Finite Group Databasebeta

← #7647108

Subgroups — #7647108

Order 512.

4201 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42782C212yesmaximal, complemented
2#42779C212yesmaximal, complemented
3#42724C212yesmaximal
4#42721C212yesmaximal, complemented
5#41906C214yesmaximal, complemented
6#41853C214yesmaximal, complemented
7#39762C211yesmaximal, characteristic, complemented
8#39734C211yesmaximal, characteristic, complemented
9#39553C212yesmaximal, complemented
10#39498C211yesmaximal, characteristic, complemented
11#39478C211yesmaximal, characteristic, complemented
12#39067C212yesmaximal, complemented
13#38984C211yesmaximal, characteristic, complemented
14#38954C211yesmaximal, characteristic, complemented
15#38923C211yesmaximal, characteristic
16#38911C211yesmaximal, characteristic
17#38267C212yesmaximal, complemented
18#38207C212yesmaximal, complemented
19#37526C212yesmaximal, complemented
20#37495C212yesmaximal, complemented
21#37110C214yesmaximal, complemented
22#37106C214yesmaximal, complemented
23#35632C212yesmaximal, complemented
24#35631C212yesmaximal
25#35313C212yesmaximal, complemented
26#35291C211yesmaximal, characteristic, complemented
27#35221C212yesmaximal, complemented
28#35217C212yesmaximal, complemented
29#35187C211yesmaximal, characteristic, complemented
30#35163C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34916C211yesmaximal, characteristic, complemented
33#34334C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2866C2214yes—
40#2864C2214yes—
41#2864C2212yes—
42#2863C2212yes—
43#2863C2214yes—
44#2863C2214yes—
45#2862C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2835C2214yes—
50#2834C2214yes—
51#2833C2214yes—
52#2831C2214yes—
53#2807C2214yes—
54#2802C2214yes—
55#2796C2214yes—
56#2788C2214yes—
57#2787C2214yes—
58#2777C2214yes—
59#2776C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2770C2214yes—
63#2767C2214yes—
64#2767C2214yes—
65#2766C2214yes—
66#2766C2214yes—
67#2762C2214yes—
68#2759C2214yes—
69#2758C2214yes—
70#2758C2214yes—
71#2755C2214yes—
72#2747C2214yes—
73#2747C2214yes—
74#2747C2214yes—
75#2739C2214yes—
76#2738C2214yes—
77#2738C2214yes—
78#2737C2214yes—
79#2722C2214yes—
80#2698C2214yes—
81#2698C2214yes—
82#2695C2214yes—
83#2689C2214yes—
84#2687C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2655C2214yes—
91#2652C2214yes—
92#2650C2214yes—
93#2649C2214yes—
94#2646C2214yes—
95#2645C2214yes—
96#2645C2214yes—
97#2645C2212yes—
98#2645C2212yes—
99#2643C2214yes—
100#2642C2212yes—
101#2628C2212yes—
102#2625C2212yes—
103#2625C2212yes—
104#2625C2212yes—
105#2625C2212yes—
106#2621C2212yes—
107#2621C2212yes—
108#2597C2214yes—
109#2594C2214yes—
110#2590C2212yes—
111#2590C2214yes—
112#2589C2212yes—
113#2588C2212yes—
114#2588C2214yes—
115#2588C2214yes—
116#2587C2212yes—
117#2586C2214yes—
118#2585C2214yes—
119#2585C2214yes—
120#2584C2212yes—
121#2582C2211yescharacteristic
122#2582C2211yescharacteristic
123#2581C2212yes—
124#2580C2212yes—
125#2577C2214yes—
126#2575C2214yes—
127#2573C2214yes—
128#2571C2211yescharacteristic
129#2570C2212yes—
130#2568C2212yes—
131#2568C2211yescharacteristic
132#2568C2211yescharacteristic
133#2565C2212yes—
134#2552C2211yescharacteristic
135#2550C2212yes—
136#2547C2212yes—
137#2546C2211yescharacteristic
138#2546C2211yescharacteristic
139#2533C2214yes—
140#2533C2214yes—
141#2532C2214yes—
142#2530C2214yes—
143#2529C2214yes—
144#2527C2214yes—
145#2524C2214yes—
146#2523C2214yes—
147#2518C2214yes—
148#2517C2214yes—
149#2517C2214yes—
150#2516C2214yes—
151#2514C2212yes—
152#2514C2212yes—
153#2514C2212yes—
154#2514C2212yes—
155#2514C2212yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2212yes—
159#2514C2212yes—
160#2511C2212yes—
161#2511C2212yes—
162#2511C2212yes—
163#2511C2212yes—
164#2511C2211yescharacteristic
165#2510C2214yes—
166#2509C2212yes—
167#2509C2212yes—
168#2509C2212yes—
169#2509C2212yes—
170#2509C2212yes—
171#2508C2212yes—
172#2508C2212yes—
173#2508C2212yes—
174#2507C2212yes—
175#2507C2211yescharacteristic
176#2505C2214yes—
177#2499C2212yes—
178#2497C2211yescharacteristic
179#2495C2212yes—
180#2495C2212yes—
181#2494C2212yes—
182#2494C2214yes—
183#2494C2212yes—
184#2493C2214yes—
185#2493C2214yes—
186#2493C2214yes—
187#2493C2214yes—
188#2492C2212yes—
189#2492C2211yescharacteristic
190#2489C2212yes—
191#2489C2212yes—
192#2485C2212yes—
193#2454C2212yes—
194#2453C2212yes—
195#2453C2212yes—
196#2453C2212yes—
197#2451C2212yes—
198#2451C2212yes—
199#2451C2212yes—
200#2451C2211yescharacteristic
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2446C2211yescharacteristic
208#2446C2212yes—
209#2442C2212yes—
210#2441C2212yes—
211#2434C2212yes—
212#2429C2212yes—
213#2429C2211yescharacteristic
214#2427C2212yes—
215#2423C2211yescharacteristic
216#2421C2212yes—
217#2421C2212yes—
218#2420C2212yes—
219#2417C2212yes—
220#2415C2212yes—
221#2409C2212yes—
222#2402C2212yes—
223#2402C2214yes—
224#2396C2212yes—
225#2373C2214yes—
226#2369C2212yes—
227#2368C2214yes—
228#2367C2212yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2362C2212yes—
232#2360C2212yes—
233#2356C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2349C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239#2347C2212yes—
240Q8×C22⋊C4C2212yes—
241#2335C2212yes—
242#2335C2212yes—
243#2334C2212yes—
244#2334C2212yes—
245#2331C2212yes—
246#2330C2211yescharacteristic
247#2330C2211yescharacteristic
248#2330C2212yes—
249#2329C2214yes—
250#2327C2212yes—
251#2326C2211yescharacteristic
252#2326C2211yescharacteristic
253#2324C2211yescharacteristic
254#2324C2211yescharacteristic
255#2323C2211yescharacteristic
256#2323C2211yescharacteristic
257#2323C2212yes—
258#2323C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261#2320C2212yes—
262#2317C2212yes—
263#2316C2212yes—
264#2314C2212yes—
265#2310C2212yes—
266#2310C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×#125C2212yes—
273C4×#126C2214yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279#2298C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287C2×#391C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2275C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#556—28no—
301D4×Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309#529—28no—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#123C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C42C2311yescharacteristic
355C22×C42C2312yes—
356#401C2314yes—
357#401C2314yes—
358#401C2314yes—
359#401C2314yes—
360#401C2314yes—
361#401C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2312yes—
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2311yescharacteristic
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800#376C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2314yes—
805#376C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C43C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8—28no—
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—42no—
840#126—28no—
841#126—216no—
842#125—24no—
843#125—44no—
844#125—44no—
845#124—24no—
846#124—28no—
847#123—28no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—24no—
851C22⋊Q8—216no—
852C22⋊Q8—42no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856#121—24no—
857C4×Q8—28no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—44no—
864C4×Q8—42no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—24no—
873C4×D4—42no—
874C4×D4—44no—
875C4×D4#4118yes—
876#117—28no—
877#117—28no—
878#117—24no—
879#117—44no—
880#117—44no—
881#117—42no—
882#117—44no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C42—24no—
994C2×C42—44no—
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2411yescharacteristic
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2414yes—
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132C24C2511yescharacteristic
1133C24C2512yes—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—24no—
1137C2×Q8—22no—
1138C2×Q8—24no—
1139C2×Q8—28no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—42no—
1155C2×Q8—816no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4C2×#4114yes—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—28no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4C2×#4118yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4C2×#4114yes—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—24no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—24no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—41no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—41no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4C2×#4118yes—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—28no—
1333C42—24no—
1334C42—24no—
1335C42—22no—
1336C42—28no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—22no—
1348C42—42no—
1349C42—42no—
1350C42—41no—
1351C42—42no—
1352C42—42no—
1353C42—41no—
1354C42—42no—
1355C42—41no—
1356C42—41no—
1357C42—44no—
1358C42—42no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C42—42no—
1366C42—44no—
1367C42C2×#4114yes—
1368C422−1+414yes—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23C22×#4114yes—
1383C23C2611yescharacteristic
1384Q8—44no—
1385Q8—48no—
1386Q8—44no—
1387Q8—48no—
1388Q8—44no—
1389Q8—88no—
1390Q8—84no—
1391D4—28no—
1392D4—84no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—216no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—82no—
1486C2×C4—84no—
1487C2×C4—88no—
1488C2×C4—84no—
1489C2×C4—164no—
1490C2×C4C22×#4114yes—
1491C2×C4C22×#4112yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C2×C4#58512yes—
1500C22—24no—
1501C22—24no—
1502C22—24no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22C23×#4111yescharacteristic
1515C22C22×2−1+411yescharacteristic
1516C22C2×#58511yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C222−1+611yescharacteristic
1520C222−1+611yescharacteristic
1521C4—24no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—41no—
1526C4—42no—
1527C4—44no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—41no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—42no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—44no—
1545C4—41no—
1546C4—44no—
1547C4—41no—
1548C4—42no—
1549C4—41no—
1550C4—44no—
1551C4—42no—
1552C4#346114yes—
1553C4#352114yes—
1554C2—44no—
1555C2—81no—
1556C2C2×#346111yescharacteristic
1557C2C2×#352111yescharacteristic
1558C2#6286111yescharacteristic
1559C2#6293211yescharacteristic
1560C2#6293611yescharacteristic
1561C2#6295611yescharacteristic
1562C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42782C2semidirect
2. #42779C2semidirect
4. #42721C2semidirect
5. #41906C2semidirect
6. #41853C2semidirect
7. #39762C2semidirect
8. #39734C2semidirect
9. #39553C2semidirect
10. #39498C2semidirect
11. #39478C2semidirect
12. #39067C2semidirect
13. #38984C2semidirect
14. #38954C2semidirect
17. #38267C2semidirect
18. #38207C2semidirect
19. #37526C2semidirect
20. #37495C2semidirect
21. #37110C2semidirect
22. #37106C2semidirect
23. #35632C2semidirect
25. #35313C2semidirect
26. #35291C2semidirect
27. #35221C2semidirect
28. #35217C2semidirect
29. #35187C2semidirect
30. #35163C2semidirect
31. #34951C2semidirect
32. #34916C2semidirect
33. #34334C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#427822
#427792
#427242
#427212
#419062
#418532
#397622
#397342
#395532
#394982
#394782
#390672
#389842
#389542
#389232
#389112
#382672
#382072
#375262
#374952
#371102
#371062
#356322
#356312
#353132
#352912
#352212
#352172
#351872
#351632
#349512
#349162
#343342
C4×#5562
#340842