Finite Group Databasebeta

← #7654379

Subgroups — #7654379

Order 512.

4368 conjugacy classes of subgroups.

The subgroup lattice has 1611 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42898C212yesmaximal, complemented
2#42827C212yesmaximal, complemented
3#41855C214yesmaximal, complemented
4#41214C214yesmaximal, complemented
5#40058C212yesmaximal, complemented
6#39822C212yesmaximal, complemented
7#39754C211yesmaximal, characteristic, complemented
8#39271C212yesmaximal, complemented
9#39173C211yesmaximal, characteristic, complemented
10#39139C211yesmaximal, characteristic, complemented
11#39126C211yesmaximal, characteristic
12#39099C214yesmaximal, complemented
13#39032C212yesmaximal, complemented
14#38765C214yesmaximal, complemented
15#37986C212yesmaximal, complemented
16#37952C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37598C212yesmaximal, complemented
19#36589C212yesmaximal, complemented
20#36586C211yesmaximal, characteristic, complemented
21#36476C211yesmaximal, characteristic, complemented
22#36418C212yesmaximal, complemented
23#36193C211yesmaximal, characteristic, complemented
24#36174C211yesmaximal, characteristic, complemented
25#36039C212yesmaximal, complemented
26#35978C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35216C212yesmaximal, complemented
29#35196C212yesmaximal, complemented
30#35185C211yesmaximal, characteristic, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34898C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2866C2214yes—
40#2864C2212yes—
41#2862C2211yescharacteristic
42#2860C2214yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2850C2212yes—
50#2850C2212yes—
51#2839C2214yes—
52#2838C2214yes—
53#2837C2214yes—
54#2807C2214yes—
55#2802C2214yes—
56#2796C2214yes—
57#2796C2214yes—
58#2794C2214yes—
59#2785C2214yes—
60#2781C2214yes—
61#2777C2214yes—
62#2774C2214yes—
63#2773C2214yes—
64#2769C2214yes—
65#2766C2214yes—
66#2765C2214yes—
67#2765C2214yes—
68#2746C2214yes—
69#2744C2214yes—
70#2739C2214yes—
71#2721C2214yes—
72#2702C2214yes—
73#2694C2214yes—
74#2690C2214yes—
75#2690C2214yes—
76#2686C2214yes—
77#2681C2214yes—
78#2666C2214yes—
79#2660C2212yes—
80#2655C2214yes—
81#2654C2214yes—
82#2654C2214yes—
83#2651C2214yes—
84#2651C2214yes—
85#2650C2214yes—
86#2650C2214yes—
87#2649C2214yes—
88#2649C2214yes—
89#2645C2212yes—
90#2642C2212yes—
91#2629C2212yes—
92#2629C2212yes—
93#2625C2212yes—
94#2625C2212yes—
95#2624C2212yes—
96#2621C2212yes—
97#2620C2212yes—
98#2607C2214yes—
99#2606C2214yes—
100#2597C2214yes—
101#2596C2214yes—
102#2596C2214yes—
103#2595C2214yes—
104#2594C2214yes—
105#2593C2214yes—
106#2589C2214yes—
107#2587C2214yes—
108#2584C2212yes—
109#2581C2212yes—
110#2580C2212yes—
111#2578C2214yes—
112#2577C2214yes—
113#2575C2214yes—
114#2575C2214yes—
115#2574C2214yes—
116#2573C2214yes—
117#2571C2212yes—
118#2571C2211yescharacteristic
119#2570C2212yes—
120#2570C2212yes—
121#2570C2214yes—
122#2567C2211yescharacteristic
123#2565C2212yes—
124#2563C2211yescharacteristic
125#2562C2212yes—
126#2552C2211yescharacteristic
127#2552C2212yes—
128#2547C2212yes—
129#2547C2211yescharacteristic
130#2542C2212yes—
131#2542C2211yescharacteristic
132#2538C2211yescharacteristic
133#2537C2212yes—
134#2537C2211yescharacteristic
135#2536C2212yes—
136#2536C2212yes—
137#2532C2212yes—
138#2529C2212yes—
139#2528C2214yes—
140#2526C2214yes—
141#2525C2214yes—
142#2524C2214yes—
143#2522C2214yes—
144#2520C2214yes—
145#2520C2214yes—
146#2518C2214yes—
147#2516C2214yes—
148#2516C2214yes—
149#2516C2214yes—
150#2515C2214yes—
151#2514C2212yes—
152#2514C2212yes—
153#2513C2212yes—
154#2512C2211yescharacteristic
155#2511C2212yes—
156#2510C2214yes—
157#2509C2212yes—
158#2509C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2211yescharacteristic
162#2508C2212yes—
163#2507C2212yes—
164#2497C2212yes—
165#2497C2214yes—
166#2496C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2495C2211yescharacteristic
170#2494C2212yes—
171#2494C2212yes—
172#2492C2212yes—
173#2491C2211yescharacteristic
174#2490C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2487C2212yes—
180#2479C2212yes—
181#2479C2214yes—
182#2478C2214yes—
183#2476C2214yes—
184#2474C2214yes—
185#2474C2212yes—
186#2469C2214yes—
187#2468C2214yes—
188#2453C2212yes—
189#2453C2212yes—
190#2451C2211yescharacteristic
191#2448C2211yescharacteristic
192#2448C2212yes—
193#2448C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2438C2214yes—
199#2426C2211yescharacteristic
200#2426C2212yes—
201#2426C2212yes—
202#2423C2212yes—
203#2423C2212yes—
204#2423C2211yescharacteristic
205#2423C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2420C2212yes—
211#2420C2214yes—
212#2416C2212yes—
213#2402C2214yes—
214#2396C2212yes—
215#2395C2212yes—
216#2395C2214yes—
217#2373C2212yes—
218#2373C2212yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2211yescharacteristic
222#2370C2211yescharacteristic
223#2370C2214yes—
224#2370C2212yes—
225#2369C2211yescharacteristic
226#2367C2211yescharacteristic
227#2367C2211yescharacteristic
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2363C2212yes—
231#2362C2212yes—
232#2362C2214yes—
233#2361C2211yescharacteristic
234#2361C2211yescharacteristic
235#2360C2211yescharacteristic
236#2360C2211yescharacteristic
237#2359C2212yes—
238#2359C2212yes—
239#2357C2212yes—
240#2357C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2354C2211yescharacteristic
246#2352C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2346C2212yes—
251#2344C2212yes—
252#2344C2212yes—
253#2332C2214yes—
254#2330C2212yes—
255#2326C2212yes—
256#2324C2214yes—
257#2324C2212yes—
258#2323C2212yes—
259#2323C2212yes—
260#2323C2212yes—
261#2323C2212yes—
262#2320C2212yes—
263#2314C2212yes—
264#2314C2214yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2214yes—
271C4×#125C2212yes—
272C4×#126C2214yes—
273C4×#126C2212yes—
274C4×#124C2211yescharacteristic
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2211yescharacteristic
280#2298C2214yes—
281#2298C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2285C2212yes—
289#2283C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—28no—
300#554—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#123C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2312yes—
369C22×C42C2312yes—
370#401C2314yes—
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
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#400C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#393C2314yes—
464#393C2312yes—
465#393C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2314yes—
683#384C2312yes—
684#384C2312yes—
685#383C2312yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2311yescharacteristic
807C2×#95C2312yes—
808C43C2312yes—
809C43C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2414yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—28no—
836C4⋊Q8—42no—
837#126—28no—
838#126—44no—
839#126—48no—
840#125—24no—
841#125—28no—
842#125—216no—
843#125—28no—
844#125—44no—
845#125—44no—
846#124—24no—
847#124—42no—
848#124—44no—
849#124—44no—
850#123—28no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—216no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860#121—24no—
861#121—48no—
862#121—44no—
863#121—44no—
864#121—42no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8#4118yes—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—28no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—44no—
887#117—28no—
888#117—28no—
889#117—44no—
890#117—44no—
891#117—48no—
892#117—42no—
893#117—48no—
894#117—42no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C42—24no—
1019C2×C42—44no—
1020C2×C42—44no—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
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#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2511yescharacteristic
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8C2×#4114yes—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—28no—
1194C22×C4—24no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—28no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4C2×#4114yes—
1312C4⋊C4C2×#4118yes—
1313C4⋊C42−1+414yes—
1314C22⋊C4—24no—
1315C22⋊C4—22no—
1316C22⋊C4—28no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—28no—
1363C42—24no—
1364C42—28no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—41no—
1387C42—44no—
1388C42—44no—
1389C42—41no—
1390C42—41no—
1391C42—42no—
1392C42—44no—
1393C42—42no—
1394C42—44no—
1395C42—44no—
1396C42—42no—
1397C42—44no—
1398C42—42no—
1399C42—42no—
1400C42C2×#4114yes—
1401C42C2×#4118yes—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23#58512yes—
1423C23C2611yescharacteristic
1424Q8—28no—
1425Q8—44no—
1426Q8—48no—
1427Q8—84no—
1428Q8—84no—
1429D4—48no—
1430D4—44no—
1431D4—44no—
1432D4—84no—
1433D4—164no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—48no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—48no—
1525C2×C4—84no—
1526C2×C4—88no—
1527C2×C4—84no—
1528C2×C4—84no—
1529C2×C4C22×#4114yes—
1530C2×C4C22×#4112yes—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C2×2−1+414yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C2×C4#58512yes—
1539C2×C4#58512yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22C23×#4111yescharacteristic
1562C22C22×2−1+411yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C4—24no—
1569C4—22no—
1570C4—22no—
1571C4—24no—
1572C4—24no—
1573C4—41no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—44no—
1579C4—42no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—41no—
1588C4—44no—
1589C4—41no—
1590C4—42no—
1591C4—44no—
1592C4—42no—
1593C4—42no—
1594C4—41no—
1595C4—44no—
1596C4—41no—
1597C4—42no—
1598C4#346114yes—
1599C4#352414yes—
1600C2—42no—
1601C2—82no—
1602C2—82no—
1603C2C2×#346111yescharacteristic
1604C2C2×#352411yescharacteristic
1605C2#6281011yescharacteristic
1606C2#6302311yescharacteristic
1607C2#6302911yescharacteristic
1608C2#6303111yescharacteristic
1609C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39126C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42898C2semidirect
2. #42827C2semidirect
3. #41855C2semidirect
4. #41214C2semidirect
5. #40058C2semidirect
6. #39822C2semidirect
7. #39754C2semidirect
8. #39271C2semidirect
9. #39173C2semidirect
10. #39139C2semidirect
12. #39099C2semidirect
13. #39032C2semidirect
14. #38765C2semidirect
15. #37986C2semidirect
16. #37952C2semidirect
17. #37627C2semidirect
18. #37598C2semidirect
19. #36589C2semidirect
20. #36586C2semidirect
21. #36476C2semidirect
22. #36418C2semidirect
23. #36193C2semidirect
24. #36174C2semidirect
25. #36039C2semidirect
26. #35978C2semidirect
27. #35291C2semidirect
28. #35216C2semidirect
29. #35196C2semidirect
30. #35185C2semidirect
31. #34974C2semidirect
32. #34898C2semidirect
33. #34317C2semidirect
34. C4×#557C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#428982
#428272
#418552
#412142
#400582
#398222
#397542
#392712
#391732
#391392
#391262
#390992
#390322
#387652
#379862
#379522
#376272
#375982
#365892
#365862
#364762
#364182
#361932
#361742
#360392
#359782
#352912
#352162
#351962
#351852
#349742
#348982
#343172
C4×#5572
#341532