Finite Group Databasebeta

← Group #11888682

Character table — Group #11888682

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242444121212124121212121212121224242424242422244668812122424242412121212122446666812121224242412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-11111111-111-1-111-1-111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-111-1-11-1111-1-1-1111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-11111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-111111111-111-1-11-1-11111-11-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1-11-1-1-1111-1-1-1111111-1-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-11-1-111-11-1-1-111-11-1-1-1-1111-11-1
χ14111111111111111-1-1111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11-1-1111-1-111111-1-1-111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111111-1-111-111-1-1-1-1-1111-1-1-1-111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1111-1-11-1111111-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2002-2-2-2002200000000000000000-200002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-200-22-2-200-2-20000000000000000020000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002002-222002200000000000000000-20000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000200-222200-2-200000000000000000200002-20000
χ2122222-122-122-1-12-122-1-1-122-12-12-1-1-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-122200-1-12200-1-1-1-12-1-1-1-100200-1-100-1-100000000
χ2222222-122-122-1-12-122-1-1-122-12-12-1-1-1-1-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-20011-2-20011112-1-1-1-100-20011001100000000
χ2322222-122-122-1-12-122-1-1-1-2-2-12-12111122-1-1-1-1-2-1-12211-1-1-2-211112-2-200-1-1-2-2001111-2-1-111002001100-1-100000000
χ2422222-122-122-1-12-122-1-1-1-2-2-12-121111-2-21111-2-1-12211-1-1-2-21111-22200112200-1-1-1-1-2-1-11100-200-1-1001100000000
χ2522222-122-122-1-12-1-2-2-1-1-122-12-12-1-1-1-122-1-1-1-1-211-2-211-1-122-1-1-1-12-2-200-1-12200-1-1-1-1-2111100-20011001100000000
χ2622222-122-122-1-12-1-2-2-1-1-122-12-12-1-1-1-1-2-21111-211-2-211-1-122-1-1-1-1-2220011-2-2001111-2111100200-1-100-1-100000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-12-12111122-1-1-1-1211-2-2-1-1-1-1-2-2111122200-1-1-2-2001111211-1-100-200-1-1001100000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-12-121111-2-21111211-2-2-1-1-1-1-2-21111-2-2-200112200-1-1-1-1211-1-1002001100-1-100000000
χ292222-12222-1-122-1-122-1-1-1222-12-12222000000222-1-122-1-1-1-1-1-1-1-1000220000-1-10000-1-1-1-1-1220-1-1002-100-1-100-1000
χ302222-12222-1-122-1-122-1-1-1222-12-12222000000222-1-122-1-1-1-1-1-1-1-1000-2-20000110000-1-1-1-1-1-2-201100-210011001000
χ312222-12222-1-122-1-122-1-1-1-2-22-12-1-2-2-2-2000000-222-1-1-2-2-1-1111111000220000-1-100001-1-1112-20-1-100-2-10011001000
χ322222-12222-1-122-1-122-1-1-1-2-22-12-1-2-2-2-2000000-222-1-1-2-2-1-1111111000-2-200001100001-1-111-22011002100-1-100-1000
χ332222-12222-1-122-1-1-2-2-1-1-1222-12-12222000000-2-2-211-2-2-1-1-1-1-1-1-1-1000220000-1-1000011111-2-2011002-100-1-1001000
χ342222-12222-1-122-1-1-2-2-1-1-1222-12-12222000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-2-2000011000011111220-1-100-21001100-1000
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-20000002-2-21122-1-1111111000220000-1-10000-111-1-1-2201100-2-1001100-1000
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-20000002-2-21122-1-1111111000-2-20000110000-111-1-12-20-1-1002100-1-1001000
χ3722-2-222-22-2-2-22-2222i−2i-2-220022-2-2000000000002i−2i2i−2i002-200000002-200002i−2i002i2i−2i−2i02i−2i00000002-2000000000000
χ3822-2-222-22-2-2-22-2222i−2i-2-220022-2-2000000000002i−2i2i−2i002-20000000-220000−2i2i00−2i−2i2i2i02i−2i0000000-22000000000000
χ3922-2-222-22-2-2-22-222−2i2i-2-220022-2-200000000000−2i2i−2i2i002-200000002-20000−2i2i00−2i−2i2i2i0−2i2i00000002-2000000000000
χ4022-2-222-22-2-2-22-222−2i2i-2-220022-2-200000000000−2i2i−2i2i002-20000000-2200002i−2i002i2i−2i−2i0−2i2i0000000-22000000000000
χ4122-2-22-1-221-2-2-112-12i−2i11-100-121-233−3−300−i3−i3i3i30−ii2i−2i−i3i3-110033−3−302-200−i3i32i−2i00−i−iii0−ii−i3i300000-11003−300000000
χ4222-2-22-1-221-2-2-112-12i−2i11-100-121-233−3−300i3i3−i3−i30−ii2i−2i−i3i3-110033−3−30-2200i3−i3−2i2i00ii−i−i0−ii−i3i3000001-100−3300000000
χ4322-2-22-1-221-2-2-112-12i−2i11-100-121-2−3−33300−i3−i3i3i30−ii2i−2ii3−i3-1100−3−3330-2200−i3i3−2i2i00ii−i−i0−iii3−i3000001-1003−300000000
χ4422-2-22-1-221-2-2-112-12i−2i11-100-121-2−3−33300i3i3−i3−i30−ii2i−2ii3−i3-1100−3−33302-200i3−i32i−2i00−i−iii0−iii3−i300000-1100−3300000000
χ4522-2-22-1-221-2-2-112-1−2i2i11-100-121-233−3−300−i3−i3i3i30i−i−2i2ii3−i3-110033−3−30-2200−i3i32i−2i00−i−iii0i−ii3−i3000001-100−3300000000
χ4622-2-22-1-221-2-2-112-1−2i2i11-100-121-233−3−300i3i3−i3−i30i−i−2i2ii3−i3-110033−3−302-200i3−i3−2i2i00ii−i−i0i−ii3−i300000-11003−300000000
χ4722-2-22-1-221-2-2-112-1−2i2i11-100-121-2−3−33300−i3−i3i3i30i−i−2i2i−i3i3-1100−3−33302-200−i3i3−2i2i00ii−i−i0i−i−i3i300000-1100−3300000000
χ4822-2-22-1-221-2-2-112-1−2i2i11-100-121-2−3−33300i3i3−i3−i30i−i−2i2i−i3i3-1100−3−3330-2200i3−i32i−2i00−i−iii0i−i−i3i3000001-1003−300000000
χ4944444-2-4-4-244-2-24-200-2-2-2002-42-4000044-2-2-2-2000000022000000-400002200000000000000000000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-2002-42-40000-4-4222200000002200000040000-2-200000000000000000000000000000000
χ514444-24-4-44-2-244-2-200-2-2-200-42-4200000000000000000220000000004-40000-2-20000000000000000020000000000
χ524444-24-4-44-2-244-2-200-2-2-200-42-420000000000000000022000000000-4400002200000000000000000-20000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000211-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-4444-4-4-4-44-44400-4-4400-4-44400000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-24-42-4-4-224-20022-2002-4-24000000−2i3−2i32i32i300000002-2000000000002i3−2i300000000000000000000000000000000
χ5944-4-44-24-42-4-4-224-20022-2002-4-240000002i32i3−2i3−2i300000002-200000000000−2i32i300000000000000000000000000000000
χ6044-4-4-244-4-4224-4-2-20022-200-424-2000000000000000002-200000000000000000000000000000−2i32i300000000000000
χ6144-4-4-244-4-4224-4-2-20022-200-424-2000000000000000002-2000000000000000000000000000002i3−2i300000000000000
χ6244-4-4-24-44-4224-4-2-24i−4i22-2004-2-42000000000004i−4i−2i2i00-220000000000000000000000−2i2i000000000000000000000
χ6344-4-4-24-44-4224-4-2-2−4i4i22-2004-2-4200000000000−4i4i2i−2i00-2200000000000000000000002i−2i000000000000000000000
χ6444-4-4-2-2-44222-22-214i−4i-1-1100-2-2222323−23−230000000−2i2i−2i2i−2i32i31-100−3−3330000000000000000i−ii3−i30000000000000000000
χ6544-4-4-2-2-44222-22-214i−4i-1-1100-2-222−23−2323230000000−2i2i−2i2i2i3−2i31-10033−3−30000000000000000i−i−i3i30000000000000000000
χ6644-4-4-2-2-44222-22-21−4i4i-1-1100-2-2222323−23−2300000002i−2i2i−2i2i3−2i31-100−3−3330000000000000000−ii−i3i30000000000000000000
χ6744-4-4-2-2-44222-22-21−4i4i-1-1100-2-222−23−23232300000002i−2i2i−2i−2i32i31-10033−3−30000000000000000−iii3−i30000000000000000000
χ684-44-444004-44-4-4-4400-44-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ694-44-444004-44-4-4-4400-44-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ704-44-44-200-2-4422-4-2002-22−2i22i20000i2−i2i2−i20023−2323−23000000000−2i22i2i2−i2i2−i200000000000i6−i6i6−i6000000000000000000000000
χ714-44-44-200-2-4422-4-2002-22−2i22i20000i2−i2i2−i200−2323−2323000000000−2i22i2i2−i2i2−i200000000000−i6i6−i6i6000000000000000000000000
χ724-44-44-200-2-4422-4-2002-222i2−2i20000−i2i2−i2i20023−2323−230000000002i2−2i2−i2i2−i2i200000000000−i6i6−i6i6000000000000000000000000
χ734-44-44-200-2-4422-4-2002-222i2−2i20000−i2i2−i2i200−2323−23230000000002i2−2i2−i2i2−i2i200000000000i6−i6i6−i6000000000000000000000000
χ744-44-4-240042-2-4-42-2002-22−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000000000−2i32i3000000000000000000006−6000000
χ754-44-4-240042-2-4-42-2002-22−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i20000000002i3−2i300000000000000000000−66000000
χ764-44-4-240042-2-4-42-2002-222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000000000−2i32i300000000000000000000−66000000
χ774-44-4-240042-2-4-42-2002-222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i20000000002i3−2i3000000000000000000006−6000000
χ784-4-444400-44-4-44-44004-4-400000000004i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ794-4-444400-44-4-44-44004-4-40000000000−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ804-4-444-20024-42-2-4-200-222000000i6−i6−i6i64i−4i−2i2i2i−2i00000000000i6−i6−i6i6000000000006−6−66000000000000000000000000
χ814-4-444-20024-42-2-4-200-222000000i6−i6−i6i6−4i4i2i−2i−2i2i00000000000i6−i6−i6i600000000000−666−6000000000000000000000000
χ824-4-444-20024-42-2-4-200-222000000−i6i6i6−i64i−4i−2i2i2i−2i00000000000−i6i6i6−i600000000000−666−6000000000000000000000000
χ834-4-444-20024-42-2-4-200-222000000−i6i6i6−i6−4i4i2i−2i−2i2i00000000000−i6i6i6−i6000000000006−6−66000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-48-8444-44-4200-2-220044-4-400000000000000000-22000000000000000000000000000000000000000000000
χ868-88-8-4-400-44-4444200-22-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ878-88-8-4-400-44-4444200-22-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ888-8-88-4800-8-44-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442002-2-20000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442002-2-2000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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