Finite Group Databasebeta

← Group #11787327

Character table — Group #11787327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order12222222222233666666666666666666666666664444444412121212121212121212121212121212444422446666121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ911-1-1-11-1111-1-111111-1-1-11111-1-1-1-111-1-1-1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-111-1-111-1-11-1ii−i−iii−i−i
χ1011-1-1-11-1111-1-111111-1-1-11111-1-1-1-111-1-1-1-11-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-11-11-1-111-1-1111-1−i−iii−i−iii
χ1111-1-1-11-1111-1-111111-1-1-11111-1-1-1-111-1-1-1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-111-1-111-1-11-1−i−iii−i−iii
χ1211-1-1-11-1111-1-111111-1-1-11111-1-1-1-111-1-1-1-11-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-11-1-111-1-1111-1ii−i−iii−i−i
χ1311-1-1-11-11-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-11-1-1111-1-1-1-111-11ii−i−i−i−iii
χ1411-1-1-11-11-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-111-1-1-11111-1-1-11−i−iiiii−i−i
χ1511-1-1-11-11-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-1111-1-1-1-111-11−i−iiiii−i−i
χ1611-1-1-11-11-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-111-1-1-11111-1-1-11ii−i−i−i−iii
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ1922-2-2-22-2222-2-222222-2-2-22222-2-2-2-222-2-2-2-22-222-2-2000000000000000000000000-2-222000000000000-2200000000
χ2022-2-2-22-22-2-22222222-2-2-2-2-2-2-2222222-2-2-2-22-2-2-222000000000000000000000000-2-2220000000000002-200000000
χ212-222-22-2-22-22-2222-2-222-222-2-222-2-2-2-222-2-22-22-22-2000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ222-222-22-2-22-22-2222-2-222-222-2-222-2-2-2-222-2-22-22-22-2000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ232-222-22-2-2-22-22222-2-222-2-2-222-2-222-2-222-2-22-2-22-22000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ242-222-22-2-2-22-22222-2-222-2-2-222-2-222-2-222-2-22-2-22-22000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ252-22-22-2-22000022-22-22-22000000002-22-22-2-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000
χ262-22-22-2-22000022-22-22-22000000002-22-22-2-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000
χ272-22-22-2-22000022-22-22-22000000002-22-22-2-2-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-22-220000000000000000000000
χ282-22-22-2-22000022-22-22-22000000002-22-22-2-2-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-22-220000000000000000000000
χ292-2-22-2-222000022-22-2-22-2000000002-2-22-22-22000000002-2-220000000022-2-2-2-2222-2-220000000000000000000000
χ302-2-22-2-222000022-22-2-22-2000000002-2-22-22-2200000000-222-200000000-2-22222-2-22-2-220000000000000000000000
χ312-2-22-2-222000022-22-2-22-2000000002-2-22-22-2200002-2-22000022-2-2-2-22200000000-222-20000000000000000000000
χ322-2-22-2-222000022-22-2-22-2000000002-2-22-22-220000-222-20000-2-22222-2-200000000-222-20000000000000000000000
χ332-2-2-2222-22-2-22222-2-2-2-2222-2-2-2-222-2-2-2-222222-2-220000000000000000000000000000000000000000002−2−222−2−22
χ342-2-2-2222-22-2-22222-2-2-2-2222-2-2-2-222-2-2-2-222222-2-22000000000000000000000000000000000000000000−222−2−222−2
χ352-2-2-2222-2-222-2222-2-2-2-22-2-22222-2-2-2-2-2-22222-222-20000000000000000000000000000000000000000002−2−22−222−2
χ362-2-2-2222-2-222-2222-2-2-2-22-2-22222-2-2-2-2-2-22222-222-2000000000000000000000000000000000000000000−222−22−2−22
χ374444444444441-211111111111111-2-2-2-2-2-2-21-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ384444444444441-211111111111111-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ39444444444444-21-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111-2111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ40444444444444-21-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111-211110000000000000000000000000000-2-2-2-2111111110000000000
χ4144444444-4-4-4-41-2111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2122222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4244444444-4-4-4-41-2111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-212222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ4344444444-4-4-4-4-21-2-2-2-2-2-2222222221111111-2-1-1-1-1000000000000000000000000000022-2-2-1-1-1-111110000000000
χ4444444444-4-4-4-4-21-2-2-2-2-2-2222222221111111-2-1-1-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ45444-4-4-44-400001-2-1-111-1-13-33-33-33-32-2-222-221000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ46444-4-4-44-400001-2-1-111-1-13-33-33-33-32-2-222-221000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ47444-4-4-44-400001-2-1-111-1-1-33-33-33-332-2-222-221000000000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ48444-4-4-44-400001-2-1-111-1-1-33-33-33-332-2-222-221000000000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ49444-4-4-44-4000044-4-444-4-400000000-444-4-44-44000000000000000000000000000000000000000000000000000000
χ5044-444-4-4-400001-2-1-11-1113-33-3-33-332-22-2-222-10000000000003−33−3−33−333−33−3−33−3300000000000000000000000000
χ5144-444-4-4-400001-2-1-11-1113-33-3-33-332-22-2-222-1000000000000−33−333−33−3−33−333−33−300000000000000000000000000
χ5244-444-4-4-400001-2-1-11-111-33-333-33-32-22-2-222-10000000000003−33−3−33−33−33−333−33−300000000000000000000000000
χ5344-444-4-4-400001-2-1-11-111-33-333-33-32-22-2-222-1000000000000−33−333−33−33−33−3−33−3300000000000000000000000000
χ5444-444-4-4-4000044-4-44-44400000000-44-444-4-4-4000000000000000000000000000000000000000000000000000000
χ5544-4-4-44-4444-4-41-2111-1-1-11111-1-1-1-1-2-22222-2-1-2-2222i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000
χ5644-4-4-44-4444-4-41-2111-1-1-11111-1-1-1-1-2-22222-2-1-2-222−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000
χ5744-4-4-44-4444-4-4-21-2-2-2222-2-2-2-2222211-1-1-1-11211-1-100000000000000000000000000002-22-2-1-111-1-1110000000000
χ5844-4-4-44-4444-4-4-21-2-2-2222-2-2-2-2222211-1-1-1-11211-1-10000000000000000000000000000-22-2211-1-111-1-10000000000
χ5944-4-4-44-44-4-4441-2111-1-1-1-1-1-1-11111-2-22222-2-122-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ6044-4-4-44-44-4-4441-2111-1-1-1-1-1-1-11111-2-22222-2-122-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ6144-4-4-44-44-4-444-21-2-2-22222222-2-2-2-211-1-1-1-112-1-11100000000000000000000000000002-2-22-1-11111-1-10000000000
χ6244-4-4-44-44-4-444-21-2-2-22222222-2-2-2-211-1-1-1-112-1-1110000000000000000000000000000-222-211-1-1-1-1110000000000
χ634-444-44-4-44-44-41-21-1-111-111-1-111-1-122-2-222-2-1-22-22000000003−3−333−3−333−3−333−3−3300000000000000000000000000
χ644-444-44-4-44-44-41-21-1-111-111-1-111-1-122-2-222-2-1-22-2200000000−333−3−333−3−333−3−333−300000000000000000000000000
χ654-444-44-4-44-44-4-21-222-2-22-2-222-2-222-1-111-1-1121-11-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000000000
χ664-444-44-4-44-44-4-21-222-2-22-2-222-2-222-1-111-1-1121-11-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000000000
χ674-444-44-4-4-44-441-21-1-111-1-1-111-1-11122-2-222-2-12-22-2000000003−3−333−3−33−333−3−333−300000000000000000000000000
χ684-444-44-4-4-44-441-21-1-111-1-1-111-1-11122-2-222-2-12-22-200000000−333−3−333−33−3−333−3−3300000000000000000000000000
χ694-444-44-4-4-44-44-21-222-2-2222-2-222-2-2-1-111-1-112-11-1100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ704-444-44-4-4-44-44-21-222-2-2222-2-222-2-2-1-111-1-112-11-1100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ714-44-44-4-4400001-2-11-11-113-3-333-3-33-22-22-222-100002i−2i2i−2i2i−2i2i−2i−i−iii−i−iii−i−iii−i−iii00000000000000000000000000
χ724-44-44-4-4400001-2-11-11-113-3-333-3-33-22-22-222-10000−2i2i−2i2i−2i2i−2i2iii−i−iii−i−iii−i−iii−i−i00000000000000000000000000
χ734-44-44-4-4400001-2-11-11-11-333-3-333-3-22-22-222-100002i−2i2i−2i−2i2i−2i2i−i−iii−i−iiiii−i−iii−i−i00000000000000000000000000
χ744-44-44-4-4400001-2-11-11-11-333-3-333-3-22-22-222-10000−2i2i−2i2i2i−2i2i−2iii−i−iii−i−i−i−iii−i−iii00000000000000000000000000
χ754-4-44-4-44400001-2-11-1-11-13-3-33-333-3-222-22-22100002-2-222-2-22-1-11111-1-1-1-11111-1-100000000000000000000000000
χ764-4-44-4-44400001-2-11-1-11-13-3-33-333-3-222-22-2210000-222-2-222-211-1-1-1-11111-1-1-1-11100000000000000000000000000
χ774-4-44-4-44400001-2-11-1-11-1-333-33-3-33-222-22-22100002-2-22-222-2-1-11111-1-111-1-1-1-11100000000000000000000000000
χ784-4-44-4-44400001-2-11-1-11-1-333-33-3-33-222-22-2210000-222-22-2-2211-1-1-1-111-1-11111-1-100000000000000000000000000
χ794-4-4-4444-44-4-441-21-1-1-1-1111-1-1-1-1112222-2-2-21-222-200000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ804-4-4-4444-44-4-441-21-1-1-1-1111-1-1-1-1112222-2-2-21-222-200000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ814-4-4-4444-44-4-44-21-22222-2-2-22222-2-2-1-1-1-1111-21-1-1100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ824-4-4-4444-44-4-44-21-22222-2-2-22222-2-2-1-1-1-1111-21-1-1100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ834-4-4-4444-4-444-41-21-1-1-1-11-1-11111-1-12222-2-2-212-2-2200000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ844-4-4-4444-4-444-41-21-1-1-1-11-1-11111-1-12222-2-2-212-2-2200000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ854-4-4-4444-4-444-4-21-22222-222-2-2-2-222-1-1-1-1111-2-111-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ864-4-4-4444-4-444-4-21-22222-222-2-2-2-222-1-1-1-1111-2-111-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ87888-8-8-88-80000-4244-4-44400000000-222-2-22-2-4000000000000000000000000000000000000000000000000000000
χ8888-888-8-8-80000-4244-44-4-400000000-22-222-2-24000000000000000000000000000000000000000000000000000000
χ898-88-88-8-880000-424-44-44-4000000002-22-22-2-24000000000000000000000000000000000000000000000000000000
χ908-8-88-8-8880000-424-444-44000000002-2-22-22-2-4000000000000000000000000000000000000000000000000000000

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