Finite Group Databasebeta

← Group #11864162

Character table — Group #11864162

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order12223344446666662223446661212121212121212121212126666666666661212121212121212121222224422448888242424242424242422444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-11-11
χ511111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ611111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1
χ711111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1111-11-1
χ811111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-111-11-11
χ9111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11-11-111-1-111-1-1-1-1-11111-1-1
χ10111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-11-11-1-111-1-111-1-1-111-1-111
χ11111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11-1-111-1-1111-1-1-1-111111-1-11-1-11
χ12111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-11111-1-1111-1-1-111-1
χ13111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-11-11-1-111-1-11111-1-1-111-1-1
χ14111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111-11-111-1-111-1-111-1-1-1-1-111
χ15111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-11-111-1-1-11111-1-1-1-11111-1-11
χ16111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-11-1-1111-1-1-1-111-1-1111-111-1
χ1722222222-2-2222222-20020022222222222-2-2-2-2-2-20000-2-200000000-2-2000022-2-2-2-20000000000000000002000000
χ1822222222-2-2222222-20020022222222222-2-2-2-2-2-20000-2-200000000-2-20000-2-22222000000000000000000-2000000
χ19222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22200002200000000-2-200002222-2-2000000000000000000-2000000
χ20222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22200002200000000-2-20000-2-2-2-2220000000000000000002000000
χ2122222-122222-12-12-1222-122-1-1-122-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000020200220000-1-1-1-1000000-10-1
χ2222222-122222-12-12-1222-122-1-1-122-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000-20-200-2-200001111000000101
χ2322222-122222-12-12-12-2-2-1-2-2-1-1-122-1-1-1-1-1-122-1-12-1-2-211-1-11111-2-211-1-11111000000020200-2-200001111000000-10-1
χ2422222-122222-12-12-12-2-2-1-2-2-1-1-122-1-1-1-1-1-122-1-12-1-2-211-1-11111-2-211-1-111110000000-20-200220000-1-1-1-1000000101
χ2522222-1-2-2222-12-12-1-222-1-2-2-1-1-1-2-211111122-1-1-2122-1-111-1-1-1-1-2-211-1-11111000000020-2002-20000-1-111000000-101
χ2622222-1-2-2222-12-12-1-222-1-2-2-1-1-1-2-211111122-1-1-2122-1-111-1-1-1-1-2-211-1-111110000000-20200-22000011-1-100000010-1
χ2722222-1-2-2222-12-12-1-2-2-2-122-1-1-1-2-211111122-1-1-21-2-21111111122-1-1-1-1-1-1-1-1000000020-200-22000011-1-1000000-101
χ2822222-1-2-2222-12-12-1-2-2-2-122-1-1-1-2-211111122-1-1-21-2-21111111122-1-1-1-1-1-1-1-10000000-202002-20000-1-11100000010-1
χ292222-122222-12-12-12222-122-1-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000020202200-1-1-1-1000000000-10-10
χ302222-122222-12-12-12222-122-1-1-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-20-20-2-20011110000000001010
χ312222-122222-12-12-122-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-122-1211-2-2-1-1111111-2-2-1-111110000002020-2-2001111000000000-10-10
χ322222-122222-12-12-122-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-122-1211-2-2-1-1111111-2-2-1-11111000000-20-202200-1-1-1-10000000001010
χ332222-12-2-222-12-12-12-222-1-2-2-1-1-111-2-21111-1-1221-2-1-12211-1-1-1-111-2-2-1-1111100000020-202-200-1-111000000000-1010
χ342222-12-2-222-12-12-12-222-1-2-2-1-1-111-2-21111-1-1221-2-1-12211-1-1-1-111-2-2-1-11111000000-2020-220011-1-100000000010-10
χ352222-12-2-222-12-12-12-2-2-2-122-1-1-111-2-21111-1-1221-211-2-2111111-1-122-1-1-1-1-1-100000020-20-220011-1-1000000000-1010
χ362222-12-2-222-12-12-12-2-2-2-122-1-1-111-2-21111-1-1221-211-2-2111111-1-122-1-1-1-1-1-1000000-20202-200-1-11100000000010-10
χ372-2-2222002-2-2-222-2-200022-2-2-22000000002-22-20000000000002-22-22-222-2-22-2002-200000000000000002-20000000
χ382-2-2222002-2-2-222-2-200022-2-2-22000000002-22-20000000000002-22-22-222-2-2-2200-220000000000000000-220000000
χ392-2-2222002-2-2-222-2-20002-22-2-22000000002-22-2000000000000-22-222-2-2-2222-2002-20000000000000000-220000000
χ402-2-2222002-2-2-222-2-20002-22-2-22000000002-22-2000000000000-22-222-2-2-222-2200-2200000000000000002-20000000
χ412-2-222200-22-2-222-2-202-2200-2-2200000000-22-22002-22-20022-2-20000-2200002-200-2200000000000000000002-20000
χ422-2-222200-22-2-222-2-202-2200-2-2200000000-22-22002-22-20022-2-20000-220000-22002-20000000000000000000-220000
χ432-2-222200-22-2-222-2-20-22200-2-2200000000-22-2200-22-2200-2-2220000-2200002-200-220000000000000000000-220000
χ442-2-222200-22-2-222-2-20-22200-2-2200000000-22-2200-22-2200-2-2220000-220000-22002-200000000000000000002-20000
χ4544444-244-4-44-24-24-2-400-200-2-2-244-2-2-2-2-2-2-4-422-42000022000000002200000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2400-200-2-2-2-4-4222222-4-4224-20000-2-2000000002200000000000000000000000000000000000
χ474444-2444-4-4-24-24-24-400-200-2-2-2-2-244-2-2-2-222-4-42-4000022000000002200000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24400-200-2-2-222-4-4222222-4-4-240000-2-2000000002200000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2444144111-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-24-4-41-4-4111-2-2-2-21111-2-2-2-2-2-2222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-2-400100111-2-2-2-211112222220000-1-13-33-30000-1-13-33-30000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-2-400100111-2-2-2-211112222220000-1-1-33-330000-1-1-33-330000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-2-4441-4-41112222-1-1-1-1-2-2-2-222-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-2-4-4-41441112222-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-24001001112222-1-1-1-12222-2-20000113-33-30000-1-1-33-330000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-24001001112222-1-1-1-12222-2-2000011-33-330000-1-13-33-30000000000000000000000000000000
χ5744-4-4444i−4i0044-4-4-4-40004004-4-44i−4i4i−4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000
χ5844-4-444−4i4i0044-4-4-4-40004004-4-4−4i4i−4i4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000
χ5944-4-44-24i−4i004-2-42-42000-200-2224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000i6−i66−6000000000
χ6044-4-44-24i−4i004-2-42-42000-200-2224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000−i6i6−66000000000
χ6144-4-44-2−4i4i004-2-42-42000-200-222−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000i6−i6−66000000000
χ6244-4-44-2−4i4i004-2-42-42000-200-222−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000−i6i66−6000000000
χ6344-4-4-244i−4i00-242-42-4000-200-222−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000i6−i66−60000000000000
χ6444-4-4-244i−4i00-242-42-4000-200-222−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000−i6i6−660000000000000
χ6544-4-4-24−4i4i00-242-42-4000-200-2222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000i6−i6−660000000000000
χ6644-4-4-24−4i4i00-242-42-4000-200-2222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000−i6i66−60000000000000
χ674-44-4440000-4-4-4-444000400-44-40000000000000000000000000000000000004-4000000000000000000000000000
χ684-44-4440000-4-4-4-444000400-44-4000000000000000000000000000000000000-44000000000000000000000000000
χ694-4-444-2004-4-424-2-42000-24-422-2000000004-4-220000000000004-4-22-22-2-2220000000000000000000000000000000
χ704-4-444-2004-4-424-2-42000-2-4422-2000000004-4-22000000000000-442-2-2222-2-20000000000000000000000000000000
χ714-4-444-200-44-424-2-4204-4-20022-200000000-442-2004-4-2200-2-22200002-200000000000000000000000000000000000
χ724-4-444-200-44-424-2-420-44-20022-200000000-442-200-442-20022-2-200002-200000000000000000000000000000000000
χ734-4-44-24004-42-4-242-4000-24-422-200000000-224-4000000000000-224-4-22-2-2220000000000000000000000000000000
χ744-4-44-24004-42-4-242-4000-2-4422-200000000-224-40000000000002-2-44-2222-2-20000000000000000000000000000000
χ754-4-44-2400-442-4-242-404-4-20022-2000000002-2-4400-224-400-2-22200002-200000000000000000000000000000000000
χ764-4-44-2400-442-4-242-40-44-20022-2000000002-2-44002-2-440022-2-200002-200000000000000000000000000000000000
χ774-4-44-2-2004-422-2-22200014-4-1-1100003-33-3-22-220000003-33-3-33-22-221-111-1-10000000000000000000000000000000
χ784-4-44-2-2004-422-2-22200014-4-1-110000-33-33-22-22000000-33-333-3-22-221-111-1-10000000000000000000000000000000
χ794-4-44-2-2004-422-2-2220001-44-1-1100003-33-3-22-220000003-3-333-32-22-21-1-1-1110000000000000000000000000000000
χ804-4-44-2-2004-422-2-2220001-44-1-110000-33-33-22-22000000-333-3-332-22-21-1-1-1110000000000000000000000000000000
χ814-4-44-2-200-4422-2-22204-4100-1-1100003-33-32-22-200-22-22-3311-1-10000-113-3-330000000000000000000000000000000
χ824-4-44-2-200-4422-2-22204-4100-1-110000-33-332-22-200-22-223-311-1-10000-11-333-30000000000000000000000000000000
χ834-4-44-2-200-4422-2-2220-44100-1-1100003-33-32-22-2002-22-2-33-1-1110000-11-333-30000000000000000000000000000000
χ844-4-44-2-200-4422-2-2220-44100-1-110000-33-332-22-2002-22-23-3-1-1110000-113-3-330000000000000000000000000000000
χ8588-8-8-4-48i−8i00-4-444440002002-2-2−4i4i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4−8i8i00-4-444440002002-2-24i−4i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000
χ878-88-88-40000-84-848-4000-4004-4400000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4800004-84-8-48000-4004-4400000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400004444-4-4000200-22-200006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400004444-4-4000200-22-20000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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