Finite Group Databasebeta

← Group #13181136

Character table — Group #13181136

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444888888888888888888889918181818181818363636363636363636363636363636363636363636367272727272727272
order12234461212336666612121233666666612121212121212121212122224466121222222244688881224242424242424246666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ51111-1-11-1-11111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-11-1-111-1-111111-1-1-1-11-111-1-11-1
χ61111-1-11-1-11111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-11-1-1-1111-1-1-1-11111-1111-1-1-11
χ71111-1-11-1-11111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-1-1-1-1111-1-1-1-111111-1-1-1111-1
χ81111-1-11-1-11111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11-111-1-111111-1-1-1-1-11-1-111-11
χ911-111-111111-1-1-111-1-1-111-1-1-1-1-1111-111111-1-1-1-111-1-1111111-11-111-1-1-11-11-1-111-1-111-1-1111-11-1-1-1
χ1011-111-111111-1-1-111-1-1-111-1-1-1-1-1111-111111-1-1-1-111-1-1111111-11-1-1-111-1-11-11-1-1-111-1-111-1-11-11-111
χ1111-111-111111-1-1-111-1-1-111-1-1-1-1-1111-111111-1-1-1-111-1-111111-11-1111-1-1-1-11-11-1-1-111-1-11111-11-11-1-1
χ1211-111-111111-1-1-111-1-1-111-1-1-1-1-1111-111111-1-1-1-111-1-111111-11-11-1-111-11-11-1-111-1-111-1-1-1-1-11-1111
χ1311-11-111-1-111-1-1-11111111-1-1-1-1-111-11-1-1-1-1-11111-1-11-11-1-1111-1-111-1-1111-1-11-111-1-1-1-1111-11-1-11-11
χ1411-11-111-1-111-1-1-11111111-1-1-1-1-111-11-1-1-1-1-11111-1-11-11-1-1111-1-11-111-11-111-1-1-1-11111-1-1-111-1-111-1
χ1511-11-111-1-111-1-1-11111111-1-1-1-1-111-11-1-1-1-1-11111-1-11-11-1-111-111-11-1-111-111-1-1-1-11111-1-11-1-111-1-11
χ1611-11-111-1-111-1-1-11111111-1-1-1-1-111-11-1-1-1-1-11111-1-11-11-1-111-111-1-111-111-1-11-111-1-1-1-111-11-111-11-1
χ17222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-200000000-20000-20000000000000000
χ182222-2-22-2-22222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2222-2-222-2-20000000020000-20000000000000000
χ19222-122-1-1-122-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-100000000-12222-1-1-1-1-1-1-1-1-100000000
χ20222-122-1-1-122-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222-1-1-1-100000000-1-2-2-2-2-11111111100000000
χ21222-122-1-1-122-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-21111000000001000013−33−33−33−300000000
χ22222-122-1-1-122-12222-122-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2111100000000100001−33−33−33−3300000000
χ23222-1-2-2-11122-122221-2-2-1-12-1-1-1-1-1-1-2-2-211111111222-2-2-1-11100000000-1000013−33−3−33−3300000000
χ24222-1-2-2-11122-122221-2-2-1-12-1-1-1-1-1-1-2-2-211111111222-2-2-1-11100000000-100001−33−333−33−300000000
χ25222-1-2-2-11122-122221-2-2-1-12-1-1-1-1-1-1-2-2-211111111-2-2-22211-1-100000000122-2-2-1-1-1-1-1111100000000
χ26222-1-2-2-11122-122221-2-2-1-12-1-1-1-1-1-1-2-2-211111111-2-2-22211-1-1000000001-2-222-11111-1-1-1-100000000
χ2722-222-222222-2-2-222-2-2-222-2-2-2-2-2222-222222-2-2-2-2-2-222-2-2-2-2-2000000002000020000000000000000
χ2822-22-222-2-222-2-2-22222222-2-2-2-2-222-22-2-2-2-2-2222222-22-222-2-200000000-2000020000000000000000
χ2922-2-12-2-1-1-1221-2-2221-2-2-1-1-21111-1-12-22-1-1-1-1111122-2-22-1-1-1-10000000012-22-21-1-111-1-11100000000
χ3022-2-12-2-1-1-1221-2-2221-2-2-1-1-21111-1-12-22-1-1-1-1111122-2-22-1-1-1-1000000001-22-22111-1-111-1-100000000
χ3122-2-12-2-1-1-1221-2-2221-2-2-1-1-21111-1-12-22-1-1-1-11111-2-222-2111100000000-10000-13−3−333−3−3300000000
χ3222-2-12-2-1-1-1221-2-2221-2-2-1-1-21111-1-12-22-1-1-1-11111-2-222-2111100000000-10000-1−333−3−333−300000000
χ3322-2-1-22-111221-2-222-122-1-1-21111-1-1-22-21111-1-1-1-122-22-2-1-1110000000010000-13−3−33−333−300000000
χ3422-2-1-22-111221-2-222-122-1-1-21111-1-1-22-21111-1-1-1-122-22-2-1-1110000000010000-1−333−33−3−3300000000
χ3522-2-1-22-111221-2-222-122-1-1-21111-1-1-22-21111-1-1-1-1-2-22-2211-1-100000000-12-2-221-1-11111-1-100000000
χ3622-2-1-22-111221-2-222-122-1-1-21111-1-1-22-21111-1-1-1-1-2-22-2211-1-100000000-1-222-2111-1-1-1-11100000000
χ374444444441-24-2-2-214111-2111-2-21-2-2-2111-2-211-2-20000000000000222200000000000000-1-10000-1-1
χ384444444441-24-2-2-214111-2111-2-21-2-2-2111-2-211-2-20000000000000-2-2-2-20000000000000011000011
χ39444444444-214111-24-2-2-21-2-2-211-2111-2-2-211-2-211000000000222200000000000000000000-1-1-1-100
χ40444444444-214111-24-2-2-21-2-2-211-2111-2-2-211-2-211000000000-2-2-2-200000000000000000000111100
χ414444-4-44-4-41-24-2-2-21-4-1-11-2111-2-21-222-1-1-122-1-12200000000000002-22-200000000000000-110000-11
χ424444-4-44-4-41-24-2-2-21-4-1-11-2111-2-21-222-1-1-122-1-1220000000000000-22-22000000000000001-100001-1
χ434444-4-44-4-4-214111-2-422-21-2-2-211-21-1-1222-1-122-1-100000000022-2-200000000000000000000-1-11100
χ444444-4-44-4-4-214111-2-422-21-2-2-211-21-1-1222-1-122-1-1000000000-2-2220000000000000000000011-1-100
χ4544-444-44441-2-422-21-4-1-11-2-1-1-1221-2-22111-2-2-1-122000000000000022-2-200000000000000-1-1000011
χ4644-444-44441-2-422-21-4-1-11-2-1-1-1221-2-22111-2-2-1-1220000000000000-2-22200000000000000110000-1-1
χ4744-444-4444-21-4-1-11-2-422-21222-1-1-211-1-2-2-21122-1-10000000002-22-200000000000000000000-11-1100
χ4844-444-4444-21-4-1-11-2-422-21222-1-1-211-1-2-2-21122-1-1000000000-22-22000000000000000000001-11-100
χ4944-44-444-4-41-2-422-214111-2-1-1-1221-22-2-1-1-12211-2-200000000000002-2-2200000000000000-1100001-1
χ5044-44-444-4-41-2-422-214111-2-1-1-1221-22-2-1-1-12211-2-20000000000000-222-2000000000000001-10000-11
χ5144-44-444-4-4-21-4-1-11-24-2-2-21222-1-1-21-11222-1-1-2-2110000000002-2-2200000000000000000000-111-100
χ5244-44-444-4-4-21-4-1-11-24-2-2-21222-1-1-21-11222-1-1-2-211000000000-222-2000000000000000000001-1-1100
χ534-40400-40044000-4-40004400000-4-4000000000004-40004-400000000000000000000000000000000
χ544-40400-40044000-4-40004400000-4-400000000000-44000-4400000000000000000000000000000000
χ554-40-200223−2344000-4-4000-2-2000002200023−2323−2300004-4000-2223−23000000000000000000000000000000
χ564-40-200223−2344000-4-4000-2-2000002200023−2323−230000-440002-2−2323000000000000000000000000000000
χ574-40-2002−232344000-4-4000-2-20000022000−2323−232300004-4000-22−2323000000000000000000000000000000
χ584-40-2002−232344000-4-4000-2-20000022000−2323−23230000-440002-223−23000000000000000000000000000000
χ59888-488-4-4-42-4-4-4-4-42-422-122-1-122-12-4-42-1-122-1-122000000000000000000000000000000000000000
χ60888-488-4-4-4-42-4222-4-4-4-42-1-422-1-12-122-422-1-122-1-1000000000000000000000000000000000000000
χ61888-4-8-8-4442-4-4-4-4-424-2-2-122-1-122-1244-211-2-211-2-2000000000000000000000000000000000000000
χ62888-4-8-8-444-42-4222-44442-1-422-1-12-1-2-24-2-211-2-211000000000000000000000000000000000000000
χ6388-8-48-8-4-4-42-4444-424-2-2-12-211-2-2-12-442-1-12211-2-2000000000000000000000000000000000000000
χ6488-8-48-8-4-4-4-424-2-22-44442-14-2-2112-12-2-422-1-1-2-211000000000000000000000000000000000000000
χ6588-8-4-88-4442-4444-42-422-12-211-2-2-124-4-211-2-2-1-122000000000000000000000000000000000000000
χ6688-8-4-88-444-424-2-22-4-4-4-42-14-2-2112-1-224-2-21122-1-1000000000000000000000000000000000000000
χ678-80800-8002-40004-206i−6i2-400000-2400000006i−6i00000000000000000000000000000000000000000
χ688-80800-8002-40004-20−6i6i2-400000-240000000−6i6i00000000000000000000000000000000000000000
χ698-80800-800-4206-6-24000-420006-64-200000000000000000000000000000000000000000000000000
χ708-80800-800-420-66-24000-42000-664-200000000000000000000000000000000000000000000000000
χ718-80-400443−432-40004-206i−6i-120−3i33i3001-20003−3−2323−3i3i00000000000000000000000000000000000000000
χ728-80-400443−432-40004-20−6i6i-1203i3−3i3001-20003−3−23233i−3i00000000000000000000000000000000000000000
χ738-80-400443−43-4206-6-240002-1000-33-21000−23233−30033−33000000000000000000000000000000000000000
χ748-80-400443−43-420-66-240002-10003-3-21000−23233−300−3333000000000000000000000000000000000000000
χ758-80-4004−43432-40004-206i−6i-1203i3−3i3001-2000−3323−23−3i3i00000000000000000000000000000000000000000
χ768-80-4004−43432-40004-20−6i6i-120−3i33i3001-2000−3323−233i−3i00000000000000000000000000000000000000000
χ778-80-4004−4343-4206-6-240002-1000-33-2100023−23−3300−3333000000000000000000000000000000000000000
χ788-80-4004−4343-420-66-240002-10003-3-2100023−23−330033−33000000000000000000000000000000000000000

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