Finite Group Databasebeta

← Group #11884273

Character table — Group #11884273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12223344446666662366666121212121212121244666121212121212121222244466668888121212122424242424242424121212121212244612121222612488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-1
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
χ51111111111111111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-1
χ61111111111111111111111111111111-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ71111111111111111111111111111111-1-1111-1-1-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1
χ9111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-111-1111111-1-111-1-11111-1-1-1-11-111-1-11-1-1-11-1-1-1-11-11-11
χ10111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-111-11111-1-11111-1-1-1-1-1-111111-111-1-1-11-1-11-1-111-11-11-1
χ11111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1111111-1-1-1-11-111-1-11-111-111111-1-11-1
χ12111111-1-111111111-11-1-11111-1-111-1-111-1-1-1-111-1-111-1-1-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-1-1111-111-1-1-111-11
χ13111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-1-1-11111-1-1111-1-11111111-1-1-1-1111111-1-1-1-1-11-1-111-11-11-1-1-1-1-1-1111-1
χ14111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-1-1-11111-1-1111-1-111111-1-111-1-111-1-1-1-11111-11-1-1111-1-11-1-1-1111-1-1-11
χ15111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-111-111111-11-1-11
χ16111111-1-111111111-11-1-11111-1-111-1-11-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-1111-11-1111-1-11-111-1
χ1722222222-2-2222222-22-2-2222-222-2-222-200-2-2-20000-2-222002-22-200000000-2-2-2-20000000000000000022000000000
χ1822222222-2-2222222-22-2-2222-222-2-222-200-2-2-20000-2-22200-22-2200000000222200000000000000000-2-2000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2002220000-2-2-2-20022-2-20000000022-2-2000000000000000002-2000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2002220000-2-2-2-200-2-22200000000-2-22200000000000000000-22000000000
χ2122222-122222-12-12-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000-1-1-1-10000000022-1-1-1-1002-1-1-1-10000000
χ2222222-122222-12-12-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000011110000000022-1-1-1-100-211110000000
χ2322222-122222-12-12-12-122-1-1-1222-1-1-1-12-2-2-1-1-11111-1-1-1-122-2-2-2-2-1-1-1-10000111100000000-2-2111100211-1-10000000
χ2422222-122222-12-12-12-122-1-1-1222-1-1-1-12-2-2-1-1-11111-1-1-1-1-2-2222211110000-1-1-1-100000000-2-2111100-2-1-1110000000
χ2522222-122-2-22-12-12-1-2-1-2-2-1-1-1-22211-1-1-200111−i3i3−i3i311-1-1002-22-2−i3−i3i3i3000011110000000000−i3i3−i3i3000-1-1−i3i30000000
χ2622222-122-2-22-12-12-1-2-1-2-2-1-1-1-22211-1-1-200111−i3i3−i3i311-1-100-22-22i3i3−i3−i30000-1-1-1-10000000000−i3i3−i3i300011i3−i30000000
χ2722222-122-2-22-12-12-1-2-1-2-2-1-1-1-22211-1-1-200111i3−i3i3−i311-1-1002-22-2i3i3−i3−i3000011110000000000i3−i3i3−i3000-1-1i3−i30000000
χ2822222-122-2-22-12-12-1-2-1-2-2-1-1-1-22211-1-1-200111i3−i3i3−i311-1-100-22-22−i3−i3i3i30000-1-1-1-10000000000i3−i3i3−i300011−i3i30000000
χ2922222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-2-1-11122-2111-1-111-1-11122-222-2-1-1-1-10000-1-111000000002-2-1-11100-21-1110000000
χ3022222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-2-1-11122-2111-1-111-1-111-2-22-2-221111000011-1-1000000002-2-1-111002-11-1-10000000
χ3122222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-2-1-1112-2211111-1-1-1-111222-2-22-1-1-1-1000011-1-100000000-2211-1-100-2-11110000000
χ3222222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-2-1-1112-2211111-1-1-1-111-2-2-222-211110000-1-11100000000-2211-1-10021-1-1-10000000
χ3322222-1-2-2-2-22-12-12-12-122-1-1-1-2-2-21111-200-1-1-1−i3i3i3−i311110022-2-2i3i3−i3−i30000-1-1110000000000−i3i3i3−i3000-11−i3i30000000
χ3422222-1-2-2-2-22-12-12-12-122-1-1-1-2-2-21111-200-1-1-1−i3i3i3−i3111100-2-222−i3−i3i3i3000011-1-10000000000−i3i3i3−i30001-1i3−i30000000
χ3522222-1-2-2-2-22-12-12-12-122-1-1-1-2-2-21111-200-1-1-1i3−i3−i3i311110022-2-2−i3−i3i3i30000-1-1110000000000i3−i3−i3i3000-11i3−i30000000
χ3622222-1-2-2-2-22-12-12-12-122-1-1-1-2-2-21111-200-1-1-1i3−i3−i3i3111100-2-222i3i3−i3−i3000011-1-10000000000i3−i3−i3i30001-1−i3i30000000
χ372222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1222-1-12222-1-1-1-1000000000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000-1-1000
χ382222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1222-1-12222-1-1-1-10000000000-2-2-2-2000011111111-1-1-1-1-1-1-2-2000000011000
χ392222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-2-2-2-2-1-1-1-1000000000022220000-1-1-1-1-1-1-1-1111111-2-2000000011000
χ402222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-2-2-2-2-1-1-1-10000000000-2-2-2-2000011111111111111220000000-1-1000
χ412222-12-2-222-12-12-12-2-111-1-1-1-11122-2-2-12-2-21122-2-2-1-111000000000022-2-20000-1-1-1-11111-11-1-1112-20000000-11000
χ422222-12-2-222-12-12-12-2-111-1-1-1-11122-2-2-12-2-21122-2-2-1-1110000000000-2-22200001111-1-1-1-1-11-1-111-2200000001-1000
χ432222-12-2-222-12-12-12-2-111-1-1-1-11122-2-2-1-22-211-2-222-1-111000000000022-2-20000-1-1-1-111111-111-1-1-2200000001-1000
χ442222-12-2-222-12-12-12-2-111-1-1-1-11122-2-2-1-22-211-2-222-1-1110000000000-2-22200001111-1-1-1-11-111-1-12-20000000-11000
χ452-2-222200-22-2-22-2-220200-2-22-2002-20020000000002-2002-200002-22-2002-20000000022-2-200000000000002-200000
χ462-2-222200-22-2-22-2-220200-2-22-2002-20020000000002-2002-200002-22-200-2200000000-2-2220000000000000-2200000
χ472-2-222200-22-2-22-2-220200-2-22-2002-20020000000002-200-220000-22-22002-20000000022-2-20000000000000-2200000
χ482-2-222200-22-2-22-2-220200-2-22-2002-20020000000002-200-220000-22-2200-2200000000-2-22200000000000002-200000
χ494444-2444-4-4-24-24-24-4-222-2-2-22-2-2-4-444200-422000022-2-20000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-24-244-2-2-2-2-2-2222-4-4-4-42004-2-2000022220000000000000000000000000000000000000000000000
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
χ554444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-24-42-1-1-2-22211-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-2-442-1-122-2-211-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211−2i32i32i3−2i3-1-1-1-10000000000000000000000000000i3−i3−i3i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-2112i3−2i3−2i32i3-1-1-1-10000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-4444i−4i004-4-44-4-40400-44-404i−4i004i−4i0000000000004i−4i0000000000000000000000000000000000000000000000
χ6044-4-444−4i4i004-4-44-4-40400-44-40−4i4i00−4i4i000000000000−4i4i0000000000000000000000000000000000000000000000
χ6144-4-44-24i−4i0042-4-2-420-2002-2204i−4i00−2i2i000000000000−2i2i00000000000000−2i32i323−230000000000000000000000000000
χ6244-4-44-24i−4i0042-4-2-420-2002-2204i−4i00−2i2i000000000000−2i2i000000000000002i3−2i3−23230000000000000000000000000000
χ6344-4-44-2−4i4i0042-4-2-420-2002-220−4i4i002i−2i0000000000002i−2i00000000000000−2i32i3−23230000000000000000000000000000
χ6444-4-44-2−4i4i0042-4-2-420-2002-220−4i4i002i−2i0000000000002i−2i000000000000002i3−2i323−230000000000000000000000000000
χ6544-4-4-244i−4i00-2-4242-40-2002-220−2i2i004i−4i000000000000−2i2i000000000000000000i6i6−i6−i66−66−600000000000000000000
χ6644-4-4-244i−4i00-2-4242-40-2002-220−2i2i004i−4i000000000000−2i2i000000000000000000−i6−i6i6i6−66−6600000000000000000000
χ6744-4-4-24−4i4i00-2-4242-40-2002-2202i−2i00−4i4i0000000000002i−2i000000000000000000i6i6−i6−i6−66−6600000000000000000000
χ6844-4-4-24−4i4i00-2-4242-40-2002-2202i−2i00−4i4i0000000000002i−2i000000000000000000−i6−i6i6i66−66−600000000000000000000
χ694-44-4440000-44-4-44-404004-4-40000000000000000000000000000000−2i22i2000000−2i22i2−2i22i2000000000000000000000000
χ704-44-4440000-44-4-44-404004-4-400000000000000000000000000000002i2−2i20000002i2−2i22i2−2i2000000000000000000000000
χ714-44-4-240000242-4-2-40-2−2i32i3-22200000000000−2i32i3000000000000000000−2i22i2000000i2−i2i2−i26−6−6600000000000000000000
χ724-44-4-240000242-4-2-40-2−2i32i3-22200000000000−2i32i30000000000000000002i2−2i2000000−i2i2−i2i2−666−600000000000000000000
χ734-44-4-240000242-4-2-40-22i3−2i3-222000000000002i3−2i3000000000000000000−2i22i2000000i2−i2i2−i2−666−600000000000000000000
χ744-44-4-240000242-4-2-40-22i3−2i3-222000000000002i3−2i30000000000000000002i2−2i2000000−i2i2−i2i26−6−6600000000000000000000
χ754-4-4444004-4-4-44-4-440400-4-44400-4400-4000000000-44000000000000000000000000000000000000000000000000
χ764-4-444-2004-4-4242-4-20-20022-24002-200-40000000002-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ774-4-444-2004-4-4242-4-20-20022-24002-200-40000000002-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ784-4-444-200-44-4242-4-20-20022-2-400-22004000000000-22004-40000-22-22000000000000000000000000000000000000
χ794-4-444-200-44-4242-4-20-20022-2-400-22004000000000-2200-4400002-22-2000000000000000000000000000000000000
χ804-4-44-24004-42-4-2-4240-20022-2-200-440020000000002-20000000000000000000023−23−2323000000000000000000000000
χ814-4-44-24004-42-4-2-4240-20022-2-200-440020000000002-200000000000000000000−232323−23000000000000000000000000
χ824-4-44-2400-442-4-2-4240-20022-22004-400-2000000000-22000000000000004-400000000-2-22200000000000000000000
χ834-4-44-2400-442-4-2-4240-20022-22004-400-2000000000-2200000000000000-440000000022-2-200000000000000000000
χ8488-8-8-4-48i−8i00-444-4440200-22-20−4i4i00−4i4i0000000000002i−2i0000000000000000000000000000000000000000000000
χ8588-8-8-4-4−8i8i00-444-4440200-22-204i−4i004i−4i000000000000−2i2i0000000000000000000000000000000000000000000000
χ868-88-88-40000-8-4-84840-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-444-4402−4i34i32-2-2000000000002i3−2i3000000000000000000000000000000000000000000000000000000
χ888-88-8-4-400004-444-44024i3−4i32-2-200000000000−2i32i3000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-844-444-40200-2-22-4004-4004000000000-22000000000000000000000000000000000000000000000000
χ908-8-88-4-400-8844-444-40200-2-22400-4400-40000000002-2000000000000000000000000000000000000000000000000

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