Finite Group Databasebeta

← Group #11884417

Character table — Group #11884417

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order122233444466666612121212234466666121212121212121212122666666666661212121212121212121222888824242424242424242446688121224242424244461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1
χ61111111111111111111111-1-1111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-11-1-111-11-1-111-1-11-11-11-11-1
χ10111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-111-11-11-11-11
χ11111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-1-11-111-1-11
χ12111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-111-1-11-111-1-1111-11-1-111-1
χ13111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-1-1111-11-11-1-11
χ14111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1111-11-1-111-1-1-11-11-111-1
χ15111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-11-111-1-111-11-111-11-1
χ16111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-111111-1-11-11-1-11-11
χ1722222222-2-22222222222-2200-2-222222-22222-2-2-20-20000-2-200000000-2-200000000000000000000000000000002-2-220000
χ1822222222-2-22222222222-2200-2-222222-22222-2-2-20-20000-2-200000000-2-20000000000000000000000000000000-222-20000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-20200002200000000-2-2000000000000000000000000000000022-2-20000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-20200002200000000-2-20000000000000000000000000000000-2-2220000
χ2122222-1222222-1-1-1222222-12222-1-1-1-1-12-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000202002200-1-1-1-10000-1-100
χ2222222-1222222-1-1-1222222-12222-1-1-1-1-12-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000-20-200-2-200111100001100
χ2322222-1222222-1-1-1222222-1-2-222-1-1-1-1-12-1-1-1-1-1-12-2-1-2-211-1-1111111-2-2-1-111110000000000000020200-2-20011110000-1-100
χ2422222-1222222-1-1-1222222-1-2-222-1-1-1-1-12-1-1-1-1-1-12-2-1-2-211-1-1111111-2-2-1-1111100000000000000-20-2002200-1-1-1-100001100
χ2522222-1-2-22222-1-1-12-2-2-2-2-2-122-2-2-1-1-11121111-1-12-21-2-211111111-1-122-1-1-1-1-1-10000000000000020-200-2200-1-1110000-1100
χ2622222-1-2-22222-1-1-12-2-2-2-2-2-122-2-2-1-1-11121111-1-12-21-2-211111111-1-122-1-1-1-1-1-100000000000000-202002-20011-1-100001-100
χ2722222-1-2-22222-1-1-12-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-122122-1-111-1-1-1-111-2-2-1-111110000000000000020-2002-20011-1-10000-1100
χ2822222-1-2-22222-1-1-12-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-122122-1-111-1-1-1-111-2-2-1-1111100000000000000-20200-2200-1-11100001-100
χ292222-122222-1-1222-1-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1020-1-100-1-1000000000000
χ302222-122222-1-1222-1-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111110-20110011000000000000
χ312222-122222-1-1222-1-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-1-2211-2-2-1-11111-2-211-1-1111122-2-2-2-211111111020-1-100-1-1000000000000
χ322222-122222-1-1222-1-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-1-2211-2-2-1-11111-2-211-1-11111-2-22222-1-1-1-1-1-1-1-10-20110011000000000000
χ332222-12-2-222-1-1222-11111-2-12211-1-1-1-2-2-1111122-1-2-211-2-211111122-1-1-1-1-1-1-1-12222-2-2-1-1-1-111110-20-1-10011000000000000
χ342222-12-2-222-1-1222-11111-2-12211-1-1-1-2-2-1111122-1-2-211-2-211111122-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-10201100-1-1000000000000
χ352222-12-2-222-1-1222-11111-2-1-2-211-1-1-1-2-2-1111122-12-2-1-12211-1-1-1-1-2-211-1-1111122-2-2221111-1-1-1-10-20-1-10011000000000000
χ362222-12-2-222-1-1222-11111-2-1-2-211-1-1-1-2-2-1111122-12-2-1-12211-1-1-1-1-2-211-1-11111-2-222-2-2-1-1-1-111110201100-1-1000000000000
χ372-22-22200-22-2-2-22-220000022-200-2-2200-200002-220000000000002-22-22-222-2-22-22-20022-2-200000002-20000000000000000
χ382-22-22200-22-2-2-22-220000022-200-2-2200-200002-220000000000002-22-22-222-2-2-22-2200-2-2220000000-220000000000000000
χ392-22-22200-22-2-2-22-22000002-2200-2-2200-200002-22000000000000-22-222-2-2-2222-2-2200-2-22200000002-20000000000000000
χ402-22-22200-22-2-2-22-22000002-2200-2-2200-200002-22000000000000-22-222-2-2-222-222-20022-2-20000000-220000000000000000
χ412-22-2-1200-2211-22-2-1−i3−i3i3i30-12-2−i3i311-1001−i3−i3i3i32-2-100−i3i300−i3i3−i3−i3i3i32-2-11-11-1-1112-22-200-1-111−i3−i3i3i3000-1100−i3i3000000000000
χ422-22-2-1200-2211-22-2-1−i3−i3i3i30-12-2−i3i311-1001−i3−i3i3i32-2-100−i3i300−i3i3−i3−i3i3i32-2-11-11-1-111-22-220011-1-1i3i3−i3−i30001-100i3−i3000000000000
χ432-22-2-1200-2211-22-2-1−i3−i3i3i30-1-22−i3i311-1001−i3−i3i3i32-2-100i3−i300−i3i3i3i3−i3−i3-221-1-1111-1-12-2-220011-1-1i3i3−i3−i3000-1100−i3i3000000000000
χ442-22-2-1200-2211-22-2-1−i3−i3i3i30-1-22−i3i311-1001−i3−i3i3i32-2-100i3−i300−i3i3i3i3−i3−i3-221-1-1111-1-1-222-200-1-111−i3−i3i3i30001-100i3−i3000000000000
χ452-22-2-1200-2211-22-2-1i3i3−i3−i30-12-2i3−i311-1001i3i3−i3−i32-2-100i3−i300i3−i3i3i3−i3−i32-2-11-11-1-1112-22-200-1-111i3i3−i3−i3000-1100i3−i3000000000000
χ462-22-2-1200-2211-22-2-1i3i3−i3−i30-12-2i3−i311-1001i3i3−i3−i32-2-100i3−i300i3−i3i3i3−i3−i32-2-11-11-1-111-22-220011-1-1−i3−i3i3i30001-100−i3i3000000000000
χ472-22-2-1200-2211-22-2-1i3i3−i3−i30-1-22i3−i311-1001i3i3−i3−i32-2-100−i3i300i3−i3−i3−i3i3i3-221-1-1111-1-12-2-220011-1-1−i3−i3i3i3000-1100i3−i3000000000000
χ482-22-2-1200-2211-22-2-1i3i3−i3−i30-1-22i3−i311-1001i3i3−i3−i32-2-100−i3i300i3−i3−i3−i3i3i3-221-1-1111-1-1-222-200-1-111i3i3−i3−i30001-100−i3i3000000000000
χ4944444-244-4-444-2-2-244444-4-200-4-4-2-2-2-2-2-4-2-2-2-222-4020000220000000022000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-24-4-4-4-44-20044-2-2-222-4222222-40-20000-2-20000000022000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-2-2-2-2-2-4-20022-2-2-2442-2-2-2-2-4-420-40000220000000022000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-222224-200-2-2-2-2-2-4-422222-4-42040000-2-20000000022000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-24144-2-2111-2-2-21111-2-2-24-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-241-4-4-2-2111-2-2-21111-2-2-2-4-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-410022111-2-221111222020000-1-13-33-30000-1-13-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-410022111-2-221111222020000-1-1-33-330000-1-1-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222-41442211122-2-1-1-1-1-2-2-2-422222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-22222-41-4-42211122-2-1-1-1-1-2-2-242-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-2111222-1-1-1-12220-20000113-33-30000-1-1-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-2111222-1-1-1-12220-2000011-33-330000-1-13-33-300000000000000000000000000000000000
χ6144-4-4444i−4i004-44-4-4-44i−4i4i−4i0400004-4-44i−4i04i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ6244-4-444−4i4i004-44-4-4-4−4i4i−4i4i0400004-4-4−4i4i0−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6344-4-44-24i−4i004-4-222-44i−4i4i−4i0-20000-222−2i2i0−2i2i−2i2i0000000000000000000000000000000000000000000000006−6i6−i600000000
χ6444-4-44-24i−4i004-4-222-44i−4i4i−4i0-20000-222−2i2i0−2i2i−2i2i000000000000000000000000000000000000000000000000−66−i6i600000000
χ6544-4-44-2−4i4i004-4-222-4−4i4i−4i4i0-20000-2222i−2i02i−2i2i−2i0000000000000000000000000000000000000000000000006−6−i6i600000000
χ6644-4-44-2−4i4i004-4-222-4−4i4i−4i4i0-20000-2222i−2i02i−2i2i−2i000000000000000000000000000000000000000000000000−66i6−i600000000
χ6744-4-4-244i−4i00-224-4-42−2i2i−2i2i0-20000-2224i−4i0−2i2i−2i2i00000000000000000000000000000006−66−6i6−i6i6−i6000000000000000000000
χ6844-4-4-244i−4i00-224-4-42−2i2i−2i2i0-20000-2224i−4i0−2i2i−2i2i0000000000000000000000000000000−66−66−i6i6−i6i6000000000000000000000
χ6944-4-4-24−4i4i00-224-4-422i−2i2i−2i0-20000-222−4i4i02i−2i2i−2i00000000000000000000000000000006−66−6−i6i6−i6i6000000000000000000000
χ7044-4-4-24−4i4i00-224-4-422i−2i2i−2i0-20000-222−4i4i02i−2i2i−2i0000000000000000000000000000000−66−66i6−i6i6−i6000000000000000000000
χ714-44-444004-4-4-4-44-440000040000-4-440040000-44-40000000000000000-44000000000000000000000000000000000000000
χ724-44-44-2004-4-4-42-22400000-2000022-200400002-2-40000−2i32i300−2i32i32i3−2i300002-2000000000000000000000000000000000000000
χ734-44-44-2004-4-4-42-22400000-2000022-200400002-2-400002i3−2i3002i3−2i3−2i32i300002-2000000000000000000000000000000000000000
χ744-44-44-200-44-4-42-22400000-24-40022-200-40000-224000000000000-224-4-22-2-22200000000000000000000000000000000000
χ754-44-44-200-44-4-42-22400000-2-440022-200-40000-2240000000000002-2-44-2222-2-200000000000000000000000000000000000
χ764-44-4-24004-422-44-4-2−2i3−2i32i32i30-2002i3−2i322-200-2−2i3−2i32i32i3-4420000002i3−2i3000000002-2000000000000000000000000000000000000000
χ774-44-4-24004-422-44-4-22i32i3−2i3−2i30-200−2i32i322-200-22i32i3−2i3−2i3-442000000−2i32i3000000002-2000000000000000000000000000000000000000
χ784-44-4-2-2004-4222-22-2−2i3−2i32i32i301002i3−2i3-1-1100-2i3i3−i3−i32-220000−2i32i3−i3i3i3−i3−i3i30000-11-333-300000000000000000000000000000000000
χ794-44-4-2-2004-4222-22-2−2i3−2i32i32i301002i3−2i3-1-1100-2i3i3−i3−i32-2200002i3−2i3−i3i3−i3i3i3−i30000-113-3-3300000000000000000000000000000000000
χ804-44-4-2-2004-4222-22-22i32i3−2i3−2i30100−2i32i3-1-1100-2−i3−i3i3i32-220000−2i32i3i3−i3i3−i3−i3i30000-113-3-3300000000000000000000000000000000000
χ814-44-4-2-2004-4222-22-22i32i3−2i3−2i30100−2i32i3-1-1100-2−i3−i3i3i32-2200002i3−2i3i3−i3−i3i3i3−i30000-11-333-300000000000000000000000000000000000
χ824-44-4-2-200-44222-22-2−2i3−2i32i32i3014-4−2i32i3-1-11002i3i3−i3−i3-22-200−2i32i300i3−i3i3i3−i3−i3-22-221-111-1-100000000000000000000000000000000000
χ834-44-4-2-200-44222-22-2−2i3−2i32i32i301-44−2i32i3-1-11002i3i3−i3−i3-22-2002i3−2i300i3−i3−i3−i3i3i32-22-21-1-1-11100000000000000000000000000000000000
χ844-44-4-2-200-44222-22-22i32i3−2i3−2i3014-42i3−2i3-1-11002−i3−i3i3i3-22-2002i3−2i300−i3i3−i3−i3i3i3-22-221-111-1-100000000000000000000000000000000000
χ854-44-4-2-200-44222-22-22i32i3−2i3−2i301-442i3−2i3-1-11002−i3−i3i3i3-22-200−2i32i300−i3i3i3i3−i3−i32-22-21-1-1-11100000000000000000000000000000000000
χ864-4-44440000-44-4-44-40000040000-44-400000000000000000000000000000000000022−22000022−22−2222000000000000000000000
χ874-4-44440000-44-4-44-40000040000-44-4000000000000000000000000000000000000−22220000−222222−22000000000000000000000
χ884-4-44-2400002-2-4-44223−23−23230-200002-2200023−23−23230000000000000000000000000000022−22−666−6−222−2000000000000000000000
χ894-4-44-2400002-2-4-44223−23−23230-200002-2200023−23−232300000000000000000000000000000−22226−6−662−2−22000000000000000000000
χ904-4-44-2400002-2-4-442−232323−230-200002-22000−232323−230000000000000000000000000000022−226−6−66−222−2000000000000000000000
χ914-4-44-2400002-2-4-442−232323−230-200002-22000−232323−2300000000000000000000000000000−2222−666−62−2−22000000000000000000000
χ9288-8-8-4-48i−8i00-44-4444−4i4i−4i4i0200002-2-2−4i4i02i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4−8i8i00-44-44444i−4i4i−4i0200002-2-24i−4i0−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ948-8-888-40000-8844-4-800000-400004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-444-4443−43−4343020000-22-2000−232323−23000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400004-444-44−434343−43020000-22-200023−23−2323000000000000000000000000000000000000000000000000000000000000

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