Finite Group Databasebeta

← #7658856

Subgroups — #7658856

Order 512.

5036 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42986C212yesmaximal, complemented
2#42955C211yesmaximal, characteristic, complemented
3#42952C211yesmaximal, characteristic, complemented
4#42625C212yesmaximal, complemented
5#42624C212yesmaximal, complemented
6#42584C212yesmaximal, complemented
7#42578C212yesmaximal, complemented
8#42217C212yesmaximal, complemented
9#42073C214yesmaximal, complemented
10#42035C212yesmaximal, complemented
11#41249C214yesmaximal, complemented
12#41246C214yesmaximal, complemented
13#41222C214yesmaximal, complemented
14#41212C214yesmaximal, complemented
15#37626C212yesmaximal, complemented
16#37583C214yesmaximal, complemented
17#37513C211yesmaximal, characteristic, complemented
18#37493C212yesmaximal, complemented
19#36696C212yesmaximal, complemented
20#36670C211yesmaximal, characteristic, complemented
21#36022C211yesmaximal, characteristic, complemented
22#35978C212yesmaximal, complemented
23#35941C212yesmaximal, complemented
24#35882C212yesmaximal, complemented
25#35830C212yesmaximal, complemented
26#35752C212yesmaximal, complemented
27#35741C211yesmaximal, characteristic, complemented
28#34301C212yesmaximal, complemented
29#34275C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic
31C2×#553C2212yes—
32C2×#553C2212yescomplemented
33C2×#550C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#520C2211yescharacteristic
36C2×#518C2211yescharacteristic
37#2843C2212yescomplemented
38#2833C2211yescharacteristic, complemented
39#2832C2211yescharacteristic, complemented
40#2832C2212yescomplemented
41#2831C2212yescomplemented
42#2830C2211yescharacteristic, complemented
43#2830C2214yescomplemented
44#2829C2214yes—
45#2829C2214yescomplemented
46#2829C2214yescomplemented
47#2829C2212yescomplemented
48#2828C2214yes—
49#2828C2214yescomplemented
50#2828C2211yescharacteristic, complemented
51#2828C2212yescomplemented
52#2827C2212yes—
53#2826C2212yes—
54#2825C2212yes—
55#2824C2212yes—
56#2823C2212yescomplemented
57#2818C2214yes—
58#2801C2214yescomplemented
59#2796C2214yescomplemented
60#2777C2214yescomplemented
61#2768C2214yes—
62#2763C2212yes—
63#2761C2214yescomplemented
64#2753C2214yescomplemented
65#2742C2212yes—
66#2741C2214yescomplemented
67#2737C2214yescomplemented
68#2730C2214yescomplemented
69#2709C2214yescomplemented
70#2703C2214yescomplemented
71#2701C2214yescomplemented
72#2699C2214yescomplemented
73#2693C2212yes—
74#2688C2214yescomplemented
75#2678C2214yes—
76#2678C2214yes—
77#2675C2212yes—
78#2673C2214yescomplemented
79#2672C2214yescomplemented
80#2671C2214yes—
81#2671C2214yescomplemented
82#2669C2214yes—
83#2669C2214yes—
84#2666C2214yescomplemented
85#2663C2214yescomplemented
86#2662C2214yes—
87#2662C2214yescomplemented
88#2661C2214yes—
89#2661C2214yescomplemented
90#2661C2214yescomplemented
91#2654C2214yescomplemented
92#2652C2214yescomplemented
93#2649C2214yescomplemented
94#2648C2214yes—
95#2648C2214yescomplemented
96#2644C2212yes—
97#2641C2212yes—
98#2636C2214yescomplemented
99#2635C2214yes—
100#2635C2212yes—
101#2635C2212yes—
102#2635C2214yescomplemented
103#2631C2214yes—
104#2631C2214yes—
105#2628C2211yescharacteristic
106#2624C2212yes—
107#2624C2214yescomplemented
108#2624C2214yescomplemented
109#2622C2214yes—
110#2619C2212yes—
111#2619C2211yescharacteristic
112#2619C2214yescomplemented
113#2619C2214yescomplemented
114#2617C2214yes—
115#2615C2212yes—
116#2601C2214yescomplemented
117#2600C2214yes—
118#2597C2214yescomplemented
119#2595C2214yescomplemented
120#2584C2212yescomplemented
121#2580C2211yescharacteristic
122#2578C2214yescomplemented
123#2576C2214yescomplemented
124#2572C2212yescomplemented
125#2571C2212yescomplemented
126#2559C2214yescomplemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2555C2214yescomplemented
130#2555C2212yescomplemented
131#2550C2212yescomplemented
132#2544C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2211yescharacteristic
135#2541C2211yescharacteristic
136#2541C2212yes—
137#2541C2212yes—
138#2541C2214yes—
139#2539C2212yes—
140#2539C2212yes—
141#2537C2212yescomplemented
142#2535C2211yescharacteristic
143#2516C2214yescomplemented
144#2515C2214yescomplemented
145#2513C2212yes—
146#2508C2212yescomplemented
147#2508C2212yescomplemented
148#2500C2212yescomplemented
149#2495C2212yescomplemented
150#2491C2212yescomplemented
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2485C2212yescomplemented
155#2482C2212yes—
156#2477C2214yescomplemented
157#2476C2214yescomplemented
158#2476C2214yescomplemented
159#2472C2214yes—
160#2471C2214yescomplemented
161#2471C2214yescomplemented
162#2470C2214yescomplemented
163#2469C2214yescomplemented
164#2467C2214yes—
165#2464C2214yes—
166#2464C2214yescomplemented
167#2461C2214yes—
168#2458C2214yescomplemented
169#2456C2214yes—
170#2454C2212yescomplemented
171#2445C2212yes—
172#2445C2212yes—
173#2444C2214yescomplemented
174#2442C2212yes—
175#2442C2212yescomplemented
176#2441C2212yescomplemented
177#2433C2212yes—
178#2430C2214yescomplemented
179#2428C2212yes—
180#2428C2212yes—
181#2428C2212yes—
182#2428C2214yescomplemented
183#2428C2214yescomplemented
184#2428C2214yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2424C2214yes—
188#2424C2214yes—
189#2422C2212yes—
190#2420C2214yescomplemented
191#2420C2212yescomplemented
192#2420C2214yescomplemented
193#2419C2214yescomplemented
194#2418C2214yes—
195#2416C2212yes—
196#2416C2212yes—
197#2416C2212yes—
198#2416C2212yescomplemented
199#2414C2214yes—
200#2414C2212yescomplemented
201#2408C2212yes—
202#2404C2212yes—
203#2401C2212yescomplemented
204#2398C2212yescomplemented
205#2396C2211yescharacteristic
206#2395C2212yes—
207#2395C2214yescomplemented
208#2395C2212yescomplemented
209#2392C2211yescharacteristic
210#2392C2214yescomplemented
211#2392C2214yescomplemented
212#2392C2212yescomplemented
213#2392C2214yescomplemented
214#2388C2212yes—
215#2388C2212yes—
216#2388C2214yescomplemented
217#2373C2214yescomplemented
218#2370C2212yescomplemented
219#2366C2212yes—
220#2363C2214yes—
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2363C2212yescomplemented
226#2361C2212yes—
227#2361C2212yes—
228#2361C2212yescomplemented
229#2359C2214yes—
230#2358C2214yes—
231#2358C2214yes—
232#2357C2211yescharacteristic
233#2357C2211yescharacteristic
234#2354C2212yes—
235#2354C2212yescomplemented
236#2353C2214yescomplemented
237#2352C2212yescomplemented
238#2347C2212yes—
239#2344C2212yescomplemented
240#2344C2212yescomplemented
241#2335C2214yes—
242#2333C2214yes—
243#2330C2212yescomplemented
244#2328C2212yes—
245#2326C2212yes—
246#2324C2212yescomplemented
247#2317C2211yescharacteristic
248C4×#127C2212yes—
249C4×#126C2214yescomplemented
250C4×#124C2212yes—
251C4×#121C2212yes—
252#2297C2211yescharacteristic
253#2293C2214yescomplemented
254C2×#390C2211yescharacteristic
255#2290C2212yes—
256#2275C2212yescomplemented
257#2274C2212yescomplemented
258C4×#117C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262#555—44no—
263#553—216no—
264#553—48no—
265#550—44no—
266#535—28no—
267C2×C4⋊Q8C2311yescharacteristic
268C2×#127C2312yes—
269C2×#127C2312yes—
270C2×#127C2311yescharacteristic
271C2×#127C2312yes—
272C2×#127C2314yes—
273C2×#127C2314yes—
274C2×#126C2314yes—
275C2×#126C2314yes—
276C2×#125C2312yes—
277C2×#125C2312yes—
278C2×#124C2312yes—
279C2×#124C2314yes—
280C2×#124C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×#121C2312yes—
288C2×#121C2314yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2312yes—
292C2×#121C2312yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×#120C2314yes—
315#520—44no—
316#518—44no—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×#117C2312yes—
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2314yes—
348C2×#117C2314yes—
349C2×#117C2314yes—
350C2×#117C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2314yes—
357C22×C42C2311yescharacteristic
358#401C2312yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2312yes—
363#400C2311yescharacteristic
364#400C2312yes—
365#400C2314yes—
366#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#399C2311yescharacteristic
373#399C2312yes—
374#399C2314yes—
375#399C2312yes—
376#399C2312yes—
377#399C2312yes—
378#399C2314yes—
379#399C2312yes—
380#399C2314yes—
381#398C2311yescharacteristic
382#398C2314yes—
383#398C2312yes—
384#398C2312yes—
385#398C2314yes—
386#398C2312yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#397C2312yes—
392#397C2312yes—
393#397C2312yes—
394#397C2312yes—
395#397C2312yes—
396#397C2312yes—
397#397C2312yes—
398#397C2311yescharacteristic
399#397C2312yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2312yes—
420#396C2312yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#395C2311yescharacteristic
428#395C2314yes—
429#395C2312yes—
430#395C2312yes—
431#395C2314yes—
432#394C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2312yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2311yescharacteristic
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2311yescharacteristic
479#393C2312yes—
480#393C2312yes—
481#393C2314yes—
482#393C2312yes—
483#393C2312yes—
484#393C2314yes—
485#393C2312yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2312yes—
493#392C2311yescharacteristic
494#392C2312yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
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#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#384C2312yes—
653#384C2312yes—
654#383C2314yes—
655#383C2314yes—
656#382C2314yes—
657#382C2314yes—
658#382C2312yes—
659#382C2311yescharacteristic
660#382C2312yes—
661#382C2311yescharacteristic
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2312yes—
666#381C2312yes—
667#380C2314yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2314yes—
676#379C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715#376C2312yes—
716#376C2312yes—
717C2×#95C2314yes—
718C43C2312yes—
719C25C2412yes—
720C2×#41—24no—
721C2×#41—42no—
722C2×#41—42no—
723C2×#41—44no—
724C2×#41—84no—
725C22×Q8C2411yescharacteristic
726C22×Q8C2411yescharacteristic
727C22×Q8C2412yes—
728C22×D4—24no—
729C22×D4—42no—
730C22×D4—42no—
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2411yescharacteristic
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2411yescharacteristic
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2414yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C4⋊Q8—42no—
771#127—28no—
772#127—44no—
773#127—42no—
774#127—44no—
775#127—84no—
776#127—84no—
777#126—216no—
778#126—48no—
779#125—28no—
780#125—44no—
781#124—28no—
782#124—48no—
783#124—84no—
784#123—216no—
785#123—48no—
786#123—84no—
787#123—84no—
788#123—84no—
789C22⋊Q8—84no—
790#121—28no—
791#121—28no—
792#121—28no—
793#121—28no—
794#121—216no—
795#121—48no—
796#121—44no—
797#121—48no—
798#121—44no—
799#121—44no—
800#121—44no—
801#121—44no—
802#121—44no—
803#121—44no—
804#121—84no—
805#121—84no—
806#121—84no—
807#121—84no—
808#121—84no—
809#121—84no—
810#121—84no—
811#121—84no—
812#121—84no—
813#121—84no—
814#120—216no—
815#120—84no—
816#120—84no—
817#120—84no—
818C4×Q8—42no—
819C4×Q8—44no—
820C4×D4—28no—
821C4×D4—28no—
822C4×D4—24no—
823C4×D4—24no—
824C4×D4—28no—
825C4×D4—216no—
826C4×D4—44no—
827C4×D4—44no—
828C4×D4—42no—
829C4×D4—42no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—44no—
833C4×D4—48no—
834C4×D4—44no—
835C4×D4—42no—
836C4×D4—48no—
837C4×D4—84no—
838C4×D4—84no—
839C4×D4—84no—
840C4×D4—84no—
841C4×D4—84no—
842#117—24no—
843#117—28no—
844#117—44no—
845#117—42no—
846#117—44no—
847#117—44no—
848#117—84no—
849#117—84no—
850#117—84no—
851#117#4118yescomplemented
852C2×C4⋊C4—28no—
853C2×C4⋊C4—28no—
854C2×C4⋊C4—42no—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C22⋊C4—44no—
899C2×C22⋊C4—44no—
900C2×C22⋊C4—84no—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2411yescharacteristic
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C42—42no—
972C2×C42C2414yes—
973C2×C42C2412yes—
974C2×C42C2411yescharacteristic
975C2×C42C2411yescharacteristic
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991#95C2412yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2411yescharacteristic
1005#95C2411yescharacteristic
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2411yescharacteristic
1031#95C2414yes—
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045C24—24no—
1046C24—42no—
1047C24—42no—
1048C24—44no—
1049C24—44no—
1050C24C2512yes—
1051C24C2512yes—
1052C24C2514yes—
1053C24C2512yes—
1054C24C2512yes—
1055C24C2511yescharacteristic
1056#41—416no—
1057#41—816no—
1058C2×Q8—22no—
1059C2×Q8—41no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×Q8—42no—
1063C2×Q8—44no—
1064C2×Q8—42no—
1065C2×D4—24no—
1066C2×D4—24no—
1067C2×D4—28no—
1068C2×D4—24no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—24no—
1072C2×D4—22no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—42no—
1083C2×D4—41no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—41no—
1087C2×D4—42no—
1088C2×D4—416no—
1089C2×D4—42no—
1090C2×D4—44no—
1091C2×D4—41no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—42no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—42no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4C2×#4114yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2514yes—
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C4⋊C4—24no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—24no—
1202C4⋊C4—28no—
1203C4⋊C4—24no—
1204C4⋊C4—28no—
1205C4⋊C4—22no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—42no—
1222C4⋊C4—44no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—42no—
1229C4⋊C4—41no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—42no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4C2×#4118yes—
1240C4⋊C4H(5,𝔽2)14yes—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—44no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4C2×#4118yes—
1311C42—24no—
1312C42—28no—
1313C42—24no—
1314C42—22no—
1315C42—22no—
1316C42—24no—
1317C42—24no—
1318C42—24no—
1319C42—41no—
1320C42—41no—
1321C42—44no—
1322C42—44no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C42—44no—
1328C42—44no—
1329C42C2×#4118yes—
1330C23—21no—
1331C23—21no—
1332C23—22no—
1333C23—22no—
1334C23—24no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—24no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—24no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—24no—
1352C23—22no—
1353C23—24no—
1354C23—24no—
1355C23—22no—
1356C23—24no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—24no—
1361C23—22no—
1362C23—24no—
1363C23—22no—
1364C23—22no—
1365C23—48no—
1366C23—88no—
1367C23—162no—
1368C23—164no—
1369C23—162no—
1370C23C22×#4112yes—
1371C23C2611yescharacteristic
1372Q8—44no—
1373Q8—44no—
1374Q8—162no—
1375D4—48no—
1376D4—44no—
1377D4—48no—
1378D4—48no—
1379D4—44no—
1380D4—44no—
1381D4—88no—
1382D4—88no—
1383D4—88no—
1384D4—88no—
1385D4—84no—
1386D4—82no—
1387D4—88no—
1388D4—88no—
1389D4—84no—
1390D4—84no—
1391D4—88no—
1392D4—84no—
1393D4—88no—
1394D4—164no—
1395D4—164no—
1396D4—164no—
1397D4—162no—
1398D4—164no—
1399D4—164no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—28no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—48no—
1459C2×C4—48no—
1460C2×C4—84no—
1461C2×C4—88no—
1462C2×C4—88no—
1463C2×C4—88no—
1464C2×C4—88no—
1465C2×C4—84no—
1466C2×C4—84no—
1467C2×C4—162no—
1468C2×C4—164no—
1469C2×C4—162no—
1470C2×C4—162no—
1471C2×C4C22×#4112yes—
1472C2×C4C22×#4118yes—
1473C2×C4C22×#4112yes—
1474C2×C4C2×H(5,𝔽2)14yes—
1475C2×C4C2×H(5,𝔽2)12yes—
1476C2×C4#58512yes—
1477C22—24no—
1478C22—22no—
1479C22—41no—
1480C22—42no—
1481C22—41no—
1482C22—42no—
1483C22—44no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—44no—
1488C22—42no—
1489C22—42no—
1490C22—44no—
1491C22—44no—
1492C22—42no—
1493C22—44no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—44no—
1500C22—42no—
1501C22—44no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—44no—
1506C22—44no—
1507C22—44no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—44no—
1513C22—168no—
1514C22C23×#4111yescharacteristic
1515C22C22×H(5,𝔽2)11yescharacteristic
1516C22C2×#58511yescharacteristic
1517C22H(7,𝔽2)12yes—
1518C22H(7,𝔽2)12yes—
1519C4—24no—
1520C4—28no—
1521C4—22no—
1522C4—41no—
1523C4—41no—
1524C4—42no—
1525C4—44no—
1526C4—42no—
1527C4—42no—
1528C4—44no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—41no—
1533C4—41no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—44no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4#346014yes—
1542C2—42no—
1543C2—82no—
1544C2—84no—
1545C2—82no—
1546C2—82no—
1547C2—82no—
1548C2C2×#346011yescharacteristic
1549C2#6285812yes—
1550C2#6304111yescharacteristic
1551C2#6305112yes—
1552C2#6306611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42986C2semidirect
2. #42955C2semidirect
3. #42952C2semidirect
4. #42625C2semidirect
5. #42624C2semidirect
6. #42584C2semidirect
7. #42578C2semidirect
8. #42217C2semidirect
9. #42073C2semidirect
10. #42035C2semidirect
11. #41249C2semidirect
12. #41246C2semidirect
13. #41222C2semidirect
14. #41212C2semidirect
15. #37626C2semidirect
16. #37583C2semidirect
17. #37513C2semidirect
18. #37493C2semidirect
19. #36696C2semidirect
20. #36670C2semidirect
21. #36022C2semidirect
22. #35978C2semidirect
23. #35941C2semidirect
24. #35882C2semidirect
25. #35830C2semidirect
26. #35752C2semidirect
27. #35741C2semidirect
28. #34301C2semidirect
29. #34275C2semidirect
32. C2×#553C22semidirect
37. #2843C22semidirect
38. #2833C22semidirect
39. #2832C22semidirect
40. #2832C22semidirect
41. #2831C22semidirect
42. #2830C22semidirect
43. #2830C22semidirect
45. #2829C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
56. #2823C22semidirect
58. #2801C22semidirect
59. #2796C22semidirect
60. #2777C22semidirect
63. #2761C22semidirect
64. #2753C22semidirect
66. #2741C22semidirect
67. #2737C22semidirect
68. #2730C22semidirect
69. #2709C22semidirect
70. #2703C22semidirect
71. #2701C22semidirect
72. #2699C22semidirect
74. #2688C22semidirect
78. #2673C22semidirect
79. #2672C22semidirect
81. #2671C22semidirect
84. #2666C22semidirect
85. #2663C22semidirect
87. #2662C22semidirect
89. #2661C22semidirect
90. #2661C22semidirect
91. #2654C22semidirect
92. #2652C22semidirect
93. #2649C22semidirect
95. #2648C22semidirect
98. #2636C22semidirect
102. #2635C22semidirect
107. #2624C22semidirect
108. #2624C22semidirect
112. #2619C22semidirect
113. #2619C22semidirect
116. #2601C22semidirect
118. #2597C22semidirect
119. #2595C22semidirect
120. #2584C22semidirect
122. #2578C22semidirect
123. #2576C22semidirect
124. #2572C22semidirect
125. #2571C22semidirect
126. #2559C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2555C22semidirect
130. #2555C22semidirect
131. #2550C22semidirect
132. #2544C22semidirect
133. #2543C22semidirect
141. #2537C22semidirect
143. #2516C22semidirect
144. #2515C22semidirect
146. #2508C22semidirect
147. #2508C22semidirect
148. #2500C22semidirect
149. #2495C22semidirect
150. #2491C22semidirect
154. #2485C22semidirect
156. #2477C22semidirect
157. #2476C22semidirect
158. #2476C22semidirect
160. #2471C22semidirect
161. #2471C22semidirect
162. #2470C22semidirect
163. #2469C22semidirect
166. #2464C22semidirect
168. #2458C22semidirect
170. #2454C22semidirect
173. #2444C22semidirect
175. #2442C22semidirect
176. #2441C22semidirect
178. #2430C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
190. #2420C22semidirect
191. #2420C22semidirect
192. #2420C22semidirect
193. #2419C22semidirect
198. #2416C22semidirect
200. #2414C22semidirect
203. #2401C22semidirect
204. #2398C22semidirect
207. #2395C22semidirect
208. #2395C22semidirect
210. #2392C22semidirect
211. #2392C22semidirect
212. #2392C22semidirect
213. #2392C22semidirect
216. #2388C22semidirect
217. #2373C22semidirect
218. #2370C22semidirect
225. #2363C22semidirect
228. #2361C22semidirect
235. #2354C22semidirect
236. #2353C22semidirect
237. #2352C22semidirect
239. #2344C22semidirect
240. #2344C22semidirect
243. #2330C22semidirect
246. #2324C22semidirect
249. C4×#126C22semidirect
253. #2293C22semidirect
256. #2275C22semidirect
257. #2274C22semidirect
851. #117#41semidirect

Maximal subgroups

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

subgroupindex
#429862
#429552
#429522
#426252
#426242
#425842
#425782
#422172
#420732
#420352
#412492
#412462
#412222
#412122
#376262
#375832
#375132
#374932
#366962
#366702
#360222
#359782
#359412
#358822
#358302
#357522
#357412
#343012
#342752