Finite Group Databasebeta

← Group #11889254

Character table — Group #11889254

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order122233444466666623666661212121212121212446661212121212121212244444888812121212121212122424242424242424121212121212244612121222612488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ61111111111111111111111111111111-1-1111-1-1-1-11111111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-1-1
χ71111111111111111111111111111111-1-1111-1-1-1-11111-1-1-111-11111-1-11111-1-111111111-1-1-1-1-1-1-11-1-1-11111-1-11-1-1
χ81111111111111111111111111111111-1-1111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ9111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11-1-111111-1-1111111-1-11111-1-1-1-11-111-1-11-1-11-1-1-1111-1-1-11
χ10111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11-1-1111-1-111111111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1111-1
χ11111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-1111-1-11-111-1
χ12111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-111111-11-1-11
χ13111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-111-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1111-111-1-1-111-11
χ14111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-111-1-111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-11-111111-1-11-1
χ15111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-111-1-111-1-1-11111-111-1-1-1-11111111111-1-1-1-1-11-1-111-1-11-11-1-111-11-11-1
χ16111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-111-1-111-1-1-11111-1-1-111-1-1111111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-11-11-11
χ1722222222-2-2222222-22-2-2222-222-2-222-200-2-2-20000-2-2222-2200-20000-2-20000-2-20000000000000000022000000000
χ1822222222-2-2222222-22-2-2222-222-2-222-200-2-2-20000-2-222-22-200200002200002200000000000000000-2-2000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2002220000-2-2-2-222-200-20000-2-2000022000000000000000002-2000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2002220000-2-2-2-2-2-220020000220000-2-200000000000000000-22000000000
χ2122222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-1222-1-12222-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1202000000-1-1000
χ2222222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-1222-1-12222-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-1-20-200000011000
χ2322222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-2-2-2-2-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1111111-20-200000011000
χ2422222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-2-2-2-2-1-1-1-1000000-2-2-2-20000000011111111111111202000000-1-1000
χ2522222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-12-2-211-2-222-1-11100000022-2-200000000-1-1-1-11111-11-1-11120-2000000-11000
χ2622222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-12-2-211-2-222-1-111000000-2-222000000001111-1-1-1-1-11-1-111-2020000001-1000
χ2722222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-1-22-21122-2-2-1-11100000022-2-200000000-1-1-1-111111-111-1-1-2020000001-1000
χ2822222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-1-22-21122-2-2-1-111000000-2-222000000001111-1-1-1-11-111-1-120-2000000-11000
χ292222-122222222-1-1-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-10000000
χ302222-122222222-1-1-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-10-2011110000000
χ312222-122222222-1-1-12-122-1-1-1222-1-1-1-12-2-2-1-1-11111-1-1-1-1222-2-220000-1-11111-1-100000000-2-211110-20-1-1110000000
χ322222-122222222-1-1-12-122-1-1-1222-1-1-1-12-2-2-1-1-11111-1-1-1-1-2-2-222-2000011-1-1-1-11100000000-2-2111102011-1-10000000
χ332222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-200111−i3i3−i3i311-1-12-2200-2000011−i3−i3i3i3110000000000−i3i3−i3i3000-1-1−i3i30000000
χ342222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-200111−i3i3−i3i311-1-1-22-20020000-1-1i3i3−i3−i3-1-10000000000−i3i3−i3i300011i3−i30000000
χ352222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-200111i3−i3i3−i311-1-12-2200-2000011i3i3−i3−i3110000000000i3−i3i3−i3000-1-1i3−i30000000
χ362222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-200111i3−i3i3−i311-1-1-22-20020000-1-1−i3−i3i3i3-1-10000000000i3−i3i3−i300011−i3i30000000
χ372222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-11122-211111-1-1-1-1112-2-22220000-1-1-1-1-1-111000000002-2-1-1110-20-11110000000
χ382222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-11122-211111-1-1-1-111-222-2-2-20000111111-1-1000000002-2-1-1110201-1-1-10000000
χ392222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-1112-22111-1-111-1-1112-2-2-2-220000-1-111111100000000-2211-1-1020-11-1-10000000
χ402222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-1112-22111-1-111-1-111-22222-2000011-1-1-1-1-1-100000000-2211-1-10-201-1110000000
χ412222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-200-1-1-1−i3i3i3−i3111122-200-2000011i3i3−i3−i3-1-10000000000i3−i3−i3i3000-11−i3i30000000
χ422222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-200-1-1-1−i3i3i3−i31111-2-220020000-1-1−i3−i3i3i3110000000000i3−i3−i3i30001-1i3−i30000000
χ432222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-200-1-1-1i3−i3−i3i3111122-200-2000011−i3−i3i3i3-1-10000000000−i3i3i3−i3000-11i3−i30000000
χ442222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-200-1-1-1i3−i3−i3i31111-2-220020000-1-1i3i3−i3−i3110000000000−i3i3i3−i30001-1−i3i30000000
χ452-2-2222002-2-22-22-2-20200-2-222002-200-20000000002-2000002i−2i02i−2i00002i−2i2i−2i002i2i−2i−2i000000000000000002-200000
χ462-2-2222002-2-22-22-2-20200-2-222002-200-20000000002-2000002i−2i0−2i2i00002i−2i2i−2i00−2i−2i2i2i00000000000000000-2200000
χ472-2-2222002-2-22-22-2-20200-2-222002-200-20000000002-200000−2i2i02i−2i0000−2i2i−2i2i002i2i−2i−2i00000000000000000-2200000
χ482-2-2222002-2-22-22-2-20200-2-222002-200-20000000002-200000−2i2i0−2i2i0000−2i2i−2i2i00−2i−2i2i2i000000000000000002-200000
χ4944444-244-4-4-2-2-2444-4-222-2-2-22-2-2-4-444200-422000022-2-20000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-2-24444-2-2-2-2-2-2222-4-4-4-42004-2-2000022220000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-244-211-2-2-2-2111100000000000000000000000000-2-2111100000000000000
χ524444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2-4-4-211222211110000000000000000000000000022-1-1-1-100000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-41221112-2-222-2-22002-1-1−2i32i3−2i32i3-1-1110000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-41221112-2-222-2-22002-1-12i3−2i32i3−2i3-1-1110000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-24-42-1-122-2-211-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-2-442-1-1-2-22211-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211−2i32i32i3−2i3-1-1-1-10000000000000000000000000000−i3i3i3−i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-2112i3−2i3−2i32i3-1-1-1-10000000000000000000000000000i3−i3−i3i300000000000000
χ5944-4-4444i−4i004-4-4-4-440400-44-404i−4i004i−4i0000000000004i−4i0000000000000000000000000000000000000000000000
χ6044-4-444−4i4i004-4-4-4-440400-44-40−4i4i00−4i4i000000000000−4i4i0000000000000000000000000000000000000000000000
χ6144-4-44-24i−4i00-222-4-440-2002-220−2i2i004i−4i000000000000−2i2i000000000000000000i6−i6i6−i666−6−600000000000000000000
χ6244-4-44-24i−4i00-222-4-440-2002-220−2i2i004i−4i000000000000−2i2i000000000000000000−i6i6−i6i6−6−66600000000000000000000
χ6344-4-44-2−4i4i00-222-4-440-2002-2202i−2i00−4i4i0000000000002i−2i000000000000000000i6−i6i6−i6−6−66600000000000000000000
χ6444-4-44-2−4i4i00-222-4-440-2002-2202i−2i00−4i4i0000000000002i−2i000000000000000000−i6i6−i6i666−6−600000000000000000000
χ6544-4-4-244i−4i004-4-422-20-2002-2204i−4i00−2i2i000000000000−2i2i000000000023−230000−2i32i30000000000000000000000000000
χ6644-4-4-244i−4i004-4-422-20-2002-2204i−4i00−2i2i000000000000−2i2i0000000000−232300002i3−2i30000000000000000000000000000
χ6744-4-4-24−4i4i004-4-422-20-2002-220−4i4i002i−2i0000000000002i−2i000000000023−2300002i3−2i30000000000000000000000000000
χ6844-4-4-24−4i4i004-4-422-20-2002-220−4i4i002i−2i0000000000002i−2i0000000000−23230000−2i32i30000000000000000000000000000
χ694-44-4440000-4-44-44-404004-4-400000000000000000000000000000−2i22i2000000000000−2i22i2−2i22i200000000000000000000
χ704-44-4440000-4-44-44-404004-4-4000000000000000000000000000002i2−2i20000000000002i2−2i22i2−2i200000000000000000000
χ714-44-44-2000022-2-44-40-2−2i32i3-22200000000000−2i32i30000000000000000−2i22i2000000006−6−66i2−i2i2−i200000000000000000000
χ724-44-44-2000022-2-44-40-2−2i32i3-22200000000000−2i32i300000000000000002i2−2i200000000−666−6−i2i2−i2i200000000000000000000
χ734-44-44-2000022-2-44-40-22i3−2i3-222000000000002i3−2i30000000000000000−2i22i200000000−666−6i2−i2i2−i200000000000000000000
χ744-44-44-2000022-2-44-40-22i3−2i3-222000000000002i3−2i300000000000000002i2−2i2000000006−6−66−i2i2−i2i200000000000000000000
χ754-4-444400-44-44-44-4-40400-4-44-400-44004000000000-44000000000000000000000000000000000000000000000000
χ764-4-444-2004-42-224-4-40-20022-2-2004-4002000000000-22000000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ774-4-444-2004-42-224-4-40-20022-2-2004-4002000000000-2200000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ784-4-444-200-442-224-4-40-20022-2200-4400-20000000002-2000000000000000000000000−2i32i32i3−2i300000000000000000000
χ794-4-444-200-442-224-4-40-20022-2200-4400-20000000002-20000000000000000000000002i3−2i3−2i32i300000000000000000000
χ804-4-44-24004-4-44-4-2220-20022-2400-2200-4000000000-22000004i−4i0000000−2i2i−2i2i000000000000000000000000000000
χ814-4-44-24004-4-44-4-2220-20022-2400-2200-4000000000-2200000−4i4i00000002i−2i2i−2i000000000000000000000000000000
χ824-4-44-2400-44-44-4-2220-20022-2-4002-20040000000002-20000000000000023−23−2323000000000000000000000000000000
χ834-4-44-2400-44-44-4-2220-20022-2-4002-20040000000002-200000000000000−232323−23000000000000000000000000000000
χ8488-8-8-4-48i−8i00-44444-40200-22-20−4i4i00−4i4i0000000000002i−2i0000000000000000000000000000000000000000000000
χ8588-8-8-4-4−8i8i00-44444-40200-22-204i−4i004i−4i000000000000−2i2i0000000000000000000000000000000000000000000000
χ868-88-8-480000-8-884-440-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-44-4402−4i34i32-2-2000000000002i3−2i3000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4000044-44-44024i3−4i32-2-200000000000−2i32i3000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-84-44-4440200-2-22-400-440040000000002-2000000000000000000000000000000000000000000000000
χ908-8-88-4-400-884-44-4440200-2-224004-400-4000000000-22000000000000000000000000000000000000000000000000

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