Finite Group Databasebeta

← Group #11872507

Character table — Group #11872507

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242244448812121212242424241212121212446681212121212242424441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-111-1-1-1-1-1-111111-11-1-111-1-11111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-111-11-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-111-1-11-1-1-1-111111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-11-111-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-111-111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-1-11111-1-1-1111-1-1-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-1-1111-1-1-11-1111111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111-1-111111-1-111111-1-111-1111-11-1-1-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111-111-1-1-1-111111-1-111-1-1111-1-1-1111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200-200222200000000000000-2000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-200200-2-2220000000000000020000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000200-20022-2-200000000000000-20000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-22222220000000-2-200000000-200200-2-2-2-2000000000000002000000-2200000
χ2122222-1222-12-1-12-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-12-1-1-1-120-1-100-1-100000000000
χ2222222-1222-12-1-12-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-20000-2-2001111112-1-1-1-1-2011001100000000000
χ2322222-1222-12-1-12-122-1-1-1-2-22-1-1211112222-1-1-1-1-21122-1-1-1-1-2-21111220000-2-200-1-11111-2-1-111-20-1-1001100000000000
χ2422222-1222-12-1-12-122-1-1-1-2-22-1-121111-2-2-2-21111-21122-1-1-1-1-2-21111-2-20000220011-1-1-1-1-2-1-111201100-1-100000000000
χ2522222-1222-12-1-12-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1-2-200002200-1-1-1-1-1-1-21111-2011001100000000000
χ2622222-1222-12-1-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-1220000-2-200111111-2111120-1-100-1-100000000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-12-1-1-2-211-1-1-2-21111-2-20000-2-200-1-11111211-1-1201100-1-100000000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-22-1-121111-2-2-2-211112-1-1-2-211-1-1-2-21111220000220011-1-1-1-1211-1-1-20-1-1001100000000000
χ292222-1222-12-122-1-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-100222200-1-1000000-1-1-1-1-102002-100-1-1-1-10000-100
χ302222-1222-12-122-1-122-1-1-122-122-1222200000000222-1-122-1-1-1-1-1-1-1-100-2-2-2-20011000000-1-1-1-1-10-200-210011110000100
χ312222-1222-12-122-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-2-1-122-1-111111100222200-1-10000001-1-1110-200-2-100-1-1110000100
χ322222-1222-12-122-1-122-1-1-1-2-2-122-1-2-2-2-200000000-2-2-2-1-122-1-111111100-2-2-2-200110000001-1-1110200210011-1-10000-100
χ332222-1222-12-122-1-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1002-2-2200-1-1000000111110-2002-10011-1-10000100
χ342222-1222-12-122-1-1-2-2-1-1-122-122-1222200000000-2-2-211-2-2-1-1-1-1-1-1-1-100-222-20011000000111110200-2100-1-1110000-100
χ352222-1222-12-122-1-1-2-2-1-1-1-2-2-122-1-2-2-2-20000000022211-2-2-1-1111111002-2-2200-1-1000000-111-1-10200-2-10011110000-100
χ362222-1222-12-122-1-1-2-2-1-1-1-2-2-122-1-2-2-2-20000000022211-2-2-1-111111100-222-20011000000-111-1-10-2002100-1-1-1-10000100
χ372-22-2222-2-22-2-2-22200-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-220000000002-2000002i−2i000000000000000002-200002i−2i000
χ382-22-2222-2-22-2-2-22200-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0000000-22000000000-22000002i−2i00000000000000000-220000−2i2i000
χ392-22-2222-2-22-2-2-22200-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-220000000002-200000−2i2i000000000000000002-20000−2i2i000
χ402-22-2222-2-22-2-2-22200-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0000000-22000000000-2200000−2i2i00000000000000000-2200002i−2i000
χ412-22-222-22-22-2-2-2222i−2i-2-22002-22-200002i−2i−2i2i−2i−2i2i2i0002i−2i2i−2i2-20000002-2000000002i−2i000002i−2i00002-2000000000000000
χ422-22-222-22-22-2-2-2222i−2i-2-22002-22-20000−2i2i2i−2i2i2i−2i−2i0002i−2i2i−2i2-2000000-2200000000−2i2i000002i−2i0000-22000000000000000
χ432-22-222-22-22-2-2-222−2i2i-2-22002-22-200002i−2i−2i2i−2i−2i2i2i000−2i2i−2i2i2-2000000-22000000002i−2i00000−2i2i0000-22000000000000000
χ442-22-222-22-22-2-2-222−2i2i-2-22002-22-20000−2i2i2i−2i2i2i−2i−2i000−2i2i−2i2i2-20000002-200000000−2i2i00000−2i2i00002-2000000000000000
χ452-22-22-1-22-2-1-2112-12i−2i11-10021-1-233−3−32i−2i−2i2iii−i−i0−i3i32i−2i−ii-110033−3−32-200000000−ii−i3−i3i3i30−ii−i3i300-11003−300000000000
χ462-22-22-1-22-2-1-2112-12i−2i11-10021-1-233−3−3−2i2i2i−2i−i−iii0−i3i32i−2i−ii-110033−3−3-2200000000i−ii3i3−i3−i30−ii−i3i3001-100−3300000000000
χ472-22-22-1-22-2-1-2112-12i−2i11-10021-1-2−3−3332i−2i−2i2iii−i−i0i3−i32i−2i−ii-1100−3−3332-200000000−iii3i3−i3−i30−iii3−i300-1100−3300000000000
χ482-22-22-1-22-2-1-2112-12i−2i11-10021-1-2−3−333−2i2i2i−2i−i−iii0i3−i32i−2i−ii-1100−3−333-2200000000i−i−i3−i3i3i30−iii3−i3001-1003−300000000000
χ492-22-22-1-22-2-1-2112-1−2i2i11-10021-1-233−3−32i−2i−2i2iii−i−i0i3−i3−2i2ii−i-110033−3−3-2200000000−ii−i3−i3i3i30i−ii3−i3001-100−3300000000000
χ502-22-22-1-22-2-1-2112-1−2i2i11-10021-1-233−3−3−2i2i2i−2i−i−iii0i3−i3−2i2ii−i-110033−3−32-200000000i−ii3i3−i3−i30i−ii3−i300-11003−300000000000
χ512-22-22-1-22-2-1-2112-1−2i2i11-10021-1-2−3−3332i−2i−2i2iii−i−i0−i3i3−2i2ii−i-1100−3−333-2200000000−iii3i3−i3−i30i−i−i3i3001-1003−300000000000
χ522-22-22-1-22-2-1-2112-1−2i2i11-10021-1-2−3−333−2i2i2i−2i−i−iii0−i3i3−2i2ii−i-1100−3−3332-200000000i−i−i3−i3i3i30i−i−i3i300-1100−3300000000000
χ5344444-2-4-44-24-2-24-200-2-2-200-422-4000044-4-422220000000220000000000000000-2-20000000000000000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-200-422-40000-4-444-2-2-2-20000000220000000000000000220000000000000000000000000000
χ554444-24-4-4-24-244-2-200-2-2-2002-4-4200000000000000000002200000000400-400-2-2000000000000000020000000000000
χ564444-24-4-4-24-244-2-200-2-2-2002-4-4200000000000000000002200000000-400400220000000000000000-20000000000000
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
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-444004-4-4-44-44004-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-444004-4-4-44-44004-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-20042-42-2-4-200-22222−220000−22−22000023−2323−2300000000022−22−22−220000000000006−66−6000000000000000000000000
χ6444-4-44-20042-42-2-4-200-22222−220000−22−220000−2323−232300000000022−22−22−22000000000000−66−66000000000000000000000000
χ6544-4-44-20042-42-2-4-200-222−222200002−22−2000023−2323−23000000000−22222−22−2000000000000−66−66000000000000000000000000
χ6644-4-44-20042-42-2-4-200-222−222200002−22−20000−2323−2323000000000−22222−22−20000000000006−66−6000000000000000000000000
χ6744-4-4-2400-2-42-442-200-22222−22000022−2222−2200000000000000000−22−22−2200000000−2i32i3000000000000000000000i6−i60000000
χ6844-4-4-2400-2-42-442-200-22222−22000022−2222−2200000000000000000−22−22−22000000002i3−2i3000000000000000000000−i6i60000000
χ6944-4-4-2400-2-42-442-200-222−22220000−2222−2222000000000000000002−22−22−200000000−2i32i3000000000000000000000−i6i60000000
χ7044-4-4-2400-2-42-442-200-222−22220000−2222−2222000000000000000002−22−22−2000000002i3−2i3000000000000000000000i6−i60000000
χ714-44-44-24-4-4-2-4224-20022-200-4-22400004i−4i4i−4i−2i−2i2i2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ724-44-44-24-4-4-2-4224-20022-200-4-2240000−4i4i−4i4i2i2i−2i−2i00000002-200000000000000002i−2i0000000000000000000000000000
χ734-44-4-244-4242-4-4-2-20022-20024-4-200000000000000000002-20000000004-4000000000000000000000000-22000000000
χ744-44-4-244-4242-4-4-2-20022-20024-4-200000000000000000002-2000000000-440000000000000000000000002-2000000000
χ754-44-4-24-44242-4-4-2-24i−4i22-200-2-442000000000000000−2i2i4i−4i-2200000000000000000000000−2i2i000000000000000000000
χ764-44-4-24-44242-4-4-2-2−4i4i22-200-2-4420000000000000002i−2i−4i4i-22000000000000000000000002i−2i000000000000000000000
χ774-44-4-2-2-442-2222-214i−4i-1-1100-22-222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−33300000000000000000i−ii3−i30000000000000000000
χ784-44-4-2-2-442-2222-214i−4i-1-1100-22-22−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−300000000000000000i−i−i3i30000000000000000000
χ794-44-4-2-2-442-2222-21−4i4i-1-1100-22-222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−33300000000000000000−ii−i3i30000000000000000000
χ804-44-4-2-2-442-2222-21−4i4i-1-1100-22-22−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−300000000000000000−iii3−i30000000000000000000
χ814-4-444400-4-444-4-4400-44-4000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ824-4-444400-4-444-4-4400-44-40000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ834-4-444-200-424-22-4-2002-220000006−6−660000−2i32i32i3−2i3000000000006−6−660000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ844-4-444-200-424-22-4-2002-220000006−6−6600002i3−2i3−2i32i3000000000006−6−66000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ854-4-444-200-424-22-4-2002-22000000−666−60000−2i32i32i3−2i300000000000−666−6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ864-4-444-200-424-22-4-2002-22000000−666−600002i3−2i3−2i32i300000000000−666−60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-400-4444-442002-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-400-4444-442002-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-8-4-48-84-4444-4200-2-22004-44-40000000000000000000-220000000000000000000000000000000000000000000000
χ918-8-88-48004-8-48-84-4004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-4-444200-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-40044-4-444200-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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