Finite Group Databasebeta

← Group #11874435

Character table — Group #11874435

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222333344444444444444666666888888888888881212121212121212121212121616161616162424242424242424242424243636363648487272
order122233446666664444344666121212121212121222121212122266661212121212121212446688881212121266666624441212121224242424888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1111-1-1-1-111111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-111-1-111-1-111-1-11-1-11
χ61111111111111111111-1-1111-1-1-1-111111111111-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1-11-1111-1-1-1-111-1-111-111-1
χ71111111111111111111-1-1111-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-111-1-1-111-1
χ81111111111111111111-1-1111-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1111-11-1-1-111-1-111-1-1111-1-11
χ911111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111
χ1211111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ1311111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-111-1-111111-111-1-11-11-1-1-11111-1-1-1-1111-11-1
χ1411111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-1-1-11111111-111-1-1-1-111-1-111-1-11111-1-1-11-11
χ1511111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-111-1-11111-11-1-111-11-1111-1-111-1-1-1-111-11-11
χ1611111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1-1-1111111-11-1-11111-1-111-1-1-1-11111-1-11-11-1
χ17222222-2-2222222222222-222222-2-2-2-2-2-2-2-222220000002-2-2-222-2-22-2-2-2000022-2-200000000000000000000000000
χ18222222-2-222222222222-22222-2-222-2-2-2-2-2-22222000000-22-2-2-2-222-22-2-20000-2-22200000000000000000000000000
χ19222222-2-2222222-2-2-2-222-222222-2-2-2-2-2-222-2-2-2-20000002-2-2-222-2-2-22220000-2-22200000000000000000000000000
χ20222222-2-2222222-2-2-2-22-22222-2-222-2-2-2-222-2-2-2-2000000-22-2-2-2-2222-222000022-2-200000000000000000000000000
χ2122222-122-1-122-120000-122-1-1-1222222-1-1000000222222-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-120020000-1-1-1-10000-1-100
χ2222222-122-1-122-120000-122-1-1-1222222-1-1000000222222-1-1-1-1-1-1-1-10000-2-2-2-20000-1-1-1-1-1-1-200-20000111100001100
χ2322222-122-1-122-120000-122-1-1-1222222-1-1000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000022220000111111-200-20000-1-1-1-100001100
χ2422222-122-1-122-120000-122-1-1-1222222-1-1000000-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-2-2-200001111112002000011110000-1-100
χ2522222-122-1-122-120000-1-2-2-1-1-1-2-2-2-222-1-10000002-222-2-211-1-11111000022-2-20000-11-1-111200-20000-1-1110000-1100
χ2622222-122-1-122-120000-1-2-2-1-1-1-2-2-2-222-1-10000002-222-2-211-1-111110000-2-2220000-11-1-111-2002000011-1-100001-100
χ2722222-122-1-122-120000-1-2-2-1-1-1-2-2-2-222-1-1000000-22-2-22211-1-11111000022-2-200001-111-1-1-20020000-1-11100001-100
χ2822222-122-1-122-120000-1-2-2-1-1-1-2-2-2-222-1-1000000-22-2-22211-1-111110000-2-22200001-111-1-1200-2000011-1-10000-1100
χ292222-122222-1-12-12222-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-10000-1-1-1-122-1-1-1-10220-1-1-1-1000000000000
χ302222-122222-1-12-12222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2111122-1-1-1-1-1-122-1-10000-1-1-1-1-2-211110-2-201111000000000000
χ312222-122222-1-12-12222-1-2-2-1-1-11111-1-12222-1-1-1-12-2-1-111-2-2-1-11111-2-2-1-1000011112-2-1-11102-20-1-111000000000000
χ322222-122222-1-12-12222-1-2-2-1-1-11111-1-12222-1-1-1-1-2211-1-1-2-2-1-11111-2-2-1-100001111-2211-1-10-22011-1-1000000000000
χ332222-122222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-122-1-1-1-1-1-1-2-2110000111122-1-1-1-10-2-201111000000000000
χ342222-122222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-21111-2-2111122-1-1-1-1-1-1-2-21100001111-2-211110220-1-1-1-1000000000000
χ352222-122222-1-12-1-2-2-2-2-1-2-2-1-1-11111-1-122-2-211112-2-1-111-2-2-1-1111122110000-1-1-1-12-2-1-1110-22011-1-1000000000000
χ362222-122222-1-12-1-2-2-2-2-1-2-2-1-1-11111-1-122-2-21111-2211-1-1-2-2-1-1111122110000-1-1-1-1-2211-1-102-20-1-111000000000000
χ372222-12-2-222-1-12-12222-12-2-1-1-1-1-11111-2-2-2-2-1-1-1-100−i3i3−i3i32-211-1-1112-2110000-1-11100−i3i3−i3i30000−i3i3−i3i3000000000000
χ382222-12-2-222-1-12-12222-12-2-1-1-1-1-11111-2-2-2-2-1-1-1-100i3−i3i3−i32-211-1-1112-2110000-1-11100i3−i3i3−i30000i3−i3i3−i3000000000000
χ392222-12-2-222-1-12-12222-1-22-1-1-111-1-111-2-2-2-2-1-1-1-100−i3i3i3−i3-221111-1-1-2211000011-1-100−i3i3i3−i30000−i3i3i3−i3000000000000
χ402222-12-2-222-1-12-12222-1-22-1-1-111-1-111-2-2-2-2-1-1-1-100i3−i3−i3i3-221111-1-1-2211000011-1-100i3−i3−i3i30000i3−i3−i3i3000000000000
χ412222-12-2-222-1-12-1-2-2-2-2-12-2-1-1-1-1-11111-2-222111100−i3i3−i3i32-211-1-111-22-1-1000011-1-100−i3i3−i3i30000i3−i3i3−i3000000000000
χ422222-12-2-222-1-12-1-2-2-2-2-12-2-1-1-1-1-11111-2-222111100i3−i3i3−i32-211-1-111-22-1-1000011-1-100i3−i3i3−i30000−i3i3−i3i3000000000000
χ432222-12-2-222-1-12-1-2-2-2-2-1-22-1-1-111-1-111-2-222111100−i3i3i3−i3-221111-1-12-2-1-10000-1-11100−i3i3i3−i30000i3−i3−i3i3000000000000
χ442222-12-2-222-1-12-1-2-2-2-2-1-22-1-1-111-1-111-2-222111100i3−i3−i3i3-221111-1-12-2-1-10000-1-11100i3−i3−i3i30000−i3i3i3−i3000000000000
χ452-2-22222-2-2-2-2-22222-2-22002-2-200002-22-22-222-2-2000000002-20000002-2002-2000000000000000000002-2002-20000
χ462-2-22222-2-2-2-2-22222-2-22002-2-200002-22-22-222-2-2000000002-20000002-200-2200000000000000000000-2200-220000
χ472-2-22222-2-2-2-2-222-2-2222002-2-200002-22-2-22-2-222000000002-2000000-22002-2000000000000000000002-200-220000
χ482-2-22222-2-2-2-2-222-2-2222002-2-200002-22-2-22-2-222000000002-2000000-2200-2200000000000000000000-22002-20000
χ492-2-2222-22-2-2-2-22222-2-22002-2-20000-22-22-2222-2-200000000-22000000-222-2000000000000000000002-2002-2000000
χ502-2-2222-22-2-2-2-22222-2-22002-2-20000-22-22-2222-2-200000000-22000000-22-2200000000000000000000-2200-22000000
χ512-2-2222-22-2-2-2-222-2-2222002-2-20000-22-222-2-2-22200000000-220000002-22-2000000000000000000002-200-22000000
χ522-2-2222-22-2-2-2-222-2-2222002-2-20000-22-222-2-2-22200000000-220000002-2-2200000000000000000000-22002-2000000
χ5344444-2-4-4-2-244-240000-24-4-2-2-244-4-4-4-422000000000000-2222-2-22200000000000000000000000000000000000000
χ5444444-2-4-4-2-244-240000-2-44-2-2-2-4-444-4-4220000000000002-22222-2-200000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-200000044-2-2-2-2-2-2111111000000000000-2-2111100000000000000000000
χ564444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-2000000-4-42222-2-211111100000000000022-1-1-1-100000000000000000000
χ574444-2-244-2-2-2-2-2-200001-4-41112222-2-2-2-20000004-4-2-2222211-1-1-1-1000000000000-2211-1-100000000000000000000
χ584444-2-244-2-2-2-2-2-200001-4-41112222-2-2-2-2000000-4422-2-22211-1-1-1-10000000000002-2-1-11100000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2000014-4111-2-222222200000000−2i32i3−2i32i3-22-1-111-1-100000000000000i3−i3i3−i300000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2000014-4111-2-2222222000000002i3−2i32i3−2i3-22-1-111-1-100000000000000−i3i3−i3i300000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-200001-4411122-2-2222200000000−2i32i32i3−2i32-2-1-1-1-11100000000000000i3−i3−i3i300000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-200001-4411122-2-22222000000002i3−2i3−2i32i32-2-1-1-1-11100000000000000−i3i3i3−i300000000000000000000
χ6344-4-444004-44-4-4-44i−4i4i−4i400-44-400000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ6444-4-444004-44-4-4-4−4i4i−4i4i400-44-40000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ6544-4-4-24004-4-22-424i−4i4i−4i-2002-22−2i32i300000000−2i2i−2i2i0000000000−2i32i3000000000023−230000000000000000000000000000
χ6644-4-4-24004-4-22-424i−4i4i−4i-2002-222i3−2i300000000−2i2i−2i2i00000000002i3−2i30000000000−23230000000000000000000000000000
χ6744-4-4-24004-4-22-42−4i4i−4i4i-2002-22−2i32i3000000002i−2i2i−2i0000000000−2i32i30000000000−23230000000000000000000000000000
χ6844-4-4-24004-4-22-42−4i4i−4i4i-2002-222i3−2i3000000002i−2i2i−2i00000000002i3−2i3000000000023−230000000000000000000000000000
χ694-44-44400-44-44-4-44i−4i−4i4i400-4-4400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ704-44-44400-44-44-4-4−4i4i4i−4i400-4-440000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ714-44-4-2400-442-2-424i−4i−4i4i-20022-200−2i32i3000000−2i2i2i−2i000000000000−2i32i3000000000023−2300000000000000000000000000
χ724-44-4-2400-442-2-424i−4i−4i4i-20022-2002i3−2i3000000−2i2i2i−2i0000000000002i3−2i30000000000−232300000000000000000000000000
χ734-44-4-2400-442-2-42−4i4i4i−4i-20022-200−2i32i30000002i−2i−2i2i000000000000−2i32i30000000000−232300000000000000000000000000
χ744-44-4-2400-442-2-42−4i4i4i−4i-20022-2002i3−2i30000002i−2i−2i2i0000000000002i3−2i3000000000023−2300000000000000000000000000
χ754-4-444-24-422-4-4-240000-200-22200004-4-2200000000000000-2200000000004-400000000000000000000-2200000000
χ764-4-444-24-422-4-4-240000-200-22200004-4-2200000000000000-220000000000-44000000000000000000002-200000000
χ774-4-444-2-4422-4-4-240000-200-2220000-442-2000000000000002-2000000004-400000000000000000000-220000000000
χ784-4-444-2-4422-4-4-240000-200-2220000-442-2000000000000002-200000000-44000000000000000000002-20000000000
χ794-4-44-244-4-4-4224-244-4-4-200-2220000-224-44-4-2-22200000000-22000000-220000000000000000000000000000000000
χ804-4-44-244-4-4-4224-2-4-444-200-2220000-224-4-4422-2-200000000-220000002-20000000000000000000000000000000000
χ814-4-44-24-44-4-4224-244-4-4-200-22200002-2-44-44-2-222000000002-20000002-20000000000000000000000000000000000
χ824-4-44-24-44-4-4224-2-4-444-200-22200002-2-444-422-2-2000000002-2000000-220000000000000000000000000000000000
χ8388-8-88-400-448-84-80000-4004-44000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44-44440000200-22-2−4i34i300000000000000000000002i3−2i30000000000000000000000000000000000000000
χ8588-8-8-4-400-44-44440000200-22-24i3−4i30000000000000000000000−2i32i30000000000000000000000000000000000000000
χ868-88-88-4004-4-884-80000-40044-4000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-44-4440000200-2-2200−4i34i300000000000000000000002i3−2i300000000000000000000000000000000000000
χ888-88-8-4-4004-44-4440000200-2-22004i3−4i30000000000000000000000−2i32i300000000000000000000000000000000000000
χ898-8-88-4-48-84444-4-400002002-2-20000-44-44000000000000002-2000000000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-400002002-2-200004-44-400000000000000-22000000000000000000000000000000000000000000

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