Finite Group Databasebeta

← Group #11888684

Character table — Group #11888684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242444121212124121212121212121224242424242422224666688242424241212121212444668121212121224244412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-11-111-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-11-1-111111-1-11-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1111-1-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1111111-111-1-11-1-111-1-1-1111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1111111-1-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-1111-1-1-11-1-1-1-1111-11-1
χ14111111111111111-1-1111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1111-1-1-11111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11111111-1-111-111-1-1-1111-1-1-1-1-1-111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1111-1111111-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2002-222-2-20000000000000000000-200002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-200-22-2-2-2-2000000000000000000020000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002002-222220000000000000000000-20000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000200-22-2-2220000000000000000000200002-20000
χ2122222-122-122-1-12-122-1-1-122-122-1-1-1-1-122-1-1-1-12-1-1-1-122-1-122-1-1-1-12220000-1-122-1-1-1-12-1-1-1-1020-1-10-1-100000000000
χ2222222-122-122-1-12-122-1-1-122-122-1-1-1-1-1-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-2000011-2-211112-1-1-1-10-201101100000000000
χ2322222-122-122-1-12-122-1-1-1-2-2-122-1111122-1-1-1-1-2-1-11122-1-1-2-211112-2-20000-1-1-2-21111-2-1-111020110-1-100000000000
χ2422222-122-122-1-12-122-1-1-1-2-2-122-11111-2-21111-2-1-11122-1-1-2-21111-22200001122-1-1-1-1-2-1-1110-20-1-101100000000000
χ2522222-122-122-1-12-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-21111-2-2-1-122-1-1-1-12-2-20000-1-122-1-1-1-1-211110-201101100000000000
χ2622222-122-122-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-21111-2-2-1-122-1-1-1-1-222000011-2-21111-21111020-1-10-1-100000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-2-122-1111122-1-1-1-1211-1-1-2-2-1-1-2-211112220000-1-1-2-21111211-1-10-20-1-101100000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-2-122-11111-2-21111211-1-1-2-2-1-1-2-21111-2-2-200001122-1-1-1-1211-1-1020110-1-100000000000
χ292222-12222-1-122-1-122-1-1-1222-1-12222200000022222-1-1-1-1-1-1-1-1-1-100022-1-100000000-1-1-1-1-120200200-1-1-1-1-100-1000
χ302222-12222-1-122-1-122-1-1-1222-1-12222200000022222-1-1-1-1-1-1-1-1-1-1000-2-21100000000-1-1-1-1-1-20-200-20011111001000
χ312222-12222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2000000-222-2-2-1-1-1-111111100022-1-1000000001-1-11120-200-200-1-1-111001000
χ322222-12222-1-122-1-122-1-1-1-2-22-1-12-2-2-2-2000000-222-2-2-1-1-1-1111111000-2-211000000001-1-111-20200200111-1-100-1000
χ332222-12222-1-122-1-1-2-2-1-1-1222-1-122222000000-2-2-2-2-211-1-1-1-1-1-1-1-100022-1-10000000011111-20-200200-111-1-1001000
χ342222-12222-1-122-1-1-2-2-1-1-1222-1-122222000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-2-211000000001111120200-2001-1-11100-1000
χ352222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-20000002-2-22211-1-111111100022-1-100000000-111-1-1-20200-200-1111100-1000
χ362222-12222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-20000002-2-22211-1-1111111000-2-21100000000-111-1-120-2002001-1-1-1-1001000
χ372-2-22222-2-22-22-2-222i−2i-2-22002-22-2000000000002i−2i002i−2i2-200000002-20000002i−2i2i2i−2i−2i02i−2i000002-200000000000000
χ382-2-22222-2-22-22-2-222i−2i-2-22002-22-2000000000002i−2i002i−2i2-20000000-22000000−2i2i−2i−2i2i2i02i−2i00000-2200000000000000
χ392-2-22222-2-22-22-2-22−2i2i-2-22002-22-200000000000−2i2i00−2i2i2-200000002-2000000−2i2i−2i−2i2i2i0−2i2i000002-200000000000000
χ402-2-22222-2-22-22-2-22−2i2i-2-22002-22-200000000000−2i2i00−2i2i2-20000000-220000002i−2i2i2i−2i−2i0−2i2i00000-2200000000000000
χ412-2-222-12-212-2-11-2-12i−2i11-100-1-22133−3−300−i3−i3i3i30−ii−i3i32i−2i-110033−3−302-20000−i3i32i−2i−i−iii0−ii−i3i3000-1103−300000000000
χ422-2-222-12-212-2-11-2-12i−2i11-100-1-22133−3−300i3i3−i3−i30−ii−i3i32i−2i-110033−3−30-220000i3−i3−2i2iii−i−i0−ii−i3i30001-10−3300000000000
χ432-2-222-12-212-2-11-2-12i−2i11-100-1-221−3−33300−i3−i3i3i30−iii3−i32i−2i-1100−3−3330-220000−i3i3−2i2iii−i−i0−iii3−i30001-103−300000000000
χ442-2-222-12-212-2-11-2-12i−2i11-100-1-221−3−33300i3i3−i3−i30−iii3−i32i−2i-1100−3−33302-20000i3−i32i−2i−i−iii0−iii3−i3000-110−3300000000000
χ452-2-222-12-212-2-11-2-1−2i2i11-100-1-22133−3−300−i3−i3i3i30i−ii3−i3−2i2i-110033−3−30-220000−i3i32i−2i−i−iii0i−ii3−i30001-10−3300000000000
χ462-2-222-12-212-2-11-2-1−2i2i11-100-1-22133−3−300i3i3−i3−i30i−ii3−i3−2i2i-110033−3−302-20000i3−i3−2i2iii−i−i0i−ii3−i3000-1103−300000000000
χ472-2-222-12-212-2-11-2-1−2i2i11-100-1-221−3−33300−i3−i3i3i30i−i−i3i3−2i2i-1100−3−33302-20000−i3i3−2i2iii−i−i0i−i−i3i3000-110−3300000000000
χ482-2-222-12-212-2-11-2-1−2i2i11-100-1-221−3−33300i3i3−i3−i30i−i−i3i3−2i2i-1100−3−3330-220000i3−i32i−2i−i−iii0i−i−i3i30001-103−300000000000
χ4944444-2-4-4-244-2-24-200-2-2-2002-4-42000044-2-2-2-2000000022000000-400000022000000000000000000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-2002-4-420000-4-422220000000220000004000000-2-2000000000000000000000000000000
χ514444-24-4-44-2-244-2-200-2-2-200-422-400000000000000000220000000004-4-2-200000000000000000000020000000000
χ524444-24-4-44-2-244-2-200-2-2-200-422-40000000000000000022000000000-4422000000000000000000000-20000000000
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
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-4-2-222-2-21122-1-1-1-1000000000000000211-1-10000000000000000000
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
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000422-2-2221122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-444004-4-4-4-44400-44-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ5844-4-444004-4-4-4-44400-44-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ5944-4-44-200-2-4-4224-2002-22−2i22i20000i2−i2i2−i20023−2323−23000000000−2i22i2i2−i2i2−i200000000000i6−i6i6−i6000000000000000000000000
χ6044-4-44-200-2-4-4224-2002-22−2i22i20000i2−i2i2−i200−2323−2323000000000−2i22i2i2−i2i2−i200000000000−i6i6−i6i6000000000000000000000000
χ6144-4-44-200-2-4-4224-2002-222i2−2i20000−i2i2−i2i20023−2323−230000000002i2−2i2−i2i2−i2i200000000000−i6i6−i6i6000000000000000000000000
χ6244-4-44-200-2-4-4224-2002-222i2−2i20000−i2i2−i2i200−2323−23230000000002i2−2i2−i2i2−i2i200000000000i6−i6i6−i6000000000000000000000000
χ6344-4-4-2400422-4-4-2-2002-22−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i200000−2i32i30000000000000000000000006−6000000
χ6444-4-4-2400422-4-4-2-2002-22−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000002i3−2i3000000000000000000000000−66000000
χ6544-4-4-2400422-4-4-2-2002-222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i200000−2i32i3000000000000000000000000−66000000
χ6644-4-4-2400422-4-4-2-2002-222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000002i3−2i30000000000000000000000006−6000000
χ674-44-44400-4-44-44-44004-4-400000000004i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ684-44-44400-4-44-44-44004-4-40000000000−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ694-44-44-2002-442-2-4-200-222000000i6−i6−i6i64i−4i−2i2i2i−2i00000000000i6−i6−i6i6000000000006−6−66000000000000000000000000
χ704-44-44-2002-442-2-4-200-222000000i6−i6−i6i6−4i4i2i−2i−2i2i00000000000i6−i6−i6i600000000000−666−6000000000000000000000000
χ714-44-44-2002-442-2-4-200-222000000−i6i6i6−i64i−4i−2i2i2i−2i00000000000−i6i6i6−i600000000000−666−6000000000000000000000000
χ724-44-44-2002-442-2-4-200-222000000−i6i6i6−i6−4i4i2i−2i−2i2i00000000000−i6i6i6−i6000000000006−6−66000000000000000000000000
χ734-4-4444-44-44-44-4-4400-4-4400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ744-4-444-2-4424-4-22-4-20022-20024-4-2000000−2i3−2i32i32i300000002-200000000000002i3−2i3000000000000000000000000000000
χ754-4-444-2-4424-4-22-4-20022-20024-4-20000002i32i3−2i3−2i300000002-20000000000000−2i32i3000000000000000000000000000000
χ764-4-44-244-4-4-224-42-24i−4i22-20042-2-4000000000004i−4i00−2i2i-220000000000000000000000−2i2i000000000000000000000
χ774-4-44-244-4-4-224-42-2−4i4i22-20042-2-400000000000−4i4i002i−2i-2200000000000000000000002i−2i000000000000000000000
χ784-4-44-24-44-4-224-42-20022-200-4-224000000000000000002-20000000000000000000000000000000000023−2300000000
χ794-4-44-24-44-4-224-42-20022-200-4-224000000000000000002-200000000000000000000000000000000000−232300000000
χ804-4-44-2-24-42-22-22214i−4i-1-1100-22-222323−23−230000000−2i2i−2i32i3−2i2i1-100−3−3330000000000000000i−ii3−i30000000000000000000
χ814-4-44-2-24-42-22-22214i−4i-1-1100-22-22−23−2323230000000−2i2i2i3−2i3−2i2i1-10033−3−30000000000000000i−i−i3i30000000000000000000
χ824-4-44-2-24-42-22-2221−4i4i-1-1100-22-222323−23−2300000002i−2i2i3−2i32i−2i1-100−3−3330000000000000000−ii−i3i30000000000000000000
χ834-4-44-2-24-42-22-2221−4i4i-1-1100-22-22−23−23232300000002i−2i−2i32i32i−2i1-10033−3−30000000000000000−iii3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44444-4200-22-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ8688-8-8-4-400-44444-4200-22-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ878-88-8-4800-84-4-884-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-44-442002-2-20000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ898-88-8-4-40044-44-442002-2-2000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ908-8-88-4-4-884-44-444200-2-22004-44-400000000000000000-22000000000000000000000000000000000000000000000

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