Finite Group Databasebeta

← Group #11785496

Character table — Group #11785496

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1244222334446612121212223446666666661212121212121212121266666666661212121212121212121288884444444412121212121212121212121212121212888888
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ5111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ7111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911111-1-111-1-111111111-111-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-1
χ1011111-1-111-1-111111111-111-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-1
χ1111111-1-111-1-111111111-111-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111
χ1211111-1-111-1-111111111-111-111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111
χ1311111-1-111-1-11111111-111-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1111111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-1-1-111
χ1411111-1-111-1-11111111-111-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1111111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1-111
χ1511111-1-111-1-11111111-111-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1111-1-1
χ1611111-1-111-1-11111111-111-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1111-1-1
χ1722222222-12222-122-1-122-1222-1-1-1-122-1-12-122-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-1000000
χ1822222222-12222-122-1-122-1222-1-1-1-122-1-12-122-1-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-100000000-2-2-2-20000000011111111000000
χ1922222222-12222-122-1-1-2-2-1-2-22-1-1-1-122-1-12-122-1-1-1-1-1-1-21-21-1-11111-21-21-1-111110000000022-2-200000000-1-1-1-11111000000
χ2022222222-12222-122-1-1-2-2-1-2-22-1-1-1-122-1-12-122-1-1-1-1-1-1-21-21-1-11111-21-21-1-1111100000000-2-222000000001111-1-1-1-1000000
χ212222222-12222-12-1-12222-122-12-1-1-1-1-122-12-1-122-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000000000
χ222222222-12222-12-1-12222-122-12-1-1-1-1-122-12-1-122-1-1-1-1-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-10000-2-2-2-200001111111100000000000000
χ232222222-12222-12-1-122-2-2-1-2-2-12-1-1-1-1-122-12-1-122-1-1-1-11-21-2-1-111111-21-2-1-11111000022-2-20000-1-1-1-1111100000000000000
χ242222222-12222-12-1-122-2-2-1-2-2-12-1-1-1-1-122-12-1-122-1-1-1-11-21-2-1-111111-21-2-1-111110000-2-22200001111-1-1-1-100000000000000
χ2522222-2-22-1-2-222-122-1-12-2-12-22-1-1-1-1-2-2112-1-2-211-1-1-1-12-1-2111-1-1112-1-2111-1-111000000002i−2i2i−2i00000000−i−iii−i−iii000000
χ2622222-2-22-1-2-222-122-1-12-2-12-22-1-1-1-1-2-2112-1-2-211-1-1-1-12-1-2111-1-1112-1-2111-1-11100000000−2i2i−2i2i00000000ii−i−iii−i−i000000
χ2722222-2-22-1-2-222-122-1-1-22-1-222-1-1-1-1-2-2112-1-2-211-1-1-1-1-212-11111-1-1-212-11111-1-1000000002i−2i−2i2i00000000−i−iiiii−i−i000000
χ2822222-2-22-1-2-222-122-1-1-22-1-222-1-1-1-1-2-2112-1-2-211-1-1-1-1-212-11111-1-1-212-11111-1-100000000−2i2i2i−2i00000000ii−i−i−i−iii000000
χ2922222-2-2-12-2-22-12-1-1222-2-12-2-12-1-1-111-2-2-1211-2-2-1-1-1-1-121-211-1-111-121-211-1-11100002i−2i2i−2i0000−i−iii−i−iii00000000000000
χ3022222-2-2-12-2-22-12-1-1222-2-12-2-12-1-1-111-2-2-1211-2-2-1-1-1-1-121-211-1-111-121-211-1-1110000−2i2i−2i2i0000ii−i−iii−i−i00000000000000
χ3122222-2-2-12-2-22-12-1-122-22-1-22-12-1-1-111-2-2-1211-2-2-1-1-1-11-2-121111-1-11-2-121111-1-100002i−2i−2i2i0000−i−iiiii−i−i00000000000000
χ3222222-2-2-12-2-22-12-1-122-22-1-22-12-1-1-111-2-2-1211-2-2-1-1-1-11-2-121111-1-11-2-121111-1-10000−2i2i2i−2i0000ii−i−i−i−iii00000000000000
χ332222-22-2222-2-222222200200-2-2-2-222-22-2-2-22-22-222-2-200002-2000000002-200000000000000000000000000000000002i−2i2i−2i
χ342222-22-2222-2-222222200200-2-2-2-222-22-2-2-22-22-222-2-200002-2000000002-20000000000000000000000000000000000−2i2i−2i2i
χ352222-2-2222-22-222222200200-2-2-2-22-22-22-2-2-22-2222-2-20000-2200000000-2200000000000000000000000000000000002i−2i−2i2i
χ362222-2-2222-22-222222200200-2-2-2-22-22-22-2-2-22-2222-2-20000-2200000000-220000000000000000000000000000000000−2i2i2i−2i
χ3722-2-222222-2-2-222-2-2-2-22-22-22222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-222-2-2-2-2220000000000000000000000000000000000
χ3822-2-222222-2-2-222-2-2-2-2-2222-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-222-2-20000000000000000000000000000000000
χ3922-2-22222-1-2-2-22-1-2-2112-2-1-222-1-1-1-122-1-1-21-2-21111112-1-21-1-1-1-111-212-11111-1-100000000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ4022-2-22222-1-2-2-22-1-2-2112-2-1-222-1-1-1-122-1-1-21-2-21111112-1-21-1-1-1-111-212-11111-1-100000000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ4122-2-22222-1-2-2-22-1-2-211-22-12-22-1-1-1-122-1-1-21-2-2111111-212-1-1-111-1-12-1-2111-1-11100000000000000000000−i3i3−i3i3i3−i3i3−i3000000
χ4222-2-22222-1-2-2-22-1-2-211-22-12-22-1-1-1-122-1-1-21-2-2111111-212-1-1-111-1-12-1-2111-1-11100000000000000000000i3−i3i3−i3−i3i3−i3i3000000
χ4322-2-2222-12-2-2-2-1211-2-22-2-1-22-12-1-1-1-1-1221-211-2-21111-121-2-1-1-1-1111-2-121111-1-1000000000000−i3i3−i3i3−i3i3−i3i300000000000000
χ4422-2-2222-12-2-2-2-1211-2-22-2-1-22-12-1-1-1-1-1221-211-2-21111-121-2-1-1-1-1111-2-121111-1-1000000000000i3−i3i3−i3i3−i3i3−i300000000000000
χ4522-2-2222-12-2-2-2-1211-2-2-22-12-2-12-1-1-1-1-1221-211-2-211111-2-12-1-111-1-1-121-211-1-111000000000000−i3i3−i3i3i3−i3i3−i300000000000000
χ4622-2-2222-12-2-2-2-1211-2-2-22-12-2-12-1-1-1-1-1221-211-2-211111-2-12-1-111-1-1-121-211-1-111000000000000i3−i3i3−i3−i3i3−i3i300000000000000
χ4722-2-22-2-22222-222-2-2-2-2222-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ4822-2-22-2-22222-222-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ4922-2-22-2-22-122-22-1-2-21122-1-2-22-1-1-1-1-2-211-2122-1-111112-12-111-1-1-1-1-21-21-1-11111000000000000000000003−3−333−3−33000000
χ5022-2-22-2-22-122-22-1-2-21122-1-2-22-1-1-1-1-2-211-2122-1-111112-12-111-1-1-1-1-21-21-1-1111100000000000000000000−333−3−333−3000000
χ5122-2-22-2-22-122-22-1-2-211-2-2-1222-1-1-1-1-2-211-2122-1-11111-21-211111112-12-1-1-1-1-1-1-1000000000000000000003−3−33−333−3000000
χ5222-2-22-2-22-122-22-1-2-211-2-2-1222-1-1-1-1-2-211-2122-1-11111-21-211111112-12-1-1-1-1-1-1-100000000000000000000−333−33−3−33000000
χ5322-2-22-2-2-1222-2-1211-2-222-1-2-2-12-1-1-111-2-21-2-1-1221111-12-1211-1-1-1-11-21-2-1-111110000000000003−3−333−3−3300000000000000
χ5422-2-22-2-2-1222-2-1211-2-222-1-2-2-12-1-1-111-2-21-2-1-1221111-12-1211-1-1-1-11-21-2-1-11111000000000000−333−3−333−300000000000000
χ5522-2-22-2-2-1222-2-1211-2-2-2-2-122-12-1-1-111-2-21-2-1-12211111-21-2111111-12-12-1-1-1-1-1-10000000000003−3−33−333−300000000000000
χ5622-2-22-2-2-1222-2-1211-2-2-2-2-122-12-1-1-111-2-21-2-1-12211111-21-2111111-12-12-1-1-1-1-1-1000000000000−333−33−3−3300000000000000
χ5722-2-2-22-222-22222-2-2-2-200200-2-2-2-222-22-222-22-22-2-22200002-200000000-22000022-2-20000000000000000000000002-20000
χ5822-2-2-22-222-22222-2-2-2-200200-2-2-2-222-22-222-22-22-2-22200002-200000000-220000-2-222000000000000000000000000-220000
χ5922-2-2-2-22222-2222-2-2-2-200200-2-2-2-22-22-22222-22-2-2-2220000-22000000002-2000022-2-2000000000000000000000000-220000
χ6022-2-2-2-22222-2222-2-2-2-200200-2-2-2-22-22-22222-22-2-2-2220000-22000000002-20000-2-2220000000000000000000000002-20000
χ614444444-2-2444-2-2-2-2-2-244144-2-2111-2-2-2-2-2-2-2-2-2-21111-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-4-41-4-4-2-2111-2-2-2-2-2-2-2-2-2-21111222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-2-2-4-44-2-2-2-2-2-24-414-4-2-21112222-2-222221111-2-222-1-111-1-1-2-222-1-111-1-10000000000000000000000000000000000
χ6444444-4-4-2-2-4-44-2-2-2-2-2-2-441-44-2-21112222-2-22222111122-2-2-1-1-1-11122-2-2-1-1-1-1110000000000000000000000000000000000
χ654444-44-44-24-4-44-244-2-200-200-4222-24-4-22-424-4-22-2-2220000-2200000000-2200000000000000000000000000000000000000
χ664444-44-4-244-4-4-24-2-24400-2002-422-2-224-42-4-224-4-2-2220000-2200000000-2200000000000000000000000000000000000000
χ674444-44-4-2-24-4-4-2-2-2-2-2-20010022-1-11-22-2222-22-2211-1-100001-13-33-300001-13-33-30000000000000000000000000000000000
χ684444-44-4-2-24-4-4-2-2-2-2-2-20010022-1-11-22-2222-22-2211-1-100001-1-33-3300001-1-33-330000000000000000000000000000000000
χ694444-4-444-2-44-44-244-2-200-200-4222-2-442-2-42-442-2-2-22200002-2000000002-200000000000000000000000000000000000000
χ704444-4-44-24-44-4-24-2-24400-2002-422-22-2-442-42-2-44-2-22200002-2000000002-200000000000000000000000000000000000000
χ714444-4-44-2-2-44-4-2-2-2-2-2-20010022-1-112-22-2222-22-211-1-10000-113-3-330000-113-3-330000000000000000000000000000000000
χ724444-4-44-2-2-44-4-2-2-2-2-2-20010022-1-112-22-2222-22-211-1-10000-11-333-30000-11-333-30000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222224-41-44-2-2111-2-2-2-2222222-1-1-1-1-2-2221111-1-122-2-2-1-1-1-1110000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-22222-4414-4-2-2111-2-2-2-2222222-1-1-1-122-2-211-1-111-2-222-1-111-1-10000000000000000000000000000000000
χ7544-4-44-4-4-2-244-4-2-22222441-4-4-2-2111222222-2-2-2-2-1-1-1-1-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ7644-4-44-4-4-2-244-4-2-22222-4-4144-2-2111222222-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7744-4-4-44-44-2-4444-2-4-42200-200-4222-24-4-224-2-442-222-2-20000-22000000002-200000000000000000000000000000000000000
χ7844-4-4-44-4-24-444-2422-4-400-2002-422-2-224-4-242-2-4422-2-20000-22000000002-200000000000000000000000000000000000000
χ7944-4-4-44-4-2-2-444-2-222220010022-1-11-22-22-2-22-22-2-1-11100001-13-3-330000-11-333-30000000000000000000000000000000000
χ8044-4-4-44-4-2-2-444-2-222220010022-1-11-22-22-2-22-22-2-1-11100001-1-333-30000-113-3-330000000000000000000000000000000000
χ8144-4-4-4-444-24-444-2-4-42200-200-4222-2-442-24-24-4-2222-2-200002-200000000-2200000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2422-4-400-2002-422-22-2-44-24-224-422-2-200002-200000000-2200000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-222220010022-1-112-22-2-2-2-22-22-1-1110000-113-33-300001-1-33-330000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-222220010022-1-112-22-2-2-2-22-22-1-1110000-11-33-3300001-13-33-30000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i004000000-400000000004i−4i000000000000000000000022−22−2i22i2000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i004000000-400000000004i−4i0000000000000000000000−22222i2−2i2000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i004000000-40000000000−4i4i000000000000000000000022−222i2−2i2000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i004000000-40000000000−4i4i0000000000000000000000−2222−2i22i2000000000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i00-400000040000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i00-400000040000000000−4i4i00000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i00200006-6-200000000002i−2i6i−6i000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i0020000-66-200000000002i−2i−6i6i000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i00-4000000400000000004i−4i00000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i00-4000000400000000004i−4i00000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i00200006-6-20000000000−2i2i−6i6i000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i0020000-66-20000000000−2i2i6i−6i000000000000000000000000000000000000000000000000000000

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