Finite Group Databasebeta

← #7658064

Subgroups — #7658064

Order 512.

4575 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42609C212yesmaximal, complemented
2#42605C212yesmaximal, complemented
3#42602C212yesmaximal, complemented
4#42598C212yesmaximal, complemented
5#41603C214yesmaximal, complemented
6#41589C214yesmaximal, complemented
7#41530C214yesmaximal, complemented
8#41520C214yesmaximal, complemented
9#39157C211yesmaximal, characteristic, complemented
10#39148C211yesmaximal, characteristic, complemented
11#38985C211yesmaximal, characteristic, complemented
12#38977C211yesmaximal, characteristic, complemented
13#38129C212yesmaximal, complemented
14#38118C212yesmaximal, complemented
15#38073C212yesmaximal, complemented
16#38062C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37511C212yesmaximal, complemented
20#37498C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36412C211yesmaximal, characteristic, complemented
23#36411C211yesmaximal, characteristic, complemented
24#36410C211yesmaximal, characteristic, complemented
25#36073C212yesmaximal, complemented
26#36055C212yesmaximal, complemented
27#36044C212yesmaximal, complemented
28#36037C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35271C212yesmaximal, complemented
31#34639C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34321C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2859C2211yescharacteristic
40#2858C2211yescharacteristic
41#2857C2211yescharacteristic
42#2856C2211yescharacteristic
43#2856C2212yes—
44#2854C2212yes—
45#2854C2212yes—
46#2851C2212yes—
47#2833C2214yes—
48#2829C2214yes—
49#2827C2214yes—
50#2826C2214yes—
51#2825C2214yes—
52#2824C2214yes—
53#2782C2214yes—
54#2778C2214yes—
55#2765C2214yes—
56#2762C2214yes—
57#2761C2214yes—
58#2760C2214yes—
59#2749C2214yes—
60#2749C2214yes—
61#2749C2214yes—
62#2746C2214yes—
63#2743C2214yes—
64#2739C2214yes—
65#2715C2214yes—
66#2714C2214yes—
67#2711C2214yes—
68#2708C2214yes—
69#2700C2214yes—
70#2696C2214yes—
71#2695C2214yes—
72#2694C2214yes—
73#2693C2214yes—
74#2689C2214yes—
75#2688C2214yes—
76#2688C2214yes—
77#2654C2212yes—
78#2653C2212yes—
79#2651C2214yes—
80#2650C2212yes—
81#2650C2214yes—
82#2649C2214yes—
83#2649C2212yes—
84#2648C2214yes—
85#2647C2212yes—
86#2647C2212yes—
87#2647C2211yescharacteristic
88#2645C2212yes—
89#2645C2212yes—
90#2645C2211yescharacteristic
91#2645C2212yes—
92#2645C2212yes—
93#2644C2211yescharacteristic
94#2644C2212yes—
95#2644C2212yes—
96#2644C2212yes—
97#2644C2212yes—
98#2643C2214yes—
99#2643C2214yes—
100#2643C2214yes—
101#2643C2214yes—
102#2641C2212yes—
103#2640C2211yescharacteristic
104#2638C2214yes—
105#2636C2214yes—
106#2636C2214yes—
107#2635C2214yes—
108#2634C2214yes—
109#2630C2214yes—
110#2628C2211yescharacteristic
111#2625C2211yescharacteristic
112#2624C2211yescharacteristic
113#2624C2212yes—
114#2624C2212yes—
115#2620C2211yescharacteristic
116#2620C2212yes—
117#2595C2214yes—
118#2592C2212yes—
119#2589C2214yes—
120#2587C2214yes—
121#2582C2211yescharacteristic
122#2580C2212yes—
123#2576C2214yes—
124#2576C2214yes—
125#2575C2214yes—
126#2572C2214yes—
127#2571C2211yescharacteristic
128#2571C2212yes—
129#2567C2211yescharacteristic
130#2567C2211yescharacteristic
131#2566C2212yes—
132#2560C2214yes—
133#2559C2214yes—
134#2555C2214yes—
135#2555C2214yes—
136#2554C2214yes—
137#2552C2211yescharacteristic
138#2548C2211yescharacteristic
139#2541C2211yescharacteristic
140#2538C2211yescharacteristic
141#2538C2212yes—
142#2535C2212yes—
143#2531C2214yes—
144#2531C2214yes—
145#2526C2214yes—
146#2526C2214yes—
147#2525C2214yes—
148#2519C2214yes—
149#2516C2214yes—
150#2516C2214yes—
151#2515C2214yes—
152#2515C2214yes—
153#2514C2212yes—
154#2514C2212yes—
155#2513C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2510C2214yes—
159#2510C2214yes—
160#2509C2212yes—
161#2508C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2504C2212yes—
165#2503C2212yes—
166#2500C2212yes—
167#2496C2212yes—
168#2496C2212yes—
169#2495C2214yes—
170#2494C2212yes—
171#2494C2212yes—
172#2493C2214yes—
173#2490C2214yes—
174#2490C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2488C2214yes—
178#2485C2212yes—
179#2476C2214yes—
180#2474C2214yes—
181#2464C2214yes—
182#2461C2214yes—
183#2454C2212yes—
184#2454C2212yes—
185#2452C2212yes—
186#2448C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2444C2214yes—
193#2444C2214yes—
194#2442C2212yes—
195#2441C2212yes—
196#2439C2212yes—
197#2431C2212yes—
198#2431C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2425C2214yes—
206#2425C2214yes—
207#2422C2212yes—
208#2422C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2416C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2407C2212yes—
216#2407C2212yes—
217#2401C2214yes—
218#2401C2214yes—
219#2401C2212yes—
220#2401C2214yes—
221#2401C2214yes—
222#2398C2212yes—
223#2396C2212yes—
224#2395C2212yes—
225#2370C2212yes—
226#2369C2211yescharacteristic
227#2367C2214yes—
228#2367C2212yes—
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2364C2214yes—
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2212yes—
238#2361C2212yes—
239#2357C2212yes—
240#2356C2211yescharacteristic
241#2356C2211yescharacteristic
242#2355C2211yescharacteristic
243#2355C2212yes—
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2353C2212yes—
248#2353C2212yes—
249#2349C2211yescharacteristic
250#2349C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2347C2212yes—
254#2346C2211yescharacteristic
255#2346C2211yescharacteristic
256#2343C2212yes—
257#2343C2212yes—
258#2339C2212yes—
259#2339C2211yescharacteristic
260#2339C2211yescharacteristic
261#2337C2214yes—
262#2333C2214yes—
263#2330C2212yes—
264#2328C2212yes—
265#2328C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2319C2212yes—
269#2319C2212yes—
270#2319C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279#2297C2212yes—
280#2297C2212yes—
281#2297C2212yes—
282#2296C2212yes—
283#2296C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2275C2212yes—
294#2274C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#555—28no—
302#550—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307C2×#127C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2314yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C4×#41—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C42C2312yes—
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376C22×C42C2312yes—
377#401C2314yes—
378#401C2314yes—
379#401C2314yes—
380#401C2312yes—
381#401C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#393C2312yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2312yes—
701#383C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2311yescharacteristic
797#376C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—28no—
815C2×#41—42no—
816C2×#41—42no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—42no—
853#127—28no—
854#127—24no—
855#127—44no—
856#126—84no—
857#126—84no—
858#125—44no—
859#125—44no—
860#125—84no—
861#124—216no—
862#124—44no—
863#124—42no—
864#124—82no—
865#124—82no—
866#123—84no—
867#123—84no—
868#123—84no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—84no—
872C22⋊Q8—82no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—216no—
877#121—44no—
878#121—42no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—84no—
883#121—84no—
884#121—84no—
885#121—82no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—82no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—82no—
907C4×D4—84no—
908C4×D4—84no—
909C4×D4#4118yes—
910#117—28no—
911#117—24no—
912#117—28no—
913#117—28no—
914#117—42no—
915#117—42no—
916#117—44no—
917#117—44no—
918#117—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—28no—
1038C2×C42—24no—
1039C2×C42—44no—
1040C2×C42—44no—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2512yes—
1156C24C2511yescharacteristic
1157C24C2514yes—
1158C24C2512yes—
1159#41—416no—
1160#41—816no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4C2×#4114yes—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—28no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4C2×#4118yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—44no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4C2×#4114yes—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4C2×#4118yes—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—24no—
1410C42—24no—
1411C42—28no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—41no—
1432C42—44no—
1433C42—44no—
1434C42—41no—
1435C42—44no—
1436C42—41no—
1437C42—41no—
1438C42C2×#4114yes—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—21no—
1447C23—24no—
1448C23—21no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—24no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—24no—
1462C23—22no—
1463C23—24no—
1464C23—22no—
1465C23—21no—
1466C23C22×#4114yes—
1467C23C2611yescharacteristic
1468Q8—44no—
1469Q8—44no—
1470Q8—84no—
1471Q8—84no—
1472D4—28no—
1473D4—48no—
1474D4—48no—
1475D4—44no—
1476D4—48no—
1477D4—84no—
1478D4—88no—
1479D4—88no—
1480D4—88no—
1481D4—84no—
1482D4—164no—
1483D4—164no—
1484D4—164no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—216no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—88no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—164no—
1583C2×C4—164no—
1584C2×C4—164no—
1585C2×C4C22×#4114yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C2×C4#58512yes—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—41no—
1601C22—44no—
1602C22—42no—
1603C22—41no—
1604C22—44no—
1605C22—42no—
1606C22—44no—
1607C22—41no—
1608C22—42no—
1609C22—44no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—44no—
1615C22—42no—
1616C22—44no—
1617C22—41no—
1618C22—42no—
1619C22—44no—
1620C22—41no—
1621C22C23×#4111yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22H(7,𝔽2)11yescharacteristic
1627C22H(7,𝔽2)11yescharacteristic
1628C4—24no—
1629C4—22no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—44no—
1636C4—41no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—44no—
1655C4—41no—
1656C4—44no—
1657C4#345514yes—
1658C4#352114yes—
1659C2—44no—
1660C2—81no—
1661C2—84no—
1662C2—82no—
1663C2C2×#345511yescharacteristic
1664C2C2×#352111yescharacteristic
1665C2#6285811yescharacteristic
1666C2#6293711yescharacteristic
1667C2#6293711yescharacteristic
1668C2#6296611yescharacteristic
1669C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42609C2semidirect
2. #42605C2semidirect
3. #42602C2semidirect
4. #42598C2semidirect
5. #41603C2semidirect
6. #41589C2semidirect
7. #41530C2semidirect
8. #41520C2semidirect
9. #39157C2semidirect
10. #39148C2semidirect
11. #38985C2semidirect
12. #38977C2semidirect
13. #38129C2semidirect
14. #38118C2semidirect
15. #38073C2semidirect
16. #38062C2semidirect
17. #37638C2semidirect
18. #37625C2semidirect
19. #37511C2semidirect
20. #37498C2semidirect
21. #36416C2semidirect
22. #36412C2semidirect
23. #36411C2semidirect
24. #36410C2semidirect
25. #36073C2semidirect
26. #36055C2semidirect
27. #36044C2semidirect
28. #36037C2semidirect
29. #35288C2semidirect
30. #35271C2semidirect
31. #34639C2semidirect
32. #34619C2semidirect
33. #34330C2semidirect
34. #34321C2semidirect
35. #34123C2semidirect

Maximal subgroups

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

subgroupindex
#426092
#426052
#426022
#425982
#416032
#415892
#415302
#415202
#391572
#391482
#389852
#389772
#381292
#381182
#380732
#380622
#376382
#376252
#375112
#374982
#364162
#364122
#364112
#364102
#360732
#360552
#360442
#360372
#352882
#352712
#346392
#346192
#343302
#343212
#341232