Finite Group Databasebeta

← Group #11884272

Character table — Group #11884272

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222224444444444444448888888881212121212121212121212121212161616161616161624242424242424242424242424363636363636484872
order12223344446666662366666121212121212121244666121212122288882424242424242424121212121212121224466881212242424242224446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-11
χ61111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-1
χ71111111111111111111111111111111-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1111
χ9111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-11-1-1111-1-1-111-1-1-1-11-1-111-11
χ10111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-11-1111-1-1-111-1-111-111-1-11-1
χ11111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-1-1-1111-1-11111-111-11-1-1
χ12111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-111-1-1-1111-1-111-1-11-1-11-111
χ13111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-11-111-11-1-1-1-111-1-1-111-1-111
χ14111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1111-1-111-11-1-1-1-111111-1-111-1-1
χ15111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-111-1-11-11111-1-1111-1-11-11-1
χ16111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111-11-1-11-11111-1-1-1-1-111-11-11
χ1722222222-2-2222222-22-2-2222-22222-2-2-200-2-2-2-2-22200000000000000000000000000000000000002-22-2000
χ1822222222-2-2222222-22-2-2222-22222-2-2-200-2-2-2-2-2220000000000000000000000000000000000000-22-22000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200222-2-2-2-2000000000000000000000000000000000000022-2-2000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200222-2-2-2-20000000000000000000000000000000000000-2-222000
χ2122222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-12-1-12-1-1-1-12200000000000000000-1-10
χ2222222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-100-2-2-2-2111111112-1-12-1-1-1-1-2-200000000000000000110
χ2322222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-211-21111-2-200000000000000000110
χ2422222-1222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-1-1-1-100-2-2-2-211111111-211-211112200000000000000000-1-10
χ2522222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-12-2-211-1-1110022-2-2-1-1-1-111112-11-2-1-1112-200000000000000000-110
χ2622222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-12-2-211-1-11100-2-2221111-1-1-1-12-11-2-1-111-22000000000000000001-10
χ2722222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-1-22-211-1-1110022-2-2-1-1-1-11111-21-1211-1-1-22000000000000000001-10
χ2822222-1-2-22222-1-1-12-2-111-1-1-1-111-2-222-1-22-211-1-11100-2-2221111-1-1-1-1-21-1211-1-12-200000000000000000-110
χ292222-122222-1-1222-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-122000000000000-122-1-1-1-1-1002-1-122-1-1-1-1-1-1000000000
χ302222-122222-1-1222-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-2-2000000000000-122-1-1-1-1-100-211-2-2111111000000000
χ312222-122222-1-1222-12-122-1-1-1222-1-1-1-12-2-2-1-1-1-1-1-1-1220000000000001-2-211111002-1-1-2-2-1-11111000000000
χ322222-122222-1-1222-12-122-1-1-1222-1-1-1-12-2-2-1-1-1-1-1-1-1-2-20000000000001-2-21111100-2112211-1-1-1-1000000000
χ332222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-122-2111-1-11122000000000000-12-21-1-11100-2-1-12-211-1-111000000000
χ342222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-122-2111-1-111-2-2000000000000-12-21-1-11100211-22-1-111-1-1000000000
χ352222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-12-22111-1-111220000000000001-22-111-1-100-2-1-1-221111-1-1000000000
χ362222-12-2-222-1-1222-1-2-1-2-2-1-1-12-2-211-1-12-22111-1-111-2-20000000000001-22-111-1-1002112-2-1-1-1-111000000000
χ372-2-222200-22-2-2-22-220200-2-22-200002-22000002-2002-2002-2000022-2-2000000000002-2000000002-20000000
χ382-2-222200-22-2-2-22-220200-2-22-200002-22000002-2002-200-220000-2-222000000000002-200000000-220000000
χ392-2-222200-22-2-2-22-220200-2-22-200002-22000002-200-22002-2000022-2-200000000000-2200000000-220000000
χ402-2-222200-22-2-2-22-220200-2-22-200002-22000002-200-2200-220000-2-22200000000000-22000000002-20000000
χ4144444-244-4-444-2-2-24-4-222-2-2-22-2-244-4-4200-42222-2-200000000000000000000000000000000000000000000
χ4244444-2-4-4-4-444-2-2-244-2-2-2-2-2-2222-4-4-4-42004-2-2222200000000000000000000000000000000000000000000
χ434444-2444-4-4-2-2444-2-4-2-4-4-2-2-2-444-2-222-40022222-2-200000000000000000000000000000000000000000000
χ444444-24-4-4-4-4-2-2444-24-244-2-2-2-4-4-42222-400-2-2-2222200000000000000000000000000000000000000000000
χ454444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-244-211111100000000000000-2-2-2-211110000000000000000000000
χ464444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2-4-4-2111111000000000000002222-1-1-1-10000000000000000000000
χ474444-2-244-4-4-2-2-2-2-2-2-41221112-2-2-2-2222002-1-1-1-1110000000000000000003-33-30000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-2-41221112-2-2-2-2222002-1-1-1-111000000000000000000-33-330000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-2-4122111-22222-2-2-24-42-1-111-1-100000000000000-2-22211-1-10000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-2-4122111-22222-2-2-2-442-1-111-1-10000000000000022-2-2-1-1110000000000000000000000
χ514444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211-1-1-1-10000000000000000003-3-330000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211-1-1-1-1000000000000000000-333-30000000000000000000000
χ5344-4-4444i−4i00-444-4-4-40400-44-404i−4i4i−4i00000000004i−4i00000000000000000000000000000000000000000000
χ5444-4-444−4i4i00-444-4-4-40400-44-40−4i4i−4i4i0000000000−4i4i00000000000000000000000000000000000000000000
χ5544-4-44-24i−4i00-44-222-40-2002-220−2i2i4i−4i0000000000−2i2i000000i6i6−i6−i66−66−6000000000000000000000000000000
χ5644-4-44-24i−4i00-44-222-40-2002-220−2i2i4i−4i0000000000−2i2i000000−i6−i6i6i6−66−66000000000000000000000000000000
χ5744-4-44-2−4i4i00-44-222-40-2002-2202i−2i−4i4i00000000002i−2i000000i6i6−i6−i6−66−66000000000000000000000000000000
χ5844-4-44-2−4i4i00-44-222-40-2002-2202i−2i−4i4i00000000002i−2i000000−i6−i6i6i66−66−6000000000000000000000000000000
χ5944-4-4-244i−4i002-24-4-420-2002-2204i−4i−2i2i0000000000−2i2i0000000000000000000000000000000i6−i66−6000000000
χ6044-4-4-244i−4i002-24-4-420-2002-2204i−4i−2i2i0000000000−2i2i0000000000000000000000000000000−i6i6−66000000000
χ6144-4-4-24−4i4i002-24-4-420-2002-220−4i4i2i−2i00000000002i−2i0000000000000000000000000000000i6−i6−66000000000
χ6244-4-4-24−4i4i002-24-4-420-2002-220−4i4i2i−2i00000000002i−2i0000000000000000000000000000000−i6i66−6000000000
χ634-44-44400004-4-4-44-404004-4-40000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000000000000000000
χ644-44-44400004-4-4-44-404004-4-400000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000000000000000000
χ654-44-44-200004-422-2-40-2−2i32i3-22200000000000−2i32i3000000−2i22i200i2−i2i2−i26−6−66000000000000000000000000000000
χ664-44-44-200004-422-2-40-2−2i32i3-22200000000000−2i32i30000002i2−2i200−i2i2−i2i2−666−6000000000000000000000000000000
χ674-44-44-200004-422-2-40-22i3−2i3-222000000000002i3−2i3000000−2i22i200i2−i2i2−i2−666−6000000000000000000000000000000
χ684-44-44-200004-422-2-40-22i3−2i3-222000000000002i3−2i30000002i2−2i200−i2i2−i2i26−6−66000000000000000000000000000000
χ694-4-4444004-4-4-4-44-440400-4-4440000-44-400000-440000000000000000000000000000000000000000000000
χ704-4-444-2004-4-4-42-2240-20022-2-20000-442000002-20000000023−23−23230000000000000000000000000000000000
χ714-4-444-2004-4-4-42-2240-20022-2-20000-442000002-200000000−232323−230000000000000000000000000000000000
χ724-4-444-200-44-4-42-2240-20022-2200004-4-200000-220000004-40000-2-222000000000000000000000000000000
χ734-4-444-200-44-4-42-2240-20022-2200004-4-200000-22000000-44000022-2-2000000000000000000000000000000
χ744-4-44-24004-422-44-4-20-20022-2400002-2-4000002-20000000000000000000000000000000−2i32i30000000000000
χ754-4-44-24004-422-44-4-20-20022-2400002-2-4000002-200000000000000000000000000000002i3−2i30000000000000
χ764-4-44-2400-4422-44-4-20-20022-2-40000-22400000-22004-400000000000000000000000-2200000000000000000
χ774-4-44-2400-4422-44-4-20-20022-2-40000-22400000-2200-44000000000000000000000002-200000000000000000
χ7888-8-8-4-48i−8i004-4-44440200-22-20−4i4i−4i4i00000000002i−2i00000000000000000000000000000000000000000000
χ7988-8-8-4-4−8i8i004-4-44440200-22-204i−4i4i−4i0000000000−2i2i00000000000000000000000000000000000000000000
χ808-88-8-480000-44-8-8840-400-4440000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-40000-4444-4402−4i34i32-2-2000000000002i3−2i3000000000000000000000000000000000000000000000000
χ828-88-8-4-40000-4444-44024i3−4i32-2-200000000000−2i32i3000000000000000000000000000000000000000000000000
χ838-8-88-4-4008-8444-44-40200-2-22-400004-4400000-220000000000000000000000000000000000000000000000
χ848-8-88-4-400-88444-44-40200-2-2240000-44-4000002-20000000000000000000000000000000000000000000000

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