Finite Group Databasebeta

← Group #10595333

Character table — Group #10595333

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122222444444466668888121212121212121224363611222224444444666688881212121212121212243636
order1233466346121212122466121212124481212122424122822664666461212121224661212121244812121224241228
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1111-1-1-1-1-111111111111111111111111-1-1111-1-1-1-1-1
χ311111111111111-1-1-1-11111-111-1-1-1111-1-111111111111111-1-1-1-11111-111-1-1-1111-1-1
χ411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ511111111-111-1-111111-11-1-1-11-11-1-1-1-111-111111111-111-1-111111-11-1-1-11-11-1-1-1-111-1
χ611111111-111-1-111111-11-1-1-1-111-1-111-1-1111111111-111-1-111111-11-1-1-1-111-1-111-1-11
χ711111111-111-1-11-1-1-1-1-11-1-111-1-111-1-11-1111111111-111-1-11-1-1-1-1-11-1-111-1-111-1-11-11
χ811111111-111-1-11-1-1-1-1-11-1-11-11-11111-11-111111111-111-1-11-1-1-1-1-11-1-11-11-11111-11-1
χ92222-222202-200-22-2220-200000-200000002222-222202-200-22-2220-200000-20000000
χ102222-222202-200-2-22-2-20-200000200000002222-222202-200-2-22-2-20-20000020000000
χ11222-122-1-12-1-1-1-1222-1-12-1-1-1200-1-1-100000222-122-1-12-1-1-1-1222-1-12-1-1-1200-1-1-100000
χ12222-122-1-12-1-1-1-12-2-2112-1-1-1-20011100000222-122-1-12-1-1-1-12-2-2112-1-1-1-20011100000
χ13222-122-1-1-2-1-111222-1-1-2-111-200-11100000222-122-1-1-2-1-111222-1-1-2-111-200-11100000
χ14222-122-1-1-2-1-1112-2-211-2-1112001-1-100000222-122-1-1-2-1-1112-2-211-2-1112001-1-100000
χ15222-1-22-1-10-11−i3i3-22-2-1-101−i3i30001−i3i300000222-1-22-1-10-11−i3i3-22-2-1-101−i3i30001−i3i300000
χ16222-1-22-1-10-11−i3i3-2-221101−i3i3000-1i3−i300000222-1-22-1-10-11−i3i3-2-221101−i3i3000-1i3−i300000
χ17222-1-22-1-10-11i3−i3-22-2-1-101i3−i30001i3−i300000222-1-22-1-10-11i3−i3-22-2-1-101i3−i30001i3−i300000
χ18222-1-22-1-10-11i3−i3-2-221101i3−i3000-1−i3i300000222-1-22-1-10-11i3−i3-2-221101i3−i3000-1−i3i300000
χ1922-122-12-12-1222-10000-1-1-1-1022000-1-1-10022-122-12-12-1222-10000-1-1-1-1022000-1-1-100
χ2022-122-12-12-1222-10000-1-1-1-10-2-20001110022-122-12-12-1222-10000-1-1-1-10-2-200011100
χ2122-122-12-1-2-12-2-2-100001-11102-200011-10022-122-12-1-2-12-2-2-100001-11102-200011-100
χ2222-122-12-1-2-12-2-2-100001-1110-22000-1-110022-122-12-1-2-12-2-2-100001-1110-22000-1-1100
χ2344-24-4-24-20-2-4002000002000000000000044-24-4-24-20-2-40020000020000000000000
χ2444-2-24-2-2141-2-2-2-20000-21110000000000044-2-24-2-2141-2-2-2-20000-211100000000000
χ2544-2-24-2-21-41-222-2000021-1-10000000000044-2-24-2-21-41-222-2000021-1-100000000000
χ2644-2-2-4-2-21012−2i32i3200000-1i3−i30000000000044-2-2-4-2-21012−2i32i3200000-1i3−i300000000000
χ2744-2-2-4-2-210122i3−2i3200000-1−i3i30000000000044-2-2-4-2-210122i3−2i3200000-1−i3i300000000000
χ284-4440-4-440-4000000000000000000000004-4440-4-440-400000000000000000000000
χ294-44-20-42-202000000−2i32i30000000000000004-44-20-42-202000000−2i32i3000000000000000
χ304-44-20-42-2020000002i3−2i30000000000000004-44-20-42-2020000002i3−2i3000000000000000
χ314-4-2402-4-202000000000000000000i6−i60004-4-2402-4-202000000000000000000i6−i6000
χ324-4-2402-4-202000000000000000000−i6i60004-4-2402-4-202000000000000000000−i6i6000
χ338-8-4-404420-2000000000000000000000008-8-4-404420-200000000000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111
χ3611111111111111-1-1-1-11111-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-111
χ3711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1
χ3811111111-111-1-111111-11-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1111-11-11111-1-11
χ3911111111-111-1-111111-11-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-11111-1-111-1-111-1
χ4011111111-111-1-11-1-1-1-1-11-1-111-1-111-1-11-11-1-1-1-1-1-1-1-11-1-111-111111-111-1-111-1-111-11-1
χ4111111111-111-1-11-1-1-1-1-11-1-11-11-11111-11-1-1-1-1-1-1-1-1-11-1-111-111111-111-11-11-1-1-1-11-11
χ422222-222202-200-22-2220-200000-20000000-2-2-2-22-2-2-20-22002-22-2-2020000020000000
χ432222-222202-200-2-22-2-20-20000020000000-2-2-2-22-2-2-20-220022-2220200000-20000000
χ44222-122-1-12-1-1-1-1222-1-12-1-1-1200-1-1-100000-2-2-21-2-211-21111-2-2-211-2111-20011100000
χ45222-122-1-12-1-1-1-12-2-2112-1-1-1-20011100000-2-2-21-2-211-21111-222-1-1-2111200-1-1-100000
χ46222-122-1-1-2-1-111222-1-1-2-111-200-11100000-2-2-21-2-211211-1-1-2-2-21121-1-12001-1-100000
χ47222-122-1-1-2-1-1112-2-211-2-1112001-1-100000-2-2-21-2-211211-1-1-222-1-121-1-1-200-11100000
χ48222-1-22-1-10-11−i3i3-22-2-1-101−i3i30001−i3i300000-2-2-212-21101-1i3−i32-22110-1i3−i3000-1i3−i300000
χ49222-1-22-1-10-11−i3i3-2-221101−i3i3000-1i3−i300000-2-2-212-21101-1i3−i322-2-1-10-1i3−i30001−i3i300000
χ50222-1-22-1-10-11i3−i3-22-2-1-101i3−i30001i3−i300000-2-2-212-21101-1−i3i32-22110-1−i3i3000-1−i3i300000
χ51222-1-22-1-10-11i3−i3-2-221101i3−i3000-1−i3i300000-2-2-212-21101-1−i3i322-2-1-10-1−i3i30001i3−i300000
χ5222-122-12-12-1222-10000-1-1-1-1022000-1-1-100-2-21-2-21-21-21-2-2-21000011110-2-200011100
χ5322-122-12-12-1222-10000-1-1-1-10-2-200011100-2-21-2-21-21-21-2-2-2100001111022000-1-1-100
χ5422-122-12-1-2-12-2-2-100001-11102-200011-100-2-21-2-21-2121-22210000-11-1-10-22000-1-1100
χ5522-122-12-1-2-12-2-2-100001-1110-22000-1-1100-2-21-2-21-2121-22210000-11-1-102-200011-100
χ5644-24-4-24-20-2-40020000020000000000000-4-42-442-4202400-200000-20000000000000
χ5744-2-24-2-2141-2-2-2-20000-211100000000000-4-422-422-1-4-1222200002-1-1-100000000000
χ5844-2-24-2-21-41-222-2000021-1-100000000000-4-422-422-14-12-2-220000-2-11100000000000
χ5944-2-2-4-2-21012−2i32i3200000-1i3−i300000000000-4-422422-10-1-22i3−2i3-2000001−i3i300000000000
χ6044-2-2-4-2-210122i3−2i3200000-1−i3i300000000000-4-422422-10-1-2−2i32i3-2000001i3−i300000000000
χ614-4440-4-440-400000000000000000000000-44-4-4044-40400000000000000000000000
χ624-44-20-42-202000000−2i32i3000000000000000-44-4204-220-20000002i3−2i3000000000000000
χ634-44-20-42-2020000002i3−2i3000000000000000-44-4204-220-2000000−2i32i3000000000000000
χ644-4-2402-4-202000000000000000000i6−i6000-442-40-2420-2000000000000000000−i6i6000
χ654-4-2402-4-202000000000000000000−i6i6000-442-40-2420-2000000000000000000i6−i6000
χ668-8-4-404420-200000000000000000000000-88440-4-4-20200000000000000000000000

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