Finite Group Databasebeta

← #7987065

Subgroups — #7987065

Order 512.

4757 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59697C212yesmaximal, complemented
2#59427C211yesmaximal, characteristic, complemented
3#59312C211yesmaximal, characteristic, complemented
4#59245C211yesmaximal, characteristic, complemented
5#59201C212yesmaximal, complemented
6#49499C214yesmaximal, complemented
7#48328C214yesmaximal, complemented
8#45846C214yesmaximal, complemented
9#45384C212yesmaximal, complemented
10#45157C212yesmaximal, complemented
11#45127C212yesmaximal, complemented
12#45080C212yesmaximal, complemented
13#42655C212yesmaximal, complemented
14#42634C212yesmaximal, complemented
15#42535C212yesmaximal
16#42501C212yesmaximal, complemented
17#39370C211yesmaximal, characteristic, complemented
18#38978C211yesmaximal, characteristic, complemented
19#38940C211yesmaximal, characteristic, complemented
20#38923C211yesmaximal, characteristic, complemented
21#38745C214yesmaximal, complemented
22#38236C212yesmaximal, complemented
23#37856C212yesmaximal, complemented
24#36481C211yesmaximal, characteristic, complemented
25#36250C212yesmaximal, complemented
26#36234C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36161C211yesmaximal, characteristic, complemented
29#35206C212yesmaximal, complemented
30#35151C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34481C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×#544C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2863C2212yescomplemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2855C2214yescomplemented
47#2855C2214yescomplemented
48#2851C2214yescomplemented
49#2848C2212yes—
50#2827C2214yes—
51#2827C2214yes—
52#2809C2214yescomplemented
53#2798C2214yescomplemented
54#2791C2214yescomplemented
55#2788C2214yes—
56#2783C2214yescomplemented
57#2783C2214yescomplemented
58#2779C2214yes—
59#2777C2214yescomplemented
60#2777C2214yescomplemented
61#2777C2214yescomplemented
62#2776C2214yescomplemented
63#2775C2214yescomplemented
64#2772C2214yescomplemented
65#2769C2214yescomplemented
66#2744C2214yes—
67#2744C2214yescomplemented
68#2741C2214yes—
69#2738C2214yes—
70#2737C2214yescomplemented
71#2736C2214yes—
72#2735C2214yes—
73#2735C2214yes—
74#2729C2214yescomplemented
75#2722C2214yescomplemented
76#2721C2214yescomplemented
77#2719C2214yescomplemented
78#2718C2214yescomplemented
79#2716C2214yescomplemented
80#2704C2214yescomplemented
81#2702C2214yes—
82#2697C2214yes—
83#2696C2214yes—
84#2695C2214yescomplemented
85#2653C2214yes—
86#2652C2214yescomplemented
87#2652C2214yescomplemented
88#2644C2212yes—
89#2640C2212yes—
90#2630C2214yes—
91#2629C2212yescomplemented
92#2626C2214yes—
93#2626C2214yes—
94#2625C2212yescomplemented
95#2611C2214yes—
96#2609C2214yes—
97#2606C2214yescomplemented
98#2596C2214yescomplemented
99#2592C2212yes—
100#2588C2214yescomplemented
101#2582C2211yescharacteristic, complemented
102#2577C2214yescomplemented
103#2573C2214yescomplemented
104#2572C2214yes—
105#2572C2214yescomplemented
106#2570C2212yescomplemented
107#2568C2212yescomplemented
108#2568C2212yescomplemented
109#2563C2212yescomplemented
110#2558C2214yescomplemented
111#2552C2212yescomplemented
112#2552C2211yescharacteristic, complemented
113#2551C2211yescharacteristic, complemented
114#2547C2212yes—
115#2547C2211yescharacteristic
116#2546C2211yescharacteristic, complemented
117#2546C2212yescomplemented
118#2545C2212yes—
119#2538C2212yes—
120#2538C2211yescharacteristic
121#2533C2212yescomplemented
122#2533C2214yescomplemented
123#2532C2214yescomplemented
124#2530C2214yescomplemented
125#2527C2212yescomplemented
126#2523C2212yes—
127#2523C2214yescomplemented
128#2523C2214yescomplemented
129#2522C2214yes—
130#2522C2214yescomplemented
131#2515C2214yes—
132#2515C2214yescomplemented
133#2515C2214yescomplemented
134#2514C2211yescharacteristic, complemented
135#2512C2212yes—
136#2511C2212yescomplemented
137#2511C2212yescomplemented
138#2509C2212yescomplemented
139#2509C2212yescomplemented
140#2509C2211yescharacteristic, complemented
141#2507C2212yescomplemented
142#2507C2212yescomplemented
143#2506C2212yescomplemented
144#2501C2212yes—
145#2499C2211yescharacteristic
146#2499C2212yescomplemented
147#2497C2212yes—
148#2497C2212yes—
149#2497C2212yescomplemented
150#2496C2211yescharacteristic, complemented
151#2495C2212yescomplemented
152#2495C2212yescomplemented
153#2495C2212yescomplemented
154#2495C2214yescomplemented
155#2492C2212yes—
156#2492C2212yescomplemented
157#2492C2211yescharacteristic, complemented
158#2489C2212yescomplemented
159#2489C2214yescomplemented
160#2487C2212yes—
161#2486C2212yescomplemented
162#2485C2212yes—
163#2485C2211yescharacteristic
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2480C2214yes—
167#2480C2212yes—
168#2480C2214yes—
169#2478C2214yescomplemented
170#2477C2214yescomplemented
171#2470C2214yescomplemented
172#2468C2212yes—
173#2466C2214yes—
174#2466C2212yes—
175#2466C2214yescomplemented
176#2457C2212yes—
177#2454C2211yescharacteristic
178#2453C2212yescomplemented
179#2452C2212yes—
180#2448C2212yes—
181#2447C2212yes—
182#2447C2211yescharacteristic
183#2442C2211yescharacteristic
184#2442C2212yescomplemented
185#2442C2212yescomplemented
186#2441C2214yes—
187#2441C2212yes—
188#2441C2212yes—
189#2441C2212yescomplemented
190#2441C2214yescomplemented
191#2441C2212yescomplemented
192#2439C2212yes—
193#2439C2214yes—
194#2439C2211yescharacteristic
195#2439C2212yescomplemented
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2214yescomplemented
199#2439C2214yescomplemented
200#2435C2212yes—
201#2435C2211yescharacteristic
202#2429C2212yes—
203#2429C2212yescomplemented
204#2427C2212yes—
205#2427C2211yescharacteristic
206#2426C2212yes—
207#2423C2212yes—
208#2423C2212yes—
209#2423C2212yescomplemented
210#2420C2211yescharacteristic
211#2418C2214yes—
212#2418C2212yes—
213#2417C2212yes—
214#2417C2211yescharacteristic
215#2417C2212yescomplemented
216#2415C2212yes—
217#2415C2211yescharacteristic
218#2413C2214yescomplemented
219#2408C2211yescharacteristic
220#2401C2212yes—
221#2398C2212yes—
222#2395C2212yes—
223#2392C2212yes—
224#2383C2214yescomplemented
225#2383C2214yescomplemented
226#2374C2214yescomplemented
227#2370C2212yescomplemented
228#2369C2212yescomplemented
229#2367C2212yes—
230#2367C2212yes—
231#2365C2211yescharacteristic, complemented
232#2362C2212yes—
233#2361C2212yes—
234#2360C2212yes—
235#2360C2212yescomplemented
236#2360C2212yescomplemented
237#2360C2212yescomplemented
238#2356C2212yescomplemented
239#2355C2211yescharacteristic, complemented
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2211yescharacteristic, complemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yescomplemented
253#2347C2212yes—
254#2347C2212yescomplemented
255#2346C2212yescomplemented
256#2345C2212yescomplemented
257#2344C2212yes—
258#2344C2212yescomplemented
259#2342C2214yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2330C2212yescomplemented
263#2326C2212yes—
264#2326C2212yes—
265#2323C2212yescomplemented
266#2322C2214yescomplemented
267#2320C2212yescomplemented
268#2320C2212yescomplemented
269#2320C2212yescomplemented
270#2317C2212yescomplemented
271#2317C2212yescomplemented
272#2316C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2212yescomplemented
277C4×#126C2212yescomplemented
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic
283C4×#120C2212yes—
284#2295C2211yescharacteristic, complemented
285#2295C2212yescomplemented
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2290C2214yes—
289#2290C2214yescomplemented
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic, complemented
292#2283C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2212yes—
295#2280C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#552—48no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310#529—28no—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#120C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4—28no—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117—48no—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2314yes—
387#401C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#395C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#393C2314yes—
487#393C2312yes—
488#392C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#389C2312yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
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#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2314yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2311yescharacteristic
749#379C2314yes—
750#379C2314yes—
751#379C2312yes—
752#379C2312yes—
753#379C2314yes—
754#379C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854#126—28no—
855#126—216no—
856#126—44no—
857#126—48no—
858#125—24no—
859#125—28no—
860#125—44no—
861#125—48no—
862#125—48no—
863#124—24no—
864#124—28no—
865#124—42no—
866#124—44no—
867#123—28no—
868#123—48no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880#121—24no—
881#121—42no—
882#120—44no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4—42no—
904C4×D4#4118yes—
905#117—28no—
906#117—28no—
907#117—24no—
908#117—24no—
909#117—28no—
910#117—44no—
911#117—48no—
912#117—48no—
913#117—48no—
914#117—44no—
915#117—44no—
916#117—44no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4—28no—
997C2×C22⋊C4—48no—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—48no—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24—42no—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C24C2511yescharacteristic
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—416no—
1209C2×D4C2×#4114yes—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—28no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—432no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—41no—
1250C22×C4—44no—
1251C22×C4C2×#4118yes—
1252C22×C42−1+414yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4C2×#4114yes—
1356C4⋊C4H(5,𝔽2)14yes—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—41no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4C2×#4118yes—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—28no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—44no—
1431C42—44no—
1432C42—41no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—41no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42C2×#4114yes—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—48no—
1469C23—48no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23C22×#4114yes—
1476C23C2×2−1+412yes—
1477C23#58512yes—
1478C23C2611yescharacteristic
1479Q8—44no—
1480Q8—48no—
1481Q8—44no—
1482Q8—84no—
1483Q8—164no—
1484D4—28no—
1485D4—48no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—84no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—28no—
1499C2×C4—216no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—48no—
1583C2×C4—82no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C2×H(5,𝔽2)14yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C22—22no—
1598C22—24no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—24no—
1604C22—24no—
1605C22—22no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—816no—
1626C22C23×#4111yescharacteristic
1627C22C22×H(5,𝔽2)11yescharacteristic
1628C22C22×2−1+411yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C222−1+611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—24no—
1636C4—24no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—44no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—44no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4#349314yes—
1663C4#352014yes—
1664C2—42no—
1665C2—44no—
1666C2—42no—
1667C2—82no—
1668C2#6275211yescharacteristic
1669C2C2×#352011yescharacteristic
1670C2C2×#349311yescharacteristic
1671C2#6292111yescharacteristic
1672C2#6295911yescharacteristic
1673C2#6299311yescharacteristic
1674C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59697C2semidirect
2. #59427C2semidirect
3. #59312C2semidirect
4. #59245C2semidirect
5. #59201C2semidirect
6. #49499C2semidirect
7. #48328C2semidirect
8. #45846C2semidirect
9. #45384C2semidirect
10. #45157C2semidirect
11. #45127C2semidirect
12. #45080C2semidirect
13. #42655C2semidirect
14. #42634C2semidirect
16. #42501C2semidirect
17. #39370C2semidirect
18. #38978C2semidirect
19. #38940C2semidirect
20. #38923C2semidirect
21. #38745C2semidirect
22. #38236C2semidirect
23. #37856C2semidirect
24. #36481C2semidirect
25. #36250C2semidirect
26. #36234C2semidirect
27. #36189C2semidirect
28. #36161C2semidirect
29. #35206C2semidirect
30. #35151C2semidirect
31. #34803C2semidirect
33. #34481C2semidirect
34. #34384C2semidirect
35. D4×#117C2semidirect
37. C2×#552C22semidirect
38. C2×#544C22semidirect
42. #2863C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2855C22semidirect
48. #2851C22semidirect
52. #2809C22semidirect
53. #2798C22semidirect
54. #2791C22semidirect
56. #2783C22semidirect
57. #2783C22semidirect
59. #2777C22semidirect
60. #2777C22semidirect
61. #2777C22semidirect
62. #2776C22semidirect
63. #2775C22semidirect
64. #2772C22semidirect
65. #2769C22semidirect
67. #2744C22semidirect
70. #2737C22semidirect
74. #2729C22semidirect
75. #2722C22semidirect
76. #2721C22semidirect
77. #2719C22semidirect
78. #2718C22semidirect
79. #2716C22semidirect
80. #2704C22semidirect
84. #2695C22semidirect
86. #2652C22semidirect
87. #2652C22semidirect
91. #2629C22semidirect
94. #2625C22semidirect
97. #2606C22semidirect
98. #2596C22semidirect
100. #2588C22semidirect
101. #2582C22semidirect
102. #2577C22semidirect
103. #2573C22semidirect
105. #2572C22semidirect
106. #2570C22semidirect
107. #2568C22semidirect
108. #2568C22semidirect
109. #2563C22semidirect
110. #2558C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2551C22semidirect
116. #2546C22semidirect
117. #2546C22semidirect
121. #2533C22semidirect
122. #2533C22semidirect
123. #2532C22semidirect
124. #2530C22semidirect
125. #2527C22semidirect
127. #2523C22semidirect
128. #2523C22semidirect
130. #2522C22semidirect
132. #2515C22semidirect
133. #2515C22semidirect
134. #2514C22semidirect
136. #2511C22semidirect
137. #2511C22semidirect
138. #2509C22semidirect
139. #2509C22semidirect
140. #2509C22semidirect
141. #2507C22semidirect
142. #2507C22semidirect
143. #2506C22semidirect
146. #2499C22semidirect
149. #2497C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
161. #2486C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
169. #2478C22semidirect
170. #2477C22semidirect
171. #2470C22semidirect
175. #2466C22semidirect
178. #2453C22semidirect
184. #2442C22semidirect
185. #2442C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
195. #2439C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
203. #2429C22semidirect
209. #2423C22semidirect
215. #2417C22semidirect
218. #2413C22semidirect
224. #2383C22semidirect
225. #2383C22semidirect
226. #2374C22semidirect
227. #2370C22semidirect
228. #2369C22semidirect
231. #2365C22semidirect
235. #2360C22semidirect
236. #2360C22semidirect
237. #2360C22semidirect
238. #2356C22semidirect
239. #2355C22semidirect
246. #2352C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
254. #2347C22semidirect
255. #2346C22semidirect
256. #2345C22semidirect
258. #2344C22semidirect
261. #2334C22semidirect
262. #2330C22semidirect
265. #2323C22semidirect
266. #2322C22semidirect
267. #2320C22semidirect
268. #2320C22semidirect
269. #2320C22semidirect
270. #2317C22semidirect
271. #2317C22semidirect
272. #2316C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#126C22semidirect
281. C4×C22⋊Q8C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect
289. #2290C22semidirect
291. C2×#384C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#596972
#594272
#593122
#592452
#592012
#494992
#483282
#458462
#453842
#451572
#451272
#450802
#426552
#426342
#425352
#425012
#393702
#389782
#389402
#389232
#387452
#382362
#378562
#364812
#362502
#362342
#361892
#361612
#352062
#351512
#348032
#347002
#344812
#343842
D4×#1172