Finite Group Databasebeta

← #7688586

Subgroups — #7688586

Order 512.

4596 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59505C212yesmaximal, complemented
2#59459C211yesmaximal, characteristic, complemented
3#59436C212yesmaximal, complemented
4#59436C212yesmaximal, complemented
5#59433C212yesmaximal, complemented
6#59235C211yesmaximal, characteristic, complemented
7#59230C211yesmaximal, characteristic, complemented
8#59140C212yesmaximal, complemented
9#59119C212yesmaximal
10#44500C214yesmaximal, complemented
11#43787C214yesmaximal, complemented
12#43641C214yesmaximal, complemented
13#40107C212yesmaximal, complemented
14#40106C212yesmaximal, complemented
15#39939C212yesmaximal, complemented
16#39931C212yesmaximal, complemented
17#39035C212yesmaximal, complemented
18#39026C212yesmaximal, complemented
19#36535C211yesmaximal, characteristic, complemented
20#36512C212yesmaximal, complemented
21#36450C211yesmaximal, characteristic, complemented
22#36450C211yesmaximal, characteristic, complemented
23#36449C211yesmaximal, characteristic, complemented
24#36380C212yesmaximal, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36116C211yesmaximal, characteristic, complemented
27D4×#125C211yesmaximal, characteristic, complemented
28#36047C214yesmaximal, complemented
29#34978C211yesmaximal, characteristic, complemented
30#34948C211yesmaximal, characteristic, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34242C212yesmaximal, complemented
33#34239C212yesmaximal, complemented
34C4×#555C211yesmaximal, characteristic
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#529C2212yes—
39C22×#125C2212yes—
40#2864C2212yes—
41#2863C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2851C2212yes—
49#2793C2214yes—
50#2792C2214yes—
51#2789C2214yes—
52#2786C2214yes—
53#2784C2214yes—
54#2767C2214yes—
55#2766C2214yes—
56#2762C2214yes—
57#2747C2214yes—
58#2745C2214yes—
59#2745C2214yes—
60#2745C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2739C2214yes—
64#2737C2214yes—
65#2737C2214yes—
66#2719C2214yes—
67#2717C2214yes—
68#2707C2214yes—
69#2701C2214yes—
70#2666C2214yes—
71#2653C2214yes—
72#2650C2214yes—
73#2612C2214yes—
74#2609C2214yes—
75#2599C2214yes—
76#2599C2214yes—
77#2599C2214yes—
78#2596C2214yes—
79#2594C2214yes—
80#2590C2214yes—
81#2588C2214yes—
82#2588C2214yes—
83#2586C2214yes—
84#2584C2212yes—
85#2581C2212yes—
86#2578C2214yes—
87#2577C2214yes—
88#2577C2214yes—
89#2574C2214yes—
90#2573C2214yes—
91#2571C2211yescharacteristic
92#2571C2211yescharacteristic
93#2570C2212yes—
94#2570C2212yes—
95#2570C2214yes—
96#2570C2212yes—
97#2569C2214yes—
98#2568C2211yescharacteristic
99#2567C2212yes—
100#2567C2212yes—
101#2565C2212yes—
102#2563C2212yes—
103#2563C2212yes—
104#2562C2212yes—
105#2562C2212yes—
106#2552C2211yescharacteristic
107#2552C2211yescharacteristic
108#2552C2211yescharacteristic
109#2552C2211yescharacteristic
110#2551C2211yescharacteristic
111#2550C2212yes—
112#2550C2212yes—
113#2547C2211yescharacteristic
114#2538C2211yescharacteristic
115#2533C2214yes—
116#2530C2214yes—
117#2529C2214yes—
118#2528C2214yes—
119#2528C2214yes—
120#2528C2214yes—
121#2527C2214yes—
122#2524C2214yes—
123#2523C2214yes—
124#2521C2214yes—
125#2520C2214yes—
126#2519C2214yes—
127#2515C2214yes—
128#2514C2212yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2214yes—
132#2514C2212yes—
133#2509C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2506C2212yes—
137#2506C2212yes—
138#2499C2212yes—
139#2499C2212yes—
140#2497C2212yes—
141#2496C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2495C2214yes—
145#2494C2214yes—
146#2494C2212yes—
147#2494C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2494C2212yes—
151#2492C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2212yes—
155#2486C2212yes—
156#2485C2212yes—
157#2485C2212yes—
158#2481C2214yes—
159#2478C2214yes—
160#2478C2214yes—
161#2475C2214yes—
162#2474C2214yes—
163#2473C2214yes—
164#2473C2214yes—
165#2453C2212yes—
166#2451C2212yes—
167#2451C2212yes—
168#2447C2212yes—
169#2447C2214yes—
170#2447C2212yes—
171#2443C2214yes—
172#2442C2212yes—
173#2442C2214yes—
174#2442C2212yes—
175#2442C2212yes—
176#2442C2212yes—
177#2441C2212yes—
178#2441C2212yes—
179#2439C2212yes—
180#2439C2212yes—
181#2439C2212yes—
182#2427C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2419C2214yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2402C2214yes—
192#2401C2214yes—
193#2396C2214yes—
194#2373C2214yes—
195#2373C2212yes—
196#2373C2214yes—
197#2372C2212yes—
198#2372C2212yes—
199#2371C2214yes—
200#2371C2214yes—
201#2371C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2370C2212yes—
206#2369C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2363C2212yes—
210#2363C2212yes—
211#2363C2211yescharacteristic
212#2363C2211yescharacteristic
213#2362C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2362C2211yescharacteristic
217#2360C2211yescharacteristic
218#2359C2212yes—
219#2356C2214yes—
220#2356C2211yescharacteristic
221#2355C2212yes—
222#2355C2212yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2354C2211yescharacteristic
227#2354C2214yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2352C2212yes—
231#2352C2214yes—
232#2352C2211yescharacteristic
233Q8×C4⋊C4C2212yes—
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239#2347C2212yes—
240#2346C2211yescharacteristic
241#2346C2211yescharacteristic
242#2346C2211yescharacteristic
243#2346C2212yes—
244#2345C2212yes—
245#2345C2212yes—
246#2344C2214yes—
247#2344C2212yes—
248#2344C2211yescharacteristic
249#2344C2212yes—
250#2344C2214yes—
251#2343C2212yes—
252#2336C2214yes—
253#2336C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2314C2214yes—
257#2313C2214yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#126C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2296C2212yes—
284#2295C2212yes—
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2283C2212yes—
289#2274C2214yes—
290C42×Q8C2211yescharacteristic
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C4×#117C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299#555—28no—
300#552—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305#529—216no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#125—216no—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2314yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×#117C2314yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2314yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C42C2312yes—
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#401C2314yes—
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#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#391C2312yes—
445#391C2312yes—
446#391C2314yes—
447#391C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2314yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#390C2311yescharacteristic
467#390C2314yes—
468#390C2312yes—
469#390C2312yes—
470#390C2311yescharacteristic
471#390C2312yes—
472#390C2312yes—
473#389C2311yescharacteristic
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2312yes—
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2311yescharacteristic
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2312yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
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#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#384C2312yes—
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#384C2312yes—
649#384C2314yes—
650#384C2312yes—
651#384C2312yes—
652#384C2311yescharacteristic
653#384C2311yescharacteristic
654#383C2312yes—
655#383C2314yes—
656#383C2314yes—
657#383C2314yes—
658#383C2314yes—
659#383C2314yes—
660#382C2312yes—
661#382C2312yes—
662#382C2312yes—
663#382C2312yes—
664#382C2312yes—
665#382C2311yescharacteristic
666#382C2312yes—
667#382C2312yes—
668#382C2314yes—
669#382C2312yes—
670#382C2314yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2314yes—
676#382C2314yes—
677#382C2312yes—
678#381C2314yes—
679#381C2314yes—
680#381C2314yes—
681#381C2312yes—
682#381C2314yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2314yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839#126—28no—
840#126—216no—
841#125—28no—
842#125—28no—
843#125—216no—
844#125—216no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—44no—
849#125#4118yes—
850#124—28no—
851#124—28no—
852#124—28no—
853#123—216no—
854#123—28no—
855C22⋊Q8—28no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860#121—24no—
861#121—28no—
862#121#4118yes—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—48no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—42no—
871C4×D4—28no—
872C4×D4—216no—
873C4×D4—24no—
874C4×D4—24no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—42no—
882#117—24no—
883#117—24no—
884#117—28no—
885#117—24no—
886#117—216no—
887#117—28no—
888#117—44no—
889#117—48no—
890#117—44no—
891#117—44no—
892#117—42no—
893#117—42no—
894#117—42no—
895#117—44no—
896C2×C4⋊C4—28no—
897C2×C4⋊C4—28no—
898C2×C4⋊C4—216no—
899C2×C4⋊C4—216no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C42—28no—
1014C2×C42—28no—
1015C2×C42—24no—
1016C2×C42—24no—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
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#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2511yescharacteristic
1149C24C2511yescharacteristic
1150C24C2512yes—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—42no—
1169C2×D4—41no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4C2×#4114yes—
1174C2×D4C2×#4118yes—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—22no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—41no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4C2×#4114yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4114yes—
1317C4⋊C4C2×#4118yes—
1318C4⋊C4C2×#4118yes—
1319C4⋊C4C2×#4114yes—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—28no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4C2×#4118yes—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—28no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—28no—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—42no—
1386C42—42no—
1387C42—41no—
1388C42—42no—
1389C42—44no—
1390C42—42no—
1391C42—42no—
1392C42—44no—
1393C42—44no—
1394C42—42no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—41no—
1399C42—44no—
1400C42—44no—
1401C42—42no—
1402C42C2×#4114yes—
1403C422−1+414yes—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—21no—
1408C23—22no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23C22×#4114yes—
1424C23C22×#4112yes—
1425C23C2611yescharacteristic
1426Q8—48no—
1427Q8—44no—
1428Q8—84no—
1429Q8—88no—
1430D4—28no—
1431D4—48no—
1432D4—44no—
1433D4—84no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—28no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—44no—
1518C2×C4—416no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—84no—
1526C2×C4—88no—
1527C2×C4—82no—
1528C2×C4—84no—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4114yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4C2×2−1+412yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C22—22no—
1544C22—24no—
1545C22—22no—
1546C22—24no—
1547C22—24no—
1548C22—22no—
1549C22—42no—
1550C22—41no—
1551C22—42no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22C23×#4111yescharacteristic
1565C22C23×#4111yescharacteristic
1566C22C22×2−1+411yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C222−1+611yescharacteristic
1571C4—24no—
1572C4—22no—
1573C4—24no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—24no—
1578C4—22no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—44no—
1585C4—41no—
1586C4—42no—
1587C4—44no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—44no—
1592C4—41no—
1593C4—42no—
1594C4—41no—
1595C4—42no—
1596C4—42no—
1597C4—41no—
1598C4—42no—
1599C4—42no—
1600C4—44no—
1601C4#351514yes—
1602C4#351814yes—
1603C2—42no—
1604C2—44no—
1605C2—81no—
1606C2#41211yescharacteristic
1607C2C2×#351511yescharacteristic
1608C2C2×#351811yescharacteristic
1609C2#6292811yescharacteristic
1610C2#6299111yescharacteristic
1611C2#6300911yescharacteristic
1612C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#555C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59505C2semidirect
2. #59459C2semidirect
3. #59436C2semidirect
4. #59436C2semidirect
5. #59433C2semidirect
6. #59235C2semidirect
7. #59230C2semidirect
8. #59140C2semidirect
10. #44500C2semidirect
11. #43787C2semidirect
12. #43641C2semidirect
13. #40107C2semidirect
14. #40106C2semidirect
15. #39939C2semidirect
16. #39931C2semidirect
17. #39035C2semidirect
18. #39026C2semidirect
19. #36535C2semidirect
20. #36512C2semidirect
21. #36450C2semidirect
22. #36450C2semidirect
23. #36449C2semidirect
24. #36380C2semidirect
25. #36210C2semidirect
26. #36116C2semidirect
27. D4×#125C2semidirect
28. #36047C2semidirect
29. #34978C2semidirect
30. #34948C2semidirect
31. #34945C2semidirect
32. #34242C2semidirect
33. #34239C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#595052
#594592
#594362
#594332
#592352
#592302
#591402
#591192
#445002
#437872
#436412
#401072
#401062
#399392
#399312
#390352
#390262
#365352
#365122
#364502
#364492
#363802
#362102
#361162
D4×#1252
#360472
#349782
#349482
#349452
#342422
#342392
C4×#5552
C4×#5522