Finite Group Databasebeta

← Group #11873379

Character table — Group #11873379

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order1222443366666612121212444488888888224466661212121222224466666666121212124444888888882244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ9222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-200000000000000000000
χ1122-2-200222-22-2-2-20000002-200002i2i−2i−2i00000000000022-2-200222-22-2-2-20000002-200002i2i−2i−2i000000000000
χ1222-2-200222-22-2-2-20000002-20000−2i−2i2i2i00000000000022-2-200222-22-2-2-20000002-20000−2i−2i2i2i000000000000
χ1322-2-200222-22-2-2-2000000-222i2i−2i−2i000000000000000022-2-200222-22-2-2-2000000-222i2i−2i−2i0000000000000000
χ1422-2-200222-22-2-2-2000000-22−2i−2i2i2i000000000000000022-2-200222-22-2-2-2000000-22−2i−2i2i2i0000000000000000
χ152-22-20022-22-22-2-200002-200−i2i2−i2i2−i2i2−i2i20000000000002-22-20022-22-22-2-200002-200−i2i2−i2i2−i2i2−i2i2000000000000
χ162-22-20022-22-22-2-200002-200i2−i2i2−i2i2−i2i2−i20000000000002-22-20022-22-22-2-200002-200i2−i2i2−i2i2−i2i2−i2000000000000
χ172-22-20022-22-22-2-20000-2200−i2i2−i2i2i2−i2i2−i20000000000002-22-20022-22-22-2-20000-2200−i2i2−i2i2i2−i2i2−i2000000000000
χ182-22-20022-22-22-2-20000-2200i2−i2i2−i2−i2i2−i2i20000000000002-22-20022-22-22-2-20000-2200i2−i2i2−i2−i2i2−i2i2000000000000
χ192-2-222-222-2-2-2-2222-22-200002−2−222−2−220000000000002-2-222-222-2-2-2-2222-22-200002−2−222−2−22000000000000
χ202-2-222-222-2-2-2-2222-22-20000−222−2−222−20000000000002-2-222-222-2-2-2-2222-22-20000−222−2−222−2000000000000
χ212-2-22-2222-2-2-2-222-22-2200002−2−22−222−20000000000002-2-22-2222-2-2-2-222-22-2200002−2−22−222−2000000000000
χ222-2-22-2222-2-2-2-222-22-220000−222−22−2−220000000000002-2-22-2222-2-2-2-222-22-220000−222−22−2−22000000000000
χ234444441-211-2-2-21-2-21100000000000000220000-1-1-1-14444441-211-2-2-21-2-21100000000000000220000-1-1-1-1
χ244444441-211-2-2-21-2-21100000000000000-2-2000011114444441-211-2-2-21-2-21100000000000000-2-200001111
χ25444444-21-2-2111-211-2-20000000000002200-1-1-1-10000444444-21-2-2111-211-2-20000000000002200-1-1-1-10000
χ26444444-21-2-2111-211-2-2000000000000-2-20011110000444444-21-2-2111-211-2-2000000000000-2-20011110000
χ274444-4-41-211-2-2-2122-1-1000000000000002-20000-1-1114444-4-41-211-2-2-2122-1-1000000000000002-20000-1-111
χ284444-4-41-211-2-2-2122-1-100000000000000-22000011-1-14444-4-41-211-2-2-2122-1-100000000000000-22000011-1-1
χ294444-4-4-21-2-2111-2-1-1220000000000002-200-1-11100004444-4-4-21-2-2111-2-1-1220000000000002-200-1-1110000
χ304444-4-4-21-2-2111-2-1-122000000000000-220011-1-100004444-4-4-21-2-2111-2-1-122000000000000-220011-1-10000
χ314-4-444-41-2-1-122-21-221-100000000000000000000−i3i3−i3i34-4-444-41-2-1-122-21-221-100000000000000000000−i3i3−i3i3
χ324-4-444-41-2-1-122-21-221-100000000000000000000i3−i3i3−i34-4-444-41-2-1-122-21-221-100000000000000000000i3−i3i3−i3
χ334-4-444-4-2122-1-11-21-1-220000000000000000−i3i3−i3i300004-4-444-4-2122-1-11-21-1-220000000000000000−i3i3−i3i30000
χ344-4-444-4-2122-1-11-21-1-220000000000000000i3−i3i3−i300004-4-444-4-2122-1-11-21-1-220000000000000000i3−i3i3−i30000
χ354-4-44-441-2-1-122-212-2-1100000000000000000000−i3i3i3−i34-4-44-441-2-1-122-212-2-1100000000000000000000−i3i3i3−i3
χ364-4-44-441-2-1-122-212-2-1100000000000000000000i3−i3−i3i34-4-44-441-2-1-122-212-2-1100000000000000000000i3−i3−i3i3
χ374-4-44-44-2122-1-11-2-112-20000000000000000−i3i3i3−i300004-4-44-44-2122-1-11-2-112-20000000000000000−i3i3i3−i30000
χ384-4-44-44-2122-1-11-2-112-20000000000000000i3−i3−i3i300004-4-44-44-2122-1-11-2-112-20000000000000000i3−i3−i3i30000
χ3988-8-8002-42-2-444-2000000000000000000000000000088-8-8002-42-2-444-20000000000000000000000000000
χ4088-8-800-42-442-2-24000000000000000000000000000088-8-800-42-442-2-240000000000000000000000000000
χ418-88-8002-4-224-44-200000000000000000000000000008-88-8002-4-224-44-20000000000000000000000000000
χ428-88-800-424-4-22-2400000000000000000000000000008-88-800-424-4-22-240000000000000000000000000000
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
χ44111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ451111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ461111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ471111-1-111111111-1-1-1-1-1-1111111-1-1-1-11-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-111-1-111
χ481111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-111-1-1
χ491111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-11111-1-1
χ501111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ51222222222222222222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ522222-2-222222222-2-2-2-222-2-200000000000000000000-2-2-2-222-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ5322-2-200222-22-2-2-20000002-200002i2i−2i−2i000000000000-2-22200-2-2-22-2222000000-220000−2i−2i2i2i000000000000
χ5422-2-200222-22-2-2-20000002-20000−2i−2i2i2i000000000000-2-22200-2-2-22-2222000000-2200002i2i−2i−2i000000000000
χ5522-2-200222-22-2-2-2000000-222i2i−2i−2i0000000000000000-2-22200-2-2-22-22220000002-2−2i−2i2i2i0000000000000000
χ5622-2-200222-22-2-2-2000000-22−2i−2i2i2i0000000000000000-2-22200-2-2-22-22220000002-22i2i−2i−2i0000000000000000
χ572-22-20022-22-22-2-200002-200−i2i2−i2i2−i2i2−i2i2000000000000-22-2200-2-22-22-2220000-2200i2−i2i2−i2i2−i2i2−i2000000000000
χ582-22-20022-22-22-2-200002-200i2−i2i2−i2i2−i2i2−i2000000000000-22-2200-2-22-22-2220000-2200−i2i2−i2i2−i2i2−i2i2000000000000
χ592-22-20022-22-22-2-20000-2200−i2i2−i2i2i2−i2i2−i2000000000000-22-2200-2-22-22-22200002-200i2−i2i2−i2−i2i2−i2i2000000000000
χ602-22-20022-22-22-2-20000-2200i2−i2i2−i2−i2i2−i2i2000000000000-22-2200-2-22-22-22200002-200−i2i2−i2i2i2−i2i2−i2000000000000
χ612-2-222-222-2-2-2-2222-22-200002−2−222−2−22000000000000-222-2-22-2-22222-2-2-22-220000−222−2−222−2000000000000
χ622-2-222-222-2-2-2-2222-22-20000−222−2−222−2000000000000-222-2-22-2-22222-2-2-22-2200002−2−222−2−22000000000000
χ632-2-22-2222-2-2-2-222-22-2200002−2−22−222−2000000000000-222-22-2-2-22222-2-22-22-20000−222−22−2−22000000000000
χ642-2-22-2222-2-2-2-222-22-220000−222−22−2−22000000000000-222-22-2-2-22222-2-22-22-200002−2−22−222−2000000000000
χ654444441-211-2-2-21-2-21100000000000000220000-1-1-1-1-4-4-4-4-4-4-12-1-1222-122-1-100000000000000-2-200001111
χ664444441-211-2-2-21-2-21100000000000000-2-200001111-4-4-4-4-4-4-12-1-1222-122-1-100000000000000220000-1-1-1-1
χ67444444-21-2-2111-211-2-20000000000002200-1-1-1-10000-4-4-4-4-4-42-122-1-1-12-1-122000000000000-2-20011110000
χ68444444-21-2-2111-211-2-2000000000000-2-20011110000-4-4-4-4-4-42-122-1-1-12-1-1220000000000002200-1-1-1-10000
χ694444-4-41-211-2-2-2122-1-1000000000000002-20000-1-111-4-4-4-444-12-1-1222-1-2-21100000000000000-22000011-1-1
χ704444-4-41-211-2-2-2122-1-100000000000000-22000011-1-1-4-4-4-444-12-1-1222-1-2-211000000000000002-20000-1-111
χ714444-4-4-21-2-2111-2-1-1220000000000002-200-1-1110000-4-4-4-4442-122-1-1-1211-2-2000000000000-220011-1-10000
χ724444-4-4-21-2-2111-2-1-122000000000000-220011-1-10000-4-4-4-4442-122-1-1-1211-2-20000000000002-200-1-1110000
χ734-4-444-41-2-1-122-21-221-100000000000000000000−i3i3−i3i3-444-4-44-1211-2-22-12-2-1100000000000000000000i3−i3i3−i3
χ744-4-444-41-2-1-122-21-221-100000000000000000000i3−i3i3−i3-444-4-44-1211-2-22-12-2-1100000000000000000000−i3i3−i3i3
χ754-4-444-4-2122-1-11-21-1-220000000000000000−i3i3−i3i30000-444-4-442-1-2-211-12-112-20000000000000000i3−i3i3−i30000
χ764-4-444-4-2122-1-11-21-1-220000000000000000i3−i3i3−i30000-444-4-442-1-2-211-12-112-20000000000000000−i3i3−i3i30000
χ774-4-44-441-2-1-122-212-2-1100000000000000000000−i3i3i3−i3-444-44-4-1211-2-22-1-221-100000000000000000000i3−i3−i3i3
χ784-4-44-441-2-1-122-212-2-1100000000000000000000i3−i3−i3i3-444-44-4-1211-2-22-1-221-100000000000000000000−i3i3i3−i3
χ794-4-44-44-2122-1-11-2-112-20000000000000000−i3i3i3−i30000-444-44-42-1-2-211-121-1-220000000000000000i3−i3−i3i30000
χ804-4-44-44-2122-1-11-2-112-20000000000000000i3−i3−i3i30000-444-44-42-1-2-211-121-1-220000000000000000−i3i3i3−i30000
χ8188-8-8002-42-2-444-20000000000000000000000000000-8-88800-24-224-4-420000000000000000000000000000
χ8288-8-800-42-442-2-240000000000000000000000000000-8-888004-24-4-222-40000000000000000000000000000
χ838-88-8002-4-224-44-20000000000000000000000000000-88-8800-242-2-44-420000000000000000000000000000
χ848-88-800-424-4-22-240000000000000000000000000000-88-88004-2-442-22-40000000000000000000000000000

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