Finite Group Databasebeta

← Group #11896005

Character table — Group #11896005

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order122233446666663446668812121212412121212121224242424242424244444121212121212121212124422446666881212242424244448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1111111-1-11-11-111-1-11-11-111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-11-1-111111111-1-1-11-11-1-111-11-11-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-111-1-1-1-11-1-1-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11-1-1111-1-1-111-1-1-111-11111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-111-1-1-1111-1-1111-1-1-111111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111111-1-1-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-11-111-1-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-1-11-11-111-1-1-11-11-1-111-111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-111-1-1-111-111-1-1-111-1-1-1111-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-11-1-1111-1-11-1-1111-1-1-1-1-111-111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-11111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-2-2-2-2-2000000220000000000220000-20000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-22-2-222000000-2-200000000002-2000020000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-222-2-2000000-2-20000000000-22000020000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-2222222000000220000000000-2-20000-20000000
χ2122222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-1020200-1-12-1-1-1-1-100020200-1-1020-100-1-1000000-10
χ2222222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-20-200112-1-1-1-1-1000-20-200110-201001100000010
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-2111111020200-1-1-21-1-11100020-200-1-10-20-1001100000010
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-20-20011-21-1-111000-2020011020100-1-1000000-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020200-1-1-211111000-20-20011020-100-1-100000010
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-20-20011-21111100020200-1-10-2010011000000-10
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111020200-1-12-111-1-1000-20200110-20-10011000000-10
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110-20-200112-111-1-100020-200-1-1020100-1-100000010
χ292222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-12020-1-100-12-1-1-1-1002020-1-10020-10-1-10000000-100
χ302222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-201100-12-1-1-1-100-20-201100-2010110000000100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-211112020-1-1001-2-1-1110020-20-1-100-20-10110000000100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-2011001-2-1-11100-202011002010-1-10000000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-12020-1-1001-2111100-20-20110020-10-1-10000000100
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-2011001-21111002020-1-100-2010110000000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-211112020-1-100-1211-1-100-20201100-20-10110000000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-201100-1211-1-10020-20-1-1002010-1-10000000100
χ372-22-2222-222-2-2-2-222i−2i2-2-200-2-22202i−2i2i−2i-220000000000000000002i−2i0000000000000000000002-22i−2i000
χ382-22-2222-222-2-2-2-222i−2i2-2-200-2-22202i−2i2i−2i-220000000000000000002i−2i000000000000000000000-22−2i2i000
χ392-22-2222-222-2-2-2-22−2i2i2-2-200-2-2220−2i2i−2i2i-22000000000000000000−2i2i0000000000000000000002-2−2i2i000
χ402-22-2222-222-2-2-2-22−2i2i2-2-200-2-2220−2i2i−2i2i-22000000000000000000−2i2i000000000000000000000-222i−2i000
χ4144444-2-4-44-24-24-2-200-2-2-200-42-42000002200000000040-400220000000000000000000-2000000000000
χ4244444-2-4-44-24-24-2-200-2-2-200-42-420000022000000000-40400-2-200000000000000000002000000000000
χ434444-24-4-4-24-24-24-200-2-2-2002-42-400000220000000040-402200000000000000000000-20000000000000
χ444444-24-4-4-24-24-24-200-2-2-2002-42-4000002200000000-4040-2-20000000000000000000020000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000002211-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-2-1-11100000000000000000000000000
χ4944-4-44400-4-444-4-4400-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ5044-4-44400-4-444-4-4400-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ5144-4-44-200-424-2-42-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200000023−230000000000000000000000i6−i600000000
χ5244-4-44-200-424-2-42-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000−23230000000000000000000000−i6i600000000
χ5344-4-44-200-424-2-42-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200000023−230000000000000000000000−i6i600000000
χ5444-4-44-200-424-2-42-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000−23230000000000000000000000i6−i600000000
χ5544-4-4-24002-4-242-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000023−230000000000000000000000i6−i60000000000
χ5644-4-4-24002-4-242-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000−23230000000000000000000000−i6i60000000000
χ5744-4-4-24002-4-242-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000023−230000000000000000000000−i6i60000000000
χ5844-4-4-24002-4-242-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000−23230000000000000000000000i6−i60000000000
χ594-44-444-4444-4-4-4-44004-4-40044-4-4000004-4000000000000000000000000000000000000000000000000
χ604-44-44-24-44-2-42-42-24i−4i-22200-424-204i−4i−2i2i2-2000000000000000000−2i2i0000000000000000000000000000
χ614-44-44-24-44-2-42-42-2−4i4i-22200-424-20−4i4i2i−2i2-20000000000000000002i−2i0000000000000000000000000000
χ624-44-44-2-444-2-42-42-200-222004-2-4200000-22000000000000000000000000000000−2i32i30000000000000000
χ634-44-44-2-444-2-42-42-200-222004-2-4200000-220000000000000000000000000000002i3−2i30000000000000000
χ644-44-4-244-4-242-42-4-24i−4i-222002-4-240−2i2i4i−4i2-2000000000000000000−2i2i0000000000000000000000000000
χ654-44-4-244-4-242-42-4-2−4i4i-222002-4-2402i−2i−4i4i2-20000000000000000002i−2i0000000000000000000000000000
χ664-44-4-24-44-242-42-4-200-22200-242-400000-220000000000000000000000000000−2i32i3000000000000000000
χ674-44-4-24-44-242-42-4-200-22200-242-400000-2200000000000000000000000000002i3−2i3000000000000000000
χ684-44-4-2-24-4-2-2222214i−4i1-1-10022-2-20−2i2i−2i2i-1100003-33-30000000000i−i3i−3i00000000000000000000000000
χ694-44-4-2-24-4-2-2222214i−4i1-1-10022-2-20−2i2i−2i2i-110000-33-330000000000i−i−3i3i00000000000000000000000000
χ704-44-4-2-24-4-2-222221−4i4i1-1-10022-2-202i−2i2i−2i-1100003-33-30000000000−ii−3i3i00000000000000000000000000
χ714-44-4-2-24-4-2-222221−4i4i1-1-10022-2-202i−2i2i−2i-110000-33-330000000000−ii3i−3i00000000000000000000000000
χ724-4-444400-4-4-4-444400-4-44000000000000000000000000000000000004-4000000000000000000000000
χ734-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000-44000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-40044-4-444200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7688-8-8-4-40044-4-444200-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ778-88-8-4-4-88-4-444442002-2-200-4-444000002-2000000000000000000000000000000000000000000000000
χ788-8-888-400-84-848-4-40044-40000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-84-8-48-40044-40000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-4200-2-2200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-4200-2-22000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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