Finite Group Databasebeta

← Group #11868049

Character table — Group #11868049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12442223344466121212123666666666888812121212121212121212661212242424242424242424242424242424248888224466668888121212122424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ81111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ911-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-111-1-111-1-111111-11-1-1-1-1-111-1-111-1-11-11-11-1
χ1011-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-111111-1-111-1-1111-11-11-1
χ1111-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11-1-11-1-11111-1-1-1-111-11-11-11
χ1211-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-111-111-111-1-1-1-11111-1-1-11-11-11
χ1311-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-11-11-1-1-1-1-1-111-1-111-11-111-1
χ1411-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-11-1111111-1-111-1-1-11-111-1
χ1511-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-111111111-1-1111-1-1111-1-1-111-1-1-111-1-11111-1-11-11-1-11
χ1611-1-11-1-111-11111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1111-1-1111-1-111-1-1-1-1111-11-1-11
χ1722222222-12222-122-1-1-12-122-1-1-1-1-122222-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000020200-1-1002200-1-10000-1-1-1-1000000
χ1822222222-12222-122-1-1-12-122-1-1-1-1-122222-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-20-2001100-2-2001100001111000000
χ1922222222-12222-122-1-1-12-122-1-1-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000020200-1-100-2-200-1-100001111000000
χ2022222222-12222-122-1-1-12-122-1-1-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100000-20-20011002200110000-1-1-1-1000000
χ212222222-12222-12-1-122-1-12-1-122-1-1-12222-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002020-1-1002200-1-100-1-1-1-10000000000
χ222222222-12222-12-1-122-1-12-1-122-1-1-12222-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-20-201100-2-200110011110000000000
χ232222222-12222-12-1-122-1-12-1-122-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111100002020-1-100-2-200-1-10011110000000000
χ242222222-12222-12-1-122-1-12-1-122-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000-20-20110022001100-1-1-1-10000000000
χ2522222-2-2222-2-2222222222-2-2-2-2-2-222i−2i2i−2i2222-2-2-2-2-2-22-2-222i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-2222-2-2222222222-2-2-2-2-2-22−2i2i−2i2i2222-2-2-2-2-2-22-2-22−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-12-2-22-122-1-1-12-1-2-21111-12i−2i2i−2i2-1-1-1-2111-21-111-12i−2i−ii−i−iii2i−2i−ii−i−iii0000000000−i3i3000000−i3i300003−33−3000000
χ2822222-2-22-12-2-22-122-1-1-12-1-2-21111-12i−2i2i−2i2-1-1-1-2111-21-111-12i−2i−ii−i−iii2i−2i−ii−i−iii0000000000i3−i3000000i3−i30000−33−33000000
χ2922222-2-22-12-2-22-122-1-1-12-1-2-21111-1−2i2i−2i2i2-1-1-1-2111-21-111-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000−i3i3000000−i3i30000−33−33000000
χ3022222-2-22-12-2-22-122-1-1-12-1-2-21111-1−2i2i−2i2i2-1-1-1-2111-21-111-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000i3−i3000000i3−i300003−33−3000000
χ3122222-2-2-122-2-2-12-1-122-1-1211-2-211-12i−2i2i−2i-12-1-11-2111-2-111-1−ii2i−2i−i−iii−ii2i−2i−i−iii00000000−i3i3000000−i3i3003−33−30000000000
χ3222222-2-2-122-2-2-12-1-122-1-1211-2-211-12i−2i2i−2i-12-1-11-2111-2-111-1−ii2i−2i−i−iii−ii2i−2i−i−iii00000000i3−i3000000i3−i300−33−330000000000
χ3322222-2-2-122-2-2-12-1-122-1-1211-2-211-1−2i2i−2i2i-12-1-11-2111-2-111-1i−i−2i2iii−i−ii−i−2i2iii−i−i00000000−i3i3000000−i3i300−33−330000000000
χ3422222-2-2-122-2-2-12-1-122-1-1211-2-211-1−2i2i−2i2i-12-1-11-2111-2-111-1i−i−2i2iii−i−ii−i−2i2iii−i−i00000000i3−i3000000i3−i3003−33−30000000000
χ352222-22-222-22-22222222-2-22-22-2-2-220000-2-222-2-2-2-222-222-2000000000000000000000000000000000000000000002-2-2200
χ362222-22-222-22-22222222-2-22-22-2-2-220000-2-222-2-2-2-222-222-200000000000000000000000000000000000000000000-222-200
χ372222-2-2222-2-222222222-2-2-22-222220000-2-2222222-2-2-2-2-2-2000000000000000022220000000000000000000000000000-2-2
χ382222-2-2222-2-222222222-2-2-22-222220000-2-2222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000000022
χ3922-2-222222-2-2-222-2-2-2-222222222222i−2i−2i2i-2-2-2-2-2-2-2-2-2-222-2-22i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222−2i2i2i−2i-2-2-2-2-2-2-2-2-2-222-2-2−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4122-2-22222-1-2-2-22-1-2-211-12-122-1-1-1-1-12i−2i−2i2i-2111-2111-21-1-1112i−2i−ii−i−iii−2i2ii−iii−i−i0000000000−i3i3000000i3−i300003−3−33000000
χ4222-2-22222-1-2-2-22-1-2-211-12-122-1-1-1-1-12i−2i−2i2i-2111-2111-21-1-1112i−2i−ii−i−iii−2i2ii−iii−i−i0000000000i3−i3000000−i3i30000−333−3000000
χ4322-2-22222-1-2-2-22-1-2-211-12-122-1-1-1-1-1−2i2i2i−2i-2111-2111-21-1-111−2i2ii−iii−i−i2i−2i−ii−i−iii0000000000−i3i3000000i3−i30000−333−3000000
χ4422-2-22222-1-2-2-22-1-2-211-12-122-1-1-1-1-1−2i2i2i−2i-2111-2111-21-1-111−2i2ii−iii−i−i2i−2i−ii−i−iii0000000000i3−i3000000−i3i300003−3−33000000
χ4522-2-2222-12-2-2-2-1211-2-2-1-12-1-122-1-1-12i−2i−2i2i1-2111-2111-2-1-111−ii2i−2i−i−iiii−i−2i2iii−i−i00000000−i3i3000000i3−i3003−3−330000000000
χ4622-2-2222-12-2-2-2-1211-2-2-1-12-1-122-1-1-12i−2i−2i2i1-2111-2111-2-1-111−ii2i−2i−i−iiii−i−2i2iii−i−i00000000i3−i3000000−i3i300−333−30000000000
χ4722-2-2222-12-2-2-2-1211-2-2-1-12-1-122-1-1-1−2i2i2i−2i1-2111-2111-2-1-111i−i−2i2iii−i−i−ii2i−2i−i−iii00000000−i3i3000000i3−i300−333−30000000000
χ4822-2-2222-12-2-2-2-1211-2-2-1-12-1-122-1-1-1−2i2i2i−2i1-2111-2111-2-1-111i−i−2i2iii−i−i−ii2i−2i−i−iii00000000i3−i3000000−i3i3003−3−330000000000
χ4922-2-22-2-22-1-2222-1-2-211-12-1-2-21111-122-2-2-21112-1-1-12-1-11-1122-1-1-1-1-1-1-2-21111110000020-200-1-1002-200110000-1-111000000
χ5022-2-22-2-22-1-2222-1-2-211-12-1-2-21111-122-2-2-21112-1-1-12-1-11-1122-1-1-1-1-1-1-2-211111100000-202001100-2200-1-1000011-1-1000000
χ5122-2-22-2-22-1-2222-1-2-211-12-1-2-21111-1-2-222-21112-1-1-12-1-11-11-2-211111122-1-1-1-1-1-10000020-200-1-100-220011000011-1-1000000
χ5222-2-22-2-22-1-2222-1-2-211-12-1-2-21111-1-2-222-21112-1-1-12-1-11-11-2-211111122-1-1-1-1-1-100000-2020011002-200-1-10000-1-111000000
χ5322-2-22-2-2-12-222-1211-2-2-1-1211-2-211-122-2-21-211-12-1-1-12-11-11-1-122-1-1-1-111-2-21111000020-20-1-1002-2001100-1-1110000000000
χ5422-2-22-2-2-12-222-1211-2-2-1-1211-2-211-122-2-21-211-12-1-1-12-11-11-1-122-1-1-1-111-2-211110000-20201100-2200-1-10011-1-10000000000
χ5522-2-22-2-2-12-222-1211-2-2-1-1211-2-211-1-2-2221-211-12-1-1-12-11-1111-2-21111-1-122-1-1-1-1000020-20-1-100-2200110011-1-10000000000
χ5622-2-22-2-2-12-222-1211-2-2-1-1211-2-211-1-2-2221-211-12-1-1-12-11-1111-2-21111-1-122-1-1-1-10000-202011002-200-1-100-1-1110000000000
χ5722-2-2-22-2222-2222-2-2-2-22-2-22-22-2-2-22000022-2-22222-2-2-22-22000000000000000022-2-20000000000000000000000000000-22
χ5822-2-2-22-2222-2222-2-2-2-22-2-22-22-2-2-22000022-2-22222-2-2-22-220000000000000000-2-22200000000000000000000000000002-2
χ5922-2-2-2-222222-222-2-2-2-22-2-2-22-22222000022-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000022-2-200
χ6022-2-2-2-222222-222-2-2-2-22-2-2-22-22222000022-2-2-2-2-2-222-2-22200000000000000000000000000000000000000000000-2-22200
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-21114444-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-4-4-4-4-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-2-24-4-4-2-2-2-2-2-21-2-22222-1-114i−4i4i−4i-2-21122-1-1221-1-11−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-21-2-22222-1-11−4i4i−4i4i-2-21122-1-1221-1-112i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ654444-44-44-2-44-44-244-2-2-2-424-4-2222-20000-42-2-2-42224-22-2-2200000000000000000000000000000000000000000000000000
χ664444-44-4-24-44-4-24-2-244-22-4-224-422-200002-4-2-22-422-242-2-2200000000000000000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-2-2-2-2122-22-22-1-110000221122-1-1-2-2-111-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-2122-22-22-1-110000221122-1-1-2-2-111-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ694444-4-444-2-4-444-244-2-2-2-42-442-2-2-2-20000-42-2-24-2-2-2-42222200000000000000000000000000000000000000000000000000
χ704444-4-44-24-4-44-24-2-244-22-42-2-44-2-2-200002-4-2-2-24-2-22-4222200000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-21222-22-211100002211-2-21122-1-1-1-100003-3-3300003-3-330000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-21222-22-211100002211-2-21122-1-1-1-10000-333-30000-333-30000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21114i−4i−4i4i22-1-122-1-12211-1-1−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-2111−4i4i4i−4i22-1-122-1-12211-1-12i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ7544-4-44-4-4-2-2-444-2-222221-2-22222-1-1144-4-422-1-1-2-211-2-21-11-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ7644-4-44-4-4-2-2-444-2-222221-2-22222-1-11-4-44422-1-1-2-211-2-21-11-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ7744-4-4-44-44-24-444-2-4-422-2-424-4-2222-200004-2224-2-2-2-422-22-200000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-244-44-2422-4-4-22-4-224-422-20000-2422-24-2-22-42-22-200000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-24-44-2-22222122-22-22-1-110000-2-2-1-1-2-21122-11-1100003-3-330000-333-30000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-22222122-22-22-1-110000-2-2-1-1-2-21122-11-110000-333-300003-3-330000000000000000000000000000000000
χ8144-4-4-4-444-244-44-2-4-422-2-42-442-2-2-2-200004-222-42224-222-2-200000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-2444-4-2422-4-4-22-42-2-44-2-2-20000-24222-422-2422-2-200000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-222221222-22-21110000-2-2-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-222221222-22-21110000-2-2-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000000-40000004i−4i0000000000000000000000000022−22−2i22i2000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i400000000-40000004i−4i00000000000000000000000000−22222i2−2i2000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000000−4i4i0000000000000000000000000022−222i2−2i2000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000000−4i4i00000000000000000000000000−2222−2i22i2000000000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-4000000004000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-4000000004000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000006-6-20000002i−2i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i2000000-66-20000002i−2i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-40000000040000004i−4i000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-40000000040000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000006-6-2000000−2i2i00−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i2000000-66-2000000−2i2i006i−6i00000000000000000000000000000000000000000000000000000000

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