Finite Group Databasebeta

← #8458732

Subgroups — #8458732

Order 512.

4037 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59864C211yesmaximal, characteristic
2#59436C211yesmaximal, characteristic, complemented
3#59435C211yesmaximal, characteristic, complemented
4#58458C214yesmaximal, complemented
5#58401C214yesmaximal, complemented
6#57876C214yesmaximal, complemented
7#53153C212yesmaximal, complemented
8#52991C212yesmaximal, complemented
9#51199C214yesmaximal, complemented
10#46191C212yesmaximal, complemented
11#45627C212yesmaximal, complemented
12#45007C212yesmaximal
13#44919C212yesmaximal, complemented
14#42744C212yesmaximal, complemented
15#42743C212yesmaximal, complemented
16#42640C212yesmaximal, complemented
17#42493C212yesmaximal, complemented
18#39181C211yesmaximal, characteristic, complemented
19#39001C212yesmaximal
20#38977C211yesmaximal, characteristic, complemented
21#38975C211yesmaximal, characteristic
22#38971C212yesmaximal, complemented
23#38967C211yesmaximal, characteristic, complemented
24#38929C212yesmaximal, complemented
25#37884C212yesmaximal, complemented
26#37638C211yesmaximal, characteristic, complemented
27#37415C212yesmaximal, complemented
28#37358C212yesmaximal, complemented
29#36574C211yesmaximal, characteristic, complemented
30#36555C211yesmaximal, characteristic, complemented
31#36165C211yesmaximal, characteristic, complemented
32#35185C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34920C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic
36#2864C2212yes—
37#2864C2212yes—
38#2860C2212yes—
39#2859C2211yescharacteristic
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2857C2212yes—
43#2855C2212yes—
44#2851C2212yes—
45#2841C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2838C2214yes—
49#2838C2214yes—
50#2838C2214yes—
51#2835C2214yes—
52#2833C2214yes—
53#2810C2214yes—
54#2807C2214yes—
55#2804C2214yes—
56#2798C2214yes—
57#2789C2214yes—
58#2788C2214yes—
59#2779C2214yes—
60#2776C2214yes—
61#2775C2214yes—
62#2774C2214yes—
63#2773C2214yes—
64#2771C2214yes—
65#2771C2214yes—
66#2770C2214yes—
67#2769C2214yes—
68#2768C2214yes—
69#2767C2214yes—
70#2767C2214yes—
71#2767C2214yes—
72#2767C2214yes—
73#2765C2214yes—
74#2765C2214yes—
75#2763C2214yes—
76#2762C2214yes—
77#2761C2214yes—
78#2754C2214yes—
79#2747C2214yes—
80#2746C2214yes—
81#2745C2214yes—
82#2745C2214yes—
83#2745C2214yes—
84#2744C2214yes—
85#2743C2214yes—
86#2742C2214yes—
87#2739C2214yes—
88#2739C2214yes—
89#2738C2214yes—
90#2737C2214yes—
91#2729C2214yes—
92#2723C2214yes—
93#2722C2214yes—
94#2719C2214yes—
95#2716C2214yes—
96#2716C2214yes—
97#2713C2214yes—
98#2707C2214yes—
99#2707C2214yes—
100#2695C2214yes—
101#2695C2214yes—
102#2666C2214yes—
103#2665C2214yes—
104#2653C2214yes—
105#2650C2214yes—
106#2647C2212yes—
107#2647C2212yes—
108#2647C2212yes—
109#2646C2214yes—
110#2645C2212yes—
111#2645C2212yes—
112#2645C2214yes—
113#2645C2212yes—
114#2644C2212yes—
115#2634C2214yes—
116#2628C2212yes—
117#2628C2214yes—
118#2604C2214yes—
119#2599C2214yes—
120#2597C2212yes—
121#2595C2212yes—
122#2592C2211yescharacteristic
123#2590C2212yes—
124#2588C2212yes—
125#2587C2214yes—
126#2584C2211yescharacteristic
127#2584C2212yes—
128#2584C2212yes—
129#2582C2211yescharacteristic
130#2581C2212yes—
131#2581C2212yes—
132#2581C2211yescharacteristic
133#2580C2214yes—
134#2580C2212yes—
135#2580C2211yescharacteristic
136#2580C2212yes—
137#2571C2211yescharacteristic
138#2571C2211yescharacteristic
139#2571C2212yes—
140#2571C2212yes—
141#2570C2212yes—
142#2570C2212yes—
143#2570C2211yescharacteristic
144#2567C2211yescharacteristic
145#2567C2211yescharacteristic
146#2565C2211yescharacteristic
147#2563C2211yescharacteristic
148#2563C2211yescharacteristic
149#2563C2212yes—
150#2563C2212yes—
151#2562C2214yes—
152#2551C2211yescharacteristic
153#2551C2212yes—
154#2550C2212yes—
155#2550C2211yescharacteristic
156#2546C2212yes—
157#2544C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2533C2214yes—
161#2530C2214yes—
162#2530C2214yes—
163#2522C2214yes—
164#2520C2212yes—
165#2516C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2513C2211yescharacteristic
170#2513C2212yes—
171#2512C2212yes—
172#2511C2211yescharacteristic
173#2509C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2509C2212yes—
177#2509C2212yes—
178#2509C2212yes—
179#2508C2212yes—
180#2508C2212yes—
181#2508C2212yes—
182#2508C2212yes—
183#2508C2212yes—
184#2508C2211yescharacteristic
185#2507C2212yes—
186#2506C2212yes—
187#2506C2212yes—
188#2506C2211yescharacteristic
189#2505C2214yes—
190#2505C2214yes—
191#2503C2212yes—
192#2498C2214yes—
193#2497C2212yes—
194#2497C2212yes—
195#2496C2212yes—
196#2496C2212yes—
197#2495C2212yes—
198#2495C2212yes—
199#2494C2212yes—
200#2494C2212yes—
201#2493C2214yes—
202#2493C2214yes—
203#2492C2212yes—
204#2489C2212yes—
205#2488C2214yes—
206#2487C2212yes—
207#2487C2212yes—
208#2486C2212yes—
209#2485C2212yes—
210#2479C2214yes—
211#2469C2214yes—
212#2465C2214yes—
213#2462C2212yes—
214#2460C2214yes—
215#2458C2212yes—
216#2454C2212yes—
217#2454C2212yes—
218#2453C2212yes—
219#2453C2211yescharacteristic
220#2453C2212yes—
221#2453C2212yes—
222#2452C2212yes—
223#2451C2212yes—
224#2451C2211yescharacteristic
225#2448C2212yes—
226#2447C2212yes—
227#2447C2211yescharacteristic
228#2447C2212yes—
229#2445C2212yes—
230#2445C2211yescharacteristic
231#2442C2212yes—
232#2442C2212yes—
233#2442C2212yes—
234#2442C2212yes—
235#2442C2212yes—
236#2441C2212yes—
237#2439C2212yes—
238#2438C2214yes—
239#2423C2212yes—
240#2421C2212yes—
241#2419C2214yes—
242#2417C2212yes—
243#2415C2212yes—
244#2402C2212yes—
245#2399C2212yes—
246#2398C2212yes—
247#2395C2212yes—
248#2382C2214yes—
249#2370C2212yes—
250#2370C2212yes—
251#2366C2212yes—
252#2360C2212yes—
253#2356C2212yes—
254#2355C2211yescharacteristic
255#2354C2211yescharacteristic
256#2354C2212yes—
257#2351C2212yes—
258Q8×C4⋊C4C2211yescharacteristic
259#2349C2212yes—
260#2349C2212yes—
261D4×C4⋊C4C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2211yescharacteristic
265#2346C2212yes—
266#2345C2212yes—
267#2344C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2323C2212yes—
271#2319C2212yes—
272#2319C2212yes—
273#2319C2212yes—
274#2318C2214yes—
275#2316C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×#123C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2290C2212yes—
295C2×#382C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2314yes—
304C2×#127C2311yescharacteristic
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2314yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C42C2312yes—
350#401C2314yes—
351#401C2314yes—
352#401C2314yes—
353#401C2314yes—
354#400C2312yes—
355#400C2314yes—
356#400C2312yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
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#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#395C2312yes—
455#395C2314yes—
456#395C2312yes—
457#395C2312yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2312yes—
475#393C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C4⋊Q8—24no—
828C4⋊Q8—44no—
829C4⋊Q8—42no—
830C4⋊Q8—44no—
831C4⋊Q8—84no—
832#127—24no—
833#126—84no—
834#126—84no—
835#125—42no—
836#125—48no—
837#125—42no—
838#125—44no—
839#125—44no—
840#125—44no—
841#125—82no—
842#124—24no—
843#124—42no—
844#123—44no—
845#123—84no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—84no—
849C4×Q8—24no—
850C4×Q8—24no—
851C4×Q8—42no—
852C4×Q8—44no—
853C4×Q8—42no—
854C4×Q8—44no—
855C4×Q8—42no—
856C4×Q8—42no—
857C4×Q8—44no—
858C4×Q8—42no—
859C4×Q8—82no—
860C4×Q8—82no—
861C4×D4—24no—
862C4×D4—28no—
863C4×D4—24no—
864C4×D4—24no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4—48no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871#117—44no—
872#117—44no—
873#117—84no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C42—44no—
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
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—
1124C24C2512yes—
1125C24C2512yes—
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—24no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—42no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D42−1+414yes—
1156C22×C4—28no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4C2512yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C42—22no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—24no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—22no—
1340C42—28no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—42no—
1348C42—42no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—41no—
1353C42—41no—
1354C42—42no—
1355C42—42no—
1356C42—44no—
1357C42—41no—
1358C42—41no—
1359C42—44no—
1360C42—42no—
1361C42—41no—
1362C42—42no—
1363C422−1+414yes—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23C2×2−1+414yes—
1378C23C2611yescharacteristic
1379Q8—48no—
1380Q8—44no—
1381Q8—44no—
1382Q8—44no—
1383Q8—84no—
1384Q8—164no—
1385D4—28no—
1386D4—48no—
1387D4—44no—
1388D4—84no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—84no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—164no—
1486C2×C4—164no—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4C2×2−1+412yes—
1490C2×C4C2×2−1+412yes—
1491C2×C4#58512yes—
1492C2×C4#58512yes—
1493C2×C4#58512yes—
1494C2×C4#58512yes—
1495C22—24no—
1496C22—24no—
1497C22—24no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22C22×2−1+411yescharacteristic
1510C22C22×2−1+411yescharacteristic
1511C22C2×#58511yescharacteristic
1512C22C2×#58511yescharacteristic
1513C22C2×#58511yescharacteristic
1514C22C2×#58511yescharacteristic
1515C22H(7,𝔽2)11yescharacteristic
1516C4—22no—
1517C4—22no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—41no—
1523C4—42no—
1524C4—42no—
1525C4—41no—
1526C4—42no—
1527C4—42no—
1528C4—44no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—42no—
1533C4—42no—
1534C4—44no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—44no—
1542C4—41no—
1543C4—41no—
1544C4—44no—
1545C4—42no—
1546C4—41no—
1547C4#355714yes—
1548C4#356314yes—
1549C2—44no—
1550C2—82no—
1551C2C2×#356311yescharacteristic
1552C2C2×#355711yescharacteristic
1553C2#6284111yescharacteristic
1554C2#6292611yescharacteristic
1555C2#6293711yescharacteristic
1556C2#6295111yescharacteristic
1557C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59436C2semidirect
3. #59435C2semidirect
4. #58458C2semidirect
5. #58401C2semidirect
6. #57876C2semidirect
7. #53153C2semidirect
8. #52991C2semidirect
9. #51199C2semidirect
10. #46191C2semidirect
11. #45627C2semidirect
13. #44919C2semidirect
14. #42744C2semidirect
15. #42743C2semidirect
16. #42640C2semidirect
17. #42493C2semidirect
18. #39181C2semidirect
20. #38977C2semidirect
22. #38971C2semidirect
23. #38967C2semidirect
24. #38929C2semidirect
25. #37884C2semidirect
26. #37638C2semidirect
27. #37415C2semidirect
28. #37358C2semidirect
29. #36574C2semidirect
30. #36555C2semidirect
31. #36165C2semidirect
32. #35185C2semidirect
33. #35177C2semidirect
34. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#598642
#594362
#594352
#584582
#584012
#578762
#531532
#529912
#511992
#461912
#456272
#450072
#449192
#427442
#427432
#426402
#424932
#391812
#390012
#389772
#389752
#389712
#389672
#389292
#378842
#376382
#374152
#373582
#365742
#365552
#361652
#351852
#351772
#349202
#349182