Finite Group Databasebeta

← Group #11808103

Character table — Group #11808103

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order122233466666612121212222222222244666666121244444222266466666612121212222222222244666666121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1
χ3111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1
χ6111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111
χ7111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111
χ8111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ10222222-2222222-2-2-2-2-2-2-2-2000000000000000020000222222-2222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i0000022-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i00000
χ1222-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i0000022-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i00000
χ1322-2-222022-2-2-2-20000-2-22200002-2002-20000000000022-2-222022-2-2-2-20000-2-22200002-2002-200000000000
χ1422-2-222022-2-2-2-20000-2-2220000-2200-220000000000022-2-222022-2-2-2-20000-2-2220000-2200-2200000000000
χ152-22-2220-2-22-2-2200002-22-200000000000000000002-22-22-2220-2-22-2-2200002-22-200000000000000000002-2
χ162-22-2220-2-22-2-2200002-22-20000000000000000000-222-22-2220-2-22-2-2200002-22-20000000000000000000-22
χ172-22-2220-2-22-2-220000-22-22000000000000000002-2002-22-2220-2-22-2-220000-22-22000000000000000002-200
χ182-22-2220-2-22-2-220000-22-2200000000000000000-22002-22-2220-2-22-2-220000-22-2200000000000000000-2200
χ192-2-22220-2-2-222-200002-2-222-2000000002-20000000002-2-22220-2-2-222-200002-2-222-2000000002-2000000000
χ202-2-22220-2-2-222-200002-2-22-2200000000-220000000002-2-22220-2-2-222-200002-2-22-2200000000-22000000000
χ212-2-22220-2-2-222-20000-222-2002-2000000002-200000002-2-22220-2-2-222-20000-222-2002-2000000002-20000000
χ222-2-22220-2-2-222-20000-222-200-2200000000-2200000002-2-22220-2-2-222-20000-222-200-2200000000-220000000
χ2344441-241-2-21-2111-2-2000000002222-1-10000-1-10000044441-241-2-21-2111-2-2000000002222-1-10000-1-100000
χ2444441-241-2-21-2111-2-200000000-2-2-2-2110000110000044441-241-2-21-2111-2-200000000-2-2-2-21100001100000
χ2544441-2-41-2-21-21-1-1220000000022-2-2-1-10000110000044441-2-41-2-21-21-1-1220000000022-2-2-1-100001100000
χ2644441-2-41-2-21-21-1-12200000000-2-222110000-1-10000044441-2-41-2-21-21-1-12200000000-2-222110000-1-100000
χ274444-214-211-21-2-2-21100002222000000-1-1-1-100000004444-214-211-21-2-2-21100002222000000-1-1-1-10000000
χ284444-214-211-21-2-2-2110000-2-2-2-2000000111100000004444-214-211-21-2-2-2110000-2-2-2-200000011110000000
χ294444-21-4-211-21-222-1-1000022-2-2000000-1-11100000004444-21-4-211-21-222-1-1000022-2-2000000-1-1110000000
χ304444-21-4-211-21-222-1-10000-2-22200000011-1-100000004444-21-4-211-21-222-1-10000-2-22200000011-1-10000000
χ3144-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii0000044-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii00000
χ3244-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i0000044-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i00000
χ3344-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i0000044-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i00000
χ3444-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii0000044-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii00000
χ354-4-44-2102-1-1-212003-300002-22-2000000-11-1100000004-4-44-2102-1-1-212003-300002-22-2000000-11-110000000
χ364-4-44-2102-1-1-212003-30000-22-220000001-11-100000004-4-44-2102-1-1-212003-30000-22-220000001-11-10000000
χ374-4-44-2102-1-1-21200-3300002-2-22000000-111-100000004-4-44-2102-1-1-21200-3300002-2-22000000-111-10000000
χ384-4-44-2102-1-1-21200-330000-222-20000001-1-1100000004-4-44-2102-1-1-21200-330000-222-20000001-1-110000000
χ3988-8-8-420-42-24-240000000000000000000000000000088-8-8-420-42-24-2400000000000000000000000000000
χ408-88-82-40-24-4-242000000000000000000000000000008-88-82-40-24-4-24200000000000000000000000000000
χ418-88-8-4204-224-2-4000000000000000000000000000008-88-8-4204-224-2-400000000000000000000000000000
χ428-8-882-40-2442-4-2000000000000000000000000000008-8-882-40-2442-4-200000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11111
χ45111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1
χ47111111-1111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111-1-111
χ48111111-1111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1111-1-1
χ49111111-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111111-1-1
χ50111111-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-1-111
χ5122222222222222222-2-2-2-20000000000000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000020000
χ52222222-2222222-2-2-2-2-2-2-2-2000000000000000020000-2-2-2-2-2-22-2-2-2-2-2-2222222220000000000000000-20000
χ5322-2-222022-2-2-2-2000022-2-20000002i−2i0000002i−2i00000-2-222-2-20-2-222220000-2-222000000−2i2i000000−2i2i00000
χ5422-2-222022-2-2-2-2000022-2-2000000−2i2i000000−2i2i00000-2-222-2-20-2-222220000-2-2220000002i−2i0000002i−2i00000
χ5522-2-222022-2-2-2-20000-2-22200002-2002-200000000000-2-222-2-20-2-22222000022-2-20000-2200-2200000000000
χ5622-2-222022-2-2-2-20000-2-2220000-2200-2200000000000-2-222-2-20-2-22222000022-2-200002-2002-200000000000
χ572-22-2220-2-22-2-2200002-22-200000000000000000002-2-22-22-2-2022-222-20000-22-220000000000000000000-22
χ582-22-2220-2-22-2-2200002-22-20000000000000000000-22-22-22-2-2022-222-20000-22-2200000000000000000002-2
χ592-22-2220-2-22-2-220000-22-22000000000000000002-200-22-22-2-2022-222-200002-22-200000000000000000-2200
χ602-22-2220-2-22-2-220000-22-2200000000000000000-2200-22-22-2-2022-222-200002-22-2000000000000000002-200
χ612-2-22220-2-2-222-200002-2-222-2000000002-2000000000-222-2-2-20222-2-220000-222-2-2200000000-22000000000
χ622-2-22220-2-2-222-200002-2-22-2200000000-22000000000-222-2-2-20222-2-220000-222-22-2000000002-2000000000
χ632-2-22220-2-2-222-20000-222-2002-2000000002-20000000-222-2-2-20222-2-2200002-2-2200-2200000000-220000000
χ642-2-22220-2-2-222-20000-222-200-2200000000-220000000-222-2-2-20222-2-2200002-2-22002-2000000002-20000000
χ6544441-241-2-21-2111-2-2000000002222-1-10000-1-100000-4-4-4-4-12-4-122-12-1-1-12200000000-2-2-2-21100001100000
χ6644441-241-2-21-2111-2-200000000-2-2-2-21100001100000-4-4-4-4-12-4-122-12-1-1-122000000002222-1-10000-1-100000
χ6744441-2-41-2-21-21-1-1220000000022-2-2-1-100001100000-4-4-4-4-124-122-12-111-2-200000000-2-222110000-1-100000
χ6844441-2-41-2-21-21-1-12200000000-2-222110000-1-100000-4-4-4-4-124-122-12-111-2-20000000022-2-2-1-100001100000
χ694444-214-211-21-2-2-21100002222000000-1-1-1-10000000-4-4-4-42-1-42-1-12-1222-1-10000-2-2-2-200000011110000000
χ704444-214-211-21-2-2-2110000-2-2-2-200000011110000000-4-4-4-42-1-42-1-12-1222-1-100002222000000-1-1-1-10000000
χ714444-21-4-211-21-222-1-1000022-2-2000000-1-1110000000-4-4-4-42-142-1-12-12-2-2110000-2-22200000011-1-10000000
χ724444-21-4-211-21-222-1-10000-2-22200000011-1-10000000-4-4-4-42-142-1-12-12-2-211000022-2-2000000-1-1110000000
χ7344-4-41-201-22-12-13i−3i00000000002-22i−2i-110000−ii00000-4-444-120-12-21-21−3i3i0000000000-22−2i2i1-10000i−i00000
χ7444-4-41-201-22-12-13i−3i0000000000-22−2i2i1-10000i−i00000-4-444-120-12-21-21−3i3i00000000002-22i−2i-110000−ii00000
χ7544-4-41-201-22-12-1−3i3i00000000002-2−2i2i-110000i−i00000-4-444-120-12-21-213i−3i0000000000-222i−2i1-10000−ii00000
χ7644-4-41-201-22-12-1−3i3i0000000000-222i−2i1-10000−ii00000-4-444-120-12-21-213i−3i00000000002-2−2i2i-110000i−i00000
χ774-4-44-2102-1-1-212003-300002-22-2000000-11-110000000-444-42-10-2112-1-200-330000-22-220000001-11-10000000
χ784-4-44-2102-1-1-212003-30000-22-220000001-11-10000000-444-42-10-2112-1-200-3300002-22-2000000-11-110000000
χ794-4-44-2102-1-1-21200-3300002-2-22000000-111-10000000-444-42-10-2112-1-2003-30000-222-20000001-1-110000000
χ804-4-44-2102-1-1-21200-330000-222-20000001-1-110000000-444-42-10-2112-1-2003-300002-2-22000000-111-10000000
χ8188-8-8-420-42-24-2400000000000000000000000000000-8-8884-204-22-42-400000000000000000000000000000
χ828-88-82-40-24-4-24200000000000000000000000000000-88-88-2402-442-4-200000000000000000000000000000
χ838-88-8-4204-224-2-400000000000000000000000000000-88-884-20-42-2-42400000000000000000000000000000
χ848-8-882-40-2442-4-200000000000000000000000000000-888-8-2402-4-4-24200000000000000000000000000000

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