Finite Group Databasebeta

← #7514266

Subgroups — #7514266

Order 512.

3464 conjugacy classes of subgroups.

The subgroup lattice has 1875 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3C2×#3007C211yesmaximal, characteristic, complemented
4C22×#449C211yesmaximal, characteristic, complemented
5#58996C211yesmaximal, characteristic, complemented
6#36212C211yesmaximal, characteristic, complemented
7#31059C211yesmaximal, characteristic, complemented
8#30512C211yesmaximal, characteristic, complemented
9#30475C211yesmaximal, characteristic, complemented
10#30446C211yesmaximal, characteristic, complemented
11#25797C211yesmaximal, characteristic, complemented
12#25776C211yesmaximal, characteristic, complemented
13#25762C211yesmaximal, characteristic, complemented
14#25170C211yesmaximal, characteristic, complemented
15#25158C211yesmaximal, characteristic, complemented
16#25133C211yesmaximal, characteristic, complemented
17#25126C211yesmaximal, characteristic, complemented
18#25092C211yesmaximal, characteristic, complemented
19#25086C211yesmaximal, characteristic, complemented
20#24444C211yesmaximal, characteristic, complemented
21#24432C211yesmaximal, characteristic, complemented
22#24384C211yesmaximal, characteristic, complemented
23#24381C211yesmaximal, characteristic, complemented
24#24377C211yesmaximal, characteristic, complemented
25#24355C211yesmaximal, characteristic, complemented
26#23871C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23852C211yesmaximal, characteristic, complemented
29#22874C211yesmaximal, characteristic, complemented
30#22866C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×#137C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic
38C2×#548C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic, complemented
45#3275—28no—
46#3264—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#495C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#464C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3007—28no—
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#452C2211yescharacteristic, complemented
68C2×#449—28no—
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic
71C2×#449C2211yescharacteristic
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#449C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#451C2211yescharacteristic, complemented
79C2×#451C2211yescharacteristic, complemented
80C2×#448C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic, complemented
86C2×#442C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic
90C2×#417C2211yescharacteristic, complemented
91C2×#417C2211yescharacteristic, complemented
92C22×#103C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic
94C2×#407C2211yescharacteristic, complemented
95C22×C22⋊C8C2211yescharacteristic, complemented
96#2849—21no—
97#2847C2211yescharacteristic
98#2681—21no—
99#2676—21no—
100#2540C2211yescharacteristic, complemented
101#2472—21no—
102#2443—21no—
103#2437—21no—
104#2436C2211yescharacteristic
105#2436C2211yescharacteristic, complemented
106#2435C2211yescharacteristic, complemented
107#2431C2211yescharacteristic, complemented
108#2431C2211yescharacteristic, complemented
109#2430—21no—
110#2430—21no—
111#2427C2211yescharacteristic, complemented
112#2426C2211yescharacteristic, complemented
113#2417C2211yescharacteristic
114#2416—21no—
115#2416C2211yescharacteristic, complemented
116#2410—21no—
117#2410—21no—
118#2409C2211yescharacteristic
119#2407C2211yescharacteristic, complemented
120#2407C2211yescharacteristic, complemented
121#2407C2211yescharacteristic, complemented
122#2404—21no—
123#2404—21no—
124#2403—21no—
125#2361C2211yescharacteristic, complemented
126#2360C2211yescharacteristic, complemented
127#2339C2211yescharacteristic, complemented
128#2339C2211yescharacteristic, complemented
129D4×C22⋊C4—21no—
130D4×C22⋊C4C2211yescharacteristic
131C4×#120C2211yescharacteristic
132C2×#386—21no—
133#2066C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2056C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2035C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2034C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2014C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1971C2211yescharacteristic, complemented
167#1968C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1874C2211yescharacteristic
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic
195#1864C2211yescharacteristic, complemented
196#1864C2211yescharacteristic, complemented
197#1853C2211yescharacteristic, complemented
198#1853C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41—24no—
210C22×#41—24no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41—42no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4—21no—
229C24×C4C2311yescharacteristic
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—24no—
233C2×#137—42no—
234C2×#137—42no—
235C2×#137—42no—
236C2×AGL(1,ℤ/8)—24no—
237C2×AGL(1,ℤ/8)—24no—
238C2×AGL(1,ℤ/8)—42no—
239C22×Q16C2311yescharacteristic
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×SD16—24no—
244C22×SD16—42no—
245C22×SD16—42no—
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×D8—24no—
257C22×D8—24no—
258C22×D8—42no—
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270#548—24no—
271#548—42no—
272#546—24no—
273#546—24no—
274#546—42no—
275#546—42no—
276#546—42no—
277#546—42no—
278D42—24no—
279D42—42no—
280C2×#127C2311yescharacteristic
281C2×#124—21no—
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284C2×#124C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—21no—
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—24no—
294C2×C22⋊Q8—42no—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—24no—
311C2×#121—42no—
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#120—21no—
322C2×#120—21no—
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120D411yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×D4—21no—
330C2×C4×D4—21no—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C22×C4⋊C4—21no—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C22⋊C4—21no—
342C22×C22⋊C4—21no—
343C22×C22⋊C4—21no—
344C22×C22⋊C4—21no—
345C22×C22⋊C4—21no—
346C22×C22⋊C4—21no—
347#496—24no—
348#495—24no—
349#495—42no—
350#470—24no—
351#469—24no—
352#469—24no—
353#469—42no—
354#465—24no—
355#465—42no—
356#464—24no—
357#463—24no—
358#463—24no—
359#463—42no—
360#459—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—42no—
367#451—24no—
368#451—24no—
369#450—24no—
370#450—24no—
371#450D418yescomplemented
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#449—24no—
380#449D418yescomplemented
381#448—24no—
382#447—24no—
383#447—24no—
384#442—24no—
385C4×SD16—24no—
386#436—24no—
387#435—24no—
388C2×#106C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×#106C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395#417—24no—
396#417—24no—
397C2×#103—24no—
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#102—24no—
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431#407—24no—
432C2×C22⋊C8—24no—
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×#97C2311yescharacteristic
445C2×C4×C8C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447#399—21no—
448#398—21no—
449#397—21no—
450#396—21no—
451#396—21no—
452#396—21no—
453#395—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#393—21no—
463#393—21no—
464#393—21no—
465#393—21no—
466#393—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#390—21no—
482#390—21no—
483#390—21no—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#389—21no—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#388—21no—
492#388—21no—
493#387—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386D411yescharacteristic
520#386D411yescharacteristic
521#386D411yescharacteristic
522#385—21no—
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385D411yescharacteristic
529#385D411yescharacteristic
530#385D411yescharacteristic
531#381—21no—
532#381—21no—
533#380—21no—
534#380—21no—
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379—21no—
541#379—21no—
542#379D411yescharacteristic
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
548C2×#95—21no—
549C2×#95—21no—
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
567C25C2×D411yescharacteristic
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—44no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—44no—
597C2×#41—44no—
598C2×#41—44no—
599C2×#41—44no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—416no—
603C2×#41—44no—
604C2×#41—416no—
605C2×#41—416no—
606C2×#41—416no—
607C2×#41C2×D414yes—
608C22×Q8—21no—
609C22×Q8—21no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—41no—
618C22×Q8—41no—
619C22×Q8—41no—
620C22×Q8—41no—
621C22×Q8—41no—
622C22×Q8C2411yescharacteristic
623C22×Q8C2411yescharacteristic
624C22×Q8C2411yescharacteristic
625C22×Q8C2411yescharacteristic
626C22×D4—22no—
627C22×D4—22no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—22no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—22no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—22no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—22no—
653C22×D4—22no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4—41no—
661C22×D4—41no—
662C22×D4—44no—
663C22×D4—44no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4—44no—
667C22×D4—44no—
668C22×D4—44no—
669C22×D4—82no—
670C22×D4—82no—
671C22×D4C2×D411yescharacteristic
672C22×D4C2×D414yes—
673C22×D4C2×D411yescharacteristic
674C22×D4C2×D411yescharacteristic
675C22×D4C2411yescharacteristic
676C22×D4C2411yescharacteristic
677C22×D4C2411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—22no—
683C23×C4—22no—
684C23×C4—22no—
685C23×C4—22no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—21no—
690C23×C4—21no—
691C23×C4—21no—
692C23×C4—21no—
693C23×C4—21no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—41no—
698C23×C4—41no—
699C23×C4—44no—
700C23×C4—44no—
701C23×C4—44no—
702C23×C4C2×D411yescharacteristic
703C23×C4C2×D411yescharacteristic
704C23×C4C2×D411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709#137—416no—
710#137—416no—
711AGL(1,ℤ/8)—416no—
712C2×Q16—22no—
713C2×Q16—22no—
714C2×Q16—22no—
715C2×Q16—22no—
716C2×Q16—22no—
717C2×Q16—22no—
718C2×Q16—22no—
719C2×Q16—22no—
720C2×Q16—41no—
721C2×Q16—41no—
722C2×Q16—41no—
723C2×Q16—41no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—416no—
752C2×SD16C2×D414yescomplemented
753C2×SD16C2×D414yescomplemented
754C2×SD16C2×D414yescomplemented
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—22no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—416no—
773C2×D8C2×D414yes—
774C2×M16—22no—
775C2×M16—22no—
776C2×M16—22no—
777C2×M16—22no—
778C2×M16—22no—
779C2×M16—22no—
780C2×M16—41no—
781C2×M16—41no—
782C2×M16—41no—
783C22×C8—22no—
784C22×C8—22no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8—41no—
788C22×C8—41no—
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797#127—22no—
798#127—41no—
799#124—22no—
800#124—22no—
801#124—22no—
802#124—22no—
803#124—41no—
804#124—41no—
805#124—41no—
806#124—41no—
807#124—41no—
808#124—41no—
809#124—44no—
810#123—44no—
811#123—44no—
812#123—44no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—44no—
829C22⋊Q8C2×D414yes—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—44no—
842#121—44no—
843#121—44no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—82no—
855#121C2×D414yescomplemented
856#120—42no—
857#120—44no—
858#120—44no—
859#120—44no—
860#120—44no—
861#120—44no—
862#120—82no—
863C4×Q8—22no—
864C4×Q8—41no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—44no—
880C4×D4—82no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—22no—
883C2×C4⋊C4—22no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—41no—
896C2×C4⋊C4—41no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—44no—
952C2×C22⋊C4—44no—
953C2×C22⋊C4—44no—
954C2×C22⋊C4—44no—
955C2×C22⋊C4—82no—
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C42—21no—
969C2×C42—21no—
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972C2×C42C2411yescharacteristic
973#106—22no—
974#106—22no—
975#106—41no—
976#106—41no—
977C4⋊C8—22no—
978C4⋊C8—22no—
979C4⋊C8—41no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103C2×D414yescomplemented
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—41no—
1005#102—41no—
1006#102—41no—
1007#102—41no—
1008#102—41no—
1009#102C2×D414yes—
1010#102C2×D414yescomplemented
1011#102C2×D414yescomplemented
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—41no—
1021C22⋊C8C2×D414yes—
1022C22⋊C8C2×D414yescomplemented
1023#97—22no—
1024C4×C8—22no—
1025C4×C8—41no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051C24—21no—
1052C24—22no—
1053C24—21no—
1054C24—21no—
1055C24—22no—
1056C24—24no—
1057C24—22no—
1058C24—22no—
1059C24—21no—
1060C24—21no—
1061C24—41no—
1062C24—41no—
1063C24—41no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24C22×D411yescharacteristic
1085C24C22×D411yescharacteristic
1086C24C22×D411yescharacteristic
1087C24C22×D411yescharacteristic
1088#41—28no—
1089#41—28no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
1094#41—44no—
1095#41—44no—
1096#41—44no—
1097#41—44no—
1098#41—44no—
1099#41—44no—
1100#41—44no—
1101#41—44no—
1102#41—432no—
1103#41—432no—
1104#41—44no—
1105#41—44no—
1106#41—44no—
1107#41—82no—
1108#41—82no—
1109#41—82no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—28no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—42no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×Q8—42no—
1142C2×Q8—81no—
1143C2×Q8—82no—
1144C2×Q8—82no—
1145C2×Q8C22×D412yes—
1146C2×Q8C22×D412yes—
1147C2×Q8H(5,𝔽2)12yes—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—432no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—816no—
1253C2×D4—816no—
1254C2×D4C22×D412yes—
1255C2×D4C22×D412yes—
1256C2×D4C22×D412yes—
1257C2×D4C22×D412yes—
1258C2×D4H(5,𝔽2)12yes—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—432no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—81no—
1333C22×C4—81no—
1334C22×C4—81no—
1335C22×C4—81no—
1336C22×C4—81no—
1337C22×C4—81no—
1338C22×C4—81no—
1339C22×C4—81no—
1340C22×C4—81no—
1341C22×C4—81no—
1342C22×C4—81no—
1343C22×C4C22×D411yescharacteristic
1344C22×C4C22×D411yescharacteristic
1345C22×C4C22×D411yescharacteristic
1346C22×C4C22×D411yescharacteristic
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D412yes—
1354C22×C4C22×D412yes—
1355C22×C4H(5,𝔽2)12yes—
1356C22×C4H(5,𝔽2)12yes—
1357C22×C4C2511yescharacteristic
1358Q16—44no—
1359Q16—44no—
1360Q16—44no—
1361Q16—44no—
1362SD16—28no—
1363SD16—44no—
1364SD16—44no—
1365SD16—44no—
1366SD16—44no—
1367SD16—44no—
1368SD16—44no—
1369SD16—44no—
1370SD16—44no—
1371SD16—82no—
1372D8—28no—
1373D8—44no—
1374D8—44no—
1375D8—44no—
1376D8—44no—
1377D8—82no—
1378M16—44no—
1379M16—44no—
1380M16—44no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—21no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—44no—
1402C2×C8—44no—
1403C2×C8C22×D412yes—
1404C2×C8C22×D412yes—
1405C2×C8C22×D412yes—
1406C2×C8C22×D412yes—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—41no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—81no—
1433C4⋊C4—81no—
1434C4⋊C4C22×D412yes—
1435C4⋊C4C22×D412yes—
1436C22⋊C4—24no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—81no—
1478C22⋊C4—81no—
1479C22⋊C4—81no—
1480C22⋊C4—81no—
1481C22⋊C4—81no—
1482C22⋊C4—81no—
1483C22⋊C4—81no—
1484C22⋊C4—81no—
1485C22⋊C4—81no—
1486C22⋊C4—81no—
1487C22⋊C4—81no—
1488C22⋊C4—81no—
1489C22⋊C4—81no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—42no—
1497C42—81no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—48no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—48no—
1544C23—44no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—84no—
1567C23—84no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23—84no—
1576C23—84no—
1577C23—84no—
1578C23—84no—
1579C23—162no—
1580C23—162no—
1581C23—162no—
1582C23—162no—
1583C23—162no—
1584C23—162no—
1585C23D4212yes—
1586C23D4212yes—
1587C23#57512yes—
1588C23#57712yes—
1589C23C23×D411yescharacteristic
1590Q8—22no—
1591Q8—22no—
1592Q8—22no—
1593Q8—22no—
1594Q8—22no—
1595Q8—22no—
1596Q8—48no—
1597Q8—41no—
1598Q8—41no—
1599Q8—41no—
1600Q8—41no—
1601Q8—41no—
1602Q8—41no—
1603Q8—41no—
1604Q8—41no—
1605Q8—41no—
1606Q8—41no—
1607Q8—84no—
1608D4—22no—
1609D4—22no—
1610D4—22no—
1611D4—22no—
1612D4—22no—
1613D4—22no—
1614D4—22no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—44no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—41no—
1626D4—41no—
1627D4—41no—
1628D4—41no—
1629D4—41no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—41no—
1634D4—84no—
1635D4—82no—
1636D4—84no—
1637D4—82no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—162no—
1646D4—162no—
1647D4—162no—
1648D4—162no—
1649D4D4214yes—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—48no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—162no—
1741C2×C4—162no—
1742C2×C4—162no—
1743C2×C4D4212yes—
1744C2×C4D4212yes—
1745C2×C4C23×D411yescharacteristic
1746C2×C4C23×D411yescharacteristic
1747C2×C4C2×H(5,𝔽2)11yescharacteristic
1748C2×C4C2×H(5,𝔽2)11yescharacteristic
1749C2×C4C2×H(5,𝔽2)11yescharacteristic
1750C2×C4C2×H(5,𝔽2)11yescharacteristic
1751C8—22no—
1752C8—22no—
1753C8—22no—
1754C8—22no—
1755C8—41no—
1756C8—41no—
1757C8—41no—
1758C8—41no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—24no—
1767C22—22no—
1768C22—22no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—41no—
1785C22—42no—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—42no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—88no—
1800C22—816no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—81no—
1810C22—81no—
1811C22—81no—
1812C22—81no—
1813C22—81no—
1814C22—81no—
1815C22—81no—
1816C22—81no—
1817C22—81no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—168no—
1824C22—168no—
1825C22#327514yescomplemented
1826C22C2×D4211yescharacteristic
1827C22C2×D4211yescharacteristic
1828C22#348411yescharacteristic
1829C22C2×#57511yescharacteristic
1830C22C2×#57711yescharacteristic
1831C22#358411yescharacteristic
1832C22#358511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—41no—
1843C4—42no—
1844C4—41no—
1845C4—42no—
1846C4—41no—
1847C4—41no—
1848C4—81no—
1849C4—81no—
1850C4—81no—
1851C4—81no—
1852C4—81no—
1853C4—81no—
1854C4C2×D4211yescharacteristic
1855C4#348411yescharacteristic
1856C4#348411yescharacteristic
1857C4#353211yescharacteristic
1858C2—24no—
1859C2—42no—
1860C2—44no—
1861C2—81no—
1862C2—81no—
1863C2—82no—
1864C2—82no—
1865C2—161no—
1866C2—161no—
1867C2#5899011yescharacteristic
1868C2C2×#327511yescharacteristic
1869C2#6105511yescharacteristic
1870C2#6106611yescharacteristic
1871C2#6107411yescharacteristic
1872C2#6159711yescharacteristic
1873C2#6162311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3275C2semidirect
2. C2×#3264C2semidirect
3. C2×#3007C2semidirect
4. C22×#449C2semidirect
5. #58996C2semidirect
6. #36212C2semidirect
7. #31059C2semidirect
8. #30512C2semidirect
9. #30475C2semidirect
10. #30446C2semidirect
11. #25797C2semidirect
12. #25776C2semidirect
13. #25762C2semidirect
14. #25170C2semidirect
15. #25158C2semidirect
16. #25133C2semidirect
17. #25126C2semidirect
18. #25092C2semidirect
19. #25086C2semidirect
20. #24444C2semidirect
21. #24432C2semidirect
22. #24384C2semidirect
23. #24381C2semidirect
24. #24377C2semidirect
25. #24355C2semidirect
26. #23871C2semidirect
27. #23863C2semidirect
28. #23852C2semidirect
29. #22874C2semidirect
30. #22866C2semidirect
31. #22848C2semidirect
33. C22×#137C22semidirect
34. C22×#137C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C23×SD16C22semidirect
38. C2×#548C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×#121C22semidirect
47. C2×#496C22semidirect
48. C2×#495C22semidirect
49. C2×#495C22semidirect
50. C2×#470C22semidirect
51. C2×#469C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
56. C2×#464C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
60. C2×#459C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
67. C2×#452C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#449C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#451C22semidirect
79. C2×#451C22semidirect
80. C2×#448C22semidirect
83. C2×#450C22semidirect
85. C2×#447C22semidirect
86. C2×#442C22semidirect
87. C2×C4×SD16C22semidirect
88. C2×#436C22semidirect
90. C2×#417C22semidirect
91. C2×#417C22semidirect
92. C22×#103C22semidirect
94. C2×#407C22semidirect
95. C22×C22⋊C8C22semidirect
100. #2540C22semidirect
105. #2436C22semidirect
106. #2435C22semidirect
107. #2431C22semidirect
108. #2431C22semidirect
111. #2427C22semidirect
112. #2426C22semidirect
115. #2416C22semidirect
119. #2407C22semidirect
120. #2407C22semidirect
121. #2407C22semidirect
125. #2361C22semidirect
126. #2360C22semidirect
127. #2339C22semidirect
128. #2339C22semidirect
133. #2066C22semidirect
134. #2066C22semidirect
135. #2056C22semidirect
136. #2056C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2035C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2034C22semidirect
147. #2015C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2014C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2012C22semidirect
157. #2001C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1971C22semidirect
167. #1968C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1927C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1892C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1878C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
195. #1864C22semidirect
196. #1864C22semidirect
197. #1853C22semidirect
198. #1853C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1787C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
371. #450D4semidirect
380. #449D4semidirect
752. C2×SD16C2×D4semidirect
753. C2×SD16C2×D4semidirect
754. C2×SD16C2×D4semidirect
855. #121C2×D4semidirect
993. #103C2×D4semidirect
1010. #102C2×D4semidirect
1011. #102C2×D4semidirect
1022. C22⋊C8C2×D4semidirect
1825. C22#3275semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#32752
C2×#32642
C2×#30072
C22×#4492
#589962
#362122
#310592
#305122
#304752
#304462
#257972
#257762
#257622
#251702
#251582
#251332
#251262
#250922
#250862
#244442
#244322
#243842
#243812
#243772
#243552
#238712
#238632
#238522
#228742
#228662
#228482