Finite Group Databasebeta

← Group #11896004

Character table — Group #11896004

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order122233446666663446668812121212242424244412121212412121212121212122424242424244444488121212122424242412121212122246666812121224244412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-111111-111-1-11111-1-111-1-11-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-111-1-111-11111-11-1-1-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-111-1-11-1111-1-11-1-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11111-1-1111111-111-1-1-11-1-1-111-1111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11111-111-1-1-1-11-1-1-1-11-111111111-1-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-11-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111111-1-11111-1-1-1-11-1-111-1-11-1-1-1-1-1111-1-1111-11-1
χ14111111111111111-1-1111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-111-11-1-1-1111-11111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11111111-1-1111-1111-1-1-11-1-1-1-1-1-111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-111111-1-1-11111-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-200000000-22-200-2-2-2-200000000000000000200002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-200000000-2-2200-2-22200000000000000000-20000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-20022-2-20000000000000000020000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000002-2200222200000000000000000-200002-20000
χ2122222-12222-1-1-12-122-1-1-1222-1-12-1-1-1-122-1-1-1-12-1-1-1-122-1-122-1-1-1-12220022-1-100-1-1-1-12-1-1-1-1200-1-10000-1-100000000
χ2222222-12222-1-1-12-122-1-1-1222-1-12-1-1-1-1-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-200-2-2110011112-1-1-1-1-2001100001100000000
χ2322222-12222-1-1-12-122-1-1-1-2-22-1-12111122-1-1-1-1-2-1-11122-1-1-2-21111-2-2200-2-2-1-1001111-2-1-111200-1-100001100000000
χ2422222-12222-1-1-12-122-1-1-1-2-22-1-121111-2-21111-2-1-11122-1-1-2-2111122-200221100-1-1-1-1-2-1-111-200110000-1-100000000
χ2522222-12222-1-1-12-1-2-2-1-1-1222-1-12-1-1-1-122-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-220022-1-100-1-1-1-1-21111-2001100001100000000
χ2622222-12222-1-1-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-21111-21111-2-2-1-122-1-1-1-122-200-2-211001111-21111200-1-10000-1-100000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-22-1-12111122-1-1-1-1211-1-1-2-2-1-1-2-2111122200-2-2-1-1001111211-1-1-200110000-1-100000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-22-1-121111-2-21111211-1-1-2-2-1-1-2-21111-2-2-200221100-1-1-1-1211-1-1200-1-100001100000000
χ292222-1222-1-1222-1-122-1-1-122-122-1222200000022222-1-1-1-1-1-1-1-1-1-1000220000-1-10000-1-1-1-1-102200-1-12-100-1-100-1000
χ302222-1222-1-1222-1-122-1-1-122-122-1222200000022222-1-1-1-1-1-1-1-1-1-1000-2-20000110000-1-1-1-1-10-2-20011-210011001000
χ312222-1222-1-1222-1-122-1-1-1-2-2-122-1-2-2-2-2000000-222-2-2-1-1-1-1111111000220000-1-100001-1-11102-200-1-1-2-10011001000
χ322222-1222-1-1222-1-122-1-1-1-2-2-122-1-2-2-2-2000000-222-2-2-1-1-1-1111111000-2-200001100001-1-1110-2200112100-1-100-1000
χ332222-1222-1-1222-1-1-2-2-1-1-122-122-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-1000220000-1-10000111110-2-200112-100-1-1001000
χ342222-1222-1-1222-1-1-2-2-1-1-122-122-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-2-200001100001111102200-1-1-21001100-1000
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-2-2-20000002-2-22211-1-1111111000220000-1-10000-111-1-10-220011-2-1001100-1000
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-2-2-20000002-2-22211-1-1111111000-2-20000110000-111-1-102-200-1-12100-1-1001000
χ3722-2-222-222-2-2-22-222i−2i2-2-200-22-22000000000002i−2i002i−2i-220000002-20002i−2i00002i2i−2i−2i02i−2i000000000002-200000000
χ3822-2-222-222-2-2-22-222i−2i2-2-200-22-22000000000002i−2i002i−2i-22000000-22000−2i2i0000−2i−2i2i2i02i−2i00000000000-2200000000
χ3922-2-222-222-2-2-22-22−2i2i2-2-200-22-2200000000000−2i2i00−2i2i-220000002-2000−2i2i0000−2i−2i2i2i0−2i2i000000000002-200000000
χ4022-2-222-222-2-2-22-22−2i2i2-2-200-22-2200000000000−2i2i00−2i2i-22000000-220002i−2i00002i2i−2i−2i0−2i2i00000000000-2200000000
χ4122-2-22-1-222-211-1-2-12i−2i-11100-2-112−i3−i3i3i30033−3−30−ii3−32i−2i1-100−i3−i3i3i32-20002i−2i3−300−i−iii0−ii3−3000−i3i30000-1100000000
χ4222-2-22-1-222-211-1-2-12i−2i-11100-2-112−i3−i3i3i300−3−3330−ii3−32i−2i1-100−i3−i3i3i3-22000−2i2i−3300ii−i−i0−ii3−3000i3−i300001-100000000
χ4322-2-22-1-222-211-1-2-12i−2i-11100-2-112i3i3−i3−i30033−3−30−ii−332i−2i1-100i3i3−i3−i3-22000−2i2i3−300ii−i−i0−ii−33000−i3i300001-100000000
χ4422-2-22-1-222-211-1-2-12i−2i-11100-2-112i3i3−i3−i300−3−3330−ii−332i−2i1-100i3i3−i3−i32-20002i−2i−3300−i−iii0−ii−33000i3−i30000-1100000000
χ4522-2-22-1-222-211-1-2-1−2i2i-11100-2-112−i3−i3i3i30033−3−30i−i−33−2i2i1-100−i3−i3i3i3-220002i−2i3−300−i−iii0i−i−33000i3−i300001-100000000
χ4622-2-22-1-222-211-1-2-1−2i2i-11100-2-112−i3−i3i3i300−3−3330i−i−33−2i2i1-100−i3−i3i3i32-2000−2i2i−3300ii−i−i0i−i−33000−i3i30000-1100000000
χ4722-2-22-1-222-211-1-2-1−2i2i-11100-2-112i3i3−i3−i30033−3−30i−i3−3−2i2i1-100i3i3−i3−i32-2000−2i2i3−300ii−i−i0i−i3−3000i3−i30000-1100000000
χ4822-2-22-1-222-211-1-2-1−2i2i-11100-2-112i3i3−i3−i300−3−3330i−i3−3−2i2i1-100i3i3−i3−i3-220002i−2i−3300−i−iii0i−i3−3000−i3i300001-100000000
χ4944444-2-4-444-2-2-24-200-2-2-200-422-4000044-2-2-2-200000002200000000-4000022000000000000000000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-200-422-40000-4-422220000000220000000040000-2-2000000000000000000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2002-4-4200000000000000000220000000004-400002200000000000000000-20000000000
χ524444-24-4-4-2-2444-2-200-2-2-2002-4-420000000000000000022000000000-440000-2-20000000000000000020000000000
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
χ5744-4-4444-44-4-4-44-44004-4-4004-44-4000000000000000004-4000000000000000000000000000000000000000000000
χ5844-4-44-24-44-422-2-4-200-2220042-2-40000002323−23−230000000-220000000000000−2323000000000000000000000000000000
χ5944-4-44-24-44-422-2-4-200-2220042-2-4000000−23−2323230000000-22000000000000023−23000000000000000000000000000000
χ6044-4-4-244-4-22-4-442-200-22200-2-44200000000000000000-220000000000000000000000000000000−2i32i3000000000000
χ6144-4-4-244-4-22-4-442-200-22200-2-44200000000000000000-2200000000000000000000000000000002i3−2i3000000000000
χ6244-4-4-24-44-22-4-442-24i−4i-2220024-4-2000000000004i−4i00−2i2i2-20000000000000000000000−2i2i000000000000000000000
χ6344-4-4-24-44-22-4-442-2−4i4i-2220024-4-200000000000−4i4i002i−2i2-200000000000000000000002i−2i000000000000000000000
χ6444-4-4-2-2-44-2222-2214i−4i1-1-1002-22-2−2i3−2i32i32i30000000−2i2i23−23−2i2i-1100i3i3−i3−i30000000000000000i−i−330000000000000000000
χ6544-4-4-2-2-44-2222-2214i−4i1-1-1002-22-22i32i3−2i3−2i30000000−2i2i−2323−2i2i-1100−i3−i3i3i30000000000000000i−i3−30000000000000000000
χ6644-4-4-2-2-44-2222-221−4i4i1-1-1002-22-2−2i3−2i32i32i300000002i−2i−23232i−2i-1100i3i3−i3−i30000000000000000−ii3−30000000000000000000
χ6744-4-4-2-2-44-2222-221−4i4i1-1-1002-22-22i32i3−2i3−2i300000002i−2i23−232i−2i-1100−i3−i3i3i30000000000000000−ii−330000000000000000000
χ684-44-44400-444-4-4-4400-44-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ694-44-44400-444-4-4-4400-44-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ704-44-44-200-44-222-4-2002-22−2i22i20000i2−i2i2−i20023−2323−23000000000−2i22i2i2−i2i2−i200000000000i6−i6i6−i6000000000000000000000000
χ714-44-44-200-44-222-4-2002-22−2i22i20000i2−i2i2−i200−2323−2323000000000−2i22i2i2−i2i2−i200000000000−i6i6−i6i6000000000000000000000000
χ724-44-44-200-44-222-4-2002-222i2−2i20000−i2i2−i2i20023−2323−230000000002i2−2i2−i2i2−i2i200000000000−i6i6−i6i6000000000000000000000000
χ734-44-44-200-44-222-4-2002-222i2−2i20000−i2i2−i2i200−2323−23230000000002i2−2i2−i2i2−i2i200000000000i6−i6i6−i6000000000000000000000000
χ744-44-4-24002-24-4-42-2002-22−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i200000000023−2300000000000000000000i6−i6000000
χ754-44-4-24002-24-4-42-2002-22−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000000000−232300000000000000000000−i6i6000000
χ764-44-4-24002-24-4-42-2002-222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i200000000023−2300000000000000000000−i6i6000000
χ774-44-4-24002-24-4-42-2002-222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000000000−232300000000000000000000i6−i6000000
χ784-4-444400-4-4-44-44400-4-4400000000004-44-4-44000000000000000000000000000000000000000000000000000000
χ794-4-444400-4-4-44-44400-4-440000000000-44-444-4000000000000000000000000000000000000000000000000000000
χ804-4-444-200-4-42-224-20022-20000006−6−664-4-222-2000000000006−6−6600000000000−666−6000000000000000000000000
χ814-4-444-200-4-42-224-20022-20000006−6−66-442-2-22000000000006−6−66000000000006−6−66000000000000000000000000
χ824-4-444-200-4-42-224-20022-2000000−666−64-4-222-200000000000−666−6000000000006−6−66000000000000000000000000
χ834-4-444-200-4-42-224-20022-2000000−666−6-442-2-2200000000000−666−600000000000−666−6000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-48-8-4444-442002-2-200-44-44000000000000000002-2000000000000000000000000000000000000000000000
χ868-88-8-4-4004-4-4444200-22-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ878-88-8-4-4004-4-4444200-22-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ888-8-88-480044-88-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-4200-2-2200000026−26−262600000000000000000−666−6000000000000000000000000000000000000000
χ908-8-88-4-400444-44-4200-2-22000000−262626−26000000000000000006−6−66000000000000000000000000000000000000000

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