Finite Group Databasebeta

← Group #11872149

Character table — Group #11872149

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666622344446661212121212121212121212126666666612121212121212121212121212128888444424448824242424242424242224446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1111-11-1
χ611111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1111-1-1-1-1111111-1-11-1-11
χ711111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-11111-1-1-111-1
χ811111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-111-11-11
χ911111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1111111111111-11-11-1-111-1-111-1-111-1-1-1-1-11-11
χ1011111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-111-1
χ1111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-1-1-11-1-111-1-1-11111-1-1-1-111111-1-11
χ1211111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11-11-1
χ1311111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ1411111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-111-1-111
χ1511111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1111111-1-11111-1-1
χ1611111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ17222222-2-2222222002002-2222-22222-22222-2-200000000-20000-2-2-2-2-20000000022-2-20000000000000000-22000000
χ18222222-2-2222222002002-2222-22222-22222-2-200000000-20000-2-2-2-2-200000000-2-22200000000000000002-2000000
χ19222222-2-222222200200-22222-2-2-2-2-2-2-2-2-2-2-2-200000000200002-2-2220000000022-2-200000000000000002-2000000
χ20222222-2-222222200200-22222-2-2-2-2-2-2-2-2-2-2-2-200000000200002-2-22200000000-2-2220000000000000000-22000000
χ2122222-1222-12-1-1222-12222-1-1-1222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122000000220020-1-1-1-10000000000-1-100
χ2222222-1222-12-1-1222-12222-1-1-1222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2000000-2-200-20111100000000001100
χ2322222-1222-12-1-1222-1-2-2-2-2-1-1-12-2-211-111112-122-1-1-1-1-1-11-2-211-2-1-1111111220000002-200-20-1-1110000000000-1100
χ2422222-1222-12-1-1222-1-2-2-2-2-1-1-12-2-211-111112-122-1-1-1-1-1-11-2-211-2-1-1111111-2-2000000-22002011-1-100000000001-100
χ2522222-1222-12-1-12-2-2-122-2-2-1-1-12-2-211-111112-1-2-2111111122-1-1-2-1-111-1-1-1-122000000-2200-20-1-11100000000001-100
χ2622222-1222-12-1-12-2-2-122-2-2-1-1-12-2-211-111112-1-2-2111111122-1-1-2-1-111-1-1-1-1-2-20000002-2002011-1-10000000000-1100
χ2722222-1222-12-1-12-2-2-1-2-222-1-1-1222-1-1-1-1-1-1-12-1-2-2111111-1-2-2112-1-1-1-1111122000000-2-20020-1-1-1-100000000001100
χ2822222-1222-12-1-12-2-2-1-2-222-1-1-1222-1-1-1-1-1-1-12-1-2-2111111-1-2-2112-1-1-1-11111-2-20000002200-2011110000000000-1-100
χ292222-1222-12-122-122-12222-1-1-1-1-1-1222-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1002200000022020000-1-1-1-100000000-1-1
χ302222-1222-12-122-122-12222-1-1-1-1-1-1222-1-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-100-2-2000000-2-20-2000011110000000011
χ312222-1222-12-122-122-1-2-2-2-2-1-1-1-111-2-221111-12-1-122-1-1-1-1-211-2-21-1-111111100220000002-20-20000-1-11100000000-11
χ322222-1222-12-122-122-1-2-2-2-2-1-1-1-111-2-221111-12-1-122-1-1-1-1-211-2-21-1-111111100-2-2000000-2202000011-1-1000000001-1
χ332222-1222-12-122-1-2-2-122-2-2-1-1-1-111-2-221111-1211-2-21111-2-1-1221-1-111-1-1-1-10022000000-220-20000-1-111000000001-1
χ342222-1222-12-122-1-2-2-122-2-2-1-1-1-111-2-221111-1211-2-21111-2-1-1221-1-111-1-1-1-100-2-20000002-202000011-1-100000000-11
χ352222-1222-12-122-1-2-2-1-2-222-1-1-1-1-1-1222-1-1-1-1-1211-2-21111211-2-2-1-1-1-1-111110022000000-2-2020000-1-1-1-10000000011
χ362222-1222-12-122-1-2-2-1-2-222-1-1-1-1-1-1222-1-1-1-1-1211-2-21111211-2-2-1-1-1-1-1111100-2-2000000220-20000111100000000-1-1
χ372-22-2222-22-2-2-22-20022i−2i002-2-2-20000200002-20000000002i−2i2i−2i02-2002i2i−2i−2i00002i−2i2i−2i000000000000002-200000000
χ382-22-2222-22-2-2-22-20022i−2i002-2-2-20000200002-20000000002i−2i2i−2i02-2002i2i−2i−2i0000−2i2i−2i2i00000000000000-2200000000
χ392-22-2222-22-2-2-22-2002−2i2i002-2-2-20000200002-2000000000−2i2i−2i2i02-200−2i−2i2i2i00002i−2i2i−2i00000000000000-2200000000
χ402-22-2222-22-2-2-22-2002−2i2i002-2-2-20000200002-2000000000−2i2i−2i2i02-200−2i−2i2i2i0000−2i2i−2i2i000000000000002-200000000
χ412-22-222-222-2-2-22-22-2200002-2-220000-20000-222-22-222-2-2000000-2200000000002i−2i−2i2i0000000000000000002i−2i0000
χ422-22-222-222-2-2-22-22-2200002-2-220000-20000-222-22-222-2-2000000-220000000000−2i2i2i−2i000000000000000000−2i2i0000
χ432-22-222-222-2-2-22-2-22200002-2-220000-20000-22-22-22-2-222000000-2200000000002i−2i−2i2i000000000000000000−2i2i0000
χ442-22-222-222-2-2-22-2-22200002-2-220000-20000-22-22-22-2-222000000-220000000000−2i2i2i−2i0000000000000000002i−2i0000
χ4544444-2-4-44-24-2-2400-2004-4-2-2-2-444-2-22-2-2-2-2-420000000020000-42222000000000000000000000000000000000000
χ4644444-2-4-44-24-2-2400-200-44-2-2-2-4-4-42222222-4200000000-20000422-2-2000000000000000000000000000000000000
χ474444-24-4-4-24-244-200-2004-4-2-2-22-2-244-4-2-2-2-22-400000000-4000022222000000000000000000000000000000000000
χ484444-24-4-4-24-244-200-200-44-2-2-2222-4-4-422222-40000000040000-222-2-2000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24414444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441-4-4-4-4111-22222-2-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4144-4-4111-22222-2-1-1-1-1-2-22222-1-1-1-12-2-2-2-2211-1-1111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41-4-444111-2-2-2-2-2-21111-2-22222-1-1-1-1-22222-21111-1-1-1-100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2001004-41112-2-2-2-2211112200003-33-3200002-1-1-1-13-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2001004-41112-2-2-2-221111220000-33-33200002-1-1-1-1-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-200100-44111222222-1-1-1-12200003-33-3-20000-2-1-111-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-200100-44111222222-1-1-1-1220000-33-33-20000-2-1-1113-33-300000000000000000000000000000000
χ5744-4-44400-4-444-4-40040000-4-44000000000000000000000000000000000000−2i22i200000000000000−2i22i2000000000000
χ5844-4-44400-4-444-4-40040000-4-440000000000000000000000000000000000002i2−2i2000000000000002i2−2i2000000000000
χ5944-4-4-24002-4-24-4200-2000022-20−2i32i3000−2i3−2i32i32i300000000000000000000000000−2i22i200000000000000i2−i26−60000000000
χ6044-4-4-24002-4-24-4200-2000022-20−2i32i3000−2i3−2i32i32i3000000000000000000000000002i2−2i200000000000000−i2i2−660000000000
χ6144-4-4-24002-4-24-4200-2000022-202i3−2i30002i32i3−2i3−2i300000000000000000000000000−2i22i200000000000000i2−i2−660000000000
χ6244-4-4-24002-4-24-4200-2000022-202i3−2i30002i32i3−2i3−2i3000000000000000000000000002i2−2i200000000000000−i2i26−60000000000
χ634-44-44-24-442-42-2-400-24i−4i00-222-40000-20000420000000004i−4i−2i2i0-2200−2i−2i2i2i00000000000000000000000000000000
χ644-44-44-24-442-42-2-400-2−4i4i00-222-40000-2000042000000000−4i4i2i−2i0-22002i2i−2i−2i00000000000000000000000000000000
χ654-44-44-2-4442-42-2-44-4-20000-2224000020000-4-24-4-22-2-2220000002-200000000000000000000000000000000000000
χ664-44-44-2-4442-42-2-4-44-20000-2224000020000-4-2-442-222-2-20000002-200000000000000000000000000000000000000
χ674-44-4-244-4-2-42-44200-24i−4i00-2222000040000-2-4000000000−2i2i4i−4i0-2200−2i−2i2i2i00000000000000000000000000000000
χ684-44-4-244-4-2-42-44200-2−4i4i00-2222000040000-2-40000000002i−2i−4i4i0-22002i2i−2i−2i00000000000000000000000000000000
χ694-44-4-24-44-2-42-4424-4-20000-222-20000-4000024-224-4-2-2220000002-200000000000000000000000000000000000000
χ704-44-4-24-44-2-42-442-44-20000-222-20000-40000242-2-4422-2-20000002-200000000000000000000000000000000000000
χ714-44-4-2-24-4-2222-220014i−4i001-1-120000-23i−3i3i−3i-2200003-3-330−2i2i−2i2i01-13i−3iii−i−i00000000000000000000000000000000
χ724-44-4-2-24-4-2222-220014i−4i001-1-120000-2−3i3i−3i3i-220000-333-30−2i2i−2i2i01-1−3i3iii−i−i00000000000000000000000000000000
χ734-44-4-2-24-4-2222-22001−4i4i001-1-120000-23i−3i3i−3i-220000-333-302i−2i2i−2i01-13i−3i−i−iii00000000000000000000000000000000
χ744-44-4-2-24-4-2222-22001−4i4i001-1-120000-2−3i3i−3i3i-2200003-3-3302i−2i2i−2i01-1−3i3i−i−iii00000000000000000000000000000000
χ754-44-4-2-2-44-2222-224-4100001-1-1-2000023i−3i3i−3i2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i00000000000000000000000000000000
χ764-44-4-2-2-44-2222-224-4100001-1-1-200002−3i3i−3i3i2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i00000000000000000000000000000000
χ774-44-4-2-2-44-2222-22-44100001-1-1-2000023i−3i3i−3i2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i00000000000000000000000000000000
χ784-44-4-2-2-44-2222-22-44100001-1-1-200002−3i3i−3i3i2-22-22-2-1-111000000-113i−3i3i−3i−3i3i00000000000000000000000000000000
χ794-4-444400-44-4-4-440040000-44-4000000000000000000000000000000000022−2200000000000022−220000000000000000
χ804-4-444400-44-4-4-440040000-44-40000000000000000000000000000000000−2222000000000000−22220000000000000000
χ814-4-444-200-4-2-422400-200002-2200023−23023−23−232300000000000000000000000022−22000000000000−226−600000000000000
χ824-4-444-200-4-2-422400-200002-2200023−23023−23−2323000000000000000000000000−22220000000000002−2−6600000000000000
χ834-4-444-200-4-2-422400-200002-22000−23230−232323−2300000000000000000000000022−22000000000000−22−6600000000000000
χ844-4-444-200-4-2-422400-200002-22000−23230−232323−23000000000000000000000000−22220000000000002−26−600000000000000
χ8588-8-88-400-848-44-800-4000044-4000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-4-4440020000-2-220−4i34i30002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-4-4440020000-2-2204i3−4i3000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ888-8-88-4800484-8-8-400-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-4444-40020000-22-200043−430−232323−2300000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004-4444-40020000-22-2000−4343023−23−232300000000000000000000000000000000000000000000000000000000

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