Finite Group Databasebeta

← Group #11872525

Character table — Group #11872525

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242424444466881212121212121212124481212121212121224242424224488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-111111-1-1-1-111111-11-11-1-1-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-111-1-11-111-1-1111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1-111-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111-1-11111-11-1-111-1-1-1-1-1-1-1-111-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-1111-1-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-111-111111-1-1-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11-1-111-1-11-111-1-1111111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000020000-22200-2-22200000000-2000000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200002-2-200-2-2220000000020000000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000020000-2220022-2-200000000-20000000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200002-2-20022-2-2000000002000000000000-220000
χ2122222-122-12-122-1-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1222002-1-1220000-1-1-1-1-1020-10000-1-100-1-1000000-10
χ2222222-122-12-122-1-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1-2-2-200-211-2-20000-1-1-1-1-10-201000011001100000010
χ2322222-122-12-122-1-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111222002-1-1-2-200001-1-1110-20-10000-1-1001100000010
χ2422222-122-12-122-1-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111-2-2-200-2112200001-1-111020100001100-1-1000000-10
χ2522222-122-12-122-1-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-21111112-2-2002-1-1-2-20000-111-1-1020-10000110011000000-10
χ2622222-122-12-122-1-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-2111111-22200-211220000-111-1-10-2010000-1-100-1-100000010
χ2722222-122-12-122-1-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-12-2-2002-1-1220000111110-20-100001100-1-100000010
χ2822222-122-12-122-1-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-1-22200-211-2-200001111102010000-1-10011000000-10
χ292222-12222-12-1-12-122-1-1-12-12-1222222-1-1-1-122-1-1-1-122-1-1-1-10002200000-1-1-1-12-1-1-1-12020-1-1-1-100-1-10000000000
χ302222-12222-12-1-12-122-1-1-12-12-12222-2-2-1-11122-1-111-2-211110002200000-1-1-1-1-2-1-111-20-20-1-11100110000000000
χ312222-12222-12-1-12-122-1-1-12-12-1-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-1000-2-20000011112-1-1-1-1-20-20111100110000000000
χ322222-12222-12-1-12-122-1-1-12-12-1-2-2-2-2-2-2-1-11122-1-111-2-21111000-2-2000001111-2-1-111202011-1-100-1-10000000000
χ332222-12222-12-1-12-1-2-2-1-1-12-12-122222-211-1-1-2-2-1-111-2-21111000-2-200000-1-1-1-1211-1-120-2011-1-100110000000000
χ342222-12222-12-1-12-1-2-2-1-1-12-12-12222-221111-2-2-1-1-1-122-1-1-1-1000-2-200000-1-1-1-1-21111-2020111100-1-10000000000
χ352222-12222-12-1-12-1-2-2-1-1-12-12-1-2-2-2-22-211-1-1-2-2-1-111-2-2111100022000001111211-1-1-2020-1-11100-1-10000000000
χ362222-12222-12-1-12-1-2-2-1-1-12-12-1-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-100022000001111-2111120-20-1-1-1-100110000000000
χ372-2-22222-2-2-222-2-222i−2i-2-22-2-2222i−2i2i−2i002i−2i002i−2i2-2000000000002-2000002i−2i2i−2i02i−2i0000002-20000000000000000
χ382-2-22222-2-2-222-2-222i−2i-2-22-2-222−2i2i−2i2i002i−2i002i−2i2-200000000000-2200000−2i2i−2i2i02i−2i000000-220000000000000000
χ392-2-22222-2-2-222-2-22−2i2i-2-22-2-2222i−2i2i−2i00−2i2i00−2i2i2-200000000000-22000002i−2i2i−2i0−2i2i000000-220000000000000000
χ402-2-22222-2-2-222-2-22−2i2i-2-22-2-222−2i2i−2i2i00−2i2i00−2i2i2-2000000000002-200000−2i2i−2i2i0−2i2i0000002-20000000000000000
χ412-2-2222-22-2-222-2-2200-2-2222-2-22i−2i−2i2i00000000-220000000002i−2i0000000−2i2i2i−2i00000000000002i−2i00002-2000000
χ422-2-2222-22-2-222-2-2200-2-2222-2-22i−2i−2i2i00000000-22000000000−2i2i0000000−2i2i2i−2i0000000000000−2i2i0000-22000000
χ432-2-2222-22-2-222-2-2200-2-2222-2-2−2i2i2i−2i00000000-220000000002i−2i00000002i−2i−2i2i00000000000002i−2i0000-22000000
χ442-2-2222-22-2-222-2-2200-2-2222-2-2−2i2i2i−2i00000000-22000000000−2i2i00000002i−2i−2i2i0000000000000−2i2i00002-2000000
χ452-2-22-122-2-212-11-2-12i−2i11-1-212-12i−2i2i−2i00−ii−i3i32i−2i-113−30033−3−30002-200000−ii−ii0−ii−i3i30000-113−300−i3i30000000000
χ462-2-22-122-2-212-11-2-12i−2i11-1-212-12i−2i2i−2i00−iii3−i32i−2i-11−3300−3−3330002-200000−ii−ii0−iii3−i30000-11−3300i3−i30000000000
χ472-2-22-122-2-212-11-2-12i−2i11-1-212-1−2i2i−2i2i00−ii−i3i32i−2i-113−30033−3−3000-2200000i−ii−i0−ii−i3i300001-1−3300i3−i30000000000
χ482-2-22-122-2-212-11-2-12i−2i11-1-212-1−2i2i−2i2i00−iii3−i32i−2i-11−3300−3−333000-2200000i−ii−i0−iii3−i300001-13−300−i3i30000000000
χ492-2-22-122-2-212-11-2-1−2i2i11-1-212-12i−2i2i−2i00i−i−i3i3−2i2i-11−3300−3−333000-2200000−ii−ii0i−i−i3i300001-13−300i3−i30000000000
χ502-2-22-122-2-212-11-2-1−2i2i11-1-212-12i−2i2i−2i00i−ii3−i3−2i2i-113−30033−3−3000-2200000−ii−ii0i−ii3−i300001-1−3300−i3i30000000000
χ512-2-22-122-2-212-11-2-1−2i2i11-1-212-1−2i2i−2i2i00i−i−i3i3−2i2i-11−3300−3−3330002-200000i−ii−i0i−i−i3i30000-11−3300−i3i30000000000
χ522-2-22-122-2-212-11-2-1−2i2i11-1-212-1−2i2i−2i2i00i−ii3−i3−2i2i-113−30033−3−30002-200000i−ii−i0i−ii3−i30000-113−300i3−i30000000000
χ5344444-2-4-4-24-244-2-200-2-2-22-42-4000000000000220000000040000-4-2-2000000000000002000000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-22-42-40000000000002200000000-4000042200000000000000-2000000000000000000
χ554444-24-4-44-24-2-24-200-2-2-2-42-4244-4-4000000002200000000000000000022-2-2000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-2-42-42-4-4440000000022000000000000000000-2-222000000000000000000000000000
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
χ6144-4-444004-4-4-44-44004-4-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ6244-4-444004-4-4-44-44004-4-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ6344-4-44-200-2-42-442-200-22200000000000000000000i6−i6i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ6444-4-44-200-2-42-442-200-22200000000000000000000i6−i6i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ6544-4-44-200-2-42-442-200-22200000000000000000000−i6i6−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ6644-4-44-200-2-42-442-200-22200000000000000000000−i6i6−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ674-44-44400-44-4-4-44400-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ684-44-44400-44-4-4-44400-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ694-4-444-24-42-4-24-42-24i−4i22-22-4-240000004i−4i00−2i2i-2200000000000000000000000−2i2i000000000000000000000000
χ704-4-444-24-42-4-24-42-2−4i4i22-22-4-24000000−4i4i002i−2i-22000000000000000000000002i−2i000000000000000000000000
χ714-4-444-2-442-4-24-42-20022-2-242-40000000000002-20000000004i−4i000000000000000000000000−2i2i000000000000
χ724-4-444-2-442-4-24-42-20022-2-242-40000000000002-2000000000−4i4i0000000000000000000000002i−2i000000000000
χ734-4-44-24-44-424-22-4-20022-24-2-424i−4i−4i4i000000002-20000000000000000002i−2i−2i2i000000000000000000000000000
χ744-4-44-24-44-424-22-4-20022-24-2-42−4i4i4i−4i000000002-2000000000000000000−2i2i2i−2i000000000000000000000000000
χ754-4-44-2-24-422-2-22214i−4i-1-1122-2-2000000−2i2i−2i32i3−2i2i1-123−2300−3−333000000000000000i−ii3−i30000000000000000000000
χ764-4-44-2-24-422-2-22214i−4i-1-1122-2-2000000−2i2i2i3−2i3−2i2i1-1−23230033−3−3000000000000000i−i−i3i30000000000000000000000
χ774-4-44-2-24-422-2-2221−4i4i-1-1122-2-20000002i−2i−2i32i32i−2i1-1−23230033−3−3000000000000000−iii3−i30000000000000000000000
χ784-4-44-2-24-422-2-2221−4i4i-1-1122-2-20000002i−2i2i3−2i32i−2i1-123−2300−3−333000000000000000−ii−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-480084-84-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4444-442002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-442002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ838-88-88-400484-8-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-8-4-8448-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-4444-4200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ868-88-8-4-4004-4444-4200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ878-8-88-4-4-8844-4-444200-2-22-4-444000000000000-220000000000000000000000000000000000000000000000000

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