Finite Group Databasebeta

← Group #11873344

Character table — Group #11873344

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424244444448812121212121212121212124481212121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-11111111-1-1-1-111111-11-11-1-1-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-11-111-1-1111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111-1-1-111-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111-1-11111-11-1-111-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-11111-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-111111-1-1-1-111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11-1-111-1-11-111-1-111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000200-20000-2-222-2-20000000020000000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200200002222-2-200000000-200000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000200-20000-2-2-2-22200000000200000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-2002000022-2-22200000000-20000000000-22000000
χ2122222-12222-1-1-12-122-1-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-10220000000-1-1-1-12-1-1-1-12020-1-1-1-100-1-10000000000
χ2222222-12222-1-1-12-122-1-1-12-1-122222-2-222-1-111-1-111-2-211110220000000-1-1-1-1-2-1-111-20-20-1-11100110000000000
χ2322222-12222-1-1-12-122-1-1-12-1-12-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-10-2-2000000011112-1-1-1-1-20-20111100110000000000
χ2422222-12222-1-1-12-122-1-1-12-1-12-2-2-2-2-2-222-1-111-1-111-2-211110-2-200000001111-2-1-111202011-1-100-1-10000000000
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-1222222-2-2-211-1-1-1-111-2-211110-2-20000000-1-1-1-1211-1-120-2011-1-100110000000000
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-122222-22-2-21111-1-1-1-122-1-1-1-10-2-20000000-1-1-1-1-21111-2020111100-1-10000000000
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-12-2-2-2-22-2-2-211-1-1-1-111-2-2111102200000001111211-1-1-2020-1-11100-1-10000000000
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-12-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-102200000001111-2111120-20-1-1-1-100110000000000
χ292222-1222-1-1222-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-120022222-1-10000-1-1-1-1-1020-10000-1-100-1-1000000-10
χ302222-1222-1-1222-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-1-200-2-2-2-2-2110000-1-1-1-1-10-201000011001100000010
χ312222-1222-1-1222-1-122-1-1-1-122-10000-2-2-1-122-2-2-1-1-2-2111111200222-2-2-1-100001-1-1110-20-10000-1-1001100000010
χ322222-1222-1-1222-1-122-1-1-1-122-10000-2-2-1-122-2-2-1-1-2-2111111-200-2-2-2221100001-1-111020100001100-1-1000000-10
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-100002-211-2-222-1-1-2-21111112002-2-2-2-2-1-10000-111-1-1020-10000110011000000-10
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-100002-211-2-222-1-1-2-2111111-200-22222110000-111-1-10-2010000-1-100-1-100000010
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-12002-2-222-1-10000111110-20-100001100-1-100000010
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-1-200-222-2-21100001111102010000-1-10011000000-10
χ372-22-2222-2-2-2-22-22200-2-22-22-222i−2i2i−2i00000000-220000000000002-200002i−2i2i−2i00000000000002-20000002i−2i0000
χ382-22-2222-2-2-2-22-22200-2-22-22-222i−2i2i−2i00000000-22000000000000-2200002i−2i2i−2i0000000000000-22000000−2i2i0000
χ392-22-2222-2-2-2-22-22200-2-22-22-22−2i2i−2i2i00000000-220000000000002-20000−2i2i−2i2i00000000000002-2000000−2i2i0000
χ402-22-2222-2-2-2-22-22200-2-22-22-22−2i2i−2i2i00000000-22000000000000-220000−2i2i−2i2i0000000000000-220000002i−2i0000
χ412-22-222-22-2-2-22-2222i−2i-2-222-22-22i−2i−2i2i002i−2i2i−2i002-20000000002-200000002i−2i−2i2i02i−2i0000002-20000000000000000
χ422-22-222-22-2-2-22-2222i−2i-2-222-22-2−2i2i2i−2i002i−2i2i−2i002-2000000000-220000000−2i2i2i−2i02i−2i000000-220000000000000000
χ432-22-222-22-2-2-22-222−2i2i-2-222-22-22i−2i−2i2i00−2i2i−2i2i002-2000000000-2200000002i−2i−2i2i0−2i2i000000-220000000000000000
χ442-22-222-22-2-2-22-222−2i2i-2-222-22-2−2i2i2i−2i00−2i2i−2i2i002-20000000002-20000000−2i2i2i−2i0−2i2i0000002-20000000000000000
χ452-22-22-1-22-2-21-112-12i−2i11-121-1-22i−2i−2i2i002i−2i−ii−i3i3-113−30033−3−302-20000000−iii−i0−ii−i3i30000-113−300−i3i30000000000
χ462-22-22-1-22-2-21-112-12i−2i11-121-1-22i−2i−2i2i002i−2i−iii3−i3-11−3300−3−33302-20000000−iii−i0−iii3−i30000-11−3300i3−i30000000000
χ472-22-22-1-22-2-21-112-12i−2i11-121-1-2−2i2i2i−2i002i−2i−ii−i3i3-113−30033−3−30-220000000i−i−ii0−ii−i3i300001-1−3300i3−i30000000000
χ482-22-22-1-22-2-21-112-12i−2i11-121-1-2−2i2i2i−2i002i−2i−iii3−i3-11−3300−3−3330-220000000i−i−ii0−iii3−i300001-13−300−i3i30000000000
χ492-22-22-1-22-2-21-112-1−2i2i11-121-1-22i−2i−2i2i00−2i2ii−i−i3i3-11−3300−3−3330-220000000−iii−i0i−i−i3i300001-13−300i3−i30000000000
χ502-22-22-1-22-2-21-112-1−2i2i11-121-1-22i−2i−2i2i00−2i2ii−ii3−i3-113−30033−3−30-220000000−iii−i0i−ii3−i300001-1−3300−i3i30000000000
χ512-22-22-1-22-2-21-112-1−2i2i11-121-1-2−2i2i2i−2i00−2i2ii−i−i3i3-11−3300−3−33302-20000000i−i−ii0i−i−i3i30000-11−3300−i3i30000000000
χ522-22-22-1-22-2-21-112-1−2i2i11-121-1-2−2i2i2i−2i00−2i2ii−ii3−i3-113−30033−3−302-20000000i−i−ii0i−ii3−i30000-113−300i3−i30000000000
χ5344444-2-4-444-2-2-24-200-2-2-2-422-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-2-422-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-22-4-420000000000002200000000400-4000022000000000000-2000000000000000000
χ564444-24-4-4-2-2444-2-200-2-2-22-4-420000000000002200000000-40040000-2-20000000000002000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-44400-444-4-4-4400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44-24-4-4-42-224-20022-2-4-2244i−4i4i−4i000000002-2000000000000000000−2i2i−2i2i000000000000000000000000000
χ644-44-44-24-4-4-42-224-20022-2-4-224−4i4i−4i4i000000002-20000000000000000002i−2i2i−2i000000000000000000000000000
χ654-44-4-244-422-44-4-2-20022-224-4-20000000000002-20000000000004-4000000000000000000000-22000000000000
χ664-44-4-244-422-44-4-2-20022-224-4-20000000000002-2000000000000-440000000000000000000002-2000000000000
χ674-44-4-24-4422-44-4-2-24i−4i22-2-2-442000000−2i2i4i−4i00-2200000000000000000000000−2i2i000000000000000000000000
χ684-44-4-24-4422-44-4-2-2−4i4i22-2-2-4420000002i−2i−4i4i00-22000000000000000000000002i−2i000000000000000000000000
χ694-44-4-2-2-44222-22-214i−4i-1-11-22-22000000−2i2i−2i2i−2i32i31-123−2300−3−333000000000000000i−ii3−i30000000000000000000000
χ704-44-4-2-2-44222-22-214i−4i-1-11-22-22000000−2i2i−2i2i2i3−2i31-1−23230033−3−3000000000000000i−i−i3i30000000000000000000000
χ714-44-4-2-2-44222-22-21−4i4i-1-11-22-220000002i−2i2i−2i−2i32i31-1−23230033−3−3000000000000000−iii3−i30000000000000000000000
χ724-44-4-2-2-44222-22-21−4i4i-1-11-22-220000002i−2i2i−2i2i3−2i31-123−2300−3−333000000000000000−ii−i3i30000000000000000000000
χ734-4-4444004-4-4-44-44004-4-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ744-4-4444004-4-4-44-44004-4-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ754-4-44-2400-22-4-442-200-22200000000000000000000i6−i6i6−i6i6−i600000022−22−2i32i3000000000000000000000−2200000000
χ764-4-44-2400-22-4-442-200-22200000000000000000000i6−i6i6−i6i6−i6000000−22222i3−2i30000000000000000000002−200000000
χ774-4-44-2400-22-4-442-200-22200000000000000000000−i6i6−i6i6−i6i600000022−222i3−2i3000000000000000000000−2200000000
χ784-4-44-2400-22-4-442-200-22200000000000000000000−i6i6−i6i6−i6i6000000−2222−2i32i30000000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-48004-48-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-4444200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-4-48-8444-44-4200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000
χ858-8-888-4008-844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4444-442002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-400-4444-442002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000

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