Finite Group Databasebeta

← #7647084

Subgroups — #7647084

Order 512.

5011 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42637C212yesmaximal, complemented
2#42633C212yesmaximal, complemented
3#42555C212yesmaximal, complemented
4#42552C212yesmaximal, complemented
5#41907C214yesmaximal, complemented
6#41852C214yesmaximal, complemented
7#39634C211yesmaximal, characteristic, complemented
8#39606C211yesmaximal, characteristic, complemented
9#39425C212yesmaximal, complemented
10#39370C211yesmaximal, characteristic, complemented
11#39350C211yesmaximal, characteristic, complemented
12#39077C212yesmaximal, complemented
13#38984C211yesmaximal, characteristic, complemented
14#38951C211yesmaximal, characteristic, complemented
15#38920C211yesmaximal, characteristic, complemented
16#38908C211yesmaximal, characteristic, complemented
17#38252C212yesmaximal, complemented
18#38204C212yesmaximal, complemented
19#37524C212yesmaximal, complemented
20#37504C212yesmaximal, complemented
21#36948C214yesmaximal, complemented
22#36940C214yesmaximal, complemented
23#35526C212yesmaximal, complemented
24#35521C212yesmaximal, complemented
25#35291C211yesmaximal, characteristic, complemented
26#35257C212yesmaximal, complemented
27#35241C212yesmaximal, complemented
28#35231C212yesmaximal, complemented
29#35195C212yesmaximal, complemented
30#35184C211yesmaximal, characteristic, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic, complemented
33#34308C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#544C2212yes—
39C2×#542C2212yes—
40C2×#533C2212yes—
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C2×#520C2212yes—
44C2×C4×#41C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2861C2212yes—
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2214yes—
51#2857C2211yescharacteristic
52#2852C2214yes—
53#2851C2214yes—
54#2850C2214yes—
55#2839C2214yes—
56#2836C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2791C2214yes—
60#2780C2214yes—
61#2780C2214yes—
62#2778C2214yes—
63#2778C2214yes—
64#2768C2214yes—
65#2767C2214yes—
66#2765C2214yes—
67#2764C2214yes—
68#2762C2214yes—
69#2762C2214yes—
70#2750C2214yes—
71#2749C2214yes—
72#2748C2214yes—
73#2746C2214yes—
74#2743C2214yes—
75#2740C2214yes—
76#2738C2214yes—
77#2730C2214yes—
78#2729C2214yes—
79#2729C2214yes—
80#2718C2214yes—
81#2717C2214yes—
82#2707C2214yes—
83#2706C2214yes—
84#2706C2214yes—
85#2706C2214yes—
86#2704C2214yes—
87#2702C2214yes—
88#2698C2214yes—
89#2695C2214yes—
90#2693C2214yes—
91#2667C2214yes—
92#2664C2214yes—
93#2664C2214yes—
94#2655C2214yes—
95#2654C2214yes—
96#2654C2214yes—
97#2652C2214yes—
98#2647C2212yes—
99#2646C2214yes—
100#2645C2212yes—
101#2645C2212yes—
102#2643C2214yes—
103#2636C2214yes—
104#2631C2214yes—
105#2629C2212yes—
106#2629C2212yes—
107#2629C2214yes—
108#2628C2214yes—
109#2625C2212yes—
110#2625C2212yes—
111#2625C2212yes—
112#2624C2212yes—
113#2620C2212yes—
114#2609C2214yes—
115#2599C2214yes—
116#2598C2214yes—
117#2581C2212yes—
118#2568C2212yes—
119#2568C2211yescharacteristic
120#2565C2214yes—
121#2560C2212yes—
122#2559C2212yes—
123#2558C2212yes—
124#2557C2212yes—
125#2556C2214yes—
126#2552C2211yescharacteristic
127#2551C2211yescharacteristic
128#2547C2211yescharacteristic
129#2547C2212yes—
130#2546C2211yescharacteristic
131#2546C2212yes—
132#2545C2214yes—
133#2542C2212yes—
134#2542C2211yescharacteristic
135#2538C2211yescharacteristic
136#2538C2212yes—
137#2538C2211yescharacteristic
138#2538C2212yes—
139#2536C2214yes—
140#2535C2212yes—
141#2525C2214yes—
142#2524C2214yes—
143#2519C2214yes—
144#2514C2212yes—
145#2514C2212yes—
146#2512C2211yescharacteristic
147#2511C2212yes—
148#2510C2214yes—
149#2509C2212yes—
150#2508C2212yes—
151#2507C2212yes—
152#2506C2211yescharacteristic
153#2506C2212yes—
154#2506C2212yes—
155#2505C2214yes—
156#2502C2212yes—
157#2502C2212yes—
158#2498C2214yes—
159#2498C2214yes—
160#2496C2212yes—
161#2496C2211yescharacteristic
162#2495C2212yes—
163#2495C2212yes—
164#2494C2212yes—
165#2492C2212yes—
166#2491C2211yescharacteristic
167#2489C2212yes—
168#2489C2212yes—
169#2487C2212yes—
170#2487C2212yes—
171#2487C2212yes—
172#2486C2212yes—
173#2481C2214yes—
174#2477C2214yes—
175#2475C2214yes—
176#2473C2214yes—
177#2471C2214yes—
178#2471C2214yes—
179#2466C2214yes—
180#2463C2214yes—
181#2461C2214yes—
182#2460C2214yes—
183#2457C2214yes—
184#2456C2214yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2453C2212yes—
189#2453C2212yes—
190#2452C2212yes—
191#2452C2211yescharacteristic
192#2452C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2450C2214yes—
196#2450C2214yes—
197#2449C2214yes—
198#2449C2214yes—
199#2448C2212yes—
200#2447C2212yes—
201#2446C2212yes—
202#2445C2211yescharacteristic
203#2442C2212yes—
204#2442C2212yes—
205#2440C2212yes—
206#2439C2212yes—
207#2432C2212yes—
208#2431C2212yes—
209#2429C2212yes—
210#2428C2211yescharacteristic
211#2427C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2422C2211yescharacteristic
215#2421C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2414C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2398C2212yes—
229#2396C2214yes—
230#2392C2212yes—
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2362C2212yes—
234#2361C2212yes—
235#2361C2212yes—
236#2360C2212yes—
237#2359C2214yes—
238#2359C2214yes—
239#2354C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2344C2212yes—
244#2344C2212yes—
245#2339C2212yes—
246#2339C2212yes—
247#2335C2212yes—
248#2335C2212yes—
249#2334C2212yes—
250#2334C2212yes—
251#2330C2211yescharacteristic
252#2330C2211yescharacteristic
253#2328C2212yes—
254#2326C2211yescharacteristic
255#2326C2211yescharacteristic
256#2324C2211yescharacteristic
257#2324C2211yescharacteristic
258#2324C2212yes—
259#2323C2212yes—
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2212yes—
263#2323C2212yes—
264#2322C2214yes—
265#2320C2212yes—
266#2320C2212yes—
267#2317C2212yes—
268#2314C2212yes—
269#2311C2212yes—
270#2311C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2214yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283#2298C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290C2×#389C2212yes—
291#2290C2212yes—
292#2290C2212yes—
293#2285C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#547—28no—
302#547—28no—
303#544—48no—
304#542—48no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314#529—28no—
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356#520—48no—
357C4×#41—48no—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2314yes—
405C22×C42C2312yes—
406#401C2314yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2314yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#383C2314yes—
725#383C2314yes—
726#383C2314yes—
727#382C2314yes—
728#382C2312yes—
729#382C2314yes—
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811#376C2311yescharacteristic
812#376C2312yes—
813#376C2311yescharacteristic
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—28no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—48no—
862#127—24no—
863#126—28no—
864#126—44no—
865#126—44no—
866#126—48no—
867#125—24no—
868#125—44no—
869#125—48no—
870#125—48no—
871#125—44no—
872#125—44no—
873#124—24no—
874#124—44no—
875#124—48no—
876#124—44no—
877#123—28no—
878#123—216no—
879#123—216no—
880#123—44no—
881#123—44no—
882#123—48no—
883C22⋊Q8—28no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897#121—24no—
898#121—28no—
899#121—24no—
900#121—28no—
901#121—24no—
902#121—44no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—44no—
908C4×Q8—48no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—48no—
919C4×D4—48no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4#4118yes—
931#117—28no—
932#117—28no—
933#117—28no—
934#117—24no—
935#117—42no—
936#117—48no—
937#117—44no—
938#117—44no—
939#117—48no—
940#117—48no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C42—24no—
1077C2×C42—28no—
1078C2×C42—44no—
1079C2×C42—48no—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2512yes—
1187C24C2512yes—
1188#41—432no—
1189#41—432no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—28no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—42no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4C2×#4114yes—
1234C2×D42−1+414yes—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4C2×#4118yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4C2×#4114yes—
1385C4⋊C4H(5,𝔽2)14yes—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4C2×#4118yes—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—28no—
1449C42—24no—
1450C42—28no—
1451C42—24no—
1452C42—22no—
1453C42—28no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—42no—
1462C42—42no—
1463C42—44no—
1464C42—41no—
1465C42—42no—
1466C42—41no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—44no—
1471C42—42no—
1472C42C2×#4114yes—
1473C42H(5,𝔽2)14yes—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23C22×#4114yes—
1501C23C2×2−1+414yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—48no—
1505Q8—48no—
1506Q8—88no—
1507Q8—84no—
1508D4—28no—
1509D4—28no—
1510D4—416no—
1511D4—416no—
1512D4—44no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—216no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—416no—
1604C2×C4—416no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—164no—
1614C2×C4—164no—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×H(5,𝔽2)12yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4#58512yes—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22C23×#4111yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×2−1+411yescharacteristic
1658C22C2×#58511yescharacteristic
1659C222−1+611yescharacteristic
1660C222−1+611yescharacteristic
1661C4—24no—
1662C4—22no—
1663C4—22no—
1664C4—24no—
1665C4—22no—
1666C4—41no—
1667C4—44no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—44no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4#346014yes—
1691C4#352014yes—
1692C2—44no—
1693C2—44no—
1694C2—81no—
1695C2—82no—
1696C2C2×#346011yescharacteristic
1697C2C2×#352011yescharacteristic
1698C2#6286111yescharacteristic
1699C2#6291411yescharacteristic
1700C2#6292211yescharacteristic
1701C2#6294211yescharacteristic
1702C2#6295011yescharacteristic
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. #42637C2semidirect
2. #42633C2semidirect
3. #42555C2semidirect
4. #42552C2semidirect
5. #41907C2semidirect
6. #41852C2semidirect
7. #39634C2semidirect
8. #39606C2semidirect
9. #39425C2semidirect
10. #39370C2semidirect
11. #39350C2semidirect
12. #39077C2semidirect
13. #38984C2semidirect
14. #38951C2semidirect
15. #38920C2semidirect
16. #38908C2semidirect
17. #38252C2semidirect
18. #38204C2semidirect
19. #37524C2semidirect
20. #37504C2semidirect
21. #36948C2semidirect
22. #36940C2semidirect
23. #35526C2semidirect
24. #35521C2semidirect
25. #35291C2semidirect
26. #35257C2semidirect
27. #35241C2semidirect
28. #35231C2semidirect
29. #35195C2semidirect
30. #35184C2semidirect
31. #34929C2semidirect
32. #34914C2semidirect
33. #34308C2semidirect
34. C4×#547C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#426372
#426332
#425552
#425522
#419072
#418522
#396342
#396062
#394252
#393702
#393502
#390772
#389842
#389512
#389202
#389082
#382522
#382042
#375242
#375042
#369482
#369402
#355262
#355212
#352912
#352572
#352412
#352312
#351952
#351842
#349292
#349142
#343082
C4×#5472
#340842