Finite Group Databasebeta

← Group #11872376

Character table — Group #11872376

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212266121212121212242424242424224444881212121224242424666121224668121212121224242444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-11111-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1-1-111-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-111-1111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-11-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1111-1-1111111-1-1-111-1111-11-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-1-11-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-111-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-11111-1-111-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111-1-111-1-1-11-1-111-1-111-1-111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111-111-1-1-1-11111111-1-1-1-1111-111-1-11111-1-1-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111111-1-11-1-1-1-1111-1-1-1-1-1-1111-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000200-200-2-2-2-2000000000000002000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-200200-2-22200000000000000-20000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000200-20022-2-20000000000000020000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-200200222200000000000000-2000000-2200000
χ2122222-122-1-12-122-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-12220020000-1-10000-1-1-1-1-120-1-12-10000-1-10000-100
χ2222222-122-1-12-122-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-1-2-2-200-20000110000-1-1-1-1-1-2011-210000110000100
χ2322222-122-1-12-122-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-222-1-1-1-11111112220020000-1-10000111-1-1-20-1-1-2-10000110000100
χ2422222-122-1-12-122-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-222-1-1-1-1111111-2-2-200-20000110000111-1-12011210000-1-10000-100
χ2522222-122-1-12-122-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-122-200-200001100001111120-1-1-210000110000-100
χ2622222-122-1-12-122-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-220020000-1-1000011111-20112-10000-1-10000100
χ2722222-122-1-12-122-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000222-2-211-1-111111122-200-20000110000-1-1-111-20-1-1210000-1-10000100
χ2822222-122-1-12-122-1-2-2-1-1-1-2-2-122-1-2-2-2-200000000222-2-211-1-1111111-2-220020000-1-10000-1-1-1112011-2-10000110000-100
χ292222-122222-12-1-1-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-100022022-1-100-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-122222-12-1-1-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1000-2-20-2-2110011112-1-1-1-10-200001111000000000
χ312222-122222-12-1-1-122-1-1-1-2-22-1-1211112222-1-1-1-1-211-1-122-1-1-2-21111000220-2-2-1-1001111-211-1-10-20000-1-111000000000
χ322222-122222-12-1-1-122-1-1-1-2-22-1-121111-2-2-2-21111-211-1-122-1-1-2-21111000-2-20221100-1-1-1-1-211-1-102000011-1-1000000000
χ332222-122222-12-1-1-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-2022-1-100-1-1-1-1-211110-200001111000000000
χ342222-122222-12-1-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1000220-2-211001111-21111020000-1-1-1-1000000000
χ352222-122222-12-1-1-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-1-111-2-2-1-1-2-21111000-2-20-2-2-1-10011112-1-11102000011-1-1000000000
χ362222-122222-12-1-1-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-1-111-2-2-1-1-2-21111000220221100-1-1-1-12-1-1110-20000-1-111000000000
χ372-22-2222-22-2-2-22-2200-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-220000002-20000002i−2i00000000000002-200000000002i−2i000
χ382-22-2222-22-2-2-22-2200-22-200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-22000000-220000002i−2i0000000000000-220000000000−2i2i000
χ392-22-2222-22-2-2-22-2200-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-220000002-2000000−2i2i00000000000002-20000000000−2i2i000
χ402-22-2222-22-2-2-22-2200-22-200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-22000000-22000000−2i2i0000000000000-2200000000002i−2i000
χ412-22-222-222-2-2-22-222i−2i-22-2002-22-200002i−2i−2i2i2i2i−2i−2i0002i−2i2i−2i2-20000000002-2000−2i2i0000000002i−2i0000002-200000000000
χ422-22-222-222-2-2-22-222i−2i-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i0002i−2i2i−2i2-2000000000-220002i−2i0000000002i−2i000000-2200000000000
χ432-22-222-222-2-2-22-22−2i2i-22-2002-22-200002i−2i−2i2i2i2i−2i−2i000−2i2i−2i2i2-2000000000-22000−2i2i000000000−2i2i000000-2200000000000
χ442-22-222-222-2-2-22-22−2i2i-22-2002-22-20000−2i2i2i−2i−2i−2i2i2i000−2i2i−2i2i2-20000000002-20002i−2i000000000−2i2i0000002-200000000000
χ452-22-2-12-222-21-2-11-12i−2i1-110021-1-233−3−32i−2i−2i2i−i−iii0−i3i3−ii2i−2i-110033−3−30002-2000i−i00−i3−i3i3i30−i3i3−ii000000-113−3000000000
χ462-22-2-12-222-21-2-11-12i−2i1-110021-1-233−3−3−2i2i2i−2iii−i−i0−i3i3−ii2i−2i-110033−3−3000-22000−ii00i3i3−i3−i30−i3i3−ii0000001-1−33000000000
χ472-22-2-12-222-21-2-11-12i−2i1-110021-1-2−3−3332i−2i−2i2i−i−iii0i3−i3−ii2i−2i-1100−3−3330002-2000i−i00i3i3−i3−i30i3−i3−ii000000-11−33000000000
χ482-22-2-12-222-21-2-11-12i−2i1-110021-1-2−3−333−2i2i2i−2iii−i−i0i3−i3−ii2i−2i-1100−3−333000-22000−ii00−i3−i3i3i30i3−i3−ii0000001-13−3000000000
χ492-22-2-12-222-21-2-11-1−2i2i1-110021-1-233−3−32i−2i−2i2i−i−iii0i3−i3i−i−2i2i-110033−3−3000-22000i−i00−i3−i3i3i30i3−i3i−i0000001-1−33000000000
χ502-22-2-12-222-21-2-11-1−2i2i1-110021-1-233−3−3−2i2i2i−2iii−i−i0i3−i3i−i−2i2i-110033−3−30002-2000−ii00i3i3−i3−i30i3−i3i−i000000-113−3000000000
χ512-22-2-12-222-21-2-11-1−2i2i1-110021-1-2−3−3332i−2i−2i2i−i−iii0−i3i3i−i−2i2i-1100−3−333000-22000i−i00i3i3−i3−i30−i3i3i−i0000001-13−3000000000
χ522-22-2-12-222-21-2-11-1−2i2i1-110021-1-2−3−333−2i2i2i−2iii−i−i0−i3i3i−i−2i2i-1100−3−3330002-2000−ii00−i3−i3i3i30−i3i3i−i000000-11−33000000000
χ5344444-2-4-4-2-24-244-200-2-2-2002-4-4200000000000000000002200000000400-400002200000000000000-20000000000000
χ5444444-2-4-4-2-24-244-200-2-2-2002-4-4200000000000000000002200000000-40040000-2-20000000000000020000000000000
χ554444-24-4-444-24-2-2-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ564444-24-4-444-24-2-2-200-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
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
χ6144-4-44400-44-4-4-444004-4-4000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000000
χ6244-4-44400-44-4-4-444004-4-40000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000000
χ6344-4-4-2400-442-42-2-200-2220000006−66−60000−2i32i3−2i32i3000000000006−66−6000000−2i22i20000i2−i2i2−i2000000000000000000000000
χ6444-4-4-2400-442-42-2-200-2220000006−66−600002i3−2i32i3−2i3000000000006−66−60000002i2−2i20000−i2i2−i2i2000000000000000000000000
χ6544-4-4-2400-442-42-2-200-222000000−66−660000−2i32i3−2i32i300000000000−66−660000002i2−2i20000−i2i2−i2i2000000000000000000000000
χ6644-4-4-2400-442-42-2-200-222000000−66−6600002i3−2i32i3−2i300000000000−66−66000000−2i22i20000i2−i2i2−i2000000000000000000000000
χ674-44-44-24-4-22-424-4-2002-220024-4-200000000000000000002-20000004-4000000000000000000000-22000000000000000
χ684-44-44-24-4-22-424-4-2002-220024-4-200000000000000000002-2000000-440000000000000000000002-2000000000000000
χ694-44-44-2-44-22-424-4-24i−4i2-2200-2-4420000000000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000
χ704-44-44-2-44-22-424-4-2−4i4i2-2200-2-442000000000000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000
χ714-44-4-244-44-42-4-22-2002-2200-4-22400004i−4i4i−4i−2i−2i2i2i00000002-200000000000000−2i2i000000000000000000000000000000
χ724-44-4-244-44-42-4-22-2002-2200-4-2240000−4i4i−4i4i2i2i−2i−2i00000002-2000000000000002i−2i000000000000000000000000000000
χ734-44-4-2-2-44-2222-2214i−4i-11-100-22-222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i3−i3i−i0000000000000000000
χ744-44-4-2-2-44-2222-2214i−4i-11-100-22-22−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000−i3i3i−i0000000000000000000
χ754-44-4-2-2-44-2222-221−4i4i-11-100-22-222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−i3i3−ii0000000000000000000
χ764-44-4-2-2-44-2222-221−4i4i-11-100-22-22−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000i3−i3−ii0000000000000000000
χ774-4-444400-4-444-4-4400-4-4422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-444400-4-444-4-4400-4-44−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-200224-2-4-4-20022-222−22000022−22−222200000000000000000−22−222−20000000000−2i32i30000000000000000000i6−i60000000
χ804-4-444-200224-2-4-4-20022-222−22000022−22−222200000000000000000−22−222−200000000002i3−2i30000000000000000000−i6i60000000
χ814-4-444-200224-2-4-4-20022-2−22220000−222222−22000000000000000002−22−2−220000000000−2i32i30000000000000000000−i6i60000000
χ824-4-444-200224-2-4-4-20022-2−22220000−222222−22000000000000000002−22−2−2200000000002i3−2i30000000000000000000i6−i60000000
χ834-4-44-2400-4-4-2422-20022-222−220000−222−2000023−23−232300000000022−22−222−20000000000006−6−66000000000000000000000000
χ844-4-44-2400-4-4-2422-20022-222−220000−222−20000−232323−2300000000022−22−222−2000000000000−666−6000000000000000000000000
χ854-4-44-2400-4-4-2422-20022-2−222200002−2−22000023−23−2323000000000−22222−2−22000000000000−666−6000000000000000000000000
χ864-4-44-2400-4-4-2422-20022-2−222200002−2−220000−232323−23000000000−22222−2−220000000000006−6−66000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-4004-4-84-88-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-4444-42002-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ9088-8-8-4-4004-4444-42002-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ918-88-8-4-48-8-4444-44200-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ928-8-88-4-40044-4-444200-2-2242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-40044-4-444200-2-22−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

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