Finite Group Databasebeta

← Group #11898321

Character table — Group #11898321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order12223344446666663466612121212121212121212888822121212121212124488888824242424242424246666666644444441212121224242424444412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1
χ51111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1-111-1-111-1-11-1111-1-1
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-111-11-1-11-11
χ11111111-1-1111111111-1111-1-1-1-1-1-111111111-11-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-111-1-1-1-111-1111-11-1
χ12111111-1-1111111111-1111-1-1-1-1-1-111111111-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-111-1-11111-1-11-1-1-1-111
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-111-11-111-1-111-1-1-11-1-1-111
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-111-1-111-1-1111-111-11-1
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-11-1-111-1-1-1-1111-1-1-11-11
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-11111-1-1-11111-1-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-2000000-2-2-222-2-2000000000000000000000000222200000000000-2-200000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2000000-2-2-222-2-2000000000000000000000000-2-2-2-2000000000002200000
χ19222222-2-2-2-222222222222-2-2-2-222-2-2-2-20000002-2-2-2-22200000000000000000000000022-2-200000000000-2200000
χ20222222-2-2-2-222222222222-2-2-2-222-2-2-2-20000002-2-2-2-222000000000000000000000000-2-222000000000002-200000
χ2122222-1222222-1-1-12-12-1-1-122-1-122-122-1000022-1-1-1-1-1-1-122002222000000002-12-1-1-1-1-10000002-1-1-1-1-1-1-1-10000000
χ2222222-1222222-1-1-12-12-1-1-122-1-122-122-1000022-1-1-1-1-1-1-1-2-200-2-2-2-2000000002-12-1-1-1-1-1000000-2111111110000000
χ2322222-1222222-1-1-12-12-1-1-122-1-122-122-10000-2-2-1-1-1-1-1-1-12200-2-2-2-200000000-21-2111110000002-1-1-1-111110000000
χ2422222-1222222-1-1-12-12-1-1-122-1-122-122-10000-2-2-1-1-1-1-1-1-1-2-200222200000000-21-211111000000-21111-1-1-1-10000000
χ2522222-1-2-22222-1-1-12-1-2-1-1-1-2-211-2-2-122-100002-21-1-11111220022-2-2000000002-1-21-1-111000000-2-1-111-1-1110000000
χ2622222-1-2-22222-1-1-12-1-2-1-1-1-2-211-2-2-122-100002-21-1-11111-2-200-2-222000000002-1-21-1-111000000211-1-111-1-10000000
χ2722222-1-2-22222-1-1-12-1-2-1-1-1-2-211-2-2-122-10000-221-1-111112200-2-22200000000-212-111-1-1000000-2-1-11111-1-10000000
χ2822222-1-2-22222-1-1-12-1-2-1-1-1-2-211-2-2-122-10000-221-1-11111-2-20022-2-200000000-212-111-1-1000000211-1-1-1-1110000000
χ292222-122222-1-1222-1-12-1-1-1-1-122-1-12-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-12-12-1-1-1-10000220000000000000-1-10
χ302222-122222-1-1222-1-12-1-1-1-1-122-1-12-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-11-21-211110000-2-20000000000000110
χ312222-122222-1-1222-1-12-1-1-1-1-122-1-12-1-12-2-2-2-2222-1-1-1-1-1-100-2-2000011111111-12-12-1-1-1-10000-2-20000000000000110
χ322222-122222-1-1222-1-12-1-1-1-1-122-1-12-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-20000111111111-21-211110000220000000000000-1-10
χ332222-12-2-222-1-1222-1-1-2-1-1-111-2-2112-1-1222222-2-2-1-1111100-2-20000-1-1-1-11111-121-2-1-11100002-20000000000000-110
χ342222-12-2-222-1-1222-1-1-2-1-1-111-2-2112-1-122222-22-2-1-1111100-2-20000-1-1-1-111111-2-1211-1-10000-2200000000000001-10
χ352222-12-2-222-1-1222-1-1-2-1-1-111-2-2112-1-12-2-2-2-22-2-2-1-11111002200001111-1-1-1-1-121-2-1-1110000-2200000000000001-10
χ362222-12-2-222-1-1222-1-1-2-1-1-111-2-2112-1-12-2-2-2-2-22-2-1-11111002200001111-1-1-1-11-2-1211-1-100002-20000000000000-110
χ3722-2-222002-2-2-2-22-22202-2-200000022-2-222-2-20002-200002i−2i00000022-2-200000000000000000002i−2i000000002i−2i000
χ3822-2-222002-2-2-2-22-22202-2-200000022-2-222-2-20002-20000−2i2i00000022-2-20000000000000000000−2i2i00000000−2i2i000
χ3922-2-222002-2-2-2-22-22202-2-200000022-2-2-2-2220002-200002i−2i000000-2-22200000000000000000002i−2i00000000−2i2i000
χ4022-2-222002-2-2-2-22-22202-2-200000022-2-2-2-2220002-20000−2i2i000000-2-2220000000000000000000−2i2i000000002i−2i000
χ412-2-22222-2002-22-2-2-220-22-22-22-2000000−i2i2−i2i2000002-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2000000002-22-20000000−i2i2−i2i20000000
χ422-2-22222-2002-22-2-2-220-22-22-22-2000000−i2i2−i2i2000002-20000−i2i2i2−i2i2−i2−i2i2−i2i2−i2−i2i2i200000000-22-220000000i2−i2i2−i20000000
χ432-2-22222-2002-22-2-2-220-22-22-22-2000000i2−i2i2−i2000002-20000i2−i2−i2i2−i2i2i2−i2i2−i2i2i2−i2−i200000000-22-220000000−i2i2−i2i20000000
χ442-2-22222-2002-22-2-2-220-22-22-22-2000000i2−i2i2−i2000002-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2000000002-22-20000000i2−i2i2−i20000000
χ452-2-2222-22002-22-2-2-220-22-2-22-22000000−i2i2−i2i200000-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2i2−i2−i2000000002-2-220000000−i2i2i2−i20000000
χ462-2-2222-22002-22-2-2-220-22-2-22-22000000−i2i2−i2i200000-220000i2−i2i2−i2−i2i2−i2i2−i2i2i2i2−i2−i200000000-222-20000000i2−i2−i2i20000000
χ472-2-2222-22002-22-2-2-220-22-2-22-22000000i2−i2i2−i200000-220000−i2i2−i2i2i2−i2i2−i2i2−i2−i2−i2i2i200000000-222-20000000−i2i2i2−i20000000
χ482-2-2222-22002-22-2-2-220-22-2-22-22000000i2−i2i2−i200000-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2−i2i2i2000000002-2-220000000i2−i2−i2i20000000
χ4944444-244-4-444-2-2-24-2-4-2-2-244-2-2-4-42-4-42000000222-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-24-24-2-2-2-4-422442-4-42000000-22222-2-20000000000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-2-2-4-2-2-2-2-24422-422-4000000-422-2-2220000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-2-24-2-2-222-4-4-2-2-422-400000042222-2-20000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-2-2-211110000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-4-4-211111100000000000000002222-1-1-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222220000002-1-111-1-1000000000000000000003-33-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222220000002-1-111-1-100000000000000000000-33-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200004-4211-1-1-1-10000000000000000-2-22211-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-20000-44211-1-1-1-1000000000000000022-2-2-1-1110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222000000-2-1-1-1-111000000000000000000003-3-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222000000-2-1-1-1-11100000000000000000000-333-30000000000000000000000
χ6144-4-44400-44-4-4-44-44404-4-4000000-4-4440000000-4400000000000000000000000000000000000000000000000000
χ6244-4-44-2004-4-4-42-224-20-222000000-24-420000000-2200004i−4i00000000000000000000000000000−2i2i0000000000000
χ6344-4-44-2004-4-4-42-224-20-222000000-24-420000000-220000−4i4i000000000000000000000000000002i−2i0000000000000
χ6444-4-44-200-44-4-42-224-20-2220000002-44-200000002-20000000000000000000000000000000000000−2i32i300000000000
χ6544-4-44-200-44-4-42-224-20-2220000002-44-200000002-200000000000000000000000000000000000002i3−2i300000000000
χ6644-4-4-24004-422-44-4-2-20-2220000004-22-444-4-4000-22000000000000-2-2220000000000000000000000000000000000
χ6744-4-4-24004-422-44-4-2-20-2220000004-22-4-4-444000-2200000000000022-2-20000000000000000000000000000000000
χ6844-4-4-2400-4422-44-4-2-20-222000000-42-2400000002-20000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6944-4-4-2400-4422-44-4-2-20-222000000-42-2400000002-200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ704-44-4440000-44-4-44-440-4-440000000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ714-44-4440000-44-4-44-440-4-4400000000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ724-44-4-2400002-2-4-442-2022-20000−2i32i30000−2i22i22i2−2i20000000−2i32i300000000i2−i2−i2i26−6−66000000000000000000000000000000
χ734-44-4-2400002-2-4-442-2022-20000−2i32i300002i2−2i2−2i22i20000000−2i32i300000000−i2i2i2−i2−666−6000000000000000000000000000000
χ744-44-4-2400002-2-4-442-2022-200002i3−2i30000−2i22i22i2−2i200000002i3−2i300000000i2−i2−i2i2−666−6000000000000000000000000000000
χ754-44-4-2400002-2-4-442-2022-200002i3−2i300002i2−2i2−2i22i200000002i3−2i300000000−i2i2i2−i26−6−66000000000000000000000000000000
χ764-4-444-24-4004-4-222-4-202-224-4-22000000000000000-22000000−2i22i2−2i22i2000000000000000000000000000i2−i2i2−i20000000
χ774-4-444-24-4004-4-222-4-202-224-4-22000000000000000-220000002i2−2i22i2−2i2000000000000000000000000000−i2i2−i2i20000000
χ784-4-444-2-44004-4-222-4-202-22-442-20000000000000002-2000000−2i22i22i2−2i2000000000000000000000000000i2−i2−i2i20000000
χ794-4-444-2-44004-4-222-4-202-22-442-20000000000000002-20000002i2−2i2−2i22i2000000000000000000000000000−i2i2i2−i20000000
χ804-4-44-244-400-224-4-42-202-22-224-4000000−2i22i2−2i22i200000-220000−2i22i20000i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000
χ814-4-44-244-400-224-4-42-202-22-224-40000002i2−2i22i2−2i200000-2200002i2−2i20000−i2i2−i2i2−i2−i2i2i2000000000000000000000000000000
χ824-4-44-24-4400-224-4-42-202-222-2-44000000−2i22i2−2i22i2000002-200002i2−2i20000i2−i2i2−i2−i2−i2i2i2000000000000000000000000000000
χ834-4-44-24-4400-224-4-42-202-222-2-440000002i2−2i22i2−2i2000002-20000−2i22i20000−i2i2−i2i2i2i2−i2−i2000000000000000000000000000000
χ8488-8-8-4-4008-8444-44-4202-2-2000000-4-44400000002-200000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88444-44-4202-2-200000044-4-40000000-2200000000000000000000000000000000000000000000000000
χ868-88-88-40000-8844-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-444-4420-2-220000−4i34i30000000000000002i3−2i30000000000000000000000000000000000000000000000
χ888-88-8-4-400004-444-4420-2-2200004i3−4i3000000000000000−2i32i30000000000000000000000000000000000000000000000
χ898-8-88-4-48-800-44-444420-22-2-44-440000000000000002-2000000000000000000000000000000000000000000000000
χ908-8-88-4-4-8800-44-444420-22-24-44-4000000000000000-22000000000000000000000000000000000000000000000000

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