Finite Group Databasebeta

← Group #11888604

Character table — Group #11888604

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666234446666666666612121212121212124441212121212121212121212121212121212121212244881212121224446668121212242424242288121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-111-1-1-11-1-1-11111-1-1-1-111-1-1
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
χ51111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-111-1-11111-1-111-1-1-11
χ61111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111-1-11111-1-1111-1-1-11-1-1-1-1-1-111-1-1111-1
χ71111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-111111111-1-1-1-11-1
χ81111111111111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111-11
χ911111111111111-1111-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-11-111-1-1-1-11111-1-11111-11-1-1
χ1011111111111111-1111-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-111-1-1-111-11-1-11-111-1-111-1-1-1-11-111
χ1111111111111111-1111-1-1-1-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-11111-1-1111-1-11-111-11-1-111-1-1-1-1-1-1-1111
χ1211111111111111-1111-1-1-1-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1111-11-1-11111-1-1-1-11111111-1-1-1
χ1311111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-111-111-111-1-1-1-1-1-111111-1-11111-1-11-11-1111-1-1-1-111-1-1-1-1111-11-1
χ1411111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-111-111-111-1-1-1-1-1-111111-1-1-1-111-1-11-1-111111-1-1-1-1-11111-1-1-11-11
χ1511111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11-1-111-111-111-1-1-1-1-1-11111-11111-1-111-111-1-1-1-1-111111-1-111-1-11-1-11
χ1611111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11-1-111-111-111-1-1-1-1-1-11111-111-1-1-1-111-11-11-1-1-11111-1-111-1-111-111-1
χ17222222-2-22222222200-222222222222-2-20000-2-22200000-200-2-2-2-2-200000000-22-20022220000-2000-200000000000000
χ18222222-2-22222222200-222222222222-2-20000-2-2-2-200000-200-2-2-2-2-2000000002-2200-2-2-2-200002000200000000000000
χ19222222-2-2222222-22002-2-2-2-22-2-2-2-222-2-20000-2-222000002002-2-22200000000-2-220022-2-20000-2000200000000000000
χ20222222-2-2222222-22002-2-2-2-22-2-2-2-222-2-20000-2-2-2-2000002002-2-2220000000022-200-2-22200002000-200000000000000
χ2122222-1222-12-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-12200-1-1-10-1-1-1000000000000
χ2222222-1222-12-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2001110111000000000000
χ2322222-1222-12-12-12-1-2-2222-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-2-2-1112-1-1-1-11111111122200-1-1-1-1-2-200-1110-111000000000000
χ2422222-1222-12-12-12-1-2-2222-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-2-2-1112-1-1-1-111111111-2-2-200111122001-1-101-1-1000000000000
χ2522222-1222-12-12-1-2-122-2-2-211-11111-1-1-1-1-1-1-1-12222-222-2-2111-2-1-111-1-1-1-111112-2-200-1-111-2200-11101-1-1000000000000
χ2622222-1222-12-12-1-2-122-2-2-211-11111-1-1-1-1-1-1-1-122-2-2-222-2-2111-2-1-111-1-1-1-11111-2220011-1-12-2001-1-10-111000000000000
χ2722222-1222-12-12-1-2-1-2-2-2-2-211-11111-1-1-1-1111122222-2-2221-1-1-2-1-1111111-1-1-1-12-2-200-1-1112-200-1-1-10111000000000000
χ2822222-1222-12-12-1-2-1-2-2-2-2-211-11111-1-1-1-1111122-2-22-2-2221-1-1-2-1-1111111-1-1-1-1-2220011-1-1-22001110-1-1-1000000000000
χ2922222-1-2-22-12-12-12-100-222-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-222000001−i3i3-21111−i3−i3i3i3−i3−i3i3i3-22-200-1-1-1-100001−i3i301−i3i3000000000000
χ3022222-1-2-22-12-12-12-100-222-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2000001−i3i3-21111−i3−i3i3i3−i3−i3i3i32-220011110000-1i3−i30-1i3−i3000000000000
χ3122222-1-2-22-12-12-12-100-222-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-222000001i3−i3-21111i3i3−i3−i3i3i3−i3−i3-22-200-1-1-1-100001i3−i301i3−i3000000000000
χ3222222-1-2-22-12-12-12-100-222-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2000001i3−i3-21111i3i3−i3−i3i3i3−i3−i32-220011110000-1−i3i30-1−i3i3000000000000
χ3322222-1-2-22-12-12-1-2-1002-2-211-11111-1-111−i3−i3i3i3-2-22200000-1i3−i3211-1-1−i3−i3i3i3i3i3−i3−i3-2-2200-1-11100001i3−i30-1−i3i3000000000000
χ3422222-1-2-22-12-12-1-2-1002-2-211-11111-1-111−i3−i3i3i3-2-2-2-200000-1i3−i3211-1-1−i3−i3i3i3i3i3−i3−i322-20011-1-10000-1−i3i301i3−i3000000000000
χ3522222-1-2-22-12-12-1-2-1002-2-211-11111-1-111i3i3−i3−i3-2-22200000-1−i3i3211-1-1i3i3−i3−i3−i3−i3i3i3-2-2200-1-11100001−i3i30-1i3−i3000000000000
χ3622222-1-2-22-12-12-1-2-1002-2-211-11111-1-111i3i3−i3−i3-2-2-2-200000-1−i3i3211-1-1i3i3−i3−i3−i3−i3i3i322-20011-1-10000-1i3−i301−i3i3000000000000
χ372222-1222-12-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-100022000000220002000-1-1-1-10000-1-100
χ382222-1222-12-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-2000000-2-2000-2000111100001100
χ392222-1222-12-12-122-1-2-22-1-122-1-1-1-1-1-1-122-2-2-2-2-1-100-211112-2-2-1-1-1-1-11111111100022000000-2-20002000-1-1-1-100001100
χ402222-1222-12-12-122-1-2-22-1-122-1-1-1-1-1-1-122-2-2-2-2-1-100-211112-2-2-1-1-1-1-111111111000-2-200000022000-200011110000-1-100
χ412222-1222-12-12-12-2-122-211-2-2-11111-1-1222222-1-100-2-1-111-2-2-21-1-111-1-1-1-1111100022000000-22000-2000-1-11100001-100
χ422222-1222-12-12-12-2-122-211-2-2-11111-1-1222222-1-100-2-1-111-2-2-21-1-111-1-1-1-11111000-2-20000002-2000200011-1-10000-1100
χ432222-1222-12-12-12-2-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-100211-1-1-2221-1-1111111-1-1-1-1000220000002-2000-2000-1-1110000-1100
χ442222-1222-12-12-12-2-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-100211-1-1-2221-1-1111111-1-1-1-1000-2-2000000-22000200011-1-100001-100
χ452-2-22222-2-22-2-22-2022i−2i00000-200002-22-22i−2i2i−2i2-20002i−2i0000002-2002i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-2-22222-2-22-2-22-2022i−2i00000-200002-22-22i−2i2i−2i2-20002i−2i0000002-2002i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-2-22222-2-22-2-22-202−2i2i00000-200002-22-2−2i2i−2i2i2-2000−2i2i0000002-200−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-2-22222-2-22-2-22-202−2i2i00000-200002-22-2−2i2i−2i2i2-2000−2i2i0000002-200−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ494444-24-4-4-24-24-244-200-4-2-244-2-2-2-2-2-2-2-4-40000220000000-400222220000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-4-200422-4-4-22222-2-2-4-40000220000000400-222-2-20000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-2-2-2004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-241-4-44-2-2-2-21111111-2-22222-2-200-42222-222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4144-422221-1-1-1-111-2-2-2-2-2-2-2-200-4-2-222222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4-4-422221-1-1-1-111-2-22222-2-200422-2-22-2-2211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-24100-4-2-2-2-2111111122−2i3−2i32i32i32200000002−2i32i32-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-24100-4-2-2-2-21111111222i32i3−2i3−2i322000000022i3−2i32-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-4100422221-1-1-1-11122−2i3−2i32i32i3220000000-22i3−2i3-2-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-4100422221-1-1-1-111222i32i3−2i3−2i3220000000-2−2i32i3-2-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-4-44-4-4040000000-40000-440000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ6044-4-444004-4-44-4-4040000000-40000-4400000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ6144-4-4-2400-2-4242-40-2000−2i32i3002−2i3−2i32i32i32-20000000000000000000000000000000000−2i22i2000000000000000i2−i26−600000000
χ6244-4-4-2400-2-4242-40-2000−2i32i3002−2i3−2i32i32i32-200000000000000000000000000000000002i2−2i2000000000000000−i2i2−6600000000
χ6344-4-4-2400-2-4242-40-20002i3−2i30022i32i3−2i3−2i32-20000000000000000000000000000000000−2i22i2000000000000000i2−i2−6600000000
χ6444-4-4-2400-2-4242-40-20002i3−2i30022i32i3−2i3−2i32-200000000000000000000000000000000002i2−2i2000000000000000−i2i26−600000000
χ654-44-44400-4-44-4-4404000000040000-4-4000000004i−4i000000000000000000000000004i−4i0000000000000000000000000
χ664-44-44400-4-44-4-4404000000040000-4-400000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000
χ674-44-44-200-4242-4-20-200000−2i32i3-2−2i32i3−2i32i322000000004i−4i00000000000000000000000000−2i2i23−2300000000000000000000000
χ684-44-44-200-4242-4-20-200000−2i32i3-2−2i32i3−2i32i32200000000−4i4i000000000000000000000000002i−2i−232300000000000000000000000
χ694-44-44-200-4242-4-20-2000002i3−2i3-22i3−2i32i3−2i322000000004i−4i00000000000000000000000000−2i2i−232300000000000000000000000
χ704-44-44-200-4242-4-20-2000002i3−2i3-22i3−2i32i3−2i32200000000−4i4i000000000000000000000000002i−2i23−2300000000000000000000000
χ714-4-4444-44-44-4-44-4040000000-400004-4-440000-4400000000000-44000000000000000000000000000000000000000000
χ724-4-444-24-4-4-2-42420-24i−4i0000020000-22-22−2i2i−2i2i4-40004i−4i000000-2200−2i2i−2i2i000000000000000000000000000000000000
χ734-4-444-24-4-4-2-42420-2−4i4i0000020000-22-222i−2i2i−2i4-4000−4i4i000000-22002i−2i2i−2i000000000000000000000000000000000000
χ744-4-444-2-44-4-2-42420-2000000020000-222-223−23−2323-44000000000002-20023−23−2323000000000000000000000000000000000000
χ754-4-444-2-44-4-2-42420-2000000020000-222-2−232323−23-44000000000002-200−232323−23000000000000000000000000000000000000
χ764-4-44-244-4242-4-2-40-24i−4i0000020000-224-44i−4i4i−4i-22000−2i2i000000-2200−2i2i−2i2i000000000000000000000000000000000000
χ774-4-44-244-4242-4-2-40-2−4i4i0000020000-224-4−4i4i−4i4i-220002i−2i000000-22002i−2i2i−2i000000000000000000000000000000000000
χ784-4-44-24-44242-4-2-40-2000000020000-22-4400002-20000023−2300002-200000023−2323−2300000000000000000000000000000000
χ794-4-44-24-44242-4-2-40-2000000020000-22-4400002-200000−232300002-2000000−2323−232300000000000000000000000000000000
χ804-4-44-2-24-42-222-22014i−4i00000-13-3-331-1-22−2i2i−2i2i-22000−2i2i0000001-13-3i−ii−i3i−3i−3i3i00000000000000000000000000000000
χ814-4-44-2-24-42-222-22014i−4i00000-1-333-31-1-22−2i2i−2i2i-22000−2i2i0000001-1-33i−ii−i−3i3i3i−3i00000000000000000000000000000000
χ824-4-44-2-24-42-222-2201−4i4i00000-13-3-331-1-222i−2i2i−2i-220002i−2i0000001-13-3−ii−ii−3i3i3i−3i00000000000000000000000000000000
χ834-4-44-2-24-42-222-2201−4i4i00000-1-333-31-1-222i−2i2i−2i-220002i−2i0000001-1-33−ii−ii3i−3i−3i3i00000000000000000000000000000000
χ844-4-44-2-2-442-222-22010000000-13-3-331-12-223−23−23232-200000−23230000-11-33−333−33−33−300000000000000000000000000000000
χ854-4-44-2-2-442-222-22010000000-13-3-331-12-2−232323−232-20000023−230000-11-333−3−33−33−3300000000000000000000000000000000
χ864-4-44-2-2-442-222-22010000000-1-333-31-12-223−23−23232-20000023−230000-113-3−333−3−33−3300000000000000000000000000000000
χ874-4-44-2-2-442-222-22010000000-1-333-31-12-2−232323−232-200000−23230000-113-33−3−333−33−300000000000000000000000000000000
χ8888-8-88-40084-8-4-840-40000000400004-4000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-44402000−4i34i300-22i32i3−2i3−2i3-22000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-444-444020004i3−4i300-2−2i3−2i32i32i3-22000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-48004-8-4-8480-40000000-4000044000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40044-444-40200000−4i34i322i3−2i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-444-402000004i3−4i32−2i32i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000

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