Finite Group Databasebeta

← #7647754

Subgroups — #7647754

Order 512.

4422 conjugacy classes of subgroups.

The subgroup lattice has 1623 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41132C214yesmaximal, complemented
2#41123C214yesmaximal, complemented
3#40942C214yesmaximal, complemented
4#40923C214yesmaximal, complemented
5#39695C212yesmaximal, complemented
6#39544C212yesmaximal, complemented
7#39292C212yesmaximal, complemented
8#39045C212yesmaximal, complemented
9#38277C212yesmaximal, complemented
10#38205C212yesmaximal, complemented
11#37980C212yesmaximal, complemented
12#37936C212yesmaximal, complemented
13#37637C211yesmaximal, characteristic, complemented
14#37636C211yesmaximal, characteristic, complemented
15#37632C211yesmaximal, characteristic, complemented
16#37624C211yesmaximal, characteristic, complemented
17#37410C212yesmaximal, complemented
18#37335C212yesmaximal, complemented
19#37295C212yesmaximal, complemented
20#37294C212yesmaximal, complemented
21#35653C212yesmaximal, complemented
22#35598C212yesmaximal, complemented
23#35299C212yesmaximal, complemented
24#35282C212yesmaximal, complemented
25#35279C211yesmaximal, characteristic, complemented
26#35208C211yesmaximal, characteristic, complemented
27#35207C211yesmaximal, characteristic, complemented
28#35189C211yesmaximal, characteristic
29#35185C211yesmaximal, characteristic, complemented
30#35185C211yesmaximal, characteristic, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34216C211yesmaximal, characteristic, complemented
34#34125C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C22×C4⋊Q8C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2864C2212yes—
41#2863C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2857C2212yes—
46#2857C2212yes—
47#2854C2212yes—
48#2851C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2841C2214yes—
52#2832C2214yes—
53#2831C2214yes—
54#2821C2214yes—
55#2807C2214yes—
56#2805C2214yes—
57#2798C2214yes—
58#2776C2214yes—
59#2776C2214yes—
60#2775C2214yes—
61#2773C2214yes—
62#2773C2214yes—
63#2770C2214yes—
64#2769C2214yes—
65#2763C2214yes—
66#2762C2214yes—
67#2755C2214yes—
68#2754C2214yes—
69#2747C2214yes—
70#2745C2214yes—
71#2744C2214yes—
72#2741C2214yes—
73#2740C2214yes—
74#2737C2214yes—
75#2727C2214yes—
76#2722C2214yes—
77#2717C2214yes—
78#2706C2214yes—
79#2705C2214yes—
80#2700C2214yes—
81#2698C2214yes—
82#2695C2214yes—
83#2694C2214yes—
84#2694C2214yes—
85#2689C2214yes—
86#2687C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2660C2212yes—
90#2660C2212yes—
91#2653C2214yes—
92#2650C2214yes—
93#2650C2214yes—
94#2647C2212yes—
95#2647C2212yes—
96#2644C2212yes—
97#2640C2212yes—
98#2637C2214yes—
99#2632C2214yes—
100#2630C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2628C2212yes—
104#2628C2212yes—
105#2628C2212yes—
106#2628C2212yes—
107#2628C2212yes—
108#2628C2214yes—
109#2625C2212yes—
110#2624C2212yes—
111#2624C2212yes—
112#2614C2214yes—
113#2601C2214yes—
114#2596C2214yes—
115#2596C2214yes—
116#2596C2214yes—
117#2596C2214yes—
118#2589C2214yes—
119#2589C2214yes—
120#2586C2214yes—
121#2586C2214yes—
122#2585C2214yes—
123#2582C2211yescharacteristic
124#2578C2214yes—
125#2575C2214yes—
126#2574C2214yes—
127#2574C2214yes—
128#2573C2214yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2568C2212yes—
132#2567C2211yescharacteristic
133#2567C2211yescharacteristic
134#2567C2211yescharacteristic
135#2567C2211yescharacteristic
136#2563C2211yescharacteristic
137#2563C2211yescharacteristic
138#2563C2211yescharacteristic
139#2563C2211yescharacteristic
140#2560C2214yes—
141#2557C2214yes—
142#2556C2214yes—
143#2554C2214yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2551C2211yescharacteristic
147#2550C2212yes—
148#2542C2212yes—
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2537C2211yescharacteristic
152#2533C2214yes—
153#2532C2214yes—
154#2531C2214yes—
155#2526C2214yes—
156#2522C2214yes—
157#2520C2214yes—
158#2516C2214yes—
159#2513C2212yes—
160#2513C2212yes—
161#2512C2212yes—
162#2511C2212yes—
163#2509C2212yes—
164#2509C2214yes—
165#2509C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2212yes—
171#2506C2212yes—
172#2503C2212yes—
173#2501C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2495C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2490C2212yes—
185#2489C2212yes—
186#2487C2212yes—
187#2487C2212yes—
188#2486C2212yes—
189#2486C2212yes—
190#2485C2212yes—
191#2479C2214yes—
192#2478C2214yes—
193#2477C2214yes—
194#2470C2214yes—
195#2469C2214yes—
196#2469C2214yes—
197#2465C2214yes—
198#2462C2214yes—
199#2462C2214yes—
200#2458C2214yes—
201#2458C2214yes—
202#2454C2212yes—
203#2453C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2448C2214yes—
207#2441C2212yes—
208#2439C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2415C2212yes—
214#2414C2212yes—
215#2409C2214yes—
216#2407C2212yes—
217#2399C2214yes—
218#2396C2214yes—
219#2369C2212yes—
220#2369C2212yes—
221#2365C2212yes—
222#2365C2212yes—
223#2357C2211yescharacteristic
224#2357C2211yescharacteristic
225#2357C2212yes—
226#2357C2212yes—
227#2351C2211yescharacteristic
228#2351C2211yescharacteristic
229#2347C2211yescharacteristic
230#2347C2211yescharacteristic
231#2347C2212yes—
232#2347C2212yes—
233#2345C2212yes—
234#2345C2212yes—
235#2341C2211yescharacteristic
236#2341C2211yescharacteristic
237Q8×C22⋊C4C2212yes—
238Q8×C22⋊C4C2212yes—
239#2335C2212yes—
240#2335C2212yes—
241#2334C2212yes—
242#2334C2212yes—
243#2331C2212yes—
244#2331C2212yes—
245#2330C2211yescharacteristic
246#2330C2211yescharacteristic
247#2330C2212yes—
248#2326C2211yescharacteristic
249#2326C2211yescharacteristic
250#2324C2211yescharacteristic
251#2324C2212yes—
252#2324C2211yescharacteristic
253#2324C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2323C2211yescharacteristic
257#2323C2211yescharacteristic
258#2323C2212yes—
259#2320C2212yes—
260#2317C2212yes—
261#2316C2212yes—
262#2314C2212yes—
263#2314C2212yes—
264#2314C2212yes—
265#2311C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×#125C2212yes—
273C4×C22⋊Q8C2212yes—
274#2298C2212yes—
275#2296C2212yes—
276#2295C2211yescharacteristic
277#2295C2212yes—
278#2295C2212yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C2×C4⋊Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C4×#41—28no—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2312yes—
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2312yes—
691#383C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8—28no—
817C22×Q8—82no—
818C22×Q8—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847#126—28no—
848#126—84no—
849#126—84no—
850#126—84no—
851#125—24no—
852#125—44no—
853#125—44no—
854#125—84no—
855#124—24no—
856#124—84no—
857#123—28no—
858#123—84no—
859#123—84no—
860#123—84no—
861C22⋊Q8—28no—
862C22⋊Q8—24no—
863C22⋊Q8—44no—
864C22⋊Q8—84no—
865C22⋊Q8—84no—
866#121—24no—
867#121—44no—
868#121—44no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—42no—
878C4×Q8—82no—
879C4×Q8—82no—
880C4×Q8—84no—
881C4×Q8—82no—
882C4×Q8—82no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—42no—
891#117—24no—
892#117—28no—
893#117—28no—
894#117—24no—
895#117—28no—
896#117—44no—
897#117—42no—
898#117—44no—
899#117—44no—
900#117—44no—
901#117—84no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C42—28no—
1026C2×C42—44no—
1027C2×C42#4118yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2512yes—
1150C24C2512yes—
1151C24C2511yescharacteristic
1152#41—416no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—28no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—816no—
1171C2×Q82−1+414yes—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—28no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4C2×#4114yes—
1215C22×C4C2×#4114yes—
1216C22×C4C2×#4114yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—41no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—41no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—24no—
1379C42—22no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—24no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—42no—
1392C42—44no—
1393C42—42no—
1394C42—42no—
1395C42—42no—
1396C42—41no—
1397C42—42no—
1398C42—44no—
1399C42—42no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42—42no—
1407C42—42no—
1408C42C2×#4114yes—
1409C42C2×#4114yes—
1410C42C2×#4114yes—
1411C42C2×#4114yes—
1412C422−1+414yes—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23C22×#4112yes—
1434C23C2611yescharacteristic
1435Q8—28no—
1436Q8—48no—
1437Q8—48no—
1438Q8—44no—
1439Q8—88no—
1440Q8—88no—
1441D4—48no—
1442D4—44no—
1443D4—44no—
1444D4—84no—
1445D4—164no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—28no—
1461C2×C4—28no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—44no—
1532C2×C4—48no—
1533C2×C4—48no—
1534C2×C4—48no—
1535C2×C4—48no—
1536C2×C4—84no—
1537C2×C4—88no—
1538C2×C4—84no—
1539C2×C4C22×#4112yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C2×2−1+412yes—
1546C2×C4C2×2−1+414yes—
1547C2×C4C2×2−1+412yes—
1548C2×C4C2×2−1+412yes—
1549C2×C4C2×2−1+412yes—
1550C2×C4#58512yes—
1551C2×C4#58512yes—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22C23×#4111yescharacteristic
1574C22C22×2−1+411yescharacteristic
1575C22C22×2−1+411yescharacteristic
1576C22C2×#58511yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22H(7,𝔽2)11yescharacteristic
1579C22H(7,𝔽2)11yescharacteristic
1580C4—22no—
1581C4—24no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—42no—
1588C4—42no—
1589C4—44no—
1590C4—44no—
1591C4—42no—
1592C4—41no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4—41no—
1601C4—44no—
1602C4—42no—
1603C4—42no—
1604C4—41no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—42no—
1609C4—44no—
1610C4#346114yes—
1611C4#349514yes—
1612C2—42no—
1613C2—82no—
1614C2—82no—
1615C2C2×#346111yescharacteristic
1616C2C2×#349511yescharacteristic
1617C2#6285511yescharacteristic
1618C2#6292611yescharacteristic
1619C2#6293811yescharacteristic
1620C2#6294311yescharacteristic
1621C2#6295211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35189C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41132C2semidirect
2. #41123C2semidirect
3. #40942C2semidirect
4. #40923C2semidirect
5. #39695C2semidirect
6. #39544C2semidirect
7. #39292C2semidirect
8. #39045C2semidirect
9. #38277C2semidirect
10. #38205C2semidirect
11. #37980C2semidirect
12. #37936C2semidirect
13. #37637C2semidirect
14. #37636C2semidirect
15. #37632C2semidirect
16. #37624C2semidirect
17. #37410C2semidirect
18. #37335C2semidirect
19. #37295C2semidirect
20. #37294C2semidirect
21. #35653C2semidirect
22. #35598C2semidirect
23. #35299C2semidirect
24. #35282C2semidirect
25. #35279C2semidirect
26. #35208C2semidirect
27. #35207C2semidirect
29. #35185C2semidirect
30. #35185C2semidirect
31. #34950C2semidirect
32. #34941C2semidirect
33. #34216C2semidirect
34. #34125C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#411322
#411232
#409422
#409232
#396952
#395442
#392922
#390452
#382772
#382052
#379802
#379362
#376372
#376362
#376322
#376242
#374102
#373352
#372952
#372942
#356532
#355982
#352992
#352822
#352792
#352082
#352072
#351892
#351852
#349502
#349412
#342162
#341252
#340842