Finite Group Databasebeta

← #7654399

Subgroups — #7654399

Order 512.

4813 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42784C212yesmaximal, complemented
2#42779C212yesmaximal, complemented
3#41897C214yesmaximal, complemented
4#41366C214yesmaximal, complemented
5#40081C212yesmaximal, complemented
6#39560C212yesmaximal, complemented
7#39546C212yesmaximal, complemented
8#39488C211yesmaximal, characteristic, complemented
9#39471C211yesmaximal, characteristic
10#39468C211yesmaximal, characteristic, complemented
11#39113C214yesmaximal, complemented
12#39009C212yesmaximal, complemented
13#38965C211yesmaximal, characteristic, complemented
14#38795C214yesmaximal, complemented
15#38218C212yesmaximal, complemented
16#37971C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37512C212yesmaximal, complemented
19#36554C212yesmaximal, complemented
20#36453C211yesmaximal, characteristic, complemented
21#36450C211yesmaximal, characteristic, complemented
22#36272C211yesmaximal, characteristic, complemented
23#36268C212yesmaximal, complemented
24#36188C211yesmaximal, characteristic, complemented
25#35802C212yesmaximal, complemented
26#35787C212yesmaximal, complemented
27#35284C211yesmaximal, characteristic, complemented
28#35267C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35017C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34797C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#552C2212yes—
39C2×#547C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#520C2212yes—
42#2868C2211yescharacteristic
43#2863C2212yes—
44#2863C2212yes—
45#2863C2214yes—
46#2861C2212yes—
47#2860C2214yes—
48#2859C2211yescharacteristic
49#2859C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2855C2212yes—
54#2837C2214yes—
55#2831C2214yes—
56#2829C2214yes—
57#2800C2214yes—
58#2778C2214yes—
59#2777C2214yes—
60#2777C2214yes—
61#2768C2214yes—
62#2766C2214yes—
63#2765C2214yes—
64#2761C2214yes—
65#2761C2214yes—
66#2759C2214yes—
67#2756C2214yes—
68#2756C2214yes—
69#2755C2214yes—
70#2743C2214yes—
71#2741C2214yes—
72#2740C2214yes—
73#2730C2214yes—
74#2718C2214yes—
75#2718C2214yes—
76#2715C2214yes—
77#2710C2214yes—
78#2704C2214yes—
79#2703C2214yes—
80#2691C2214yes—
81#2667C2214yes—
82#2666C2214yes—
83#2654C2214yes—
84#2651C2214yes—
85#2648C2214yes—
86#2648C2214yes—
87#2647C2212yes—
88#2645C2214yes—
89#2644C2214yes—
90#2636C2214yes—
91#2630C2214yes—
92#2629C2212yes—
93#2629C2212yes—
94#2629C2212yes—
95#2625C2212yes—
96#2624C2212yes—
97#2620C2212yes—
98#2620C2212yes—
99#2616C2212yes—
100#2615C2212yes—
101#2611C2214yes—
102#2609C2214yes—
103#2602C2214yes—
104#2601C2214yes—
105#2601C2214yes—
106#2601C2214yes—
107#2590C2214yes—
108#2589C2214yes—
109#2585C2214yes—
110#2584C2212yes—
111#2577C2214yes—
112#2576C2214yes—
113#2574C2214yes—
114#2568C2212yes—
115#2568C2211yescharacteristic
116#2556C2214yes—
117#2554C2214yes—
118#2553C2214yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2547C2212yes—
122#2547C2211yescharacteristic
123#2547C2211yescharacteristic
124#2544C2212yes—
125#2542C2211yescharacteristic
126#2540C2212yes—
127#2538C2211yescharacteristic
128#2538C2212yes—
129#2537C2211yescharacteristic
130#2532C2212yes—
131#2531C2214yes—
132#2529C2214yes—
133#2529C2212yes—
134#2528C2214yes—
135#2525C2214yes—
136#2522C2214yes—
137#2520C2214yes—
138#2519C2214yes—
139#2518C2214yes—
140#2514C2212yes—
141#2512C2211yescharacteristic
142#2510C2214yes—
143#2510C2214yes—
144#2508C2211yescharacteristic
145#2507C2212yes—
146#2507C2212yes—
147#2507C2212yes—
148#2502C2212yes—
149#2500C2212yes—
150#2499C2212yes—
151#2499C2214yes—
152#2497C2212yes—
153#2497C2212yes—
154#2497C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2212yes—
158#2496C2214yes—
159#2495C2212yes—
160#2495C2211yescharacteristic
161#2494C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2492C2212yes—
165#2491C2211yescharacteristic
166#2490C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2487C2212yes—
170#2485C2212yes—
171#2485C2214yes—
172#2481C2214yes—
173#2481C2214yes—
174#2479C2214yes—
175#2479C2212yes—
176#2475C2214yes—
177#2474C2212yes—
178#2473C2214yes—
179#2467C2214yes—
180#2467C2214yes—
181#2463C2214yes—
182#2461C2214yes—
183#2460C2214yes—
184#2454C2212yes—
185#2453C2212yes—
186#2451C2212yes—
187#2451C2211yescharacteristic
188#2449C2214yes—
189#2448C2212yes—
190#2448C2211yescharacteristic
191#2446C2212yes—
192#2446C2212yes—
193#2441C2212yes—
194#2440C2212yes—
195#2432C2212yes—
196#2432C2212yes—
197#2431C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2211yescharacteristic
207#2423C2211yescharacteristic
208#2423C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2420C2212yes—
212#2417C2212yes—
213#2415C2212yes—
214#2414C2212yes—
215#2407C2212yes—
216#2396C2212yes—
217#2395C2212yes—
218#2395C2214yes—
219#2392C2214yes—
220#2373C2214yes—
221#2372C2212yes—
222#2372C2212yes—
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2367C2212yes—
226#2366C2211yescharacteristic
227#2366C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2363C2211yescharacteristic
232#2363C2211yescharacteristic
233#2363C2212yes—
234#2363C2211yescharacteristic
235#2363C2212yes—
236#2363C2211yescharacteristic
237#2362C2212yes—
238#2362C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2359C2214yes—
244#2356C2212yes—
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2354C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yes—
251#2345C2212yes—
252#2344C2212yes—
253#2339C2212yes—
254#2330C2212yes—
255#2329C2214yes—
256#2323C2212yes—
257#2323C2212yes—
258#2322C2214yes—
259#2318C2214yes—
260#2317C2212yes—
261#2316C2212yes—
262#2314C2212yes—
263#2314C2212yes—
264#2311C2212yes—
265#2311C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×#125C2212yes—
270C4×#126C2212yes—
271C4×#126C2214yes—
272C4×#126C2214yes—
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281#2297C2212yes—
282#2297C2212yes—
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2214yes—
289C2×#389C2212yes—
290#2285C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—28no—
302#556—48no—
303#552—48no—
304#547—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347#520—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
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#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#383C2314yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2314yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#381C2314yes—
716#381C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C43C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—42no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856#127—24no—
857#126—28no—
858#126—216no—
859#126—48no—
860#126—48no—
861#126—48no—
862#125—44no—
863#125—44no—
864#125—48no—
865#125—44no—
866#124—28no—
867#124—28no—
868#124—42no—
869#124—44no—
870#124—44no—
871#124—44no—
872#123—216no—
873#123—48no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—24no—
885#121—28no—
886#121—24no—
887#121—28no—
888#121—44no—
889#121—44no—
890#121—42no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—48no—
915C4×D4#4118yes—
916#117—28no—
917#117—24no—
918#117—24no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—48no—
923#117—48no—
924#117—42no—
925#117—48no—
926#117—44no—
927#117—42no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—48no—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—44no—
1059C2×C42—44no—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174#41—432no—
1175#41—816no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4C2×#4114yes—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—28no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C2×#4118yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4C2×#4114yes—
1358C4⋊C4H(5,𝔽2)14yes—
1359C4⋊C42−1+414yes—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—41no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4C2×#4118yes—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—28no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—28no—
1424C42—28no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—41no—
1446C42—44no—
1447C42—42no—
1448C42—44no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42C2×#4114yes—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23C22×#4114yes—
1484C23C2611yescharacteristic
1485Q8—48no—
1486Q8—48no—
1487Q8—44no—
1488Q8—84no—
1489Q8—84no—
1490D4—28no—
1491D4—48no—
1492D4—416no—
1493D4—44no—
1494D4—44no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—88no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—216no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—416no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—84no—
1589C2×C4—88no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—164no—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C2×H(5,𝔽2)14yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4#58512yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22C23×#4111yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C22×2−1+411yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C4—22no—
1642C4—24no—
1643C4—22no—
1644C4—22no—
1645C4—24no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—44no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—44no—
1669C4—44no—
1670C4#346014yes—
1671C4#352114yes—
1672C2—44no—
1673C2—82no—
1674C2—82no—
1675C2—81no—
1676C2C2×#346011yescharacteristic
1677C2C2×#352111yescharacteristic
1678C2#6280511yescharacteristic
1679C2#6301811yescharacteristic
1680C2#6302511yescharacteristic
1681C2#6303111yescharacteristic
1682C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39471C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42784C2semidirect
2. #42779C2semidirect
3. #41897C2semidirect
4. #41366C2semidirect
5. #40081C2semidirect
6. #39560C2semidirect
7. #39546C2semidirect
8. #39488C2semidirect
10. #39468C2semidirect
11. #39113C2semidirect
12. #39009C2semidirect
13. #38965C2semidirect
14. #38795C2semidirect
15. #38218C2semidirect
16. #37971C2semidirect
17. #37627C2semidirect
18. #37512C2semidirect
19. #36554C2semidirect
20. #36453C2semidirect
21. #36450C2semidirect
22. #36272C2semidirect
23. #36268C2semidirect
24. #36188C2semidirect
25. #35802C2semidirect
26. #35787C2semidirect
27. #35284C2semidirect
28. #35267C2semidirect
29. #35184C2semidirect
30. #35017C2semidirect
31. #34974C2semidirect
32. #34797C2semidirect
33. #34308C2semidirect
34. C4×#556C2semidirect
35. #34155C2semidirect

Maximal subgroups

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

subgroupindex
#427842
#427792
#418972
#413662
#400812
#395602
#395462
#394882
#394712
#394682
#391132
#390092
#389652
#387952
#382182
#379712
#376272
#375122
#365542
#364532
#364502
#362722
#362682
#361882
#358022
#357872
#352842
#352672
#351842
#350172
#349742
#347972
#343082
C4×#5562
#341552