Finite Group Databasebeta

← Group #11872370

Character table — Group #11872370

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444426681212121212122424242424242424222444668812121212666121244668121212121224242424444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1111-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-111-11-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-111111-11-1-1-11-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11-111-1-111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-111-1-1-1111-1-1-1-1-1-11-1-11-1-111
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-11-1-1-1-1-11111-1-111-111-111-1-1
χ11111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-11111-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-111111-1-1-1-111-1-1-111-1111-1
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-11111111-1-11-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-111-111-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-2002200-2-2220000000000-200000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2200-2-200-2-2220000000000200000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-200220022-2-20000000000-200000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2200-2-20022-2-20000000000200000000-20020000
χ2122222-1222-12-1-12-122-1-1-1-12-1222222-1-12-1-122-1-122-1-1-1-1-1-12200000000-1-1-1-12-1-1-1-120-1-120-1-100-1-10000000000
χ2222222-1222-12-1-12-122-1-1-1-12-122222-211-2-1-122-1-1-2-21111112200000000-1-1-1-1-211-1-1-20-1-1-201100110000000000
χ2322222-1222-12-1-12-122-1-1-1-12-12-2-2-2-22-1-12-1-122-1-122-1-1-1-1-1-1-2-20000000011112-1-1-1-1-2011-201100110000000000
χ2422222-1222-12-1-12-122-1-1-1-12-12-2-2-2-2-211-2-1-122-1-1-2-2111111-2-2000000001111-211-1-1201120-1-100-1-10000000000
χ2522222-1222-12-1-12-1-2-2-1-1-1-12-1222222-1-1-211-2-2-1-1-2-2111111-2-200000000-1-1-1-12-1-1112011-20-1-100110000000000
χ2622222-1222-12-1-12-1-2-2-1-1-1-12-122222-211211-2-2-1-122-1-1-1-1-1-1-2-200000000-1-1-1-1-21111-2011201100-1-10000000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-12-12-2-2-2-22-1-1-211-2-2-1-1-2-2111111220000000011112-1-111-20-1-1201100-1-10000000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-12-12-2-2-2-2-211211-2-2-1-122-1-1-1-1-1-122000000001111-2111120-1-1-20-1-100110000000000
χ292222-1222-12-122-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-1002222-1-1220000-1-1-1-1-102000-100-1-100-1-1000000-10
χ302222-1222-12-122-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-100-2-2-2-211-2-20000-1-1-1-1-10-200010011001100000010
χ312222-1222-12-122-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-111-2-21111002222-1-1-2-20000111-1-10-2000-100-1-1001100000010
χ322222-1222-12-122-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-111-2-2111100-2-2-2-211220000111-1-1020001001100-1-1000000-10
χ332222-1222-12-122-1-1-2-2-1-1-12-12-10000222-2-2-211-1-111-2-211110022-2-2-1-1-2-20000-1-1-11102000-100110011000000-10
χ342222-1222-12-122-1-1-2-2-1-1-12-12-10000222-2-2-211-1-111-2-2111100-2-22211220000-1-1-1110-2000100-1-100-1-100000010
χ352222-1222-12-122-1-1-2-2-1-1-12-12-10000-2-2-22-2-211-1-1-1-122-1-1-1-10022-2-2-1-1220000111110-2000-1001100-1-100000010
χ362222-1222-12-122-1-1-2-2-1-1-12-12-10000-2-2-22-2-211-1-1-1-122-1-1-1-100-2-22211-2-200001111102000100-1-10011000000-10
χ372-22-2222-2-222-2-2-222i−2i-22-2-2-2222i−2i2i−2i00002i−2i2i−2i2-2000000002-2000000002i−2i2i−2i0002i−2i002-2000000000000000000
χ382-22-2222-2-222-2-2-222i−2i-22-2-2-222−2i2i−2i2i00002i−2i2i−2i2-200000000-2200000000−2i2i−2i2i0002i−2i00-22000000000000000000
χ392-22-2222-2-222-2-2-22−2i2i-22-2-2-2222i−2i2i−2i0000−2i2i−2i2i2-200000000-22000000002i−2i2i−2i000−2i2i00-22000000000000000000
χ402-22-2222-2-222-2-2-22−2i2i-22-2-2-222−2i2i−2i2i0000−2i2i−2i2i2-2000000002-200000000−2i2i−2i2i000−2i2i002-2000000000000000000
χ412-22-222-22-222-2-2-2200-22-222-2-22i−2i−2i2i00000000-220000000000002i−2i0000−2i2i2i−2i00000000000002i−2i000002-200000
χ422-22-222-22-222-2-2-2200-22-222-2-22i−2i−2i2i00000000-22000000000000−2i2i0000−2i2i2i−2i0000000000000−2i2i00000-2200000
χ432-22-222-22-222-2-2-2200-22-222-2-2−2i2i2i−2i00000000-220000000000002i−2i00002i−2i−2i2i00000000000002i−2i00000-2200000
χ442-22-222-22-222-2-2-2200-22-222-2-2−2i2i2i−2i00000000-22000000000000−2i2i00002i−2i−2i2i0000000000000−2i2i000002-200000
χ452-22-22-12-2-2-1211-2-12i−2i1-111-2-122i−2i2i−2i0−i3i30−ii2i−2i-11003−333−3−32-200000000−ii−ii0−i3i3−ii00-11003−300−i3i30000000000
χ462-22-22-12-2-2-1211-2-12i−2i1-111-2-122i−2i2i−2i0i3−i30−ii2i−2i-1100−33−3−3332-200000000−ii−ii0i3−i3−ii00-1100−3300i3−i30000000000
χ472-22-22-12-2-2-1211-2-12i−2i1-111-2-12−2i2i−2i2i0−i3i30−ii2i−2i-11003−333−3−3-2200000000i−ii−i0−i3i3−ii001-100−3300i3−i30000000000
χ482-22-22-12-2-2-1211-2-12i−2i1-111-2-12−2i2i−2i2i0i3−i30−ii2i−2i-1100−33−3−333-2200000000i−ii−i0i3−i3−ii001-1003−300−i3i30000000000
χ492-22-22-12-2-2-1211-2-1−2i2i1-111-2-122i−2i2i−2i0−i3i30i−i−2i2i-1100−33−3−333-2200000000−ii−ii0−i3i3i−i001-1003−300i3−i30000000000
χ502-22-22-12-2-2-1211-2-1−2i2i1-111-2-122i−2i2i−2i0i3−i30i−i−2i2i-11003−333−3−3-2200000000−ii−ii0i3−i3i−i001-100−3300−i3i30000000000
χ512-22-22-12-2-2-1211-2-1−2i2i1-111-2-12−2i2i−2i2i0−i3i30i−i−2i2i-1100−33−3−3332-200000000i−ii−i0−i3i3i−i00-1100−3300−i3i30000000000
χ522-22-22-12-2-2-1211-2-1−2i2i1-111-2-12−2i2i−2i2i0i3−i30i−i−2i2i-11003−333−3−32-200000000i−ii−i0i3−i3i−i00-11003−300i3−i30000000000
χ5344444-2-4-44-24-2-24-200-2-2-22-42-444-4-4000000002200000000000000000022-2-2000000000000000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-22-42-4-4-4440000000022000000000000000000-2-222000000000000000000000000000
χ554444-24-4-4-24-244-2-200-2-2-2-42-420000000000002200000000004-400-2-2000000000000000020000000000000000
χ564444-24-4-4-24-244-2-200-2-2-2-42-42000000000000220000000000-4400220000000000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-4-4-44-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-444004-4-4-44-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-44-2-44-4-2422-4-2002-22-242-44i−4i−4i4i000000002-20000000000000000002i−2i−2i2i000000000000000000000000000
χ644-44-44-2-44-4-2422-4-2002-22-242-4−4i4i4i−4i000000002-2000000000000000000−2i2i2i−2i000000000000000000000000000
χ654-44-4-244-424-2-4-42-24i−4i2-22-424-2000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ664-44-4-244-424-2-4-42-2−4i4i2-22-424-200000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ674-44-4-24-4424-2-4-42-2002-224-2-420000000000002-20000000000004i−4i000000000000000000000−2i2i000000000000
χ684-44-4-24-4424-2-4-42-2002-224-2-420000000000002-2000000000000−4i4i0000000000000000000002i−2i000000000000
χ694-44-4-2-24-42-2-222214i−4i-11-122-2-200000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000000i3−i3i−i0000000000000000000000
χ704-44-4-2-24-42-2-222214i−4i-11-122-2-2000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000000−i3i3i−i0000000000000000000000
χ714-44-4-2-24-42-2-22221−4i4i-11-122-2-200000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000000i3−i3−ii0000000000000000000000
χ724-44-4-2-24-42-2-22221−4i4i-11-122-2-2000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000000−i3i3−ii0000000000000000000000
χ734-4-444400-4-4-44-44400-4-44000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ744-4-444400-4-4-44-44400-4-440000000000000000000000000000000000−2222000000000000000000000−222200000000
χ754-4-44-24002-424-4-2-20022-2000000000000000000i6−i600i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ764-4-44-24002-424-4-2-20022-2000000000000000000i6−i600i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ774-4-44-24002-424-4-2-20022-2000000000000000000−i6i600−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ784-4-44-24002-424-4-2-20022-2000000000000000000−i6i600−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-40084-84-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-4-84-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-442002-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-400-4444-442002-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-4-4-884-4-4444200-22-2-4-444000000000000-220000000000000000000000000000000000000000000000000
χ858-8-888-400-84-8-448-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-2-220000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-2-22000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000

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