Finite Group Databasebeta

← Group #72242414

Character table — Group #72242414

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112266668888888812121212121616181818243636363648484848484848484848646464646464727296969696108108108108144144216216216288
order1236448833336666212122424362886246812121212242424242424333666122466612444824242886
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111-1-111111111-111-1-111111-11-11-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-11
χ4111111-1-111111111-111-1-1111-1-1-1-1-11-11111-1-1-1-1-1-1111111-1-1-1-1-11-111-1-1-1111-1
χ522222200222-1222-102200-1-122202020222-1000000-1-1-1-1-1-100000-12002-1-1000-1
χ622222200222-1222-102200-1-12-2-20-2020222-1000000-1-1-1-1-1-100000-1-200-2110001
χ722222222-1-1-12-1-1-12222222220020222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122-1-1-120000000000
χ8222222-2-2-1-1-12-1-1-12-222-2-222200-20-22-2-1-1-12111111-1-1-1-1-1-1-2-211120000000000
χ922-1-122222-1-122-1-122-1-1-1-1-1-1200-102-122-1-1222-1-1-1-12-1-12-1-1-1-12-1-1-10000000000
χ1022-1-12222-12-12-12-122-1-1-1-1-1-1200-102-12-12-12-1-122-1-1-12-1-12-1-1-1-12-1-10000000000
χ1122-1-12222-1-122-1-1222-1-1-1-1-1-1200-102-12-1-122-1-1-1-122-1-12-1-12-1-1-1-12-10000000000
χ1222-1-122-2-22-1-122-1-12-2-1-111-1-120010-2-1-22-1-12-2-211112-1-12-1-111-211-10000000000
χ1322-1-122-2-2-12-12-12-12-2-1-111-1-120010-2-1-2-12-1211-2-211-12-1-12-1111-21-10000000000
χ1422-1-122-2-2-1-122-1-122-2-1-111-1-120010-2-1-2-1-1221111-2-2-1-12-1-121111-2-10000000000
χ1533333-133000300033-133333-1113-1-1-1-1000-1000000000000-1-1000-1-111111-1-11-1
χ1633333-133000300033-133333-1-1-131-1-1-1000-1000000000000-1-1000-11-1-1-1-1-111-11
χ1733333-1-3-300030003-3-13-3-333-111-3-11-11000-100000000000011000-1-1-1-111111-1-1
χ1833333-1-3-300030003-3-13-3-333-1-1-1-311-11000-100000000000011000-1111-1-1-1-1-111
χ193333-131133303330-13-11100-133-13-1-11-1-1-10111111000000-11-1-1-10-111-100-11-10
χ203333-131133303330-13-11100-1-3-3-1-3-1-11-1-1-10111111000000-11-1-1-101-1-11001-110
χ213333-13-1-13330333013-1-1-100-133131-1-1-1-1-10-1-1-1-1-1-10000001-11110-1-1-1-1001-110
χ223333-13-1-13330333013-1-1-100-1-3-31-31-1-1-1-1-10-1-1-1-1-1-10000001-11110111100-11-10
χ2344444400-2-2-2-2-2-2-2-204400-2-240000040-2-2-2-200000011111100000-20000000000
χ2444-2-244004-2-2-24-2-2-20-2-20011400000-204-2-2-2000000-211-2110000010000000000
χ2544-2-24400-24-2-2-24-2-20-2-20011400000-20-24-2-20000001-211-210000010000000000
χ2644-2-24400-2-24-2-2-24-20-2-20011400000-20-2-24-200000011-211-20000010000000000
χ274-44-4002i2−2i2-2-2-2-222220002i2−2i2-2202i2−2i2000000000i2−i2i2−i2i2−i2111-1-1-100000002-20i2−i20000
χ284-44-4002i2−2i2-2-2-2-222220002i2−2i2-220−2i22i2000000000i2−i2i2−i2i2−i2111-1-1-10000000-220−i2i20000
χ294-44-400−2i22i2-2-2-2-22222000−2i22i2-2202i2−2i2000000000−i2i2−i2i2−i2i2111-1-1-10000000-220i2−i20000
χ304-44-400−2i22i2-2-2-2-22222000−2i22i2-220−2i22i2000000000−i2i2−i2i2−i2i2111-1-1-100000002-20−i2i20000
χ3166666-200000-3000-30-2600-3-3-2220-20-200001000000000000000001-2002-1-10001
χ3266666-200000-3000-30-2600-3-3-2-2-2020-200001000000000000000001200-211000-1
χ336666-2622-3-3-30-3-3-30-26-22200-200-20-2-221110-1-1-1-1-1-1000000-2211100000000000
χ346666-26-2-2-3-3-30-3-3-3026-2-2-200-200202-2-211101111110000002-2-1-1-100000000000
χ3566-3-36-2660006000661-3-3-3-3-3-200-30-21-2000-20000000000001100010000000000
χ3666-3-36-2-6-600060006-61-333-3-3-20030212000-2000000000000-1-100010000000000
χ3766-3-3-26226-3-306-3-30-2-31-1-100-20010-212-211022-1-1-1-10000001-1-21100000000000
χ3866-3-3-2622-36-30-36-30-2-31-1-100-20010-2121-210-1-122-1-10000001-11-2100000000000
χ3966-3-3-2622-3-360-3-360-2-31-1-100-20010-21211-20-1-1-1-1220000001-111-200000000000
χ4066-3-3-26-2-26-3-306-3-302-311100-200-1021-2-2110-2-21111000000-112-1-100000000000
χ4166-3-3-26-2-2-36-30-36-302-311100-200-1021-21-21011-2-211000000-11-12-100000000000
χ4266-3-3-26-2-2-3-360-3-3602-311100-200-1021-211-201111-2-2000000-11-1-1200000000000
χ438-88-80000-4-4-42444-2000002-204i2−4i2000000000000000-1-1-11110000000000−i2i20000
χ448-88-80000-4-4-42444-2000002-20−4i24i2000000000000000-1-1-11110000000000i2−i20000
χ458-88-8004i2−4i2222-4-2-2-240004i2−4i2-44000000000000−i2i2−i2i2−i2i2-1-1-11110000000000000000
χ468-88-800−4i24i2222-4-2-2-24000−4i24i2-44000000000000i2−i2i2−i2i2−i2-1-1-11110000000000000000
χ478-8-44004i2−4i222-4-4-2-244000−2i22i22-2000000000000−i2i2−i2i22i2−2i2-1-1211-20000000000000000
χ488-8-44004i2−4i22-42-4-24-24000−2i22i22-2000000000000−i2i22i2−2i2−i2i2-12-11-210000000000000000
χ498-8-44004i2−4i2-422-44-2-24000−2i22i22-20000000000002i2−2i2−i2i2−i2i22-1-1-2110000000000000000
χ508-8-4400−4i24i222-4-4-2-2440002i2−2i22-2000000000000i2−i2i2−i2−2i22i2-1-1211-20000000000000000
χ518-8-4400−4i24i22-42-4-24-240002i2−2i22-2000000000000i2−i2−2i22i2i2−i2-12-11-210000000000000000
χ528-8-4400−4i24i2-422-44-2-240002i2−2i22-2000000000000−2i22i2i2−i2i2−i22-1-1-2110000000000000000
χ539999-3-33300000000-3-3-33300133-3-311-100000000000000001-10000111-1001-1-10
χ549999-3-33300000000-3-3-333001-3-3-3311-100000000000000001-10000-1-1-1100-1110
χ559999-3-3-3-3000000003-3-3-3-3001333-3-1110000000000000000-1100001-1-1-100-1110
χ569999-3-3-3-3000000003-3-3-3-3001-3-333-1110000000000000000-110000-1111001-1-10
χ571212-6-612-400000-6000-602-60033-40000020000200000000000000000-10000000000
χ5816-1616-1600004444-4-4-4-4000004-4000000000000000000111-1-1-10000000000000000
χ5916-16-88000044-84-4-48-400000-2200000000000000000011-2-1-120000000000000000
χ6016-16-8800004-844-48-4-400000-220000000000000000001-21-12-10000000000000000
χ6116-16-880000-84448-4-4-400000-22000000000000000000-2112-1-10000000000000000
χ621818-9-9-6-66600000000-633-3-300200302-1-20000000000000000-1100000000000000
χ631818-9-9-6-6-6-6000000006333300200-30-2-1200000000000000001-100000000000000

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