Finite Group Databasebeta

← Group #11889244

Character table — Group #11889244

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order12223344446666661212121223446666612121212121212121212466612121212121212121212121212121212121222888824242424242424242446688121224242424244461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1
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
χ51111111111111111111111-1-1111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1
χ61111111111111111111111-1-1111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-11-1-111-11-1-111-1-11-1-111-11-1
χ10111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-1-1-1-111-111-1-11-11
χ11111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111111-1-1-111-11-1-11
χ12111111-1-111111111-1-1-1-1-1111-1-1111-1-11-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-11-111-1-1111-1-11-111-1
χ13111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-111111-1-1111-1-1-1-1-1111-1-111-1-11
χ14111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-11111-11-111-11-1-111-1-1-111-1-111-1
χ15111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11-11-1-11-111-1-111-111-11-11-1
χ16111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-111-1-1-111111-1-11-1-11-11-11
χ1722222222-2-22222222222-2200-2-222222-22222-2-2-20-2-2-200000000-2-20000000000000000000000000000000000022-2-20000
χ1822222222-2-22222222222-2200-2-222222-22222-2-2-20-2-2-200000000-2-200000000000000000000000000000000000-2-2220000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-2022200000000-2-2000000000000000000000000000000000002-22-20000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-2022200000000-2-200000000000000000000000000000000000-22-220000
χ2122222-1222222-1-12-122222-12222-1-1-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220002200-1-1-1-10000-1-100
χ2222222-1222222-1-12-122222-12222-1-1-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2000-2-200111100001100
χ2322222-1222222-1-12-122222-1-2-222-1-1-1-1-12-1-1-1-1-1-12-2-1-1-1-2-2-2-21111-1-1111111110000000000000022000-2-20011110000-1-100
χ2422222-1222222-1-12-122222-1-2-222-1-1-1-1-12-1-1-1-1-1-12-2-1-1-1-2-2-2-21111-1-11111111100000000000000-2-20002200-1-1-1-100001100
χ2522222-1-2-22222-1-12-1-2-2-2-2-2-122-2-2-1-1-11121111-1-12-211122-2-211-1-1-1-1-1-1-1-11111000000000000002-2000-2200-1-1110000-1100
χ2622222-1-2-22222-1-12-1-2-2-2-2-2-122-2-2-1-1-11121111-1-12-211122-2-211-1-1-1-1-1-1-1-1111100000000000000-220002-20011-1-100001-100
χ2722222-1-2-22222-1-12-1-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-122111-2-222-1-111-1-11111-1-1-1-1000000000000002-20002-20011-1-10000-1100
χ2822222-1-2-22222-1-12-1-2-2-2-2-2-1-2-2-2-2-1-1-11121111-1-122111-2-222-1-111-1-11111-1-1-1-100000000000000-22000-2200-1-11100001-100
χ292222-122222-1-122-12-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1002-1-100-1-1000000000000
χ302222-122222-1-122-12-1-1-1-12-122-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111100-2110011000000000000
χ312222-122222-1-122-12-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-1-22-1-11111-2-2-2-2-1-11111111122-2-2-2-211111111002-1-100-1-1000000000000
χ322222-122222-1-122-12-1-1-1-12-1-2-2-1-1-1-1-122-1-1-1-1-122-1-22-1-11111-2-2-2-2-1-111111111-2-22222-1-1-1-1-1-1-1-100-2110011000000000000
χ332222-12-2-222-1-122-121111-2-12211-1-1-1-2-2-1111122-1-2-211-1-111-2-222-1-1-1-1-1-111112222-2-2-1-1-1-1111100-2-1-10011000000000000
χ342222-12-2-222-1-122-121111-2-12211-1-1-1-2-2-1111122-1-2-211-1-111-2-222-1-1-1-1-1-11111-2-2-2-2221111-1-1-1-10021100-1-1000000000000
χ352222-12-2-222-1-122-121111-2-1-2-211-1-1-1-2-2-1111122-12-21111-1-122-2-2-1-11111-1-1-1-122-2-2221111-1-1-1-100-2-1-10011000000000000
χ362222-12-2-222-1-122-121111-2-1-2-211-1-1-1-2-2-1111122-12-21111-1-122-2-2-1-11111-1-1-1-1-2-222-2-2-1-1-1-111110021100-1-1000000000000
χ372-2-2222002-2-2-22-22-20000022i−2i002-2-200200002-2-200002i−2i00002i−2i2-22i2i−2i−2i00002-22i−2i002i2i−2i−2i00000002-20000000000000000
χ382-2-2222002-2-2-22-22-20000022i−2i002-2-200200002-2-200002i−2i00002i−2i2-22i2i−2i−2i0000-22−2i2i00−2i−2i2i2i0000000-220000000000000000
χ392-2-2222002-2-2-22-22-2000002−2i2i002-2-200200002-2-20000−2i2i0000−2i2i2-2−2i−2i2i2i00002-2−2i2i00−2i−2i2i2i00000002-20000000000000000
χ402-2-2222002-2-2-22-22-2000002−2i2i002-2-200200002-2-20000−2i2i0000−2i2i2-2−2i−2i2i2i0000-222i−2i002i2i−2i−2i0000000-220000000000000000
χ412-2-22-12002-2112-2-1-2−i3−i3i3i30-12i−2i−i3i3-11100-1−i3−i3i3i32-2100−i3i3−ii3−3002i−2i-11−i−iii33−3−32-22i−2i00−i−iii33−3−3000-1100−i3i3000000000000
χ422-2-22-12002-2112-2-1-2−i3−i3i3i30-12i−2i−i3i3-11100-1−i3−i3i3i32-2100−i3i3−ii3−3002i−2i-11−i−iii33−3−3-22−2i2i00ii−i−i−3−3330001-100i3−i3000000000000
χ432-2-22-12002-2112-2-1-2−i3−i3i3i30-1−2i2i−i3i3-11100-1−i3−i3i3i32-2100−i3i3i−i−3300−2i2i-11ii−i−i−3−3332-2−2i2i00ii−i−i−3−333000-1100−i3i3000000000000
χ442-2-22-12002-2112-2-1-2−i3−i3i3i30-1−2i2i−i3i3-11100-1−i3−i3i3i32-2100−i3i3i−i−3300−2i2i-11ii−i−i−3−333-222i−2i00−i−iii33−3−30001-100i3−i3000000000000
χ452-2-22-12002-2112-2-1-2i3i3−i3−i30-12i−2ii3−i3-11100-1i3i3−i3−i32-2100i3−i3−ii−33002i−2i-11−i−iii−3−3332-22i−2i00−i−iii−3−333000-1100i3−i3000000000000
χ462-2-22-12002-2112-2-1-2i3i3−i3−i30-12i−2ii3−i3-11100-1i3i3−i3−i32-2100i3−i3−ii−33002i−2i-11−i−iii−3−333-22−2i2i00ii−i−i33−3−30001-100−i3i3000000000000
χ472-2-22-12002-2112-2-1-2i3i3−i3−i30-1−2i2ii3−i3-11100-1i3i3−i3−i32-2100i3−i3i−i3−300−2i2i-11ii−i−i33−3−32-2−2i2i00ii−i−i33−3−3000-1100i3−i3000000000000
χ482-2-22-12002-2112-2-1-2i3i3−i3−i30-1−2i2ii3−i3-11100-1i3i3−i3−i32-2100i3−i3i−i3−300−2i2i-11ii−i−i33−3−3-222i−2i00−i−iii−3−3330001-100−i3i3000000000000
χ4944444-244-4-444-2-24-24444-4-200-4-4-2-2-2-2-2-4-2-2-2-222-4022200000000220000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-24-2-4-4-4-44-20044-2-2-222-4222222-40-2-2-200000000220000000000000000000000000000000000000000000
χ514444-2444-4-4-2-244-24-2-2-2-2-4-20022-2-2-2442-2-2-2-2-4-420-42200000000220000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-244-2422224-200-2-2-2-2-2-4-422222-4-4204-2-200000000220000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-24144-2-2111-2-2-21111-2-2-24-211-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-241-4-4-2-2111-2-2-21111-2-2-2-4-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-410022111-2-22111122202-1-100000000-1-13-33-33-33-300000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-410022111-2-22111122202-1-100000000-1-1-33-33-33-3300000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222-41442211122-2-1-1-1-1-2-2-2-42-1-1-2-22222-2-2111111-1-1-1-100000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-22222-41-4-42211122-2-1-1-1-1-2-2-242-1-122-2-2-2-22211-1-1-1-1111100000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-2111222-1-1-1-12220-21100000000-1-13-33-3-33-3300000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-2111222-1-1-1-12220-21100000000-1-1-33-333-33-300000000000000000000000000000000000
χ6144-4-44400004-4-4-4-440000040000-44-4000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000
χ6244-4-44400004-4-4-4-440000040000-44-40000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000
χ6344-4-4-240000-22-4-42423−2323−230-200002-2200023−2323−2300000000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i2000000000000000000000
χ6444-4-4-240000-22-4-42423−2323−230-200002-2200023−2323−23000000000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i2000000000000000000000
χ6544-4-4-240000-22-4-424−2323−23230-200002-22000−2323−232300000000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i2000000000000000000000
χ6644-4-4-240000-22-4-424−2323−23230-200002-22000−2323−2323000000000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i2000000000000000000000
χ674-44-4444i−4i00-44-44-4-44i−4i−4i4i040000-4-444i−4i04i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ684-44-444−4i4i00-44-44-4-4−4i4i4i−4i040000-4-44−4i4i0−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ694-44-44-24i−4i00-442-2-424i−4i−4i4i0-2000022-2−2i2i0−2i2i2i−2i0000000000000000000000000000000000000000000000006−6i6−i600000000
χ704-44-44-24i−4i00-442-2-424i−4i−4i4i0-2000022-2−2i2i0−2i2i2i−2i000000000000000000000000000000000000000000000000−66−i6i600000000
χ714-44-44-2−4i4i00-442-2-42−4i4i4i−4i0-2000022-22i−2i02i−2i−2i2i0000000000000000000000000000000000000000000000006−6−i6i600000000
χ724-44-44-2−4i4i00-442-2-42−4i4i4i−4i0-2000022-22i−2i02i−2i−2i2i000000000000000000000000000000000000000000000000−66i6−i600000000
χ734-44-4-244i−4i002-2-442-4−2i2i2i−2i0-2000022-24i−4i0−2i2i2i−2i00000000000000000000000000000006−6−66i6−i6−i6i6000000000000000000000
χ744-44-4-244i−4i002-2-442-4−2i2i2i−2i0-2000022-24i−4i0−2i2i2i−2i0000000000000000000000000000000−666−6−i6i6i6−i6000000000000000000000
χ754-44-4-24−4i4i002-2-442-42i−2i−2i2i0-2000022-2−4i4i02i−2i−2i2i00000000000000000000000000000006−6−66−i6i6i6−i6000000000000000000000
χ764-44-4-24−4i4i002-2-442-42i−2i−2i2i0-2000022-2−4i4i02i−2i−2i2i0000000000000000000000000000000−666−6i6−i6−i6i6000000000000000000000
χ774-4-444400-44-4-44-44-400000400004-4-400-40000-444000000000000-440000000000000000000000000000000000000000000
χ784-4-444-2004-4-4-4-224200000-24i−4i00-2220040000-22-400004i−4i0000−2i2i-22−2i−2i2i2i000000000000000000000000000000000000000
χ794-4-444-2004-4-4-4-224200000-2−4i4i00-2220040000-22-40000−4i4i00002i−2i-222i2i−2i−2i000000000000000000000000000000000000000
χ804-4-444-200-44-4-4-224200000-20000-22200-400002-240000000023−23002-2000023−23−232300000000000000000000000000000000000
χ814-4-444-200-44-4-4-224200000-20000-22200-400002-2400000000−2323002-20000−232323−2300000000000000000000000000000000000
χ824-4-44-2400-44224-4-2-4−2i3−2i32i32i30-2002i3−2i3-222002−2i3−2i32i32i3-44-2002i3−2i3000000002-20000000000000000000000000000000000000000000
χ834-4-44-2400-44224-4-2-42i32i3−2i3−2i30-200−2i32i3-2220022i32i3−2i3−2i3-44-200−2i32i3000000002-20000000000000000000000000000000000000000000
χ844-4-44-2-2004-422-22-22−2i3−2i32i32i3014i−4i−2i32i31-1-100-2i3i3−i3−i3-22200i3−i3−2i2i23−2300−2i2i1-1ii−i−i−3−33300000000000000000000000000000000000
χ854-4-44-2-2004-422-22-22−2i3−2i32i32i301−4i4i−2i32i31-1-100-2i3i3−i3−i3-22200i3−i32i−2i−2323002i−2i1-1−i−iii33−3−300000000000000000000000000000000000
χ864-4-44-2-2004-422-22-222i32i3−2i3−2i3014i−4i2i3−2i31-1-100-2−i3−i3i3i3-22200−i3i3−2i2i−232300−2i2i1-1ii−i−i33−3−300000000000000000000000000000000000
χ874-4-44-2-2004-422-22-222i32i3−2i3−2i301−4i4i2i3−2i31-1-100-2−i3−i3i3i3-22200−i3i32i−2i23−23002i−2i1-1−i−iii−3−33300000000000000000000000000000000000
χ884-4-44-2-200-4422-22-22−2i3−2i32i32i301002i3−2i31-1-1002i3i3−i3−i32-2-200−i3i3000023−2300-11−3i3i3i−3i−333−300000000000000000000000000000000000
χ894-4-44-2-200-4422-22-22−2i3−2i32i32i301002i3−2i31-1-1002i3i3−i3−i32-2-200−i3i30000−232300-113i−3i−3i3i3−3−3300000000000000000000000000000000000
χ904-4-44-2-200-4422-22-222i32i3−2i3−2i30100−2i32i31-1-1002−i3−i3i3i32-2-200i3−i3000023−2300-113i−3i−3i3i−333−300000000000000000000000000000000000
χ914-4-44-2-200-4422-22-222i32i3−2i3−2i30100−2i32i31-1-1002−i3−i3i3i32-2-200i3−i30000−232300-11−3i3i3i−3i3−3−3300000000000000000000000000000000000
χ9288-8-88-400008-844-8-400000-400004-440000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-40000-44444-443−4343−43020000-22-2000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-40000-44444-4−4343−4343020000-22-200023−2323−23000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-48i−8i004-44-444−4i4i4i−4i020000-2-22−4i4i02i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4−8i8i004-44-4444i−4i−4i4i020000-2-224i−4i0−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000

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