Finite Group Databasebeta

← Group #11790538

Character table — Group #11790538

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888668812122424242424242424242424242424242444448824242424242424248888121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-11-11-11-111-1-1111111-1-1-1-1-1-1ii−i−i1-11111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1ii−i−ii−i
χ1011-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-11-11-11-111-1-1111111-1-1-1-1-1-1−i−iii1-11111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1−i−iii−ii
χ1111-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-11-1-111-1-1-111-1-1-1-1-1-1111111ii−i−i1-11111-1-1-1-1−ii-11ii−i−i−i−iii-1-111ii−i−i−ii
χ1211-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-1111111-1-11-1-111-1-1-111-1-1-1-1-1-1111111−i−iii1-11111-1-1-1-1i−i-11−i−iiiii−i−i-1-111−i−iiii−i
χ1311-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-11111-1-1111-11-11-111-1-1111111-1-1-1-1-1-1ii−i−i-11-1-1-1-11111i−i-11ii−i−iii−i−i-1-111−i−iii−ii
χ1411-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-11111-1-1111-11-11-111-1-1111111-1-1-1-1-1-1−i−iii-11-1-1-1-11111−ii-11−i−iii−i−iii-1-111ii−i−ii−i
χ1511-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-11111-1-1111-1-111-1-1-111-1-1-1-1-1-1111111ii−i−i-11-1-1-1-11111−ii1-1ii−i−i−i−iii11-1-1−i−iiii−i
χ1611-1-11-1-111-111-1-111-1-1-1-111111-1-1-1-11-11-1-1-1-11111-1-1111-1-111-1-1-111-1-1-1-1-1-1111111−i−iii-11-1-1-1-11111i−i1-1−i−iiiii−i−i11-1-1ii−i−i−ii
χ1722222222-1222222-122-1-122-12-12-1-1-1-1-1-12-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-1-1-1-1-10000000000
χ1822222222-1222222-122-1-122-12-12-1-1-1-1-1-12-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111111110000000000
χ1922222222-1222222-122-1-122-12-12-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-200-1-1-1-111110000000000
χ2022222222-1222222-122-1-122-12-12-1-1-1-1-1-12-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000000000022001111-1-1-1-10000000000
χ212222222-12222-1-1-12-1-122-1-1-1-12-12-1-1-122-12-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1002200000000-1-1-1-1000000
χ222222222-12222-1-1-12-1-122-1-1-1-12-12-1-1-122-12-1-12-1-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000000001111000000
χ232222222-12222-1-1-12-1-122-1-1-1-12-12-1-1-122-12-1-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000000001111000000
χ242222222-12222-1-1-12-1-122-1-1-1-12-12-1-1-122-12-1-12-1-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111002200000000-1-1-1-1000000
χ2522222-2-2222-2-2-2-2222222-2-2222-2-2-2-22-2-22222-2-2-2-200002-200-2200000000000000002i−2i2i−2i000000000000002i−2i2i−2i00000000000000
χ2622222-2-2222-2-2-2-2222222-2-2222-2-2-2-22-2-22222-2-2-2-200002-200-220000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000
χ2722222-2-22-12-2-2-2-22-122-1-1-2-2-12-1-2111-1112-1-1-1111-20000-11001-100003−333−3−33−333−3−32i−2i2i−2i00000000000000−ii−ii−i3i3−i3i30000000000
χ2822222-2-22-12-2-2-2-22-122-1-1-2-2-12-1-2111-1112-1-1-1111-20000-11001-100003−333−3−33−333−3−3−2i2i−2i2i00000000000000i−ii−ii3−i3i3−i30000000000
χ2922222-2-22-12-2-2-2-22-122-1-1-2-2-12-1-2111-1112-1-1-1111-20000-11001-10000−33−3−333−33−3−3332i−2i2i−2i00000000000000−ii−iii3−i3i3−i30000000000
χ3022222-2-22-12-2-2-2-22-122-1-1-2-2-12-1-2111-1112-1-1-1111-20000-11001-10000−33−3−333−33−3−333−2i2i−2i2i00000000000000i−ii−i−i3i3−i3i30000000000
χ312222-22-222-2-2222222222222-2-2-22222-2-2-2-222222-20000-2-200-2-200000000000000000000000000000000000000000000002-22-200
χ322222-22-222-2-2222222222222-2-2-22222-2-2-2-222222-20000-2-200-2-20000000000000000000000000000000000000000000000-22-2200
χ332222-2-2222-22-2-2-2222222-2-22-2-22-2-2-2222-2-222-2-2-222222-22002-200000000000000000000-2-222-2-222-2-20000000000000000000000
χ342222-2-2222-22-2-2-2222222-2-22-2-22-2-2-2222-2-222-2-2-22-2-2-2-2-22002-20000000000000000000022-2-222-2-2220000000000000000000000
χ352222-2-22-12-22-211-12-1-12211-11-2-1-211-1221-2-1-1-211-122221-100-113−33−3003−33−3003−33−30000-2-2-1-111-1-1110000000000003−33−3000000
χ362222-2-22-12-22-211-12-1-12211-11-2-1-211-1221-2-1-1-211-122221-100-11−33−3300−33−3300−33−330000-2-2-1-111-1-111000000000000−33−33000000
χ372222-2-22-12-22-211-12-1-12211-11-2-1-211-1221-2-1-1-211-1-2-2-2-21-100-113−33−3003−33−3003−33−300002211-1-111-1-1000000000000−33−33000000
χ382222-2-22-12-22-211-12-1-12211-11-2-1-211-1221-2-1-1-211-1-2-2-2-21-100-11−33−3300−33−3300−33−3300002211-1-111-1-10000000000003−33−3000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-200000000000000002-2-22000000000000002-2-2200000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200002200-2-20000000000000000-222-200000000000000-222-200000000000000
χ4122-2-22222-1-2-2-2222-1-2-211-2-2-12-12-1-1-1-1-11-2111111-20000-1-1001100003−333−3−3−33−3−3332-2-2200000000000000-111-1−333−30000000000
χ4222-2-22222-1-2-2-2222-1-2-211-2-2-12-12-1-1-1-1-11-2111111-20000-1-1001100003−333−3−3−33−3−333-222-2000000000000001-1-113−3−330000000000
χ4322-2-22222-1-2-2-2222-1-2-211-2-2-12-12-1-1-1-1-11-2111111-20000-1-100110000−33−3−3333−333−3−32-2-2200000000000000-111-13−3−330000000000
χ4422-2-22222-1-2-2-2222-1-2-211-2-2-12-12-1-1-1-1-11-2111111-20000-1-100110000−33−3−3333−333−3−3-222-2000000000000001-1-11−333−30000000000
χ4522-2-22-2-22-1-222-2-22-1-2-21122-12-1-2111-11-1-2111-1-1-120000-112-2-1122-2-2-1-1-1-1-1-11111112i2i−2i−2i00000000002i−2i00−i−iii−i−iii0000000000
χ4622-2-22-2-22-1-222-2-22-1-2-21122-12-1-2111-11-1-2111-1-1-120000-112-2-1122-2-2-1-1-1-1-1-1111111−2i−2i2i2i0000000000−2i2i00ii−i−iii−i−i0000000000
χ4722-2-22-2-22-1-222-2-22-1-2-21122-12-1-2111-11-1-2111-1-1-120000-11-22-11-2-222111111-1-1-1-1-1-12i2i−2i−2i0000000000−2i2i00−i−iiiii−i−i0000000000
χ4822-2-22-2-22-1-222-2-22-1-2-21122-12-1-2111-11-1-2111-1-1-120000-11-22-11-2-222111111-1-1-1-1-1-1−2i−2i2i2i00000000002i−2i00ii−i−i−i−iii0000000000
χ4922-2-22-2-2-12-22211-1211-2-2-1-1-1-121-211-1-221-2112-1-1-122-2-2-112-2-11-1-11122-1-1-1-1-2-2111100002-2-1-1-1-11111002-200000000-1-111000000
χ5022-2-22-2-2-12-22211-1211-2-2-1-1-1-121-211-1-221-2112-1-1-122-2-2-11-22-1111-1-1-2-2111122-1-1-1-100002-2-1-1-1-1111100-220000000011-1-1000000
χ5122-2-22-2-2-12-22211-1211-2-2-1-1-1-121-211-1-221-2112-1-1-1-2-222-112-2-11-1-11122-1-1-1-1-2-211110000-221111-1-1-1-100-220000000011-1-1000000
χ5222-2-22-2-2-12-22211-1211-2-2-1-1-1-121-211-1-221-2112-1-1-1-2-222-11-22-1111-1-1-2-2111122-1-1-1-10000-221111-1-1-1-1002-200000000-1-111000000
χ5322-2-2-22-22222-22222-2-2-2-2-2-22-2-2-22222-2222-2-2-2-2-2222-2-2-2-2002200000000000000000000-2222-2-2-2-2220000000000000000000000
χ5422-2-2-22-22222-22222-2-2-2-2-2-22-2-2-22222-2222-2-2-2-2-22-2-222-2-20022000000000000000000002-2-2-22222-2-20000000000000000000000
χ5522-2-2-22-2-1222-2-1-1-1211-2-211-11-212-1-1-1-22-1211-211-122-2-21100-1-13−3−33003−33−300−33−330000-22-1-11111-1-10000000000003−3−33000000
χ5622-2-2-22-2-1222-2-1-1-1211-2-211-11-212-1-1-1-22-1211-211-122-2-21100-1-1−333−300−33−33003−33−30000-22-1-11111-1-1000000000000−333−3000000
χ5722-2-2-22-2-1222-2-1-1-1211-2-211-11-212-1-1-1-22-1211-211-1-2-2221100-1-13−3−33003−33−300−33−3300002-211-1-1-1-111000000000000−333−3000000
χ5822-2-2-22-2-1222-2-1-1-1211-2-211-11-212-1-1-1-22-1211-211-1-2-2221100-1-1−333−300−33−33003−33−300002-211-1-1-1-1110000000000003−3−33000000
χ5922-2-2-2-22222-22-2-222-2-2-2-2222-2-22-2-2-222-222-2-2222-20000-2200-2200000000000000000000000000000000000000000000002i−2i−2i2i00
χ6022-2-2-2-22222-22-2-222-2-2-2-2222-2-22-2-2-222-222-2-2222-20000-2200-220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-20000114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2000011-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-244-4-422-24-2-24422-2-242-422-2-4-4-24-2-2-42220000-22002-20000000000000000000000000000000000000000000000000000
χ6444444-4-4-2-24-4-422-2-2-2-2-2-2221-2-222-1-1122-2-2112-1-1200001-100-11000023−23−3−33323−23−3−333000000000000000000000000000000000000
χ6544444-4-4-2-24-4-422-2-2-2-2-2-2221-2-222-1-1122-2-2112-1-1200001-100-110000−232333−3−3−232333−3−3000000000000000000000000000000000000
χ664444-44-44-2-4-44444-244-2-244-2-42-4-2-2-2-222-42-2-2-2-2-2-400002200220000000000000000000000000000000000000000000000000000
χ674444-44-4-24-4-44-2-2-24-2-244-2-2-22-424-2-2-2-4-42-4-2-24-2-2200002200220000000000000000000000000000000000000000000000000000
χ684444-44-4-2-2-4-44-2-2-2-2-2-2-2-2-2-21222-2111222211-21120000-1-100-1-10000003-3-33003-3-33000000000000000000000000000000000000
χ694444-44-4-2-2-4-44-2-2-2-2-2-2-2-2-2-21222-2111222211-21120000-1-100-1-1000000-333-300-333-3000000000000000000000000000000000000
χ704444-4-444-2-44-4-4-44-244-2-2-4-4-2-424222-2-2-2-42-2-2222400002-200-220000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-44-422-2-2-2-2-2-222122-22-1-11-2-222112-1-1-20000-11001-123−2323−2300−33−3300−33−33000000000000000000000000000000000000
χ724444-4-44-2-2-44-422-2-2-2-2-2-222122-22-1-11-2-222112-1-1-20000-11001-1−2323−2323003−33−3003−33−3000000000000000000000000000000000000
χ7344-4-4444-24-4-4-4-2-2-2422-4-422-2-24-24-2-2-24-42-422-42220000-2-200220000000000000000000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-2222-1-12-1-1200001100-1-1000023−23−3−333−232333−3−3000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-2222-1-12-1-1200001100-1-10000−232333−3−323−23−3−333000000000000000000000000000000000000
χ7644-4-44-4-4-2-2-44422-2-22222-2-21-2-222-1-112-222-1-1-211-200001-14-41-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000000
χ7744-4-44-4-4-2-2-44422-2-22222-2-21-2-222-1-112-222-1-1-211-200001-1-441-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ7844-4-4-44-44-244-4444-2-4-422-4-4-2-42-4-2-2-2-22-24-222222400002200-2-20000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-244-4-2-2-2-22222221222-21112-2-2-2-1-12-1-1-20000-1-1001123−23−232300−33−33003−33−3000000000000000000000000000000000000
χ8044-4-4-44-4-2-244-4-2-2-2-22222221222-21112-2-2-2-1-12-1-1-20000-1-10011−232323−23003−33−300−33−33000000000000000000000000000000000000
χ8144-4-4-4-444-24-44-4-44-2-4-42244-2-424222-2-224-222-2-2-2-400002-2002-20000000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-244-4422-2422-4-4-2-2-22-4-2-422-24-4-24224-2-2200002-2002-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-4422-2-22222-2-2122-22-1-11-22-2-2-1-1-21120000-1100-110000003-3-3300-333-3000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-4422-2-22222-2-2122-22-1-11-22-2-2-1-1-21120000-1100-11000000-333-3003-3-33000000000000000000000000000000000000
χ854-44i−4i0004400000-4-44i−4i4i−4i004000000-400004i−4i000022−22−2i22i2000000000000000000000000000022−2200−2i22i2000000000000000000000000
χ864-44i−4i0004400000-4-44i−4i4i−4i004000000-400004i−4i0000−22222i2−2i20000000000000000000000000000−2222002i2−2i2000000000000000000000000
χ874-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-20000−2i32i320000−2i2i023−23022−22−2i22i20000000000000000000000000000−226−6i2−i2i6−i60000000000000000000000
χ884-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-20000−2i32i320000−2i2i023−230−22222i2−2i200000000000000000000000000002−2−66−i2i2−i6i60000000000000000000000
χ894-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-200002i3−2i320000−2i2i0−2323022−22−2i22i20000000000000000000000000000−22−66i2−i2−i6i60000000000000000000000
χ904-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-200002i3−2i320000−2i2i0−23230−22222i2−2i200000000000000000000000000002−26−6−i2i2i6−i60000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i−4i4i004000000-40000−4i4i000022−222i2−2i2000000000000000000000000000022−22002i2−2i2000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i004000000-40000−4i4i0000−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i3200002i−2i0−2323022−222i2−2i20000000000000000000000000000−22−66−i2i2i6−i60000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i3200002i−2i0−23230−2222−2i22i200000000000000000000000000002−26−6i2−i2−i6i60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i3200002i−2i023−23022−222i2−2i20000000000000000000000000000−226−6−i2i2−i6i60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i3200002i−2i023−230−2222−2i22i200000000000000000000000000002−2−66i2−i2i6−i60000000000000000000000
χ978-88i−8i0008-400000-848i−8i−4i4i00-400000040000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43200002i3−2i3-200002i−2i0−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000−2i32i3-200002i−2i023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i4i−4i00-4000000400004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343200002i3−2i3-20000−2i2i023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000−2i32i3-20000−2i2i0−2323000000000000000000000000000000000000000000000000000000000000000

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