Finite Group Databasebeta

← Group #11785773

Character table — Group #11785773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444442222444444441212121212121212121212121212121288888888
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
χ911-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-111-1-111-1-111-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-111-1-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1111-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-1-1-111-1-11111-1-111-1-1i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1211-1-1-1-111111-1111-1-1-1-1-1-111-1-111111-1-1-1-1-1-111-1-11111-1-111-1-1−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ1411-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1-1-111-1-11111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ1511-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ1611-1-1-1-11111-11111-1-1-1-1-1-111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1−iii−i−i−iiiii−i−i-1-11111-1-1ii−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
χ1922-2-2-2-222222-2222-2-2-2-2-2-222-2-222222-2-2-2-200000000-2-222-2-2220000000000000000000000000000
χ2022-2-2-2-22222-22222-2-2-2-2-2-222-2-22-2-2-2-222220000000022-2-2-2-2220000000000000000000000000000
χ212-222-2-2-2222002-2-22222-2-2-2-2-2-2200000000000000002-22-2000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ222-222-2-2-2222002-2-22222-2-2-2-2-2-2200000000000000002-22-2000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ232-222-2-2-2222002-2-22222-2-2-2-2-2-220000000000000000-22-22000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ242-222-2-2-2222002-2-22222-2-2-2-2-2-220000000000000000-22-22000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ252-22-22-22-22200-2-2-222-2-22-2222-2-20000000000002i−2i2i−2i00002-22-200000000000000002i−2i2i−2i00000000
χ262-22-22-22-22200-2-2-222-2-22-2222-2-2000000000000−2i2i−2i2i00002-22-20000000000000000−2i2i−2i2i00000000
χ272-22-22-22-22200-2-2-222-2-22-2222-2-2000000002i−2i2i−2i00000000-22-220000000000002i−2i2i−2i000000000000
χ282-22-22-22-22200-2-2-222-2-22-2222-2-200000000−2i2i−2i2i00000000-22-22000000000000−2i2i−2i2i000000000000
χ292-2-22-222-22200-2-2-2-2-222-2222-22-20000000000002i−2i−2i2i00002-2-2200000000000000002i−2i−2i2i00000000
χ302-2-22-222-22200-2-2-2-2-222-2222-22-2000000000000−2i2i2i−2i00002-2-220000000000000000−2i2i2i−2i00000000
χ312-2-22-222-22200-2-2-2-2-222-2222-22-2000000002i−2i−2i2i00000000-222-20000000000002i−2i−2i2i000000000000
χ322-2-22-222-22200-2-2-2-2-222-2222-22-200000000−2i2i2i−2i00000000-222-2000000000000−2i2i2i−2i000000000000
χ332-2-2-222-2222002-2-2-2-2-2-222-2-222200000000000000002-2-220000000000000000000000002−2−222−2−22
χ342-2-2-222-2222002-2-2-2-2-2-222-2-222200000000000000002-2-22000000000000000000000000−222−2−222−2
χ352-2-2-222-2222002-2-2-2-2-2-222-2-22220000000000000000-222-20000000000000000000000002−2−22−222−2
χ362-2-2-222-2222002-2-2-2-2-2-222-2-22220000000000000000-222-2000000000000000000000000−222−22−2−22
χ37444444441-24411-21-21-2-2-21-211-211-2-211-2-200000000000000002222-1-1-1-1-1-1-1-10000000000000000
χ38444444441-24411-21-21-2-2-21-211-211-2-211-2-20000000000000000-2-2-2-2111111110000000000000000
χ39444444441-2-4-411-21-21-2-2-21-211-2-1-122-1-122000000000000000022-2-2-1-1-1-111110000000000000000
χ40444444441-2-4-411-21-21-2-2-21-211-2-1-122-1-1220000000000000000-2-2221111-1-1-1-10000000000000000
χ4144444444-2144-2-21-21-2111-21-2-21-2-211-2-2112222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ4244444444-2144-2-21-21-2111-21-2-21-2-211-2-211-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ4344444444-21-4-4-2-21-21-2111-21-2-2122-1-122-1-12222-2-2-2-200000000000000000000-1-1-1-1111100000000
χ4444444444-21-4-4-2-21-21-2111-21-2-2122-1-122-1-1-2-2-2-22222000000000000000000001111-1-1-1-100000000
χ45444-4-44-4-41-200-11-21-2-122-2-12-1123i−3i003i−3i00000000000000000000003−33−3−i3i3−i3i30000000000000000
χ46444-4-44-4-41-200-11-21-2-122-2-12-1123i−3i003i−3i0000000000000000000000−33−33i3−i3i3−i30000000000000000
χ47444-4-44-4-41-200-11-21-2-122-2-12-112−3i3i00−3i3i00000000000000000000003−33−3i3−i3i3−i30000000000000000
χ48444-4-44-4-41-200-11-21-2-122-2-12-112−3i3i00−3i3i0000000000000000000000−33−33−i3i3−i3i30000000000000000
χ49444-4-44-4-44400-44444-4-4-44-4-4-44-40000000000000000000000000000000000000000000000000000
χ5044-444-4-4-41-200-11-2-121-2-22-121-123i−3i00−3i3i0000000000000000000000−i3i3i3−i3−333−30000000000000000
χ5144-444-4-4-41-200-11-2-121-2-22-121-123i−3i00−3i3i0000000000000000000000i3−i3−i3i33−3−330000000000000000
χ5244-444-4-4-41-200-11-2-121-2-22-121-12−3i3i003i−3i0000000000000000000000−i3i3i3−i33−3−330000000000000000
χ5344-444-4-4-41-200-11-2-121-2-22-121-12−3i3i003i−3i0000000000000000000000i3−i3−i3i3−333−30000000000000000
χ5444-444-4-4-44400-444-4-4444-4-4-44-4-40000000000000000000000000000000000000000000000000000
χ5544-4-4-4-4441-24-411-2-12-12221-2-1-1-211-2-2-1-12200000000000000002i−2i2i−2i−i−iii−i−iii0000000000000000
χ5644-4-4-4-4441-24-411-2-12-12221-2-1-1-211-2-2-1-1220000000000000000−2i2i−2i2iii−i−iii−i−i0000000000000000
χ5744-4-4-4-4441-2-4411-2-12-12221-2-1-1-2-1-12211-2-200000000000000002i−2i−2i2i−i−iiiii−i−i0000000000000000
χ5844-4-4-4-4441-2-4411-2-12-12221-2-1-1-2-1-12211-2-20000000000000000−2i2i2i−2iii−i−i−i−iii0000000000000000
χ5944-4-4-4-444-214-4-2-212-12-1-1-1-21221-2-21122-1-122-2-222-2-200000000000000000000-1-111-1-11100000000
χ6044-4-4-4-444-214-4-2-212-12-1-1-1-21221-2-21122-1-1-2-222-2-2220000000000000000000011-1-111-1-100000000
χ6144-4-4-4-444-21-44-2-212-12-1-1-1-2122122-1-1-2-21122-2-2-2-22200000000000000000000-1-11111-1-100000000
χ6244-4-4-4-444-21-44-2-212-12-1-1-1-2122122-1-1-2-211-2-22222-2-20000000000000000000011-1-1-1-11100000000
χ634-44-44-44-4-210022-1-212-11-1-21-22-1003-3003-32i−2i2i−2i2i−2i2i−2i00000000000000000000−ii−ii−ii−ii00000000
χ644-44-44-44-4-210022-1-212-11-1-21-22-1003-3003-3−2i2i−2i2i−2i2i−2i2i00000000000000000000i−ii−ii−ii−i00000000
χ654-44-44-44-4-210022-1-212-11-1-21-22-100-3300-332i−2i2i−2i−2i2i−2i2i00000000000000000000−ii−iii−ii−i00000000
χ664-44-44-44-4-210022-1-212-11-1-21-22-100-3300-33−2i2i−2i2i2i−2i2i−2i00000000000000000000i−ii−i−ii−ii00000000
χ674-4-44-444-4-210022-12-1-21-11-212-2-1003-300-332i−2i−2i2i2i−2i−2i2i00000000000000000000−iii−i−iii−i00000000
χ684-4-44-444-4-210022-12-1-21-11-212-2-1003-300-33−2i2i2i−2i−2i2i2i−2i00000000000000000000i−i−iii−i−ii00000000
χ694-4-44-444-4-210022-12-1-21-11-212-2-100-33003-32i−2i−2i2i−2i2i2i−2i00000000000000000000−iii−ii−i−ii00000000
χ704-4-44-444-4-210022-12-1-21-11-212-2-100-33003-3−2i2i2i−2i2i−2i−2i2i00000000000000000000i−i−ii−iii−i00000000
χ71888-8-88-8-8-42004-42-424-2-224-24-4-20000000000000000000000000000000000000000000000000000
χ7288-888-8-8-8-42004-424-2-422-24-2-44-20000000000000000000000000000000000000000000000000000
χ738-888-8-8-882-4002-242-42-444-24-2-2-40000000000000000000000000000000000000000000000000000
χ748-888-8-8-88-4200-44-2-42-42-2-24-24420000000000000000000000000000000000000000000000000000
χ758-88-88-88-82-400-2-242-4-24-442-42-240000000000000000000000000000000000000000000000000000
χ768-8-88-888-82-400-2-24-242-44-42-4-2240000000000000000000000000000000000000000000000000000
χ778-8-8-888-882-4002-24-24-24-4-4-2422-40000000000000000000000000000000000000000000000000000
χ788-8-8-888-88-4200-44-24-24-2224-2-4-420000000000000000000000000000000000000000000000000000

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