Finite Group Databasebeta

← Group #11873338

Character table — Group #11873338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244444812121212121212122424242424242424244444881212121212121212121212446812121212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-1111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-1-1-11111111-111-111-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-111-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-11-1-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-11-1-1111-1-1-111-1-111-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111-1-111-1111-1-111-1-111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11-1-111-1-1-111111-1-1111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111-1-111111-1-1-1-111-1-1-1-1-11-11-1-1-11111-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000020000-20022-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-2000020022-2-2220000000-2000000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000020000-200-2-222-2-200000002000000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-20000200-2-222220000000-200000000000-22000000
χ2122222-122-122-1-12-122-1-1-1-12-12000022-1-12222-1-122-1-1-1-1-1-1222002220000-1-1-1-1-1-1-102-10-1-1000000-1-1000000-10
χ2222222-122-122-1-12-122-1-1-1-12-12000022-1-12222-1-122-1-1-1-1-1-1-2-2-200-2-2-2000011-1-1-1-1-10-210110000001100000010
χ2322222-122-122-1-12-122-1-1-1-12-120000-2-2-1-122-2-2-1-1-2-2111111222002-2-20000-1-11-1-1110-2-10-1-10000001100000010
χ2422222-122-122-1-12-122-1-1-1-12-120000-2-2-1-122-2-2-1-1-2-2111111-2-2-200-2220000111-1-111021011000000-1-1000000-10
χ2522222-122-122-1-12-1-2-2-1-1-1-12-1200002-211-2-222-1-1-2-21111112-2-2002-2-20000-1-1-111-1-102-101100000011000000-10
χ2622222-122-122-1-12-1-2-2-1-1-1-12-1200002-211-2-222-1-1-2-2111111-22200-222000011-111-1-10-210-1-1000000-1-100000010
χ2722222-122-122-1-12-1-2-2-1-1-1-12-120000-2211-2-2-2-2-1-122-1-1-1-1-1-12-2-2002220000-1-1111110-2-1011000000-1-100000010
χ2822222-122-122-1-12-1-2-2-1-1-1-12-120000-2211-2-2-2-2-1-122-1-1-1-1-1-1-22200-2-2-2000011111110210-1-100000011000000-10
χ292222-12222-1-122-1-122-1-1-12-12-122222222-1-1-1-1-1-1-1-122-1-1-1-100022000-1-1-1-1002-1-1-1-1200200-1-1-1-1-1-10000000000
χ302222-12222-1-122-1-122-1-1-12-12-12222-2-222-1-111-1-111-2-2111100022000-1-1-1-100-2-1-111-200-200-1-111110000000000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1000-2-20001111002-1-1-1-1-200-2001111110000000000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-2-2-2-2-222-1-111-1-111-2-21111000-2-2000111100-2-1-11120020011-1-1-1-10000000000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-122222-2-2-211-1-1-1-111-2-21111000-2-2000-1-1-1-100211-1-1200-20011-1-1110000000000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-12222-22-2-21111-1-1-1-122-1-1-1-1000-2-2000-1-1-1-100-21111-2002001111-1-10000000000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-22-2-2-211-1-1-1-111-2-2111100022000111100211-1-1-200200-1-111-1-10000000000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-100022000111100-21111200-200-1-1-1-1110000000000
χ372-2-22222-2-2-2-2-2222002-2-2-2-2222i−2i2i−2i000000002-20000000002i−2i000002i−2i2i−2i000000000002i−2i00000000002-20000
χ382-2-22222-2-2-2-2-2222002-2-2-2-2222i−2i2i−2i000000002-2000000000−2i2i000002i−2i2i−2i00000000000−2i2i0000000000-220000
χ392-2-22222-2-2-2-2-2222002-2-2-2-222−2i2i−2i2i000000002-20000000002i−2i00000−2i2i−2i2i000000000002i−2i0000000000-220000
χ402-2-22222-2-2-2-2-2222002-2-2-2-222−2i2i−2i2i000000002-2000000000−2i2i00000−2i2i−2i2i00000000000−2i2i00000000002-20000
χ412-2-2222-22-2-2-2-22222i−2i2-2-222-2-22i−2i−2i2i002i−2i2i−2i00-22000000000002-20002i−2i−2i2i0002i−2i000000002-200000000000000
χ422-2-2222-22-2-2-2-22222i−2i2-2-222-2-2−2i2i2i−2i002i−2i2i−2i00-2200000000000-22000−2i2i2i−2i0002i−2i00000000-2200000000000000
χ432-2-2222-22-2-2-2-2222−2i2i2-2-222-2-22i−2i−2i2i00−2i2i−2i2i00-2200000000000-220002i−2i−2i2i000−2i2i00000000-2200000000000000
χ442-2-2222-22-2-2-2-2222−2i2i2-2-222-2-2−2i2i2i−2i00−2i2i−2i2i00-22000000000002-2000−2i2i2i−2i000−2i2i000000002-200000000000000
χ452-2-22-12-22-211-22-1-12i−2i-1112-1-212i−2i−2i2i002i−2i−ii3−31-1−i3i300−i3−i3i3i30002-2000−iii−i000−ii3−3000000-11−i3i33−30000000000
χ462-2-22-12-22-211-22-1-12i−2i-1112-1-212i−2i−2i2i002i−2i−ii−331-1i3−i300i3i3−i3−i30002-2000−iii−i000−ii−33000000-11i3−i3−330000000000
χ472-2-22-12-22-211-22-1-12i−2i-1112-1-21−2i2i2i−2i002i−2i−ii3−31-1−i3i300−i3−i3i3i3000-22000i−i−ii000−ii3−30000001-1i3−i3−330000000000
χ482-2-22-12-22-211-22-1-12i−2i-1112-1-21−2i2i2i−2i002i−2i−ii−331-1i3−i300i3i3−i3−i3000-22000i−i−ii000−ii−330000001-1−i3i33−30000000000
χ492-2-22-12-22-211-22-1-1−2i2i-1112-1-212i−2i−2i2i00−2i2ii−i3−31-1i3−i300i3i3−i3−i3000-22000−iii−i000i−i3−30000001-1−i3i3−330000000000
χ502-2-22-12-22-211-22-1-1−2i2i-1112-1-212i−2i−2i2i00−2i2ii−i−331-1−i3i300−i3−i3i3i3000-22000−iii−i000i−i−330000001-1i3−i33−30000000000
χ512-2-22-12-22-211-22-1-1−2i2i-1112-1-21−2i2i2i−2i00−2i2ii−i3−31-1i3−i300i3i3−i3−i30002-2000i−i−ii000i−i3−3000000-11i3−i33−30000000000
χ522-2-22-12-22-211-22-1-1−2i2i-1112-1-21−2i2i2i−2i00−2i2ii−i−331-1−i3i300−i3−i3i3i30002-2000i−i−ii000i−i−33000000-11−i3i3−330000000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-4000000000000220000000040000-4000000220000000-20000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-40000000000002200000000-400004000000-2-2000000020000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-4244-4-400000000220000000000000000-2-22200000000000000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-42-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-44-4-4400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ6244-4-44400-44-44-4-4400-44-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ6344-4-44-20024-4-22-4-2002-22000000000000000000006−66−66−600000022−22000023−2300000000000000000−2200000000
χ6444-4-44-20024-4-22-4-2002-22000000000000000000006−66−66−6000000−22220000−2323000000000000000002−200000000
χ6544-4-44-20024-4-22-4-2002-2200000000000000000000−66−66−6600000022−220000−232300000000000000000−2200000000
χ6644-4-44-20024-4-22-4-2002-2200000000000000000000−66−66−66000000−2222000023−23000000000000000002−200000000
χ674-44-444004-44-4-4-4400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ684-44-444004-44-4-4-4400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ694-4-444-24-42-4-42-24-200-2222-4-24000000000000-220000000004i−4i00000000000000000000−2i2i0000000000000000
χ704-4-444-24-42-4-42-24-200-2222-4-24000000000000-22000000000−4i4i000000000000000000002i−2i0000000000000000
χ714-4-444-2-442-4-42-24-24i−4i-222-242-4000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000000
χ724-4-444-2-442-4-42-24-2−4i4i-222-242-40000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000000
χ734-4-44-244-4-422-44-2-200-222-424-24i−4i4i−4i00000000-220000000000000000−2i2i−2i2i00000000000000000000000000000
χ744-4-44-244-4-422-44-2-200-222-424-2−4i4i−4i4i00000000-2200000000000000002i−2i2i−2i00000000000000000000000000000
χ754-4-44-2-2-442222-2-214i−4i1-1-1-2-222000000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ764-4-44-2-2-442222-2-214i−4i1-1-1-2-222000000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ774-4-44-2-2-442222-2-21−4i4i1-1-1-2-2220000002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ784-4-44-2-2-442222-2-21−4i4i1-1-1-2-2220000002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800-8-448-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-44-444200-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-444200-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ838-88-88-400-4-8844-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-480084-4-8-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444200-2-220000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-400-44-4444200-2-2200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-42002-2-244-4-40000000000002-20000000000000000000000000000000000000000000000000

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