Finite Group Databasebeta

← Group #11865882

Character table — Group #11865882

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663444466666666666121212121212121212121212121212121212121212121212121212124444224466668888121212122424242424242424222244
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
χ51111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ71111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ81111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ91111-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111111-11-1-1-1-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-11-111111-1-111-1-11111-1-11-1
χ111111-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1111-1-11-1-11-1-11111-1-1-1-111-1-111-11
χ121111-1-1111-1-11111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-1-111-111-111-1-1-1-11111-1-1-1-111-11
χ131111-1-1111-1-111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-11111-11-11-1-1-1-1-1-111-1-111-1-1111-1
χ141111-1-1111-1-111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1111111-1-111-1-1-1-1111-1
χ151111-1-1111-1-111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1111-1-1-111-1-1-111-1-11111-1-111-1-1-11
χ161111-1-1111-1-111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-111-1-1-1111-1-1111-1-111-1-1-1-11111-1-1-11
χ1722222222-2-2-2-22222222000022222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000022220000000000000000000000000000-2-2
χ1822222222-2-2-2-22222222000022222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000-2-2-2-2000000000000000000000000000022
χ192222222-122222-12-12-1-1222222-1-1-1-1-1-1-1-1-12-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000020200-1-1002200-1-10000-1-1-1-1000000
χ202222222-122222-12-12-1-1222222-1-1-1-1-1-1-1-1-12-122-1-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-20-2001100-2-2001100001111000000
χ212222222-122222-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-1-12-122-1-12-1-2-211-2-211-1-1-1-1111111110000020200-1-100-2-200-1-100001111000000
χ222222222-122222-12-12-1-1-2-2-2-222-1-1-1-1-1-1-1-1-12-122-1-12-1-2-211-2-211-1-1-1-11111111100000-20-20011002200110000-1-1-1-1000000
χ23222222-122222-12-12-12-12222-1-122-1-1-1-1-1-1-1-12-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002020-1-1002200-1-100-1-1-1-10000000000
χ24222222-122222-12-12-12-12222-1-122-1-1-1-1-1-1-1-12-1-122-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-20-201100-2-200110011110000000000
χ25222222-122222-12-12-12-1-2-2-2-2-1-122-1-1-1-1-1-1-1-12-1-122-1211-2-211-2-2-1-1-1-11111111100002020-1-100-2-200-1-10011110000000000
χ26222222-122222-12-12-12-1-2-2-2-2-1-122-1-1-1-1-1-1-1-12-1-122-1211-2-211-2-2-1-1-1-1111111110000-20-20110022001100-1-1-1-10000000000
χ272222-2-222-222-222222220000-2-2-2-22-2-2-2-222-2-22222-2-200000000-2-2220000000022-2-20000000000000000000000000000-22
χ282222-2-222-222-222222220000-2-2-2-22-2-2-2-222-2-22222-2-200000000-2-22200000000-2-22200000000000000000000000000002-2
χ292222-2-22-12-2-222-12-12-1-122-2-2-2-211-11111-1-12-1-2-2112-122-1-1-2-211-1-111-1-1-1-111110000020-200-1-1002-200110000-1-111000000
χ302222-2-22-12-2-222-12-12-1-122-2-2-2-211-11111-1-12-1-2-2112-122-1-1-2-211-1-111-1-1-1-1111100000-202001100-2200-1-1000011-1-1000000
χ312222-2-22-12-2-222-12-12-1-1-2-222-2-211-11111-1-12-1-2-2112-1-2-21122-1-1-1-1111111-1-1-1-10000020-200-1-100-220011000011-1-1000000
χ322222-2-22-12-2-222-12-12-1-1-2-222-2-211-11111-1-12-1-2-2112-1-2-21122-1-1-1-1111111-1-1-1-100000-2020011002-200-1-10000-1-111000000
χ332222-2-2-122-2-22-12-12-12-122-2-211-2-2-11111-1-1-1211-2-2-12-1-12211-2-2-1-111-1-1-1-11111000020-20-1-1002-2001100-1-1110000000000
χ342222-2-2-122-2-22-12-12-12-122-2-211-2-2-11111-1-1-1211-2-2-12-1-12211-2-2-1-111-1-1-1-111110000-20201100-2200-1-10011-1-10000000000
χ352222-2-2-122-2-22-12-12-12-1-2-22211-2-2-11111-1-1-1211-2-2-1211-2-2-1-122-1-1111111-1-1-1-1000020-20-1-100-2200110011-1-10000000000
χ362222-2-2-122-2-22-12-12-12-1-2-22211-2-2-11111-1-1-1211-2-2-1211-2-2-1-122-1-1111111-1-1-1-10000-202011002-200-1-100-1-1110000000000
χ3722-2-22-22222-2-2-2-2-2-22222i−2i2i−2i2-22-2-222-2-22-2222-22-2-2-22i−2i2i−2i2i−2i2i−2i2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ3822-2-22-22222-2-2-2-2-2-2222−2i2i−2i2i2-22-2-222-2-22-2222-22-2-2-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ3922-2-22-222-2-222-2-2-2-222200002-22-2-222-2-22-2-2-2-22-222200000000-22-220000000000000000000000000000000000002-22-200
χ4022-2-22-222-2-222-2-2-2-222200002-22-2-222-2-22-2-2-2-22-222200000000-22-22000000000000000000000000000000000000-22-2200
χ4122-2-22-22-122-2-2-21-212-1-12i−2i2i−2i2-2-111-1-111-112-12-2-11-212i−2i−ii2i−2i−ii-11-11−i−iii−i−iii0000000000−i3i3000000−i3i300003−33−3000000
χ4222-2-22-22-122-2-2-21-212-1-12i−2i2i−2i2-2-111-1-111-112-12-2-11-212i−2i−ii2i−2i−ii-11-11−i−iii−i−iii0000000000i3−i3000000i3−i30000−33−33000000
χ4322-2-22-22-122-2-2-21-212-1-1−2i2i−2i2i2-2-111-1-111-112-12-2-11-21−2i2ii−i−2i2ii−i-11-11ii−i−iii−i−i0000000000−i3i3000000−i3i30000−33−33000000
χ4422-2-22-22-122-2-2-21-212-1-1−2i2i−2i2i2-2-111-1-111-112-12-2-11-21−2i2ii−i−2i2ii−i-11-11ii−i−iii−i−i0000000000i3−i3000000i3−i300003−33−3000000
χ4522-2-22-2-1222-2-21-21-2-12-12i−2i2i−2i-112-21-1-111-11-12-112-21-2−ii2i−2i−ii2i−2i-11-11−i−iii−i−iii00000000−i3i3000000−i3i3003−33−30000000000
χ4622-2-22-2-1222-2-21-21-2-12-12i−2i2i−2i-112-21-1-111-11-12-112-21-2−ii2i−2i−ii2i−2i-11-11−i−iii−i−iii00000000i3−i3000000i3−i300−33−330000000000
χ4722-2-22-2-1222-2-21-21-2-12-1−2i2i−2i2i-112-21-1-111-11-12-112-21-2i−i−2i2ii−i−2i2i-11-11ii−i−iii−i−i00000000−i3i3000000−i3i300−33−330000000000
χ4822-2-22-2-1222-2-21-21-2-12-1−2i2i−2i2i-112-21-1-111-11-12-112-21-2i−i−2i2ii−i−2i2i-11-11ii−i−iii−i−i00000000i3−i3000000i3−i3003−33−30000000000
χ4922-2-2-22222-22-2-2-2-2-22222i−2i−2i2i-22-22-2-2-2222-222-22-22-2-22i−2i2i−2i−2i2i−2i2i2-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000
χ5022-2-2-22222-22-2-2-2-2-2222−2i2i2i−2i-22-22-2-2-2222-222-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000
χ5122-2-2-2222-22-22-2-2-2-22220000-22-22-2-2-2222-2-2-22-22-22200000000-222-20000000000000000000000000000000000002-2-2200
χ5222-2-2-2222-22-22-2-2-2-22220000-22-22-2-2-2222-2-2-22-22-22200000000-222-2000000000000000000000000000000000000-222-200
χ5322-2-2-222-12-22-2-21-212-1-12i−2i−2i2i-221-1111-1-1-112-1-221-1-212i−2i−ii−2i2ii−i-111-1−i−iiiii−i−i0000000000−i3i3000000i3−i300003−3−33000000
χ5422-2-2-222-12-22-2-21-212-1-12i−2i−2i2i-221-1111-1-1-112-1-221-1-212i−2i−ii−2i2ii−i-111-1−i−iiiii−i−i0000000000i3−i3000000−i3i30000−333−3000000
χ5522-2-2-222-12-22-2-21-212-1-1−2i2i2i−2i-221-1111-1-1-112-1-221-1-21−2i2ii−i2i−2i−ii-111-1ii−i−i−i−iii0000000000−i3i3000000i3−i30000−333−3000000
χ5622-2-2-222-12-22-2-21-212-1-1−2i2i2i−2i-221-1111-1-1-112-1-221-1-21−2i2ii−i2i−2i−ii-111-1ii−i−i−i−iii0000000000i3−i3000000−i3i300003−3−33000000
χ5722-2-2-22-122-22-21-21-2-12-12i−2i−2i2i1-1-22111-1-1-11-121-1-221-2−ii2i−2ii−i−2i2i-111-1−i−iiiii−i−i00000000−i3i3000000i3−i3003−3−330000000000
χ5822-2-2-22-122-22-21-21-2-12-12i−2i−2i2i1-1-22111-1-1-11-121-1-221-2−ii2i−2ii−i−2i2i-111-1−i−iiiii−i−i00000000i3−i3000000−i3i300−333−30000000000
χ5922-2-2-22-122-22-21-21-2-12-1−2i2i2i−2i1-1-22111-1-1-11-121-1-221-2i−i−2i2i−ii2i−2i-111-1ii−i−i−i−iii00000000−i3i3000000i3−i300−333−30000000000
χ6022-2-2-22-122-22-21-21-2-12-1−2i2i2i−2i1-1-22111-1-1-11-121-1-221-2i−i−2i2i−ii2i−2i-111-1ii−i−i−i−iii00000000i3−i3000000−i3i3003−3−330000000000
χ614444444-2-4-4-4-44-24-24-2-2000044-2-2-2-2-2-2-2-2-2-42-4-422-42000000002222000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-24-24-24-20000-2-244-2-2-2-2-2-2-22-422-4-42-4000000002222000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-214444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-4-4-4-4-2-2-2-21111111-2-2-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-210000-2-2-2-211111112222222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-210000-2-2-2-211111112222222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000
χ674444-4-44-2-444-44-24-24-2-20000-4-422-22222-2-2-4244-2-2-420000000022-2-2000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-24-24-24-2000022-4-4-22222-2-22-4-2-2442-40000000022-2-2000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2144-4-422221-1-1-1-111-2-22222-2-2-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-21-4-44422221-1-1-1-111-2-22222-2-22222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-21000022221-1-1-1-11122-2-2-2-22200000000-1-1113-33-3-33-330000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-21000022221-1-1-1-11122-2-2-2-22200000000-1-111-33-333-33-30000000000000000000000000000000000
χ7344-4-44-44-2-4-444-42-424-2-200004-4-222-2-222-22-42-442-24-2000000002-22-2000000000000000000000000000000000000000000
χ7444-4-44-4-24-4-4442-42-4-24-20000-224-42-2-222-222-42-2-44-24000000002-22-2000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-42222-2-214i−4i4i−4i-22-22-111-1-11-1-2-2-22-2222−2i2i−2i2i−2i2i−2i2i1-11-1ii−i−iii−i−i0000000000000000000000000000000000
χ7644-4-44-4-2-244-4-42222-2-21−4i4i−4i4i-22-22-111-1-11-1-2-2-22-22222i−2i2i−2i2i−2i2i−2i1-11-1−i−iii−i−iii0000000000000000000000000000000000
χ7744-4-44-4-2-2-4-4442222-2-210000-22-22-111-1-11-1222-22-2-2-200000000-11-113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ7844-4-44-4-2-2-4-4442222-2-210000-22-22-111-1-11-1222-22-2-2-200000000-11-11−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ7944-4-4-444-2-44-44-42-424-2-20000-442-2222-2-2-22-424-4-224-2000000002-2-22000000000000000000000000000000000000000000
χ8044-4-4-44-24-44-442-42-4-24-200002-2-44222-2-2-222-4-224-4-24000000002-2-22000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-42222-2-214i−4i−4i4i2-22-2-1-1-1111-1-2-22-22-222−2i2i−2i2i2i−2i2i−2i1-1-11ii−i−i−i−iii0000000000000000000000000000000000
χ8244-4-4-44-2-24-44-42222-2-21−4i4i4i−4i2-22-2-1-1-1111-1-2-22-22-2222i−2i2i−2i−2i2i−2i2i1-1-11−i−iiiii−i−i0000000000000000000000000000000000
χ8344-4-4-44-2-2-44-442222-2-2100002-22-2-1-1-1111-122-22-22-2-200000000-111-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-4-44-2-2-44-442222-2-2100002-22-2-1-1-1111-122-22-22-2-200000000-111-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ854-44-40044000044-4-4-4-440000000040000-4-40000000000000000000000000000004i−4i000000000000000000000000000000
χ864-44-40044000044-4-4-4-440000000040000-4-4000000000000000000000000000000−4i4i000000000000000000000000000000
χ874-4-4400440000-4-444-4-4400000000-40000-4400000000000000000000000000004-400000000000000000000000000000000
χ884-4-4400440000-4-444-4-4400000000-40000-440000000000000000000000000000-4400000000000000000000000000000000
χ898-88-8008-400008-4-84-84-400000000-400004400000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-484-84-8-400000000-400004400000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4-4444420000000026-66-6-2-200000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4-444442000000002-66-66-2-200000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-848-4-84-400000000400004-400000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-8-484-8-400000000400004-400000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-4-444200000000-26-6-66-2200000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-4-444200000000-2-666-6-2200000000000000000000000000000000000000000000000000000000000000

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