Finite Group Databasebeta

← Group #11791849

Character table — Group #11791849

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12222222223366666634444666666666666666666666661212121212121212121212121212121244444444444412121212121212121212121212121212444444
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ9111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−i
χ10111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−i
χ11111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11−i−iii
χ12111111-1-1-1-1111111111ii−i−i1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-11−i−iii
χ13111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii
χ14111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii
χ15111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11ii−i−i
χ16111111-1-1-1-1111111111−i−iii1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-11ii−i−i
χ1722222222222-12-122-1-1-1222222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000020200220000-1-1-1-10000-1-1-1-1000000
χ1822222222222-12-122-1-1-1222222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-20-200-2-20000111100001111000000
χ1922222222222-12-122-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000020200-2-20000-1-1-1-100001111000000
χ2022222222222-12-122-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100000-20-20022000011110000-1-1-1-1000000
χ212222222222-12-12-1-122-12222-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000020202200-1-1-1-10000-1-1-1-10000000000
χ222222222222-12-12-1-122-12222-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-20-20-2-2001111000011110000000000
χ232222222222-12-12-1-122-1-2-2-2-2-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111100002020-2-200-1-1-1-1000011110000000000
χ242222222222-12-12-1-122-1-2-2-2-2-1-122-1-122-1-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000-20-20220011110000-1-1-1-10000000000
χ25222222-2-2-2-22-12-122-1-1-12i2i−2i−2i22-1-1-2-211-1-1-111-2111-21-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000020-2002i−2i0000-1-1110000−i−iii000000
χ26222222-2-2-2-22-12-122-1-1-12i2i−2i−2i22-1-1-2-211-1-1-111-2111-21-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000-20200−2i2i000011-1-10000ii−i−i000000
χ27222222-2-2-2-22-12-122-1-1-1−2i−2i2i2i22-1-1-2-211-1-1-111-2111-21-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000020-200−2i2i0000-1-1110000ii−i−i000000
χ28222222-2-2-2-22-12-122-1-1-1−2i−2i2i2i22-1-1-2-211-1-1-111-2111-21-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000-202002i−2i000011-1-10000−i−iii000000
χ29222222-2-2-2-2-12-12-1-122-12i2i−2i−2i-1-12211-2-2-1-1-1111-2111-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000020-202i−2i00-1-1110000−i−iii0000000000
χ30222222-2-2-2-2-12-12-1-122-12i2i−2i−2i-1-12211-2-2-1-1-1111-2111-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2020−2i2i0011-1-10000ii−i−i0000000000
χ31222222-2-2-2-2-12-12-1-122-1−2i−2i2i2i-1-12211-2-2-1-1-1111-2111-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000020-20−2i2i00-1-1110000ii−i−i0000000000
χ32222222-2-2-2-2-12-12-1-122-1−2i−2i2i2i-1-12211-2-2-1-1-1111-2111-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-20202i−2i0011-1-10000−i−iii0000000000
χ332222-2-22-22-22222222220000-2-2-2-22-22-2222-2-2-2-2-2-222-2-222000000000000000022-2-2000000000000000000000000-220000
χ342222-2-22-22-22222222220000-2-2-2-22-22-2222-2-2-2-2-2-222-2-2220000000000000000-2-2220000000000000000000000002-20000
χ352222-2-2-22-222222222220000-2-2-2-2-22-22222222222-2-2-2-2-2-200000000000000002222000000000000000000000000-2-20000
χ362222-2-2-22-222222222220000-2-2-2-2-22-22222222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000220000
χ3722-2-22-222-2-22222-2-2-2-222-22-22-22-22-22-22-2-2-2-22222-2-22-22-22-22-222-2-22-22-222-2-20000000000000000000000000000000000
χ3822-2-22-222-2-22222-2-2-2-22-22-222-22-22-22-22-2-2-2-22222-2-22-22-2-22-22-2-222-22-22-2-2220000000000000000000000000000000000
χ3922-2-22-222-2-22-12-1-2-211-12-22-22-2-112-2-11-111112-1-1-1-21-11-112-2-11-1-1112-2-11-1-11100000000000000003−33−300003−33−3000000
χ4022-2-22-222-2-22-12-1-2-211-12-22-22-2-112-2-11-111112-1-1-1-21-11-112-2-11-1-1112-2-11-1-1110000000000000000−33−330000−33−33000000
χ4122-2-22-222-2-22-12-1-2-211-1-22-222-2-112-2-11-111112-1-1-1-21-11-11-221-111-1-1-221-111-1-100000000000000003−33−30000−33−33000000
χ4222-2-22-222-2-22-12-1-2-211-1-22-222-2-112-2-11-111112-1-1-1-21-11-11-221-111-1-1-221-111-1-10000000000000000−33−3300003−33−3000000
χ4322-2-22-222-2-2-12-1211-2-2-12-22-2-112-2-112-2-11111-12-1-11-2-11-11-112-2-1-111-112-2-1-1110000000000003−33−300003−33−30000000000
χ4422-2-22-222-2-2-12-1211-2-2-12-22-2-112-2-112-2-11111-12-1-11-2-11-11-112-2-1-111-112-2-1-111000000000000−33−330000−33−330000000000
χ4522-2-22-222-2-2-12-1211-2-2-1-22-22-112-2-112-2-11111-12-1-11-2-11-111-1-2211-1-11-1-2211-1-10000000000003−33−30000−33−330000000000
χ4622-2-22-222-2-2-12-1211-2-2-1-22-22-112-2-112-2-11111-12-1-11-2-11-111-1-2211-1-11-1-2211-1-1000000000000−33−3300003−33−30000000000
χ4722-2-22-2-2-2222222-2-2-2-222i−2i−2i2i2-22-2-22-222-2-222-2-2-2-2222-2-222i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4822-2-22-2-2-2222222-2-2-2-22−2i2i2i−2i2-22-2-22-222-2-222-2-2-2-2222-2-22−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4922-2-22-2-2-2222-12-1-2-211-12i−2i−2i2i2-2-11-221-1-111-1-1-21112-1-111-12i−2i−ii−i−iii−2i2ii−iii−i−i00000000000000003−3−330000i3−i3−i3i3000000
χ5022-2-22-2-2-2222-12-1-2-211-12i−2i−2i2i2-2-11-221-1-111-1-1-21112-1-111-12i−2i−ii−i−iii−2i2ii−iii−i−i0000000000000000−333−30000−i3i3i3−i3000000
χ5122-2-22-2-2-2222-12-1-2-211-1−2i2i2i−2i2-2-11-221-1-111-1-1-21112-1-111-1−2i2ii−iii−i−i2i−2i−ii−i−iii00000000000000003−3−330000−i3i3i3−i3000000
χ5222-2-22-2-2-2222-12-1-2-211-1−2i2i2i−2i2-2-11-221-1-111-1-1-21112-1-111-1−2i2ii−iii−i−i2i−2i−ii−i−iii0000000000000000−333−30000i3−i3−i3i3000000
χ5322-2-22-2-2-222-12-1211-2-2-12i−2i−2i2i-112-21-1-22-111-1-11-211-12-111-1−ii2i−2i−i−iiii−i−2i2iii−i−i0000000000003−3−330000i3−i3−i3i30000000000
χ5422-2-22-2-2-222-12-1211-2-2-12i−2i−2i2i-112-21-1-22-111-1-11-211-12-111-1−ii2i−2i−i−iiii−i−2i2iii−i−i000000000000−333−30000−i3i3i3−i30000000000
χ5522-2-22-2-2-222-12-1211-2-2-1−2i2i2i−2i-112-21-1-22-111-1-11-211-12-111-1i−i−2i2iii−i−i−ii2i−2i−i−iii0000000000003−3−330000−i3i3i3−i30000000000
χ5622-2-22-2-2-222-12-1211-2-2-1−2i2i2i−2i-112-21-1-22-111-1-11-211-12-111-1i−i−2i2iii−i−i−ii2i−2i−i−iii000000000000−333−30000i3−i3−i3i30000000000
χ5722-2-2-222-2-222222-2-2-2-220000-22-2222222-2-222-2-2-2-2-2-2-222-200000000000000000000000000000000000000000000002-22-2
χ5822-2-2-222-2-222222-2-2-2-220000-22-2222222-2-222-2-2-2-2-2-2-222-20000000000000000000000000000000000000000000000-22-22
χ5922-2-2-22-222-22222-2-2-2-220000-22-22-2-2-2-22-2-2-2-2222222-22-2200000000000000000000000000000000000000000000002i−2i−2i2i
χ6022-2-2-22-222-22222-2-2-2-220000-22-22-2-2-2-22-2-2-2-2222222-22-220000000000000000000000000000000000000000000000−2i2i2i−2i
χ614444444444-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-211111-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-211111-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ63444444-4-4-4-4-2-2-2-2-2-2-2-214i4i−4i−4i-2-2-2-22222111-1-122-1-12211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ64444444-4-4-4-4-2-2-2-2-2-2-2-21−4i−4i4i4i-2-2-2-22222111-1-122-1-12211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ654444-4-44-44-44-24-244-2-2-20000-4-4224-4-22-2-2-222-42224-222-2-200000000000000000000000000000000000000000000000000
χ664444-4-44-44-4-24-24-2-244-2000022-4-4-224-4-2-2-2222-422-2422-2-200000000000000000000000000000000000000000000000000
χ674444-4-44-44-4-2-2-2-2-2-2-2-2100002222-22-22111-1-122-1-1-2-2-1-11100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ684444-4-44-44-4-2-2-2-2-2-2-2-2100002222-22-22111-1-122-1-1-2-2-1-1110000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ694444-4-4-44-444-24-244-2-2-20000-4-422-442-2-2-2-2-2-24-2-2-2-42222200000000000000000000000000000000000000000000000000
χ704444-4-4-44-44-24-24-2-244-2000022-4-42-2-44-2-2-2-2-2-24-2-22-4222200000000000000000000000000000000000000000000000000
χ714444-4-4-44-44-2-2-2-2-2-2-2-21000022222-22-211111-2-21122-1-1-1-100003-33-30000-33-330000000000000000000000000000000000
χ724444-4-4-44-44-2-2-2-2-2-2-2-21000022222-22-211111-2-21122-1-1-1-10000-33-3300003-33-30000000000000000000000000000000000
χ7344-4-44-444-4-4-2-2-2-2222214-44-4-22-22-22-221-1-1-1-1-2-211221-11-1-22-2211-1-1-22-2211-1-10000000000000000000000000000000000
χ7444-4-44-444-4-4-2-2-2-222221-44-44-22-22-22-221-1-1-1-1-2-211221-11-12-22-2-1-1112-22-2-1-1110000000000000000000000000000000000
χ7544-4-44-4-4-444-2-2-2-2222214i−4i−4i4i-22-222-22-21-1-11122-1-1-2-21-1-11−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ7644-4-44-4-4-444-2-2-2-222221−4i4i4i−4i-22-222-22-21-1-11122-1-1-2-21-1-112i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ7744-4-4-444-4-444-24-2-4-422-20000-442-244-2-2-222-2-2-4222-422-2-2200000000000000000000000000000000000000000000000000
χ7844-4-4-444-4-44-24-2422-4-4-200002-2-44-2-244-222-2-22-4222-42-2-2200000000000000000000000000000000000000000000000000
χ7944-4-4-444-4-44-2-2-2-22222100002-22-2-2-2-2-21-1-11122-1-122-111-100003i−3i−3i3i00003i−3i−3i3i0000000000000000000000000000000000
χ8044-4-4-444-4-44-2-2-2-22222100002-22-2-2-2-2-21-1-11122-1-122-111-10000−3i3i3i−3i0000−3i3i3i−3i0000000000000000000000000000000000
χ8144-4-4-44-444-44-24-2-4-422-20000-442-2-4-422-222224-2-2-24-22-22-200000000000000000000000000000000000000000000000000
χ8244-4-4-44-444-4-24-2422-4-4-200002-2-4422-4-4-22222-24-2-2-242-22-200000000000000000000000000000000000000000000000000
χ8344-4-4-44-444-4-2-2-2-22222100002-22-222221-1-1-1-1-2-211-2-2-11-1100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-4-44-444-4-2-2-2-22222100002-22-222221-1-1-1-1-2-211-2-2-11-110000-333-300003-3-330000000000000000000000000000000000
χ854-44-400000044-4-44-44-44000000000000-44-40000000000000000000000000000004i−4i000000000000000000000000000000
χ864-44-400000044-4-44-44-44000000000000-44-4000000000000000000000000000000−4i4i000000000000000000000000000000
χ874-4-4400000044-4-4-44-444000000000000-4-4400000000000000000000000000004-400000000000000000000000000000000
χ884-4-4400000044-4-4-44-444000000000000-4-440000000000000000000000000000-4400000000000000000000000000000000
χ898-88-80000008-4-848-8-44-40000000000004-4400000000000000000000000000000000000000000000000000000000000000
χ908-88-8000000-484-8-448-8-40000000000004-4400000000000000000000000000000000000000000000000000000000000000
χ918-88-8000000-4-444-44-442000000000000-22-26-6006-600000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-444-44-442000000000000-22-2-6600-6600000000000000000000000000000000000000000000000000000000
χ938-8-880000008-4-84-884-4-400000000000044-400000000000000000000000000000000000000000000000000000000000000
χ948-8-88000000-484-84-4-88-400000000000044-400000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-4444-44-42000000000000-2-226-600-6600000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-4444-44-42000000000000-2-22-66006-600000000000000000000000000000000000000000000000000000000

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