Finite Group Databasebeta

← Group #11867873

Character table — Group #11867873

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444488888888888121212121818242424242424242424243672112222222444444444488888888888121212121818242424242424242424243672
order12233446636666612121212266666666121224888868812242424242424842226644666666661212121226666666612122488886881224242424242484
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111-1111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-11-1-1-11111-1-1111111111111111111111111111111-1-111-1-1-1-11-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-11-11111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-11
χ71111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-11111-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-11111-1-1-11
χ81111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1-1111-11111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1-1111-1
χ922222-2-222222222-2-2-2-2000000000-2-2002i−2i000000002i−2i000022222-2-222222222-2-2-2-2000000000-2-2002i−2i000000002i−2i0000
χ1022222-2-222222222-2-2-2-2000000000-2-200−2i2i00000000−2i2i000022222-2-222222222-2-2-2-2000000000-2-200−2i2i00000000−2i2i0000
χ112222-1222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-1220000-120-1-1-10000002222-1222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-1220000-120-1-1-1000000
χ122222-1222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-200001-201110000002222-1222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-200001-20111000000
χ132222-1222-1-12-1-1-1-1-122-1-2-2-2111111-1-1220000-1-20-1110000002222-1222-1-12-1-1-1-1-122-1-2-2-2111111-1-1220000-1-20-111000000
χ142222-1222-1-12-1-1-1-1-122-1-2-2-2111111-1-1-2-200001201-1-10000002222-1222-1-12-1-1-1-1-122-1-2-2-2111111-1-1-2-200001201-1-1000000
χ15222-1222-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002200002000-1-1-1-100222-1222-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002200002000-1-1-1-100
χ16222-1222-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-20000-2000111100222-1222-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-20000-2000111100
χ17222-1222-12-1-12-1-1-12-1-12-211-2-21111-1-100220000-2000-1-11100222-1222-12-1-12-1-1-12-1-12-211-2-21111-1-100220000-2000-1-11100
χ18222-1222-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-20000200011-1-100222-1222-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-20000200011-1-100
χ19222-12-2-2-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i311002i−2i00000000−ii3−300222-12-2-2-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i311002i−2i00000000−ii3−300
χ20222-12-2-2-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i31100−2i2i00000000i−i−3300222-12-2-2-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i31100−2i2i00000000i−i−3300
χ21222-12-2-2-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i311002i−2i00000000−ii−3300222-12-2-2-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i311002i−2i00000000−ii−3300
χ22222-12-2-2-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i31100−2i2i00000000i−i3−300222-12-2-2-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i31100−2i2i00000000i−i3−300
χ2322-2222-2222-2-2-2-22-22-220000000002-22-20000200-20000000022-2222-2222-2-2-2-22-22-220000000002-22-20000200-200000000
χ2422-2222-2222-2-2-2-22-22-220000000002-2-220000-20020000000022-2222-2222-2-2-2-22-22-220000000002-2-220000-200200000000
χ2522-222-22222-2-2-2-222-22-2000000000-220000220000000000-2022-222-22222-2-2-2-222-22-2000000000-220000220000000000-20
χ2622-222-22222-2-2-2-222-22-2000000000-220000-2-200000000002022-222-22222-2-2-2-222-22-2000000000-220000-2-2000000000020
χ2722-22-12-22-1-1-2111-112-2-1000−i3i3−i3i3−i3i3-112-20000-1001−i3i300000022-22-12-22-1-1-2111-112-2-1000−i3i3−i3i3−i3i3-112-20000-1001−i3i3000000
χ2822-22-12-22-1-1-2111-112-2-1000−i3i3−i3i3−i3i3-11-220000100-1i3−i300000022-22-12-22-1-1-2111-112-2-1000−i3i3−i3i3−i3i3-11-220000100-1i3−i3000000
χ2922-22-12-22-1-1-2111-112-2-1000i3−i3i3−i3i3−i3-112-20000-1001i3−i300000022-22-12-22-1-1-2111-112-2-1000i3−i3i3−i3i3−i3-112-20000-1001i3−i3000000
χ3022-22-12-22-1-1-2111-112-2-1000i3−i3i3−i3i3−i3-11-220000100-1−i3i300000022-22-12-22-1-1-2111-112-2-1000i3−i3i3−i3i3−i3-11-220000100-1−i3i3000000
χ314444-2-4-44-2-24-2-2-2-22-4-42000000000220000000000000000004444-2-4-44-2-24-2-2-2-22-4-4200000000022000000000000000000
χ32444-2-244-2-21-2-2111-2-2-2-24-2-2-2-2111111000000000000000000444-2-244-2-21-2-2111-2-2-2-24-2-2-2-2111111000000000000000000
χ33444-2-244-2-21-2-2111-2-2-2-2-42222-1-1-1-111000000000000000000444-2-244-2-21-2-2111-2-2-2-2-42222-1-1-1-111000000000000000000
χ34444-2-2-4-4-2-21-2-211122220−2i32i300i3i3−i3−i3-1-1000000000000000000444-2-2-4-4-2-21-2-211122220−2i32i300i3i3−i3−i3-1-1000000000000000000
χ35444-2-2-4-4-2-21-2-2111222202i3−2i300−i3−i3i3i3-1-1000000000000000000444-2-2-4-4-2-21-2-2111222202i3−2i300−i3−i3i3i3-1-1000000000000000000
χ3644-44-2-444-2-2-4222-2-2-4420000000002-200000000000000000044-44-2-444-2-2-4222-2-2-4420000000002-2000000000000000000
χ3744-4-244-4-24-22-422-2-4-224000000000-2200000000000000000044-4-244-4-24-22-422-2-4-224000000000-22000000000000000000
χ3844-4-24-44-24-22-422-242-2-40000000002-200000000000000000044-4-24-44-24-22-422-242-2-40000000002-2000000000000000000
χ3944-4-2-24-4-2-2122-1-112-22-2000−2i32i3i3−i3i3−i31-100000000000000000044-4-2-24-4-2-2122-1-112-22-2000−2i32i3i3−i3i3−i31-1000000000000000000
χ4044-4-2-24-4-2-2122-1-112-22-20002i3−2i3−i3i3−i3i31-100000000000000000044-4-2-24-4-2-2122-1-112-22-20002i3−2i3−i3i3−i3i31-1000000000000000000
χ4144-4-2-2-44-2-2122-1-11-22-22000003-3-33-1100000000000000000044-4-2-2-44-2-2122-1-11-22-22000003-3-33-11000000000000000000
χ4244-4-2-2-44-2-2122-1-11-22-2200000-333-3-1100000000000000000044-4-2-2-44-2-2122-1-11-22-2200000-333-3-11000000000000000000
χ434-404400-4-440000-40000000000000000000−2i22i20000000000004-404400-4-440000-40000000000000000000−2i22i2000000000000
χ444-404400-4-440000-400000000000000000002i2−2i20000000000004-404400-4-440000-400000000000000000002i2−2i2000000000000
χ458-808-400-84-4000040000000000000000000000000000000008-808-400-84-400004000000000000000000000000000000000
χ468-80-48004-8-4000040000000000000000000000000000000008-80-48004-8-400004000000000000000000000000000000000
χ478-80-4-400442006-6-20000000000000000000000000000000008-80-4-400442006-6-2000000000000000000000000000000000
χ488-80-4-40044200-66-20000000000000000000000000000000008-80-4-40044200-66-2000000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111111111111111111111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1111111
χ51111111111111111111111111111111-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111-1-1-1-111
χ52111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1
χ531111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-111-1-111-11
χ541111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-11-1-11111-1-11-1
χ551111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-111-1-1-1-1111-1
χ561111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-11-1-11-1-111-1-1-11
χ5722222-2-222222222-2-2-2-2000000000-2-2002i−2i000000002i−2i0000-2-2-2-2-222-2-2-2-2-2-2-2-222220000000002200−2i2i00000000−2i2i0000
χ5822222-2-222222222-2-2-2-2000000000-2-200−2i2i00000000−2i2i0000-2-2-2-2-222-2-2-2-2-2-2-2-2222200000000022002i−2i000000002i−2i0000
χ592222-1222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-1220000-120-1-1-1000000-2-2-2-21-2-2-211-211111-2-21-2-2-211111111-2-200001-20111000000
χ602222-1222-1-12-1-1-1-1-122-1222-1-1-1-1-1-1-1-1-2-200001-20111000000-2-2-2-21-2-2-211-211111-2-21-2-2-211111111220000-120-1-1-1000000
χ612222-1222-1-12-1-1-1-1-122-1-2-2-2111111-1-1220000-1-20-111000000-2-2-2-21-2-2-211-211111-2-21222-1-1-1-1-1-111-2-200001201-1-1000000
χ622222-1222-1-12-1-1-1-1-122-1-2-2-2111111-1-1-2-200001201-1-1000000-2-2-2-21-2-2-211-211111-2-21222-1-1-1-1-1-111220000-1-20-111000000
χ63222-1222-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-1002200002000-1-1-1-100-2-2-21-2-2-21-211-2111-211-2-211-2-211111100-2-20000-2000111100
χ64222-1222-12-1-12-1-1-12-1-122-1-122-1-1-1-1-1-100-2-20000-2000111100-2-2-21-2-2-21-211-2111-211-2-211-2-2111111002200002000-1-1-1-100
χ65222-1222-12-1-12-1-1-12-1-12-211-2-21111-1-100220000-2000-1-11100-2-2-21-2-2-21-211-2111-211-22-1-122-1-1-1-11100-2-20000200011-1-100
χ66222-1222-12-1-12-1-1-12-1-12-211-2-21111-1-100-2-20000200011-1-100-2-2-21-2-2-21-211-2111-211-22-1-122-1-1-1-11100220000-2000-1-11100
χ67222-12-2-2-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i311002i−2i00000000−ii3−300-2-2-21-2221-211-21112-1-120i3−i300i3i3−i3−i3-1-100−2i2i00000000i−i−3300
χ68222-12-2-2-12-1-12-1-1-1-211-20−i3i300−i3−i3i3i31100−2i2i00000000i−i−3300-2-2-21-2221-211-21112-1-120i3−i300i3i3−i3−i3-1-1002i−2i00000000−ii3−300
χ69222-12-2-2-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i311002i−2i00000000−ii−3300-2-2-21-2221-211-21112-1-120−i3i300−i3−i3i3i3-1-100−2i2i00000000i−i3−300
χ70222-12-2-2-12-1-12-1-1-1-211-20i3−i300i3i3−i3−i31100−2i2i00000000i−i3−300-2-2-21-2221-211-21112-1-120−i3i300−i3−i3i3i3-1-1002i−2i00000000−ii−3300
χ7122-2222-2222-2-2-2-22-22-220000000002-22-20000200-200000000-2-22-2-2-22-2-2-22222-22-22-2000000000-22-220000-200200000000
χ7222-2222-2222-2-2-2-22-22-220000000002-2-220000-200200000000-2-22-2-2-22-2-2-22222-22-22-2000000000-222-20000200-200000000
χ7322-222-22222-2-2-2-222-22-2000000000-220000220000000000-20-2-22-2-22-2-2-2-22222-2-22-220000000002-20000-2-2000000000020
χ7422-222-22222-2-2-2-222-22-2000000000-220000-2-2000000000020-2-22-2-22-2-2-2-22222-2-22-220000000002-20000220000000000-20
χ7522-22-12-22-1-1-2111-112-2-1000−i3i3−i3i3−i3i3-112-20000-1001−i3i3000000-2-22-21-22-2112-1-1-11-1-221000i3−i3i3−i3i3−i31-1-220000100-1i3−i3000000
χ7622-22-12-22-1-1-2111-112-2-1000−i3i3−i3i3−i3i3-11-220000100-1i3−i3000000-2-22-21-22-2112-1-1-11-1-221000i3−i3i3−i3i3−i31-12-20000-1001−i3i3000000
χ7722-22-12-22-1-1-2111-112-2-1000i3−i3i3−i3i3−i3-112-20000-1001i3−i3000000-2-22-21-22-2112-1-1-11-1-221000−i3i3−i3i3−i3i31-1-220000100-1−i3i3000000
χ7822-22-12-22-1-1-2111-112-2-1000i3−i3i3−i3i3−i3-11-220000100-1−i3i3000000-2-22-21-22-2112-1-1-11-1-221000−i3i3−i3i3−i3i31-12-20000-1001i3−i3000000
χ794444-2-4-44-2-24-2-2-2-22-4-4200000000022000000000000000000-4-4-4-4244-422-42222-244-2000000000-2-2000000000000000000
χ80444-2-244-2-21-2-2111-2-2-2-24-2-2-2-2111111000000000000000000-4-4-422-4-422-122-1-1-12222-42222-1-1-1-1-1-1000000000000000000
χ81444-2-244-2-21-2-2111-2-2-2-2-42222-1-1-1-111000000000000000000-4-4-422-4-422-122-1-1-122224-2-2-2-21111-1-1000000000000000000
χ82444-2-2-4-4-2-21-2-211122220−2i32i300i3i3−i3−i3-1-1000000000000000000-4-4-4224422-122-1-1-1-2-2-2-202i3−2i300−i3−i3i3i311000000000000000000
χ83444-2-2-4-4-2-21-2-2111222202i3−2i300−i3−i3i3i3-1-1000000000000000000-4-4-4224422-122-1-1-1-2-2-2-20−2i32i300i3i3−i3−i311000000000000000000
χ8444-44-2-444-2-2-4222-2-2-4420000000002-2000000000000000000-4-44-424-4-4224-2-2-2224-4-2000000000-22000000000000000000
χ8544-4-244-4-24-22-422-2-4-224000000000-22000000000000000000-4-442-4-442-42-24-2-2242-2-40000000002-2000000000000000000
χ8644-4-24-44-24-22-422-242-2-40000000002-2000000000000000000-4-442-44-42-42-24-2-22-4-224000000000-22000000000000000000
χ8744-4-2-24-4-2-2122-1-112-22-2000−2i32i3i3−i3i3−i31-1000000000000000000-4-4422-4422-1-2-211-1-22-220002i3−2i3−i3i3−i3i3-11000000000000000000
χ8844-4-2-24-4-2-2122-1-112-22-20002i3−2i3−i3i3−i3i31-1000000000000000000-4-4422-4422-1-2-211-1-22-22000−2i32i3i3−i3i3−i3-11000000000000000000
χ8944-4-2-2-44-2-2122-1-11-22-22000003-3-33-11000000000000000000-4-44224-422-1-2-211-12-22-200000-333-31-1000000000000000000
χ9044-4-2-2-44-2-2122-1-11-22-2200000-333-3-11000000000000000000-4-44224-422-1-2-211-12-22-2000003-3-331-1000000000000000000
χ914-404400-4-440000-40000000000000000000−2i22i2000000000000-440-4-40044-40000400000000000000000002i2−2i2000000000000
χ924-404400-4-440000-400000000000000000002i2−2i2000000000000-440-4-40044-4000040000000000000000000−2i22i2000000000000
χ938-808-400-84-400004000000000000000000000000000000000-880-84008-440000-4000000000000000000000000000000000
χ948-80-48004-8-400004000000000000000000000000000000000-8804-800-4840000-4000000000000000000000000000000000
χ958-80-4-400442006-6-2000000000000000000000000000000000-8804400-4-4-200-662000000000000000000000000000000000
χ968-80-4-40044200-66-2000000000000000000000000000000000-8804400-4-4-2006-62000000000000000000000000000000000

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