Finite Group Databasebeta

← #7987074

Subgroups — #7987074

Order 512.

4666 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59467C211yesmaximal, characteristic, complemented
2#59289C212yesmaximal, complemented
3#59213C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59062C212yesmaximal, complemented
6#49314C214yesmaximal, complemented
7#48955C214yesmaximal, complemented
8#46116C212yesmaximal, complemented
9#45617C212yesmaximal, complemented
10#45191C212yesmaximal, complemented
11#45135C212yesmaximal, complemented
12#43241C214yesmaximal, complemented
13#42728C212yesmaximal, complemented
14#42501C212yesmaximal, complemented
15#41144C214yesmaximal, complemented
16#40195C212yesmaximal, complemented
17#39856C212yesmaximal, complemented
18#39606C211yesmaximal, characteristic, complemented
19#39021C212yesmaximal, complemented
20#39008C212yesmaximal, complemented
21#38930C211yesmaximal, characteristic, complemented
22#37936C212yesmaximal, complemented
23#36449C211yesmaximal, characteristic, complemented
24#36290C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36116C211yesmaximal, characteristic, complemented
28#36114C212yesmaximal, complemented
29#35202C211yesmaximal, characteristic, complemented
30#35181C211yesmaximal, characteristic, complemented
31#35026C212yesmaximal, complemented
32#34932C211yesmaximal, characteristic, complemented
33#34917C211yesmaximal, characteristic, complemented
34#34461C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2211yescharacteristic
38C2×#553C2212yes—
39C2×#529C2212yes—
40C2×#529C2212yes—
41#2864C2212yes—
42#2863C2212yes—
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2851C2212yes—
49#2851C2212yes—
50#2851C2212yes—
51#2851C2212yes—
52#2839C2214yes—
53#2827C2214yes—
54#2802C2214yes—
55#2794C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2787C2214yes—
59#2783C2214yes—
60#2772C2214yes—
61#2771C2214yes—
62#2770C2214yes—
63#2770C2214yes—
64#2769C2214yes—
65#2768C2214yes—
66#2766C2214yes—
67#2748C2214yes—
68#2746C2214yes—
69#2744C2214yes—
70#2744C2214yes—
71#2743C2214yes—
72#2743C2214yes—
73#2740C2214yes—
74#2739C2214yes—
75#2738C2214yes—
76#2722C2214yes—
77#2722C2214yes—
78#2722C2214yes—
79#2718C2214yes—
80#2718C2214yes—
81#2708C2214yes—
82#2708C2214yes—
83#2701C2214yes—
84#2695C2214yes—
85#2691C2214yes—
86#2671C2214yes—
87#2667C2214yes—
88#2655C2214yes—
89#2652C2214yes—
90#2652C2214yes—
91#2649C2214yes—
92#2647C2212yes—
93#2646C2214yes—
94#2630C2214yes—
95#2629C2212yes—
96#2606C2214yes—
97#2596C2214yes—
98#2590C2214yes—
99#2585C2214yes—
100#2585C2214yes—
101#2578C2214yes—
102#2578C2212yes—
103#2576C2212yes—
104#2573C2214yes—
105#2571C2212yes—
106#2571C2211yescharacteristic
107#2571C2211yescharacteristic
108#2570C2211yescharacteristic
109#2570C2214yes—
110#2570C2212yes—
111#2570C2212yes—
112#2566C2211yescharacteristic
113#2565C2212yes—
114#2562C2211yescharacteristic
115#2562C2212yes—
116#2553C2214yes—
117#2552C2211yescharacteristic
118#2552C2212yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2552C2212yes—
122#2552C2211yescharacteristic
123#2552C2211yescharacteristic
124#2547C2211yescharacteristic
125#2542C2211yescharacteristic
126#2538C2212yes—
127#2537C2212yes—
128#2537C2211yescharacteristic
129#2537C2212yes—
130#2536C2212yes—
131#2535C2211yescharacteristic
132#2530C2214yes—
133#2515C2212yes—
134#2514C2212yes—
135#2509C2212yes—
136#2509C2212yes—
137#2509C2212yes—
138#2509C2212yes—
139#2507C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2505C2214yes—
144#2505C2214yes—
145#2503C2212yes—
146#2502C2212yes—
147#2498C2214yes—
148#2497C2211yescharacteristic
149#2497C2212yes—
150#2496C2212yes—
151#2496C2212yes—
152#2496C2214yes—
153#2496C2212yes—
154#2496C2212yes—
155#2495C2212yes—
156#2495C2212yes—
157#2494C2211yescharacteristic
158#2494C2212yes—
159#2494C2212yes—
160#2493C2214yes—
161#2493C2214yes—
162#2489C2212yes—
163#2486C2212yes—
164#2486C2212yes—
165#2486C2212yes—
166#2485C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2485C2214yes—
171#2478C2214yes—
172#2478C2214yes—
173#2473C2214yes—
174#2473C2214yes—
175#2470C2214yes—
176#2470C2214yes—
177#2468C2214yes—
178#2468C2214yes—
179#2466C2214yes—
180#2466C2214yes—
181#2466C2214yes—
182#2457C2212yes—
183#2454C2212yes—
184#2453C2212yes—
185#2453C2212yes—
186#2453C2212yes—
187#2447C2212yes—
188#2443C2214yes—
189#2442C2212yes—
190#2442C2212yes—
191#2442C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2425C2214yes—
202#2423C2212yes—
203#2422C2214yes—
204#2422C2212yes—
205#2422C2211yescharacteristic
206#2421C2212yes—
207#2421C2212yes—
208#2421C2212yes—
209#2420C2211yescharacteristic
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2419C2214yes—
214#2419C2214yes—
215#2419C2214yes—
216#2417C2212yes—
217#2417C2212yes—
218#2415C2212yes—
219#2413C2214yes—
220#2401C2212yes—
221#2395C2214yes—
222#2392C2212yes—
223#2383C2214yes—
224#2376C2214yes—
225#2374C2212yes—
226#2373C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2364C2212yes—
233#2363C2211yescharacteristic
234#2362C2212yes—
235#2361C2214yes—
236#2361C2212yes—
237#2361C2212yes—
238#2361C2211yescharacteristic
239#2357C2211yescharacteristic
240#2353C2212yes—
241#2352C2211yescharacteristic
242#2352C2212yes—
243Q8×C4⋊C4C2212yes—
244#2349C2212yes—
245#2349C2212yes—
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2214yes—
254#2347C2212yes—
255#2347C2211yescharacteristic
256#2345C2211yescharacteristic
257#2345C2212yes—
258#2344C2214yes—
259#2344C2212yes—
260#2334C2214yes—
261#2330C2212yes—
262#2330C2212yes—
263#2325C2214yes—
264#2324C2212yes—
265#2322C2214yes—
266#2319C2212yes—
267#2318C2214yes—
268#2317C2212yes—
269#2317C2212yes—
270#2313C2214yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2211yescharacteristic
274C4×#126C2212yes—
275C4×#124C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C2×#389C2212yes—
286C2×#389C2212yes—
287#2290C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#553—28no—
300#553—216no—
301#553—48no—
302C2×C4⋊Q8C2311yescharacteristic
303#529—48no—
304#529—48no—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2314yes—
337C2×#121C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2312yes—
384#401C2312yes—
385#401C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#392C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2314yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2314yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2314yes—
681#384C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2312yes—
706#381C2314yes—
707#381C2314yes—
708#381C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C4⋊Q8—24no—
843#126—28no—
844#126—216no—
845#126—48no—
846#126—48no—
847#126—48no—
848#125—24no—
849#125—28no—
850#125—44no—
851#125—42no—
852#125—44no—
853#125—44no—
854#125—44no—
855#125—44no—
856#124—28no—
857#123—216no—
858#123—28no—
859#123—48no—
860#123—48no—
861#123—44no—
862#123—48no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867#121—216no—
868#121—24no—
869#121—28no—
870#121—28no—
871#121—24no—
872#121—28no—
873#121—24no—
874#121—48no—
875#121#4118yes—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—216no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—48no—
900C4×D4—48no—
901C4×D4—48no—
902#117—28no—
903#117—24no—
904#117—44no—
905#117—48no—
906#117—48no—
907#117—42no—
908#117—44no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—48no—
914C2×C4⋊C4—48no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—24no—
1042C2×C42—24no—
1043C2×C42—44no—
1044C2×C42—44no—
1045C2×C42—44no—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2511yescharacteristic
1159C24C2511yescharacteristic
1160C24C2512yes—
1161C24C2512yes—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×D4—24no—
1166C2×D4—28no—
1167C2×D4—22no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4C2×#4114yes—
1187C2×D4C2×#4118yes—
1188C2×D4H(5,𝔽2)14yes—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—28no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4C2×#4114yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4C2×#4114yes—
1350C22⋊C4—28no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4C2×#4118yes—
1398C42—24no—
1399C42—28no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—42no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—42no—
1423C42—41no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—42no—
1430C42—44no—
1431C422−1+414yes—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23C22×#4112yes—
1458C23C22×#4114yes—
1459C23C2×H(5,𝔽2)14yes—
1460C23C2611yescharacteristic
1461Q8—48no—
1462D4—28no—
1463D4—28no—
1464D4—48no—
1465D4—48no—
1466D4—416no—
1467D4—44no—
1468D4—84no—
1469D4—84no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—28no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—48no—
1555C2×C4—48no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—82no—
1563C2×C4—82no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—88no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—164no—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×2−1+412yes—
1576C2×C4C2×2−1+412yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4#58512yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—22no—
1587C22—24no—
1588C22—24no—
1589C22—22no—
1590C22—41no—
1591C22—42no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—41no—
1598C22—42no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22C23×#4111yescharacteristic
1610C22C22×H(5,𝔽2)11yescharacteristic
1611C22C22×2−1+411yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C222−1+611yescharacteristic
1616C4—22no—
1617C4—22no—
1618C4—24no—
1619C4—22no—
1620C4—42no—
1621C4—41no—
1622C4—42no—
1623C4—44no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—44no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—41no—
1635C4—42no—
1636C4—44no—
1637C4—42no—
1638C4—41no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4#351514yes—
1646C4#355914yes—
1647C2—42no—
1648C2—44no—
1649C2—44no—
1650C2—81no—
1651C2C2×#355911yescharacteristic
1652C2C2×#351511yescharacteristic
1653C2#6278111yescharacteristic
1654C2#6293911yescharacteristic
1655C2#6295911yescharacteristic
1656C2#6298511yescharacteristic
1657C2#6301811yescharacteristic
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. #59467C2semidirect
2. #59289C2semidirect
3. #59213C2semidirect
4. #59213C2semidirect
5. #59062C2semidirect
6. #49314C2semidirect
7. #48955C2semidirect
8. #46116C2semidirect
9. #45617C2semidirect
10. #45191C2semidirect
11. #45135C2semidirect
12. #43241C2semidirect
13. #42728C2semidirect
14. #42501C2semidirect
15. #41144C2semidirect
16. #40195C2semidirect
17. #39856C2semidirect
18. #39606C2semidirect
19. #39021C2semidirect
20. #39008C2semidirect
21. #38930C2semidirect
22. #37936C2semidirect
23. #36449C2semidirect
24. #36290C2semidirect
25. #36290C2semidirect
26. #36210C2semidirect
27. #36116C2semidirect
28. #36114C2semidirect
29. #35202C2semidirect
30. #35181C2semidirect
31. #35026C2semidirect
32. #34932C2semidirect
33. #34917C2semidirect
34. #34461C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#594672
#592892
#592132
#590622
#493142
#489552
#461162
#456172
#451912
#451352
#432412
#427282
#425012
#411442
#401952
#398562
#396062
#390212
#390082
#389302
#379362
#364492
#362902
#362102
#361162
#361142
#352022
#351812
#350262
#349322
#349172
#344612
C4×#5532