Finite Group Databasebeta

← #7689407

Subgroups — #7689407

Order 512.

7403 conjugacy classes of subgroups.

The subgroup lattice has 1901 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59827C211yesmaximal, characteristic, complemented
4#59806C212yesmaximal, complemented
5#59119C212yesmaximal, complemented
6#59070C211yesmaximal, characteristic, complemented
7#59064C211yesmaximal, characteristic, complemented
8#59062C212yesmaximal, complemented
9#59061C212yesmaximal, complemented
10#59010C214yesmaximal, complemented
11#45096C212yesmaximal, complemented
12#44906C212yesmaximal, complemented
13#43510C214yesmaximal, complemented
14#43018C214yesmaximal, complemented
15#39490C211yesmaximal, characteristic, complemented
16#39486C212yesmaximal, complemented
17#38921C211yesmaximal, characteristic, complemented
18#38918C212yesmaximal, complemented
19#37796C212yesmaximal, complemented
20#37788C214yesmaximal, complemented
21#36405C211yesmaximal, characteristic, complemented
22#36276C211yesmaximal, characteristic, complemented
23#36275C211yesmaximal, characteristic, complemented
24#36274C211yesmaximal, characteristic, complemented
25#36237C212yesmaximal, complemented
26#36155C212yesmaximal, complemented
27#36149C211yesmaximal, characteristic, complemented
28#36116C212yesmaximal, complemented
29#36009C212yesmaximal, complemented
30#35791C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32C2×#2447C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34#34248C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#555C2212yes—
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#551C2214yes—
47C2×#551C2214yes—
48C2×D4×Q8C2211yescharacteristic
49C2×#548C2212yes—
50C2×#547C2211yescharacteristic
51C2×#546C2212yes—
52C2×#546C2212yes—
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×D42C2211yescharacteristic
56C2×#542C2212yes—
57C2×#538C2214yes—
58C2×#532C2211yescharacteristic
59C2×#532C2211yescharacteristic
60C2×#529C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2212yes—
64C22×#124C2212yes—
65C2×#525C2214yes—
66C2×#518C2212yes—
67C2×#518C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C22×C4×D4C2212yes—
72C22×C4×D4C2212yes—
73#2862C2211yescharacteristic, complemented
74#2857C2211yescharacteristic, complemented
75#2857C2212yescomplemented
76#2857C2211yescharacteristic, complemented
77#2855C2212yescomplemented
78#2855C2212yescomplemented
79#2855C2212yescomplemented
80#2849C2214yescomplemented
81#2724C2214yescomplemented
82#2724C2214yescomplemented
83#2722C2214yescomplemented
84#2718C2214yescomplemented
85#2717C2214yescomplemented
86#2717C2214yescomplemented
87#2717C2214yescomplemented
88#2715C2214yescomplemented
89#2710C2214yescomplemented
90#2708C2214yescomplemented
91#2701C2214yescomplemented
92#2701C2214yescomplemented
93#2698C2214yescomplemented
94#2698C2214yescomplemented
95#2689C2214yescomplemented
96#2689C2214yescomplemented
97#2689C2214yescomplemented
98#2686C2214yescomplemented
99#2686C2214yescomplemented
100#2682C2214yescomplemented
101#2680C2214yescomplemented
102#2625C2212yescomplemented
103#2622C2214yescomplemented
104#2621C2212yescomplemented
105#2617C2214yescomplemented
106#2582C2211yescharacteristic, complemented
107#2582C2211yescharacteristic, complemented
108#2568C2211yescharacteristic, complemented
109#2567C2211yescharacteristic, complemented
110#2567C2211yescharacteristic, complemented
111#2552C2212yescomplemented
112#2550C2212yescomplemented
113#2550C2212yescomplemented
114#2549C2214yescomplemented
115#2549C2214yescomplemented
116#2547C2212yescomplemented
117#2547C2212yescomplemented
118#2547C2212yescomplemented
119#2546C2211yescharacteristic, complemented
120#2543C2214yescomplemented
121#2535C2212yescomplemented
122#2521C2214yescomplemented
123#2503C2212yescomplemented
124#2502C2212yescomplemented
125#2499C2212yescomplemented
126#2496C2214yescomplemented
127#2489C2212yescomplemented
128#2488C2214yescomplemented
129#2487C2212yescomplemented
130#2486C2212yescomplemented
131#2486C2214yescomplemented
132#2486C2214yescomplemented
133#2485C2212yescomplemented
134#2483C2214yescomplemented
135#2483C2214yescomplemented
136#2478C2214yescomplemented
137#2478C2214yescomplemented
138#2478C2214yescomplemented
139#2478C2212yescomplemented
140#2478C2214yescomplemented
141#2474C2214yescomplemented
142#2470C2212yescomplemented
143#2468C2214yescomplemented
144#2466C2212yescomplemented
145#2455C2212yescomplemented
146#2453C2211yescharacteristic, complemented
147#2453C2212yescomplemented
148#2453C2212yescomplemented
149#2453C2212yescomplemented
150#2451C2212yescomplemented
151#2450C2214yescomplemented
152#2449C2214yescomplemented
153#2447C2212yes—
154#2447C2212yes—
155#2447C2212yes—
156#2447C2212yes—
157#2447C2211yescharacteristic
158#2447C2214yescomplemented
159#2447C2212yescomplemented
160#2447C2212yescomplemented
161#2447C2212yescomplemented
162#2447C2212yescomplemented
163#2447C2212yescomplemented
164#2447C2214yescomplemented
165#2447C2214yescomplemented
166#2447C2214yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2447C2212yescomplemented
172#2444C2214yescomplemented
173#2444C2214yescomplemented
174#2444C2214yescomplemented
175#2443C2214yescomplemented
176#2443C2214yescomplemented
177#2443C2214yescomplemented
178#2441C2212yescomplemented
179#2441C2211yescharacteristic, complemented
180#2439C2212yescomplemented
181#2438C2214yescomplemented
182#2438C2214yescomplemented
183#2438C2214yescomplemented
184#2434C2212yescomplemented
185#2432C2211yescharacteristic
186#2432C2212yes—
187#2432C2212yescomplemented
188#2429C2211yescharacteristic, complemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2425C2214yescomplemented
195#2425C2214yescomplemented
196#2422C2212yes—
197#2422C2211yescharacteristic
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2419C2214yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2419C2214yescomplemented
207#2419C2214yescomplemented
208#2419C2214yescomplemented
209#2419C2214yescomplemented
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2415C2211yescharacteristic, complemented
215#2413C2214yescomplemented
216#2412C2214yescomplemented
217#2412C2214yescomplemented
218#2412C2214yescomplemented
219#2412C2214yescomplemented
220#2409C2212yescomplemented
221#2407C2211yescharacteristic
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2406C2214yescomplemented
225#2395C2212yescomplemented
226#2392C2212yescomplemented
227C2×#397C2214yescomplemented
228C2×#397C2214yescomplemented
229#2366C2211yescharacteristic
230#2365C2212yescomplemented
231#2365C2211yescharacteristic, complemented
232#2363C2212yes—
233#2362C2211yescharacteristic, complemented
234#2362C2212yescomplemented
235#2362C2211yescharacteristic, complemented
236#2361C2212yes—
237#2361C2212yescomplemented
238#2359C2212yescomplemented
239#2359C2212yescomplemented
240#2358C2214yes—
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic, complemented
243#2349C2212yes—
244#2349C2212yes—
245#2349C2212yes—
246#2349C2212yescomplemented
247#2349C2212yescomplemented
248#2349C2214yescomplemented
249#2349C2214yescomplemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2214yescomplemented
254D4×C4⋊C4C2212yescomplemented
255D4×C4⋊C4C2214yescomplemented
256D4×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2212yescomplemented
259#2344C2214yescomplemented
260#2344C2212yescomplemented
261#2339C2211yescharacteristic
262#2339C2212yes—
263#2339C2211yescharacteristic
264#2339C2212yes—
265#2339C2212yescomplemented
266#2339C2212yescomplemented
267#2339C2212yescomplemented
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270#2324C2212yes—
271#2321C2214yes—
272#2317C2212yescomplemented
273#2317C2212yescomplemented
274#2315C2214yescomplemented
275#2315C2214yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#123C2212yescomplemented
286C4×#121C2212yes—
287C4×#121C2212yescomplemented
288#2296C2212yescomplemented
289#2296C2212yescomplemented
290C2×#391C2212yescomplemented
291C2×#391C2212yescomplemented
292#2293C2211yescharacteristic
293C2×#390C2212yes—
294C2×#389C2212yescomplemented
295C2×#385C2214yescomplemented
296C2×#385C2214yescomplemented
297C2×#381C2214yescomplemented
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C24×C4C2314yes—
310#559—28no—
311#559—28no—
312#556—28no—
313#555—216no—
314#554—28no—
315#554—28no—
316#553—216no—
317#553—216no—
318#551—232no—
319#551—232no—
320D4×Q8—28no—
321#548—216no—
322#547—28no—
323#546—216no—
324#546—216no—
325#546—216no—
326#546—216no—
327D42D4116yescomplemented
328#542—216no—
329#538—232no—
330#532—28no—
331#532—28no—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2311yescharacteristic
339#529—216no—
340#529—216no—
341#529—216no—
342#529—28no—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#125C2311yescharacteristic
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#124—216no—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2312yes—
363#525—232no—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2311yescharacteristic
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407#518—216no—
408#518—216no—
409C4×#41—28no—
410C4×#41—28no—
411C4×#41—28no—
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×D4—216no—
421C2×C4×D4—216no—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2314yes—
471C2×#117C2314yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2314yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2314yes—
484C22×C22⋊C4C2314yes—
485C22×C22⋊C4C2314yes—
486C22×C22⋊C4C2314yes—
487C22×C22⋊C4C2314yes—
488C22×C22⋊C4C2314yes—
489C22×C22⋊C4C2314yes—
490C22×C22⋊C4C2314yes—
491C22×C22⋊C4C2314yes—
492C22×C42C2312yes—
493C22×C42C2312yes—
494C22×C42C2312yes—
495C22×C42C2311yescharacteristic
496C22×C42C2311yescharacteristic
497C22×C42C2312yes—
498#400C2314yes—
499#400C2314yes—
500#400C2312yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#399C2312yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2312yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2312yes—
528#397C2312yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2312yes—
542#397C2312yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#396C2312yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#393C2314yes—
574#392C2312yes—
575#392C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2314yes—
649#389C2314yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2312yes—
754#384C2312yes—
755#384C2314yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2312yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#381C2312yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2314yes—
799#379C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C2×#95C2312yes—
838C2×#95C2312yes—
839C2×#95C2314yes—
840C2×#95C2314yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C43C2311yescharacteristic
847C25C2414yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—44no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—82no—
863C22×Q8—28no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4C2×D4116yes—
878C22×D4C2×D4116yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2411yescharacteristic
893C23×C4—216no—
894C23×C4—48no—
895C23×C4—84no—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—44no—
927C4⋊Q8—42no—
928#127C2×D418yes—
929#126—216no—
930#126—28no—
931#126—216no—
932#126—216no—
933#126—216no—
934#125—24no—
935#125—28no—
936#125—28no—
937#124—24no—
938#124—28no—
939#124—216no—
940#124—28no—
941#124—28no—
942#124—216no—
943#124—28no—
944#124—28no—
945#124—28no—
946#124—28no—
947#124—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—216no—
954#123—216no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—44no—
959#123—84no—
960#123—84no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—42no—
973C22⋊Q8—44no—
974C22⋊Q8—42no—
975C22⋊Q8—82no—
976#121—216no—
977#121—216no—
978#121—24no—
979#121—28no—
980#121—28no—
981#121—28no—
982#121—28no—
983#121—216no—
984#121—216no—
985#121—28no—
986#121C2×D4116yes—
987#121C2×D4116yes—
988#120—216no—
989#120—216no—
990#120C2×D4132yes—
991C4×Q8—24no—
992C4×Q8—24no—
993C4×Q8—24no—
994C4×Q8—28no—
995C4×Q8—24no—
996C4×Q8—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—216no—
1002C4×D4—216no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—216no—
1008C4×D4—216no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—24no—
1012C4×D4—216no—
1013C4×D4—28no—
1014C4×D4—28no—
1015C4×D4—216no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—216no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—82no—
1038C4×D4C2×D418yes—
1039C4×D4C2×D418yes—
1040C4×D4#4118yescomplemented
1041#117—28no—
1042#117—28no—
1043#117—24no—
1044#117—24no—
1045#117—24no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—216no—
1051#117—216no—
1052#117—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—44no—
1057C2×C4⋊C4—48no—
1058C2×C4⋊C4—44no—
1059C2×C4⋊C4—84no—
1060C2×C4⋊C4—84no—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C22⋊C4—216no—
1127C2×C22⋊C4—216no—
1128C2×C22⋊C4—216no—
1129C2×C22⋊C4—216no—
1130C2×C22⋊C4—216no—
1131C2×C22⋊C4—216no—
1132C2×C22⋊C4—216no—
1133C2×C22⋊C4—84no—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C42—28no—
1194C2×C42—28no—
1195C2×C42—28no—
1196C2×C42—24no—
1197C2×C42—24no—
1198C2×C42—44no—
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2414yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24—28no—
1291C24—28no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24—44no—
1296C24C22×D4116yes—
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299C24C2512yes—
1300C24C2514yes—
1301C24C2512yes—
1302#41—416no—
1303#41—416no—
1304#41—416no—
1305#41—816no—
1306#41—816no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—28no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—24no—
1324C2×Q8—42no—
1325C2×Q8—44no—
1326C2×Q8—44no—
1327C2×Q8—42no—
1328C2×Q8—816no—
1329C2×D4—28no—
1330C2×D4—28no—
1331C2×D4—264no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—432no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4C22×D4116yes—
1365C2×D4C22×D418yes—
1366C2×D4C22×D414yes—
1367C2×D4C22×D418yes—
1368C2×D4C22×D4116yes—
1369C2×D4C22×D418yes—
1370C2×D4C22×D414yes—
1371C2×D4C2×#4114yes—
1372C2×D42−1+414yes—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—28no—
1392C22×C4—28no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—22no—
1414C22×C4—28no—
1415C22×C4—28no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—41no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—832no—
1449C22×C4C22×D418yes—
1450C22×C4C22×D418yes—
1451C22×C4C2×#4118yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2514yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2514yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—28no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—41no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4C22×D414yes—
1545C4⋊C4C22×D414yes—
1546C4⋊C4C2×#4114yes—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—28no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—22no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—41no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4C22×D418yes—
1603C22⋊C4C22×D4116yes—
1604C22⋊C4C22×D418yes—
1605C22⋊C4C2×#4118yes—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—24no—
1610C42—22no—
1611C42—24no—
1612C42—24no—
1613C42—22no—
1614C42—24no—
1615C42—24no—
1616C42—22no—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—24no—
1621C42—28no—
1622C42—24no—
1623C42—28no—
1624C42—24no—
1625C42—22no—
1626C42—22no—
1627C42—24no—
1628C42—22no—
1629C42—42no—
1630C42—42no—
1631C42—41no—
1632C42—41no—
1633C42C22×D414yes—
1634C42C2×#4114yes—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—24no—
1641C23—22no—
1642C23—24no—
1643C23—22no—
1644C23—24no—
1645C23—24no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—24no—
1651C23—232no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—416no—
1667C23—416no—
1668C23—88no—
1669C23—88no—
1670C23—88no—
1671C23—88no—
1672C23C23×D414yes—
1673C23C23×D418yes—
1674C23C23×D414yes—
1675C23C22×#4114yes—
1676C23C2×2−1+414yes—
1677C23C2611yescharacteristic
1678Q8—44no—
1679Q8—44no—
1680Q8—44no—
1681Q8—48no—
1682Q8—44no—
1683Q8—88no—
1684Q8—84no—
1685D4—232no—
1686D4—216no—
1687D4—28no—
1688D4—216no—
1689D4—416no—
1690D4—48no—
1691D4—44no—
1692D4—48no—
1693D4—48no—
1694D4—48no—
1695D4—84no—
1696D4—88no—
1697D4—88no—
1698D4#547116yes—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—216no—
1714C2×C4—216no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—416no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—82no—
1791C2×C4—88no—
1792C2×C4—88no—
1793C2×C4—84no—
1794C2×C4—88no—
1795C2×C4—88no—
1796C2×C4—84no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—88no—
1801C2×C4—88no—
1802C2×C4C23×D414yes—
1803C2×C4C23×D414yes—
1804C2×C4C23×D412yes—
1805C2×C4C23×D412yes—
1806C2×C4C23×D412yes—
1807C2×C4C22×#4114yes—
1808C2×C4C22×#4112yes—
1809C2×C4C22×#4112yes—
1810C2×C4C22×#4112yes—
1811C2×C4C2×2−1+412yes—
1812C2×C4#58512yes—
1813C2×C4#58512yes—
1814C2×C4#58512yes—
1815C22—24no—
1816C22—24no—
1817C22—24no—
1818C22—24no—
1819C22—24no—
1820C22—24no—
1821C22—28no—
1822C22—24no—
1823C22—24no—
1824C22—28no—
1825C22—24no—
1826C22—28no—
1827C22—44no—
1828C22—42no—
1829C22—44no—
1830C22—42no—
1831C22—44no—
1832C22—42no—
1833C22—44no—
1834C22—42no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—832no—
1850C22C2×#54718yes—
1851C22C24×D411yescharacteristic
1852C22C23×#4111yescharacteristic
1853C22C22×2−1+411yescharacteristic
1854C22C2×#58511yescharacteristic
1855C22C2×#58511yescharacteristic
1856C22C2×#58511yescharacteristic
1857C22H(7,𝔽2)11yescharacteristic
1858C4—22no—
1859C4—22no—
1860C4—22no—
1861C4—24no—
1862C4—22no—
1863C4—24no—
1864C4—24no—
1865C4—42no—
1866C4—42no—
1867C4—44no—
1868C4—41no—
1869C4—42no—
1870C4—42no—
1871C4—44no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—42no—
1877C4—44no—
1878C4—42no—
1879C4—42no—
1880C4—42no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—42no—
1885C4—42no—
1886C4C2×#54714yes—
1887C4#348514yes—
1888C2—28no—
1889C2—48no—
1890C2—44no—
1891C2—81no—
1892C2—81no—
1893C2C22×#54711yescharacteristic
1894C2C2×#348511yescharacteristic
1895C2#6278111yescharacteristic
1896C2#6295111yescharacteristic
1897C2#6298711yescharacteristic
1898C2#6301011yescharacteristic
1899C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3514C2semidirect
2. C2×#3481C2semidirect
3. #59827C2semidirect
4. #59806C2semidirect
5. #59119C2semidirect
6. #59070C2semidirect
7. #59064C2semidirect
8. #59062C2semidirect
9. #59061C2semidirect
10. #59010C2semidirect
11. #45096C2semidirect
12. #44906C2semidirect
13. #43510C2semidirect
14. #43018C2semidirect
15. #39490C2semidirect
16. #39486C2semidirect
17. #38921C2semidirect
18. #38918C2semidirect
19. #37796C2semidirect
20. #37788C2semidirect
21. #36405C2semidirect
22. #36276C2semidirect
23. #36275C2semidirect
24. #36274C2semidirect
25. #36237C2semidirect
26. #36155C2semidirect
27. #36149C2semidirect
28. #36116C2semidirect
29. #36009C2semidirect
30. #35791C2semidirect
31. #34724C2semidirect
32. C2×#2447C2semidirect
33. #34310C2semidirect
34. #34248C2semidirect
35. C4×#547C2semidirect
73. #2862C22semidirect
74. #2857C22semidirect
75. #2857C22semidirect
76. #2857C22semidirect
77. #2855C22semidirect
78. #2855C22semidirect
79. #2855C22semidirect
80. #2849C22semidirect
81. #2724C22semidirect
82. #2724C22semidirect
83. #2722C22semidirect
84. #2718C22semidirect
85. #2717C22semidirect
86. #2717C22semidirect
87. #2717C22semidirect
88. #2715C22semidirect
89. #2710C22semidirect
90. #2708C22semidirect
91. #2701C22semidirect
92. #2701C22semidirect
93. #2698C22semidirect
94. #2698C22semidirect
95. #2689C22semidirect
96. #2689C22semidirect
97. #2689C22semidirect
98. #2686C22semidirect
99. #2686C22semidirect
100. #2682C22semidirect
101. #2680C22semidirect
102. #2625C22semidirect
103. #2622C22semidirect
104. #2621C22semidirect
105. #2617C22semidirect
106. #2582C22semidirect
107. #2582C22semidirect
108. #2568C22semidirect
109. #2567C22semidirect
110. #2567C22semidirect
111. #2552C22semidirect
112. #2550C22semidirect
113. #2550C22semidirect
114. #2549C22semidirect
115. #2549C22semidirect
116. #2547C22semidirect
117. #2547C22semidirect
118. #2547C22semidirect
119. #2546C22semidirect
120. #2543C22semidirect
121. #2535C22semidirect
122. #2521C22semidirect
123. #2503C22semidirect
124. #2502C22semidirect
125. #2499C22semidirect
126. #2496C22semidirect
127. #2489C22semidirect
128. #2488C22semidirect
129. #2487C22semidirect
130. #2486C22semidirect
131. #2486C22semidirect
132. #2486C22semidirect
133. #2485C22semidirect
134. #2483C22semidirect
135. #2483C22semidirect
136. #2478C22semidirect
137. #2478C22semidirect
138. #2478C22semidirect
139. #2478C22semidirect
140. #2478C22semidirect
141. #2474C22semidirect
142. #2470C22semidirect
143. #2468C22semidirect
144. #2466C22semidirect
145. #2455C22semidirect
146. #2453C22semidirect
147. #2453C22semidirect
148. #2453C22semidirect
149. #2453C22semidirect
150. #2451C22semidirect
151. #2450C22semidirect
152. #2449C22semidirect
158. #2447C22semidirect
159. #2447C22semidirect
160. #2447C22semidirect
161. #2447C22semidirect
162. #2447C22semidirect
163. #2447C22semidirect
164. #2447C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
171. #2447C22semidirect
172. #2444C22semidirect
173. #2444C22semidirect
174. #2444C22semidirect
175. #2443C22semidirect
176. #2443C22semidirect
177. #2443C22semidirect
178. #2441C22semidirect
179. #2441C22semidirect
180. #2439C22semidirect
181. #2438C22semidirect
182. #2438C22semidirect
183. #2438C22semidirect
184. #2434C22semidirect
187. #2432C22semidirect
188. #2429C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
194. #2425C22semidirect
195. #2425C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2419C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
206. #2419C22semidirect
207. #2419C22semidirect
208. #2419C22semidirect
209. #2419C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
215. #2413C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2409C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2406C22semidirect
225. #2395C22semidirect
226. #2392C22semidirect
227. C2×#397C22semidirect
228. C2×#397C22semidirect
230. #2365C22semidirect
231. #2365C22semidirect
233. #2362C22semidirect
234. #2362C22semidirect
235. #2362C22semidirect
237. #2361C22semidirect
238. #2359C22semidirect
239. #2359C22semidirect
242. #2354C22semidirect
246. #2349C22semidirect
247. #2349C22semidirect
248. #2349C22semidirect
249. #2349C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2344C22semidirect
260. #2344C22semidirect
265. #2339C22semidirect
266. #2339C22semidirect
267. #2339C22semidirect
272. #2317C22semidirect
273. #2317C22semidirect
274. #2315C22semidirect
275. #2315C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
287. C4×#121C22semidirect
288. #2296C22semidirect
289. #2296C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
294. C2×#389C22semidirect
295. C2×#385C22semidirect
296. C2×#385C22semidirect
297. C2×#381C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
327. D42D4semidirect
1040. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34812
#598272
#598062
#591192
#590702
#590642
#590622
#590612
#590102
#450962
#449062
#435102
#430182
#394902
#394862
#389212
#389182
#377962
#377882
#364052
#362762
#362752
#362742
#362372
#361552
#361492
#361162
#360092
#357912
#347242
C2×#24472
#343102
#342482
C4×#5472