Finite Group Databasebeta

← Group #13149443

Character table — Group #13149443

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order122234466644121233666666121236661212121212121212444444444412121212121212121212121222444441212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-111-1-1-1-111-1-111-1-1-1-1-11-11
χ51111111111-1-11111111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-11111-1-111-1-111-1-1-11-11
χ61111111111-1-11111111111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11-11-1-1-1-111111111-1-11-11-1
χ71111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111111-1-111-1-111-1-1-1-1
χ81111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111-11-1-11111-1-1-1-11111-1-1111-1-11
χ1011111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-111-111-1
χ1111111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1
χ1211111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ1311111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111-1-11111111111-1111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-111
χ1411111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111-1-1-1-111-11-1-11-1-111-1-11111-1-1-1-111-1-1
χ1511111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-11-1111-1-1-1-1-1-1111111-111-1
χ1611111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-11-111-11-1-1-11111-1-1-1-111111-1-11
χ17222222222222222-1-12-12-1222-1-1-1-1-1-122222200000022000000-1-1-1-1-1-1-1-102000220000-1-100-1-100000-10-1
χ18222222222222222-1-12-12-1222-1-1-1-1-1-1222222000000-2-2000000-1-1-1-1-1-1-1-10-2000-2-2000011001100000101
χ1922222222222222-122-12-12-122-1-1-1-122-1-1-1-1-1-12222000022-1-1-1-122-1-1-1-1-1-10020000000000-1-100-1-1-1-10000
χ2022222222222222-122-12-12-122-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2111122-1-1-1-1-1-100-20000000000110011110000
χ212222222222-2-2222-1-12-12-12-2-2-1-1-1-1-1-122-2-2-2-2000000220000001111-1-1110-2000-220000-1-100-1-100000101
χ222222222222-2-2222-1-12-12-12-2-2-1-1-1-1-1-122-2-2-2-2000000-2-20000001111-1-111020002-2000011001100000-10-1
χ232222222222-2-222-122-12-12-1-2-2-1-1-1-122-1-1111122220000-2-21111-2-211-1-11100-20000000000-1-100-1-1110000
χ242222222222-2-222-122-12-12-1-2-2-1-1-1-122-1-11111-2-2-2-2000022-1-1-1-1-2-211-1-1110020000000000110011-1-10000
χ2522222-2-22222-2-2-22-1-12-12-122-2-1-1-1-111-2-222-2-200000022000000-111111-1-102000-2-20000-1-1001100000-101
χ2622222-2-22222-2-2-22-1-12-12-122-2-1-1-1-111-2-222-2-2000000-2-2000000-111111-1-10-20002200001100-1-10000010-1
χ2722222-2-22222-2-2-2-122-12-12-12-2-1-1-1-1-2-211-1-11122-2-20000-2-211112-21111-1-10020000000000-1-10011-1-10000
χ2822222-2-22222-2-2-2-122-12-12-12-2-1-1-1-1-2-211-1-111-2-222000022-1-1-1-12-21111-1-100-200000000001100-1-1110000
χ2922222-2-2222-22-2-22-1-12-12-12-22-1-1-1-111-2-2-2-222000000220000001-1-1-111110-20002-20000-1-100110000010-1
χ3022222-2-2222-22-2-22-1-12-12-12-22-1-1-1-111-2-2-2-222000000-2-20000001-1-1-1111102000-2200001100-1-100000-101
χ3122222-2-2222-22-2-2-122-12-12-1-22-1-1-1-1-2-21111-1-122-2-2000022-1-1-1-1-22-1-1111100-20000000000-1-10011110000
χ3222222-2-2222-22-2-2-122-12-12-1-22-1-1-1-1-2-21111-1-1-2-2220000-2-21111-22-1-1111100200000000001100-1-1-1-10000
χ332-22-222i−2i-22-2002i−2i22-2-22-2-22002-22-22i−2i2i−2i00002i−2i2-2000000000000002i−2i0000000000000002i−2i002-2000000
χ342-22-222i−2i-22-2002i−2i22-2-22-2-22002-22-22i−2i2i−2i0000−2i2i-22000000000000002i−2i000000000000000−2i2i00-22000000
χ352-22-222i−2i-22-2002i−2i-12-2121-2-100-11-112i−2i−ii3−3−i3i32i−2i2-200000033−3−300−i3i3−ii3−30000000000000−ii00-11−i3i30000
χ362-22-222i−2i-22-2002i−2i-12-2121-2-100-11-112i−2i−ii3−3−i3i3−2i2i-22000000−3−33300−i3i3−ii3−30000000000000i−i001-1i3−i30000
χ372-22-222i−2i-22-2002i−2i-12-2121-2-100-11-112i−2i−ii−33i3−i32i−2i2-2000000−3−33300i3−i3−ii−330000000000000−ii00-11i3−i30000
χ382-22-222i−2i-22-2002i−2i-12-2121-2-100-11-112i−2i−ii−33i3−i3−2i2i-2200000033−3−300i3−i3−ii−330000000000000i−i001-1−i3i30000
χ392-22-22−2i2i-22-200−2i2i22-2-22-2-22002-22-2−2i2i−2i2i00002i−2i-2200000000000000−2i2i0000000000000002i−2i00-22000000
χ402-22-22−2i2i-22-200−2i2i22-2-22-2-22002-22-2−2i2i−2i2i0000−2i2i2-200000000000000−2i2i000000000000000−2i2i002-2000000
χ412-22-22−2i2i-22-200−2i2i-12-2121-2-100-11-11−2i2ii−i3−3i3−i32i−2i-22000000−3−33300i3−i3i−i3−30000000000000−ii001-1−i3i30000
χ422-22-22−2i2i-22-200−2i2i-12-2121-2-100-11-11−2i2ii−i3−3i3−i3−2i2i2-200000033−3−300i3−i3i−i3−30000000000000i−i00-11i3−i30000
χ432-22-22−2i2i-22-200−2i2i-12-2121-2-100-11-11−2i2ii−i−33−i3i32i−2i-2200000033−3−300−i3i3i−i−330000000000000−ii001-1i3−i30000
χ442-22-22−2i2i-22-200−2i2i-12-2121-2-100-11-11−2i2ii−i−33−i3i3−2i2i2-2000000−3−33300−i3i3i−i−330000000000000i−i00-11−i3i30000
χ452-2-22200-2-22000022-22-2-22-20022-2-20000000000002i−2i2i−2i2-22-22-20000000000000002i−2i002i−2i000000000000
χ462-2-22200-2-22000022-22-2-22-20022-2-20000000000002i−2i−2i2i-22-22-220000000000000002i−2i00−2i2i000000000000
χ472-2-22200-2-22000022-22-2-22-20022-2-2000000000000−2i2i2i−2i-22-22-22000000000000000−2i2i002i−2i000000000000
χ482-2-22200-2-22000022-22-2-22-20022-2-2000000000000−2i2i−2i2i2-22-22-2000000000000000−2i2i00−2i2i000000000000
χ4944444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000000000-2-21111110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-2-2-222220000000000000022-1-111-1-10000000000000000000000000
χ5144444-4-44444-4-4-4-2-2-2-2-2-2-2-24-411112222-2-22200000000000000-22-1-1-1-1110000000000000000000000000
χ5244444-4-4444-44-4-4-2-2-2-2-2-2-2-2-441111222222-2-2000000000000002-211-1-1-1-10000000000000000000000000
χ5344-4-44004-4-40000444-4-44-4-4004-4-440000000000000000000000000000000000000000000000000000000
χ5444-4-44004-4-400004-2-2-4242-400-222-200000000000000000000000000000000000000000000023−2300000000
χ5544-4-44004-4-400004-2-2-4242-400-222-2000000000000000000000000000000000000000000000−232300000000
χ5644-4-44004-4-40000-2442-4-2-4200-222-200000000000000000023−23−2323000000000000000000000000000000000
χ5744-4-44004-4-40000-2442-4-2-4200-222-2000000000000000000−232323−23000000000000000000000000000000000
χ584-44-444i−4i-44-4004i−4i4-22-4-2-42400-22-22−2i2i4i−4i0000000000000000000000−2i2i000000000000000000000000000
χ594-44-444i−4i-44-4004i−4i-2-222-222-2001-11-1−2i2i−2i2i23−23−2i32i30000000000000000i3−i3i−i−330000000000000000000000000
χ604-44-444i−4i-44-4004i−4i-2-222-222-2001-11-1−2i2i−2i2i−23232i3−2i30000000000000000−i3i3i−i3−30000000000000000000000000
χ614-44-44−4i4i-44-400−4i4i4-22-4-2-42400-22-222i−2i−4i4i00000000000000000000002i−2i000000000000000000000000000
χ624-44-44−4i4i-44-400−4i4i-2-222-222-2001-11-12i−2i2i−2i23−232i3−2i30000000000000000−i3i3−ii−330000000000000000000000000
χ634-44-44−4i4i-44-400−4i4i-2-222-222-2001-11-12i−2i2i−2i−2323−2i32i30000000000000000i3−i3−ii3−30000000000000000000000000
χ644-4-44400-4-4400004-2242-4-2-400-2-222000000000000004i−4i0000000000000000000000000−2i2i000000000000
χ654-4-44400-4-4400004-2242-4-2-400-2-22200000000000000−4i4i00000000000000000000000002i−2i000000000000
χ664-4-44400-4-440000-24-4-2-424200-2-22200000000000000004-4-22-22000000000000000000000000000000000
χ674-4-44400-4-440000-24-4-2-424200-2-2220000000000000000-442-22-2000000000000000000000000000000000
χ686666-366-3-3-366-3-300000000-3-300000000000000002200000000000000002002200-1-1-1-10000000000-10-10
χ696666-366-3-3-366-3-300000000-3-30000000000000000-2-20000000000000000-200-2-200111100000000001010
χ706666-366-3-3-3-6-6-3-300000000330000000000000000220000000000000000-2002-200-1-1-1-100000000001010
χ716666-366-3-3-3-6-6-3-300000000330000000000000000-2-20000000000000000200-220011110000000000-10-10
χ726666-3-6-6-3-3-36-63300000000-330000000000000000220000000000000000200-2-200-1-1110000000000-1010
χ736666-3-6-6-3-3-36-63300000000-330000000000000000-2-20000000000000000-200220011-1-1000000000010-10
χ746666-3-6-6-3-3-3-6633000000003-30000000000000000220000000000000000-200-2200-1-111000000000010-10
χ756666-3-6-6-3-3-3-6633000000003-30000000000000000-2-200000000000000002002-20011-1-10000000000-1010
χ7688-8-88008-8-80000-4-4-444-444002-2-220000000000000000000000000000000000000000000000000000000
χ778-8-88800-8-880000-4-44-444-440022-2-20000000000000000000000000000000000000000000000000000000
χ781212-12-12-600-66600000000000000000000000000000000000000000000000000000000023−2300000000000000
χ791212-12-12-600-666000000000000000000000000000000000000000000000000000000000−232300000000000000
χ8012-1212-12-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000000
χ8112-1212-12-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000000
χ8212-12-1212-60066-60000000000000000000000000000004i−4i00000000000000000000000−2i2i0000000000000000
χ8312-12-1212-60066-6000000000000000000000000000000−4i4i000000000000000000000002i−2i0000000000000000

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