Finite Group Databasebeta

← #7647823

Subgroups — #7647823

Order 512.

4382 conjugacy classes of subgroups.

The subgroup lattice has 1619 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42195C214yesmaximal, complemented
2#42193C214yesmaximal, complemented
3#40580C214yesmaximal, complemented
4#40579C214yesmaximal, complemented
5#39602C212yesmaximal, complemented
6#39475C212yesmaximal, complemented
7#39153C212yesmaximal, complemented
8#38926C212yesmaximal, complemented
9#38118C212yesmaximal, complemented
10#38116C212yesmaximal, complemented
11#37889C212yesmaximal, complemented
12#37887C212yesmaximal, complemented
13#37638C211yesmaximal, characteristic, complemented
14#37637C211yesmaximal, characteristic, complemented
15#37631C211yesmaximal, characteristic, complemented
16#37630C211yesmaximal, characteristic, complemented
17#37407C212yesmaximal, complemented
18#37406C212yesmaximal, complemented
19#37347C212yesmaximal, complemented
20#37338C212yesmaximal, complemented
21#35646C212yesmaximal, complemented
22#35587C212yesmaximal, complemented
23#35315C212yesmaximal, complemented
24#35270C212yesmaximal, complemented
25#35239C211yesmaximal, characteristic, complemented
26#35207C211yesmaximal, characteristic, complemented
27#35200C211yesmaximal, characteristic, complemented
28#35196C211yesmaximal, characteristic, complemented
29#35177C211yesmaximal, characteristic, complemented
30#35176C211yesmaximal, characteristic, complemented
31#34976C211yesmaximal, characteristic
32#34947C211yesmaximal, characteristic, complemented
33#34225C211yesmaximal, characteristic, complemented
34#34123C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×C4×#41C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2857C2212yes—
40#2857C2212yes—
41#2857C2212yes—
42#2855C2212yes—
43#2855C2212yes—
44#2855C2212yes—
45#2854C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2839C2214yes—
52#2838C2214yes—
53#2833C2214yes—
54#2831C2214yes—
55#2794C2214yes—
56#2791C2214yes—
57#2790C2214yes—
58#2789C2214yes—
59#2788C2214yes—
60#2787C2214yes—
61#2787C2214yes—
62#2787C2214yes—
63#2787C2214yes—
64#2784C2214yes—
65#2782C2214yes—
66#2780C2214yes—
67#2779C2214yes—
68#2779C2214yes—
69#2778C2214yes—
70#2778C2214yes—
71#2770C2214yes—
72#2767C2214yes—
73#2765C2214yes—
74#2750C2214yes—
75#2750C2214yes—
76#2749C2214yes—
77#2747C2214yes—
78#2746C2214yes—
79#2744C2214yes—
80#2741C2214yes—
81#2728C2214yes—
82#2720C2214yes—
83#2702C2214yes—
84#2696C2214yes—
85#2695C2214yes—
86#2690C2214yes—
87#2667C2214yes—
88#2666C2214yes—
89#2665C2214yes—
90#2655C2214yes—
91#2653C2214yes—
92#2650C2214yes—
93#2649C2214yes—
94#2647C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2647C2212yes—
98#2645C2212yes—
99#2645C2212yes—
100#2645C2212yes—
101#2645C2212yes—
102#2645C2212yes—
103#2644C2212yes—
104#2642C2212yes—
105#2640C2212yes—
106#2638C2214yes—
107#2637C2214yes—
108#2634C2214yes—
109#2629C2212yes—
110#2628C2212yes—
111#2625C2212yes—
112#2625C2212yes—
113#2609C2214yes—
114#2599C2214yes—
115#2582C2211yescharacteristic
116#2577C2214yes—
117#2577C2214yes—
118#2574C2214yes—
119#2573C2214yes—
120#2571C2211yescharacteristic
121#2570C2212yes—
122#2568C2211yescharacteristic
123#2567C2211yescharacteristic
124#2567C2211yescharacteristic
125#2566C2212yes—
126#2565C2212yes—
127#2564C2214yes—
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2552C2211yescharacteristic
131#2552C2211yescharacteristic
132#2551C2211yescharacteristic
133#2550C2212yes—
134#2547C2211yescharacteristic
135#2546C2211yescharacteristic
136#2542C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2537C2211yescharacteristic
140#2533C2214yes—
141#2533C2214yes—
142#2532C2214yes—
143#2530C2214yes—
144#2529C2214yes—
145#2529C2214yes—
146#2528C2214yes—
147#2528C2214yes—
148#2528C2214yes—
149#2527C2214yes—
150#2527C2214yes—
151#2526C2214yes—
152#2524C2214yes—
153#2522C2214yes—
154#2520C2214yes—
155#2519C2214yes—
156#2516C2214yes—
157#2516C2214yes—
158#2515C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2214yes—
162#2512C2212yes—
163#2511C2212yes—
164#2510C2214yes—
165#2509C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2505C2214yes—
172#2505C2214yes—
173#2499C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2496C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2493C2214yes—
181#2493C2214yes—
182#2492C2212yes—
183#2492C2212yes—
184#2490C2212yes—
185#2489C2212yes—
186#2488C2214yes—
187#2485C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2468C2214yes—
192#2465C2214yes—
193#2458C2214yes—
194#2454C2214yes—
195#2454C2212yes—
196#2453C2212yes—
197#2452C2212yes—
198#2451C2212yes—
199#2450C2214yes—
200#2448C2212yes—
201#2446C2212yes—
202#2442C2212yes—
203#2440C2212yes—
204#2438C2214yes—
205#2432C2212yes—
206#2429C2212yes—
207#2426C2212yes—
208#2423C2212yes—
209#2422C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2407C2212yes—
216#2407C2212yes—
217#2396C2214yes—
218#2392C2214yes—
219#2370C2212yes—
220#2370C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2356C2211yescharacteristic
224#2356C2211yescharacteristic
225#2356C2212yes—
226#2353C2212yes—
227#2353C2212yes—
228#2351C2212yes—
229#2349C2211yescharacteristic
230#2349C2211yescharacteristic
231#2347C2212yes—
232#2346C2211yescharacteristic
233#2346C2212yes—
234#2346C2211yescharacteristic
235#2343C2212yes—
236#2343C2212yes—
237#2339C2211yescharacteristic
238#2339C2211yescharacteristic
239#2331C2212yes—
240#2331C2212yes—
241#2330C2212yes—
242#2330C2212yes—
243#2327C2212yes—
244#2326C2212yes—
245#2324C2212yes—
246#2324C2212yes—
247#2323C2212yes—
248#2323C2212yes—
249#2320C2211yescharacteristic
250#2320C2211yescharacteristic
251#2320C2212yes—
252#2319C2211yescharacteristic
253#2319C2211yescharacteristic
254#2319C2212yes—
255#2319C2212yes—
256#2318C2212yes—
257#2318C2212yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2314C2212yes—
261#2314C2212yes—
262#2314C2212yes—
263#2314C2212yes—
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276#2297C2212yes—
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2295C2211yescharacteristic
280#2295C2211yescharacteristic
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2290C2212yes—
284#2290C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2276C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C4×#41—28no—
325C4×#41—28no—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2314yes—
349C2×#117C2312yes—
350C2×#117C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C42C2312yes—
362C22×C42C2312yes—
363C22×C42C2312yes—
364C22×C42C2312yes—
365C22×C42C2312yes—
366C22×C42C2311yescharacteristic
367#401C2314yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
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#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
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#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
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#392C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#383C2312yes—
683#383C2312yes—
684#383C2312yes—
685#383C2314yes—
686#383C2312yes—
687#383C2312yes—
688#383C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2314yes—
712#381C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794#376C2311yescharacteristic
795#376C2311yescharacteristic
796#376C2312yes—
797#376C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849#126—84no—
850#125—28no—
851#125—44no—
852#125—44no—
853#125—84no—
854#124—44no—
855#123—84no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—84no—
863C22⋊Q8—84no—
864#121—28no—
865#121—44no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—82no—
875C4×Q8—82no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—42no—
887C4×D4—42no—
888C4×D4—84no—
889#117—24no—
890#117—24no—
891#117—28no—
892#117—28no—
893#117—28no—
894#117—42no—
895#117—42no—
896#117—44no—
897#117—44no—
898#117—82no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C42—28no—
1012C2×C42—28no—
1013C2×C42—44no—
1014C2×C42—44no—
1015C2×C42—44no—
1016C2×C42#4118yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
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#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2512yes—
1146C24C2511yescharacteristic
1147C24C2512yes—
1148#41—416no—
1149#41—416no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D42−1+414yes—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4C2×#4114yes—
1223C22×C4C2×#4114yes—
1224C22×C4C2×#4114yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2514yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
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—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—28no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—42no—
1392C42—41no—
1393C42—41no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—41no—
1398C42—41no—
1399C42—44no—
1400C42—44no—
1401C42C2×#4114yes—
1402C42C2×#4114yes—
1403C42C2×#4114yes—
1404C42C2×#4114yes—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23C22×#4112yes—
1425C23C2×2−1+414yes—
1426C23C2611yescharacteristic
1427Q8—48no—
1428Q8—48no—
1429Q8—44no—
1430Q8—44no—
1431Q8—164no—
1432D4—28no—
1433D4—48no—
1434D4—48no—
1435D4—44no—
1436D4—88no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—28no—
1446C2×C4—28no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—44no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—48no—
1529C2×C4—48no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4—84no—
1536C2×C4—84no—
1537C2×C4—84no—
1538C2×C4C22×#4112yes—
1539C2×C4C22×#4112yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C2×2−1+412yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C2×C4#58512yes—
1548C22—22no—
1549C22—24no—
1550C22—22no—
1551C22—22no—
1552C22—24no—
1553C22—24no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—42no—
1559C22—42no—
1560C22—41no—
1561C22—41no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22C23×#4111yescharacteristic
1570C22C22×2−1+411yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C22H(7,𝔽2)11yescharacteristic
1575C222−1+611yescharacteristic
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—44no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—42no—
1594C4—42no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—44no—
1599C4—41no—
1600C4—42no—
1601C4—41no—
1602C4—41no—
1603C4—42no—
1604C4—41no—
1605C4—44no—
1606C4#345514yes—
1607C4#349514yes—
1608C2—42no—
1609C2—44no—
1610C2—82no—
1611C2C2×#345511yescharacteristic
1612C2C2×#349511yescharacteristic
1613C2#6285611yescharacteristic
1614C2#6293611yescharacteristic
1615C2#6293711yescharacteristic
1616C2#6295011yescharacteristic
1617C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34976C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42195C2semidirect
2. #42193C2semidirect
3. #40580C2semidirect
4. #40579C2semidirect
5. #39602C2semidirect
6. #39475C2semidirect
7. #39153C2semidirect
8. #38926C2semidirect
9. #38118C2semidirect
10. #38116C2semidirect
11. #37889C2semidirect
12. #37887C2semidirect
13. #37638C2semidirect
14. #37637C2semidirect
15. #37631C2semidirect
16. #37630C2semidirect
17. #37407C2semidirect
18. #37406C2semidirect
19. #37347C2semidirect
20. #37338C2semidirect
21. #35646C2semidirect
22. #35587C2semidirect
23. #35315C2semidirect
24. #35270C2semidirect
25. #35239C2semidirect
26. #35207C2semidirect
27. #35200C2semidirect
28. #35196C2semidirect
29. #35177C2semidirect
30. #35176C2semidirect
32. #34947C2semidirect
33. #34225C2semidirect
34. #34123C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#421952
#421932
#405802
#405792
#396022
#394752
#391532
#389262
#381182
#381162
#378892
#378872
#376382
#376372
#376312
#376302
#374072
#374062
#373472
#373382
#356462
#355872
#353152
#352702
#352392
#352072
#352002
#351962
#351772
#351762
#349762
#349472
#342252
#341232
#340602