Finite Group Databasebeta

← Group #11895701

Character table — Group #11895701

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666344666881212121224242424444488881212121241212121212121212242424242424444488121212122424242412121212124424466121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-11-11111-1-1-1-111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-11111-111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-111-11-1-111-1-11111-111-1-1-1-11-1-1111-1-111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-111-1-1-1-1-111-1-1-111-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11-1-1-1-1-111111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-11-1-11-1-111-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-111-1-1-111-1-1111-1-1-1-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111-111-1-111-1-1-1-11-1-111-1-11-1-111-1-1-11111-111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-111-111-1-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-200000000-2-20022-2-20000000002200000-2000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000002-2002222000000000-2-200000-2000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-200000000-2200-2-2-2-2000000000-2-2000002000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-2000000002200-2-22200000000022000002000000-200000
χ2122222-122-122-1-12-122-1-1-122-122-12222220000000000222-1-122-1-1-1-1-1-1-1-1000222-1-1000000-1-1-1-1-100202-1-1-10000-1-1000-100
χ2222222-122-122-1-12-122-1-1-122-122-12222-2-20000000000222-1-122-1-1-1-1-1-1-1-1000-2-2-211000000-1-1-1-1-100-20-2111000011000100
χ2322222-122-122-1-12-122-1-1-1-2-2-122-1-2-2-2-2220000000000-222-1-1-2-2-1-11111110002-2-2-1-10000001-1-1110020-2-1-1-1000011000100
χ2422222-122-122-1-12-122-1-1-1-2-2-122-1-2-2-2-2-2-20000000000-222-1-1-2-2-1-1111111000-222110000001-1-11100-2021110000-1-1000-100
χ2522222-122-122-1-12-1-2-2-1-1-122-122-12222220000000000-2-2-211-2-2-1-1-1-1-1-1-1-1000222-1-10000001111100-20-211-10000-1-1000100
χ2622222-122-122-1-12-1-2-2-1-1-122-122-12222-2-20000000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-2-2-2110000001111100202-1-11000011000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-22200000000002-2-21122-1-11111110002-2-2-1-1000000-111-1-100-20211-1000011000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-2-2-200000000002-2-21122-1-1111111000-22211000000-111-1-10020-2-1-110000-1-1000100
χ292222-12222-1-122-1-122-1-1-1222-1-12-1-1-1-100222222-1-1-1-12-1-122-1-1-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-100020000-1-1-1-100000000
χ302222-12222-1-122-1-122-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-2000001111112-1-1-1-1000-20000111100000000
χ312222-12222-1-122-1-122-1-1-1-2-22-1-1211110022-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-21111-2-2200000-1-11111-2-1-11100020000-1-11100000000
χ322222-12222-1-122-1-122-1-1-1-2-22-1-12111100-2-222221111-2-1-12211-1-1-2-2111122-20000011-1-1-1-1-2-1-111000-2000011-1-100000000
χ332222-12222-1-122-1-1-2-2-1-1-1222-1-12-1-1-1-100222222-1-1-1-1-211-2-211-1-122-1-1-1-1-2-2200000-1-1-1-1-1-1-21111000-20000111100000000
χ342222-12222-1-122-1-1-2-2-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-21111-211-2-211-1-122-1-1-1-122-200000111111-2111100020000-1-1-1-100000000
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-1-1211110022-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-2111122200000-1-11111211-1-1000-2000011-1-100000000
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12111100-2-222221111211-2-2-1-1-1-1-2-21111-2-2-20000011-1-1-1-1211-1-100020000-1-11100000000
χ3722-2-222-222-2-2-2-2222i−2i-22-200-22-22000000002i2i−2i−2i000002i−2i2i−2i00-220000002-2000000002i2i−2i−2i02i−2i0000000000002-200000000
χ3822-2-222-222-2-2-2-2222i−2i-22-200-22-2200000000−2i−2i2i2i000002i−2i2i−2i00-22000000-2200000000−2i−2i2i2i02i−2i000000000000-2200000000
χ3922-2-222-222-2-2-2-222−2i2i-22-200-22-22000000002i2i−2i−2i00000−2i2i−2i2i00-22000000-22000000002i2i−2i−2i0−2i2i000000000000-2200000000
χ4022-2-222-222-2-2-2-222−2i2i-22-200-22-2200000000−2i−2i2i2i00000−2i2i−2i2i00-220000002-200000000−2i−2i2i2i0−2i2i0000000000002-200000000
χ4122-2-2-12-22211-2-2-1-12i−2i1-1100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30−ii2i−2i3−31-100−i3−i3i3i32-20000003−3−i−iii0−ii3−300000000−i3i3-1100000000
χ4222-2-2-12-22211-2-2-1-12i−2i1-1100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330−ii2i−2i3−31-100−i3−i3i3i3-22000000−33ii−i−i0−ii3−300000000i3−i31-100000000
χ4322-2-2-12-22211-2-2-1-12i−2i1-1100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330−ii2i−2i−331-100i3i3−i3−i32-2000000−33−i−iii0−ii−3300000000i3−i3-1100000000
χ4422-2-2-12-22211-2-2-1-12i−2i1-1100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30−ii2i−2i−331-100i3i3−i3−i3-220000003−3ii−i−i0−ii−3300000000−i3i31-100000000
χ4522-2-2-12-22211-2-2-1-1−2i2i1-1100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30i−i−2i2i−331-100−i3−i3i3i3-220000003−3−i−iii0i−i−3300000000i3−i31-100000000
χ4622-2-2-12-22211-2-2-1-1−2i2i1-1100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330i−i−2i2i−331-100−i3−i3i3i32-2000000−33ii−i−i0i−i−3300000000−i3i3-1100000000
χ4722-2-2-12-22211-2-2-1-1−2i2i1-1100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330i−i−2i2i3−31-100i3i3−i3−i3-22000000−33−i−iii0i−i3−300000000−i3i31-100000000
χ4822-2-2-12-22211-2-2-1-1−2i2i1-1100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30i−i−2i2i3−31-100i3i3−i3−i32-20000003−3ii−i−i0i−i3−300000000i3−i3-1100000000
χ492-2-222200-22-2-22-22002-2-22−200002−22−22i−2i2-22−22−22-22-20000000002−22−22−20000−i2i22i−2i002−22−2000002i−2i0000000000−i2i20−i2i2000
χ502-2-222200-22-2-22-22002-2-22−200002−22−22i−2i-22−22−22-22-220000000002−22−22−20000−i2i22i−2i00−22−2200000−2i2i0000000000−i2i20i2−i2000
χ512-2-222200-22-2-22-22002-2-22−200002−22−2−2i2i2-22−22−22-22-20000000002−22−22−20000i2−i2−2i2i002−22−200000−2i2i0000000000i2−i20i2−i2000
χ522-2-222200-22-2-22-22002-2-22−200002−22−2−2i2i-22−22−22-22-220000000002−22−22−20000i2−i2−2i2i00−22−22000002i−2i0000000000i2−i20−i2i2000
χ532-2-222200-22-2-22-22002-2-2−220000−22−222i−2i2-2−22−222-22-2000000000−22−22−220000i2−i22i−2i00−22−22000002i−2i0000000000i2−i20i2−i2000
χ542-2-222200-22-2-22-22002-2-2−220000−22−222i−2i-222−22−2-22-22000000000−22−22−220000i2−i22i−2i002−22−200000−2i2i0000000000i2−i20−i2i2000
χ552-2-222200-22-2-22-22002-2-2−220000−22−22−2i2i2-2−22−222-22-2000000000−22−22−220000−i2i2−2i2i00−22−2200000−2i2i0000000000−i2i20−i2i2000
χ562-2-222200-22-2-22-22002-2-2−220000−22−22−2i2i-222−22−2-22-22000000000−22−22−220000−i2i2−2i2i002−22−2000002i−2i0000000000−i2i20i2−i2000
χ5744444-2-4-4-244-2-24-200-2-2-2002-4-420000440000000000000000022000000000-400-2-20000000000000000002000000000000
χ5844444-2-4-4-244-2-24-200-2-2-2002-4-420000-4-4000000000000000002200000000040022000000000000000000-2000000000000
χ594444-24-4-44-2-244-2-200-2-2-200-422-4000000440000-2-2-2-200000002200000000-4000002200000000000000000000000000000
χ604444-24-4-44-2-244-2-200-2-2-200-422-4000000-4-40000222200000002200000000400000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-4444-44-4-4-4-44400-44-4004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-24-4-2-4-4224-2002-2200-2-44200000000000000000000000-22000000000000000000000000000000−2i32i30000000000000
χ6744-4-44-24-4-2-4-4224-2002-2200-2-44200000000000000000000000-220000000000000000000000000000002i3−2i30000000000000
χ6844-4-44-2-44-2-4-4224-24i−4i2-220024-4-2000000000000000004i−4i−2i2i002-2000000000000000000000−2i2i0000000000000000000000
χ6944-4-44-2-44-2-4-4224-2−4i4i2-220024-4-200000000000000000−4i4i2i−2i002-20000000000000000000002i−2i0000000000000000000000
χ7044-4-4-244-4422-4-4-2-2002-220042-2-40000000000002323−23−230000000-2200000000000000−232300000000000000000000000000000
χ7144-4-4-244-4422-4-4-2-2002-220042-2-4000000000000−23−2323230000000-220000000000000023−2300000000000000000000000000000
χ7244-4-4-2-2-44-22222-214i−4i-11-1002-22-2−2i3−2i32i32i30000000000000−2i2i−2i2i23−23-1100i3i3−i3−i3000000000000000i−i−3300000000000000000000
χ7344-4-4-2-2-44-22222-214i−4i-11-1002-22-22i32i3−2i3−2i30000000000000−2i2i−2i2i−2323-1100−i3−i3i3i3000000000000000i−i3−300000000000000000000
χ7444-4-4-2-2-44-22222-21−4i4i-11-1002-22-2−2i3−2i32i32i300000000000002i−2i2i−2i−2323-1100i3i3−i3−i3000000000000000−ii3−300000000000000000000
χ7544-4-4-2-2-44-22222-21−4i4i-11-1002-22-22i32i3−2i3−2i300000000000002i−2i2i−2i23−23-1100−i3−i3i3i3000000000000000−ii−3300000000000000000000
χ764-44-44400-4-444-4-4400-4-4400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ774-44-44400-4-444-4-4400-4-44000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ784-44-4-2400-42-24-42-20022-2000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ794-44-4-2400-42-24-42-20022-2000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ804-44-4-2400-42-24-42-20022-2000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ814-44-4-2400-42-24-42-20022-2000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ824-4-444-20024-42-2-4-200-22222−22000022−2222−224i−4i0000000000000000000−22−22−220000−2i22i2−2i2i00000000000000000000000i2−i2000000
χ834-4-444-20024-42-2-4-200-22222−22000022−2222−22−4i4i0000000000000000000−22−22−2200002i2−2i22i−2i00000000000000000000000−i2i2000000
χ844-4-444-20024-42-2-4-200-222−22220000−2222−22224i−4i00000000000000000002−22−22−200002i2−2i2−2i2i00000000000000000000000−i2i2000000
χ854-4-444-20024-42-2-4-200-222−22220000−2222−2222−4i4i00000000000000000002−22−22−20000−2i22i22i−2i00000000000000000000000i2−i2000000
χ864-4-44-2400-4-22-442-200-22222−220000−22−22004-422−2222−22-22-2200000000022−22−22−220000000000−22−220000000000000000000000000
χ874-4-44-2400-4-22-442-200-22222−220000−22−2200-44−2222−22222-22-200000000022−22−22−2200000000002−22−20000000000000000000000000
χ884-4-44-2400-4-22-442-200-222−222200002−22−2004-4−2222−2222-22-22000000000−22222−22−200000000002−22−20000000000000000000000000
χ894-4-44-2400-4-22-442-200-222−222200002−22−200-4422−2222−222-22-2000000000−22222−22−20000000000−22−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-48-8-44444-4200-22-200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ928-88-88-4004-88-44-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-4-444200-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ948-88-8-4-40044-4-444200-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ958-8-88-4-4004-444-442002-2-242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-4004-444-442002-2-2−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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