Finite Group Databasebeta

← Group #11787786

Character table — Group #11787786

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order1244222334446612121212366666666612121212121212121212246666666666121212121212121212128888888844441212121212121212242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ911-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ1011-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-1-111
χ1111-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111
χ1211-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-1-111-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ1311-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111
χ1411-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iii−iii−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ1511-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ1611-1-1-1-111111-111-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iii11-1-1-1-111
χ1722222222-12222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-100000000
χ1822222222-12222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200-2-2000011110000111100000000
χ1922222222-12222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000222200-2-2000011110000-1-1-1-100000000
χ2022222222-12222-122-1-1-12-12-1-1-1-12-122-1-12-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000-2-2-2-200220000-1-1-1-10000111100000000
χ212222222-12222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-1000000000000
χ222222222-12222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-200111100001111000000000000
χ232222222-12222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111122220000-2-20011110000-1-1-1-1000000000000
χ242222222-12222-12-1-122-1-12-12-1-1-1-12-1-122-12-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-200002200-1-1-1-100001111000000000000
χ2522222-2-2222-2-22222222-2-22-2-2-22-222-22-2-2-222-2-20000002-2000000002-2000000002-22-200000000000000002-22-200000000
χ2622222-2-2222-2-22222222-2-22-2-2-22-222-22-2-2-222-2-20000002-2000000002-200000000-22-220000000000000000-22-2200000000
χ2722222-2-22-12-2-22-122-1-1-1-212111-1-2-12-2-11-21-1-1110000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i300002-22-200000000−i3i3−i3i30000-11-1100000000
χ2822222-2-22-12-2-22-122-1-1-1-212111-1-2-12-2-11-21-1-1110000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i30000-22-2200000000i3−i3i3−i300001-11-100000000
χ2922222-2-22-12-2-22-122-1-1-1-212111-1-2-12-2-11-21-1-1110000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i300002-22-200000000i3−i3i3−i30000-11-1100000000
χ3022222-2-22-12-2-22-122-1-1-1-212111-1-2-12-2-11-21-1-1110000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i30000-22-2200000000−i3i3−i3i300001-11-100000000
χ312222-22-222-22-22222222-2-2-22-2-222-2-22-22-2-222-2-2000000-2200000000-2200002-22-200000000000000002-22-2000000000000
χ322222-22-222-22-22222222-2-2-22-2-222-2-22-22-2-222-2-2000000-2200000000-220000-22-220000000000000000-22-22000000000000
χ332222-22-2-12-22-2-12-1-122-11-21211-1-1-21-1-221-2-1-11100−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i32-22-200000000−i3i3−i3i30000-11-11000000000000
χ342222-22-2-12-22-2-12-1-122-11-21211-1-1-21-1-221-2-1-11100−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i3-22-2200000000i3−i3i3−i300001-11-1000000000000
χ352222-22-2-12-22-2-12-1-122-11-21211-1-1-21-1-221-2-1-11100i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i32-22-200000000i3−i3i3−i30000-11-11000000000000
χ362222-22-2-12-22-2-12-1-122-11-21211-1-1-21-1-221-2-1-11100i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i3-22-2200000000−i3i3−i3i300001-11-1000000000000
χ372222-2-2222-2-22222222222-2-2222-2-2-2-2-2-2222222000000-2-200000000-2-2000000000000000000000000000000002-22-20000
χ382222-2-2222-2-22222222222-2-2222-2-2-2-2-2-2222222000000-2-200000000-2-200000000000000000000000000000000-22-220000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000002-2-220000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000-222-20000
χ4122-2-22-2-222-22222-2-2-2-22-2-22-2-2-22-22-22-2222-2-2220000002-200000000-2200002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ4222-2-22-2-222-22222-2-2-2-22-2-22-2-2-22-22-22-2222-2-2220000002-200000000-220000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ4322-2-22-2-2-12-222-1211-2-2-11-2-1-211-1121-1-22-1211-1-100−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i32i−2i−2i2i000000003−3−330000−iii−i000000000000
χ4422-2-22-2-2-12-222-1211-2-2-11-2-1-211-1121-1-22-1211-1-100−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i3−2i2i2i−2i00000000−333−30000i−i−ii000000000000
χ4522-2-22-2-2-12-222-1211-2-2-11-2-1-211-1121-1-22-1211-1-100i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i32i−2i−2i2i00000000−333−30000−iii−i000000000000
χ4622-2-22-2-2-12-222-1211-2-2-11-2-1-211-1121-1-22-1211-1-100i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i3−2i2i2i−2i000000003−3−330000i−i−ii000000000000
χ4722-2-2-22-2222-2222-2-2-2-22-2-2-22-2-222-22-22-222-2-222000000-22000000002-2000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4822-2-2-22-2222-2222-2-2-2-22-2-2-22-2-222-22-22-222-2-222000000-22000000002-200000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4922-2-2-22-22-12-222-1-2-211-1-21-2-111-1212-2-112-111-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i300002i−2i−2i2i000000003−3−330000−iii−i00000000
χ5022-2-2-22-22-12-222-1-2-211-1-21-2-111-1212-2-112-111-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i30000−2i2i2i−2i00000000−333−30000i−i−ii00000000
χ5122-2-2-22-22-12-222-1-2-211-1-21-2-111-1212-2-112-111-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i300002i−2i−2i2i00000000−333−30000−iii−i00000000
χ5222-2-2-22-22-12-222-1-2-211-1-21-2-111-1212-2-112-111-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i30000−2i2i2i−2i000000003−3−330000i−i−ii00000000
χ5322-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-2122-1-1-2111112-222-1-111-1-1-1-1-2-211-1-1111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii00000000
χ5422-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-2122-1-1-2111112-222-1-111-1-1-1-1-2-211-1-111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i00000000
χ5522-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-2122-1-1-211111-22-2-21111111122-1-1-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000ii−i−i0000−i−iii00000000
χ5622-2-2-2-222-122-22-1-2-211-12-1-21-1-1-1-2122-1-1-211111-22-2-21111111122-1-1-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000−i−iii0000ii−i−i00000000
χ5722-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-2-1-1221-211112-2-1-12211-1-1-1-111-2-2-1-111112i2i−2i−2i00002i−2i00−i−iii0000−i−iii000000000000
χ5822-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-2-1-1221-211112-2-1-12211-1-1-1-111-2-2-1-11111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i000000000000
χ5922-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-2-1-1221-21111-2211-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i0000−2i2i00ii−i−i0000−i−iii000000000000
χ6022-2-2-2-22-1222-2-1211-2-2-1-121-2-1-1-11-2-1-1221-21111-2211-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i00002i−2i00−i−iii0000ii−i−i000000000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-244-4-4-24-2-244-22-4-2-422-224-224-42-4-2-222000000-2200000000-220000000000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-2122-22-1-112-2-22-222211-1-10000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-2122-22-1-112-2-22-222211-1-100002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ664444-44-44-2-44-44-244-2-2-2-42-4-222-242-442-2-42-2-2220000002-2000000002-20000000000000000000000000000000000000000
χ674444-44-4-2-2-44-4-2-2-2-2-2-21222-2-1-11-222-22-22211-1-100−2i32i300-11i3−i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-21222-2-1-11-222-22-22211-1-1002i3−2i300-11−i3i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ694444-4-444-2-4-444-244-2-2-24-2-42-2-2-2-42-4-4224-2-2-2-2-20000002200000000220000000000000000000000000000000000000000
χ704444-4-44-24-4-44-24-2-244-2-242-4-2-2-22-422-4-4-24-2-2-2-20000002200000000220000000000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-21-2-222111222222-2-21111000000-1-13-3-330000-1-13-3-33000000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-21-2-222111222222-2-21111000000-1-1-333-30000-1-1-333-3000000000000000000000000000000000000
χ7344-4-44444-2-4-4-44-2-4-422-24-24-2-2-2-24-2-4-422-422222000000-2-200000000220000000000000000000000000000000000000000
χ7444-4-4444-24-4-4-4-2422-4-4-2-24-24-2-2-2-2422-4-42-42222000000-2-200000000220000000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2222222-1-1-1-1000000113-3-330000-1-1-333-3000000000000000000000000000000000000
χ7644-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2222222-1-1-1-100000011-333-30000-1-13-3-33000000000000000000000000000000000000
χ7744-4-44-4-44-2-4444-2-4-422-2-424222-2-4-2-442-24-222-2-2000000-22000000002-20000000000000000000000000000000000000000
χ7844-4-44-4-4-2-2-444-2-22222122-22-1-112-22-22-2-2-2-1-11100−2i32i3001-1i3−i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ7944-4-44-4-4-2-2-444-2-22222122-22-1-112-22-22-2-2-2-1-111002i3−2i3001-1−i3i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ8044-4-4-44-4-244-44-2422-4-4-22-42422-2-2-4-224-4-2422-2-20000002-200000000-220000000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-44-2-222221222-2-1-11-22-22-22-2-2-1-1110000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ8244-4-4-44-4-2-24-44-2-222221222-2-1-11-22-22-22-2-2-1-11100002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-222221-2-22211122-2-2-2-222-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-222221-2-22211122-2-2-2-222-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i4000000-4000000004i−4i000000000000000000000000000000000000000000000000000000002-22i−2i
χ864-44i−4i00044000-4-44i−4i4i−4i4000000-4000000004i−4i00000000000000000000000000000000000000000000000000000000-22−2i2i
χ874-4−4i4i00044000-4-4−4i4i−4i4i4000000-400000000−4i4i000000000000000000000000000000000000000000000000000000002-2−2i2i
χ884-4−4i4i00044000-4-4−4i4i−4i4i4000000-400000000−4i4i00000000000000000000000000000000000000000000000000000000-222i−2i
χ898-88i−8i0008-4000-848i−8i−4i4i-4000000400000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-4000000400000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i200006-6-2000000002i−2i6i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000-66-2000000002i−2i−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-40000004000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-40000004000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i200006-6-200000000−2i2i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000-66-200000000−2i2i6i−6i0000000000000000000000000000000000000000000000000000000000

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