Finite Group Databasebeta

← Group #13150701

Character table — Group #13150701

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446661212121226612123366666612121212366666666666121212121212121212121212121222444444224444446666661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1111111-1-11-1-11-1-11-111-1-11111-1-111-1-1-1-11-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-11111-1-111-11-1-11-1-11-1-11111-1-11111-1-1-1-1-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-11-11-111-1111-1-1-1-111-1-1-1-11111-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-111-1111-111-1-1-111-1-1-1-111-1-111111-11-1
χ911111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-111
χ1011111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ1111111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1111111-1-1111-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ1211111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ1311111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-11-11-1-1-1111111-1-1-1-111-1-1-111-1
χ1411111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-1-1111-1-111-1-111-1-111-1-11-1-11
χ1511111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11-11-11-1-111-1-111-1-111-1-1111-1-11
χ1611111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111-111-1-1-1-1-1-11111-1-111-111-1
χ172222222222222222222222-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000002002000000-1-10000-1-1-1-1-1-10000
χ182222222222222222222222-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000-200-20000001100001111110000
χ19222222222222222222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000220220000000000000000-1-1-1-1
χ20222222222222222222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-20-2-200000000000000001111
χ212222222-2-22222222-2-2-2-2-22-12-1-1-1221111-1-2-211-1-11111-1-1-122-2-2-1-1-1-111112222000000-200-2000000-1-10000-1-111110000
χ222222222-2-22222222-2-2-2-2-22-12-1-1-1221111-1-2-211-1-11111-1-1-122-2-2-1-1-1-11111-2-2-2-2000000200200000011000011-1-1-1-10000
χ232222222-2-22222222-2-2-2-2-2-12-1222-1-1-2-2-2-2-111-2-2-1-11111-122-1-111-1-1-1-11111000000000002-202-20000000000000000-11-11
χ242222222-2-22222222-2-2-2-2-2-12-1222-1-1-2-2-2-2-111-2-2-1-11111-122-1-111-1-1-1-1111100000000000-220-2200000000000000001-11-1
χ2522222-2-222222-2-2-2-2-2-2-2222-12-1-1-122-1-1-1-1-1-2-211-1-11111-111-2-2221111-1-1-1-122-2-2000000-2002000000-1-100001111-1-10000
χ2622222-2-222222-2-2-2-2-2-2-2222-12-1-1-122-1-1-1-1-1-2-211-1-11111-111-2-2221111-1-1-1-1-2-222000000200-2000000110000-1-1-1-1110000
χ2722222-2-222222-2-2-2-2-2-2-222-12-1222-1-12222-111-2-2-1-11111-1-2-211-1-11111-1-1-1-100000000000220-2-20000000000000000-1-111
χ2822222-2-222222-2-2-2-2-2-2-222-12-1222-1-12222-111-2-2-1-11111-1-2-211-1-11111-1-1-1-100000000000-2-2022000000000000000011-1-1
χ2922222-2-2-2-2222-2-2-2-2222-2-22-12-1-1-1221111-122-1-1-1-1-1-1-1-1-111-2-2-2-21111111122-2-2000000200-2000000-1-1000011-1-1110000
χ3022222-2-2-2-2222-2-2-2-2222-2-22-12-1-1-1221111-122-1-1-1-1-1-1-1-1-111-2-2-2-211111111-2-222000000-2002000000110000-1-111-1-10000
χ3122222-2-2-2-2222-2-2-2-2222-2-2-12-1222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-2111111111111000000000002-20-220000000000000000-111-1
χ3222222-2-2-2-2222-2-2-2-2222-2-2-12-1222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-211111111111100000000000-2202-200000000000000001-1-11
χ332-22-222i−2i002-2-22i2i−2i−2i0000022-22-2-22-20000200002-20000-22i−2i2i−2i002i2i−2i−2i00002-22i−2i00000000000000002-200002i−2i00000000
χ342-22-222i−2i002-2-22i2i−2i−2i0000022-22-2-22-20000200002-20000-22i−2i2i−2i002i2i−2i−2i0000-22−2i2i0000000000000000-220000−2i2i00000000
χ352-22-222i−2i002-2-22i2i−2i−2i000002-1-2-1112-233−3−3-100−i3i3-11−i3−i3i3i31−ii2i−2i00−i−iii33−3−32-22i−2i0000000000000000-110000−ii−i3i33−30000
χ362-22-222i−2i002-2-22i2i−2i−2i000002-1-2-1112-233−3−3-100−i3i3-11−i3−i3i3i31−ii2i−2i00−i−iii33−3−3-22−2i2i00000000000000001-10000i−ii3−i3−330000
χ372-22-222i−2i002-2-22i2i−2i−2i000002-1-2-1112-2−3−333-100i3−i3-11i3i3−i3−i31−ii2i−2i00−i−iii−3−3332-22i−2i0000000000000000-110000−iii3−i3−330000
χ382-22-222i−2i002-2-22i2i−2i−2i000002-1-2-1112-2−3−333-100i3−i3-11i3i3−i3−i31−ii2i−2i00−i−iii−3−333-22−2i2i00000000000000001-10000i−i−i3i33−30000
χ392-22-22−2i2i002-2-2−2i−2i2i2i0000022-22-2-22-20000200002-20000-2−2i2i−2i2i00−2i−2i2i2i00002-2−2i2i00000000000000002-20000−2i2i00000000
χ402-22-22−2i2i002-2-2−2i−2i2i2i0000022-22-2-22-20000200002-20000-2−2i2i−2i2i00−2i−2i2i2i0000-222i−2i0000000000000000-2200002i−2i00000000
χ412-22-22−2i2i002-2-2−2i−2i2i2i000002-1-2-1112-233−3−3-100i3−i3-11i3i3−i3−i31i−i−2i2i00ii−i−i33−3−32-2−2i2i0000000000000000-110000i−ii3−i33−30000
χ422-22-22−2i2i002-2-2−2i−2i2i2i000002-1-2-1112-233−3−3-100i3−i3-11i3i3−i3−i31i−i−2i2i00ii−i−i33−3−3-222i−2i00000000000000001-10000−ii−i3i3−330000
χ432-22-22−2i2i002-2-2−2i−2i2i2i000002-1-2-1112-2−3−333-100−i3i3-11−i3−i3i3i31i−i−2i2i00ii−i−i−3−3332-2−2i2i0000000000000000-110000i−i−i3i3−330000
χ442-22-22−2i2i002-2-2−2i−2i2i2i000002-1-2-1112-2−3−333-100−i3i3-11−i3−i3i3i31i−i−2i2i00ii−i−i−3−333-222i−2i00000000000000001-10000−iii3−i33−30000
χ452-2-222002-2-2-2200000002-222-2-2-22-222-22-220000-2-20000200002-200002-22-200002-22-2000000000000002-22-20000000000
χ462-2-222002-2-2-2200000002-222-2-2-22-222-22-220000-2-20000200002-200002-22-20000-22-2200000000000000-22-220000000000
χ472-2-22200-22-2-220000000-2222-2-2-22-22-22-2220000-2-2000020000-220000-22-2200002-2-22000000000000002-2-220000000000
χ482-2-22200-22-2-220000000-2222-2-2-22-22-22-2220000-2-2000020000-220000-22-220000-222-200000000000000-222-20000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221222211-1-1-1-11-2-2-2-2221111-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-4-4-444-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-4444-4-4-2-2-2-2-2-2-2-222221-2-2-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5344-4-440000-44-4000000000444-44-4-4-4000040000-440000-400000000000000000000000000000000000000000000000000
χ5444-4-440000-44-40000000004-242-22-4-423−23−2323-200002-200002000000000023−23−2323000000000000000000000000000000000000
χ5544-4-440000-44-40000000004-242-22-4-4−232323−23-200002-2000020000000000−232323−23000000000000000000000000000000000000
χ5644-4-440000-44-4000000000-24-2-44-4220000-2−2i32i3002-2−2i32i3−2i32i3200000000000000000000000000000000000000000000000000
χ5744-4-440000-44-4000000000-24-2-44-4220000-22i3−2i3002-22i3−2i32i3−2i3200000000000000000000000000000000000000000000000000
χ5844-4-440000-44-4000000000-2-2-22-222223−23−23231−2i32i300-11i3−i3i3−i3-10000003i−3i3i−3i−333−3000000000000000000000000000000000000
χ5944-4-440000-44-4000000000-2-2-22-222223−23−232312i3−2i300-11−i3i3−i3i3-1000000−3i3i−3i3i−333−3000000000000000000000000000000000000
χ6044-4-440000-44-4000000000-2-2-22-2222−232323−231−2i32i300-11i3−i3i3−i3-1000000−3i3i−3i3i3−3−33000000000000000000000000000000000000
χ6144-4-440000-44-4000000000-2-2-22-2222−232323−2312i3−2i300-11−i3i3−i3i3-10000003i−3i3i−3i3−3−33000000000000000000000000000000000000
χ624-44-444i−4i004-4-44i4i−4i−4i00000-2424-4-4-220000-20000-22000024i−4i−2i2i00−2i−2i2i2i0000000000000000000000000000000000000000
χ634-44-444i−4i004-4-44i4i−4i−4i00000-2-22-222-222323−23−23100−2i32i31-1i3i3−i3−i3-1−2i2i−2i2i00ii−i−i−3−333000000000000000000000000000000000000
χ644-44-444i−4i004-4-44i4i−4i−4i00000-2-22-222-22−23−2323231002i3−2i31-1−i3−i3i3i3-1−2i2i−2i2i00ii−i−i33−3−3000000000000000000000000000000000000
χ654-44-44−4i4i004-4-4−4i−4i4i4i00000-2424-4-4-220000-20000-2200002−4i4i2i−2i002i2i−2i−2i0000000000000000000000000000000000000000
χ664-44-44−4i4i004-4-4−4i−4i4i4i00000-2-22-222-222323−23−231002i3−2i31-1−i3−i3i3i3-12i−2i2i−2i00−i−iii−3−333000000000000000000000000000000000000
χ674-44-44−4i4i004-4-4−4i−4i4i4i00000-2-22-222-22−23−232323100−2i32i31-1i3i3−i3−i3-12i−2i2i−2i00−i−iii33−3−3000000000000000000000000000000000000
χ684-4-444004-4-4-4400000004-44-2-422-2-44-22-22-20000220000-200004-40000-22-22000000000000000000000000000000000000
χ694-4-444004-4-4-4400000004-4-242-4-442-24-44-4-20000220000-20000-220000-22-22000000000000000000000000000000000000
χ704-4-444004-4-4-4400000004-4-2-2222-22-2-22-2210000-1-13-3-3310000-22-333-31-11-1000000000000000000000000000000000000
χ714-4-444004-4-4-4400000004-4-2-2222-22-2-22-2210000-1-1-333-310000-223-3-331-11-1000000000000000000000000000000000000
χ724-4-44400-44-4-440000000-444-2-422-2-442-22-2-20000220000-20000-4400002-22-2000000000000000000000000000000000000
χ734-4-44400-44-4-440000000-44-242-4-442-2-44-44-20000220000-200002-200002-22-2000000000000000000000000000000000000
χ744-4-44400-44-4-440000000-44-2-2222-22-22-22-210000-1-13-3-33100002-23-3-33-11-11000000000000000000000000000000000000
χ754-4-44400-44-4-440000000-44-2-2222-22-22-22-210000-1-1-333-3100002-2-333-3-11-11000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000222222000000-1-1-1-100-1-1-1-10000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-2-2-200000011110011110000000000
χ786666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-22-2000000-1-11100-1-1110000000000
χ796666-366-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-222-2200000011-1-10011-1-10000000000
χ806666-3-6-666-3-3-33333-633-3-30000000000000000000000000000000000000000002222-2-2000000111100-1-1-1-10000000000
χ816666-3-6-666-3-3-33333-633-3-3000000000000000000000000000000000000000000-2-2-2-222000000-1-1-1-10011110000000000
χ826666-3-6-6-6-6-3-3-333336-3-33300000000000000000000000000000000000000000022-2-2-2200000011-1-100-1-1110000000000
χ836666-3-6-6-6-6-3-3-333336-3-333000000000000000000000000000000000000000000-2-2222-2000000-1-1110011-1-10000000000
χ846-6-66-3006-633-3−3i33i3−3i33i30−3i33i3-330000000000000000000000000000000000000000002-22-200000000−i3i3−i3i300-11-110000000000
χ856-6-66-3006-633-3−3i33i3−3i33i30−3i33i3-33000000000000000000000000000000000000000000-22-2200000000i3−i3i3−i3001-11-10000000000
χ866-6-66-3006-633-33i3−3i33i3−3i303i3−3i3-330000000000000000000000000000000000000000002-22-200000000i3−i3i3−i300-11-110000000000
χ876-6-66-3006-633-33i3−3i33i3−3i303i3−3i3-33000000000000000000000000000000000000000000-22-2200000000−i3i3−i3i3001-11-10000000000
χ886-6-66-300-6633-3−3i33i3−3i33i303i3−3i33-30000000000000000000000000000000000000000002-2-2200000000−i3i3i3−i300-111-10000000000
χ896-6-66-300-6633-3−3i33i3−3i33i303i3−3i33-3000000000000000000000000000000000000000000-222-200000000i3−i3−i3i3001-1-110000000000
χ906-6-66-300-6633-33i3−3i33i3−3i30−3i33i33-30000000000000000000000000000000000000000002-2-2200000000i3−i3−i3i300-111-10000000000
χ916-6-66-300-6633-33i3−3i33i3−3i30−3i33i33-3000000000000000000000000000000000000000000-222-200000000−i3i3i3−i3001-1-110000000000
χ921212-12-12-600006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-600006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-12-612i−12i00-666−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-6−12i12i00-6666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000

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