Finite Group Databasebeta

← #7710637

Subgroups — #7710637

Order 512.

4730 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59667C211yesmaximal, characteristic, complemented
2#59665C211yesmaximal, characteristic, complemented
3#59444C211yesmaximal, characteristic, complemented
4#59442C211yesmaximal, characteristic, complemented
5#59260C212yesmaximal, complemented
6#59247C212yesmaximal, complemented
7#45897C214yesmaximal, complemented
8#45656C212yesmaximal, complemented
9#45631C212yesmaximal, complemented
10#40423C214yesmaximal, complemented
11#40001C212yesmaximal, complemented
12#39955C212yesmaximal, complemented
13#39927C212yesmaximal, complemented
14#39877C212yesmaximal
15#39176C212yesmaximal, complemented
16#39158C211yesmaximal, characteristic, complemented
17#39156C211yesmaximal, characteristic, complemented
18#38969C212yesmaximal, complemented
19#38932C211yesmaximal, characteristic, complemented
20#38930C211yesmaximal, characteristic, complemented
21#38748C214yesmaximal, complemented
22#37571C212yesmaximal, complemented
23#36813C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36505C212yesmaximal, complemented
27#36476C211yesmaximal, characteristic, complemented
28#36476C211yesmaximal, characteristic, complemented
29#36416C211yesmaximal, characteristic, complemented
30#36375C212yesmaximal, complemented
31#36261C211yesmaximal, characteristic, complemented
32#35039C212yesmaximal, complemented
33#35026C212yesmaximal, complemented
34#34489C212yesmaximal, complemented
35C4×#532C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2212yes—
38C2×#552C2212yes—
39C2×#532C2211yescharacteristic
40C2×C4×#41C2212yes—
41#2864C2212yes—
42#2864C2211yescharacteristic
43#2864C2211yescharacteristic
44#2863C2212yes—
45#2863C2212yes—
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2862C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2855C2212yes—
60#2855C2212yes—
61#2855C2212yes—
62#2855C2212yes—
63#2851C2211yescharacteristic
64#2851C2211yescharacteristic
65#2851C2212yes—
66#2851C2212yes—
67#2836C2214yes—
68#2831C2214yes—
69#2806C2214yes—
70#2802C2214yes—
71#2799C2214yes—
72#2799C2214yes—
73#2777C2214yes—
74#2764C2214yes—
75#2762C2214yes—
76#2759C2214yes—
77#2751C2214yes—
78#2751C2214yes—
79#2751C2214yes—
80#2747C2214yes—
81#2743C2214yes—
82#2743C2214yes—
83#2740C2214yes—
84#2740C2214yes—
85#2738C2214yes—
86#2719C2214yes—
87#2713C2214yes—
88#2713C2214yes—
89#2704C2214yes—
90#2700C2214yes—
91#2700C2214yes—
92#2700C2214yes—
93#2694C2214yes—
94#2694C2214yes—
95#2694C2214yes—
96#2687C2214yes—
97#2687C2214yes—
98#2681C2214yes—
99#2674C2214yes—
100#2672C2214yes—
101#2664C2214yes—
102#2655C2214yes—
103#2652C2214yes—
104#2652C2214yes—
105#2650C2214yes—
106#2647C2212yes—
107#2647C2212yes—
108#2644C2212yes—
109#2644C2212yes—
110#2638C2214yes—
111#2611C2214yes—
112#2607C2214yes—
113#2607C2214yes—
114#2604C2214yes—
115#2589C2214yes—
116#2589C2214yes—
117#2589C2214yes—
118#2588C2214yes—
119#2587C2214yes—
120#2585C2214yes—
121#2584C2212yes—
122#2584C2212yes—
123#2583C2214yes—
124#2581C2212yes—
125#2580C2212yes—
126#2580C2212yes—
127#2580C2212yes—
128#2577C2214yes—
129#2573C2214yes—
130#2571C2211yescharacteristic
131#2570C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2566C2212yes—
135#2563C2211yescharacteristic
136#2563C2211yescharacteristic
137#2562C2212yes—
138#2562C2212yes—
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2551C2212yes—
143#2551C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2549C2214yes—
147#2547C2212yes—
148#2542C2211yescharacteristic
149#2542C2211yescharacteristic
150#2538C2212yes—
151#2536C2212yes—
152#2536C2212yes—
153#2532C2214yes—
154#2527C2214yes—
155#2523C2214yes—
156#2513C2212yes—
157#2512C2212yes—
158#2509C2212yes—
159#2509C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2503C2212yes—
165#2499C2212yes—
166#2497C2212yes—
167#2497C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2494C2212yes—
172#2493C2214yes—
173#2492C2212yes—
174#2492C2212yes—
175#2491C2212yes—
176#2490C2212yes—
177#2486C2212yes—
178#2486C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2479C2214yes—
182#2478C2214yes—
183#2475C2214yes—
184#2475C2214yes—
185#2475C2214yes—
186#2466C2214yes—
187#2462C2214yes—
188#2462C2214yes—
189#2460C2214yes—
190#2460C2214yes—
191#2460C2214yes—
192#2458C2214yes—
193#2453C2214yes—
194#2453C2212yes—
195#2451C2212yes—
196#2446C2214yes—
197#2445C2212yes—
198#2445C2212yes—
199#2442C2212yes—
200#2441C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2432C2214yes—
206#2423C2212yes—
207#2423C2212yes—
208#2422C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2419C2214yes—
213#2419C2214yes—
214#2417C2212yes—
215#2417C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2406C2214yes—
219#2378C2214yes—
220#2378C2214yes—
221#2370C2212yes—
222#2370C2212yes—
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2367C2214yes—
226#2365C2211yescharacteristic
227#2365C2212yes—
228#2365C2211yescharacteristic
229#2362C2214yes—
230#2359C2214yes—
231#2357C2212yes—
232#2357C2212yes—
233#2357C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2212yes—
241#2352C2212yes—
242#2349C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245#2344C2214yes—
246#2336C2214yes—
247#2332C2214yes—
248#2332C2214yes—
249#2331C2212yes—
250#2330C2212yes—
251#2323C2214yes—
252#2322C2214yes—
253#2319C2212yes—
254#2319C2212yes—
255#2313C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281#2297C2212yes—
282#2296C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#389C2212yes—
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300#557—48no—
301#554—216no—
302#552—48no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#127C2311yescharacteristic
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C4×#41—48no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
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#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#383C2314yes—
696#383C2314yes—
697#383C2312yes—
698#383C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2314yes—
721#381C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2314yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853#127—24no—
854#126—48no—
855#125—28no—
856#125—28no—
857#125—24no—
858#125—24no—
859#125—44no—
860#125—48no—
861#125—48no—
862#125—48no—
863#125—48no—
864#124—28no—
865#124—48no—
866#123—48no—
867#123—48no—
868#123—48no—
869C22⋊Q8—216no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880#121—24no—
881#121—24no—
882#121—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—44no—
888C4×Q8—48no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4#4118yes—
909#117—44no—
910#117—44no—
911#117—48no—
912#117—44no—
913#117—44no—
914#117—44no—
915C2×C4⋊C4—216no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—24no—
1033C2×C42—24no—
1034C2×C42—24no—
1035C2×C42—24no—
1036C2×C42—44no—
1037C2×C42—44no—
1038C2×C42—42no—
1039C2×C42—42no—
1040C2×C42—42no—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2512yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166#41—432no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—28no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—42no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4C2×#4114yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2×#4118yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
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—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
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—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4C2×#4114yes—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
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—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4C2×#4118yes—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—28no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—41no—
1418C42—41no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42C2×#4114yes—
1437C42H(5,𝔽2)14yes—
1438C422−1+414yes—
1439C422−1+414yes—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23C22×#4114yes—
1460C23#58512yes—
1461C23C2611yescharacteristic
1462Q8—48no—
1463Q8—48no—
1464Q8—84no—
1465Q8—88no—
1466Q8—84no—
1467Q8—84no—
1468D4—28no—
1469D4—48no—
1470D4—48no—
1471D4—48no—
1472D4—48no—
1473D4—44no—
1474C2×C4—28no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
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—24no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—88no—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4112yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4C2×2−1+412yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4#58512yes—
1584C2×C4#58512yes—
1585C22—22no—
1586C22—22no—
1587C22—24no—
1588C22—24no—
1589C22—24no—
1590C22—22no—
1591C22—42no—
1592C22—41no—
1593C22—42no—
1594C22—41no—
1595C22—41no—
1596C22—42no—
1597C22—41no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22C23×#4111yescharacteristic
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C22×2−1+411yescharacteristic
1609C22C22×2−1+411yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—24no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4—41no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—42no—
1633C4—41no—
1634C4—44no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4#350914yes—
1644C4#355414yes—
1645C2—42no—
1646C2—44no—
1647C2—82no—
1648C2C2×#355411yescharacteristic
1649C2#6275211yescharacteristic
1650C2#6277311yescharacteristic
1651C2C2×#350911yescharacteristic
1652C2#6281611yescharacteristic
1653C2#6283111yescharacteristic
1654C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59667C2semidirect
2. #59665C2semidirect
3. #59444C2semidirect
4. #59442C2semidirect
5. #59260C2semidirect
6. #59247C2semidirect
7. #45897C2semidirect
8. #45656C2semidirect
9. #45631C2semidirect
10. #40423C2semidirect
11. #40001C2semidirect
12. #39955C2semidirect
13. #39927C2semidirect
15. #39176C2semidirect
16. #39158C2semidirect
17. #39156C2semidirect
18. #38969C2semidirect
19. #38932C2semidirect
20. #38930C2semidirect
21. #38748C2semidirect
22. #37571C2semidirect
23. #36813C2semidirect
24. #36635C2semidirect
25. #36635C2semidirect
26. #36505C2semidirect
27. #36476C2semidirect
28. #36476C2semidirect
29. #36416C2semidirect
30. #36375C2semidirect
31. #36261C2semidirect
32. #35039C2semidirect
33. #35026C2semidirect
34. #34489C2semidirect

Maximal subgroups

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

subgroupindex
#596672
#596652
#594442
#594422
#592602
#592472
#458972
#456562
#456312
#404232
#400012
#399552
#399272
#398772
#391762
#391582
#391562
#389692
#389322
#389302
#387482
#375712
#368132
#366352
#365052
#364762
#364162
#363752
#362612
#350392
#350262
#344892
C4×#5322