Finite Group Databasebeta

← Group #11872531

Character table — Group #11872531

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242424444466881212121212121212124481212121212121224242424224488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-11111111-1-1-1-111111-11-1111-1-1-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-111111-1-11111-1-1-11-1-111-1-1-1-1-1-111-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-111-1-1-111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-111-1-1111-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11-1-111-1-1111-111-1-11111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000200-200220022-2-20000000000-20000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200200-2-20022-2-20000000000200000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000200-2002200-2-2220000000000-200000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200200-2-200-2-222000000000020000000000-220000
χ2122222-122-122-1-12-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1200222-1-1220000-1-1-1-1-1020-1-1-1000000-1-1000000-10
χ2222222-122-122-1-12-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1-200-2-2-211-2-20000-1-1-1-1-10-201110000001100000010
χ2322222-122-122-1-12-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111200222-1-1-2-200001-1-1110-20-1-1-10000001100000010
χ2422222-122-122-1-12-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111-200-2-2-2112200001-1-111020111000000-1-1000000-10
χ2522222-122-122-1-12-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-21111112002-2-2-1-1-2-20000-111-1-102011-100000011000000-10
χ2622222-122-122-1-12-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-2111111-200-22211220000-111-1-10-20-1-11000000-1-100000010
χ2722222-122-122-1-12-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-12002-2-2-1-1220000111110-2011-1000000-1-100000010
χ2822222-122-122-1-12-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-1-200-22211-2-2000011111020-1-1100000011000000-10
χ292222-12222-1-122-1-122-1-1-12-12-1222222-1-1-1-122-1-1-1-122-1-1-1-10220000000-1-1-1-12-1-1-1-1202000-1-1-1-1-1-10000000000
χ302222-12222-1-122-1-122-1-1-12-12-12222-2-2-1-11122-1-111-2-211110220000000-1-1-1-1-2-1-111-20-2000-1-111110000000000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-10-2-2000000011112-1-1-1-1-20-20001111110000000000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-2-2-2-2-2-1-11122-1-111-2-211110-2-200000001111-2-1-11120200011-1-1-1-10000000000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-122222-211-1-1-2-2-1-111-2-211110-2-20000000-1-1-1-1211-1-120-200011-1-1110000000000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-12222-221111-2-2-1-1-1-122-1-1-1-10-2-20000000-1-1-1-1-21111-2020001111-1-10000000000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-22-211-1-1-2-2-1-111-2-2111102200000001111211-1-1-202000-1-111-1-10000000000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-102200000001111-2111120-2000-1-1-1-1110000000000
χ372-22-2222-2-2-2-2-2222002-2-2-2-2222i−2i2i−2i000000002-20000000000002i−2i00002i−2i2i−2i000000002i−2i0000000002-2000000
χ382-22-2222-2-2-2-2-2222002-2-2-2-2222i−2i2i−2i000000002-2000000000000−2i2i00002i−2i2i−2i00000000−2i2i000000000-22000000
χ392-22-2222-2-2-2-2-2222002-2-2-2-222−2i2i−2i2i000000002-20000000000002i−2i0000−2i2i−2i2i000000002i−2i000000000-22000000
χ402-22-2222-2-2-2-2-2222002-2-2-2-222−2i2i−2i2i000000002-2000000000000−2i2i0000−2i2i−2i2i00000000−2i2i0000000002-2000000
χ412-22-222-22-2-2-2-22222i−2i2-2-222-2-22i−2i−2i2i002i−2i002i−2i-220000000002-200000002i−2i−2i2i02i−2i000000002-200000000000000
χ422-22-222-22-2-2-2-22222i−2i2-2-222-2-2−2i2i2i−2i002i−2i002i−2i-22000000000-220000000−2i2i2i−2i02i−2i00000000-2200000000000000
χ432-22-222-22-2-2-2-2222−2i2i2-2-222-2-22i−2i−2i2i00−2i2i00−2i2i-22000000000-2200000002i−2i−2i2i0−2i2i00000000-2200000000000000
χ442-22-222-22-2-2-2-2222−2i2i2-2-222-2-2−2i2i2i−2i00−2i2i00−2i2i-220000000002-20000000−2i2i2i−2i0−2i2i000000002-200000000000000
χ452-22-2-12-22-211-22-1-12i−2i-1112-1-212i−2i−2i2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i302-20000000−iii−i0−ii3−3000000-11−i3i33−30000000000
χ462-22-2-12-22-211-22-1-12i−2i-1112-1-212i−2i−2i2i00−ii−332i−2i1-1i3−i300i3i3−i3−i302-20000000−iii−i0−ii−33000000-11i3−i3−330000000000
χ472-22-2-12-22-211-22-1-12i−2i-1112-1-21−2i2i2i−2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i30-220000000i−i−ii0−ii3−30000001-1i3−i3−330000000000
χ482-22-2-12-22-211-22-1-12i−2i-1112-1-21−2i2i2i−2i00−ii−332i−2i1-1i3−i300i3i3−i3−i30-220000000i−i−ii0−ii−330000001-1−i3i33−30000000000
χ492-22-2-12-22-211-22-1-1−2i2i-1112-1-212i−2i−2i2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i30-220000000−iii−i0i−i3−30000001-1−i3i3−330000000000
χ502-22-2-12-22-211-22-1-1−2i2i-1112-1-212i−2i−2i2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i30-220000000−iii−i0i−i−330000001-1i3−i33−30000000000
χ512-22-2-12-22-211-22-1-1−2i2i-1112-1-21−2i2i2i−2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i302-20000000i−i−ii0i−i3−3000000-11i3−i33−30000000000
χ522-22-2-12-22-211-22-1-1−2i2i-1112-1-21−2i2i2i−2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i302-20000000i−i−ii0i−i−33000000-11−i3i3−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-40000000000002200000000400-400-2-2000000000000000020000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-40000000000002200000000-400400220000000000000000-20000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-4244-4-40000000022000000000000000000-2-222000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-4440044-4-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-4440044-4-4-4-4400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44-24-42-4-42-24-200-2222-4-24000000000000-220000000000004i−4i0000000000000000−2i2i00000000000000000
χ644-44-44-24-42-4-42-24-200-2222-4-24000000000000-22000000000000−4i4i00000000000000002i−2i00000000000000000
χ654-44-44-2-442-4-42-24-24i−4i-222-242-40000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ664-44-44-2-442-4-42-24-2−4i4i-222-242-4000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ674-44-4-244-4-422-44-2-200-222-424-24i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ684-44-4-244-4-422-44-2-200-222-424-2−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ694-44-4-2-2-442222-2-214i−4i1-1-1-2-222000000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ704-44-4-2-2-442222-2-214i−4i1-1-1-2-222000000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ714-44-4-2-2-442222-2-21−4i4i1-1-1-2-2220000002i−2i23−232i−2i-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ724-44-4-2-2-442222-2-21−4i4i1-1-1-2-2220000002i−2i−23232i−2i-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ734-4-444400-4-444-4-4400-4-440000000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ744-4-444400-4-444-4-4400-4-4400000000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ754-4-444-2002-44-22-4-20022-2000000000000000000006−66−66−6000000−2i32i3−2i22i2000000000000000000000i2−i200000000
χ764-4-444-2002-44-22-4-20022-2000000000000000000006−66−66−60000002i3−2i32i2−2i2000000000000000000000−i2i200000000
χ774-4-444-2002-44-22-4-20022-200000000000000000000−66−66−66000000−2i32i32i2−2i2000000000000000000000−i2i200000000
χ784-4-444-2002-44-22-4-20022-200000000000000000000−66−66−660000002i3−2i3−2i22i2000000000000000000000i2−i200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-48-844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-48008-44-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-44444200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-400-4-44444200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-4-48-84444-4-42002-2-244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ858-8-88-4800-84-48-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-444200-2-220000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ878-8-88-4-40044-4-444200-2-2200000000000000000000−26266−66−600000000000000000000000000000000000000000

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