Finite Group Databasebeta

← #8467081

Subgroups — #8467081

Order 512.

4365 conjugacy classes of subgroups.

The subgroup lattice has 1603 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59672C211yesmaximal, characteristic, complemented
2#59459C211yesmaximal, characteristic, complemented
3#59458C211yesmaximal, characteristic, complemented
4#58211C214yesmaximal, complemented
5#55382C214yesmaximal, complemented
6#54290C214yesmaximal, complemented
7#53130C212yesmaximal, complemented
8#52997C212yesmaximal, complemented
9#49702C214yesmaximal, complemented
10#46345C212yesmaximal, complemented
11#45619C212yesmaximal, complemented
12#45376C212yesmaximal, complemented
13#45195C212yesmaximal, complemented
14#42871C212yesmaximal, complemented
15#42755C212yesmaximal, complemented
16#42632C212yesmaximal, complemented
17#42569C212yesmaximal, complemented
18#39643C211yesmaximal, characteristic, complemented
19#39498C212yesmaximal, complemented
20#39203C211yesmaximal, characteristic, complemented
21#39201C211yesmaximal, characteristic
22#38987C211yesmaximal, characteristic, complemented
23#38921C212yesmaximal, complemented
24#38238C212yesmaximal, complemented
25#37799C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic
27#37337C212yesmaximal, complemented
28#37326C212yesmaximal, complemented
29#36609C211yesmaximal, characteristic, complemented
30#36300C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic
32#35209C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34951C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#541C2212yes—
38C2×#529C2212yes—
39#2862C2211yescharacteristic
40#2860C2212yes—
41#2860C2212yes—
42#2859C2212yes—
43#2858C2211yescharacteristic
44#2858C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2850C2212yes—
48#2837C2214yes—
49#2837C2214yes—
50#2836C2214yes—
51#2832C2214yes—
52#2831C2214yes—
53#2829C2214yes—
54#2827C2214yes—
55#2814C2214yes—
56#2809C2214yes—
57#2808C2214yes—
58#2807C2214yes—
59#2807C2214yes—
60#2800C2214yes—
61#2799C2214yes—
62#2798C2214yes—
63#2798C2214yes—
64#2798C2214yes—
65#2792C2214yes—
66#2788C2214yes—
67#2788C2214yes—
68#2786C2214yes—
69#2786C2214yes—
70#2783C2214yes—
71#2755C2214yes—
72#2754C2214yes—
73#2754C2214yes—
74#2754C2214yes—
75#2750C2214yes—
76#2747C2214yes—
77#2744C2214yes—
78#2743C2214yes—
79#2741C2214yes—
80#2740C2214yes—
81#2731C2214yes—
82#2728C2214yes—
83#2725C2214yes—
84#2723C2214yes—
85#2723C2214yes—
86#2721C2214yes—
87#2721C2214yes—
88#2718C2214yes—
89#2718C2214yes—
90#2718C2214yes—
91#2712C2214yes—
92#2710C2214yes—
93#2704C2214yes—
94#2702C2214yes—
95#2700C2214yes—
96#2698C2214yes—
97#2698C2214yes—
98#2694C2214yes—
99#2692C2214yes—
100#2690C2214yes—
101#2690C2214yes—
102#2689C2214yes—
103#2680C2214yes—
104#2680C2214yes—
105#2665C2214yes—
106#2664C2214yes—
107#2654C2214yes—
108#2652C2214yes—
109#2650C2214yes—
110#2647C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2641C2212yes—
114#2630C2214yes—
115#2628C2214yes—
116#2625C2214yes—
117#2625C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2620C2212yes—
121#2592C2212yes—
122#2592C2212yes—
123#2589C2212yes—
124#2587C2212yes—
125#2586C2214yes—
126#2585C2212yes—
127#2585C2212yes—
128#2584C2212yes—
129#2584C2211yescharacteristic
130#2582C2212yes—
131#2582C2211yescharacteristic
132#2580C2212yes—
133#2580C2211yescharacteristic
134#2580C2212yes—
135#2580C2212yes—
136#2571C2212yes—
137#2570C2212yes—
138#2568C2211yescharacteristic
139#2568C2212yes—
140#2567C2212yes—
141#2567C2212yes—
142#2567C2211yescharacteristic
143#2566C2211yescharacteristic
144#2565C2214yes—
145#2563C2211yescharacteristic
146#2560C2214yes—
147#2558C2214yes—
148#2552C2212yes—
149#2552C2211yescharacteristic
150#2552C2212yes—
151#2552C2211yescharacteristic
152#2552C2211yescharacteristic
153#2551C2211yescharacteristic
154#2550C2212yes—
155#2550C2211yescharacteristic
156#2548C2212yes—
157#2548C2211yescharacteristic
158#2547C2212yes—
159#2546C2211yescharacteristic
160#2546C2211yescharacteristic
161#2545C2212yes—
162#2542C2212yes—
163#2542C2211yescharacteristic
164#2541C2211yescharacteristic
165#2538C2211yescharacteristic
166#2522C2212yes—
167#2521C2214yes—
168#2519C2214yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2513C2212yes—
175#2513C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2511C2212yes—
180#2511C2212yes—
181#2509C2211yescharacteristic
182#2509C2212yes—
183#2509C2212yes—
184#2509C2211yescharacteristic
185#2509C2211yescharacteristic
186#2508C2212yes—
187#2508C2212yes—
188#2508C2212yes—
189#2507C2211yescharacteristic
190#2506C2212yes—
191#2506C2212yes—
192#2506C2212yes—
193#2497C2212yes—
194#2492C2212yes—
195#2491C2212yes—
196#2489C2214yes—
197#2489C2212yes—
198#2489C2212yes—
199#2486C2214yes—
200#2481C2214yes—
201#2475C2214yes—
202#2474C2214yes—
203#2474C2214yes—
204#2471C2214yes—
205#2468C2214yes—
206#2467C2214yes—
207#2466C2214yes—
208#2465C2214yes—
209#2465C2212yes—
210#2454C2212yes—
211#2454C2212yes—
212#2454C2211yescharacteristic
213#2454C2212yes—
214#2454C2212yes—
215#2453C2211yescharacteristic
216#2453C2211yescharacteristic
217#2452C2212yes—
218#2452C2212yes—
219#2452C2212yes—
220#2452C2212yes—
221#2452C2211yescharacteristic
222#2451C2212yes—
223#2451C2212yes—
224#2449C2214yes—
225#2448C2212yes—
226#2448C2212yes—
227#2448C2212yes—
228#2448C2212yes—
229#2447C2212yes—
230#2447C2212yes—
231#2447C2212yes—
232#2446C2212yes—
233#2446C2212yes—
234#2445C2212yes—
235#2445C2212yes—
236#2445C2212yes—
237#2442C2214yes—
238#2441C2214yes—
239#2429C2212yes—
240#2427C2212yes—
241#2427C2212yes—
242#2426C2212yes—
243#2422C2212yes—
244#2422C2212yes—
245#2421C2212yes—
246#2415C2214yes—
247#2402C2212yes—
248#2402C2212yes—
249#2396C2212yes—
250#2396C2212yes—
251#2379C2214yes—
252#2370C2212yes—
253#2370C2212yes—
254#2370C2212yes—
255#2369C2211yescharacteristic
256#2369C2211yescharacteristic
257#2367C2212yes—
258#2367C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2366C2211yescharacteristic
262#2366C2211yescharacteristic
263#2365C2211yescharacteristic
264#2365C2211yescharacteristic
265#2357C2212yes—
266#2354C2212yes—
267#2354C2212yes—
268Q8×C4⋊C4C2212yes—
269D4×C4⋊C4C2212yes—
270#2331C2212yes—
271#2331C2212yes—
272#2324C2212yes—
273#2323C2212yes—
274#2323C2212yes—
275#2319C2212yes—
276#2319C2212yes—
277#2317C2214yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#125C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#554—48no—
300#541—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×#117C2314yes—
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C22×C4⋊C4C2314yes—
373C22×C42C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2312yes—
476#395C2314yes—
477#395C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#392C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2311yescharacteristic
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2314yes—
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#384C2312yes—
728#384C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840#127—24no—
841#127—44no—
842#126—48no—
843#126—48no—
844#126—48no—
845#126—84no—
846#125—24no—
847#125—28no—
848#125—24no—
849#125—24no—
850#125—42no—
851#125—44no—
852#125—48no—
853#125—48no—
854#125—84no—
855#124—44no—
856#124—44no—
857#124—44no—
858#124—44no—
859#124—48no—
860#124—82no—
861#123—48no—
862#123—84no—
863#123—84no—
864C22⋊Q8—28no—
865C22⋊Q8—44no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—84no—
872C22⋊Q8—84no—
873#121—44no—
874#121—44no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—42no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—82no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—44no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—48no—
897C4×D4—82no—
898#117—44no—
899#117—44no—
900#117—48no—
901#117—48no—
902C2×C4⋊C4—48no—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C42—44no—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
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—
1148C24C2512yes—
1149C24C2514yes—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—41no—
1161C2×Q8—41no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—24no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C22×C4—24no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4H(5,𝔽2)14yes—
1327C4⋊C42−1+414yes—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
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—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—24no—
1390C42—42no—
1391C42—42no—
1392C42—44no—
1393C42—44no—
1394C42—41no—
1395C42—42no—
1396C42—41no—
1397C42—41no—
1398C42—44no—
1399C42—44no—
1400C42—41no—
1401C42—44no—
1402C42—44no—
1403C42—41no—
1404C42—42no—
1405C422−1+414yes—
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—24no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23C2611yescharacteristic
1421Q8—44no—
1422Q8—44no—
1423Q8—48no—
1424Q8—84no—
1425Q8—84no—
1426Q8—84no—
1427Q8—164no—
1428D4—48no—
1429D4—44no—
1430D4—48no—
1431D4—84no—
1432D4—88no—
1433D4—164no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—416no—
1524C2×C4—48no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—164no—
1528C2×C4—164no—
1529C2×C4C2×H(5,𝔽2)14yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+414yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C2×C4#58512yes—
1539C22—42no—
1540C22—44no—
1541C22—42no—
1542C22—44no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—42no—
1548C22—44no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22C22×H(5,𝔽2)11yescharacteristic
1554C22C22×2−1+411yescharacteristic
1555C22C22×2−1+411yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22H(7,𝔽2)11yescharacteristic
1560C4—24no—
1561C4—24no—
1562C4—22no—
1563C4—22no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—41no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4—42no—
1582C4—44no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—44no—
1591C4#355414yes—
1592C4#355514yes—
1593C2—82no—
1594C2—84no—
1595C2C2×#355411yescharacteristic
1596C2C2×#355511yescharacteristic
1597C2#6282711yescharacteristic
1598C2#6292311yescharacteristic
1599C2#6295211yescharacteristic
1600C2#6296211yescharacteristic
1601C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59672C2semidirect
2. #59459C2semidirect
3. #59458C2semidirect
4. #58211C2semidirect
5. #55382C2semidirect
6. #54290C2semidirect
7. #53130C2semidirect
8. #52997C2semidirect
9. #49702C2semidirect
10. #46345C2semidirect
11. #45619C2semidirect
12. #45376C2semidirect
13. #45195C2semidirect
14. #42871C2semidirect
15. #42755C2semidirect
16. #42632C2semidirect
17. #42569C2semidirect
18. #39643C2semidirect
19. #39498C2semidirect
20. #39203C2semidirect
22. #38987C2semidirect
23. #38921C2semidirect
24. #38238C2semidirect
25. #37799C2semidirect
27. #37337C2semidirect
28. #37326C2semidirect
29. #36609C2semidirect
30. #36300C2semidirect
32. #35209C2semidirect
33. #35177C2semidirect
34. #34951C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#596722
#594592
#594582
#582112
#553822
#542902
#531302
#529972
#497022
#463452
#456192
#453762
#451952
#428712
#427552
#426322
#425692
#396432
#394982
#392032
#392012
#389872
#389212
#382382
#377992
#376252
#373372
#373262
#366092
#363002
#361152
#352092
#351772
#349512
#348932