Finite Group Databasebeta

← #7664911

Subgroups — #7664911

Order 512.

4824 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39498C211yesmaximal, characteristic, complemented
2#39489C211yesmaximal, characteristic, complemented
3#39470C211yesmaximal, characteristic, complemented
4#39469C211yesmaximal, characteristic
5#39011C212yesmaximal, complemented
6#39005C212yesmaximal, complemented
7#39002C212yesmaximal, complemented
8#38996C212yesmaximal, complemented
9#38318C214yesmaximal, complemented
10#38309C214yesmaximal, complemented
11#38300C214yesmaximal, complemented
12#38295C214yesmaximal, complemented
13#37973C212yesmaximal, complemented
14#37970C212yesmaximal, complemented
15#37944C212yesmaximal, complemented
16#37939C212yesmaximal, complemented
17#36297C212yesmaximal, complemented
18#36284C212yesmaximal, complemented
19#36252C212yesmaximal, complemented
20#36251C212yesmaximal, complemented
21#36194C211yesmaximal, characteristic, complemented
22#36193C211yesmaximal, characteristic, complemented
23#36176C211yesmaximal, characteristic, complemented
24#36174C211yesmaximal, characteristic, complemented
25#35284C211yesmaximal, characteristic, complemented
26#35258C212yesmaximal, complemented
27#35229C212yesmaximal, complemented
28#35207C211yesmaximal, characteristic, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35163C212yesmaximal, complemented
31C4×#554C211yesmaximal, characteristic, complemented
32C4×#555C211yesmaximal, characteristic, complemented
33#34141C211yesmaximal, characteristic, complemented
34C4×#542C211yesmaximal, characteristic, complemented
35#34060C212yesmaximal, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×C4×#41C2212yes—
41#2868C2211yescharacteristic
42#2866C2214yes—
43#2864C2214yes—
44#2864C2212yes—
45#2860C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2855C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2854C2214yes—
54#2853C2214yes—
55#2851C2212yes—
56#2850C2212yes—
57#2807C2214yes—
58#2788C2214yes—
59#2783C2214yes—
60#2782C2214yes—
61#2779C2214yes—
62#2766C2214yes—
63#2762C2214yes—
64#2761C2214yes—
65#2757C2214yes—
66#2754C2214yes—
67#2750C2214yes—
68#2738C2214yes—
69#2712C2214yes—
70#2708C2214yes—
71#2706C2214yes—
72#2705C2214yes—
73#2700C2214yes—
74#2698C2214yes—
75#2693C2214yes—
76#2687C2214yes—
77#2681C2214yes—
78#2676C2214yes—
79#2674C2214yes—
80#2674C2214yes—
81#2654C2214yes—
82#2653C2214yes—
83#2652C2214yes—
84#2651C2214yes—
85#2650C2214yes—
86#2649C2214yes—
87#2647C2212yes—
88#2629C2212yes—
89#2628C2212yes—
90#2620C2212yes—
91#2616C2212yes—
92#2615C2212yes—
93#2612C2214yes—
94#2612C2214yes—
95#2595C2214yes—
96#2589C2214yes—
97#2587C2214yes—
98#2584C2212yes—
99#2580C2212yes—
100#2576C2214yes—
101#2571C2211yescharacteristic
102#2571C2212yes—
103#2567C2211yescharacteristic
104#2563C2211yescharacteristic
105#2563C2211yescharacteristic
106#2563C2211yescharacteristic
107#2554C2214yes—
108#2553C2214yes—
109#2552C2211yescharacteristic
110#2550C2212yes—
111#2538C2211yescharacteristic
112#2538C2212yes—
113#2537C2211yescharacteristic
114#2535C2212yes—
115#2533C2214yes—
116#2532C2214yes—
117#2531C2214yes—
118#2530C2214yes—
119#2529C2214yes—
120#2527C2214yes—
121#2526C2214yes—
122#2526C2214yes—
123#2522C2214yes—
124#2520C2214yes—
125#2518C2214yes—
126#2518C2214yes—
127#2517C2214yes—
128#2516C2214yes—
129#2513C2212yes—
130#2513C2212yes—
131#2511C2212yes—
132#2509C2212yes—
133#2509C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2507C2212yes—
137#2507C2212yes—
138#2507C2212yes—
139#2501C2212yes—
140#2499C2212yes—
141#2497C2212yes—
142#2497C2212yes—
143#2497C2212yes—
144#2497C2212yes—
145#2496C2212yes—
146#2495C2212yes—
147#2495C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2492C2214yes—
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2489C2212yes—
155#2488C2214yes—
156#2486C2212yes—
157#2486C2212yes—
158#2485C2212yes—
159#2476C2214yes—
160#2471C2214yes—
161#2471C2214yes—
162#2470C2214yes—
163#2469C2214yes—
164#2469C2214yes—
165#2467C2214yes—
166#2465C2214yes—
167#2463C2214yes—
168#2461C2214yes—
169#2459C2214yes—
170#2458C2214yes—
171#2457C2214yes—
172#2455C2214yes—
173#2454C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2445C2212yes—
177#2442C2212yes—
178#2442C2212yes—
179#2441C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2439C2212yes—
183#2439C2214yes—
184#2438C2214yes—
185#2429C2212yes—
186#2429C2212yes—
187#2428C2212yes—
188#2425C2214yes—
189#2422C2212yes—
190#2422C2212yes—
191#2422C2212yes—
192#2421C2212yes—
193#2420C2212yes—
194#2420C2212yes—
195#2419C2214yes—
196#2416C2212yes—
197#2415C2212yes—
198#2414C2212yes—
199#2372C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2368C2214yes—
205#2367C2212yes—
206#2367C2212yes—
207#2366C2211yescharacteristic
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2364C2212yes—
212#2364C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2361C2211yescharacteristic
217#2361C2211yescharacteristic
218#2361C2211yescharacteristic
219#2361C2211yescharacteristic
220#2360C2212yes—
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2212yes—
226#2352C2212yes—
227#2349C2212yes—
228D4×C4⋊C4C2211yescharacteristic
229#2346C2212yes—
230#2346C2212yes—
231#2346C2212yes—
232#2346C2212yes—
233#2345C2212yes—
234#2344C2212yes—
235#2337C2212yes—
236#2335C2212yes—
237#2334C2212yes—
238#2332C2212yes—
239#2331C2211yescharacteristic
240#2330C2212yes—
241#2326C2211yescharacteristic
242#2324C2211yescharacteristic
243#2324C2212yes—
244#2323C2211yescharacteristic
245#2323C2212yes—
246#2320C2214yes—
247#2320C2211yescharacteristic
248#2319C2214yes—
249#2319C2211yescharacteristic
250#2318C2214yes—
251#2318C2214yes—
252#2317C2212yes—
253#2317C2212yes—
254#2314C2211yescharacteristic
255#2314C2212yes—
256#2314C2212yes—
257#2314C2212yes—
258#2311C2212yes—
259#2311C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2212yes—
264C4×#126C2212yes—
265C4×#124C2211yescharacteristic
266C4×#124C2212yes—
267C4×#124C2214yes—
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×#123C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2212yes—
276#2297C2212yes—
277#2295C2214yes—
278#2293C2214yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2290C2214yes—
282#2290C2214yes—
283#2290C2212yes—
284#2290C2212yes—
285#2285C2212yes—
286#2285C2212yes—
287#2283C2212yes—
288#2283C2212yes—
289C42×Q8C2211yescharacteristic
290C42×D4C2211yescharacteristic
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C4×#117C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#555—28no—
301#554—28no—
302#542—28no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C4×#41—216no—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2314yes—
380C2×#117C2314yes—
381C2×#117C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2312yes—
391C22×C42C2314yes—
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2314yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
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#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2314yes—
702#382C2314yes—
703#382C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2314yes—
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2314yes—
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—82no—
854C4⋊Q8—82no—
855#127—24no—
856#126—28no—
857#126—84no—
858#125—28no—
859#125—44no—
860#125—44no—
861#124—28no—
862#124—28no—
863#124—216no—
864#124—24no—
865#123—28no—
866#123—84no—
867#123—84no—
868#123—84no—
869#123—84no—
870#123—84no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—44no—
876C22⋊Q8—82no—
877C22⋊Q8—82no—
878C22⋊Q8—84no—
879#121—24no—
880#121—28no—
881#121—24no—
882#121—28no—
883#121—24no—
884#121—28no—
885#121—44no—
886#121—44no—
887#121—84no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—82no—
895C4×Q8—82no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—84no—
915C4×D4#4118yes—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—28no—
921#117—42no—
922#117—44no—
923#117—84no—
924#117—84no—
925#117#4118yes—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—42no—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C42—28no—
1050C2×C42—28no—
1051C2×C42—28no—
1052C2×C42—24no—
1053C2×C42—44no—
1054C2×C42—84no—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2411yescharacteristic
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24C2512yes—
1169C24C2512yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172#41—432no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4C2×#4114yes—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
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—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4118yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4114yes—
1362C4⋊C42−1+414yes—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4C2×#4114yes—
1414C22⋊C4C2×#4114yes—
1415C22⋊C4C2×#4118yes—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—28no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—42no—
1449C42—41no—
1450C42—41no—
1451C42—42no—
1452C42—41no—
1453C42—41no—
1454C42C2×#4114yes—
1455C42C2×#4114yes—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
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×#4114yes—
1484C23C22×#4112yes—
1485C23C2611yescharacteristic
1486Q8—48no—
1487Q8—44no—
1488Q8—84no—
1489Q8—84no—
1490Q8—84no—
1491D4—28no—
1492D4—48no—
1493D4—48no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—84no—
1498D4—84no—
1499D4—88no—
1500D4—164no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—216no—
1518C2×C4—28no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—82no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—88no—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C2×2−1+414yes—
1607C2×C4C2×2−1+412yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—22no—
1612C22—24no—
1613C22—24no—
1614C22—22no—
1615C22—24no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22C23×#4111yescharacteristic
1639C22C23×#4111yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C22H(7,𝔽2)11yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—24no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—24no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—44no—
1661C4—44no—
1662C4—41no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—44no—
1669C4—41no—
1670C4—41no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4#346114yes—
1675C4#347514yes—
1676C2—42no—
1677C2—44no—
1678C2—82no—
1679C2—82no—
1680C2C2×#346111yescharacteristic
1681C2C2×#347511yescharacteristic
1682C2#6285811yescharacteristic
1683C2#6293811yescharacteristic
1684C2#6295211yescharacteristic
1685C2#6299411yescharacteristic
1686C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39469C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39498C2semidirect
2. #39489C2semidirect
3. #39470C2semidirect
5. #39011C2semidirect
6. #39005C2semidirect
7. #39002C2semidirect
8. #38996C2semidirect
9. #38318C2semidirect
10. #38309C2semidirect
11. #38300C2semidirect
12. #38295C2semidirect
13. #37973C2semidirect
14. #37970C2semidirect
15. #37944C2semidirect
16. #37939C2semidirect
17. #36297C2semidirect
18. #36284C2semidirect
19. #36252C2semidirect
20. #36251C2semidirect
21. #36194C2semidirect
22. #36193C2semidirect
23. #36176C2semidirect
24. #36174C2semidirect
25. #35284C2semidirect
26. #35258C2semidirect
27. #35229C2semidirect
28. #35207C2semidirect
29. #35185C2semidirect
30. #35163C2semidirect
31. C4×#554C2semidirect
32. C4×#555C2semidirect
33. #34141C2semidirect
34. C4×#542C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#394982
#394892
#394702
#394692
#390112
#390052
#390022
#389962
#383182
#383092
#383002
#382952
#379732
#379702
#379442
#379392
#362972
#362842
#362522
#362512
#361942
#361932
#361762
#361742
#352842
#352582
#352292
#352072
#351852
#351632
C4×#5542
C4×#5552
#341412
C4×#5422
#340602