Finite Group Databasebeta

← Group #13148659

Character table — Group #13148659

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444466666666881212121212121212121212121818181818181818242424242424242436363636363636363636363636363636363636363636363672727272
order122234466624121233666666612366666121212121212444412121212666121212121222444444441212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111-11-11
χ51111111111-1-11111111111-1-11-1-11111111-1-111111111-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ61111111111-1-11111111111-1-11-1-11111111-1-111111111-1-1-1-111-1-1-1-1-1-111-11-1111111111-1-1-1-111-1-1-1-1
χ71111111111-1-11111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-111-1-11-1-1-1-111-1-11111111-11-1
χ81111111111-1-11111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-11111-1-1-1-11111-1-1-11-11
χ911111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-11111111-1-1-1-1-111-11-1-1-11-11-1-111-1-1-1-1-1-1111111-1-1
χ1011111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-11111-11-111-1-111-1-1-1-111-1-1-1-111
χ1111111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-11-11-1-11-111-1-1-111111111-1-1-1-11-1-11
χ1211111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-111-11-11-1-1111-1-1-1-11111-1-111-111-1
χ1311111-1-1111-11-1-111111111-111-1-1111-1-1-1-11111-1-11111-1-1-11-1-111111-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1
χ1411111-1-1111-11-1-111111111-111-1-1111-1-1-1-11111-1-11111-1-1-11-1-111-1-11-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ1511111-1-1111-11-1-111111111-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1111-1-111-1-1-11111-1-1-1-111-1-111111-1-11
χ1611111-1-1111-11-1-111111111-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-111-11-11-1111-1-1-1-1111111-1-111-1-1-111-1
χ17222222222222222-1-1-1222-122-122-1-1-1-1-1222200000000-1-1-1-1-1-1-1-102000200220000-1-1000000-1-10-10-1
χ18222222222222222-1-1-1222-122-122-1-1-1-1-1222200000000-1-1-1-1-1-1-1-10-2000-200-2-2000011000000110101
χ1922222222222222-1222-1-1-1222-1-1-1-1-1-122-1-1-1-12222-1-1-1-12-1-12-1-1-1-10022000000000000-1-1-1-1-1-1000000
χ2022222222222222-1222-1-1-1222-1-1-1-1-1-122-1-1-1-1-2-2-2-211112-1-12-1-1-1-100-2-2000000000000111111000000
χ212222222222-2-2222-1-1-1222-1-2-2-1-2-2-1-1-1-1-122-2-2000000001111-1-11102000-2002-2000011000000110-10-1
χ222222222222-2-2222-1-1-1222-1-2-2-1-2-2-1-1-1-1-122-2-2000000001111-1-1110-2000200-220000-1-1000000-1-10101
χ232222222222-2-222-1222-1-1-12-2-2-111-1-1-122-1-1112222-1-1-1-1-211-2-1-11100-2-2000000000000-1-11111000000
χ242222222222-2-222-1222-1-1-12-2-2-111-1-1-122-1-111-2-2-2-21111-211-2-1-111002200000000000011-1-1-1-1000000
χ2522222-2-22222-2-2-22-1-1-1222-12-2-122-1-1-111-2-2-2-200000000-1-1-11111102000-200-22000011000000-1-10-101
χ2622222-2-22222-2-2-22-1-1-1222-12-2-122-1-1-111-2-2-2-200000000-1-1-1111110-20002002-20000-1-100000011010-1
χ2722222-2-22222-2-2-2-1222-1-1-122-2-1-1-1-1-1-1-2-2111122-2-2-1-1-1-12-1-1-2111100-220000000000001111-1-1000000
χ2822222-2-22222-2-2-2-1222-1-1-122-2-1-1-1-1-1-1-2-21111-2-22211112-1-1-21111002-2000000000000-1-1-1-111000000
χ2922222-2-2222-22-2-22-1-1-1222-1-22-1-2-2-1-1-111-2-22200000000111-111-1-102000200-2-20000-1-1000000110-101
χ3022222-2-2222-22-2-22-1-1-1222-1-22-1-2-2-1-1-111-2-22200000000111-111-1-10-2000-20022000011000000-1-1010-1
χ3122222-2-2222-22-2-2-1222-1-1-12-22-111-1-1-1-2-211-1-122-2-2-1-1-1-1-211211-1-1002-200000000000011-1-111000000
χ3222222-2-2222-22-2-2-1222-1-1-12-22-111-1-1-1-2-211-1-1-2-2221111-211211-1-100-22000000000000-1-111-1-1000000
χ332-22-222i−2i-22-2002i−2i22-22-2-22-2002002-2-22i−2i2i−2i002-22i−2i22-2-200002i−2i0000000000000000002i−2i0000000000
χ342-22-222i−2i-22-2002i−2i22-22-2-22-2002002-2-22i−2i2i−2i00-22−2i2i-2-22200002i−2i000000000000000000−2i2i0000000000
χ352-22-222i−2i-22-2002i−2i-12-2211-1-200-1−i3i3-1112i−2i−ii3−32-22i−2i-1-1110−i3i30−ii3−30000000000000000−ii3−3−i3i3000000
χ362-22-222i−2i-22-2002i−2i-12-2211-1-200-1−i3i3-1112i−2i−ii3−3-22−2i2i11-1-10−i3i30−ii3−30000000000000000i−i−33i3−i3000000
χ372-22-222i−2i-22-2002i−2i-12-2211-1-200-1i3−i3-1112i−2i−ii−332-22i−2i-1-1110i3−i30−ii−330000000000000000−ii−33i3−i3000000
χ382-22-222i−2i-22-2002i−2i-12-2211-1-200-1i3−i3-1112i−2i−ii−33-22−2i2i11-1-10i3−i30−ii−330000000000000000i−i3−3−i3i3000000
χ392-22-22−2i2i-22-200−2i2i22-22-2-22-2002002-2-2−2i2i−2i2i002-2−2i2i22-2-20000−2i2i000000000000000000−2i2i0000000000
χ402-22-22−2i2i-22-200−2i2i22-22-2-22-2002002-2-2−2i2i−2i2i00-222i−2i-2-2220000−2i2i0000000000000000002i−2i0000000000
χ412-22-22−2i2i-22-200−2i2i-12-2211-1-200-1−i3i3-111−2i2ii−i−332-2−2i2i-1-1110−i3i30i−i−330000000000000000i−i−33−i3i3000000
χ422-22-22−2i2i-22-200−2i2i-12-2211-1-200-1−i3i3-111−2i2ii−i−33-222i−2i11-1-10−i3i30i−i−330000000000000000−ii3−3i3−i3000000
χ432-22-22−2i2i-22-200−2i2i-12-2211-1-200-1i3−i3-111−2i2ii−i3−32-2−2i2i-1-1110i3−i30i−i3−30000000000000000i−i3−3i3−i3000000
χ442-22-22−2i2i-22-200−2i2i-12-2211-1-200-1i3−i3-111−2i2ii−i3−3-222i−2i11-1-10i3−i30i−i3−30000000000000000−ii−33−i3i3000000
χ4544444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2-2-2-2-200000000-211-211110000000000000000000000000000
χ464444444444-4-444-2-2-2-2-2-2-2-2-4-4122111-2-2-2-222000000002-1-1211-1-10000000000000000000000000000
χ4744444-4-44444-4-4-4-2-2-2-2-2-2-2-24-41-2-211122222200000000-2112-1-1-1-10000000000000000000000000000
χ4844444-4-4444-44-4-4-2-2-2-2-2-2-2-2-441221112222-2-2000000002-1-1-2-1-1110000000000000000000000000000
χ4944-4-44004-4-40000444-44-4-4-400400-44-400000000000000000000000000000000000000000000000000
χ5044-4-44004-4-400004-2-224-4-4200-2002-2200000000000000000000000000000000000023−23000000000000
χ5144-4-44004-4-400004-2-224-4-4200-2002-22000000000000000000000000000000000000−2323000000000000
χ5244-4-44004-4-40000-244-4-222-400-2002-22000000000023−2323−23000000000000000000000000000000000000
χ5344-4-44004-4-40000-244-4-222-400-2002-220000000000−2323−2323000000000000000000000000000000000000
χ544-44-444i−4i-44-4004i−4i4-22-2-4-44200-200-222−2i2i4i−4i00000000000000−2i2i000000000000000000000000000000
χ554-44-444i−4i-44-4004i−4i-2-22-222-22001−2i32i31-1-1−2i2i−2i2i23−23000000000i3−i30i−i−330000000000000000000000000000
χ564-44-444i−4i-44-4004i−4i-2-22-222-220012i3−2i31-1-1−2i2i−2i2i−2323000000000−i3i30i−i3−30000000000000000000000000000
χ574-44-44−4i4i-44-400−4i4i4-22-2-4-44200-200-2222i−2i−4i4i000000000000002i−2i000000000000000000000000000000
χ584-44-44−4i4i-44-400−4i4i-2-22-222-22001−2i32i31-1-12i−2i2i−2i−2323000000000i3−i30−ii3−30000000000000000000000000000
χ594-44-44−4i4i-44-400−4i4i-2-22-222-220012i3−2i31-1-12i−2i2i−2i23−23000000000−i3i30−ii−330000000000000000000000000000
χ604-4-44400-4-44000044-4-4-44-4400400-4-4400000000000000000000000000000000000000000000000000
χ614-4-44400-4-4400004-222-44-4-200-20022-200000000000000000000000000000000000000000000−2i32i30000
χ624-4-44400-4-4400004-222-44-4-200-20022-2000000000000000000000000000000000000000000002i3−2i30000
χ634-4-44400-4-440000-24-4-42-22400-20022-2000000000023−23−2323000000000000000000000000000000000000
χ644-4-44400-4-440000-24-4-42-22400-20022-20000000000−232323−23000000000000000000000000000000000000
χ656666-366-3-3-366-3-300000000-3-300000000000000000000000000002000202200-1-1-1-10000000000-10-10
χ666666-366-3-3-366-3-300000000-3-30000000000000000000000000000-2000-20-2-200111100000000001010
χ676666-366-3-3-3-6-6-3-3000000003300000000000000000000000000002000-202-20011110000000000-10-10
χ686666-366-3-3-3-6-6-3-300000000330000000000000000000000000000-200020-2200-1-1-1-100000000001010
χ696666-3-6-6-3-3-36-63300000000-3300000000000000000000000000002000-20-220011-1-10000000000-1010
χ706666-3-6-6-3-3-36-63300000000-330000000000000000000000000000-2000202-200-1-111000000000010-10
χ716666-3-6-6-3-3-3-6633000000003-30000000000000000000000000000200020-2-200-1-1110000000000-1010
χ726666-3-6-6-3-3-3-6633000000003-30000000000000000000000000000-2000-20220011-1-1000000000010-10
χ7388-8-88008-8-80000-4-4-44-444400200-22-200000000000000000000000000000000000000000000000000
χ748-8-88800-8-880000-4-4444-44-400200-2-2200000000000000000000000000000000000000000000000000
χ751212-12-12-600-666000000000000000000000000000000000000000000000000000023−230000000000000000
χ761212-12-12-600-6660000000000000000000000000000000000000000000000000000−23230000000000000000
χ7712-1212-12-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000
χ7812-1212-12-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000
χ7912-12-1212-60066-6000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ8012-12-1212-60066-60000000000000000000000000000000000000000000000000000002i3−2i300000000000000

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