Finite Group Databasebeta

← Group #11872382

Character table — Group #11872382

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666663446668812121212242424244444121212124121212121212121224242424242422444488121212122424242412121212122466668121212242424441228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-11111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-1-1-111-1-1-1-111111-11-1-11111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1-1-111-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111-1-1-11-1-1-1-11-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1111-1-1111111-111-1-11-11111-11-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-11-1-1-11111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111-1-111-11-1
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-111111-1-1-111-1-111-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-1-1111111-1-1-11-1-1-1-111-1-111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-111-111-1-1-1-111111-1-111-1-1-1-1111-1111111-1-1-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-11111111-1-111-11-1-1-1-1-1111-1-1-1-1111-11
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000200-200-2-2-2-2000000000000000020000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000000-200200-2-2220000000000000000-200002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000200-20022-2-20000000000000000200002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-20020022220000000000000000-20000-2200000
χ2122222-12222-1-1-12-122-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-100022022-1-100-1-1-1-12-1-1-1-120-1-10000-1-1000000000
χ2222222-12222-1-1-12-122-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1000-2-20-2-2110011112-1-1-1-1-2011000011000000000
χ2322222-12222-1-1-12-122-1-1-1-2-22-1-1211112222-1-1-1-1-2-1-11122-1-1-2-21111000220-2-2-1-1001111-2-1-111-20110000-1-1000000000
χ2422222-12222-1-1-12-122-1-1-1-2-22-1-121111-2-2-2-21111-2-1-11122-1-1-2-21111000-2-20221100-1-1-1-1-2-1-11120-1-1000011000000000
χ2522222-12222-1-1-12-1-2-2-1-1-1222-1-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-2022-1-100-1-1-1-1-21111-2011000011000000000
χ2622222-12222-1-1-12-1-2-2-1-1-1222-1-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1000220-2-211001111-2111120-1-10000-1-1000000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-22-1-1211112222-1-1-1-1211-1-1-2-2-1-1-2-21111000-2-20-2-2-1-1001111211-1-120-1-1000011000000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-22-1-121111-2-2-2-21111211-1-1-2-2-1-1-2-21111000220221100-1-1-1-1211-1-1-20110000-1-1000000000
χ292222-1222-1-1222-1-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-12220020000-1-10000-1-1-1-1-10200-1-12-100-1-10000-100
χ302222-1222-1-1222-1-122-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-1-2-2-200-20000110000-1-1-1-1-10-20011-2100110000100
χ312222-1222-1-1222-1-122-1-1-1-2-2-122-1-2-2-2-200000000-222-2-2-1-1-1-11111112220020000-1-100001-1-1110-200-1-1-2-100110000100
χ322222-1222-1-1222-1-122-1-1-1-2-2-122-1-2-2-2-200000000-222-2-2-1-1-1-1111111-2-2-200-200001100001-1-1110200112100-1-10000-100
χ332222-1222-1-1222-1-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-122-200-20000110000111110200-1-1-2100110000-100
χ342222-1222-1-1222-1-1-2-2-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-220020000-1-10000111110-200112-100-1-10000100
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-22211-1-111111122-200-20000110000-111-1-10-200-1-12100-1-10000100
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-1-2-2-2-2000000002-2-22211-1-1111111-2-220020000-1-10000-111-1-1020011-2-100110000-100
χ372-22-2222-22-2-2-22-222i−2i2-2-200-22-2200002i−2i2i−2i2i2i−2i−2i02i−2i002i−2i-220000000002-20002i−2i00000002i−2i00000000002-2000000000
χ382-22-2222-22-2-2-22-222i−2i2-2-200-22-220000−2i2i−2i2i−2i−2i2i2i02i−2i002i−2i-22000000000-22000−2i2i00000002i−2i0000000000-22000000000
χ392-22-2222-22-2-2-22-22−2i2i2-2-200-22-2200002i−2i2i−2i2i2i−2i−2i0−2i2i00−2i2i-22000000000-220002i−2i0000000−2i2i0000000000-22000000000
χ402-22-2222-22-2-2-22-22−2i2i2-2-200-22-220000−2i2i−2i2i−2i−2i2i2i0−2i2i00−2i2i-220000000002-2000−2i2i0000000−2i2i00000000002-2000000000
χ412-22-222-222-2-2-22-22002-2-2002-22-200002i−2i−2i2i2i2i−2i−2i00000002-20000002-2000000−2i2i0000000000000002-2000000002i−2i000
χ422-22-222-222-2-2-22-22002-2-2002-22-200002i−2i−2i2i2i2i−2i−2i00000002-2000000-22000000−2i2i000000000000000-2200000000−2i2i000
χ432-22-222-222-2-2-22-22002-2-2002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-20000002-20000002i−2i0000000000000002-200000000−2i2i000
χ442-22-222-222-2-2-22-22002-2-2002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-2000000-220000002i−2i000000000000000-22000000002i−2i000
χ452-22-22-12-22-211-1-2-12i−2i-11100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0−ii3−32i−2i1-100−i3−i3i3i30002-2000−ii0033−3−30−ii3−300−i3i30000-11000000000
χ462-22-22-12-22-211-1-2-12i−2i-11100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0−ii3−32i−2i1-100−i3−i3i3i3000-22000i−i00−3−3330−ii3−300i3−i300001-1000000000
χ472-22-22-12-22-211-1-2-12i−2i-11100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0−ii−332i−2i1-100i3i3−i3−i30002-2000−ii00−3−3330−ii−3300i3−i30000-11000000000
χ482-22-22-12-22-211-1-2-12i−2i-11100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0−ii−332i−2i1-100i3i3−i3−i3000-22000i−i0033−3−30−ii−3300−i3i300001-1000000000
χ492-22-22-12-22-211-1-2-1−2i2i-11100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0i−i−33−2i2i1-100−i3−i3i3i3000-22000−ii0033−3−30i−i−3300i3−i300001-1000000000
χ502-22-22-12-22-211-1-2-1−2i2i-11100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0i−i−33−2i2i1-100−i3−i3i3i30002-2000i−i00−3−3330i−i−3300−i3i30000-11000000000
χ512-22-22-12-22-211-1-2-1−2i2i-11100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0i−i3−3−2i2i1-100i3i3−i3−i3000-22000−ii00−3−3330i−i3−300−i3i300001-1000000000
χ522-22-22-12-22-211-1-2-1−2i2i-11100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0i−i3−3−2i2i1-100i3i3−i3−i30002-2000i−i0033−3−30i−i3−300i3−i30000-11000000000
χ5344444-2-4-444-2-2-24-200-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-2002-4-4200000000000000000002200000000400-40000220000000000000000-200000000000
χ564444-24-4-4-2-2444-2-200-2-2-2002-4-4200000000000000000002200000000-40040000-2-20000000000000000200000000000
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
χ6144-4-44400-444-4-4-4400-44-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-44400-444-4-4-4400-44-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-200-44-222-4-2002-22−2i22i20000i2−i2i2−i20000−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i20000000000006−66−6000000000000000000000000
χ6444-4-44-200-44-222-4-2002-22−2i22i20000i2−i2i2−i200002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i2000000000000−66−66000000000000000000000000
χ6544-4-44-200-44-222-4-2002-222i2−2i20000−i2i2−i2i20000−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i2000000000000−66−66000000000000000000000000
χ6644-4-44-200-44-222-4-2002-222i2−2i20000−i2i2−i2i200002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i20000000000006−66−6000000000000000000000000
χ6744-4-4-24002-24-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i60000000
χ6844-4-4-24002-24-4-42-2002-22−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i60000000
χ6944-4-4-24002-24-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i60000000
χ7044-4-4-24002-24-4-42-2002-222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i60000000
χ714-44-44-2-444-422-2-4-200-2220042-2-400004i−4i−4i4i−2i−2i2i2i0000000-22000000000000002i−2i000000000000000000000000000000
χ724-44-44-2-444-422-2-4-200-2220042-2-40000−4i4i4i−4i2i2i−2i−2i0000000-2200000000000000−2i2i000000000000000000000000000000
χ734-44-4-244-4-22-4-442-24i−4i-2220024-4-200000000000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000
χ744-44-4-244-4-22-4-442-2−4i4i-2220024-4-20000000000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000
χ754-44-4-24-44-22-4-442-200-22200-2-4420000000000000000000-220000004-400000000000000000000000-220000000000000
χ764-44-4-24-44-22-4-442-200-22200-2-4420000000000000000000-22000000-44000000000000000000000002-20000000000000
χ774-44-4-2-24-4-2222-2214i−4i1-1-1002-22-2−2i3−2i32i32i3000000000−2i2i23−23−2i2i-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ784-44-4-2-24-4-2222-2214i−4i1-1-1002-22-22i32i3−2i3−2i3000000000−2i2i−2323−2i2i-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ794-44-4-2-24-4-2222-221−4i4i1-1-1002-22-2−2i3−2i32i32i30000000002i−2i−23232i−2i-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ804-44-4-2-24-4-2222-221−4i4i1-1-1002-22-22i32i3−2i3−2i30000000002i−2i23−232i−2i-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ814-4-444400-4-4-44-44400-4-4400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-4-4-44-44400-4-44000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-444-200-4-42-224-20022-20000006−6−66000023−23−2323000000000006−6−6600000022−220000−222−2000000000000000000000000
χ844-4-444-200-4-42-224-20022-20000006−6−660000−232323−23000000000006−6−66000000−222200002−2−22000000000000000000000000
χ854-4-444-200-4-42-224-20022-2000000−666−6000023−23−232300000000000−666−6000000−222200002−2−22000000000000000000000000
χ864-4-444-200-4-42-224-20022-2000000−666−60000−232323−2300000000000−666−600000022−220000−222−2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4004-4-4444200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-4444200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4-4-88-4444-442002-2-200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ918-8-88-480044-88-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
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).