Finite Group Databasebeta

← Group #11797239

Character table — Group #11797239

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222224444336666666666121212126612121212121288884444444412121212121212121212121212121212881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111-1-11-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ911-1-11-1-11-1111-111-1-111-1-1-111-1-11-111-1-11-1-1-111i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-111-1-111-1-1
χ1011-1-11-1-11-1111-111-1-111-1-1-111-1-11-111-1-11-1-1-111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-1-1-111-1-111
χ1111-1-11-1-11-1111-111-1-111-1-1-111-1-11-111-1-11-1-1-111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-1-1-111-1-111
χ1211-1-11-1-11-1111-111-1-111-1-1-111-1-11-111-1-11-1-1-111−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-111-1-111-1-1
χ1311-1-1-11-1-11111-1-1-11111-1-1-1-1-111-1111-1-1-11-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1111-1-1-1-111
χ1411-1-1-11-1-11111-1-1-11111-1-1-1-1-111-1111-1-1-11-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-1-11111-1-1
χ1511-1-1-11-1-11111-1-1-11111-1-1-1-1-111-1111-1-1-11-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-1-11111-1-1
χ1611-1-1-11-1-11111-1-1-11111-1-1-1-1-111-1111-1-1-11-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000000000000002−22−22−22−2
χ19222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000−22−22−22−22
χ202222-2-22-2-22222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000002200000000
χ212222-2-2-222-2222-2-2-2-2222222222-2-2-2-2-2-2220000000000000000000000000000002−22−2−22−22
χ222222-2-2-222-2222-2-2-2-2222222222-2-2-2-2-2-222000000000000000000000000000000−22−222−22−2
χ2322-2-22-22-22-222-222-2-222-2-2-2-2-2222-2-2-222-220000000000000000000000000000002−2−222−2−22
χ2422-2-22-22-22-222-222-2-222-2-2-2-2-2222-2-2-222-22000000000000000000000000000000−222−2−222−2
χ2522-2-22-2-22-2222-222-2-222-2-2-222-2-22-222-2-22-222-2-2000000000000000000000000-2200000000
χ2622-2-2-2222-2-222-2-2-22222-2-2-222-2-2-22-2-2222-20000000000000000000000000000002−2−22−222−2
χ2722-2-2-2222-2-222-2-2-22222-2-2-222-2-2-22-2-2222-2000000000000000000000000000000−222−22−2−22
χ2822-2-2-22-2-22222-2-2-22222-2-2-2-2-222-2222-2-2-2222-2-20000000000000000000000002-200000000
χ2944444444441-2111111-2-2-21-2-2-2-2-2-21-21-21100000000222200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-2111111-2-2-21-2-2-2-2-2-21-21-21100000000-2-2-2-200000000111111110000000000
χ314444444444-21-2-2-2-2-2-2111-2111111-21-21-2-2000022220000-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-2-2-2-2-2-2111-2111111-21-21-2-20000-2-2-2-2000011111111000000000000000000
χ33444444-4-4-4-41-2111111-2-2-212222-2-2-12-12-1-100000000000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ34444444-4-4-4-41-2111111-2-2-212222-2-2-12-12-1-100000000000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ35444444-4-4-4-4-21-2-2-2-2-2-2111-2-1-1-1-1112-12-122000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000
χ36444444-4-4-4-4-21-2-2-2-2-2-2111-2-1-1-1-1112-12-122000000000000i3−i3i3−i3i3−i3i3−i3000000000000000000
χ374444-4-44-4-441-21-1-1-1-11-2-2-212222221-21-2-1-10000000022-2-200000000-1-1-1-111110000000000
χ384444-4-44-4-441-21-1-1-1-11-2-2-212222221-21-2-1-100000000-2-222000000001111-1-1-1-10000000000
χ394444-4-44-4-44-21-22222-2111-2-1-1-1-1-1-1-21-2122000022-2-20000-1-1-1-11111000000000000000000
χ404444-4-44-4-44-21-22222-2111-2-1-1-1-1-1-1-21-21220000-2-22200001111-1-1-1-1000000000000000000
χ414444-4-4-444-41-21-1-1-1-11-2-2-21-2-2-2-222-12-121100000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ424444-4-4-444-41-21-1-1-1-11-2-2-21-2-2-2-222-12-121100000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ434444-4-4-444-4-21-22222-2111-21111-1-12-12-1-2-2000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000
χ444444-4-4-444-4-21-22222-2111-21111-1-12-12-1-2-2000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000
χ4544-4-44-44-44-41-2-111-1-11-222-122-2-2-22-121-2-11000000000000000000003−3−333−3−330000000000
χ4644-4-44-44-44-41-2-111-1-11-222-122-2-2-22-121-2-1100000000000000000000−333−3−333−30000000000
χ4744-4-44-44-44-4-212-2-222-21-1-12-1-1111-12-1-212-20000000000003−3−333−3−33000000000000000000
χ4844-4-44-44-44-4-212-2-222-21-1-12-1-1111-12-1-212-2000000000000−333−3−333−3000000000000000000
χ4944-4-44-4-44-441-2-111-1-11-222-1-2-222-221-2-121-1000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ5044-4-44-4-44-441-2-111-1-11-222-1-2-222-221-2-121-100000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ5144-4-44-4-44-44-212-2-222-21-1-1211-1-11-1-212-1-2200002i−2i2i−2i0000−i−iii−i−iii000000000000000000
χ5244-4-44-4-44-44-212-2-222-21-1-1211-1-11-1-212-1-220000−2i2i−2i2i0000ii−i−iii−i−i000000000000000000
χ5344-4-4-4444-4-41-2-1-1-1111-222-1-2-2222-2-121-21-1000000000000000000003−3−33−333−30000000000
χ5444-4-4-4444-4-41-2-1-1-1111-222-1-2-2222-2-121-21-100000000000000000000−333−33−3−330000000000
χ5544-4-4-4444-4-4-21222-2-2-21-1-1211-1-1-112-1-21-220000000000003−3−33−333−3000000000000000000
χ5644-4-4-4444-4-4-21222-2-2-21-1-1211-1-1-112-1-21-22000000000000−333−33−3−33000000000000000000
χ5744-4-4-44-4-4441-2-1-1-1111-222-122-2-22-21-2-12-11000000002i−2i−2i2i00000000−i−iiiii−i−i0000000000
χ5844-4-4-44-4-4441-2-1-1-1111-222-122-2-22-21-2-12-1100000000−2i2i2i−2i00000000ii−i−i−i−iii0000000000
χ5944-4-4-44-4-444-21222-2-2-21-1-12-1-111-11-212-12-200002i−2i−2i2i0000−i−iiiii−i−i000000000000000000
χ6044-4-4-44-4-444-21222-2-2-21-1-12-1-111-11-212-12-20000−2i2i2i−2i0000ii−i−i−i−iii000000000000000000
χ614-44-40000004440000-4-44-4-400000000000022−2222−220000000000000000000000000000000000
χ624-44-40000004440000-4-44-4-4000000000000−2222−22220000000000000000000000000000000000
χ634-4-4400000044-40000-4-4-44400000000000022−22−22220000000000000000000000000000000000
χ644-4-4400000044-40000-4-4-444000000000000−222222−220000000000000000000000000000000000
χ658-88-80000002-426-66-6-24-44-200000000000000000000000000000000000000000000000000
χ668-88-80000002-42-66-66-24-44-200000000000000000000000000000000000000000000000000
χ678-88-8000000-42-400004-22-246i−6i6i−6i0000000000000000000000000000000000000000000000
χ688-88-8000000-42-400004-22-24−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-8-880000002-4-26-6-66-244-4200000000000000000000000000000000000000000000000000
χ708-8-880000002-4-2-666-6-244-4200000000000000000000000000000000000000000000000000
χ718-8-88000000-42400004-2-22-46i−6i−6i6i0000000000000000000000000000000000000000000000
χ728-8-88000000-42400004-2-22-4−6i6i6i−6i0000000000000000000000000000000000000000000000

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