Finite Group Databasebeta

← Group #11790542

Character table — Group #11790542

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order124422233444661212121234444666666666121212121212121212126612121212121212121212121212121212121288888888888824242424242424242424242424242424888888
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ71111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ911-1-11-1-111-11111-1-1-1-11ii−i−i11-1-1-1-11-1-111-1-111-1-1111-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-1
χ1011-1-11-1-111-11111-1-1-1-11ii−i−i11-1-1-1-11-1-111-1-111-1-1111-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-111ii−i−i1-1
χ1111-1-11-1-111-11111-1-1-1-11ii−i−i11-1-1-1-11-1-111-1-111-1-1111-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111−i−iii-11
χ1211-1-11-1-111-11111-1-1-1-11ii−i−i11-1-1-1-11-1-111-1-111-1-1111-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1−i−iii-11
χ1311-1-11-1-111-11111-1-1-1-11−i−iii11-1-1-1-11-1-111-1-111-1-1111-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-111−i−iii1-1
χ1411-1-11-1-111-11111-1-1-1-11−i−iii11-1-1-1-11-1-111-1-111-1-1111-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−i−iii1-1
χ1511-1-11-1-111-11111-1-1-1-11−i−iii11-1-1-1-11-1-111-1-111-1-1111-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i-11
χ1611-1-11-1-111-11111-1-1-1-11−i−iii11-1-1-1-11-1-111-1-111-1-1111-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i-11
χ1722222222-12222-122-1-1-122222-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ1822222222-12222-122-1-1-122222-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ1922222222-12222-122-1-1-1-2-2-2-22-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-1-1-2-2111111-2-21111110000002200-2-20000-1-1-1-100001111000000
χ2022222222-12222-122-1-1-1-2-2-2-22-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-1-1-2-2111111-2-2111111000000-2-20022000011110000-1-1-1-1000000
χ212222222-12222-12-1-122-12222-12-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ222222222-12222-12-1-122-12222-12-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-2001111000011110000000000
χ232222222-12222-12-1-122-1-2-2-2-2-12-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-111-2-2111111-2-2111100002200-2-200-1-1-1-1000011110000000000
χ242222222-12222-12-1-122-1-2-2-2-2-12-12-12-1-1-1-12-12-1-1-1-1-12-1-1-1-111-2-2111111-2-211110000-2-200220011110000-1-1-1-10000000000
χ2522222-2-2222-2-222222222i−2i2i−2i22-2-2-2-22-2-2-2-222-2-222-2-22-2-222i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-2222-2-22222222−2i2i−2i2i22-2-2-2-22-2-2-2-222-2-222-2-22-2-22−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-12-2-22-122-1-1-12i−2i2i−2i2-1-21-21-111-212-111-1-1-21-111-12i−2i−ii−i−iii2i−2i−ii−i−iii0000000000000000−i3i3−i3i300003−33−3000000
χ2822222-2-22-12-2-22-122-1-1-12i−2i2i−2i2-1-21-21-111-212-111-1-1-21-111-12i−2i−ii−i−iii2i−2i−ii−i−iii0000000000000000i3−i3i3−i30000−33−33000000
χ2922222-2-22-12-2-22-122-1-1-1−2i2i−2i2i2-1-21-21-111-212-111-1-1-21-111-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000000000−i3i3−i3i30000−33−33000000
χ3022222-2-22-12-2-22-122-1-1-1−2i2i−2i2i2-1-21-21-111-212-111-1-1-21-111-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000000000i3−i3i3−i300003−33−3000000
χ3122222-2-2-122-2-2-12-1-122-12i−2i2i−2i-121-21-2-1111-2-1211-1-11-2-111-1−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000−i3i3−i3i300003−33−30000000000
χ3222222-2-2-122-2-2-12-1-122-12i−2i2i−2i-121-21-2-1111-2-1211-1-11-2-111-1−ii2i−2i−i−iii−ii2i−2i−i−iii000000000000i3−i3i3−i30000−33−330000000000
χ3322222-2-2-122-2-2-12-1-122-1−2i2i−2i2i-121-21-2-1111-2-1211-1-11-2-111-1i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000−i3i3−i3i30000−33−330000000000
χ3422222-2-2-122-2-2-12-1-122-1−2i2i−2i2i-121-21-2-1111-2-1211-1-11-2-111-1i−i−2i2iii−i−ii−i−2i2iii−i−i000000000000i3−i3i3−i300003−33−30000000000
χ352222-22-222-22-222222220000-2-222-2-22-2-2-2-2-2-2-2-22222-222-2000000000000000000000000000000000000000000002-22-200
χ362222-22-222-22-222222220000-2-222-2-22-2-2-2-2-2-2-2-22222-222-200000000000000000000000000000000000000000000-22-2200
χ372222-2-2222-2-2222222220000-2-2-2-22222222-2-22222-2-2-2-2-2-2000000000000000022220000000000000000000000000000-2-2
χ382222-2-2222-2-2222222220000-2-2-2-22222222-2-22222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000000022
χ3922-2-222222-2-2-222-2-2-2-222-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-22-22-222-2-2-22-22-2-2220000000000000000000000000000000000
χ4022-2-222222-2-2-222-2-2-2-22-222-2222222222-2-2-2-2-2-2-2-2-2-222-2-2-22-22-2-2222-22-222-2-20000000000000000000000000000000000
χ4122-2-22222-1-2-2-22-1-2-211-12-2-222-12-12-1-1-1-1-21-211111-21-1-1112-2-11-1-111-221-111-1-100000000000000003−3−330000−333−3000000
χ4222-2-22222-1-2-2-22-1-2-211-12-2-222-12-12-1-1-1-1-21-211111-21-1-1112-2-11-1-111-221-111-1-10000000000000000−333−300003−3−33000000
χ4322-2-22222-1-2-2-22-1-2-211-1-222-22-12-12-1-1-1-1-21-211111-21-1-111-221-111-1-12-2-11-1-11100000000000000003−3−3300003−3−33000000
χ4422-2-22222-1-2-2-22-1-2-211-1-222-22-12-12-1-1-1-1-21-211111-21-1-111-221-111-1-12-2-11-1-1110000000000000000−333−30000−333−3000000
χ4522-2-2222-12-2-2-2-1211-2-2-12-2-22-12-12-12-1-1-11-21-211111-2-1-111-112-2-1-1111-1-2211-1-10000000000003−3−330000−333−30000000000
χ4622-2-2222-12-2-2-2-1211-2-2-12-2-22-12-12-12-1-1-11-21-211111-2-1-111-112-2-1-1111-1-2211-1-1000000000000−333−300003−3−330000000000
χ4722-2-2222-12-2-2-2-1211-2-2-1-222-2-12-12-12-1-1-11-21-211111-2-1-1111-1-2211-1-1-112-2-1-1110000000000003−3−3300003−3−330000000000
χ4822-2-2222-12-2-2-2-1211-2-2-1-222-2-12-12-12-1-1-11-21-211111-2-1-1111-1-2211-1-1-112-2-1-111000000000000−333−30000−333−30000000000
χ4922-2-22-2-22-1-2222-1-2-211-12i2i−2i−2i2-1-21-21-1112-1-21-1-1112-1-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii0000002i−2i002-20000−i−iii0000-1-111000000
χ5022-2-22-2-22-1-2222-1-2-211-12i2i−2i−2i2-1-21-21-1112-1-21-1-1112-1-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii000000−2i2i00-220000ii−i−i000011-1-1000000
χ5122-2-22-2-22-1-2222-1-2-211-1−2i−2i2i2i2-1-21-21-1112-1-21-1-1112-1-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000002i−2i00-220000−i−iii000011-1-1000000
χ5222-2-22-2-22-1-2222-1-2-211-1−2i−2i2i2i2-1-21-21-1112-1-21-1-1112-1-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i000000−2i2i002-20000ii−i−i0000-1-111000000
χ5322-2-22-2-2-12-222-1211-2-2-12i2i−2i−2i-121-21-2-111-121-2-1-111-12-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii00002i−2i002-200−i−iii0000-1-1110000000000
χ5422-2-22-2-2-12-222-1211-2-2-12i2i−2i−2i-121-21-2-111-121-2-1-111-12-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i2i00-2200ii−i−i000011-1-10000000000
χ5522-2-22-2-2-12-222-1211-2-2-1−2i−2i2i2i-121-21-2-111-121-2-1-111-12-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i−2i00-2200−i−iii000011-1-10000000000
χ5622-2-22-2-2-12-222-1211-2-2-1−2i−2i2i2i-121-21-2-111-121-2-1-111-12-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i2i002-200ii−i−i0000-1-1110000000000
χ5722-2-2-22-2222-2222-2-2-2-220000-2-222-2-22-2-2222222-2-2-2-2-22-22000000000000000022-2-20000000000000000000000000000-22
χ5822-2-2-22-2222-2222-2-2-2-220000-2-222-2-22-2-2222222-2-2-2-2-22-220000000000000000-2-22200000000000000000000000000002-2
χ5922-2-2-2-222222-222-2-2-2-220000-2-2-2-222222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ6022-2-2-2-222222-222-2-2-2-220000-2-2-2-222222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ614444444-2-2444-2-2-2-2-2-214444-2-2-2-2-2-2111-2-2-2-21111-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2111-2-2-2-21111-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-2-24-4-4-2-2-2-2-2-214i−4i4i−4i-2-222221-1-122-2-2-1-111221-1-11−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-21−4i4i−4i4i-2-222221-1-122-2-2-1-111221-1-112i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ654444-44-44-2-44-44-244-2-2-20000-424-2-42-222-42-4222-2-24-22-2-2200000000000000000000000000000000000000000000000000
χ664444-44-4-24-44-4-24-2-244-200002-4-242-4-2222-42-422-2-2-242-2-2200000000000000000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-2-2-2-21000022-2-2221-1-12222-1-111-2-2-111-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-21000022-2-2221-1-12222-1-111-2-2-111-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ694444-4-444-2-4-444-244-2-2-20000-42-424-2-2-2-24-2-42-2-2-2-2-42222200000000000000000000000000000000000000000000000000
χ704444-4-44-24-4-44-24-2-244-200002-42-4-24-2-2-2-242-4-2-2-2-22-4222200000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-2100002222-2-2111-2-222111122-1-1-1-100003-3-3300003-3-330000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-2100002222-2-2111-2-222111122-1-1-1-10000-333-30000-333-30000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-2222214-4-44-2-2-2-2-2-21112222-1-1-1-12211-1-1-22-2211-1-12-22-2-1-1110000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-444-4-2-2-2-2-2-21112222-1-1-1-12211-1-12-22-2-1-111-22-2211-1-10000000000000000000000000000000000
χ7544-4-44-4-4-2-2-444-2-2222214i4i−4i−4i-2-222221-1-1-2-22211-1-1-2-21-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ7644-4-44-4-4-2-2-444-2-222221−4i−4i4i4i-2-222221-1-1-2-22211-1-1-2-21-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ7744-4-4-44-44-24-444-2-4-422-20000-424-2-42-2224-24-2-2-222-422-22-200000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-244-44-2422-4-4-200002-4-242-4-222-24-24-2-2222-42-22-200000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-24-44-2-222221000022-2-2221-1-1-2-2-2-211-1-122-11-1100003i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-222221000022-2-2221-1-1-2-2-2-211-1-122-11-110000−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000
χ8144-4-4-4-444-244-44-2-4-422-20000-42-424-2-2-2-2-424-222224-222-2-200000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-2444-4-2422-4-4-200002-42-4-24-2-2-22-4-242222-2422-2-200000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-22222100002222-2-211122-2-2-1-1-1-1-2-2-1-11100003-33-30000-33-330000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-22222100002222-2-211122-2-2-1-1-1-1-2-2-1-1110000-33-3300003-33-30000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000000000-4000000004i−4i000000000000000000000022−22−2i22i2000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i40000000000-4000000004i−4i0000000000000000000000−22222i2−2i2000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000000000-400000000−4i4i000000000000000000000022−222i2−2i2000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000000000-400000000−4i4i0000000000000000000000−2222−2i22i2000000000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-40000000000400000000−4i4i00000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000000000400000000−4i4i00000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000000000-26-600006i−6i2i−2i00000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000000000-2-660000−6i6i2i−2i00000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000000004000000004i−4i00000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000000004000000004i−4i00000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000000000-26-60000−6i6i−2i2i00000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000000000-2-6600006i−6i−2i2i00000000000000000000000000000000000000000000000000000000

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