Finite Group Databasebeta

← Group #11867827

Character table — Group #11867827

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order122233446666668888366612121212242424242424242444121224242424224466668888121212122424242424242424121212121212121222444444881212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-11-11-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1111
χ71111111111111111111111111111111111-1-1111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-11-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-11
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-111-111-111-11-1
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-11111-1-111-1
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1111111-1-1-1-111-1-1-11
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-11-1
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-1-11111-1-11-11
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-111-111-111-1-11
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1111111-1-111-1-1-1-1111-1
χ17222222-2-222222200002222-2-2-2-20000000000-2-2000022-2-222220000-2-2-2-20000000000000000-2-222000000000000
χ18222222-2-222222200002222-2-2-2-20000000000-2-200002-2-2222-2-20000-2-222000000000000000022-2-2000000000000
χ19222222-2-222222200002222-2-2-2-20000000000-2-20000-222-2-2-222000022-2-2000000000000000022-2-2000000000000
χ20222222-2-222222200002222-2-2-2-20000000000-2-20000-2-222-2-2-2-2000022220000000000000000-2-222000000000000
χ2122222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-122-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-12-12-1-1-1-1-100000202000-10-100
χ2222222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-122-1-1-1-1-1-10-20-2001100-2-20011000011112-12-1-1-1-1-100000-20-200010100
χ2322222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-1-2-2-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-1-21-21111100000-20-200010100
χ2422222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-1-2-2-1-1-1-1-1-10-20-2001100-2-2001100001111-21-21111100000202000-10-100
χ2522222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-211112-2-1-11111020200-1-100-2-200-1-1000011112-1-21-1-11100000-20200010-100
χ2622222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-211112-2-1-111110-20-20011002200110000-1-1-1-12-1-21-1-1110000020-2000-10100
χ2722222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111-22-1-11111020200-1-100-2-200-1-100001111-212-111-1-10000020-2000-10100
χ2822222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111-22-1-111110-20-20011002200110000-1-1-1-1-212-111-1-100000-20200010-100
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-1222222-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-10000-12-12-1-1-1-10000202000-10-1000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-1222222-1-1-1-1-1-1-20-201100-2-200110011110000-12-12-1-1-1-10000-20-2000101000
χ312222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-2-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-100001-21-211110000-20-2000101000
χ322222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-2-1-1-1-1-1-1-20-201100-2-2001100111100001-21-211110000202000-10-1000
χ332222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22-2-1-111112020-1-100-2-200-1-10011110000-121-2-1-1110000-20200010-1000
χ342222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22-2-1-11111-20-20110022001100-1-1-1-10000-121-2-1-111000020-2000-101000
χ352222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-22-1-111112020-1-100-2-200-1-100111100001-2-1211-1-1000020-2000-101000
χ362222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-22-1-11111-20-20110022001100-1-1-1-100001-2-1211-1-10000-20200010-1000
χ372-2-22222-2-2-2-2-2222i2i−2i−2i2-2-2222-2-22i2i−2i−2i2i2i−2i−2i002-22i2i−2i−2i000000000000000000000000000000002-22-200002i−2i000000
χ382-2-22222-2-2-2-2-2222i2i−2i−2i2-2-2222-2-22i2i−2i−2i2i2i−2i−2i002-22i2i−2i−2i00000000000000000000000000000000-22-220000−2i2i000000
χ392-2-22222-2-2-2-2-222−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i002-2−2i−2i2i2i000000000000000000000000000000002-22-20000−2i2i000000
χ402-2-22222-2-2-2-2-222−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i002-2−2i−2i2i2i00000000000000000000000000000000-22-2200002i−2i000000
χ412-2-2222-22-2-2-2-22200002-2-22-2-2220000000000-220000000000002-22-2000022-2-222-2-2000000002-2-22000000000000
χ422-2-2222-22-2-2-2-22200002-2-22-2-2220000000000-220000000000002-2-22000022-2-2-2-22200000000-222-2000000000000
χ432-2-2222-22-2-2-2-22200002-2-22-2-2220000000000-22000000000000-222-20000-2-22222-2-200000000-222-2000000000000
χ442-2-2222-22-2-2-2-22200002-2-22-2-2220000000000-22000000000000-22-220000-2-222-2-222000000002-2-22000000000000
χ4544444-2-4-44-24-24-20000-2-2-2-2-42-420000000000220000040-400-2-20000002200000000000000000000000000000000
χ4644444-2-4-44-24-24-20000-2-2-2-2-42-4200000000002200000-4040022000000-2-200000000000000000000000000000000
χ474444-24-4-4-24-24-240000-2-2-2-22-42-4000000000022000040-40-2-2000000220000000000000000000000000000000000
χ484444-24-4-4-24-24-240000-2-2-2-22-42-40000000000220000-404022000000-2-20000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-244111111000000000000000000000000-2-2-2-211110000000000000000
χ504444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-2-4-41111110000000000000000000000002222-1-1-1-10000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222224-411-1-1-1-1000000000000000000000000-2-22211-1-10000000000000000
χ524444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222-4411-1-1-1-100000000000000000000000022-2-2-1-1110000000000000000
χ5344-4-44400-4-444-4-4−2i22i2−2i22i24-44-40000−2i22i2−2i22i2−2i22i2−2i22i20000−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ5444-4-44400-4-444-4-42i2−2i22i2−2i24-44-400002i2−2i22i2−2i22i2−2i22i2−2i200002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ5544-4-44-200-424-2-42−2i22i2−2i22i2-22-220000−2i22i2−2i22i2i2−i2i2−i20000i2−i2i2−i20000000000000023−230000i6−i6i6−i6000000000000000000000000
χ5644-4-44-200-424-2-42−2i22i2−2i22i2-22-220000−2i22i2−2i22i2i2−i2i2−i20000i2−i2i2−i200000000000000−23230000−i6i6−i6i6000000000000000000000000
χ5744-4-44-200-424-2-422i2−2i22i2−2i2-22-2200002i2−2i22i2−2i2−i2i2−i2i20000−i2i2−i2i20000000000000023−230000−i6i6−i6i6000000000000000000000000
χ5844-4-44-200-424-2-422i2−2i22i2−2i2-22-2200002i2−2i22i2−2i2−i2i2−i2i20000−i2i2−i2i200000000000000−23230000i6−i6i6−i6000000000000000000000000
χ5944-4-4-24002-4-242-4−2i22i2−2i22i2-22-220000i2−i2i2−i2−2i22i2−2i22i20000i2−i2i2−i200000000000023−2300i6−i6i6−i60000000000000000000000000000
χ6044-4-4-24002-4-242-4−2i22i2−2i22i2-22-220000i2−i2i2−i2−2i22i2−2i22i20000i2−i2i2−i2000000000000−232300−i6i6−i6i60000000000000000000000000000
χ6144-4-4-24002-4-242-42i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i20000−i2i2−i2i200000000000023−2300−i6i6−i6i60000000000000000000000000000
χ6244-4-4-24002-4-242-42i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i20000−i2i2−i2i2000000000000−232300i6−i6i6−i60000000000000000000000000000
χ634-44-4440044-4-4-4-422−22−222244-4-4000022−22−222222−22−2222000022−22−2222000000000000000000000000000000000000000000000000
χ644-44-4440044-4-4-4-4−222222−2244-4-40000−222222−22−222222−220000−222222−22000000000000000000000000000000000000000000000000
χ654-44-44-2004-2-42-4222−22−2222-2-222000022−22−2222−222−20000−222−2000000−2i32i3000000000000i6−i6−i6i6000000000000000000000000
χ664-44-44-2004-2-42-4222−22−2222-2-222000022−22−2222−222−20000−222−20000002i3−2i3000000000000−i6i6i6−i6000000000000000000000000
χ674-44-44-2004-2-42-42−222222−22-2-2220000−222222−222−2−2200002−2−22000000−2i32i3000000000000−i6i6i6−i6000000000000000000000000
χ684-44-44-2004-2-42-42−222222−22-2-2220000−222222−222−2−2200002−2−220000002i3−2i3000000000000i6−i6−i6i6000000000000000000000000
χ694-44-4-2400-242-42-422−22−2222-2-2220000−222−222−22−22220000−222−20000−2i32i30000000000i6−i6−i6i60000000000000000000000000000
χ704-44-4-2400-242-42-422−22−2222-2-2220000−222−222−22−22220000−222−200002i3−2i30000000000−i6i6i6−i60000000000000000000000000000
χ714-44-4-2400-242-42-4−222222−22-2-22200002−2−22−222222−2200002−2−220000−2i32i30000000000−i6i6i6−i60000000000000000000000000000
χ724-44-4-2400-242-42-4−222222−22-2-22200002−2−22−222222−2200002−2−2200002i3−2i30000000000i6−i6−i6i60000000000000000000000000000
χ734-4-444-24-4-42-424-24i4i−4i−4i-222-24-2-424i4i−4i−4i−2i−2i2i2i00-22−2i−2i2i2i000000000000000000000000000000000000000000000000
χ744-4-444-24-4-42-424-2−4i−4i4i4i-222-24-2-42−4i−4i4i4i2i2i−2i−2i00-222i2i−2i−2i000000000000000000000000000000000000000000000000
χ754-4-444-2-44-42-424-20000-222-2-424-200000000002-2000000000000004-400000000-2-222000000000000000000000000
χ764-4-444-2-44-42-424-20000-222-2-424-200000000002-200000000000000-440000000022-2-2000000000000000000000000
χ774-4-44-244-42-42-4-244i4i−4i−4i-222-2-242-4−2i−2i2i2i4i4i−4i−4i00-22−2i−2i2i2i000000000000000000000000000000000000000000000000
χ784-4-44-244-42-42-4-24−4i−4i4i4i-222-2-242-42i2i−2i−2i−4i−4i4i4i00-222i2i−2i−2i000000000000000000000000000000000000000000000000
χ794-4-44-24-442-42-4-240000-222-22-4-2400000000002-20000000000004-4000000-2-2220000000000000000000000000000
χ804-4-44-24-442-42-4-240000-222-22-4-2400000000002-2000000000000-4400000022-2-20000000000000000000000000000
χ814-4-44-2-24-42222-2-24i4i−4i−4i1-1-11-2-222−2i−2i2i2i−2i−2i2i2i001-1ii−i−i00000000000000000000000000003i−3i3-30000000000000000
χ824-4-44-2-24-42222-2-24i4i−4i−4i1-1-11-2-222−2i−2i2i2i−2i−2i2i2i001-1ii−i−i0000000000000000000000000000−3i3i-330000000000000000
χ834-4-44-2-24-42222-2-2−4i−4i4i4i1-1-11-2-2222i2i−2i−2i2i2i−2i−2i001-1−i−iii00000000000000000000000000003i−3i-330000000000000000
χ844-4-44-2-24-42222-2-2−4i−4i4i4i1-1-11-2-2222i2i−2i−2i2i2i−2i−2i001-1−i−iii0000000000000000000000000000−3i3i3-30000000000000000
χ858888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-4-444−4i24i2−4i24i22-22-200002i2−2i22i2−2i22i2−2i22i2−2i20000−i2i2−i2i2000000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-4-4444i2−4i24i2−4i22-22-20000−2i22i2−2i22i2−2i22i2−2i22i20000i2−i2i2−i2000000000000000000000000000000000000000000000000
χ888-88-8-4-400-4-4444442−42−424222-2-20000−222222−22−222222−2200002−2−22000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4-44444−424242−4222-2-2000022−22−222222−22−22220000−222−2000000000000000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-400002-2-2244-4-40000000000-220000000000000000000000000000000000000000000000000000

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