Finite Group Databasebeta

← Group #11887556

Character table — Group #11887556

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242422226666888841212121212121212242424242424444466881212242424241212121212444441212121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-111111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-11-111-1-111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-111-11111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-1-1-111-1-11111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-1111-1-1-1-1-1-1-111111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-111111-1-11-1-1-1-111-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1-1111111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-111-1111-1-1-1-1-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-111-11111-1-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-2000000-200-22200-2-200000000022000-200000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-2000000-2002-2-200-2-2000000000-2-2000200000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-2000000200-2220022000000000-2-2000-200000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-20000002002-2-2002200000000022000200000000-200000
χ2122222-1222-1-12-12-122-1-1-1222-1-122222002200000000222-1-122-1-1-1-1-1-1-1-10002-1-122000000-1-1-1-1-100202-100-1-100-1-1000-100
χ2222222-1222-1-12-12-122-1-1-1222-1-12222200-2-200000000222-1-122-1-1-1-1-1-1-1-1000-211-2-2000000-1-1-1-1-100-20-2100110011000100
χ2322222-1222-1-12-12-122-1-1-1-2-22-1-12-2-2-2-2002200000000-222-1-1-2-2-1-11111110002-1-1-2-20000001-1-11100-202-100-1-10011000100
χ2422222-1222-1-12-12-122-1-1-1-2-22-1-12-2-2-2-200-2-200000000-222-1-1-2-2-1-1111111000-211220000001-1-1110020-21001100-1-1000-100
χ2522222-1222-1-12-12-1-2-2-1-1-1222-1-122222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-10002-1-1220000001111100-20-2-1001100-1-1000100
χ2622222-1222-1-12-12-1-2-2-1-1-1222-1-12222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-211-2-20000001111100202100-1-10011000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-22-1-12-2-2-2-20022000000002-2-21122-1-11111110002-1-1-2-2000000-111-1-10020-2-100110011000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200-2-2000000002-2-21122-1-1111111000-21122000000-111-1-100-202100-1-100-1-1000100
χ292222-1222-122-12-1-122-1-1-122-122-1-1-1-1-12200-1-1-1-122222-1-122-1-1-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-1000200-1-100-1-100000000
χ302222-1222-122-12-1-122-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-22-1-122-1-1-1-122-1-1-1-1-2-2-2000001111112-1-1-1-1000-20011001100000000
χ312222-1222-122-12-1-122-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-2-1-12211-1-1-2-211112-2-200000-1-11111-2-1-111000200-1-1001100000000
χ322222-1222-122-12-1-122-1-1-1-2-2-122-11111-2-20011112222-2-1-12211-1-1-2-21111-2220000011-1-1-1-1-2-1-111000-2001100-1-100000000
χ332222-1222-122-12-1-1-2-2-1-1-122-122-1-1-1-1-12200-1-1-1-12222-211-2-211-1-122-1-1-1-12-2-200000-1-1-1-1-1-1-21111000-20011001100000000
χ342222-1222-122-12-1-1-2-2-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-211-2-211-1-122-1-1-1-1-22200000111111-21111000200-1-100-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2211-2-2-1-1-1-1-2-2111122200000-1-11111211-1-1000-2001100-1-100000000
χ362222-1222-122-12-1-1-2-2-1-1-1-2-2-122-11111-2-20011112222211-2-2-1-1-1-1-2-21111-2-2-20000011-1-1-1-1211-1-1000200-1-1001100000000
χ372-22-22200-2-2-222-2200-22-2−i2i20000−i2−i2i2i22-22-222-2-2−i2−i2i2i2000000000−i2i2−i2−i2i2i200002-2−i2i200−i2−i2i2i2000002-20000000000−i2i20−i2i2000
χ382-22-22200-2-2-222-2200-22-2−i2i20000−i2−i2i2i22-2-2222-2-2−i2−i2i2i2000000000−i2i2−i2−i2i2i20000-22i2−i200−i2−i2i2i200000-220000000000i2−i20i2−i2000
χ392-22-22200-2-2-222-2200-22-2−i2i20000−i2−i2i2i2-222-2-2-222i2i2−i2−i2000000000−i2i2−i2−i2i2i200002-2−i2i200i2i2−i2−i200000-220000000000−i2i20i2−i2000
χ402-22-22200-2-2-222-2200-22-2−i2i20000−i2−i2i2i2-22-22-2-222i2i2−i2−i2000000000−i2i2−i2−i2i2i20000-22i2−i200i2i2−i2−i2000002-20000000000i2−i20−i2i2000
χ412-22-22200-2-2-222-2200-22-2i2−i20000i2i2−i2−i22-22-222-2-2i2i2−i2−i2000000000i2−i2i2i2−i2−i200002-2i2−i200i2i2−i2−i2000002-20000000000i2−i20i2−i2000
χ422-22-22200-2-2-222-2200-22-2i2−i20000i2i2−i2−i22-2-2222-2-2i2i2−i2−i2000000000i2−i2i2i2−i2−i20000-22−i2i200i2i2−i2−i200000-220000000000−i2i20−i2i2000
χ432-22-22200-2-2-222-2200-22-2i2−i20000i2i2−i2−i2-222-2-2-222−i2−i2i2i2000000000i2−i2i2i2−i2−i200002-2i2−i200−i2−i2i2i200000-220000000000i2−i20−i2i2000
χ442-22-22200-2-2-222-2200-22-2i2−i20000i2i2−i2−i2-22-22-2-222−i2−i2i2i2000000000i2−i2i2i2−i2−i20000-22−i2i200−i2−i2i2i2000002-20000000000−i2i20i2−i2000
χ452-2-22222-2-22-2-2-2222i−2i-2-22002-22-20000000000002i−2i2i−2i02i−2i2i−2i002-200000002-200000002i−2i2i−2i02i−2i0000000000002-200000000
χ462-2-22222-2-22-2-2-2222i−2i-2-22002-22-2000000000000−2i2i−2i2i02i−2i2i−2i002-20000000-220000000−2i2i−2i2i02i−2i000000000000-2200000000
χ472-2-22222-2-22-2-2-222−2i2i-2-22002-22-20000000000002i−2i2i−2i0−2i2i−2i2i002-20000000-2200000002i−2i2i−2i0−2i2i000000000000-2200000000
χ482-2-22222-2-22-2-2-222−2i2i-2-22002-22-2000000000000−2i2i−2i2i0−2i2i−2i2i002-200000002-20000000−2i2i−2i2i0−2i2i0000000000002-200000000
χ492-2-22-122-212-21-2-1-12i−2i11-100-1-2213−33−30000−i3i3−i3i32i−2i2i−2i0−ii2i−2i−i3i3-11003−33−302-200000−i3i3−ii−ii0−ii−i3i30000003−300-1100000000
χ502-2-22-122-212-21-2-1-12i−2i11-100-1-2213−33−30000i3−i3i3−i3−2i2i−2i2i0−ii2i−2i−i3i3-11003−33−30-2200000i3−i3i−ii−i0−ii−i3i3000000−33001-100000000
χ512-2-22-122-212-21-2-1-12i−2i11-100-1-221−33−330000−i3i3−i3i3−2i2i−2i2i0−ii2i−2ii3−i3-1100−33−330-2200000−i3i3i−ii−i0−iii3−i30000003−3001-100000000
χ522-2-22-122-212-21-2-1-12i−2i11-100-1-221−33−330000i3−i3i3−i32i−2i2i−2i0−ii2i−2ii3−i3-1100−33−3302-200000i3−i3−ii−ii0−iii3−i3000000−3300-1100000000
χ532-2-22-122-212-21-2-1-1−2i2i11-100-1-2213−33−30000−i3i3−i3i32i−2i2i−2i0i−i−2i2ii3−i3-11003−33−30-2200000−i3i3−ii−ii0i−ii3−i3000000−33001-100000000
χ542-2-22-122-212-21-2-1-1−2i2i11-100-1-2213−33−30000i3−i3i3−i3−2i2i−2i2i0i−i−2i2ii3−i3-11003−33−302-200000i3−i3i−ii−i0i−ii3−i30000003−300-1100000000
χ552-2-22-122-212-21-2-1-1−2i2i11-100-1-221−33−330000−i3i3−i3i3−2i2i−2i2i0i−i−2i2i−i3i3-1100−33−3302-200000−i3i3i−ii−i0i−i−i3i3000000−3300-1100000000
χ562-2-22-122-212-21-2-1-1−2i2i11-100-1-221−33−330000i3−i3i3−i32i−2i2i−2i0i−i−2i2i−i3i3-1100−33−330-2200000i3−i3−ii−ii0i−i−i3i30000003−3001-100000000
χ5744444-2-4-44-2-24-24-200-2-2-200-422-40000004400000000000000022000000000-4-2-2000000000000000000200000000000000
χ5844444-2-4-44-2-24-24-200-2-2-200-422-4000000-4-400000000000000022000000000422000000000000000000-200000000000000
χ594444-24-4-4-244-24-2-200-2-2-2002-4-4200004400-2-2-2-20000000000022000000-400000002200000000000000000000000000000
χ604444-24-4-4-244-24-2-200-2-2-2002-4-420000-4-4002222000000000002200000040000000-2-200000000000000000000000000000
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
χ6544-4-444004-44-4-4-44004-4-400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-444004-44-4-4-44004-4-4000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ6744-4-4-2400-2-442-42-200-222000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ6844-4-4-2400-2-442-42-200-222000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ6944-4-4-2400-2-442-42-200-222000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ7044-4-4-2400-2-442-42-200-222000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ714-44-44-200-4224-2-4-2002-22−2i22i20000−2i2−2i22i22i2004-400000000000000000i2−i2i2i2−i2−i20000-22−2i22i200000000000000000000000i2−i2000000
χ724-44-44-200-4224-2-4-2002-22−2i22i20000−2i2−2i22i22i200-4400000000000000000i2−i2i2i2−i2−i200002-22i2−2i200000000000000000000000−i2i2000000
χ734-44-44-200-4224-2-4-2002-222i2−2i200002i22i2−2i2−2i2004-400000000000000000−i2i2−i2−i2i2i20000-222i2−2i200000000000000000000000−i2i2000000
χ744-44-44-200-4224-2-4-2002-222i2−2i200002i22i2−2i2−2i200-4400000000000000000−i2i2−i2−i2i2i200002-2−2i22i200000000000000000000000i2−i2000000
χ754-44-4-24002-4-4-242-2002-22−2i22i20000i2i2−i2−i24-400-2-222−2i2−2i22i22i2000000000−2i22i2i2i2−i2−i20000000000i2i2−i2−i20000000000000000000000000
χ764-44-4-24002-4-4-242-2002-22−2i22i20000i2i2−i2−i2-440022-2-22i22i2−2i2−2i2000000000−2i22i2i2i2−i2−i20000000000−i2−i2i2i20000000000000000000000000
χ774-44-4-24002-4-4-242-2002-222i2−2i20000−i2−i2i2i24-400-2-2222i22i2−2i2−2i20000000002i2−2i2−i2−i2i2i20000000000−i2−i2i2i20000000000000000000000000
χ784-44-4-24002-4-4-242-2002-222i2−2i20000−i2−i2i2i2-440022-2-2−2i2−2i22i22i20000000002i2−2i2−i2−i2i2i20000000000i2i2−i2−i20000000000000000000000000
χ794-4-4444-44-44-4-4-44400-4-4400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-4-4-22-424-24i−4i22-20042-2-4000000000000000004i−4i−2i2i00-22000000000000000000000−2i2i0000000000000000000000
χ814-4-444-24-4-4-22-424-2−4i4i22-20042-2-400000000000000000−4i4i2i−2i00-220000000000000000000002i−2i0000000000000000000000
χ824-4-444-2-44-4-22-424-20022-200-4-224000000000000000000000002-200000000000000000000000000000000023−230000000000
χ834-4-444-2-44-4-22-424-20022-200-4-224000000000000000000000002-2000000000000000000000000000000000−23230000000000
χ844-4-44-24-4424-42-4-2-20022-20024-4-200000000−2i32i3−2i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ854-4-44-24-4424-42-4-2-20022-20024-4-2000000002i3−2i32i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ864-4-44-2-24-42-2222-214i−4i-1-1100-22-2223−2323−230000000000000−2i2i−2i2i−2i32i31-100−33−33000000000000000i−ii3−i300000000000000000000
χ874-4-44-2-24-42-2222-214i−4i-1-1100-22-22−2323−23230000000000000−2i2i−2i2i2i3−2i31-1003−33−3000000000000000i−i−i3i300000000000000000000
χ884-4-44-2-24-42-2222-21−4i4i-1-1100-22-2223−2323−2300000000000002i−2i2i−2i2i3−2i31-100−33−33000000000000000−ii−i3i300000000000000000000
χ894-4-44-2-24-42-2222-21−4i4i-1-1100-22-22−2323−232300000000000002i−2i2i−2i−2i32i31-1003−33−3000000000000000−iii3−i300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-88-40084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-400-44-44442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-400444-4-44200-22-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ958-88-8-4-400444-4-44200-22-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ968-8-88-4-4-884-4444-4200-2-22004-44-400000000000000000000000-22000000000000000000000000000000000000000000000

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