Finite Group Databasebeta

← #7732091

Subgroups — #7732091

Order 512.

4682 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48903C214yesmaximal, complemented
2#48034C214yesmaximal, complemented
3#47756C214yesmaximal, complemented
4#47751C214yesmaximal, complemented
5#45159C212yesmaximal, complemented
6#45158C212yesmaximal, complemented
7#45098C212yesmaximal, complemented
8#44907C212yesmaximal, complemented
9#39816C212yesmaximal, complemented
10#39761C211yesmaximal, characteristic, complemented
11#39505C211yesmaximal, characteristic, complemented
12#39294C212yesmaximal, complemented
13#39194C211yesmaximal, characteristic, complemented
14#38977C211yesmaximal, characteristic, complemented
15#38285C212yesmaximal, complemented
16#37983C212yesmaximal, complemented
17#37960C212yesmaximal, complemented
18#37953C212yesmaximal, complemented
19#37879C212yesmaximal, complemented
20#37870C212yesmaximal, complemented
21#37620C211yesmaximal, characteristic, complemented
22#37343C212yesmaximal, complemented
23#37338C212yesmaximal, complemented
24#36594C211yesmaximal, characteristic, complemented
25#36468C211yesmaximal, characteristic, complemented
26#36285C211yesmaximal, characteristic, complemented
27#36194C211yesmaximal, characteristic, complemented
28#35596C212yesmaximal, complemented
29#35589C212yesmaximal, complemented
30#35275C211yesmaximal, characteristic, complemented
31#35189C211yesmaximal, characteristic, complemented
32#34910C211yesmaximal, characteristic, complemented
33#34383C211yesmaximal, characteristic, complemented
34#34188C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#553C2212yes—
38C2×#544C2212yes—
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2868C2211yescharacteristic
43#2868C2211yescharacteristic
44#2863C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2858C2212yes—
48#2857C2212yes—
49#2854C2212yes—
50#2851C2212yes—
51#2850C2212yes—
52#2823C2214yes—
53#2803C2214yes—
54#2801C2214yes—
55#2800C2214yes—
56#2795C2214yes—
57#2793C2214yes—
58#2789C2214yes—
59#2788C2214yes—
60#2787C2214yes—
61#2784C2214yes—
62#2784C2214yes—
63#2783C2214yes—
64#2781C2214yes—
65#2780C2214yes—
66#2779C2214yes—
67#2779C2214yes—
68#2778C2214yes—
69#2776C2214yes—
70#2775C2214yes—
71#2772C2214yes—
72#2768C2214yes—
73#2765C2214yes—
74#2756C2214yes—
75#2749C2214yes—
76#2739C2214yes—
77#2731C2214yes—
78#2731C2214yes—
79#2730C2214yes—
80#2725C2214yes—
81#2716C2214yes—
82#2716C2214yes—
83#2715C2214yes—
84#2714C2214yes—
85#2707C2214yes—
86#2702C2214yes—
87#2696C2214yes—
88#2695C2214yes—
89#2695C2214yes—
90#2686C2214yes—
91#2686C2214yes—
92#2676C2214yes—
93#2660C2212yes—
94#2660C2212yes—
95#2645C2212yes—
96#2640C2212yes—
97#2630C2214yes—
98#2629C2212yes—
99#2629C2212yes—
100#2624C2212yes—
101#2620C2212yes—
102#2620C2212yes—
103#2620C2212yes—
104#2618C2214yes—
105#2610C2214yes—
106#2609C2214yes—
107#2608C2214yes—
108#2606C2214yes—
109#2602C2212yes—
110#2602C2214yes—
111#2602C2212yes—
112#2601C2212yes—
113#2601C2212yes—
114#2601C2214yes—
115#2601C2214yes—
116#2597C2214yes—
117#2594C2214yes—
118#2594C2214yes—
119#2590C2214yes—
120#2588C2214yes—
121#2588C2214yes—
122#2587C2214yes—
123#2585C2214yes—
124#2582C2211yescharacteristic
125#2582C2211yescharacteristic
126#2576C2214yes—
127#2574C2214yes—
128#2571C2212yes—
129#2570C2212yes—
130#2566C2211yescharacteristic
131#2565C2212yes—
132#2565C2211yescharacteristic
133#2563C2212yes—
134#2562C2212yes—
135#2560C2214yes—
136#2560C2214yes—
137#2559C2214yes—
138#2552C2212yes—
139#2552C2212yes—
140#2551C2212yes—
141#2551C2212yes—
142#2547C2212yes—
143#2545C2211yescharacteristic
144#2545C2214yes—
145#2544C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2537C2211yescharacteristic
152#2537C2211yescharacteristic
153#2535C2212yes—
154#2530C2214yes—
155#2529C2214yes—
156#2526C2214yes—
157#2519C2214yes—
158#2512C2212yes—
159#2512C2214yes—
160#2512C2212yes—
161#2512C2212yes—
162#2511C2212yes—
163#2508C2212yes—
164#2507C2212yes—
165#2503C2212yes—
166#2500C2211yescharacteristic
167#2500C2212yes—
168#2500C2212yes—
169#2499C2211yescharacteristic
170#2499C2212yes—
171#2497C2214yes—
172#2497C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2494C2212yes—
176#2494C2212yes—
177#2494C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2492C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2491C2214yes—
185#2490C2212yes—
186#2489C2212yes—
187#2485C2212yes—
188#2478C2214yes—
189#2476C2214yes—
190#2474C2214yes—
191#2474C2214yes—
192#2469C2214yes—
193#2469C2214yes—
194#2468C2214yes—
195#2468C2214yes—
196#2460C2214yes—
197#2447C2212yes—
198#2446C2214yes—
199#2446C2212yes—
200#2442C2212yes—
201#2441C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2439C2214yes—
209#2432C2211yescharacteristic
210#2431C2211yescharacteristic
211#2428C2212yes—
212#2427C2214yes—
213#2426C2212yes—
214#2421C2214yes—
215#2417C2212yes—
216#2417C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2407C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2376C2214yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2367C2212yes—
229#2356C2212yes—
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2354C2212yes—
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2354C2212yes—
241#2352C2214yes—
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248#2335C2212yes—
249#2335C2212yes—
250#2334C2212yes—
251#2334C2212yes—
252#2334C2214yes—
253#2331C2212yes—
254#2330C2211yescharacteristic
255#2330C2211yescharacteristic
256#2326C2211yescharacteristic
257#2326C2211yescharacteristic
258#2324C2212yes—
259#2324C2211yescharacteristic
260#2324C2211yescharacteristic
261#2324C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2211yescharacteristic
265#2323C2211yescharacteristic
266#2323C2212yes—
267#2319C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272#2314C2214yes—
273#2311C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×#121C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2212yes—
283#2295C2211yescharacteristic
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2290C2212yes—
289#2285C2212yes—
290#2285C2211yescharacteristic
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2285C2212yes—
294C2×#384C2211yescharacteristic
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#556—48no—
301#553—48no—
302#544—48no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312#529—28no—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C4×#41—28no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#392C2314yes—
488#392C2312yes—
489#392C2312yes—
490#392C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#390C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#383C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2314yes—
729#382C2314yes—
730#381C2314yes—
731#381C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C4⋊Q8—28no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—42no—
851C4⋊Q8—48no—
852C4⋊Q8—82no—
853C4⋊Q8—82no—
854#127—42no—
855#126—28no—
856#126—28no—
857#126—48no—
858#126—48no—
859#126—48no—
860#126—84no—
861#125—24no—
862#125—24no—
863#125—28no—
864#125—44no—
865#125—48no—
866#124—24no—
867#124—24no—
868#124—42no—
869#124—42no—
870#124—48no—
871#124—84no—
872#124—84no—
873#123—28no—
874#123—28no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—24no—
885#121—24no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—84no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—44no—
899C4×Q8—48no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—44no—
913C4×D4—48no—
914#117—24no—
915#117—28no—
916#117—28no—
917#117—28no—
918#117—24no—
919#117—24no—
920#117—44no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—84no—
927#117—84no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—82no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C42—28no—
1064C2×C42—44no—
1065C2×C42#4118yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2512yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—28no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4C2×#4114yes—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
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—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C22⋊C4—24no—
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—24no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—42no—
1435C42—42no—
1436C42—41no—
1437C42—42no—
1438C42—41no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—41no—
1449C42—41no—
1450C42C2×#4114yes—
1451C42C2×#4114yes—
1452C42C2×#4114yes—
1453C42C2×#4114yes—
1454C42H(5,𝔽2)14yes—
1455C422−1+414yes—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23C22×#4112yes—
1484C23C2611yescharacteristic
1485Q8—44no—
1486Q8—44no—
1487Q8—44no—
1488Q8—88no—
1489Q8—164no—
1490D4—48no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—88no—
1499D4—164no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—44no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—84no—
1589C2×C4—164no—
1590C2×C4—164no—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22C23×#4111yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×2−1+411yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22H(7,𝔽2)11yescharacteristic
1639C222−1+611yescharacteristic
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—44no—
1664C4—44no—
1665C4—44no—
1666C4—44no—
1667C4—41no—
1668C4—41no—
1669C4#349314yes—
1670C4#351114yes—
1671C2—42no—
1672C2—82no—
1673C2—82no—
1674C2—82no—
1675C2C2×#349311yescharacteristic
1676C2C2×#351111yescharacteristic
1677C2#6285611yescharacteristic
1678C2#6292611yescharacteristic
1679C2#6293111yescharacteristic
1680C2#6295511yescharacteristic
1681C2#6295911yescharacteristic
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. #48903C2semidirect
2. #48034C2semidirect
3. #47756C2semidirect
4. #47751C2semidirect
5. #45159C2semidirect
6. #45158C2semidirect
7. #45098C2semidirect
8. #44907C2semidirect
9. #39816C2semidirect
10. #39761C2semidirect
11. #39505C2semidirect
12. #39294C2semidirect
13. #39194C2semidirect
14. #38977C2semidirect
15. #38285C2semidirect
16. #37983C2semidirect
17. #37960C2semidirect
18. #37953C2semidirect
19. #37879C2semidirect
20. #37870C2semidirect
21. #37620C2semidirect
22. #37343C2semidirect
23. #37338C2semidirect
24. #36594C2semidirect
25. #36468C2semidirect
26. #36285C2semidirect
27. #36194C2semidirect
28. #35596C2semidirect
29. #35589C2semidirect
30. #35275C2semidirect
31. #35189C2semidirect
32. #34910C2semidirect
33. #34383C2semidirect
34. #34188C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#489032
#480342
#477562
#477512
#451592
#451582
#450982
#449072
#398162
#397612
#395052
#392942
#391942
#389772
#382852
#379832
#379602
#379532
#378792
#378702
#376202
#373432
#373382
#365942
#364682
#362852
#361942
#355962
#355892
#352752
#351892
#349102
#343832
#341882
#340842