000000000000000
χ814-44-400-240−4i4i04-42-42-2-200002-220−4i4i002i−2i0000023−23−232300000000002i−2i00000000002i3−2i3000000000000000000000000000000
χ824-44-400-240−4i4i04-42-42-2-200002-220−4i4i002i−2i00000−232323−2300000000002i−2i0000000000−2i32i3000000000000000000000000000000
χ834-4-444-44-20000224-2-4-4-24-4-22-222000000000000000000-220000000000−2i22i2−2i22i2000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ844-4-444-44-20000224-2-4-4-24-4-22-222000000000000000000-2200000000002i2−2i22i2−2i2000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ854-4-444-4-240000-4-4-2422-2-224-4-222000000004-44-4-2-22200-2200000000000000-220000000000000000000000000000000000
χ864-4-444-4-240000-4-4-2422-2-224-4-22200000000-44-4422-2-200-22000000000000002-20000000000000000000000000000000000
χ874-4-44-444-20000224-2-4-4-2-442-2-2220000000000000000002-20000000000−2i22i22i2−2i2000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ884-4-44-444-20000224-2-4-4-2-442-2-2220000000000000000002-200000000002i2−2i2−2i22i2000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ894-4-44-44-240000-4-4-2422-22-2-44-222000000004-4-44-2-222002-2000000000000002-20000000000000000000000000000000000
χ904-4-44-44-240000-4-4-2422-22-2-44-22200000000-444-422-2-2002-200000000000000-220000000000000000000000000000000000
χ9188-8-800-4-4800-84-444-4420000-2-22-400-4400400000000000000002-200000000000000000000000000000000000000000000
χ9288-8-800-4-4-80084-444-4420000-2-224004-400-40000000000000000-2200000000000000000000000000000000000000000000
χ938-88-800-4-408i−8i0-44444-420000-22-20−4i4i00−4i4i00000000000000000002i−2i000000000000000000000000000000000000000000
χ948-88-800-4-40−8i8i0-44444-420000-22-204i−4i004i−4i0000000000000000000−2i2i000000000000000000000000000000000000000000
χ958-8-888-8-4-4000044-4-4442-44-442-2-20000000000000000002-200000000000000000000000000000000000000000000000000
χ968-8-88-88-4-4000044-4-44424-44-42-2-2000000000000000000-2200000000000000000000000000000000000000000000000000

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