Finite Group Databasebeta

← Group #11722539

Character table — Group #11722539

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size112222266669912121212121218181818181818181836363636112222266669912121212121218181818181818181836363636
order1223666336644366666224441212121266121222266666666446666662244412121212661212
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11-1-11111-1-1-1-11111111111111111111-1-11-1-11111-1-1-1-1
χ311111111111-1-11111111-1-11-1-1-1-1-11-11-111111111111-1-11111111-1-11-1-1-1-1-11-11-1
χ411111111111-1-1111111-11-1-11-1-1-1-1-11-1111111111111-1-1111111-11-1-11-1-1-1-1-11-11
χ511-11-1-111111111-1-11-1-11-1-1-1111-1-11-1-1111-11-1-111111111-1-11-1-11-1-1-1111-1-11-1-11
χ611-11-1-111111111-1-11-1-1-11-11-111-1-1-111-111-11-1-111111111-1-11-1-1-11-11-111-1-1-111-1
χ711-11-1-111111-1-11-1-11-1-1111-1-1-1-11111-1-111-11-1-111111-1-11-1-11-1-1111-1-1-1-11111-1-1
χ811-11-1-111111-1-11-1-11-1-1-1-1111-1-111-1-11111-11-1-111111-1-11-1-11-1-1-1-1111-1-111-1-111
χ922222222-12-100-12-1-1-1-10200200000-10-122222222-12-100-12-1-1-1-10200200000-10-1
χ1022222222-12-100-12-1-1-1-10-200-20000010122222222-12-100-12-1-1-1-10-200-200000101
χ112222222-12-1200-1-12-1-1-1200200000-10-102222222-12-1200-1-12-1-1-1200200000-10-10
χ122222222-12-1200-1-12-1-1-1-200-20000010102222222-12-1200-1-12-1-1-1-200-2000001010
χ1322-22-2-222-12-100-1-21-1110200-200000-10122-22-2-222-12-100-1-21-1110200-200000-101
χ1422-22-2-222-12-100-1-21-1110-20020000010-122-22-2-222-12-100-1-21-1110-20020000010-1
χ1522-22-2-22-12-1200-11-2-111200-200000-101022-22-2-22-12-1200-11-2-111200-200000-1010
χ1622-22-2-22-12-1200-11-2-111-20020000010-1022-22-2-22-12-1200-11-2-111-20020000010-10
χ172-20200-222-2-22i−2i200-200000002i−2i0000002-20200-222-2-22i−2i200-200000002i−2i000000
χ182-20200-222-2-2−2i2i200-20000000−2i2i0000002-20200-222-2-2−2i2i200-20000000−2i2i000000
χ194444444-2-2-2-2001-2-211100000000000004444444-2-2-2-2001-2-21110000000000000
χ2044-44-4-44-2-2-2-2001221-1-1000000000000044-44-4-44-2-2-2-2001221-1-10000000000000
χ214-40400-44-2-4200-20020000000000000004-40400-44-2-4200-2002000000000000000
χ224-40400-4-242-400-20020000000000000004-40400-4-242-400-2002000000000000000
χ234-40400-4-2-22200100-13-300000000000004-40400-4-2-22200100-13-30000000000000
χ244-40400-4-2-22200100-1-3300000000000004-40400-4-2-22200100-1-330000000000000
χ25666-3-3-3-300002200000000200-1-1-1-10000666-3-3-3-300002200000000200-1-1-1-10000
χ26666-3-3-3-30000-2-200000000-20011110000666-3-3-3-30000-2-200000000-20011110000
χ2766-6-333-300002200000000-200-1-111000066-6-333-300002200000000-200-1-1110000
χ2866-6-333-30000-2-20000000020011-1-1000066-6-333-30000-2-20000000020011-1-10000
χ296-60-3−3i33i3300002i−2i00000000000−ii3−300006-60-3−3i33i3300002i−2i00000000000−ii3−30000
χ306-60-3−3i33i330000−2i2i00000000000i−i−3300006-60-3−3i33i330000−2i2i00000000000i−i−330000
χ316-60-33i3−3i3300002i−2i00000000000−ii−3300006-60-33i3−3i3300002i−2i00000000000−ii−330000
χ326-60-33i3−3i330000−2i2i00000000000i−i3−300006-60-33i3−3i330000−2i2i00000000000i−i3−30000
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ341111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ3511111111111-1-11111111-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111111-11-11
χ3611111111111-1-1111111-11-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-111111-11-1
χ3711-11-1-111111111-1-11-1-11-1-1-1111-1-11-1-11-1-11-111-1-1-1-1-1-1-1-111-111-1111-1-1-111-111-1
χ3811-11-1-111111111-1-11-1-1-11-11-111-1-1-111-1-1-11-111-1-1-1-1-1-1-1-111-1111-11-11-1-1111-1-11
χ3911-11-1-111111-1-11-1-11-1-1111-1-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-111-1-1-11111-1-1-1-111
χ4011-11-1-111111-1-11-1-11-1-1-1-1111-1-111-1-111-1-11-111-1-1-1-1-111-111-11111-1-1-111-1-111-1-1
χ4122222222-12-100-12-1-1-1-10200200000-10-1-2-2-2-2-2-2-2-21-21001-211110-200-200000101
χ4222222222-12-100-12-1-1-1-10-200-200000101-2-2-2-2-2-2-2-21-21001-211110200200000-10-1
χ432222222-12-1200-1-12-1-1-1200200000-10-10-2-2-2-2-2-2-21-21-20011-2111-200-2000001010
χ442222222-12-1200-1-12-1-1-1-200-2000001010-2-2-2-2-2-2-21-21-20011-2111200200000-10-10
χ4522-22-2-222-12-100-1-21-1110200-200000-101-2-22-222-2-21-210012-11-1-10-20020000010-1
χ4622-22-2-222-12-100-1-21-1110-20020000010-1-2-22-222-2-21-210012-11-1-10200-200000-101
χ4722-22-2-22-12-1200-11-2-111200-200000-1010-2-22-222-21-21-2001-121-1-1-20020000010-10
χ4822-22-2-22-12-1200-11-2-111-20020000010-10-2-22-222-21-21-2001-121-1-1200-200000-1010
χ492-20200-222-2-22i−2i200-200000002i−2i000000-220-2002-2-222−2i2i-20020000000−2i2i000000
χ502-20200-222-2-2−2i2i200-20000000−2i2i000000-220-2002-2-2222i−2i-200200000002i−2i000000
χ514444444-2-2-2-2001-2-21110000000000000-4-4-4-4-4-4-4222200-122-1-1-10000000000000
χ5244-44-4-44-2-2-2-2001221-1-10000000000000-4-44-444-4222200-1-2-2-1110000000000000
χ534-40400-44-2-4200-2002000000000000000-440-4004-424-200200-2000000000000000
χ544-40400-4-242-400-2002000000000000000-440-40042-4-2400200-2000000000000000
χ554-40400-4-2-22200100-13-30000000000000-440-400422-2-200-1001-330000000000000
χ564-40400-4-2-22200100-1-330000000000000-440-400422-2-200-10013-30000000000000
χ57666-3-3-3-300002200000000200-1-1-1-10000-6-6-633330000-2-200000000-20011110000
χ58666-3-3-3-30000-2-200000000-20011110000-6-6-6333300002200000000200-1-1-1-10000
χ5966-6-333-300002200000000-200-1-1110000-6-663-3-330000-2-20000000020011-1-10000
χ6066-6-333-30000-2-20000000020011-1-10000-6-663-3-3300002200000000-200-1-1110000
χ616-60-3−3i33i3300002i−2i00000000000−ii3−30000-66033i3−3i3-30000−2i2i00000000000i−i−330000
χ626-60-3−3i33i330000−2i2i00000000000i−i−330000-66033i3−3i3-300002i−2i00000000000−ii3−30000
χ636-60-33i3−3i3300002i−2i00000000000−ii−330000-6603−3i33i3-30000−2i2i00000000000i−i3−30000
χ646-60-33i3−3i330000−2i2i00000000000i−i3−30000-6603−3i33i3-300002i−2i00000000000−ii−330000

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