Finite Group Databasebeta

← Group #11872515

Character table — Group #11872515

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244444812121212121212122424242424242424222444668812121212121212121244668121212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-111111-11-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11-1-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-1111-1-1-1-111-111-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-11111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11-1-111-11111-1-11-1-111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-11-1-111-1-1111-1-1-111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-22200-2-222000000000000-2000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2002-2-200-2-22200000000000020000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2220022-2-2000000000000-20000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-20022-2-20000000000002000000-22000000
χ2122222-1222-1-1-122-122-1-1-1-12-12222222-1-1-1-122-1-122-1-1-1-1-1-12200000000-1-1-1-12-1-1-1-120-1-12-1-1000-1-10000000000
χ2222222-1222-1-1-122-122-1-1-1-12-122222-2-2-1-11122-1-1-2-21111112200000000-1-1-1-1-2-1-111-20-1-1-211000110000000000
χ2322222-1222-1-1-122-122-1-1-1-12-12-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-2-20000000011112-1-1-1-1-2011-211000110000000000
χ2422222-1222-1-1-122-122-1-1-1-12-12-2-2-2-2-2-2-1-11122-1-1-2-2111111-2-2000000001111-2-1-11120112-1-1000-1-10000000000
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-1222222-211-1-1-2-2-1-1-2-2111111-2-200000000-1-1-1-1211-1-12011-2-1-1000110000000000
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-122222-221111-2-2-1-122-1-1-1-1-1-1-2-200000000-1-1-1-1-21111-2011211000-1-10000000000
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-12-2-2-2-22-211-1-1-2-2-1-1-2-211111122000000001111211-1-1-20-1-1211000-1-10000000000
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-12-2-2-2-2-221111-2-2-1-122-1-1-1-1-1-122000000001111-2111120-1-1-2-1-1000110000000000
χ292222-1222-1222-1-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-1002222-1-1220000-1-1-1-1-10200000-1-1-100-1-1000000-10
χ302222-1222-1222-1-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-100-2-2-2-211-2-20000-1-1-1-1-10-200000111001100000010
χ312222-1222-1222-1-1-122-1-1-12-12-10000-2-222-2-2-1-1-1-111-2-21111002222-1-1-2-200001-1-1110-200000-1-1-1001100000010
χ322222-1222-1222-1-1-122-1-1-12-12-10000-2-222-2-2-1-1-1-111-2-2111100-2-2-2-2112200001-1-111020000011100-1-1000000-10
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-100002-2-2-22211-1-111-2-21111002-2-22-1-1-2-20000-111-1-10200000-1110011000000-10
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-100002-2-2-22211-1-111-2-2111100-222-211220000-111-1-10-2000001-1-100-1-100000010
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-1-1-122-1-1-1-1002-2-22-1-1220000111110-200000-11100-1-100000010
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-1-1-122-1-1-1-100-222-211-2-200001111102000001-1-10011000000-10
χ372-2-22222-2-2-22-22-2200-22-2-2-2222i−2i2i−2i000000002-2000000000002i−2i000002i−2i2i−2i00000000000002i−2i0000002-20000
χ382-2-22222-2-2-22-22-2200-22-2-2-2222i−2i2i−2i000000002-200000000000−2i2i000002i−2i2i−2i0000000000000−2i2i000000-220000
χ392-2-22222-2-2-22-22-2200-22-2-2-222−2i2i−2i2i000000002-2000000000002i−2i00000−2i2i−2i2i00000000000002i−2i000000-220000
χ402-2-22222-2-2-22-22-2200-22-2-2-222−2i2i−2i2i000000002-200000000000−2i2i00000−2i2i−2i2i0000000000000−2i2i0000002-20000
χ412-2-2222-22-2-22-22-222i−2i-22-222-2-22i−2i−2i2i002i−2i002i−2i-22000000002-200000000−2i2i2i−2i02i−2i00002-2000000000000000000
χ422-2-2222-22-2-22-22-222i−2i-22-222-2-2−2i2i2i−2i002i−2i002i−2i-2200000000-22000000002i−2i−2i2i02i−2i0000-22000000000000000000
χ432-2-2222-22-2-22-22-22−2i2i-22-222-2-22i−2i−2i2i00−2i2i00−2i2i-2200000000-2200000000−2i2i2i−2i0−2i2i0000-22000000000000000000
χ442-2-2222-22-2-22-22-22−2i2i-22-222-2-2−2i2i2i−2i00−2i2i00−2i2i-22000000002-2000000002i−2i−2i2i0−2i2i00002-2000000000000000000
χ452-2-222-1-22-21-112-2-12i−2i1-11-121-22i−2i−2i2i00−ii3−32i−2i1-100−i3i3−i3−i3i3i32-200000000i−i−ii0−ii3−300-110−i3i30003−30000000000
χ462-2-222-1-22-21-112-2-12i−2i1-11-121-22i−2i−2i2i00−ii−332i−2i1-100i3−i3i3i3−i3−i32-200000000i−i−ii0−ii−3300-110i3−i3000−330000000000
χ472-2-222-1-22-21-112-2-12i−2i1-11-121-2−2i2i2i−2i00−ii3−32i−2i1-100−i3i3−i3−i3i3i3-2200000000−iii−i0−ii3−3001-10i3−i3000−330000000000
χ482-2-222-1-22-21-112-2-12i−2i1-11-121-2−2i2i2i−2i00−ii−332i−2i1-100i3−i3i3i3−i3−i3-2200000000−iii−i0−ii−33001-10−i3i30003−30000000000
χ492-2-222-1-22-21-112-2-1−2i2i1-11-121-22i−2i−2i2i00i−i3−3−2i2i1-100i3−i3i3i3−i3−i3-2200000000i−i−ii0i−i3−3001-10−i3i3000−330000000000
χ502-2-222-1-22-21-112-2-1−2i2i1-11-121-22i−2i−2i2i00i−i−33−2i2i1-100−i3i3−i3−i3i3i3-2200000000i−i−ii0i−i−33001-10i3−i30003−30000000000
χ512-2-222-1-22-21-112-2-1−2i2i1-11-121-2−2i2i2i−2i00i−i3−3−2i2i1-100i3−i3i3i3−i3−i32-200000000−iii−i0i−i3−300-110i3−i30003−30000000000
χ522-2-222-1-22-21-112-2-1−2i2i1-11-121-2−2i2i2i−2i00i−i−33−2i2i1-100−i3i3−i3−i3i3i32-200000000−iii−i0i−i−3300-110−i3i3000−330000000000
χ5344444-2-4-44-2-2-244-200-2-2-22-42-444-4-4000000002200000000000000000022-2-2000000000000000000000000000
χ5444444-2-4-44-2-2-244-200-2-2-22-42-4-4-4440000000022000000000000000000-2-222000000000000000000000000000
χ554444-24-4-4-2444-2-2-200-2-2-2-42-42000000000000220000000000400-4-2-2000000000000000000200000000000000
χ564444-24-4-4-2444-2-2-200-2-2-2-42-42000000000000220000000000-400422000000000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-4-4-44-44400-4-44000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-44400-4-4-44-44400-4-440000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-4440044-4-4-4-44004-4-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ644-44-4440044-4-4-4-44004-4-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ654-44-4-2400-24-4-422-200-222000000000000000000i6−i600i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ664-44-4-2400-24-4-422-200-222000000000000000000i6−i600i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ674-44-4-2400-24-4-422-200-222000000000000000000−i6i600−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ684-44-4-2400-24-4-422-200-222000000000000000000−i6i600−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ694-4-444-24-4-42-224-4-2002-222-4-244i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ704-4-444-24-4-42-224-4-2002-222-4-24−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ714-4-44-244-42-44-4-22-2002-22-424-2000000000000-22000000000004i−4i0000000000000000000000−2i2i000000000000
χ724-4-44-244-42-44-4-22-2002-22-424-2000000000000-2200000000000−4i4i00000000000000000000002i−2i000000000000
χ734-4-44-24-442-44-4-22-24i−4i2-224-2-420000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ744-4-44-24-442-44-4-22-2−4i4i2-224-2-42000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ754-4-44-2-2-4422-22-2214i−4i-11-1-2-222000000−2i2i23−23−2i2i-1100−2i32i3i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ764-4-44-2-2-4422-22-2214i−4i-11-1-2-222000000−2i2i−2323−2i2i-11002i3−2i3−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ774-4-44-2-2-4422-22-221−4i4i-11-1-2-2220000002i−2i23−232i−2i-11002i3−2i3−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ784-4-44-2-2-4422-22-221−4i4i-11-1-2-2220000002i−2i−23232i−2i-1100−2i32i3i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-844-4-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-48004-8-884-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400444-44-4200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-400444-44-4200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-88-4008-444-8-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-4-444442002-2-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-400-4-444442002-2-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-48-844-44-44200-22-244-4-40000000000002-20000000000000000000000000000000000000000000000000

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