Finite Group Databasebeta

← Group #11872600

Character table — Group #11872600

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212122661212121212122424242424242444446688121224242424666121244812121212121212242444441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-111-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111111-1-11111-1-1-1111-1-1-1-111111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111111-1-111-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1111-1-111-1-1-1111-1-1-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-11-1-111-11111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-11-111-1-11-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-111-1-111-1-11111111-1-1-1-1111-1-1-1111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000200-2002200220000000000000000-20000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-200200-2-200220000000000000000200002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000200-2002200-2-20000000000000000-200002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-2000000-200200-2-200-2-2000000000000000020000-2200000
χ2122222-122-12-122-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-10220000-1-1-1-1-10000-100
χ2222222-122-12-122-1-122-1-1-1222-12-122220000000022222-1-1-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-10-2-20000111110000100
χ2322222-122-12-122-1-122-1-1-1-2-22-12-1-2-2-2-200000000-2-2-222-1-1-1-1111111200222-1-100000000111-1-10-2-20000-1-1-1110000100
χ2422222-122-12-122-1-122-1-1-1-2-22-12-1-2-2-2-200000000-2-2-222-1-1-1-1111111-200-2-2-21100000000111-1-10220000111-1-10000-100
χ2522222-122-12-122-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-12002-2-2-1-100000000111110-220000-111-1-10000100
χ2622222-122-12-122-1-1-2-2-1-1-1222-12-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-200-22211000000001111102-200001-1-1110000-100
χ2722222-122-12-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-200000000222-2-211-1-11111112002-2-2-1-100000000-1-1-11102-20000-111110000-100
χ2822222-122-12-122-1-1-2-2-1-1-1-2-22-12-1-2-2-2-200000000222-2-211-1-1111111-200-2221100000000-1-1-1110-2200001-1-1-1-10000100
χ292222-12222-12-1-12-122-1-1-122-12-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-1200-1-1-1-1000000000000
χ302222-12222-12-1-12-122-1-1-122-12-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-1-2001111000000000000
χ312222-12222-12-1-12-122-1-1-1-2-2-12-1211112222-1-1-1-1-211-1-122-1-1-2-2111102200000-2-2-1-11111-211-1-1-200-1-111000000000000
χ322222-12222-12-1-12-122-1-1-1-2-2-12-121111-2-2-2-21111-211-1-122-1-1-2-211110-2-2000002211-1-1-1-1-211-1-120011-1-1000000000000
χ332222-12222-12-1-12-1-2-2-1-1-122-12-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-21111-2001111000000000000
χ342222-12222-12-1-12-1-2-2-1-1-122-12-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-102200000-2-2111111-21111200-1-1-1-1000000000000
χ352222-12222-12-1-12-1-2-2-1-1-1-2-2-12-1211112222-1-1-1-12-1-111-2-2-1-1-2-211110-2-200000-2-2-1-111112-1-11120011-1-1000000000000
χ362222-12222-12-1-12-1-2-2-1-1-1-2-2-12-121111-2-2-2-211112-1-111-2-2-1-1-2-21111022000002211-1-1-1-12-1-111-200-1-111000000000000
χ372-22-2222-2-22-2-2-22200-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-200000000002-200002i−2i000000000000000002-200002i−2i000
χ382-22-2222-2-22-2-2-22200-2-2200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-20000000000-2200002i−2i00000000000000000-220000−2i2i000
χ392-22-2222-2-22-2-2-22200-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-200000000002-20000−2i2i000000000000000002-20000−2i2i000
χ402-22-2222-2-22-2-2-22200-2-2200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-20000000000-220000−2i2i00000000000000000-2200002i−2i000
χ412-22-222-22-22-2-2-2222-2-2-220022-2-200002i−2i−2i2i−2i−2i2i2i0002-22-2-2200000002i−2i00000002i−2i00000002-20002i−2i00000000000000
χ422-22-222-22-22-2-2-2222-2-2-220022-2-20000−2i2i2i−2i2i2i−2i−2i0002-22-2-220000000−2i2i0000000−2i2i00000002-2000−2i2i00000000000000
χ432-22-222-22-22-2-2-222-22-2-220022-2-200002i−2i−2i2i−2i−2i2i2i000-22-22-220000000−2i2i00000002i−2i0000000-22000−2i2i00000000000000
χ442-22-222-22-22-2-2-222-22-2-220022-2-20000−2i2i2i−2i2i2i−2i−2i000-22-22-2200000002i−2i0000000−2i2i0000000-220002i−2i00000000000000
χ452-22-2-12-22-2-1-2112-12-211-100-121-2−i3−i3i3i32i−2i−2i2iii−i−i0−i3i3-112-21-100−i3−i3i3i302i−2i0000000−ii33−3−30−i3i3-11000−ii3−3000000000000
χ462-22-2-12-22-2-1-2112-12-211-100-121-2−i3−i3i3i3−2i2i2i−2i−i−iii0−i3i3-112-21-100−i3−i3i3i30−2i2i0000000i−i−3−3330−i3i3-11000i−i−33000000000000
χ472-22-2-12-22-2-1-2112-12-211-100-121-2i3i3−i3−i32i−2i−2i2iii−i−i0i3−i3-112-21-100i3i3−i3−i302i−2i0000000−ii−3−3330i3−i3-11000−ii−33000000000000
χ482-22-2-12-22-2-1-2112-12-211-100-121-2i3i3−i3−i3−2i2i2i−2i−i−iii0i3−i3-112-21-100i3i3−i3−i30−2i2i0000000i−i33−3−30i3−i3-11000i−i3−3000000000000
χ492-22-2-12-22-2-1-2112-1-2211-100-121-2−i3−i3i3i32i−2i−2i2iii−i−i0i3−i31-1-221-100−i3−i3i3i30−2i2i0000000−ii33−3−30i3−i31-1000i−i−33000000000000
χ502-22-2-12-22-2-1-2112-1-2211-100-121-2−i3−i3i3i3−2i2i2i−2i−i−iii0i3−i31-1-221-100−i3−i3i3i302i−2i0000000i−i−3−3330i3−i31-1000−ii3−3000000000000
χ512-22-2-12-22-2-1-2112-1-2211-100-121-2i3i3−i3−i32i−2i−2i2iii−i−i0−i3i31-1-221-100i3i3−i3−i30−2i2i0000000−ii−3−3330−i3i31-1000i−i3−3000000000000
χ522-22-2-12-22-2-1-2112-1-2211-100-121-2i3i3−i3−i3−2i2i2i−2i−i−iii0−i3i31-1-221-100i3i3−i3−i302i−2i0000000i−i33−3−30−i3i31-1000−ii−33000000000000
χ5344444-2-4-4-24-244-2-200-2-2-200-42-42000000000000000000022000000400-400-2-200000000000000000000200000000000
χ5444444-2-4-4-24-244-2-200-2-2-200-42-42000000000000000000022000000-4004002200000000000000000000-200000000000
χ554444-24-4-44-24-2-24-200-2-2-2002-42-4000044-4-422220000000220000000000000000-2-20000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-2002-42-40000-4-444-2-2-2-20000000220000000000000000220000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000002-1-1110000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-211-1-10000000000000000000
χ6144-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ6244-4-444004-4-44-4-44004-4-400000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ6344-4-4-240042-4-22-4-200-2220000006−66−6000023−2323−23000000000006−66−60000000022−2200−22−22000000000000000000000000
χ6444-4-4-240042-4-22-4-200-2220000006−66−60000−2323−2323000000000006−66−600000000−2222002−22−2000000000000000000000000
χ6544-4-4-240042-4-22-4-200-222000000−66−66000023−2323−2300000000000−66−6600000000−2222002−22−2000000000000000000000000
χ6644-4-4-240042-4-22-4-200-222000000−66−660000−2323−232300000000000−66−660000000022−2200−22−22000000000000000000000000
χ674-44-44-24-4242-4-4-2-20022-200-424-20000000000000000000-2200000000004-400000000000000000000000-22000000000
χ684-44-44-24-4242-4-4-2-20022-200-424-20000000000000000000-220000000000-44000000000000000000000002-2000000000
χ694-44-44-2-44242-4-4-2-24-422-2004-2-420000000000000004-4-222-20000000000000000000000000-220000000000000000000
χ704-44-44-2-44242-4-4-2-2-4422-2004-2-42000000000000000-442-22-200000000000000000000000002-20000000000000000000
χ714-44-4-244-4-4-2-4224-20022-2002-4-2400004i−4i4i−4i−2i−2i2i2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ724-44-4-244-4-4-2-4224-20022-2002-4-240000−4i4i−4i4i2i2i−2i−2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ734-44-4-2-2-442-2222-214-4-1-1100-2-222−2i3−2i32i32i3000000000−2i32i3-22-22-1100i3i3−i3−i300000000000000000i3−i31-10000000000000000000
χ744-44-4-2-2-442-2222-214-4-1-1100-2-2222i32i3−2i3−2i30000000002i3−2i3-22-22-1100−i3−i3i3i300000000000000000−i3i31-10000000000000000000
χ754-44-4-2-2-442-2222-21-44-1-1100-2-222−2i3−2i32i32i30000000002i3−2i32-22-2-1100i3i3−i3−i300000000000000000−i3i3-110000000000000000000
χ764-44-4-2-2-442-2222-21-44-1-1100-2-2222i32i3−2i3−2i3000000000−2i32i32-22-2-1100−i3−i3i3i300000000000000000i3−i3-110000000000000000000
χ774-4-444400-4-44-44-4400-44-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ784-4-444400-4-44-44-4400-44-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ794-4-444-2002-4-2-442-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000−2i32i3000000000000000000000006−60000000
χ804-4-444-2002-4-2-442-2002-22−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000002i3−2i300000000000000000000000−660000000
χ814-4-444-2002-4-2-442-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000−2i32i300000000000000000000000−660000000
χ824-4-444-2002-4-2-442-2002-222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000002i3−2i3000000000000000000000006−60000000
χ834-4-44-2400-4242-2-4-2002-22−2i22i20000i2−i2−i2i20000−2i32i32i3−2i3000000000−2i22i2i2−i2−i2i2000000000000−666−6000000000000000000000000
χ844-4-44-2400-4242-2-4-2002-22−2i22i20000i2−i2−i2i200002i3−2i3−2i32i3000000000−2i22i2i2−i2−i2i20000000000006−6−66000000000000000000000000
χ854-4-44-2400-4242-2-4-2002-222i2−2i20000−i2i2i2−i20000−2i32i32i3−2i30000000002i2−2i2−i2i2i2−i20000000000006−6−66000000000000000000000000
χ864-4-44-2400-4242-2-4-2002-222i2−2i20000−i2i2i2−i200002i3−2i3−2i32i30000000002i2−2i2−i2i2i2−i2000000000000−666−6000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-400-4-848-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-4442002-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-400-444-4442002-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-48-84-4444-4200-2-220044-4-400000000000000000002-20000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-44200-22-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44200-22-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000

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