Finite Group Databasebeta

← Group #13181137

Character table — Group #13181137

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444888888888888888888889918181818181818363636363636363636363636363636363636363636367272727272727272
order12234466633661212121212123366666666121212121212121212124422412121212222244446688882424242424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ51111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-11-1-1-111-1-11111-1-1-1-11-11-11-11-1
χ61111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-1-1-1-111-1-1-1-111111-1-111-1-11
χ71111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-1-1-1-111-1-1-1-11111-111-1-111-1
χ81111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-11-11-1-111-1-11111-1-1-1-1-11-11-11-11
χ911-111-1-1-1111111-111-1-111-1-1-1-1-1-1111-11111-1-1-1-1-1-11-11-1-111111-1-1-1-111-11-11-111-1-111-1-1111-1-1-1-11
χ1011-111-1-1-1111111-111-1-111-1-1-1-1-1-1111-11111-1-1-1-1-1-11-11-1-11111-11-1-11-11-1-11-11-1-111-1-11111-11-1-11-1
χ1111-111-1-1-1111111-111-1-111-1-1-1-1-1-1111-11111-1-1-1-1-1-11-11-1-111-1-11-111-111-1-11-11-1-111-1-111-1-11-111-11
χ1211-111-1-1-1111111-111-1-111-1-1-1-1-1-1111-11111-1-1-1-1-1-11-11-1-111-1-1-11111-11-11-11-111-1-111-1-1-1-1-11111-1
χ1311-11-11-1-111111-11-1-11111-1-1-1-1-1-111-11-1-1-1-11111-1-1-111-1-1111-111-11-1-1-111-1-1111-1-1-1-1111-111-11-1-1
χ1411-11-11-1-111111-11-1-11111-1-1-1-1-1-111-11-1-1-1-11111-1-1-111-1-1111-1-1-1-1111-11-111-1-1-11111-1-11-1-1-1-1111
χ1511-11-11-1-111111-11-1-11111-1-1-1-1-1-111-11-1-1-1-11111-1-1-111-1-111-11111-1-1-1-11-111-1-1-11111-1-1-11111-1-1-1
χ1611-11-11-1-111111-11-1-11111-1-1-1-1-1-111-11-1-1-1-11111-1-1-111-1-111-11-1-11-111-111-1-1111-1-1-1-111-11-1-11-111
χ17222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-200000000-2-200000000000000000000
χ182222-2-22222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2000000002200000000000000000000
χ19222-122-1-1-12222-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-100000000
χ20222-122-1-1-12222-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-100000000-1-1-2-2-2-21111111100000000
χ21222-122-1-1-12222-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-21111000000001100003−33−33−33−300000000
χ22222-122-1-1-12222-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2111100000000110000−33−33−33−3300000000
χ23222-1-2-2-1-1-1222211-2-2-2-2-1-122-1-1-1-1-1-1-2-21111111122-2-22-1-1-1-1000000001122-2-2-1-1-1-1111100000000
χ24222-1-2-2-1-1-1222211-2-2-2-2-1-122-1-1-1-1-1-1-2-21111111122-2-22-1-1-1-10000000011-2-2221111-1-1-1-100000000
χ25222-1-2-2-1-1-1222211-2-2-2-2-1-122-1-1-1-1-1-1-2-211111111-2-222-2111100000000-1-100003−33−3−33−3300000000
χ26222-1-2-2-1-1-1222211-2-2-2-2-1-122-1-1-1-1-1-1-2-211111111-2-222-2111100000000-1-10000−33−333−33−300000000
χ2722-222-2-2-2222222-222-2-222-2-2-2-2-2-2222-22222-2-2-2-222-22-222-2-200000000-2200000000000000000000
χ2822-22-22-2-222222-22-2-22222-2-2-2-2-2-222-22-2-2-2-22222222-2-222-2-2000000002-200000000000000000000
χ2922-2-12-211-12222-1122-2-2-1-1-2-21111-1-12-2-1-1-1-1111122-22-2-1-111000000001-100003−3−333−3−3300000000
χ3022-2-12-211-12222-1122-2-2-1-1-2-21111-1-12-2-1-1-1-1111122-22-2-1-111000000001-10000−333−3−333−300000000
χ3122-2-12-211-12222-1122-2-2-1-1-2-21111-1-12-2-1-1-1-11111-2-22-2211-1-100000000-112-22-2-1-111-1-11100000000
χ3222-2-12-211-12222-1122-2-2-1-1-2-21111-1-12-2-1-1-1-11111-2-22-2211-1-100000000-11-22-2211-1-111-1-100000000
χ3322-2-1-2211-122221-1-2-222-1-1-2-21111-1-1-221111-1-1-1-1222-2-2-1-11100000000-1100003−3−33−333−300000000
χ3422-2-1-2211-122221-1-2-222-1-1-2-21111-1-1-221111-1-1-1-1222-2-2-1-11100000000-110000−333−33−3−3300000000
χ3522-2-1-2211-122221-1-2-222-1-1-2-21111-1-1-221111-1-1-1-1-2-2-22211-1-1000000001-12-2-22-1-11111-1-100000000
χ3622-2-1-2211-122221-1-2-222-1-1-2-21111-1-1-221111-1-1-1-1-2-2-22211-1-1000000001-1-222-211-1-1-1-11100000000
χ374444444441-21-24411-2-21-21-211-2-21-2-2111-2-211-2-2000000000002200220000000000000000-1-100-1-1
χ384444444441-21-24411-2-21-21-211-2-21-2-2111-2-211-2-200000000000-2-200-2-20000000000000000110011
χ39444444444-21-2144-2-211-21-21-2-211-211-2-2-211-2-2110000000002200220000000000000000-1-100-1-100
χ40444444444-21-2144-2-211-21-21-2-211-211-2-2-211-2-211000000000-2-200-2-2000000000000000011001100
χ414444-4-44441-21-2-4-4-1-1221-21-211-2-21-22-1-1-122-1-122000000000002-2002-20000000000000000-1100-11
χ424444-4-44441-21-2-4-4-1-1221-21-211-2-21-22-1-1-122-1-12200000000000-2200-2200000000000000001-1001-1
χ434444-4-4444-21-21-4-422-1-1-21-21-2-211-21-1222-1-122-1-10000000002-2002-20000000000000000-1100-1100
χ444444-4-4444-21-21-4-422-1-1-21-21-2-211-21-1222-1-122-1-1000000000-2200-2200000000000000001-1001-100
χ4544-444-4-4-441-21-24-411221-2-12-1-1221-2-2-111-2-2-1-122000000000002-200-220000000000000000-11001-1
χ4644-444-4-4-441-21-24-411221-2-12-1-1221-2-2-111-2-2-1-12200000000000-22002-200000000000000001-100-11
χ4744-444-4-4-44-21-214-4-2-2-1-1-212-122-1-1-2112-2-21122-1-10000000002200-2-20000000000000000-1-1001100
χ4844-444-4-4-44-21-214-4-2-2-1-1-212-122-1-1-2112-2-21122-1-1000000000-2-2002200000000000000001100-1-100
χ4944-44-44-4-441-21-2-44-1-1-2-21-2-12-1-1221-221-1-12211-2-2000000000002200-2-20000000000000000-1-10011
χ5044-44-44-4-441-21-2-44-1-1-2-21-2-12-1-1221-221-1-12211-2-200000000000-2-2002200000000000000001100-1-1
χ5144-44-44-4-44-21-21-442211-212-122-1-1-21-1-222-1-1-2-2110000000002-200-220000000000000000-11001-100
χ5244-44-44-4-44-21-21-442211-212-122-1-1-21-1-222-1-1-2-211000000000-22002-200000000000000001-100-1100
χ534-4040000-444-4-400000044000000-4-400000000004i−4i0004i−4i00000000000000000000000000000000
χ544-4040000-444-4-400000044000000-4-40000000000−4i4i000−4i4i00000000000000000000000000000000
χ554-40-200−2i32i3244-4-4000000-2-200−2i32i3−2i32i32200000000004i−4i000−2i2i23−23000000000000000000000000000000
χ564-40-200−2i32i3244-4-4000000-2-200−2i32i3−2i32i3220000000000−4i4i0002i−2i−2323000000000000000000000000000000
χ574-40-2002i3−2i3244-4-4000000-2-2002i3−2i32i3−2i32200000000004i−4i000−2i2i−2323000000000000000000000000000000
χ584-40-2002i3−2i3244-4-4000000-2-2002i3−2i32i3−2i3220000000000−4i4i0002i−2i23−23000000000000000000000000000000
χ59888-488-4-4-42-42-4-4-422-4-4-122-4-1-122-12-42-1-122-1-122000000000000000000000000000000000000000
χ60888-488-4-4-4-42-42-4-4-4-4222-1-4222-1-12-12-422-1-122-1-1000000000000000000000000000000000000000
χ61888-4-8-8-4-4-42-42-444-2-244-122-4-1-122-124-211-2-211-2-2000000000000000000000000000000000000000
χ62888-4-8-8-4-4-4-42-424444-2-22-1-4222-1-12-1-24-2-211-2-211000000000000000000000000000000000000000
χ6388-8-48-844-42-42-4-442244-12-2411-2-2-12-4-2-1-12211-2-2000000000000000000000000000000000000000
χ6488-8-48-844-4-42-42-44-4-4-2-22-14-2-2-2112-12422-1-1-2-211000000000000000000000000000000000000000
χ6588-8-4-8844-42-42-44-4-2-2-4-4-12-2411-2-2-124211-2-2-1-122000000000000000000000000000000000000000
χ6688-8-4-8844-4-42-424-444222-14-2-2-2112-1-2-4-2-21122-1-1000000000000000000000000000000000000000
χ678-8080000-82-4-24006i−6i002-4000000-24006i−6i000000000000000000000000000000000000000000000
χ688-8080000-82-4-2400−6i6i002-4000000-2400−6i6i000000000000000000000000000000000000000000000
χ698-8080000-8-424-200006i−6i-420000004-2000000006i−6i000000000000000000000000000000000000000
χ708-8080000-8-424-20000−6i6i-420000004-200000000−6i6i000000000000000000000000000000000000000
χ718-80-400−4i34i342-4-24006i−6i00-1200−i3i32i3−2i31-200−3i3i0033−3300000000000000000000000000000000000000000
χ728-80-400−4i34i342-4-2400−6i6i00-1200−i3i32i3−2i31-2003i−3i00−333300000000000000000000000000000000000000000
χ738-80-400−4i34i34-424-200006i−6i2-1002i3−2i3−i3i3-21000033−3300−3i3i000000000000000000000000000000000000000
χ748-80-400−4i34i34-424-20000−6i6i2-1002i3−2i3−i3i3-210000−3333003i−3i000000000000000000000000000000000000000
χ758-80-4004i3−4i342-4-24006i−6i00-1200i3−i3−2i32i31-200−3i3i00−333300000000000000000000000000000000000000000
χ768-80-4004i3−4i342-4-2400−6i6i00-1200i3−i3−2i32i31-2003i−3i0033−3300000000000000000000000000000000000000000
χ778-80-4004i3−4i34-424-200006i−6i2-100−2i32i3i3−i3-210000−333300−3i3i000000000000000000000000000000000000000
χ788-80-4004i3−4i34-424-20000−6i6i2-100−2i32i3i3−i3-21000033−33003i−3i000000000000000000000000000000000000000

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