Finite Group Databasebeta

← #7653560

Subgroups — #7653560

Order 512.

4730 conjugacy classes of subgroups.

The subgroup lattice has 1653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42453C212yesmaximal, complemented
2#42451C212yesmaximal, complemented
3#41102C214yesmaximal, complemented
4#41076C214yesmaximal, complemented
5#40279C214yesmaximal, complemented
6#39927C212yesmaximal, complemented
7#39903C212yesmaximal, complemented
8#39690C212yesmaximal, complemented
9#39633C211yesmaximal, characteristic, complemented
10#39379C211yesmaximal, characteristic, complemented
11#39286C212yesmaximal, complemented
12#39193C211yesmaximal, characteristic, complemented
13#38976C211yesmaximal, characteristic, complemented
14#38678C214yesmaximal, complemented
15#38277C212yesmaximal, complemented
16#37793C212yesmaximal, complemented
17#37622C211yesmaximal, characteristic, complemented
18#37510C212yesmaximal, complemented
19#36555C211yesmaximal, characteristic, complemented
20#36519C212yesmaximal, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36285C211yesmaximal, characteristic, complemented
23#36255C212yesmaximal, complemented
24#36134C211yesmaximal, characteristic, complemented
25#35726C212yesmaximal, complemented
26#35725C212yesmaximal, complemented
27#35294C211yesmaximal, characteristic, complemented
28#35205C212yesmaximal, complemented
29#35189C211yesmaximal, characteristic
30#35039C212yesmaximal, complemented
31#34979C211yesmaximal, characteristic, complemented
32#34720C212yesmaximal, complemented
33#34213C211yesmaximal, characteristic, complemented
34#34153C211yesmaximal, characteristic, complemented
35C4⋊C4×#41C211yesmaximal, characteristic, complemented
36C2×#541C2212yes—
37C2×#533C2211yescharacteristic
38C2×#533C2212yes—
39C2×#529C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2864C2212yes—
44#2863C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2857C2212yes—
49#2855C2212yes—
50#2852C2214yes—
51#2851C2214yes—
52#2851C2212yes—
53#2850C2212yes—
54#2834C2214yes—
55#2827C2214yes—
56#2814C2214yes—
57#2807C2214yes—
58#2796C2214yes—
59#2790C2214yes—
60#2787C2214yes—
61#2779C2214yes—
62#2776C2214yes—
63#2773C2214yes—
64#2766C2214yes—
65#2762C2214yes—
66#2757C2214yes—
67#2754C2214yes—
68#2747C2214yes—
69#2741C2214yes—
70#2732C2214yes—
71#2729C2214yes—
72#2726C2214yes—
73#2725C2214yes—
74#2725C2214yes—
75#2719C2214yes—
76#2719C2214yes—
77#2704C2214yes—
78#2698C2214yes—
79#2692C2214yes—
80#2689C2214yes—
81#2664C2214yes—
82#2655C2214yes—
83#2654C2214yes—
84#2652C2214yes—
85#2652C2214yes—
86#2649C2214yes—
87#2647C2212yes—
88#2645C2212yes—
89#2638C2214yes—
90#2636C2214yes—
91#2633C2214yes—
92#2630C2214yes—
93#2629C2212yes—
94#2629C2212yes—
95#2628C2212yes—
96#2628C2212yes—
97#2625C2212yes—
98#2625C2212yes—
99#2624C2212yes—
100#2621C2212yes—
101#2611C2212yes—
102#2611C2212yes—
103#2606C2214yes—
104#2601C2214yes—
105#2597C2214yes—
106#2596C2214yes—
107#2594C2214yes—
108#2592C2212yes—
109#2590C2214yes—
110#2590C2214yes—
111#2589C2214yes—
112#2588C2214yes—
113#2587C2214yes—
114#2584C2212yes—
115#2582C2211yescharacteristic
116#2582C2211yescharacteristic
117#2582C2211yescharacteristic
118#2577C2214yes—
119#2577C2214yes—
120#2576C2214yes—
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2569C2214yes—
125#2568C2211yescharacteristic
126#2565C2212yes—
127#2552C2212yes—
128#2550C2212yes—
129#2550C2212yes—
130#2549C2214yes—
131#2547C2211yescharacteristic
132#2546C2211yescharacteristic
133#2542C2211yescharacteristic
134#2542C2212yes—
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2538C2211yescharacteristic
139#2537C2211yescharacteristic
140#2533C2214yes—
141#2532C2214yes—
142#2523C2214yes—
143#2522C2214yes—
144#2520C2214yes—
145#2514C2212yes—
146#2512C2212yes—
147#2512C2212yes—
148#2511C2212yes—
149#2510C2214yes—
150#2508C2212yes—
151#2507C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2504C2212yes—
157#2502C2212yes—
158#2499C2211yescharacteristic
159#2499C2211yescharacteristic
160#2497C2212yes—
161#2497C2212yes—
162#2495C2212yes—
163#2495C2212yes—
164#2494C2212yes—
165#2494C2212yes—
166#2492C2212yes—
167#2490C2212yes—
168#2485C2212yes—
169#2479C2214yes—
170#2478C2214yes—
171#2478C2214yes—
172#2477C2214yes—
173#2475C2214yes—
174#2475C2214yes—
175#2467C2214yes—
176#2463C2214yes—
177#2462C2214yes—
178#2460C2214yes—
179#2460C2214yes—
180#2460C2214yes—
181#2460C2214yes—
182#2454C2214yes—
183#2454C2212yes—
184#2453C2214yes—
185#2453C2212yes—
186#2452C2212yes—
187#2451C2212yes—
188#2450C2214yes—
189#2446C2212yes—
190#2446C2212yes—
191#2442C2212yes—
192#2441C2214yes—
193#2441C2212yes—
194#2441C2212yes—
195#2440C2212yes—
196#2439C2212yes—
197#2439C2212yes—
198#2432C2211yescharacteristic
199#2432C2211yescharacteristic
200#2429C2214yes—
201#2427C2212yes—
202#2427C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2423C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2420C2212yes—
209#2415C2212yes—
210#2415C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2414C2212yes—
215#2407C2212yes—
216#2398C2214yes—
217#2395C2212yes—
218#2395C2212yes—
219#2392C2214yes—
220#2373C2212yes—
221#2373C2212yes—
222#2370C2214yes—
223#2370C2211yescharacteristic
224#2370C2211yescharacteristic
225#2370C2212yes—
226#2369C2212yes—
227#2367C2211yescharacteristic
228#2367C2211yescharacteristic
229#2365C2212yes—
230#2365C2212yes—
231#2361C2212yes—
232#2361C2211yescharacteristic
233#2361C2211yescharacteristic
234#2360C2211yescharacteristic
235#2360C2211yescharacteristic
236#2360C2212yes—
237#2359C2212yes—
238#2359C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2212yes—
244#2354C2212yes—
245#2351C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251#2349C2214yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256#2345C2212yes—
257#2345C2212yes—
258#2336C2214yes—
259#2332C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2329C2214yes—
263#2326C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2320C2212yes—
268#2317C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×C22⋊Q8C2214yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×#121C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2296C2214yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2290C2214yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2212yes—
291#2285C2211yescharacteristic
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300#541—48no—
301#533—28no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#123C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C4×#41—28no—
344C4×#41—48no—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2314yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2314yes—
390C22×C42C2312yes—
391C22×C42C2312yes—
392C22×C42C2311yescharacteristic
393#401C2314yes—
394#401C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#399C2314yes—
419#398C2314yes—
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#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#388C2312yes—
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#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2314yes—
722#381C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850#126—28no—
851#126—48no—
852#126—48no—
853#125—24no—
854#125—28no—
855#125—44no—
856#125—44no—
857#125—48no—
858#125—44no—
859#125—48no—
860#125—48no—
861#125—48no—
862#124—24no—
863#124—24no—
864#124—24no—
865#123—28no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879#121—28no—
880#121—24no—
881#121—44no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—48no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—48no—
906C4×D4—48no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910#117—24no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—44no—
915#117—42no—
916#117—42no—
917#117—48no—
918#117—44no—
919#117—44no—
920#117—48no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C42—28no—
1049C2×C42—44no—
1050C2×C42—48no—
1051C2×C42—44no—
1052C2×C42#4118yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171C24C2512yes—
1172#41—232no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—28no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8H(5,𝔽2)14yes—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D42−1+414yes—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—28no—
1224C22×C4—24no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4C2×#4114yes—
1243C22×C4C2×#4114yes—
1244C22×C4C2×#4114yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
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—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C42−1+414yes—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
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—22no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—28no—
1409C42—24no—
1410C42—28no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—42no—
1422C42—42no—
1423C42—44no—
1424C42—42no—
1425C42—42no—
1426C42—41no—
1427C42—41no—
1428C42—44no—
1429C42—44no—
1430C42—42no—
1431C42—44no—
1432C42—42no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42C2×#4114yes—
1437C42C2×#4114yes—
1438C42C2×#4114yes—
1439C42C2×#4114yes—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23C22×#4112yes—
1460C23C2×2−1+414yes—
1461C23C2611yescharacteristic
1462Q8—28no—
1463Q8—44no—
1464Q8—44no—
1465Q8—44no—
1466Q8—88no—
1467Q8—84no—
1468D4—216no—
1469D4—28no—
1470D4—48no—
1471D4—44no—
1472D4—88no—
1473C2×C4—216no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—28no—
1491C2×C4—28no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—44no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—84no—
1563C2×C4—88no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—88no—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C2×H(5,𝔽2)14yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×2−1+414yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C22—22no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—42no—
1590C22—42no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22C23×#4111yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C4—22no—
1611C4—24no—
1612C4—22no—
1613C4—22no—
1614C4—24no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—41no—
1619C4—42no—
1620C4—44no—
1621C4—41no—
1622C4—42no—
1623C4—42no—
1624C4—44no—
1625C4—44no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—44no—
1632C4—41no—
1633C4—41no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4#346114yes—
1641C4#349214yes—
1642C2—42no—
1643C2—44no—
1644C2—82no—
1645C2C2×#346111yescharacteristic
1646C2C2×#349211yescharacteristic
1647C2#6281511yescharacteristic
1648C2#6301511yescharacteristic
1649C2#6301911yescharacteristic
1650C2#6302511yescharacteristic
1651C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35189C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42453C2semidirect
2. #42451C2semidirect
3. #41102C2semidirect
4. #41076C2semidirect
5. #40279C2semidirect
6. #39927C2semidirect
7. #39903C2semidirect
8. #39690C2semidirect
9. #39633C2semidirect
10. #39379C2semidirect
11. #39286C2semidirect
12. #39193C2semidirect
13. #38976C2semidirect
14. #38678C2semidirect
15. #38277C2semidirect
16. #37793C2semidirect
17. #37622C2semidirect
18. #37510C2semidirect
19. #36555C2semidirect
20. #36519C2semidirect
21. #36453C2semidirect
22. #36285C2semidirect
23. #36255C2semidirect
24. #36134C2semidirect
25. #35726C2semidirect
26. #35725C2semidirect
27. #35294C2semidirect
28. #35205C2semidirect
30. #35039C2semidirect
31. #34979C2semidirect
32. #34720C2semidirect
33. #34213C2semidirect
34. #34153C2semidirect
35. C4⋊C4×#41C2semidirect

Maximal subgroups

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

subgroupindex
#424532
#424512
#411022
#410762
#402792
#399272
#399032
#396902
#396332
#393792
#392862
#391932
#389762
#386782
#382772
#377932
#376222
#375102
#365552
#365192
#364532
#362852
#362552
#361342
#357262
#357252
#352942
#352052
#351892
#350392
#349792
#347202
#342132
#341532
C4⋊C4×#412