Finite Group Databasebeta

← #7987129

Subgroups — #7987129

Order 512.

4271 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59672C211yesmaximal, characteristic, complemented
2#59668C211yesmaximal, characteristic, complemented
3#59667C211yesmaximal, characteristic, complemented
4#59565C212yesmaximal
5#59251C212yesmaximal, complemented
6#51636C214yesmaximal, complemented
7#50996C214yesmaximal, complemented
8#45719C212yesmaximal, complemented
9#45611C212yesmaximal, complemented
10#45424C212yesmaximal
11#45381C212yesmaximal
12#44395C214yesmaximal, complemented
13#42733C212yesmaximal, complemented
14#42689C212yesmaximal, complemented
15#42120C214yesmaximal, complemented
16#40082C212yesmaximal, complemented
17#39927C212yesmaximal, complemented
18#39927C212yesmaximal, complemented
19#39642C211yesmaximal, characteristic, complemented
20#38986C211yesmaximal, characteristic, complemented
21#38943C212yesmaximal, complemented
22#38224C212yesmaximal
23#36598C211yesmaximal, characteristic, complemented
24#36286C211yesmaximal, characteristic, complemented
25#36199C212yesmaximal, complemented
26#36194C211yesmaximal, characteristic
27#36175C211yesmaximal, characteristic
28#36175C211yesmaximal, characteristic
29#35239C212yesmaximal, complemented
30#35206C211yesmaximal, characteristic
31#35177C211yesmaximal, characteristic
32#34941C211yesmaximal, characteristic
33#34920C211yesmaximal, characteristic, complemented
34#34490C212yesmaximal, complemented
35C4×#554C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2211yescharacteristic
38#2868C2211yescharacteristic
39#2863C2212yes—
40#2862C2211yescharacteristic
41#2862C2211yescharacteristic
42#2857C2212yes—
43#2857C2212yes—
44#2855C2212yes—
45#2855C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2833C2214yes—
50#2833C2214yes—
51#2809C2214yes—
52#2806C2214yes—
53#2794C2214yes—
54#2789C2214yes—
55#2776C2214yes—
56#2771C2214yes—
57#2770C2214yes—
58#2769C2214yes—
59#2769C2214yes—
60#2766C2214yes—
61#2765C2214yes—
62#2762C2214yes—
63#2762C2214yes—
64#2762C2214yes—
65#2758C2214yes—
66#2758C2214yes—
67#2747C2214yes—
68#2747C2214yes—
69#2745C2214yes—
70#2744C2214yes—
71#2744C2214yes—
72#2738C2214yes—
73#2720C2214yes—
74#2719C2214yes—
75#2719C2214yes—
76#2713C2214yes—
77#2713C2214yes—
78#2713C2214yes—
79#2713C2214yes—
80#2704C2214yes—
81#2704C2214yes—
82#2690C2214yes—
83#2677C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2665C2214yes—
87#2655C2214yes—
88#2655C2214yes—
89#2652C2214yes—
90#2647C2212yes—
91#2645C2212yes—
92#2642C2214yes—
93#2605C2214yes—
94#2590C2212yes—
95#2588C2214yes—
96#2588C2212yes—
97#2584C2212yes—
98#2584C2211yescharacteristic
99#2582C2212yes—
100#2581C2212yes—
101#2581C2212yes—
102#2581C2211yescharacteristic
103#2577C2214yes—
104#2574C2214yes—
105#2573C2214yes—
106#2571C2212yes—
107#2571C2212yes—
108#2571C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2570C2212yes—
112#2570C2212yes—
113#2568C2211yescharacteristic
114#2568C2212yes—
115#2567C2211yescharacteristic
116#2567C2211yescharacteristic
117#2565C2214yes—
118#2565C2211yescharacteristic
119#2563C2211yescharacteristic
120#2563C2211yescharacteristic
121#2552C2211yescharacteristic
122#2552C2211yescharacteristic
123#2552C2212yes—
124#2552C2212yes—
125#2552C2212yes—
126#2552C2212yes—
127#2551C2211yescharacteristic
128#2551C2212yes—
129#2551C2212yes—
130#2550C2212yes—
131#2550C2211yescharacteristic
132#2547C2211yescharacteristic
133#2546C2212yes—
134#2538C2212yes—
135#2538C2211yescharacteristic
136#2533C2214yes—
137#2528C2214yes—
138#2527C2214yes—
139#2527C2214yes—
140#2527C2214yes—
141#2524C2214yes—
142#2524C2214yes—
143#2523C2214yes—
144#2523C2214yes—
145#2520C2212yes—
146#2515C2214yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2514C2212yes—
151#2514C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2511C2212yes—
156#2511C2212yes—
157#2511C2212yes—
158#2509C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2211yescharacteristic
162#2508C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2506C2212yes—
166#2506C2212yes—
167#2506C2212yes—
168#2506C2212yes—
169#2506C2212yes—
170#2506C2211yescharacteristic
171#2506C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2493C2214yes—
182#2492C2212yes—
183#2492C2214yes—
184#2489C2214yes—
185#2489C2212yes—
186#2484C2214yes—
187#2475C2214yes—
188#2475C2214yes—
189#2475C2214yes—
190#2475C2214yes—
191#2473C2214yes—
192#2465C2214yes—
193#2465C2214yes—
194#2462C2214yes—
195#2462C2212yes—
196#2454C2212yes—
197#2453C2212yes—
198#2453C2212yes—
199#2453C2211yescharacteristic
200#2452C2212yes—
201#2451C2212yes—
202#2451C2214yes—
203#2451C2211yescharacteristic
204#2451C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2447C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2442C2214yes—
211#2440C2214yes—
212#2439C2214yes—
213#2438C2214yes—
214#2438C2214yes—
215#2429C2214yes—
216#2423C2212yes—
217#2402C2212yes—
218#2399C2212yes—
219#2396C2214yes—
220#2382C2214yes—
221#2381C2214yes—
222#2371C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2211yescharacteristic
227#2370C2211yescharacteristic
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2369C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2212yes—
235#2368C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2365C2212yes—
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2365C2212yes—
242#2360C2212yes—
243#2356C2212yes—
244#2356C2212yes—
245#2356C2212yes—
246#2356C2214yes—
247#2355C2212yes—
248#2355C2212yes—
249#2355C2212yes—
250#2355C2212yes—
251#2355C2211yescharacteristic
252#2354C2212yes—
253#2349C2211yescharacteristic
254#2349C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256#2345C2212yes—
257#2343C2214yes—
258#2336C2214yes—
259#2336C2214yes—
260#2331C2212yes—
261#2331C2214yes—
262#2330C2214yes—
263#2330C2212yes—
264#2326C2212yes—
265#2320C2214yes—
266#2320C2212yes—
267#2320C2212yes—
268#2319C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2212yes—
289#2285C2212yes—
290#2285C2212yes—
291#2283C2212yes—
292#2283C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#557—216no—
300#554—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×#117C2314yes—
353C2×#117C2314yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C42C2312yes—
357C22×C42C2312yes—
358C22×C42C2312yes—
359#401C2314yes—
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
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#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2312yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#395C2312yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
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#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2314yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C4⋊Q8—24no—
829C4⋊Q8—216no—
830C4⋊Q8—28no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—42no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—84no—
838C4⋊Q8—82no—
839#125—24no—
840#125—216no—
841#125—28no—
842#125—216no—
843#125—24no—
844#125—42no—
845#125—44no—
846#125—48no—
847#125—44no—
848#125—84no—
849#125—84no—
850#125#4118yes—
851#124—28no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—44no—
856C22⋊Q8—84no—
857C22⋊Q8—84no—
858C4×Q8—28no—
859C4×Q8—216no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—42no—
870C4×Q8—82no—
871C4×Q8—82no—
872C4×D4—24no—
873C4×D4—24no—
874C4×D4—24no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—24no—
879#117—48no—
880#117—84no—
881C2×C4⋊C4—28no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C42—28no—
990C2×C42—44no—
991C2×C42—44no—
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2411yescharacteristic
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133C24C2512yes—
1134C2×Q8—24no—
1135C2×Q8—22no—
1136C2×Q8—28no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—41no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D42−1+414yes—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4C2512yes—
1183C22×C4C2514yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C4⋊C4—22no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4C2×#4118yes—
1304C4⋊C4C2×#4114yes—
1305C4⋊C4C2×#4114yes—
1306C4⋊C4C2×#4118yes—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C42—22no—
1323C42—22no—
1324C42—28no—
1325C42—24no—
1326C42—28no—
1327C42—28no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—24no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—22no—
1345C42—22no—
1346C42—42no—
1347C42—42no—
1348C42—42no—
1349C42—42no—
1350C42—44no—
1351C42—44no—
1352C42—42no—
1353C42—44no—
1354C42—41no—
1355C42—41no—
1356C42—42no—
1357C42—41no—
1358C42—41no—
1359C42—44no—
1360C42—44no—
1361C42—42no—
1362C42—44no—
1363C42—41no—
1364C42C2×#4114yes—
1365C422−1+414yes—
1366C422−1+414yes—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23C2×2−1+414yes—
1374C23C2611yescharacteristic
1375Q8—44no—
1376Q8—48no—
1377Q8—44no—
1378Q8—84no—
1379Q8—84no—
1380Q8—88no—
1381Q8—84no—
1382Q8—84no—
1383D4—28no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—48no—
1473C2×C4—48no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—84no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4114yes—
1481C2×C4C22×#4114yes—
1482C2×C4C22×#4112yes—
1483C2×C4C22×#4112yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
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—
1493C22—24no—
1494C22—24no—
1495C22—24no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22C23×#4111yescharacteristic
1501C22C22×2−1+411yescharacteristic
1502C22C22×2−1+411yescharacteristic
1503C22C22×2−1+411yescharacteristic
1504C22C2×#58511yescharacteristic
1505C22C2×#58511yescharacteristic
1506C22H(7,𝔽2)11yescharacteristic
1507C4—22no—
1508C4—24no—
1509C4—22no—
1510C4—22no—
1511C4—24no—
1512C4—22no—
1513C4—22no—
1514C4—22no—
1515C4—41no—
1516C4—42no—
1517C4—42no—
1518C4—44no—
1519C4—41no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—41no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—41no—
1528C4—44no—
1529C4—42no—
1530C4—42no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—44no—
1538C4—44no—
1539C4#352314yes—
1540C4#355514yes—
1541C2—44no—
1542C2C2×#355511yescharacteristic
1543C2C2×#352311yescharacteristic
1544C2#6280511yescharacteristic
1545C2#6294511yescharacteristic
1546C2#6296211yescharacteristic
1547C2#6299411yescharacteristic
1548C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59672C2semidirect
2. #59668C2semidirect
3. #59667C2semidirect
5. #59251C2semidirect
6. #51636C2semidirect
7. #50996C2semidirect
8. #45719C2semidirect
9. #45611C2semidirect
12. #44395C2semidirect
13. #42733C2semidirect
14. #42689C2semidirect
15. #42120C2semidirect
16. #40082C2semidirect
17. #39927C2semidirect
18. #39927C2semidirect
19. #39642C2semidirect
20. #38986C2semidirect
21. #38943C2semidirect
23. #36598C2semidirect
24. #36286C2semidirect
25. #36199C2semidirect
29. #35239C2semidirect
33. #34920C2semidirect
34. #34490C2semidirect

Maximal subgroups

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

subgroupindex
#596722
#596682
#596672
#595652
#592512
#516362
#509962
#457192
#456112
#454242
#453812
#443952
#427332
#426892
#421202
#400822
#399272
#396422
#389862
#389432
#382242
#365982
#362862
#361992
#361942
#361752
#352392
#352062
#351772
#349412
#349202
#344902
C4×#5542