Finite Group Databasebeta

← Group #13147905

Character table — Group #13147905

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222244444446666666666666666121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order1222344446664121212121212336666661212121212121212366612121212121212121212121212121212121212122222224422244444666666661212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11-1-11-111-1-111-1-111-1-111-1-11-11-1
χ61111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-11-1111-1-1-1-11111-1-1-1-111-11-11
χ71111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-11-1-11111-1-1-1-11111-1-1-11-11
χ81111111-1-1111-111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ911111-1-111111-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ1011111-1-111111-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111
χ1111111-1-111111-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-111-1-11111-1-111-1-111
χ1211111-1-111111-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ1311111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-11111-1-111-1-1-1-11-1-11
χ1411111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1111-111-1-1-1-1-1-1-1-1111111-111-1
χ1511111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-11-1-1-111111111-1-1-1-1-1-1-111-1
χ1611111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-11-11-1-111-1-1-1-111-1-111111-1-11
χ1722222222222222222222-122-1-12-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222200002000000-1-1-1-10000-1-1-1-10000
χ1822222222222222222222-122-1-12-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-20000-20000001111000011110000
χ192222222222222222222-12-1-122-12-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000022000-1-1-1-10000-1-1-1-100000000
χ202222222222222222222-12-1-122-12-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000-2-200011110000111100000000
χ212222222-2-2222-222-2-2-2-22-122-1-12-122221111-1-1-1-1-1-1-2-2-2-211-1-1-1-11111111100002222-20000-2000000-1-1110000-1-1110000
χ222222222-2-2222-222-2-2-2-22-122-1-12-122221111-1-1-1-1-1-1-2-2-2-211-1-1-1-1111111110000-2-2-2-220000200000011-1-1000011-1-10000
χ232222222-2-2222-222-2-2-2-2-12-1-122-12-1-1-1-1-2-2-2-2-1-1-1-1221111-2-2-1-1-1-11111111122-2-200000002-2000-1-1110000-1-11100000000
χ242222222-2-2222-222-2-2-2-2-12-1-122-12-1-1-1-1-2-2-2-2-1-1-1-1221111-2-2-1-1-1-111111111-2-2220000000-2200011-1-1000011-1-100000000
χ2522222-2-222222-2-2-2-2-2222-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-11122-2-2111111-1-1-1-11111000022-2-2-200002000000-1-111000011-1-10000
χ2622222-2-222222-2-2-2-2-2222-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-11122-2-2111111-1-1-1-111110000-2-22220000-200000011-1-10000-1-1110000
χ2722222-2-222222-2-2-2-2-222-12-1-122-1211112222-1-1-1-1-2-2-1-111-2-21111-1-1-1-1111122220000000-2-2000-1-1-1-10000111100000000
χ2822222-2-222222-2-2-2-2-222-12-1-122-1211112222-1-1-1-1-2-2-1-111-2-21111-1-1-1-11111-2-2-2-200000002200011110000-1-1-1-100000000
χ2922222-2-2-2-22222-2-222-2-22-122-1-12-1-2-2-2-21111-1-1-1-111-2-222-1-111111111-1-1-1-1000022-2-220000-2000000-1-1-1-1000011110000
χ3022222-2-2-2-22222-2-222-2-22-122-1-12-1-2-2-2-21111-1-1-1-111-2-222-1-111111111-1-1-1-10000-2-222-20000200000011110000-1-1-1-10000
χ3122222-2-2-2-22222-2-222-2-2-12-1-122-121111-2-2-2-2-1-1-1-1-2-211-1-12211111111-1-1-1-122-2-20000000-22000-1-111000011-1-100000000
χ3222222-2-2-2-22222-2-222-2-2-12-1-122-121111-2-2-2-2-1-1-1-1-2-211-1-12211111111-1-1-1-1-2-22200000002-200011-1-10000-1-11100000000
χ3322-2-222i−2i002-2-202i−2i0000222-22-2-2-22i2i−2i−2i000022-2-22i−2i0000002i2i−2i−2i0000000000002-22i−2i0000000000002-20000002i−2i000000
χ3422-2-222i−2i002-2-202i−2i0000222-22-2-2-22i2i−2i−2i000022-2-22i−2i0000002i2i−2i−2i000000000000-22−2i2i000000000000-22000000−2i2i000000
χ3522-2-222i−2i002-2-202i−2i00002-12-2-11-212i2i−2i−2i33−3−3-1-111−ii0000−i3i3−i−iii33−3−3−i3−i3i3i300002-22i−2i000000000000-11−i3i30000−ii3−30000
χ3622-2-222i−2i002-2-202i−2i00002-12-2-11-212i2i−2i−2i33−3−3-1-111−ii0000−i3i3−i−iii33−3−3−i3−i3i3i30000-22−2i2i0000000000001-1i3−i30000i−i−330000
χ3722-2-222i−2i002-2-202i−2i00002-12-2-11-212i2i−2i−2i−3−333-1-111−ii0000i3−i3−i−iii−3−333i3i3−i3−i300002-22i−2i000000000000-11i3−i30000−ii−330000
χ3822-2-222i−2i002-2-202i−2i00002-12-2-11-212i2i−2i−2i−3−333-1-111−ii0000i3−i3−i−iii−3−333i3i3−i3−i30000-22−2i2i0000000000001-1−i3i30000i−i3−30000
χ3922-2-22−2i2i002-2-20−2i2i0000222-22-2-2-2−2i−2i2i2i000022-2-2−2i2i000000−2i−2i2i2i0000000000002-2−2i2i0000000000002-2000000−2i2i000000
χ4022-2-22−2i2i002-2-20−2i2i0000222-22-2-2-2−2i−2i2i2i000022-2-2−2i2i000000−2i−2i2i2i000000000000-222i−2i000000000000-220000002i−2i000000
χ4122-2-22−2i2i002-2-20−2i2i00002-12-2-11-21−2i−2i2i2i33−3−3-1-111i−i0000i3−i3ii−i−i33−3−3i3i3−i3−i300002-2−2i2i000000000000-11i3−i30000i−i3−30000
χ4222-2-22−2i2i002-2-20−2i2i00002-12-2-11-21−2i−2i2i2i33−3−3-1-111i−i0000i3−i3ii−i−i33−3−3i3i3−i3−i30000-222i−2i0000000000001-1−i3i30000−ii−330000
χ4322-2-22−2i2i002-2-20−2i2i00002-12-2-11-21−2i−2i2i2i−3−333-1-111i−i0000−i3i3ii−i−i−3−333−i3−i3i3i300002-2−2i2i000000000000-11−i3i30000i−i−330000
χ4422-2-22−2i2i002-2-20−2i2i00002-12-2-11-21−2i−2i2i2i−3−333-1-111i−i0000−i3i3ii−i−i−3−333−i3−i3i3i30000-222i−2i0000000000001-1i3−i30000−ii3−30000
χ452-2-222002-2-2-22000002-222-22-2-2-2200002-22-22-22-2002-2000000002-22-200002-22-20000000000002-22-20000000000000000
χ462-2-222002-2-2-22000002-222-22-2-2-2200002-22-22-22-2002-2000000002-22-20000-22-22000000000000-22-220000000000000000
χ472-2-222002-2-2-22000002-2-121-1-2-2123−33−32-22-2-11-1100-113−3003−33−3-11-113−33−32-22-2000000000000-11-1100003−33−300000000
χ482-2-222002-2-2-22000002-2-121-1-2-2123−33−32-22-2-11-1100-113−3003−33−3-11-113−33−3-22-220000000000001-11-10000−33−3300000000
χ492-2-222002-2-2-22000002-2-121-1-2-212−33−332-22-2-11-1100-11−3300−33−33-11-11−33−332-22-2000000000000-11-110000−33−3300000000
χ502-2-222002-2-2-22000002-2-121-1-2-212−33−332-22-2-11-1100-11−3300−33−33-11-11−33−33-22-220000000000001-11-100003−33−300000000
χ512-2-22200-22-2-2200000-2222-22-2-2-220000-22-222-22-200-2200000000-22-2200002-2-220000000000002-2-220000000000000000
χ522-2-22200-22-2-2200000-2222-22-2-2-220000-22-222-22-200-2200000000-22-220000-222-2000000000000-222-20000000000000000
χ532-2-22200-22-2-2200000-22-121-1-2-2123−33−3-22-22-11-11001-1−33003−33−31-11-1−33−332-2-22000000000000-111-100003−3−3300000000
χ542-2-22200-22-2-2200000-22-121-1-2-2123−33−3-22-22-11-11001-1−33003−33−31-11-1−33−33-222-20000000000001-1-110000−333−300000000
χ552-2-22200-22-2-2200000-22-121-1-2-212−33−33-22-22-11-11001-13−300−33−331-11-13−33−32-2-22000000000000-111-10000−333−300000000
χ562-2-22200-22-2-2200000-22-121-1-2-212−33−33-22-22-11-11001-13−300−33−331-11-13−33−3-222-20000000000001-1-1100003−3−3300000000
χ574444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ584444444-4-4444-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-222221111-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5944444-4-444444-4-4-4-4-444-2-2-2-2-2-2-2-22222-2-2-2-2111122-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ6044444-4-4-4-44444-4-444-4-4-2-2-2-2-2-2-2-22222222211112222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ6144-4-444i−4i004-4-404i−4i0000-24-224-42-4−2i−2i2i2i0000-2-2224i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6244-4-444i−4i004-4-404i−4i0000-2-2-22-2222−2i−2i2i2i2323−23−2311-1-1−2i2i0000−2i32i3ii−i−i−3−333i3i3−i3−i3000000000000000000000000000000000000
χ6344-4-444i−4i004-4-404i−4i0000-2-2-22-2222−2i−2i2i2i−23−23232311-1-1−2i2i00002i3−2i3ii−i−i33−3−3−i3−i3i3i3000000000000000000000000000000000000
χ6444-4-44−4i4i004-4-40−4i4i0000-24-224-42-42i2i−2i−2i0000-2-222−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6544-4-44−4i4i004-4-40−4i4i0000-2-2-22-22222i2i−2i−2i2323−23−2311-1-12i−2i00002i3−2i3−i−iii−3−333−i3−i3i3i3000000000000000000000000000000000000
χ6644-4-44−4i4i004-4-40−4i4i0000-2-2-22-22222i2i−2i−2i−23−23232311-1-12i−2i0000−2i32i3−i−iii33−3−3i3i3−i3−i3000000000000000000000000000000000000
χ674-44-440000-44-4000000044-4-4-444-4000000004-4-4400000000000000000000000000000000000000000000000000000000
χ684-44-440000-44-400000004-2-4-42-242000023−23−2323-222-200000000000023−23−23230000000000000000000000000000000000000000
χ694-44-440000-44-400000004-2-4-42-2420000−232323−23-222-2000000000000−232323−230000000000000000000000000000000000000000
χ704-44-440000-44-40000000-2422-44-2-4−2i32i32i3−2i30000-222-200000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ714-44-440000-44-40000000-2422-44-2-42i3−2i3−2i32i30000-222-2000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ724-44-440000-44-40000000-2-2222-2-22−2i32i32i3−2i323−23−23231-1-1100000000i3−i3−i3i3−333−33i−3i−3i3i000000000000000000000000000000000000
χ734-44-440000-44-40000000-2-2222-2-22−2i32i32i3−2i3−232323−231-1-1100000000i3−i3−i3i33−3−33−3i3i3i−3i000000000000000000000000000000000000
χ744-44-440000-44-40000000-2-2222-2-222i3−2i3−2i32i323−23−23231-1-1100000000−i3i3i3−i3−333−3−3i3i3i−3i000000000000000000000000000000000000
χ754-44-440000-44-40000000-2-2222-2-222i3−2i3−2i32i3−232323−231-1-1100000000−i3i3i3−i33−3−333i−3i−3i3i000000000000000000000000000000000000
χ764-4-444004-4-4-44000004-44-2-4422-4-20000-22-22-22-22004-400000000-22-220000000000000000000000000000000000000000
χ774-4-444004-4-4-44000004-4-2-22-2222-223−2323−23-22-221-11-100-2223−2300−33−331-11-1−33−33000000000000000000000000000000000000
χ784-4-444004-4-4-44000004-4-2-22-2222-2−2323−2323-22-221-11-100-22−2323003−33−31-11-13−33−3000000000000000000000000000000000000
χ794-4-44400-44-4-4400000-444-2-4422-4-200002-22-2-22-2200-44000000002-22-20000000000000000000000000000000000000000
χ804-4-44400-44-4-4400000-44-2-22-2222-223−2323−232-22-21-11-1002-2−232300−33−33-11-113−33−3000000000000000000000000000000000000
χ814-4-44400-44-4-4400000-44-2-22-2222-2−2323−23232-22-21-11-1002-223−23003−33−3-11-11−33−33000000000000000000000000000000000000
χ826666-36666-3-3-36-3-3-3-3-3-3000000000000000000000000000000000000000000000000022000220000000000000000-1-1-1-1
χ836666-36666-3-3-36-3-3-3-3-3-30000000000000000000000000000000000000000000000000-2-2000-2-200000000000000001111
χ846666-366-6-6-3-3-3-6-3-3333300000000000000000000000000000000000000000000000002-20002-20000000000000000-11-11
χ856666-366-6-6-3-3-3-6-3-333330000000000000000000000000000000000000000000000000-22000-2200000000000000001-11-1
χ866666-3-6-666-3-3-3-63333-3-3000000000000000000000000000000000000000000000000022000-2-20000000000000000-1-111
χ876666-3-6-666-3-3-3-63333-3-30000000000000000000000000000000000000000000000000-2-200022000000000000000011-1-1
χ886666-3-6-6-6-6-3-3-3633-3-33300000000000000000000000000000000000000000000000002-2000-220000000000000000-111-1
χ896666-3-6-6-6-6-3-3-3633-3-3330000000000000000000000000000000000000000000000000-220002-200000000000000001-1-11
χ901212-12-12-612i−12i00-6660−6i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-12-6−12i12i00-66606i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-1212-12-600006-6600063−63000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-600006-66000−6363000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-60012-1266-600000-660000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-600-121266-6000006-60000000000000000000000000000000000000000000000000000000000000000000000000000

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