Finite Group Databasebeta

← Group #11872380

Character table — Group #11872380

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242444446688121224242424121212121222668121212121224242244648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-111111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-111111-11-1-111-1-11111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1-11111111-1-11111-111-1-11-111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111111-1-1-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-1-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1111-1-1-1111111-1-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111111-1-111-11-1-1-1111-1-1-1-111-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-111-111-1-111-1-111111-1-111-1-1-1-11-1111111-1-111-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2002200-2-200000000000000-200000000-22000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200200-2-200-2-2000000000000002000000002-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-20022002200000000000000-2000000002-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-200200-2-2002200000000000000200000000-22000
χ2122222-122-1-1222-1-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-102002-100-1-1-1-10000-100
χ2222222-122-1-1222-1-122-1-1-122-12-1222220000000022222-1-1-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-10-200-210011110000100
χ2322222-122-1-1222-1-122-1-1-1-2-2-12-12-2-2-2-200000000-222-2-2-1-1-1-1111111200222-1-1000000001-1-1110-200-2-100-1-1110000100
χ2422222-122-1-1222-1-122-1-1-1-2-2-12-12-2-2-2-200000000-222-2-2-1-1-1-1111111-200-2-2-211000000001-1-1110200210011-1-10000-100
χ2522222-122-1-1222-1-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12002-2-2-1-100000000111110-2002-10011-1-10000100
χ2622222-122-1-1222-1-1-2-2-1-1-122-12-12222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-200-2221100000000111110200-2100-1-1110000-100
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-2-12-12-2-2-2-2000000002-2-22211-1-11111112002-2-2-1-100000000-111-1-10200-2-10011110000-100
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-2-12-12-2-2-2-2000000002-2-22211-1-1111111-200-2221100000000-111-1-10-2002100-1-1-1-10000100
χ292222-122222-1-1-12-122-1-1-1222-12-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-120-1-100-1-100000000000
χ302222-122222-1-1-12-122-1-1-1222-12-1-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-1-2011001100000000000
χ312222-122222-1-1-12-122-1-1-1-2-22-12-111112222-1-1-1-1-2-1-11122-1-1-2-2111102200000-2-2-1-11111-2-1-111-201100-1-100000000000
χ322222-122222-1-1-12-122-1-1-1-2-22-12-11111-2-2-2-21111-2-1-11122-1-1-2-211110-2-2000002211-1-1-1-1-2-1-11120-1-1001100000000000
χ332222-122222-1-1-12-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-21111-2011001100000000000
χ342222-122222-1-1-12-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-102200000-2-2111111-2111120-1-100-1-100000000000
χ352222-122222-1-1-12-1-2-2-1-1-1-2-22-12-111112222-1-1-1-1211-1-1-2-2-1-1-2-211110-2-200000-2-2-1-11111211-1-120-1-1001100000000000
χ362222-122222-1-1-12-1-2-2-1-1-1-2-22-12-11111-2-2-2-21111211-1-1-2-2-1-1-2-21111022000002211-1-1-1-1211-1-1-201100-1-100000000000
χ3722-2-2222-2-22-2-22-22002-2-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-200000000002i−2i00002i−2i000000000000000002i−2i002-200000
χ3822-2-2222-2-22-2-22-22002-2-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-20000000000−2i2i00002i−2i00000000000000000−2i2i00-2200000
χ3922-2-2222-2-22-2-22-22002-2-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-200000000002i−2i0000−2i2i000000000000000002i−2i00-2200000
χ4022-2-2222-2-22-2-22-22002-2-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-20000000000−2i2i0000−2i2i00000000000000000−2i2i002-200000
χ4122-2-222-22-22-2-22-222i−2i2-2-20022-2-200002i−2i−2i2i2i2i−2i−2i02i−2i002i−2i-2200000002-20000000−2i2i000002i−2i000000002-200000000000
χ4222-2-222-22-22-2-22-222i−2i2-2-20022-2-20000−2i2i2i−2i−2i−2i2i2i02i−2i002i−2i-220000000-2200000002i−2i000002i−2i00000000-2200000000000
χ4322-2-222-22-22-2-22-22−2i2i2-2-20022-2-200002i−2i−2i2i2i2i−2i−2i0−2i2i00−2i2i-220000000-220000000−2i2i00000−2i2i00000000-2200000000000
χ4422-2-222-22-22-2-22-22−2i2i2-2-20022-2-20000−2i2i2i−2i−2i−2i2i2i0−2i2i00−2i2i-2200000002-200000002i−2i00000−2i2i000000002-200000000000
χ4522-2-2-12-22-2211-1-2-12i−2i-111002-1-21−i3−i3i3i32i−2i−2i2i−i−iii0−ii3−32i−2i1-100−i3−i3i3i302-20000000i−i33−3−30−ii3−300−i3i300-1100000000000
χ4622-2-2-12-22-2211-1-2-12i−2i-111002-1-21−i3−i3i3i3−2i2i2i−2iii−i−i0−ii3−32i−2i1-100−i3−i3i3i30-220000000−ii−3−3330−ii3−300i3−i3001-100000000000
χ4722-2-2-12-22-2211-1-2-12i−2i-111002-1-21i3i3−i3−i32i−2i−2i2i−i−iii0−ii−332i−2i1-100i3i3−i3−i302-20000000i−i−3−3330−ii−3300i3−i300-1100000000000
χ4822-2-2-12-22-2211-1-2-12i−2i-111002-1-21i3i3−i3−i3−2i2i2i−2iii−i−i0−ii−332i−2i1-100i3i3−i3−i30-220000000−ii33−3−30−ii−3300−i3i3001-100000000000
χ4922-2-2-12-22-2211-1-2-1−2i2i-111002-1-21−i3−i3i3i32i−2i−2i2i−i−iii0i−i−33−2i2i1-100−i3−i3i3i30-220000000i−i33−3−30i−i−3300i3−i3001-100000000000
χ5022-2-2-12-22-2211-1-2-1−2i2i-111002-1-21−i3−i3i3i3−2i2i2i−2iii−i−i0i−i−33−2i2i1-100−i3−i3i3i302-20000000−ii−3−3330i−i−3300−i3i300-1100000000000
χ5122-2-2-12-22-2211-1-2-1−2i2i-111002-1-21i3i3−i3−i32i−2i−2i2i−i−iii0i−i3−3−2i2i1-100i3i3−i3−i30-220000000i−i−3−3330i−i3−300−i3i3001-100000000000
χ5222-2-2-12-22-2211-1-2-1−2i2i-111002-1-21i3i3−i3−i3−2i2i2i−2iii−i−i0i−i3−3−2i2i1-100i3i3−i3−i302-20000000−ii33−3−30i−i3−300i3−i300-1100000000000
χ5344444-2-4-4-2-2444-2-200-2-2-2002-42-4000000000000000000022000000400-400-2-200000000000000000020000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-2002-42-4000000000000000000022000000-40040022000000000000000000-20000000000000
χ554444-24-4-444-2-2-24-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-444-2-2-24-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44-24-42-2-4-442-200-222002-4-240000000000000000000-2200000000004i−4i00000000000000000000000−2i2i000000000
χ6244-4-44-24-42-2-4-442-200-222002-4-240000000000000000000-220000000000−4i4i000000000000000000000002i−2i000000000
χ6344-4-44-2-442-2-4-442-24i−4i-22200-242-400000000000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000
χ6444-4-44-2-442-2-4-442-2−4i4i-22200-242-40000000000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000
χ6544-4-4-244-4-4422-2-4-200-22200-424-200004i−4i4i−4i−2i−2i2i2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ6644-4-4-244-4-4422-2-4-200-22200-424-20000−4i4i−4i4i2i2i−2i−2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ6744-4-4-2-2-442-222-2214i−4i1-1-100-2-222−2i3−2i32i32i3000000000−2i2i23−23−2i2i-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ6844-4-4-2-2-442-222-2214i−4i1-1-100-2-2222i32i3−2i3−2i3000000000−2i2i−2323−2i2i-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ6944-4-4-2-2-442-222-221−4i4i1-1-100-2-222−2i3−2i32i32i30000000002i−2i−23232i−2i-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ7044-4-4-2-2-442-222-221−4i4i1-1-100-2-2222i32i3−2i3−2i30000000002i−2i23−232i−2i-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ714-44-444004-44-4-4-4400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-444004-44-4-4-4400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-44-44-200-224-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000−2i32i3000000000000000000000006−60000000
χ744-44-44-200-224-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000002i3−2i300000000000000000000000−660000000
χ754-44-44-200-224-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000−2i32i300000000000000000000000−660000000
χ764-44-44-200-224-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000002i3−2i3000000000000000000000006−60000000
χ774-44-4-24004-4-222-4-2002-22−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ784-44-4-24004-4-222-4-2002-22−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ794-44-4-24004-4-222-4-2002-222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ804-44-4-24004-4-222-4-2002-222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ814-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ824-4-444400-4-4-44-44400-4-4400000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ834-4-44-2400-4-42-224-20022-20000006−6−66000023−23−2323000000000006−6−660000000022−2200−222−2000000000000000000000000
χ844-4-44-2400-4-42-224-20022-20000006−6−660000−232323−23000000000006−6−6600000000−2222002−2−22000000000000000000000000
χ854-4-44-2400-4-42-224-20022-2000000−666−6000023−23−232300000000000−666−600000000−2222002−2−22000000000000000000000000
χ864-4-44-2400-4-42-224-20022-2000000−666−60000−232323−2300000000000−666−60000000022−2200−222−2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-48-84-444-442002-2-20044-4-400000000000000000002-20000000000000000000000000000000000000000000000
χ898-88-8-4-400-44-4444200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ908-88-8-4-400-44-4444200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ918-8-888-40044-88-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-44-4200-2-2200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-400444-44-4200-2-22000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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