Finite Group Databasebeta

← Group #11787002

Character table — Group #11787002

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order122222223344666666666666661212121212121212444444444444444444441212121212121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ911-1-11-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-11-1ii−i−i1-11-1i−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1
χ1011-1-11-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-11-1ii−i−i1-1-11−ii11-1-1-1-111−i−iiiii−i−i−i−iii-1-111
χ1111-1-11-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1111-1ii−i−i1-11-1i−i-1-11111-1-1ii−i−i−i−iii−i−iii-1-111
χ1211-1-11-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i−i−iii-1-1111-1ii−i−i1-1-11−ii-1-111-1-111−i−iii−i−iiiii−i−i11-1-1
χ1311-1-11-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1111-1−i−iii1-11-1−ii-1-11111-1-1−i−iiiii−i−iii−i−i-1-111
χ1411-1-11-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iiiii−i−i-1-1111-1−i−iii1-1-11i−i-1-111-1-111ii−i−iii−i−i−i−iii11-1-1
χ1511-1-11-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-11-1−i−iii1-11-1−ii11-1-111-1-1−i−iii−i−iii−i−iii11-1-1
χ1611-1-11-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-11-1−i−iii1-1-11i−i11-1-1-1-111ii−i−i−i−iiiii−i−i-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000
χ1922-2-22-22-2222i−2i2222-2-2-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000
χ2022-2-22-22-222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000
χ212-222-2-22-222002-2-2-22222-2-22-2-2-20000000000002-22-2220000-2-200002-22-200000000000000000000
χ222-222-2-22-222002-2-2-22222-2-22-2-2-2000000000000-22-22220000-2-20000-22-2200000000000000000000
χ232-222-2-22-222002-2-2-22222-2-22-2-2-2000000002i−2i2i−2i0000-2-200002200000000000000002i−2i2i−2i00000000
χ242-222-2-22-222002-2-2-22222-2-22-2-2-200000000−2i2i−2i2i0000-2-20000220000000000000000−2i2i−2i2i00000000
χ252-22-222-2-22200-22-2-222-2-2-22-22-220000000000000000002i−2i2i−2i00000000000000000000002−22−2−i2i2−i2i2
χ262-22-222-2-22200-22-2-222-2-2-22-22-220000000000000000002i−2i2i−2i0000000000000000000000−22−22i2−i2i2−i2
χ272-22-222-2-22200-22-2-222-2-2-22-22-22000000000000000000−2i2i−2i2i00000000000000000000002−22−2i2−i2i2−i2
χ282-22-222-2-22200-22-2-222-2-2-22-22-22000000000000000000−2i2i−2i2i0000000000000000000000−22−22−i2i2−i2i2
χ292-2-222-2-222200-22-2-2-2-2222-2-222-20000000000000000002-2-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ302-2-222-2-222200-22-2-2-2-2222-2-222-20000000000000000002-2-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ312-2-222-2-222200-22-2-2-2-2222-2-222-2000000000000000000-222-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ322-2-222-2-222200-22-2-2-2-2222-2-222-2000000000000000000-222-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ332-2-2-2-222222002-2-2-2-2-2-2-2222-2220000000000002-2-222-20000-2200002-2-2200000000000000000000
χ342-2-2-2-222222002-2-2-2-2-2-2-2222-222000000000000-222-22-20000-220000-222-200000000000000000000
χ352-2-2-2-222222002-2-2-2-2-2-2-2222-222000000002-2-220000-2200002-200000000000000002-2-2200000000
χ362-2-2-2-222222002-2-2-2-2-2-2-2222-22200000000-222-20000-2200002-20000000000000000-222-200000000
χ37444444441-2441-21-21-21-2-21-211-21111-2-2-2-2000000000000000022220000-1-1-1-1-1-1-1-1000000000000
χ38444444441-2441-21-21-21-2-21-211-21111-2-2-2-20000000000000000-2-2-2-2000011111111000000000000
χ39444444441-2-4-41-21-21-21-2-21-211-2-1-1-1-12222000000000000000022-2-20000-1-1-1-11111000000000000
χ40444444441-2-4-41-21-21-21-2-21-211-2-1-1-1-122220000000000000000-2-22200001111-1-1-1-1000000000000
χ4144444444-2144-21-21-21-211-21-2-21-2-2-2-2111122222222000000000000-1-1-1-100000000-1-1-1-100000000
χ4244444444-2144-21-21-21-211-21-2-21-2-2-2-21111-2-2-2-2-2-2-2-2000000000000111100000000111100000000
χ4344444444-21-4-4-21-21-21-211-21-2-212222-1-1-1-12222-2-2-2-2000000000000111100000000-1-1-1-100000000
χ4444444444-21-4-4-21-21-21-211-21-2-212222-1-1-1-1-2-2-2-22222000000000000-1-1-1-100000000111100000000
χ45444-4-4-4-441-200-121-21-2-12-2-12-1123i−3i3i−3i00000000000000000000000000003−33−3−i3i3−i3i3000000000000
χ46444-4-4-4-441-200-121-21-2-12-2-12-1123i−3i3i−3i0000000000000000000000000000−33−33i3−i3i3−i3000000000000
χ47444-4-4-4-441-200-121-21-2-12-2-12-112−3i3i−3i3i00000000000000000000000000003−33−3i3−i3i3−i3000000000000
χ48444-4-4-4-441-200-121-21-2-12-2-12-112−3i3i−3i3i0000000000000000000000000000−33−33−i3i3−i3i3000000000000
χ49444-4-4-4-444400-4-44444-4-44-4-4-44-40000000000000000000000000000000000000000000000000000
χ5044-44-44-4-41-200-121-2-121-2212-1-1-23-3-3300000000000000000000000000003−3−33−333−3000000000000
χ5144-44-44-4-41-200-121-2-121-2212-1-1-23-3-330000000000000000000000000000−333−33−3−33000000000000
χ5244-44-44-4-41-200-121-2-121-2212-1-1-2-333-300000000000000000000000000003−3−333−3−33000000000000
χ5344-44-44-4-41-200-121-2-121-2212-1-1-2-333-30000000000000000000000000000−333−3−333−3000000000000
χ5444-44-44-4-44400-4-444-4-444-44-4-4-440000000000000000000000000000000000000000000000000000
χ5544-4-44-44-41-24i−4i1-21-2-12-122-1-21-12ii−i−i−2i−2i2i2i00000000000000002-22i−2i0000-1-111−i−iii000000000000
χ5644-4-44-44-41-24i−4i1-21-2-12-122-1-21-12ii−i−i−2i−2i2i2i0000000000000000-22−2i2i000011-1-1ii−i−i000000000000
χ5744-4-44-44-41-2−4i4i1-21-2-12-122-1-21-12−i−iii2i2i−2i−2i00000000000000002-2−2i2i0000-1-111ii−i−i000000000000
χ5844-4-44-44-41-2−4i4i1-21-2-12-122-1-21-12−i−iii2i2i−2i−2i0000000000000000-222i−2i000011-1-1−i−iii000000000000
χ5944-4-44-44-4-214i−4i-21-212-12-1-121-22-1−2i−2i2i2iii−i−i2i2i−2i−2i22-2-2000000000000-1-11100000000−i−iii00000000
χ6044-4-44-44-4-214i−4i-21-212-12-1-121-22-1−2i−2i2i2iii−i−i−2i−2i2i2i-2-22200000000000011-1-100000000ii−i−i00000000
χ6144-4-44-44-4-21−4i4i-21-212-12-1-121-22-12i2i−2i−2i−i−iii2i2i−2i−2i-2-22200000000000011-1-100000000−i−iii00000000
χ6244-4-44-44-4-21−4i4i-21-212-12-1-121-22-12i2i−2i−2i−i−iii−2i−2i2i2i22-2-2000000000000-1-11100000000ii−i−i00000000
χ634-444-4-44-4-2100-2-12-1-21-21-12122-100003i−3i3i−3i2i−2i2i−2i2-22-2000000000000-11-1100000000−ii−ii00000000
χ644-444-4-44-4-2100-2-12-1-21-21-12122-100003i−3i3i−3i−2i2i−2i2i-22-220000000000001-11-100000000i−ii−i00000000
χ654-444-4-44-4-2100-2-12-1-21-21-12122-10000−3i3i−3i3i2i−2i2i−2i-22-220000000000001-11-100000000−ii−ii00000000
χ664-444-4-44-4-2100-2-12-1-21-21-12122-10000−3i3i−3i3i−2i2i−2i2i2-22-2000000000000-11-1100000000i−ii−i00000000
χ674-4-4-4-4444-2100-2-12-12-12-11-212-2100003-3-332-2-222-2-22000000000000-111-100000000-111-100000000
χ684-4-4-4-4444-2100-2-12-12-12-11-212-2100003-3-33-222-2-222-20000000000001-1-11000000001-1-1100000000
χ694-4-4-4-4444-2100-2-12-12-12-11-212-210000-333-32-2-22-222-20000000000001-1-1100000000-111-100000000
χ704-4-4-4-4444-2100-2-12-12-12-11-212-210000-333-3-222-22-2-22000000000000-111-1000000001-1-1100000000
χ71888-8-8-8-88-42004-2-42-424-224-24-4-20000000000000000000000000000000000000000000000000000
χ7288-88-88-8-8-42004-2-424-2-42-2-4-24420000000000000000000000000000000000000000000000000000
χ738-888-8-88-82-40024-242-42-44-2-4-2-240000000000000000000000000000000000000000000000000000
χ748-88-888-8-82-400-2-4-242-4-244242-2-40000000000000000000000000000000000000000000000000000
χ758-88-888-8-8-4200424-2-424-2-2-4-2-4420000000000000000000000000000000000000000000000000000
χ768-8-888-8-882-400-2-4-24-242-4-4-242240000000000000000000000000000000000000000000000000000
χ778-8-888-8-88-4200424-24-2-4224-2-4-4-20000000000000000000000000000000000000000000000000000
χ788-8-8-8-88882-40024-24-24-24-42-4-22-40000000000000000000000000000000000000000000000000000

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