Finite Group Databasebeta

← Group #11787328

Character table — Group #11787328

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12222222334466666666666666121212121212121244444444222244442244666612121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-1-111-1111-111-1-1-11-1-1-1-1111-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-11-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-1-1-111-1111-111-1-1-11-1-1-1-1111-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1-11-11-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1111-1-1-111-1111-111-1-1-11-1-1-1-1111-11111-1-1-1-1−i−iii−i−iii11-1-111-1-11-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1211-1-1-111-1111-111-1-1-11-1-1-1-1111-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1-11-11-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311-1-1-111-111-1111-1-1-11-1-1-1-1111-1-1-1-1-11111ii−i−i−i−iii-1-11111-1-11-1-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411-1-1-111-111-1111-1-1-11-1-1-1-1111-1-1-1-1-11111ii−i−i−i−iii-1-11111-1-1-111-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1511-1-1-111-111-1111-1-1-11-1-1-1-1111-1-1-1-1-11111−i−iiiii−i−i-1-11111-1-11-1-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1611-1-1-111-111-1111-1-1-11-1-1-1-1111-1-1-1-1-11111−i−iiiii−i−i-1-11111-1-1-111-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ1922-2-2-222-2222-222-2-2-22-2-2-2-2222-22222-2-2-2-200000000-2-222-2-2220000000000000000000000000000
χ2022-2-2-222-222-2222-2-2-22-2-2-2-2222-2-2-2-2-222220000000022-2-2-2-2220000000000000000000000000000
χ212-222-22-2-222002-222-2-222-2-2-2-22-200000000000000002-22-2000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ222-222-22-2-222002-222-2-222-2-2-2-22-200000000000000002-22-2000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ232-222-22-2-222002-222-2-222-2-2-2-22-20000000000000000-22-22000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ242-222-22-2-222002-222-2-222-2-2-2-22-20000000000000000-22-22000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ252-22-22-22-22200-2-22-22-22-22-222-2-20000000000002i−2i2i−2i00002-22-200000000000000002i−2i2i−2i00000000
χ262-22-22-22-22200-2-22-22-22-22-222-2-2000000000000−2i2i−2i2i00002-22-20000000000000000−2i2i−2i2i00000000
χ272-22-22-22-22200-2-22-22-22-22-222-2-2000000002i−2i2i−2i00000000-22-220000000000002i−2i2i−2i000000000000
χ282-22-22-22-22200-2-22-22-22-22-222-2-200000000−2i2i−2i2i00000000-22-22000000000000−2i2i−2i2i000000000000
χ292-2-22-2-2222200-2-2-22-2-2-22-2222-220000000000002-2-2200002-2-2200000000000000002-2-2200000000
χ302-2-22-2-2222200-2-2-22-2-2-22-2222-22000000000000-222-200002-2-220000000000000000-222-200000000
χ312-2-22-2-2222200-2-2-22-2-2-22-2222-22000000002-2-2200000000-222-20000000000002-2-22000000000000
χ322-2-22-2-2222200-2-2-22-2-2-22-2222-2200000000-222-200000000-222-2000000000000-222-2000000000000
χ332-2-2-222-2222002-2-2-22-2-2-222-2-22200000000000000002-2-220000000000000000000000002−2−222−2−22
χ342-2-2-222-2222002-2-2-22-2-2-222-2-22200000000000000002-2-22000000000000000000000000−222−2−222−2
χ352-2-2-222-2222002-2-2-22-2-2-222-2-2220000000000000000-222-20000000000000000000000002−2−22−222−2
χ362-2-2-222-2222002-2-2-22-2-2-222-2-2220000000000000000-222-2000000000000000000000000−222−22−2−22
χ37444444441-24411111-2-2-2-2-21-2-2111-2-211-2-22222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ38444444441-24411111-2-2-2-2-21-2-2111-2-211-2-2-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ39444444441-2-4-411111-2-2-2-2-21-2-21-1-122-1-1222222-2-2-2-200000000000000000000-1-1-1-1111100000000
χ40444444441-2-4-411111-2-2-2-2-21-2-21-1-122-1-122-2-2-2-22222000000000000000000001111-1-1-1-100000000
χ4144444444-2144-2-2-2-2-211111-211-2-2-211-2-21100000000000000002222-1-1-1-1-1-1-1-10000000000000000
χ4244444444-2144-2-2-2-2-211111-211-2-2-211-2-2110000000000000000-2-2-2-2111111110000000000000000
χ4344444444-21-4-4-2-2-2-2-211111-211-222-1-122-1-1000000000000000022-2-2-1-1-1-111110000000000000000
χ4444444444-21-4-4-2-2-2-2-211111-211-222-1-122-1-10000000000000000-2-2221111-1-1-1-10000000000000000
χ45444-4-4-4-444400-444-4-444-4-44-4-4-440000000000000000000000000000000000000000000000000000
χ46444-4-4-4-44-21002-2-22211-1-112-1-1-2003i−3i003i−3i00000000000000000000−i3i3−i3i33−33−30000000000000000
χ47444-4-4-4-44-21002-2-22211-1-112-1-1-2003i−3i003i−3i00000000000000000000i3−i3i3−i3−33−330000000000000000
χ48444-4-4-4-44-21002-2-22211-1-112-1-1-200−3i3i00−3i3i00000000000000000000−i3i3−i3i3−33−330000000000000000
χ49444-4-4-4-44-21002-2-22211-1-112-1-1-200−3i3i00−3i3i00000000000000000000i3−i3i3−i33−33−30000000000000000
χ5044-444-4-4-44400-44-4444-444-4-4-4-4-40000000000000000000000000000000000000000000000000000
χ5144-444-4-4-4-21002-22-2-21-111-12-1-12003i−3i00−3i3i00000000000000000000−i3i3i3−i33−3−330000000000000000
χ5244-444-4-4-4-21002-22-2-21-111-12-1-12003i−3i00−3i3i00000000000000000000i3−i3−i3i3−333−30000000000000000
χ5344-444-4-4-4-21002-22-2-21-111-12-1-1200−3i3i003i−3i00000000000000000000−i3i3i3−i3−333−30000000000000000
χ5444-444-4-4-4-21002-22-2-21-111-12-1-1200−3i3i003i−3i00000000000000000000i3−i3−i3i33−3−330000000000000000
χ5544-4-4-444-41-24-411-1-1-1-222221-2-2-111-2-2-1-1222i2i−2i−2i2i2i−2i−2i00000000000000000000−i−iii−i−iii00000000
χ5644-4-4-444-41-24-411-1-1-1-222221-2-2-111-2-2-1-122−2i−2i2i2i−2i−2i2i2i00000000000000000000ii−i−iii−i−i00000000
χ5744-4-4-444-41-2-4411-1-1-1-222221-2-2-1-1-12211-2-22i2i−2i−2i−2i−2i2i2i00000000000000000000−i−iiiii−i−i00000000
χ5844-4-4-444-41-2-4411-1-1-1-222221-2-2-1-1-12211-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000ii−i−i−i−iii00000000
χ5944-4-4-444-4-214-4-2-22221-1-1-1-1-2112-2-21122-1-100000000000000002-22-2-1-111-1-1110000000000000000
χ6044-4-4-444-4-214-4-2-22221-1-1-1-1-2112-2-21122-1-10000000000000000-22-2211-1-111-1-10000000000000000
χ6144-4-4-444-4-21-44-2-22221-1-1-1-1-211222-1-1-2-21100000000000000002-2-22-1-11111-1-10000000000000000
χ6244-4-4-444-4-21-44-2-22221-1-1-1-1-211222-1-1-2-2110000000000000000-222-211-1-1-1-1110000000000000000
χ634-44-44-44-41-200-1-11-112-22-221-22-13-3003-3002i−2i2i−2i2i−2i2i−2i00000000000000000000−ii−ii−ii−ii00000000
χ644-44-44-44-41-200-1-11-112-22-221-22-13-3003-300−2i2i−2i2i−2i2i−2i2i00000000000000000000i−ii−ii−ii−i00000000
χ654-44-44-44-41-200-1-11-112-22-221-22-1-3300-33002i−2i2i−2i−2i2i−2i2i00000000000000000000−ii−iii−ii−i00000000
χ664-44-44-44-41-200-1-11-112-22-221-22-1-3300-3300−2i2i−2i2i2i−2i2i−2i00000000000000000000i−ii−i−ii−ii00000000
χ674-4-44-4-4441-200-1-1-11-122-22-21-2213-300-33002-2-222-2-2200000000000000000000-111-1-111-100000000
χ684-4-44-4-4441-200-1-1-11-122-22-21-2213-300-3300-222-2-222-2000000000000000000001-1-111-1-1100000000
χ694-4-44-4-4441-200-1-1-11-122-22-21-221-33003-3002-2-22-222-200000000000000000000-111-11-1-1100000000
χ704-4-44-4-4441-200-1-1-11-122-22-21-221-33003-300-222-22-2-22000000000000000000001-1-11-111-100000000
χ71888-8-8-8-882-400-222-2-2-4-444-4-24420000000000000000000000000000000000000000000000000000
χ7288-888-8-8-82-400-22-222-44-4-44-244-20000000000000000000000000000000000000000000000000000
χ738-888-88-8-82-4002-222-24-4-444-24-4-20000000000000000000000000000000000000000000000000000
χ748-888-88-8-8-4200-44-4-44-222-2-24-2240000000000000000000000000000000000000000000000000000
χ758-88-88-88-8-420044-44-4-22-22-2-42-240000000000000000000000000000000000000000000000000000
χ768-8-88-8-888-4200444-44-2-22-22-42-2-40000000000000000000000000000000000000000000000000000
χ778-8-8-888-882-4002-2-2-22444-4-4-24-420000000000000000000000000000000000000000000000000000
χ788-8-8-888-88-4200-4444-4-2-2-2224-22-40000000000000000000000000000000000000000000000000000

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