Finite Group Databasebeta

← Group #11887816

Character table — Group #11887816

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666344666881212121224242424224466668888412121212121212122424242424244444881212121224242424121212121244244121212121212122424288644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-111111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-111-11-1-111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-111-1-111-11111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-111-1-1-1-11-11-111-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1111-1-111-1-11111-111-1-1-1-1-11-11-1-11111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-1111-1-1-1-1-1-1-111111-1-111-1
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
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
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
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111-1-11-1-1-1-111-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-111-1-111-1-1-1-11-1-111-1-1-11-1-1-1-1111111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-111-1-11-11111-1-1-1-1-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-111-11111-1-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-2000000-200-20022-2-200000000022000-200000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-2000000-200200-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-2000000200-2002222000000000-2-2000-200000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-2000000200200-2-22200000000022000200000000-200000
χ2122222-1222-1-12-12-122-1-1-122-12-1222220022000000002-1-12222-1-1-1-1-1-1-1-1000222-1-1000000-1-1-1-1-100220-100-1-100-1-1000-100
χ2222222-1222-1-12-12-122-1-1-122-12-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-1000-2-2-211000000-1-1-1-1-100-2-20100110011000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-12-2-2-2-2002200000000-2-1-122-2-2-1-11111110002-2-2-1-10000001-1-11100-220-100-1-10011000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-1-122-2-2-1-1111111000-222110000001-1-111002-201001100-1-1000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-1000222-1-10000001111100-2-20-1001100-1-1000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-1000-2-2-2110000001111100220100-1-10011000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2-2-2002200000000211-2-222-1-11111110002-2-2-1-1000000-111-1-1002-20-100110011000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-200000000211-2-222-1-1111111000-22211000000-111-1-100-220100-1-100-1-1000100
χ292222-1222-122-12-1-122-1-1-1222-12-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-1000020-1-100-1-100000000
χ302222-1222-122-12-1-122-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-2-2-2000001111112-1-1-1-10000-2011001100000000
χ312222-1222-122-12-1-122-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-2-222-1-111-1-1-2-211112-2-200000-1-11111-2-1-111000020-1-1001100000000
χ322222-1222-122-12-1-122-1-1-1-2-22-12-11111-2-20011112222-222-1-111-1-1-2-21111-2220000011-1-1-1-1-2-1-1110000-201100-1-100000000
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-12-2-200000-1-1-1-1-1-1-211110000-2011001100000000
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-1-22200000111111-21111000020-1-100-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-22-2-211-1-1-1-1-2-2111122200000-1-11111211-1-10000-201100-1-100000000
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-11111-2-200111122222-2-211-1-1-1-1-2-21111-2-2-20000011-1-1-1-1211-1-1000020-1-1001100000000
χ372-22-222-22-2-2-2-22222i−2i-2-220022-2-20000000000002i2i−2i−2i02i−2i2i−2i002-200000002-200000002i2i−2i−2i02i−2i0000000000002-200000000
χ382-22-222-22-2-2-2-22222i−2i-2-220022-2-2000000000000−2i−2i2i2i02i−2i2i−2i002-20000000-220000000−2i−2i2i2i02i−2i000000000000-2200000000
χ392-22-222-22-2-2-2-2222−2i2i-2-220022-2-20000000000002i2i−2i−2i0−2i2i−2i2i002-20000000-2200000002i2i−2i−2i0−2i2i000000000000-2200000000
χ402-22-222-22-2-2-2-2222−2i2i-2-220022-2-2000000000000−2i−2i2i2i0−2i2i−2i2i002-200000002-20000000−2i−2i2i2i0−2i2i0000000000002-200000000
χ412-22-2-12-221-2-212-1-12i−2i11-1002-1-2133−3−30000−i3−i3i3i32i2i−2i−2i02i−2i−ii−i3i3-110033−3−302-200000−i3i3−i−iii0−ii−i3i30000003−300-1100000000
χ422-22-2-12-221-2-212-1-12i−2i11-1002-1-2133−3−30000i3i3−i3−i3−2i−2i2i2i02i−2i−ii−i3i3-110033−3−30-2200000i3−i3ii−i−i0−ii−i3i3000000−33001-100000000
χ432-22-2-12-221-2-212-1-12i−2i11-1002-1-21−3−3330000−i3−i3i3i3−2i−2i2i2i02i−2i−iii3−i3-1100−3−3330-2200000−i3i3ii−i−i0−iii3−i30000003−3001-100000000
χ442-22-2-12-221-2-212-1-12i−2i11-1002-1-21−3−3330000i3i3−i3−i32i2i−2i−2i02i−2i−iii3−i3-1100−3−33302-200000i3−i3−i−iii0−iii3−i3000000−3300-1100000000
χ452-22-2-12-221-2-212-1-1−2i2i11-1002-1-2133−3−30000−i3−i3i3i32i2i−2i−2i0−2i2ii−ii3−i3-110033−3−30-2200000−i3i3−i−iii0i−ii3−i3000000−33001-100000000
χ462-22-2-12-221-2-212-1-1−2i2i11-1002-1-2133−3−30000i3i3−i3−i3−2i−2i2i2i0−2i2ii−ii3−i3-110033−3−302-200000i3−i3ii−i−i0i−ii3−i30000003−300-1100000000
χ472-22-2-12-221-2-212-1-1−2i2i11-1002-1-21−3−3330000−i3−i3i3i3−2i−2i2i2i0−2i2ii−i−i3i3-1100−3−33302-200000−i3i3ii−i−i0i−i−i3i3000000−3300-1100000000
χ482-22-2-12-221-2-212-1-1−2i2i11-1002-1-21−3−3330000i3i3−i3−i32i2i−2i−2i0−2i2ii−i−i3i3-1100−3−3330-2200000i3−i3−i−iii0i−i−i3i30000003−3001-100000000
χ492-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i22-22i−2i2-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i200002−22i−2i00−i2i2−i2i2000002i−2i00000000002−202−2000
χ502-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i22-2−2i2i2-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i20000−22−2i2i00−i2i2−i2i200000−2i2i0000000000−220−22000
χ512-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i2-222i−2i-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i200002−22i−2i00i2−i2i2−i200000−2i2i00000000002−20−22000
χ522-2-222200-2-222-2-2200-22-2−i2i20000−i2i2−i2i2-22−2i2i-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i20000−22−2i2i00i2−i2i2−i2000002i−2i0000000000−2202−2000
χ532-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i22-22i−2i2-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i20000−222i−2i00i2−i2i2−i2000002i−2i0000000000−220−22000
χ542-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i22-2−2i2i2-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i200002−2−2i2i00i2−i2i2−i200000−2i2i00000000002−202−2000
χ552-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i2-222i−2i-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i20000−222i−2i00−i2i2−i2i200000−2i2i0000000000−2202−2000
χ562-2-222200-2-222-2-2200-22-2i2−i20000i2−i2i2−i2-22−2i2i-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i200002−2−2i2i00−i2i2−i2i2000002i−2i00000000002−20−22000
χ5744444-2-4-44-2-24-24-200-2-2-2002-42-40000004400000000000000022000000000-400-2-20000000000000000200000000000000
χ5844444-2-4-44-2-24-24-200-2-2-2002-42-4000000-4-400000000000000022000000000400220000000000000000-200000000000000
χ594444-24-4-4-244-24-2-200-2-2-200-42-4200004400-2-2-2-20000000000022000000-400000002200000000000000000000000000000
χ604444-24-4-4-244-24-2-200-2-2-200-42-420000-4-4002222000000000002200000040000000-2-200000000000000000000000000000
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
χ6544-4-4440044-4-4-4-44004-4-400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-4440044-4-4-4-44004-4-4000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ6744-4-4-2400-24-42-42-200-222000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ6844-4-4-2400-24-42-42-200-222000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ6944-4-4-2400-24-42-42-200-222000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ7044-4-4-2400-24-42-42-200-222000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ714-44-4444-4-4-4-4-444400-4-4400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ724-44-44-24-4-422-4-24-20022-2002-4-24000000000000000000000002-2000000000000000000000000000000000−2i32i30000000000
χ734-44-44-24-4-422-4-24-20022-2002-4-24000000000000000000000002-20000000000000000000000000000000002i3−2i30000000000
χ744-44-44-2-44-422-4-24-24i−4i22-200-242-400000000000000000−2i2i4i−4i00-22000000000000000000000−2i2i0000000000000000000000
χ754-44-44-2-44-422-4-24-2−4i4i22-200-242-4000000000000000002i−2i−4i4i00-220000000000000000000002i−2i0000000000000000000000
χ764-44-4-244-42-4-424-2-20022-200-424-200000000−2i3−2i32i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ774-44-4-244-42-4-424-2-20022-200-424-2000000002i32i3−2i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ784-44-4-2-2-442222-2-214i−4i-1-1100-2-2222323−23−230000000000000−2i2i−2i2i−2i32i31-100−3−333000000000000000i−ii3−i300000000000000000000
χ794-44-4-2-2-442222-2-214i−4i-1-1100-2-222−23−2323230000000000000−2i2i−2i2i2i3−2i31-10033−3−3000000000000000i−i−i3i300000000000000000000
χ804-44-4-2-2-442222-2-21−4i4i-1-1100-2-2222323−23−2300000000000002i−2i2i−2i2i3−2i31-100−3−333000000000000000−ii−i3i300000000000000000000
χ814-44-4-2-2-442222-2-21−4i4i-1-1100-2-222−23−23232300000000000002i−2i2i−2i−2i32i31-10033−3−3000000000000000−iii3−i300000000000000000000
χ824-4-444-200-42-242-4-2002-22−2i22i20000−2i22i2−2i22i2004i−4i00000000000000000i2−i2i2−i2i2−i2000022−22−2i2i00000000000000000000000−22000000
χ834-4-444-200-42-242-4-2002-22−2i22i20000−2i22i2−2i22i200−4i4i00000000000000000i2−i2i2−i2i2−i20000−22222i−2i000000000000000000000002−2000000
χ844-4-444-200-42-242-4-2002-222i2−2i200002i2−2i22i2−2i2004i−4i00000000000000000−i2i2−i2i2−i2i20000−2222−2i2i000000000000000000000002−2000000
χ854-4-444-200-42-242-4-2002-222i2−2i200002i2−2i22i2−2i200−4i4i00000000000000000−i2i2−i2i2−i2i2000022−222i−2i00000000000000000000000−22000000
χ864-4-44-24002-44-2-42-2002-22−2i22i20000i2−i2i2−i24-400-22-22−2i22i2−2i22i2000000000−2i22i2i2−i2i2−i20000000000i2−i2i2−i20000000000000000000000000
χ874-4-44-24002-44-2-42-2002-22−2i22i20000i2−i2i2−i2-44002-22-22i2−2i22i2−2i2000000000−2i22i2i2−i2i2−i20000000000−i2i2−i2i20000000000000000000000000
χ884-4-44-24002-44-2-42-2002-222i2−2i20000−i2i2−i2i24-400-22-222i2−2i22i2−2i20000000002i2−2i2−i2i2−i2i20000000000−i2i2−i2i20000000000000000000000000
χ894-4-44-24002-44-2-42-2002-222i2−2i20000−i2i2−i2i2-44002-22-2−2i22i2−2i22i20000000002i2−2i2−i2i2−i2i20000000000i2−i2i2−i20000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-88-4008-44-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4-444442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-400-4-444442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-48-84444-4-4200-2-220044-4-400000000000000000000000-22000000000000000000000000000000000000000000000
χ958-8-88-4-40044-4-444200-22-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ968-8-88-4-40044-4-444200-22-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000

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