Finite Group Databasebeta

← Group #11889702

Character table — Group #11889702

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666622344666666612121212121212121212121222466666612121212121212121212121212122446688121224446668121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-11-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-111111111-1-111-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-11-11-111-1-11-1-111-1-111111-1-1-1
χ611111111111111111-1-111111111-1-111-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-1111
χ711111111111111111-1-111111111-1-111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-11111-111-1-1-11-1-11111-1-1-1-1-1-11-111
χ811111111111111111-1-111111111-1-111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-111-11-11-1-111-111-1-1111111-11-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-11-11-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-111-11-111111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111-11
χ1311111111111111-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-11-11111-1-1-11-11-1-1-1-111111-1-1-1-111-111-1
χ1411111111111111-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-11-111-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ1511111111111111-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-111111-11-1-111111-1-11111-1-1-1-111-1-111-1-1-11-11
χ1611111111111111-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111-1-111111-11-1-1-1-1111-11-11111-1-1-1-1-111-1-1111-11-1
χ17222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2220000000220000-2-22200002-2-22200-2-200000020-200000000000000
χ18222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-2220000-222-2-20022000000-20200000000000000
χ19222222-2-2222222002-220000222-222-2-2222222-2220000000-2-20000-2-2-2-20000-2-22220022000000-20-200000000000000
χ20222222-2-2222222002-220000222-222-2-2222222-2-2-20000000-2-20000-2-2-2-2000022-2-2-200-2-200000020200000000000000
χ2122222-12222-1-1-1222-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1222-1-100-1-12200-1-1-10-1-1-1000000000000
χ2222222-12222-1-1-1222-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12-2-2222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-2-2110011-2-2001110111000000000000
χ2322222-12222-1-1-1222-1-2-2-1-1-1-1-1-1-1211-1-1-2-21111222-222-1-1-1-1-2111-2-2-1-1111111-22-2-1-100112-200-1-110-111000000000000
χ2422222-12222-1-1-1222-1-2-2-1-1-1-1-1-1-1211-1-1-2-211112-2-2-222-1-1-1-1-2111-2-2-1-11111112-221100-1-1-220011-101-1-1000000000000
χ2522222-12222-1-1-12-2-2-1221111-1-1-12-1-1-1-122-1-1-1-1222-2-2-211112-111-2-2-1-1-1-11111222-1-100-1-1-2-20011-10-111000000000000
χ2622222-12222-1-1-12-2-2-1221111-1-1-12-1-1-1-122-1-1-1-12-2-2-2-2-211112-111-2-2-1-1-1-11111-2-2-21100112200-1-1101-1-1000000000000
χ2722222-12222-1-1-12-2-2-1-2-21111-1-1-1211-1-1-2-211112222-2-21111-21-1-122-1-111-1-1-1-1-22-2-1-10011-22001110-1-1-1000000000000
χ2822222-12222-1-1-12-2-2-1-2-21111-1-1-1211-1-1-2-211112-2-22-2-21111-21-1-122-1-111-1-1-1-12-221100-1-12-200-1-1-10111000000000000
χ2922222-1-2-222-1-1-1200-12-2−i3−i3i3i3-1-1-1-21111-2-21111-222000−i3−i3i3i32-1−i3i30011-1-1−i3−i3i3i32-2-2-1-100110000−i3i3-101−i3i3000000000000
χ3022222-1-2-222-1-1-1200-12-2−i3−i3i3i3-1-1-1-21111-2-21111-2-2-2000−i3−i3i3i32-1−i3i30011-1-1−i3−i3i3i3-2221100-1-10000i3−i310-1i3−i3000000000000
χ3122222-1-2-222-1-1-1200-12-2i3i3−i3−i3-1-1-1-21111-2-21111-222000i3i3−i3−i32-1i3−i30011-1-1i3i3−i3−i32-2-2-1-100110000i3−i3-101i3−i3000000000000
χ3222222-1-2-222-1-1-1200-12-2i3i3−i3−i3-1-1-1-21111-2-21111-2-2-2000i3i3−i3−i32-1i3−i30011-1-1i3i3−i3−i3-2221100-1-10000−i3i310-1−i3i3000000000000
χ3322222-1-2-222-1-1-1200-1-22−i3−i3i3i3-1-1-1-2-1-11122-1-1-1-1-222000−i3−i3i3i3-21i3−i3001111i3i3−i3−i3-2-22-1-100-1-10000−i3i3101i3−i3000000000000
χ3422222-1-2-222-1-1-1200-1-22−i3−i3i3i3-1-1-1-2-1-11122-1-1-1-1-2-2-2000−i3−i3i3i3-21i3−i3001111i3i3−i3−i322-21100110000i3−i3-10-1−i3i3000000000000
χ3522222-1-2-222-1-1-1200-1-22i3i3−i3−i3-1-1-1-2-1-11122-1-1-1-1-222000i3i3−i3−i3-21−i3i3001111−i3−i3i3i3-2-22-1-100-1-10000i3−i3101−i3i3000000000000
χ3622222-1-2-222-1-1-1200-1-22i3i3−i3−i3-1-1-1-2-1-11122-1-1-1-1-2-2-2000i3i3−i3−i3-21−i3i3001111−i3−i3i3i322-21100110000−i3i3-10-1i3−i3000000000000
χ372222-1222-1-1222-122-1222222-1-1-1-12222-1-1-1-1-1-1-1002-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100000220000220002000-1-1-1-10000-1-100
χ382222-1222-1-1222-122-1222222-1-1-1-12222-1-1-1-1-1-1-1002-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100000-2-20000-2-2000-2000111100001100
χ392222-1222-1-1222-122-1-2-22222-1-1-1-1-2-222111111-100-2-1-1-1-1-1-11-2-2-211-1-1111111000002200002-2000-2000-1-1110000-1100
χ402222-1222-1-1222-122-1-2-22222-1-1-1-1-2-222111111-100-2-1-1-1-1-1-11-2-2-211-1-111111100000-2-20000-22000200011-1-100001-100
χ412222-1222-1-1222-1-2-2-122-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-100-2111111-12-2-211-1-1-1-1111100000220000-2-20002000-1-1-1-100001100
χ422222-1222-1-1222-1-2-2-122-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-100-2111111-12-2-211-1-1-1-1111100000-2-2000022000-200011110000-1-100
χ432222-1222-1-1222-1-2-2-1-2-2-2-2-2-2-1-1-1-1-2-222111111-10021111111-222-1-1-1-111-1-1-1-100000220000-22000-2000-1-11100001-100
χ442222-1222-1-1222-1-2-2-1-2-2-2-2-2-2-1-1-1-1-2-222111111-10021111111-222-1-1-1-111-1-1-1-100000-2-200002-2000200011-1-10000-1100
χ452-22-2222-22-2-2-22-22-22002-22-22-2-22002-2000000-20002-22-22-20000002-20000000000000000000000000000002i−2i2i−2i0000
χ462-22-2222-22-2-2-22-22-22002-22-22-2-22002-2000000-20002-22-22-20000002-2000000000000000000000000000000−2i2i−2i2i0000
χ472-22-2222-22-2-2-22-2-22200-22-222-2-22002-2000000-2000-22-22-220000002-20000000000000000000000000000002i−2i−2i2i0000
χ482-22-2222-22-2-2-22-2-22200-22-222-2-22002-2000000-2000-22-22-220000002-2000000000000000000000000000000−2i2i2i−2i0000
χ494444-24-4-4-2-2444-200-24-40000-2-2-22-4-4-4-42222222000000000-24000022-2-2000000000000000000000000000000000000
χ504444-24-4-4-2-2444-200-2-440000-2-2-2244-4-4-2-2-2-2-2-220000000002-400002222000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-21111-2004-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111-222-2-222-1-1-1-1-200-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-21111-200-422-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-41-4-42222111-222-2-222-1-1-1-1-200422-1-1-1-122-2-2-2-211-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i31112222222-1-1-1-1200000i3i3−i3−i3-2-2−2i32i300-1-111i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i31112222222-1-1-1-1200000−i3−i3i3i3-2-22i3−2i300-1-111−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i31112-2-222-2-21111200000i3i3−i3−i3222i3−2i300-1-1-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i31112-2-222-2-21111200000−i3−i3i3i322−2i32i300-1-1-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-444-4-4-4004000000-44-40000000000004-40000000000000000000000004-4000000000000000000000000000
χ6044-4-44400-444-4-4-4004000000-44-4000000000000-44000000000000000000000000-44000000000000000000000000000
χ6144-4-44-200-44-222-400-20000002-22023−2300002323−23−2304-4000000000000000000000000-220023−2300000000000000000000000
χ6244-4-44-200-44-222-400-20000002-22023−2300002323−23−230-440000000000000000000000002-200−232300000000000000000000000
χ6344-4-44-200-44-222-400-20000002-220−23230000−23−23232304-4000000000000000000000000-2200−232300000000000000000000000
χ6444-4-44-200-44-222-400-20000002-220−23230000−23−2323230-440000000000000000000000002-20023−2300000000000000000000000
χ654-44-444-444-4-4-44-40040000004-4-4-400-440000004000000000000000-4400000000000000000000000000000000000000
χ664-44-44-24-44-422-2-44-4-200-22-22-222400-22000000-40004-4-22-22000000-2200000000000000000000000000000000000000
χ674-44-44-24-44-422-2-4-44-2002-22-2-222400-22000000-4000-442-22-2000000-2200000000000000000000000000000000000000
χ684-44-44-2-444-422-2-400-200−2i32i32i3−2i3-222-4002-2000000400000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ694-44-44-2-444-422-2-400-2002i3−2i3−2i32i3-222-4002-20000004000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ704-44-4-244-4-22-4-4424-4-2004-44-4-222-2004-40000002000-22-22-22000000-2200000000000000000000000000000000000000
χ714-44-4-244-4-22-4-442-44-200-44-44-222-2004-400000020002-22-22-2000000-2200000000000000000000000000000000000000
χ724-44-4-24-44-22-4-44200-2000000-222200-44000000-2000000000000023−232-20023−2323−2300000000000000000000000000000000
χ734-44-4-24-44-22-4-44200-2000000-222200-44000000-20000000000000−23232-200−2323−232300000000000000000000000000000000
χ744-44-4-2-24-4-2222-224-4100-22-221-1-1-200-22003i−3i3i−3i2000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ754-44-4-2-24-4-2222-224-4100-22-221-1-1-200-2200−3i3i−3i3i2000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ764-44-4-2-24-4-2222-22-441002-22-21-1-1-200-22003i−3i3i−3i20002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000
χ774-44-4-2-24-4-2222-22-441002-22-21-1-1-200-2200−3i3i−3i3i20002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000
χ784-44-4-2-2-44-2222-2200100−2i32i32i3−2i31-1-12002-2003i−3i3i−3i-200000i3−i3−i3i3000023−23-11−3i3i−33−3300000000000000000000000000000000
χ794-44-4-2-2-44-2222-2200100−2i32i32i3−2i31-1-12002-200−3i3i−3i3i-200000i3−i3−i3i30000−2323-113i−3i3−33−300000000000000000000000000000000
χ804-44-4-2-2-44-2222-22001002i3−2i3−2i32i31-1-12002-2003i−3i3i−3i-200000−i3i3i3−i30000−2323-11−3i3i3−33−300000000000000000000000000000000
χ814-44-4-2-2-44-2222-22001002i3−2i3−2i32i31-1-12002-200−3i3i−3i3i-200000−i3i3i3−i3000023−23-113i−3i−33−3300000000000000000000000000000000
χ824-4-444400-4-4-44-44004000000-4-44000000000000000000000000000000000000000022−22000000000000022−220000000000
χ834-4-444400-4-4-44-44004000000-4-440000000000000000000000000000000000000000−22220000000000000−22220000000000
χ844-4-44-240022-44-4-200-200000022-200000−2i32i3−2i32i32i3−2i30000000000000000000000000000022−220000000000000−22i6−i600000000
χ854-4-44-240022-44-4-200-200000022-200000−2i32i3−2i32i32i3−2i300000000000000000000000000000−222200000000000002−2−i6i600000000
χ864-4-44-240022-44-4-200-200000022-2000002i3−2i32i3−2i3−2i32i30000000000000000000000000000022−220000000000000−22−i6i600000000
χ874-4-44-240022-44-4-200-200000022-2000002i3−2i32i3−2i3−2i32i300000000000000000000000000000−222200000000000002−2i6−i600000000
χ8888-8-8-48004-48-8-8400-40000004-440000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-4444002000000-22-2043−430000−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4004-4-4444002000000-22-20−434300002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-8-84-44800-400000044-40000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-4002000000-2-2200000−4i34i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400444-44-4002000000-2-22000004i3−4i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000

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