Finite Group Databasebeta

← Group #11780246

Character table — Group #11780246

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222224444444444444448888888881212121212121212121212121616161616161616242424242424242424242424363636364848487272
order1222334444666666346661212121212121212121244121212121212128888242424242424242412121212121212128888242424242424242444444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-1
χ71111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-11
χ92222222-22-22222222-2222-2-2-2222-2-2-2200-2-2-2-2-222000000000000000000000000000000000022000-20
χ102222222-22-22222222-2222-2-2-2222-2-2-2200-2-2-2-2-2220000000000000000000000000000000000-2-200020
χ11222222-22-222222222-2222222-2-2-2-2-22-200-222-2-2-2-20000000000000000000000000000000022000000-2
χ12222222-22-222222222-2222222-2-2-2-2-22-200-222-2-2-2-200000000000000000000000000000000-2-20000002
χ13222222-2-2-2-222222222222-2-2-2-2-2-222-2-22-22-2-222-2-20000000000002-22-222-2-2000000000000000000000
χ14222222-2-2-2-222222222222-2-2-2-2-2-222-2-2-222-2-222-2-2000000000000-22-22-2-222000000000000000000000
χ1522222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000002-1-100
χ1622222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-10000000000000000-21100
χ1722222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-122-2-22-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111110000000000000000-21100
χ1822222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-122-2-22-1-1-1-1-1-1-2-2-2-211111111-2-211111100000000000000002-1-100
χ1922222-1-2-2-2-222-1-12-1-12-1-1-1-211-211-1-1-2-22-2211-1-1110000−i3−i3−i3−i3i3i3i3i32-2-11-1-11100000000000000000−i3i300
χ2022222-1-2-2-2-222-1-12-1-12-1-1-1-211-211-1-1-2-22-2211-1-1110000i3i3i3i3−i3−i3−i3−i32-2-11-1-11100000000000000000i3−i300
χ2122222-1-2-2-2-222-1-12-1-12-1-1-1-211-211-1-1-2-2-22211-1-1110000−i3−i3−i3−i3i3i3i3i3-221-111-1-100000000000000000i3−i300
χ2222222-1-2-2-2-222-1-12-1-12-1-1-1-211-211-1-1-2-2-22211-1-1110000i3i3i3i3−i3−i3−i3−i3-221-111-1-100000000000000000−i3i300
χ232222-122222-1-122-12-12-1-1-1-122-12222-1-122-1-1-1-1-1-1-1000000000000-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000
χ242222-122222-1-122-12-12-1-1-1-122-12222-1-122-1-1-1-1-1-1-1000000000000-1-122-1-1-1-1-2-2-2-211111111000000000
χ252222-122222-1-122-12-12-1-1-1-122-12222-1-1-2-2-1-1-1-1-1-1-100000000000011-2-2111122-2-2-1-1-1-11111000000000
χ262222-122222-1-122-12-12-1-1-1-122-12222-1-1-2-2-1-1-1-1-1-1-100000000000011-2-21111-2-2221111-1-1-1-1000000000
χ272222-12-2-2-2-2-1-122-12-12-1-1-11-2-21-2-222112-2-111-1-111000000000000-112-2-1-111000033−3−333−3−3000000000
χ282222-12-2-2-2-2-1-122-12-12-1-1-11-2-21-2-222112-2-111-1-111000000000000-112-2-1-1110000−3−333−3−333000000000
χ292222-12-2-2-2-2-1-122-12-12-1-1-11-2-21-2-22211-22-111-1-1110000000000001-1-2211-1-1000033−3−3−3−333000000000
χ302222-12-2-2-2-2-1-122-12-12-1-1-11-2-21-2-22211-22-111-1-1110000000000001-1-2211-1-10000−3−33333−3−3000000000
χ3122-2-22220-20-2-2-2-22220-2-2200022-2000-200000002-222−2−222−2−222−2−20000000000−i2i20000−i2i2−i2i2002i−2i00000
χ3222-2-22220-20-2-2-2-22220-2-2200022-2000-200000002-222−2−222−2−222−2−20000000000i2−i20000i2−i2i2−i200−2i2i00000
χ3322-2-22220-20-2-2-2-22220-2-2200022-2000-200000002-2−2−222−2−222−2−2220000000000−i2i20000−i2i2−i2i200−2i2i00000
χ3422-2-22220-20-2-2-2-22220-2-2200022-2000-200000002-2−2−222−2−222−2−2220000000000i2−i20000i2−i2i2−i2002i−2i00000
χ352-2-22220-2022-22-2-2-2202-2-2-22-200000200002-200002−22−22−22−22−22−200000000−i2i200−i2i2−i2i200002i−2i0000000
χ362-2-22220-2022-22-2-2-2202-2-2-22-200000200002-200002−22−22−22−22−22−200000000i2−i200i2−i2i2−i20000−2i2i0000000
χ372-2-22220-2022-22-2-2-2202-2-2-22-200000200002-20000−22−22−22−22−22−2200000000−i2i200−i2i2−i2i20000−2i2i0000000
χ382-2-22220-2022-22-2-2-2202-2-2-22-200000200002-20000−22−22−22−22−22−2200000000i2−i200i2−i2i2−i200002i−2i0000000
χ3944444-24-44-444-2-24-2-2-4-2-2-2-4224-2-222-4400-42222-2-200000000000000000000000000000000000000000
χ4044444-2-44-4444-2-24-2-2-4-2-2-24-2-2-422224-400-4-2-2222200000000000000000000000000000000000000000
χ414444-244-44-4-2-244-24-2-4-2-2-22-4-4-244-4-42-20022222-2-200000000000000000000000000000000000000000
χ424444-24-44-44-2-244-24-2-4-2-2-2-2442-4-4-4-4-22002-2-2222200000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-244-2111111000000000000-2-2-2-21111000000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-4-4-21111110000000000002222-1-1-1-1000000000000000000000
χ454444-2-24-44-4-2-2-2-2-2-21-4111222-2-2-2222-2002-1-1-1-11100000000000000003-33-3000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111222-2-2-2222-2002-1-1-1-1110000000000000000-33-33000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-4111-2-2-222222-2200211-1-1-1-100000000000000003-3-33000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-4111-2-2-222222-2200211-1-1-1-10000000000000000-333-3000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-2224-4-2-1-111-1-1000000000000-22-2211-1-1000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-222-44-2-1-111-1-10000000000002-22-2-1-111000000000000000000000
χ5144-4-444-4040-4-4-4-44440-4-44000-4-4400040000000-4400000000000000000000000000000000000000000
χ5244-4-44-240-40-4-4224-2-2022-20004-22000-40000000-222222−22−22−2−222−2−22200000000000000000000000000000
χ5344-4-44-240-40-4-4224-2-2022-20004-22000-40000000-22−22−22222222−2−222−2−200000000000000000000000000000
χ5444-4-44-2-4040-4-4224-2-2022-2000-42-2000400000002-20000i6i6−i6−i6−i6−i6i6i600000000000000000000000000000
χ5544-4-44-2-4040-4-4224-2-2022-2000-42-2000400000002-20000−i6−i6i6i6i6i6−i6−i600000000000000000000000000000
χ5644-4-4-2440-4022-4-4-24-2022-2000-24-400020000000-220000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ5744-4-4-2440-4022-4-4-24-2022-2000-24-400020000000-2200000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ5844-4-4-24-404022-4-4-24-2022-20002-44000-200000002-20000000000000000000000000000i6−i6−i6i6000000000
χ5944-4-4-24-404022-4-4-24-2022-20002-44000-200000002-20000000000000000000000000000−i6i6i6−i6000000000
χ604-44-4440000-44-44-4-440-44-400000000000000000002-2-222-2-222-2-2200000000000000000000000000000
χ614-44-4440000-44-44-4-440-44-40000000000000000000-222-2-222-2-222-200000000000000000000000000000
χ624-44-44-20000-442-2-42-202-22000000−2i32i30000000−2i32i3002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000000000000
χ634-44-44-20000-442-2-42-202-22000000−2i32i30000000−2i32i300-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000000000000
χ644-44-44-20000-442-2-42-202-220000002i3−2i300000002i3−2i3002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000000000000
χ654-44-44-20000-442-2-42-202-220000002i3−2i300000002i3−2i300-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000000000000
χ664-4-4444040-44-44-4-4-4404-4-44-4400000-40000-44000000000000000000000000000000000000000000000
χ674-4-444-2040-44-4-22-42-20-22242-200000-400002-200000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000000
χ684-4-444-2040-44-4-22-42-20-22242-200000-400002-200000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000
χ694-4-444-20-4044-4-22-42-20-222-4-220000040000-22000022−2222−22−22−22−22−2200000000000000000000000000000
χ704-4-444-20-4044-4-22-42-20-222-4-220000040000-220000−2222−22222−22−22−22−200000000000000000000000000000
χ714-4-44-24040-4-224-42-4-20-222-2-4400000200002-20000000000000000000000000000i6−i6−i6i60000000000000
χ724-4-44-24040-4-224-42-4-20-222-2-4400000200002-20000000000000000000000000000−i6i6i6−i60000000000000
χ734-4-44-240-404-224-42-4-20-22224-400000-20000-22000000000000000000000000−2i22i200i2−i2i2−i20000000000000
χ744-4-44-240-404-224-42-4-20-22224-400000-20000-220000000000000000000000002i2−2i200−i2i2−i2i20000000000000
χ7588-8-8-4-480-804444-4-420-2-22000-4-44000400000002-200000000000000000000000000000000000000000
χ7688-8-8-4-4-80804444-4-420-2-2200044-4000-40000000-2200000000000000000000000000000000000000000
χ778-88-8-4800004-4-884-8-404-44000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4-400004-44-44420-22-2000000−4i34i300000002i3−2i30000000000000000000000000000000000000000000
χ798-88-8-4-400004-44-44420-22-20000004i3−4i30000000−2i32i30000000000000000000000000000000000000000000
χ808-8-88-4-4080-8-44-4444202-2-2-44-40000040000-22000000000000000000000000000000000000000000000
χ818-8-88-4-40-808-44-4444202-2-24-4400000-400002-2000000000000000000000000000000000000000000000

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