Finite Group Databasebeta

← #7658343

Subgroups — #7658343

Order 512.

4860 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42715C212yesmaximal, complemented
2#42673C211yesmaximal, characteristic, complemented
3#42631C212yesmaximal, complemented
4#42602C212yesmaximal, complemented
5#42551C212yesmaximal, complemented
6#42490C211yesmaximal, characteristic, complemented
7#42435C212yesmaximal, complemented
8#41790C214yesmaximal, complemented
9#41604C212yesmaximal, complemented
10#41317C214yesmaximal, complemented
11#41286C214yesmaximal, complemented
12#41177C214yesmaximal, complemented
13#41063C214yesmaximal, complemented
14#40959C212yesmaximal, complemented
15#37526C211yesmaximal, characteristic, complemented
16#37500C212yesmaximal, complemented
17#37486C212yesmaximal, complemented
18#37458C214yesmaximal, complemented
19#36676C212yesmaximal, complemented
20#36662C211yesmaximal, characteristic, complemented
21#35973C212yesmaximal, complemented
22#35882C212yesmaximal, complemented
23#35846C211yesmaximal, characteristic, complemented
24#35787C212yesmaximal, complemented
25#35724C212yesmaximal, complemented
26#35720C212yesmaximal, complemented
27#35701C211yesmaximal, characteristic, complemented
28#34288C212yesmaximal, complemented
29#34265C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#554C2211yescharacteristic, complemented
32C2×#546C2212yes—
33C2×#535C2211yescharacteristic
34C2×#520C2211yescharacteristic
35C2×#520C2212yes—
36C22×C4×D4C2211yescharacteristic
37#2842C2212yes—
38#2839C2212yescomplemented
39#2838C2212yescomplemented
40#2837C2212yescomplemented
41#2836C2212yescomplemented
42#2835C2211yescharacteristic
43#2835C2212yes—
44#2834C2211yescharacteristic
45#2834C2212yes—
46#2827C2212yes—
47#2827C2212yes—
48#2827C2214yes—
49#2827C2214yescomplemented
50#2827C2214yescomplemented
51#2827C2214yescomplemented
52#2826C2211yescharacteristic
53#2826C2214yes—
54#2825C2214yescomplemented
55#2824C2211yescharacteristic
56#2812C2214yes—
57#2812C2212yes—
58#2796C2214yescomplemented
59#2784C2212yes—
60#2780C2214yes—
61#2779C2214yescomplemented
62#2771C2214yescomplemented
63#2765C2214yescomplemented
64#2761C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2747C2214yescomplemented
68#2744C2214yescomplemented
69#2741C2214yescomplemented
70#2740C2214yescomplemented
71#2740C2214yescomplemented
72#2728C2214yescomplemented
73#2724C2212yes—
74#2723C2214yescomplemented
75#2714C2214yescomplemented
76#2708C2214yes—
77#2708C2214yes—
78#2701C2214yes—
79#2699C2212yes—
80#2688C2214yes—
81#2687C2214yescomplemented
82#2683C2212yes—
83#2671C2214yes—
84#2666C2214yescomplemented
85#2655C2214yescomplemented
86#2652C2214yes—
87#2652C2214yescomplemented
88#2652C2214yescomplemented
89#2652C2214yescomplemented
90#2649C2214yes—
91#2649C2214yescomplemented
92#2649C2214yescomplemented
93#2649C2214yescomplemented
94#2648C2214yes—
95#2646C2214yescomplemented
96#2644C2212yescomplemented
97#2643C2214yescomplemented
98#2642C2212yescomplemented
99#2638C2212yes—
100#2638C2214yescomplemented
101#2638C2214yescomplemented
102#2636C2214yescomplemented
103#2636C2214yescomplemented
104#2633C2212yes—
105#2628C2211yescharacteristic
106#2627C2214yescomplemented
107#2626C2214yes—
108#2625C2212yes—
109#2625C2212yescomplemented
110#2623C2214yescomplemented
111#2622C2214yes—
112#2622C2214yes—
113#2621C2211yescharacteristic
114#2620C2212yescomplemented
115#2617C2214yes—
116#2611C2212yescomplemented
117#2609C2214yescomplemented
118#2601C2214yescomplemented
119#2600C2214yescomplemented
120#2598C2212yescomplemented
121#2597C2214yescomplemented
122#2597C2214yescomplemented
123#2590C2214yescomplemented
124#2587C2214yescomplemented
125#2583C2212yescomplemented
126#2581C2211yescharacteristic, complemented
127#2577C2214yescomplemented
128#2576C2214yescomplemented
129#2575C2214yescomplemented
130#2573C2214yescomplemented
131#2566C2212yes—
132#2547C2212yes—
133#2546C2211yescharacteristic, complemented
134#2544C2212yes—
135#2542C2211yescharacteristic, complemented
136#2538C2212yes—
137#2535C2211yescharacteristic, complemented
138#2530C2214yescomplemented
139#2523C2212yes—
140#2517C2214yes—
141#2517C2212yes—
142#2515C2214yescomplemented
143#2514C2212yescomplemented
144#2511C2212yescomplemented
145#2511C2212yescomplemented
146#2509C2214yescomplemented
147#2508C2212yescomplemented
148#2507C2212yescomplemented
149#2505C2214yescomplemented
150#2505C2214yescomplemented
151#2496C2212yescomplemented
152#2493C2214yescomplemented
153#2490C2212yescomplemented
154#2489C2212yescomplemented
155#2484C2212yescomplemented
156#2483C2212yes—
157#2481C2214yescomplemented
158#2481C2214yescomplemented
159#2478C2214yescomplemented
160#2478C2214yescomplemented
161#2477C2214yescomplemented
162#2475C2214yescomplemented
163#2473C2214yescomplemented
164#2471C2214yescomplemented
165#2467C2214yescomplemented
166#2466C2214yes—
167#2466C2214yes—
168#2463C2214yes—
169#2463C2214yescomplemented
170#2454C2212yes—
171#2452C2212yes—
172#2451C2212yescomplemented
173#2449C2214yescomplemented
174#2449C2214yescomplemented
175#2449C2214yescomplemented
176#2449C2214yescomplemented
177#2448C2212yescomplemented
178#2447C2212yes—
179#2447C2212yes—
180#2447C2212yescomplemented
181#2446C2212yescomplemented
182#2445C2212yes—
183#2444C2214yescomplemented
184#2444C2214yescomplemented
185#2441C2212yes—
186#2437C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2432C2212yes—
190#2431C2212yes—
191#2429C2212yescomplemented
192#2428C2212yes—
193#2427C2212yes—
194#2423C2212yescomplemented
195#2420C2212yes—
196#2420C2214yescomplemented
197#2419C2214yescomplemented
198#2415C2212yes—
199#2415C2214yescomplemented
200#2412C2214yes—
201#2407C2212yes—
202#2407C2212yes—
203#2402C2212yescomplemented
204#2401C2212yescomplemented
205#2401C2214yescomplemented
206#2397C2212yes—
207#2396C2211yescharacteristic
208#2396C2212yescomplemented
209#2395C2212yes—
210#2395C2212yes—
211#2395C2214yes—
212#2395C2212yescomplemented
213#2392C2211yescharacteristic
214#2392C2214yescomplemented
215#2392C2214yescomplemented
216#2392C2214yescomplemented
217#2370C2212yescomplemented
218#2367C2212yes—
219#2367C2212yes—
220#2367C2212yes—
221#2366C2212yes—
222#2366C2212yes—
223#2365C2212yescomplemented
224#2363C2214yes—
225#2361C2212yes—
226#2361C2214yes—
227#2361C2214yes—
228#2361C2212yescomplemented
229#2360C2212yes—
230#2360C2212yescomplemented
231#2359C2214yes—
232#2358C2214yes—
233#2357C2211yescharacteristic, complemented
234#2356C2211yescharacteristic, complemented
235#2355C2212yescomplemented
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2212yes—
238#2344C2212yescomplemented
239#2342C2214yes—
240#2339C2212yes—
241D4×C22⋊C4C2212yes—
242#2326C2212yes—
243#2325C2214yes—
244#2324C2212yes—
245#2322C2214yes—
246#2321C2212yes—
247#2321C2212yes—
248#2309C2211yescharacteristic
249C4×C22⋊Q8C2212yes—
250C4×#120C2214yes—
251C4×#120C2212yes—
252C4×#120C2212yes—
253#2297C2211yescharacteristic
254#2296C2211yescharacteristic
255#2290C2212yes—
256C2×#385C2214yes—
257#2275C2212yes—
258#2274C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C24×C4C2312yes—
263#556—44no—
264#554—44no—
265#546—216no—
266#535—28no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2312yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#125C2312yes—
274C2×#125C2312yes—
275C2×#124C2312yes—
276C2×#124C2312yes—
277C2×#124C2312yes—
278C2×#123C2314yes—
279C2×#123C2314yes—
280C2×C22⋊Q8C2312yes—
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×#121C2312yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2312yes—
292C2×#121C2314yes—
293C2×#120C2312yes—
294C2×#120C2312yes—
295C2×#120C2314yes—
296#520—44no—
297#520—48no—
298C2×C4×Q8C2312yes—
299C2×C4×Q8C2311yescharacteristic
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2312yes—
303C2×C4×D4—44no—
304C2×C4×D4C2312yes—
305C2×C4×D4C2312yes—
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2314yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×#117C2311yescharacteristic
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2312yes—
328C2×#117C2314yes—
329C2×#117C2312yes—
330C2×#117C2312yes—
331C2×#117C2314yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2314yes—
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2314yes—
337C22×C22⋊C4C2314yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2314yes—
340C22×C42C2311yescharacteristic
341#401C2314yes—
342#401C2312yes—
343#400C2312yes—
344#400C2312yes—
345#400C2314yes—
346#400C2314yes—
347#400C2312yes—
348#400C2312yes—
349#400C2312yes—
350#400C2312yes—
351#400C2314yes—
352#400C2314yes—
353#400C2312yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2311yescharacteristic
366#400C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#399C2311yescharacteristic
372#399C2314yes—
373#399C2312yes—
374#399C2312yes—
375#399C2314yes—
376#399C2312yes—
377#399C2314yes—
378#399C2312yes—
379#399C2312yes—
380#399C2312yes—
381#399C2314yes—
382#398C2312yes—
383#398C2312yes—
384#398C2312yes—
385#398C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2312yes—
395#398C2312yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2311yescharacteristic
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#397C2312yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2312yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2311yescharacteristic
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#395C2312yes—
457#395C2314yes—
458#395C2312yes—
459#395C2311yescharacteristic
460#395C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2311yescharacteristic
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#393C2311yescharacteristic
487#393C2312yes—
488#393C2312yes—
489#393C2314yes—
490#392C2311yescharacteristic
491#392C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#386C2312yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2312yes—
594#386C2312yes—
595#386C2314yes—
596#386C2314yes—
597#386C2312yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2311yescharacteristic
618#385C2314yes—
619#385C2311yescharacteristic
620#385C2312yes—
621#385C2311yescharacteristic
622#385C2311yescharacteristic
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#384C2312yes—
652#384C2312yes—
653#383C2314yes—
654#383C2312yes—
655#382C2311yescharacteristic
656#382C2314yes—
657#382C2314yes—
658#382C2311yescharacteristic
659#382C2314yes—
660#381C2314yes—
661#381C2314yes—
662#381C2314yes—
663#381C2314yes—
664#381C2312yes—
665#381C2314yes—
666#381C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#379C2312yes—
677#379C2312yes—
678#379C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715#376C2312yes—
716#376C2312yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C25C2412yes—
720C2×#41—28no—
721C2×#41—24no—
722C2×#41—42no—
723C2×#41—44no—
724C2×#41—42no—
725C2×#41—44no—
726C22×Q8C2412yes—
727C22×Q8C2411yescharacteristic
728C22×Q8C2411yescharacteristic
729C22×Q8C2412yes—
730C22×D4—42no—
731C22×D4—42no—
732C22×D4#4118yes—
733C22×D4C2411yescharacteristic
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2411yescharacteristic
742C22×D4C2414yes—
743C22×D4C2412yes—
744C23×C4—44no—
745C23×C4—84no—
746C23×C4C2412yes—
747C23×C4C2411yescharacteristic
748C23×C4C2414yes—
749C23×C4C2412yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2414yes—
755C23×C4C2411yescharacteristic
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2412yes—
759C23×C4C2414yes—
760C23×C4C2411yescharacteristic
761C4⋊Q8—42no—
762C4⋊Q8—44no—
763C4⋊Q8—42no—
764#127—28no—
765#126—48no—
766#126—84no—
767#125—44no—
768#125—44no—
769#124—28no—
770#124—28no—
771#124—44no—
772#123—216no—
773#123—84no—
774C22⋊Q8—28no—
775C22⋊Q8—48no—
776C22⋊Q8—44no—
777C22⋊Q8—44no—
778C22⋊Q8—44no—
779C22⋊Q8—84no—
780C22⋊Q8—84no—
781C22⋊Q8—84no—
782#121—216no—
783#121—28no—
784#121—216no—
785#121—44no—
786#121—84no—
787#120—28no—
788#120—28no—
789#120—216no—
790C4×Q8—24no—
791C4×Q8—28no—
792C4×Q8—42no—
793C4×Q8—44no—
794C4×Q8—42no—
795C4×D4—28no—
796C4×D4—28no—
797C4×D4—28no—
798C4×D4—24no—
799C4×D4—44no—
800C4×D4—44no—
801C4×D4—42no—
802C4×D4—44no—
803C4×D4—48no—
804C4×D4—44no—
805C4×D4—44no—
806C4×D4—42no—
807C4×D4—48no—
808C4×D4—48no—
809C4×D4—44no—
810C4×D4—84no—
811C4×D4—84no—
812C4×D4—84no—
813C4×D4—84no—
814C4×D4—84no—
815#117—24no—
816#117—44no—
817#117—42no—
818#117—44no—
819#117—48no—
820#117—44no—
821#117—42no—
822#117—84no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—28no—
825C2×C4⋊C4—44no—
826C2×C4⋊C4—48no—
827C2×C4⋊C4—84no—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C22⋊C4—216no—
886C2×C22⋊C4—44no—
887C2×C22⋊C4—84no—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2411yescharacteristic
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2411yescharacteristic
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C42—42no—
944C2×C42C2414yes—
945C2×C42C2412yes—
946C2×C42C2411yescharacteristic
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2411yescharacteristic
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2412yes—
958C2×C42C2414yes—
959C2×C42C2412yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962#95C2412yes—
963#95C2412yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2411yescharacteristic
971#95C2412yes—
972#95C2412yes—
973#95C2412yes—
974#95C2414yes—
975#95C2412yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2411yescharacteristic
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2411yescharacteristic
1002#95C2414yes—
1003#95C2414yes—
1004#95C2411yescharacteristic
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030C24—42no—
1031C24—44no—
1032C24—42no—
1033C24—44no—
1034C24C2×#4118yes—
1035C24C2512yes—
1036C24C2512yes—
1037C24C2511yescharacteristic
1038C24C2514yes—
1039#41—416no—
1040#41—432no—
1041C2×Q8—24no—
1042C2×Q8—22no—
1043C2×Q8—22no—
1044C2×Q8—24no—
1045C2×Q8—24no—
1046C2×Q8—22no—
1047C2×Q8—41no—
1048C2×Q8—42no—
1049C2×Q8—42no—
1050C2×Q8—44no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—28no—
1054C2×D4—28no—
1055C2×D4—28no—
1056C2×D4—28no—
1057C2×D4—22no—
1058C2×D4—24no—
1059C2×D4—22no—
1060C2×D4—24no—
1061C2×D4—22no—
1062C2×D4—416no—
1063C2×D4—41no—
1064C2×D4—42no—
1065C2×D4—44no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—44no—
1072C2×D4—42no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4C2×#4118yes—
1083C2×D4C2×#4118yes—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—28no—
1087C22×C4—28no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—28no—
1094C22×C4—24no—
1095C22×C4—28no—
1096C22×C4—41no—
1097C22×C4—42no—
1098C22×C4—44no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—44no—
1102C22×C4—41no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—42no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—42no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—816no—
1124C22×C4C2×#4114yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2514yes—
1128C22×C4C2514yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2511yescharacteristic
1134C22×C4C2512yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2511yescharacteristic
1140C22×C4C2512yes—
1141C22×C4C2514yes—
1142C22×C4C2512yes—
1143C22×C4C2511yescharacteristic
1144C22×C4C2512yes—
1145C22×C4C2511yescharacteristic
1146C22×C4C2514yes—
1147C22×C4C2511yescharacteristic
1148C22×C4C2512yes—
1149C22×C4C2511yescharacteristic
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—24no—
1153C4⋊C4—28no—
1154C4⋊C4—24no—
1155C4⋊C4—28no—
1156C4⋊C4—22no—
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—28no—
1160C4⋊C4—24no—
1161C4⋊C4—24no—
1162C4⋊C4—41no—
1163C4⋊C4—42no—
1164C4⋊C4—44no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—41no—
1181C4⋊C4—42no—
1182C4⋊C4—41no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—41no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—42no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—42no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4H(5,𝔽2)14yes—
1207C22⋊C4—24no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—24no—
1218C22⋊C4—28no—
1219C22⋊C4—24no—
1220C22⋊C4—44no—
1221C22⋊C4—42no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—42no—
1230C22⋊C4—44no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—44no—
1237C22⋊C4—41no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—41no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4—44no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—42no—
1262C42—24no—
1263C42—24no—
1264C42—24no—
1265C42—28no—
1266C42—22no—
1267C42—24no—
1268C42—22no—
1269C42—24no—
1270C42—24no—
1271C42—42no—
1272C42—44no—
1273C42—42no—
1274C42—44no—
1275C42—42no—
1276C42—44no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C23—24no—
1281C23—21no—
1282C23—21no—
1283C23—24no—
1284C23—24no—
1285C23—22no—
1286C23—24no—
1287C23—24no—
1288C23—24no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—24no—
1298C23—22no—
1299C23—22no—
1300C23—24no—
1301C23—22no—
1302C23—48no—
1303C23—416no—
1304C23—84no—
1305C23—84no—
1306C23—88no—
1307C23C22×#4112yes—
1308C23C22×#4118yes—
1309C23C2611yescharacteristic
1310Q8—48no—
1311Q8—44no—
1312Q8—82no—
1313Q8—162no—
1314D4—216no—
1315D4—48no—
1316D4—48no—
1317D4—48no—
1318D4—416no—
1319D4—44no—
1320D4—44no—
1321D4—88no—
1322D4—88no—
1323D4—88no—
1324D4—88no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—24no—
1328C2×C4—28no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—24no—
1337C2×C4—22no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—24no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—24no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—48no—
1391C2×C4—416no—
1392C2×C4—44no—
1393C2×C4—48no—
1394C2×C4—84no—
1395C2×C4—88no—
1396C2×C4—88no—
1397C2×C4—84no—
1398C2×C4—88no—
1399C2×C4—82no—
1400C2×C4—88no—
1401C2×C4—162no—
1402C2×C4—164no—
1403C2×C4—164no—
1404C2×C4C22×#4112yes—
1405C2×C4C22×#4112yes—
1406C2×C4C2×H(5,𝔽2)14yes—
1407C2×C4C2×H(5,𝔽2)12yes—
1408C2×C4#58512yes—
1409C22—28no—
1410C22—24no—
1411C22—28no—
1412C22—22no—
1413C22—28no—
1414C22—41no—
1415C22—44no—
1416C22—41no—
1417C22—44no—
1418C22—44no—
1419C22—44no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—44no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—44no—
1431C22—42no—
1432C22—42no—
1433C22—816no—
1434C22C23×#4111yescharacteristic
1435C22C22×H(5,𝔽2)11yescharacteristic
1436C22C2×#58511yescharacteristic
1437C22H(7,𝔽2)12yes—
1438C222−1+612yes—
1439C4—24no—
1440C4—22no—
1441C4—42no—
1442C4—42no—
1443C4—41no—
1444C4—44no—
1445C4—42no—
1446C4—41no—
1447C4—42no—
1448C4—41no—
1449C4—42no—
1450C4—41no—
1451C4—42no—
1452C4—44no—
1453C4—42no—
1454C4—44no—
1455C4—42no—
1456C4—44no—
1457C4—42no—
1458C4—42no—
1459C4—42no—
1460C4—42no—
1461C4—42no—
1462C4—44no—
1463C4#345914yes—
1464C2—48no—
1465C2—42no—
1466C2—82no—
1467C2—82no—
1468C2C2×#345911yescharacteristic
1469C2#6284712yes—
1470C2#6304111yescharacteristic
1471C2#6304411yescharacteristic
1472C2#6305612yes—
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. #42715C2semidirect
2. #42673C2semidirect
3. #42631C2semidirect
4. #42602C2semidirect
5. #42551C2semidirect
6. #42490C2semidirect
7. #42435C2semidirect
8. #41790C2semidirect
9. #41604C2semidirect
10. #41317C2semidirect
11. #41286C2semidirect
12. #41177C2semidirect
13. #41063C2semidirect
14. #40959C2semidirect
15. #37526C2semidirect
16. #37500C2semidirect
17. #37486C2semidirect
18. #37458C2semidirect
19. #36676C2semidirect
20. #36662C2semidirect
21. #35973C2semidirect
22. #35882C2semidirect
23. #35846C2semidirect
24. #35787C2semidirect
25. #35724C2semidirect
26. #35720C2semidirect
27. #35701C2semidirect
28. #34288C2semidirect
29. #34265C2semidirect
30. C2×#556C22semidirect
31. C2×#554C22semidirect
38. #2839C22semidirect
39. #2838C22semidirect
40. #2837C22semidirect
41. #2836C22semidirect
49. #2827C22semidirect
50. #2827C22semidirect
51. #2827C22semidirect
54. #2825C22semidirect
58. #2796C22semidirect
61. #2779C22semidirect
62. #2771C22semidirect
63. #2765C22semidirect
64. #2761C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2747C22semidirect
68. #2744C22semidirect
69. #2741C22semidirect
70. #2740C22semidirect
71. #2740C22semidirect
72. #2728C22semidirect
74. #2723C22semidirect
75. #2714C22semidirect
81. #2687C22semidirect
84. #2666C22semidirect
85. #2655C22semidirect
87. #2652C22semidirect
88. #2652C22semidirect
89. #2652C22semidirect
91. #2649C22semidirect
92. #2649C22semidirect
93. #2649C22semidirect
95. #2646C22semidirect
96. #2644C22semidirect
97. #2643C22semidirect
98. #2642C22semidirect
100. #2638C22semidirect
101. #2638C22semidirect
102. #2636C22semidirect
103. #2636C22semidirect
106. #2627C22semidirect
109. #2625C22semidirect
110. #2623C22semidirect
114. #2620C22semidirect
116. #2611C22semidirect
117. #2609C22semidirect
118. #2601C22semidirect
119. #2600C22semidirect
120. #2598C22semidirect
121. #2597C22semidirect
122. #2597C22semidirect
123. #2590C22semidirect
124. #2587C22semidirect
125. #2583C22semidirect
126. #2581C22semidirect
127. #2577C22semidirect
128. #2576C22semidirect
129. #2575C22semidirect
130. #2573C22semidirect
133. #2546C22semidirect
135. #2542C22semidirect
137. #2535C22semidirect
138. #2530C22semidirect
142. #2515C22semidirect
143. #2514C22semidirect
144. #2511C22semidirect
145. #2511C22semidirect
146. #2509C22semidirect
147. #2508C22semidirect
148. #2507C22semidirect
149. #2505C22semidirect
150. #2505C22semidirect
151. #2496C22semidirect
152. #2493C22semidirect
153. #2490C22semidirect
154. #2489C22semidirect
155. #2484C22semidirect
157. #2481C22semidirect
158. #2481C22semidirect
159. #2478C22semidirect
160. #2478C22semidirect
161. #2477C22semidirect
162. #2475C22semidirect
163. #2473C22semidirect
164. #2471C22semidirect
165. #2467C22semidirect
169. #2463C22semidirect
172. #2451C22semidirect
173. #2449C22semidirect
174. #2449C22semidirect
175. #2449C22semidirect
176. #2449C22semidirect
177. #2448C22semidirect
180. #2447C22semidirect
181. #2446C22semidirect
183. #2444C22semidirect
184. #2444C22semidirect
191. #2429C22semidirect
194. #2423C22semidirect
196. #2420C22semidirect
197. #2419C22semidirect
199. #2415C22semidirect
203. #2402C22semidirect
204. #2401C22semidirect
205. #2401C22semidirect
208. #2396C22semidirect
212. #2395C22semidirect
214. #2392C22semidirect
215. #2392C22semidirect
216. #2392C22semidirect
217. #2370C22semidirect
223. #2365C22semidirect
228. #2361C22semidirect
230. #2360C22semidirect
233. #2357C22semidirect
234. #2356C22semidirect
235. #2355C22semidirect
238. #2344C22semidirect

Maximal subgroups

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

subgroupindex
#427152
#426732
#426312
#426022
#425512
#424902
#424352
#417902
#416042
#413172
#412862
#411772
#410632
#409592
#375262
#375002
#374862
#374582
#366762
#366622
#359732
#358822
#358462
#357872
#357242
#357202
#357012
#342882
#342652