Finite Group Databasebeta

← Group #11872495

Character table — Group #11872495

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212124444441212121212121212121212121224444488121212121212121212124468121212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1111111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111111-111-1-1-11-1-1-1-1-111-1-11111-1-1-1-11111-1
χ10111111111111111-1-1111-1-1111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-111-1-1-11-1111-111-1-1-1-1-1-11111-1-1-1-11
χ11111111111111111-1-1111-1-111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-1111-1-11-1-1-1-1-11111-1-111-1-111-1-11
χ12111111111111111-1-1111-1-111111111-11-1-1-111-1-1-1-1-1-111-1-1-1-111111111-11-1-1111-1-1-111-1-1-111-1-111-1-111-1-111-1
χ13111111111111111-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-1-11-11-1-1-11-1-1111111-1-111-1-1-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-111-1-11-111111-1-111-1-1-1-111-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1111-1-1111-1-111-1-11111-1-111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1-111-111-111111-1-1-1-111-1-1-1-111-1-11
χ17222222-2-222222222-222222-2-2-2-222-2-200-200002-222-2-2-2-2-2200000022-2-200000000-2000200000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-22200-200002-222-2-2-2-22-2000000-2-222000000002000-200000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-20020000-22-2-222-2-22-200000022-2-2000000002000-200000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2220020000-22-2-222-2-2-22000000-2-22200000000-2000200000000000000000
χ2122222-12222-1-1-12-122-1-1-122-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-122-1-1-1-122-1000-1-1-1-1-10000000000000
χ2222222-12222-1-1-12-122-1-1-122-1-1222222-2-221111-1-1-1-1-1-1-1-122000000-1-1-1-1-2-21111-2-2-1000-111110000000000000
χ2322222-12222-1-1-12-122-1-1-122-1-122-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000111122-1-1-1-1-2-21000111110000000000000
χ2422222-12222-1-1-12-122-1-1-122-1-122-2-2-2-2-2-221111-1-1-1-1-1-1-1-1-2-20000001111-2-211112210001-1-1-1-10000000000000
χ2522222-12222-1-1-12-1-2-2-1-1-1-2-2-1-12222222-2-2-1-111111111-1-1-2-2000000-1-1-1-12-2-1-111-2210001-1-1110000000000000
χ2622222-12222-1-1-12-1-2-2-1-1-1-2-2-1-1222222-22-211-1-1111111-1-1-2-2000000-1-1-1-1-2211-1-12-21000111-1-10000000000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-2-1-122-2-2-2-22-2-2-1-111111111-1-12200000011112-2-1-1112-2-1000-111-1-10000000000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-2-1-122-2-2-2-2-22-211-1-1111111-1-1220000001111-2211-1-1-22-1000-1-1-1110000000000000
χ2922222-1-2-222-1-1-12-12-2-1-1-12211-2-222-2-200-2−i3i3−i3i3-11-1-11111-22000000-1-11100−i3i3−i3i3001000-1−i3i3−i3i30000000000000
χ3022222-1-2-222-1-1-12-12-2-1-1-12211-2-222-2-200-2i3−i3i3−i3-11-1-11111-22000000-1-11100i3−i3i3−i3001000-1i3−i3i3−i30000000000000
χ3122222-1-2-222-1-1-12-12-2-1-1-12211-2-2-2-22200-2−i3i3−i3i3-11-1-111112-200000011-1-100−i3i3−i3i300-10001i3−i3i3−i30000000000000
χ3222222-1-2-222-1-1-12-12-2-1-1-12211-2-2-2-22200-2i3−i3i3−i3-11-1-111112-200000011-1-100i3−i3i3−i300-10001−i3i3−i3i30000000000000
χ3322222-1-2-222-1-1-12-1-22-1-1-1-2-211-2-222-2-2002−i3i3i3−i31-111-1-1112-2000000-1-11100−i3i3i3−i300-10001−i3i3i3−i30000000000000
χ3422222-1-2-222-1-1-12-1-22-1-1-1-2-211-2-222-2-2002i3−i3−i3i31-111-1-1112-2000000-1-11100i3−i3−i3i300-10001i3−i3−i3i30000000000000
χ3522222-1-2-222-1-1-12-1-22-1-1-1-2-211-2-2-2-222002−i3i3i3−i31-111-1-111-2200000011-1-100−i3i3i3−i3001000-1i3−i3−i3i30000000000000
χ3622222-1-2-222-1-1-12-1-22-1-1-1-2-211-2-2-2-222002i3−i3−i3i31-111-1-111-2200000011-1-100i3−i3−i3i3001000-1−i3i3i3−i30000000000000
χ372222-1222-1-1222-1-122-1-1-1-1-122-1-1000022-1222222-1-1-1-1-1-1002222220000-1-1-1-1-1-10002-1-100000-1-1-1-1-1-10000000
χ382222-1222-1-1222-1-122-1-1-1-1-122-1-1000022-1222222-1-1-1-1-1-100-2-2-2-2-2-20000-1-1-1-1-1-1000-211000001111110000000
χ392222-1222-1-1222-1-122-1-1-1-1-122-1-10000-2-2-1-2-2-2-222-1-1-1-1-1-1002222-2-20000111111000-2-1-100000-1-111110000000
χ402222-1222-1-1222-1-122-1-1-1-1-122-1-10000-2-2-1-2-2-2-222-1-1-1-1-1-100-2-2-2-22200001111110002110000011-1-1-1-10000000
χ412222-1222-1-1222-1-1-2-2-1-1-11122-1-100002-2122-2-2-2-21111-1-10022-2-2220000-11-1-111000-21100000-1-1-1-1110000000
χ422222-1222-1-1222-1-1-2-2-1-1-11122-1-100002-2122-2-2-2-21111-1-100-2-222-2-20000-11-1-1110002-1-1000001111-1-10000000
χ432222-1222-1-1222-1-1-2-2-1-1-11122-1-10000-221-2-222-2-21111-1-10022-2-2-2-200001-111-1-100021100000-1-111-1-10000000
χ442222-1222-1-1222-1-1-2-2-1-1-11122-1-10000-221-2-222-2-21111-1-100-2-2222200001-111-1-1000-2-1-10000011-1-1110000000
χ452-22-2222-2-2-22-2-22200-2-22002-2-222i−2i2i−2i00000000000002-2002-200002i−2i2i−2i000000000000000002-20000002i−2i000
χ462-22-2222-2-2-22-2-22200-2-22002-2-222i−2i2i−2i00000000000002-200-2200002i−2i2i−2i00000000000000000-22000000−2i2i000
χ472-22-2222-2-2-22-2-22200-2-22002-2-22−2i2i−2i2i00000000000002-2002-20000−2i2i−2i2i000000000000000002-2000000−2i2i000
χ482-22-2222-2-2-22-2-22200-2-22002-2-22−2i2i−2i2i00000000000002-200-220000−2i2i−2i2i00000000000000000-220000002i−2i000
χ492-22-222-22-2-22-2-22200-2-2200-222-22i−2i−2i2i0000000000000-2200002i−2i002i−2i−2i2i00000000002i−2i000000000002-200000
χ502-22-222-22-2-22-2-22200-2-2200-222-22i−2i−2i2i0000000000000-220000−2i2i002i−2i−2i2i0000000000−2i2i00000000000-2200000
χ512-22-222-22-2-22-2-22200-2-2200-222-2−2i2i2i−2i0000000000000-2200002i−2i00−2i2i2i−2i00000000002i−2i00000000000-2200000
χ522-22-222-22-2-22-2-22200-2-2200-222-2−2i2i2i−2i0000000000000-220000−2i2i00−2i2i2i−2i0000000000−2i2i000000000002-200000
χ534444-24-4-4-2-2444-2-24-4-2-2-2-2-2-4-422000000200004-4-2-22222000000000000000000000000000000000000000000
χ544444-24-4-4-2-2444-2-2-44-2-2-222-4-422000000-20000-4422-2-222000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-4-22222-2-211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-42-2-22222-1-1-1-111000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-44222-2-222-1-1-1-1110000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000002−2i32i3−2i32i3-2211-1-1-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111-2-2222200000022i3−2i32i3−2i3-2211-1-1-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000-2−2i32i32i3−2i32-2-1-111-1-100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111222222000000-22i3−2i3−2i32i32-2-1-111-1-100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-444004-4-44-4-44004-4-4000000000000000000000000000000022−220000000000000000000000022−22000000000
χ6444-4-444004-4-44-4-44004-4-40000000000000000000000000000000−222200000000000000000000000−2222000000000
χ6544-4-4-2400-22-44-42-200-222−2i32i300000000000000000−2i32i3000000000022−2200000000000000000000000−22i6−i60000000
χ6644-4-4-2400-22-44-42-200-222−2i32i300000000000000000−2i32i30000000000−2222000000000000000000000002−2−i6i60000000
χ6744-4-4-2400-22-44-42-200-2222i3−2i3000000000000000002i3−2i3000000000022−2200000000000000000000000−22−i6i60000000
χ6844-4-4-2400-22-44-42-200-2222i3−2i3000000000000000002i3−2i30000000000−2222000000000000000000000002−2i6−i60000000
χ694-44-44-24-4-4-4-2224-20022-200-22-444i−4i4i−4i0000000000000-2200000000−2i2i−2i2i000000000000000000000000000000
χ704-44-44-24-4-4-4-2224-20022-200-22-44−4i4i−4i4i0000000000000-22000000002i−2i2i−2i000000000000000000000000000000
χ714-44-44-2-44-4-4-2224-20022-2002-24-44i−4i−4i4i00000000000002-200000000−2i2i2i−2i000000000000000000000000000000
χ724-44-44-2-44-4-4-2224-20022-2002-24-4−4i4i4i−4i00000000000002-2000000002i−2i−2i2i000000000000000000000000000000
χ734-44-4-244-4224-4-4-2-20022-2004-42-200000000000000000-22004-40000000000000000000000000-2200000000000
χ744-44-4-244-4224-4-4-2-20022-2004-42-200000000000000000-2200-4400000000000000000000000002-200000000000
χ754-44-4-24-44224-4-4-2-20022-200-44-22000000000000000002-200004i−4i0000000000000000−2i2i000000000000000000
χ764-44-4-24-44224-4-4-2-20022-200-44-22000000000000000002-20000−4i4i00000000000000002i−2i000000000000000000
χ774-4-444400-44-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ784-4-444400-44-4-44-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ7988-8-88-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-4442002-2-2−4i34i3000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-4442002-2-24i3−4i300000000000000000−2i32i30000000000000000000000000000000000000000000000
χ828-88-8-4-48-844-444-4200-2-2200-444-4000000000000000002-2000000000000000000000000000000000000000000
χ838-88-8-4-4-8844-444-4200-2-22004-4-4400000000000000000-22000000000000000000000000000000000000000000
χ848-8-888-400-8844-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-4-8-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44200-22-20000000000000000000006-600000000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44200-22-2000000000000000000000-6600000000000000000000000000000000000000000000

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