Finite Group Databasebeta

← #8466879

Subgroups — #8466879

Order 512.

4024 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59869C211yesmaximal, characteristic, complemented
2#59302C211yesmaximal, characteristic, complemented
3#59211C211yesmaximal, characteristic, complemented
4#55933C214yesmaximal, complemented
5#55668C214yesmaximal, complemented
6#55562C214yesmaximal, complemented
7#53083C212yesmaximal, complemented
8#53081C212yesmaximal, complemented
9#49447C214yesmaximal, complemented
10#46049C212yesmaximal, complemented
11#45664C212yesmaximal, complemented
12#45232C212yesmaximal, complemented
13#45212C212yesmaximal, complemented
14#42764C212yesmaximal, complemented
15#42756C212yesmaximal, complemented
16#42693C212yesmaximal
17#42692C212yesmaximal, complemented
18#40004C212yesmaximal, complemented
19#39750C212yesmaximal, complemented
20#39626C211yesmaximal, characteristic, complemented
21#39250C212yesmaximal, complemented
22#39158C211yesmaximal, characteristic, complemented
23#39157C211yesmaximal, characteristic, complemented
24#38931C211yesmaximal, characteristic, complemented
25#38075C212yesmaximal, complemented
26#37623C211yesmaximal, characteristic, complemented
27#37358C212yesmaximal, complemented
28#37295C212yesmaximal, complemented
29#36459C211yesmaximal, characteristic, complemented
30#36416C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35192C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34943C211yesmaximal, characteristic
35#34803C211yesmaximal, characteristic, complemented
36#2864C2212yes—
37#2862C2212yes—
38#2860C2212yes—
39#2859C2211yescharacteristic
40#2857C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2855C2212yes—
44#2851C2212yes—
45#2843C2214yes—
46#2832C2214yes—
47#2831C2214yes—
48#2831C2214yes—
49#2831C2214yes—
50#2830C2214yes—
51#2827C2214yes—
52#2823C2214yes—
53#2809C2214yes—
54#2806C2214yes—
55#2799C2214yes—
56#2799C2214yes—
57#2798C2214yes—
58#2794C2214yes—
59#2793C2214yes—
60#2793C2214yes—
61#2792C2214yes—
62#2786C2214yes—
63#2779C2214yes—
64#2776C2214yes—
65#2775C2214yes—
66#2772C2214yes—
67#2769C2214yes—
68#2765C2214yes—
69#2764C2214yes—
70#2762C2214yes—
71#2762C2214yes—
72#2759C2214yes—
73#2759C2214yes—
74#2758C2214yes—
75#2758C2214yes—
76#2755C2214yes—
77#2755C2214yes—
78#2754C2214yes—
79#2754C2214yes—
80#2747C2214yes—
81#2747C2214yes—
82#2747C2214yes—
83#2747C2214yes—
84#2745C2214yes—
85#2744C2214yes—
86#2739C2214yes—
87#2728C2214yes—
88#2723C2214yes—
89#2722C2214yes—
90#2716C2214yes—
91#2716C2214yes—
92#2716C2214yes—
93#2715C2214yes—
94#2702C2214yes—
95#2700C2214yes—
96#2698C2214yes—
97#2698C2214yes—
98#2691C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2686C2214yes—
102#2665C2214yes—
103#2665C2214yes—
104#2660C2212yes—
105#2660C2212yes—
106#2660C2212yes—
107#2655C2214yes—
108#2655C2214yes—
109#2654C2214yes—
110#2653C2214yes—
111#2651C2214yes—
112#2647C2212yes—
113#2647C2212yes—
114#2647C2212yes—
115#2645C2212yes—
116#2644C2212yes—
117#2627C2214yes—
118#2605C2214yes—
119#2589C2214yes—
120#2588C2214yes—
121#2588C2214yes—
122#2587C2214yes—
123#2582C2212yes—
124#2580C2212yes—
125#2572C2212yes—
126#2572C2212yes—
127#2571C2211yescharacteristic
128#2571C2211yescharacteristic
129#2571C2212yes—
130#2571C2211yescharacteristic
131#2571C2211yescharacteristic
132#2570C2212yes—
133#2570C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2568C2214yes—
137#2567C2211yescharacteristic
138#2567C2212yes—
139#2566C2212yes—
140#2563C2211yescharacteristic
141#2563C2211yescharacteristic
142#2563C2211yescharacteristic
143#2560C2214yes—
144#2560C2214yes—
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2552C2211yescharacteristic
148#2551C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2547C2212yes—
152#2546C2212yes—
153#2546C2212yes—
154#2538C2211yescharacteristic
155#2537C2211yescharacteristic
156#2536C2212yes—
157#2533C2212yes—
158#2532C2214yes—
159#2527C2212yes—
160#2525C2214yes—
161#2524C2214yes—
162#2524C2214yes—
163#2523C2214yes—
164#2523C2212yes—
165#2521C2214yes—
166#2520C2214yes—
167#2520C2214yes—
168#2514C2214yes—
169#2514C2211yescharacteristic
170#2513C2212yes—
171#2512C2212yes—
172#2511C2212yes—
173#2509C2212yes—
174#2509C2212yes—
175#2509C2211yescharacteristic
176#2508C2212yes—
177#2508C2212yes—
178#2508C2212yes—
179#2508C2212yes—
180#2508C2212yes—
181#2507C2212yes—
182#2507C2212yes—
183#2504C2212yes—
184#2500C2212yes—
185#2499C2212yes—
186#2499C2211yescharacteristic
187#2497C2212yes—
188#2497C2212yes—
189#2496C2212yes—
190#2496C2214yes—
191#2496C2212yes—
192#2496C2212yes—
193#2496C2212yes—
194#2496C2212yes—
195#2496C2212yes—
196#2496C2211yescharacteristic
197#2495C2211yescharacteristic
198#2495C2212yes—
199#2495C2212yes—
200#2495C2212yes—
201#2495C2211yescharacteristic
202#2495C2212yes—
203#2494C2212yes—
204#2494C2212yes—
205#2494C2212yes—
206#2492C2211yescharacteristic
207#2492C2214yes—
208#2492C2212yes—
209#2491C2212yes—
210#2490C2212yes—
211#2489C2212yes—
212#2487C2212yes—
213#2485C2212yes—
214#2485C2211yescharacteristic
215#2485C2212yes—
216#2485C2212yes—
217#2481C2214yes—
218#2466C2212yes—
219#2465C2214yes—
220#2452C2212yes—
221#2451C2212yes—
222#2442C2212yes—
223#2442C2212yes—
224#2442C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2440C2212yes—
228#2440C2212yes—
229#2439C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2439C2211yescharacteristic
233#2439C2212yes—
234#2439C2212yes—
235#2439C2212yes—
236#2423C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2420C2211yescharacteristic
240#2420C2211yescharacteristic
241#2417C2212yes—
242#2417C2212yes—
243#2415C2211yescharacteristic
244#2401C2212yes—
245#2398C2212yes—
246#2398C2212yes—
247#2398C2212yes—
248#2379C2214yes—
249#2370C2212yes—
250#2369C2211yescharacteristic
251#2369C2211yescharacteristic
252#2362C2212yes—
253#2360C2212yes—
254#2355C2212yes—
255#2355C2212yes—
256#2355C2211yescharacteristic
257#2355C2212yes—
258#2354C2211yescharacteristic
259#2354C2211yescharacteristic
260#2354C2212yes—
261#2352C2212yes—
262#2352C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264#2347C2212yes—
265#2347C2212yes—
266#2345C2212yes—
267#2345C2212yes—
268#2334C2214yes—
269#2331C2212yes—
270#2331C2212yes—
271#2331C2212yes—
272#2331C2212yes—
273#2331C2212yes—
274#2330C2212yes—
275#2320C2212yes—
276#2319C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2296C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2212yes—
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2311yescharacteristic
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2312yes—
350#401C2314yes—
351#401C2314yes—
352#401C2312yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2312yes—
362#400C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#399C2314yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#393C2314yes—
465#393C2314yes—
466#393C2312yes—
467#393C2312yes—
468#393C2312yes—
469#393C2312yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2314yes—
475#393C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2314yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
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#388C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2314yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#383C2312yes—
682#383C2312yes—
683#383C2312yes—
684#383C2312yes—
685#383C2312yes—
686#383C2314yes—
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2412yes—
813C22×Q8C2412yes—
814C22×Q8C2414yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2412yes—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—42no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—84no—
838#126—44no—
839#126—48no—
840#126—84no—
841#126—84no—
842#126—84no—
843#125—44no—
844#125—44no—
845#125—44no—
846#124—48no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849C22⋊Q8—42no—
850C22⋊Q8—42no—
851C22⋊Q8—84no—
852C22⋊Q8—82no—
853C22⋊Q8—84no—
854#121—44no—
855#121—42no—
856#121—42no—
857C4×Q8—24no—
858C4×Q8—28no—
859C4×Q8—44no—
860C4×Q8—44no—
861C4×Q8—82no—
862C4×D4—24no—
863C4×D4—24no—
864C4×D4—24no—
865C4×D4—42no—
866C4×D4—42no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—42no—
870#117—44no—
871#117—44no—
872#117—42no—
873#117—44no—
874#117—42no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—82no—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
993C2×C42—24no—
994C2×C42—24no—
995C2×C42—44no—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
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—
1125C24C2511yescharacteristic
1126C24C2511yescharacteristic
1127C2×Q8—22no—
1128C2×Q8—24no—
1129C2×Q8—24no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×D4—22no—
1146C2×D4—24no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—41no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—41no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C22⋊C4—22no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—24no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—41no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—22no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—42no—
1351C42—42no—
1352C42—44no—
1353C42—44no—
1354C42—42no—
1355C42—44no—
1356C42—42no—
1357C42—41no—
1358C42—44no—
1359C42—41no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C42—42no—
1366C422−1+414yes—
1367C422−1+414yes—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—22no—
1375C23—21no—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23#58512yes—
1389C23C2611yescharacteristic
1390Q8—44no—
1391Q8—84no—
1392Q8—84no—
1393Q8—84no—
1394Q8—164no—
1395Q8—164no—
1396D4—44no—
1397D4—44no—
1398D4—84no—
1399D4—84no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—48no—
1493C2×C4—84no—
1494C2×C4—82no—
1495C2×C4—84no—
1496C2×C4—164no—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4#58512yes—
1504C2×C4#58512yes—
1505C2×C4#58512yes—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22—41no—
1516C22—42no—
1517C22—42no—
1518C22—41no—
1519C22—42no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—41no—
1524C22—42no—
1525C22—42no—
1526C22—41no—
1527C22C22×2−1+411yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22C2×#58511yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C22H(7,𝔽2)11yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—42no—
1540C4—42no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—44no—
1559C4—41no—
1560C4—42no—
1561C4—44no—
1562C4—44no—
1563C4—42no—
1564C4#355514yes—
1565C4#356514yes—
1566C2—42no—
1567C2—81no—
1568C2—82no—
1569C2C2×#356511yescharacteristic
1570C2C2×#355511yescharacteristic
1571C2#6283111yescharacteristic
1572C2#6292911yescharacteristic
1573C2#6295811yescharacteristic
1574C2#6296611yescharacteristic
1575C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59869C2semidirect
2. #59302C2semidirect
3. #59211C2semidirect
4. #55933C2semidirect
5. #55668C2semidirect
6. #55562C2semidirect
7. #53083C2semidirect
8. #53081C2semidirect
9. #49447C2semidirect
10. #46049C2semidirect
11. #45664C2semidirect
12. #45232C2semidirect
13. #45212C2semidirect
14. #42764C2semidirect
15. #42756C2semidirect
17. #42692C2semidirect
18. #40004C2semidirect
19. #39750C2semidirect
20. #39626C2semidirect
21. #39250C2semidirect
22. #39158C2semidirect
23. #39157C2semidirect
24. #38931C2semidirect
25. #38075C2semidirect
26. #37623C2semidirect
27. #37358C2semidirect
28. #37295C2semidirect
29. #36459C2semidirect
30. #36416C2semidirect
31. #36189C2semidirect
32. #35192C2semidirect
33. #35177C2semidirect
35. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598692
#593022
#592112
#559332
#556682
#555622
#530832
#530812
#494472
#460492
#456642
#452322
#452122
#427642
#427562
#426932
#426922
#400042
#397502
#396262
#392502
#391582
#391572
#389312
#380752
#376232
#373582
#372952
#364592
#364162
#361892
#351922
#351772
#349432
#348032