Finite Group Databasebeta

← #8175752

Subgroups — #8175752

Order 512.

5134 conjugacy classes of subgroups.

The subgroup lattice has 1491 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59129C212yesmaximal, complemented
2#59034C212yesmaximal, complemented
3#56436C214yesmaximal, complemented
4#56324C214yesmaximal, complemented
5#55915C214yesmaximal, complemented
6#55155C214yesmaximal, complemented
7#53074C211yesmaximal, characteristic, complemented
8#53030C211yesmaximal, characteristic, complemented
9#52986C211yesmaximal, characteristic, complemented
10#52985C211yesmaximal, characteristic, complemented
11#52646C214yesmaximal, complemented
12#43367C214yesmaximal, complemented
13#42523C212yesmaximal, complemented
14#42478C212yesmaximal, complemented
15#41074C214yesmaximal, complemented
16#40936C214yesmaximal, complemented
17#40008C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#39273C212yesmaximal, complemented
20#38082C212yesmaximal, complemented
21#38033C212yesmaximal, complemented
22#37493C212yesmaximal, complemented
23#37406C212yesmaximal, complemented
24#36360C212yesmaximal, complemented
25#35271C211yesmaximal, characteristic, complemented
26#34876C211yesmaximal, characteristic, complemented
27#34637C211yesmaximal, characteristic, complemented
28C2×#550C2212yes—
29C2×#547C2212yes—
30C2×#546C2212yescomplemented
31C2×#546C2212yescomplemented
32C2×#533C2211yescharacteristic, complemented
33C2×#532C2211yescharacteristic
34C2×#529C2211yescharacteristic, complemented
35C2×C4×#41C2211yescharacteristic
36#2856C2211yescharacteristic
37#2855C2212yescomplemented
38#2854C2212yescomplemented
39#2851C2211yescharacteristic, complemented
40#2850C2212yes—
41#2841C2214yescomplemented
42#2839C2214yescomplemented
43#2832C2214yescomplemented
44#2829C2214yescomplemented
45#2828C2214yes—
46#2828C2214yescomplemented
47#2828C2214yescomplemented
48#2827C2214yescomplemented
49#2824C2214yescomplemented
50#2824C2214yescomplemented
51#2816C2214yescomplemented
52#2812C2214yes—
53#2808C2214yescomplemented
54#2787C2214yescomplemented
55#2782C2214yescomplemented
56#2781C2214yescomplemented
57#2780C2214yescomplemented
58#2779C2214yescomplemented
59#2778C2214yescomplemented
60#2778C2214yescomplemented
61#2773C2214yescomplemented
62#2770C2214yescomplemented
63#2753C2214yescomplemented
64#2752C2214yescomplemented
65#2751C2214yescomplemented
66#2750C2214yescomplemented
67#2749C2214yescomplemented
68#2749C2214yescomplemented
69#2746C2214yescomplemented
70#2743C2214yes—
71#2741C2214yescomplemented
72#2741C2214yescomplemented
73#2739C2214yescomplemented
74#2737C2214yescomplemented
75#2717C2214yescomplemented
76#2709C2214yescomplemented
77#2708C2214yescomplemented
78#2706C2214yes—
79#2706C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2703C2214yescomplemented
83#2696C2214yescomplemented
84#2696C2214yescomplemented
85#2696C2214yescomplemented
86#2696C2214yescomplemented
87#2688C2214yescomplemented
88#2679C2214yes—
89#2678C2214yes—
90#2678C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2672C2214yescomplemented
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2670C2214yes—
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2668C2214yescomplemented
101#2661C2214yescomplemented
102#2661C2214yescomplemented
103#2653C2214yescomplemented
104#2652C2214yescomplemented
105#2648C2214yescomplemented
106#2647C2211yescharacteristic, complemented
107#2644C2212yescomplemented
108#2642C2211yescharacteristic, complemented
109#2642C2211yescharacteristic, complemented
110#2641C2211yescharacteristic
111#2641C2211yescharacteristic
112#2641C2211yescharacteristic
113#2640C2212yescomplemented
114#2640C2212yescomplemented
115#2639C2214yescomplemented
116#2639C2214yescomplemented
117#2632C2214yescomplemented
118#2626C2214yescomplemented
119#2624C2212yescomplemented
120#2622C2214yescomplemented
121#2619C2212yes—
122#2617C2214yescomplemented
123#2615C2214yes—
124#2611C2212yescomplemented
125#2610C2212yescomplemented
126#2604C2212yescomplemented
127#2603C2212yes—
128#2602C2214yescomplemented
129#2602C2214yescomplemented
130#2592C2212yescomplemented
131#2581C2212yescomplemented
132#2580C2212yescomplemented
133#2580C2214yescomplemented
134#2578C2214yescomplemented
135#2576C2214yescomplemented
136#2564C2212yescomplemented
137#2563C2212yescomplemented
138#2563C2212yescomplemented
139#2559C2214yescomplemented
140#2555C2214yescomplemented
141#2548C2212yes—
142#2544C2212yes—
143#2543C2212yescomplemented
144#2540C2212yes—
145#2539C2214yescomplemented
146#2536C2214yescomplemented
147#2531C2214yescomplemented
148#2526C2214yescomplemented
149#2517C2214yescomplemented
150#2514C2212yescomplemented
151#2513C2212yescomplemented
152#2504C2212yescomplemented
153#2503C2212yescomplemented
154#2498C2212yescomplemented
155#2490C2212yes—
156#2490C2212yes—
157#2490C2212yescomplemented
158#2489C2212yescomplemented
159#2476C2214yescomplemented
160#2471C2214yes—
161#2467C2214yescomplemented
162#2464C2214yescomplemented
163#2460C2214yescomplemented
164#2458C2214yescomplemented
165#2458C2214yescomplemented
166#2458C2214yescomplemented
167#2458C2214yescomplemented
168#2458C2214yescomplemented
169#2456C2214yes—
170#2455C2214yescomplemented
171#2448C2212yescomplemented
172#2445C2212yes—
173#2444C2214yescomplemented
174#2442C2212yescomplemented
175#2442C2212yescomplemented
176#2433C2212yes—
177#2433C2212yes—
178#2432C2212yescomplemented
179#2431C2212yes—
180#2430C2212yes—
181#2429C2212yescomplemented
182#2428C2212yes—
183#2428C2214yescomplemented
184#2425C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2423C2212yescomplemented
189#2422C2212yescomplemented
190#2421C2214yescomplemented
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2417C2212yes—
194#2417C2212yescomplemented
195#2416C2212yes—
196#2416C2212yescomplemented
197#2414C2212yes—
198#2414C2212yescomplemented
199#2412C2214yescomplemented
200#2412C2214yescomplemented
201#2408C2212yes—
202#2408C2212yescomplemented
203#2407C2212yes—
204#2407C2212yes—
205#2407C2214yescomplemented
206#2407C2212yescomplemented
207#2407C2212yescomplemented
208#2404C2214yes—
209#2404C2214yes—
210#2404C2214yescomplemented
211#2404C2214yescomplemented
212#2399C2211yescharacteristic, complemented
213#2398C2211yescharacteristic
214#2398C2211yescharacteristic, complemented
215#2398C2214yescomplemented
216#2398C2214yescomplemented
217#2397C2211yescharacteristic
218#2367C2212yescomplemented
219#2365C2212yescomplemented
220#2358C2214yes—
221#2358C2214yescomplemented
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224#2342C2214yescomplemented
225#2341C2214yescomplemented
226#2333C2214yescomplemented
227#2330C2211yescharacteristic, complemented
228#2328C2211yescharacteristic
229#2323C2212yescomplemented
230#2321C2214yescomplemented
231#2319C2212yescomplemented
232#2311C2212yescomplemented
233C4×#121C2212yes—
234C4×#121C2212yescomplemented
235C4×#121C2212yescomplemented
236C4×#121C2212yescomplemented
237#2297C2212yescomplemented
238#2297C2212yescomplemented
239C2×#390C2212yescomplemented
240#2290C2212yescomplemented
241#2290C2212yescomplemented
242C2×#376C2211yescharacteristic, complemented
243C22×#41C2312yes—
244C22×#41C2312yes—
245C22×#41C2311yescharacteristic
246C22×#41C2314yes—
247C23×D4C2312yes—
248#550—48no—
249#547—48no—
250#546—48no—
251#546—48no—
252#533—44no—
253#532—44no—
254C2×C4⋊Q8C2312yes—
255C2×C4⋊Q8C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#127C2312yes—
258C2×#127C2311yescharacteristic
259C2×#127C2314yes—
260#529—44no—
261C2×#126C2312yes—
262C2×#125C2311yescharacteristic
263C2×#125C2311yescharacteristic
264C2×#125C2311yescharacteristic
265C2×#125C2311yescharacteristic
266C2×#124C2312yes—
267C2×#124C2312yes—
268C2×#124C2311yescharacteristic
269C2×#124C2314yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×#123C2312yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×C22⋊Q8C2314yes—
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2312yes—
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2314yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2312yes—
288C2×#121C2312yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2314yes—
296C2×#121C2312yes—
297C2×#121C2314yes—
298C2×#121C2311yescharacteristic
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#120C2314yes—
303C2×#120C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C4×#41—44no—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2314yes—
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2314yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2314yes—
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×#117C2312yes—
332C2×#117C2312yes—
333C2×#117C2312yes—
334C2×#117C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2312yes—
337C22×C22⋊C4C2314yes—
338C22×C22⋊C4C2314yes—
339C22×C22⋊C4C2314yes—
340C22×C22⋊C4C2314yes—
341C22×C42C2311yescharacteristic
342C22×C42C2311yescharacteristic
343C22×C42C2312yes—
344C22×C42C2311yescharacteristic
345#401C2314yes—
346#400C2312yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2312yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#399C2312yes—
361#399C2314yes—
362#399C2312yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2312yes—
375#398C2312yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2312yes—
390#397C2312yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#395C2312yes—
404#395C2312yes—
405#395C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2312yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2312yes—
447#393C2312yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2312yes—
465#392C2312yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#388C2314yes—
518#388C2314yes—
519#388C2312yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2312yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#387C2312yes—
554#387C2312yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2312yes—
568#387C2312yes—
569#387C2314yes—
570#386C2312yes—
571#386C2312yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2312yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2312yes—
597#386C2312yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#385C2312yes—
610#385C2312yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2312yes—
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#384C2311yescharacteristic
628#383C2314yes—
629#382C2312yes—
630#382C2312yes—
631#382C2314yes—
632#382C2314yes—
633#382C2311yescharacteristic
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#380C2312yes—
639#380C2314yes—
640#380C2312yes—
641#380C2312yes—
642#380C2314yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yes—
652#380C2312yes—
653#380C2314yes—
654#379C2314yes—
655#379C2314yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C22⋊C4C2314yes—
662C4×C22⋊C4C2314yes—
663C4×C22⋊C4C2314yes—
664C4×C22⋊C4C2314yes—
665C4×C22⋊C4C2314yes—
666C4×C22⋊C4C2314yes—
667C4×C22⋊C4C2314yes—
668C4×C22⋊C4C2314yes—
669C4×C22⋊C4C2314yes—
670C4×C22⋊C4C2312yes—
671C4×C22⋊C4C2312yes—
672C4×C22⋊C4C2312yes—
673C4×C22⋊C4C2312yes—
674#376C2311yescharacteristic
675#376C2311yescharacteristic
676#376C2312yes—
677#376C2312yes—
678#376C2311yescharacteristic
679#376C2311yescharacteristic
680C2×#95C2312yes—
681C2×#95C2312yes—
682C25C2414yes—
683C2×#41—28no—
684C2×#41—42no—
685C2×#41—44no—
686C2×#41—48no—
687C2×#41—44no—
688C2×#41—44no—
689C2×#41—48no—
690C2×#41—44no—
691C2×#41—44no—
692C2×#41—44no—
693C2×#41—84no—
694C22×Q8C2412yes—
695C22×Q8C2414yes—
696C22×Q8C2411yescharacteristic
697C22×Q8C2411yescharacteristic
698C22×D4—44no—
699C22×D4—44no—
700C22×D4—44no—
701C22×D4C2412yes—
702C22×D4C2412yes—
703C22×D4C2411yescharacteristic
704C22×D4C2412yes—
705C22×D4C2412yes—
706C22×D4C2414yes—
707C22×D4C2412yes—
708C22×D4C2414yes—
709C22×D4C2412yes—
710C22×D4C2414yes—
711C22×D4C2414yes—
712C22×D4C2414yes—
713C22×D4C2414yes—
714C22×D4C2411yescharacteristic
715C22×D4C2414yes—
716C22×D4C2414yes—
717C22×D4C2414yes—
718C22×D4C2414yes—
719C22×D4C2414yes—
720C22×D4C2414yes—
721C22×D4C2414yes—
722C23×C4C2412yes—
723C23×C4C2412yes—
724C23×C4C2411yescharacteristic
725C23×C4C2414yes—
726C23×C4C2412yes—
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2411yescharacteristic
730C23×C4C2412yes—
731C23×C4C2411yescharacteristic
732C23×C4C2412yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2412yes—
737C4⋊Q8—28no—
738C4⋊Q8—42no—
739#127—42no—
740#127—42no—
741#127—44no—
742#127—48no—
743#126—44no—
744#125—42no—
745#125—42no—
746#125—42no—
747#125—42no—
748#124—28no—
749#124—42no—
750#124—44no—
751#124—84no—
752#123—48no—
753#123—48no—
754#123—48no—
755#123—48no—
756#123—44no—
757#123—84no—
758#123—84no—
759#123—84no—
760C22⋊Q8—42no—
761C22⋊Q8—44no—
762C22⋊Q8—48no—
763C22⋊Q8—44no—
764C22⋊Q8—44no—
765C22⋊Q8—48no—
766#121—28no—
767#121—48no—
768#121—48no—
769#121—48no—
770#121—44no—
771#121—44no—
772#121—48no—
773#121—48no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—48no—
780#121—42no—
781#121—84no—
782#121—84no—
783#121—84no—
784#120—48no—
785#120—48no—
786#120—48no—
787#120—48no—
788#120—48no—
789#120—84no—
790#120—84no—
791#120—84no—
792C4×Q8—42no—
793C4×Q8—42no—
794C4×Q8—42no—
795C4×Q8—48no—
796C4×Q8—44no—
797C4×Q8—84no—
798C4×D4—28no—
799C4×D4—28no—
800C4×D4—28no—
801C4×D4—28no—
802C4×D4—42no—
803C4×D4—48no—
804C4×D4—44no—
805C4×D4—44no—
806C4×D4—42no—
807C4×D4—42no—
808C4×D4—48no—
809C4×D4—44no—
810C4×D4—84no—
811C4×D4—84no—
812#117—44no—
813#117—44no—
814#117—42no—
815#117—44no—
816C2×C4⋊C4—44no—
817C2×C4⋊C4—44no—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C22⋊C4—48no—
858C2×C22⋊C4—48no—
859C2×C22⋊C4—48no—
860C2×C22⋊C4—84no—
861C2×C22⋊C4C2412yes—
862C2×C22⋊C4C2412yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C42—24no—
927C2×C42—24no—
928C2×C42—44no—
929C2×C42—42no—
930C2×C42C2411yescharacteristic
931C2×C42C2411yescharacteristic
932C2×C42C2412yes—
933C2×C42C2412yes—
934C2×C42C2411yescharacteristic
935C2×C42C2412yes—
936C2×C42C2411yescharacteristic
937C2×C42C2411yescharacteristic
938C2×C42C2411yescharacteristic
939C2×C42C2411yescharacteristic
940C2×C42C2412yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2412yes—
946C2×C42C2414yes—
947C2×C42C2412yes—
948C2×C42C2411yescharacteristic
949#95C2412yes—
950#95C2412yes—
951#95C2412yes—
952#95C2412yes—
953#95C2412yes—
954#95C2412yes—
955#95C2412yes—
956#95C2412yes—
957#95C2414yes—
958#95C2412yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2412yes—
965#95C2414yes—
966#95C2412yes—
967#95C2414yes—
968#95C2414yes—
969#95C2412yes—
970#95C2412yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2412yes—
976#95C2412yes—
977#95C2414yes—
978#95C2414yes—
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000C24—28no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24C2514yes—
1008C24C2514yes—
1009C24C2512yes—
1010C24C2511yescharacteristic
1011C24C2512yes—
1012#41—416no—
1013#41—816no—
1014#41—816no—
1015#41—832no—
1016C2×Q8—28no—
1017C2×Q8—24no—
1018C2×Q8—24no—
1019C2×Q8—24no—
1020C2×Q8—41no—
1021C2×Q8—44no—
1022C2×Q8—44no—
1023C2×Q8—42no—
1024C2×Q8—41no—
1025C2×Q8—42no—
1026C2×D4—24no—
1027C2×D4—24no—
1028C2×D4—24no—
1029C2×D4—24no—
1030C2×D4—24no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—24no—
1036C2×D4—24no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—24no—
1040C2×D4—24no—
1041C2×D4—24no—
1042C2×D4—24no—
1043C2×D4—41no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—41no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—42no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—44no—
1069C2×D4—42no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
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×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—816no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—24no—
1092C22×C4—22no—
1093C22×C4—28no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—44no—
1109C22×C4—42no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—44no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—44no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4H(5,𝔽2)14yes—
1131C22×C4C2512yes—
1132C22×C4C2511yescharacteristic
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2511yescharacteristic
1136C22×C4C2512yes—
1137C22×C4C2514yes—
1138C22×C4C2514yes—
1139C22×C4C2514yes—
1140C22×C4C2514yes—
1141C22×C4C2514yes—
1142C22×C4C2512yes—
1143C22×C4C2511yescharacteristic
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2511yescharacteristic
1147C22×C4C2512yes—
1148C22×C4C2514yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2511yescharacteristic
1152C22×C4C2511yescharacteristic
1153C4⋊C4—24no—
1154C4⋊C4—24no—
1155C4⋊C4—24no—
1156C4⋊C4—24no—
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—24no—
1160C4⋊C4—28no—
1161C4⋊C4—24no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—41no—
1165C4⋊C4—42no—
1166C4⋊C4—41no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—44no—
1171C4⋊C4—41no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—41no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C22⋊C4—24no—
1193C22⋊C4—24no—
1194C22⋊C4—24no—
1195C22⋊C4—24no—
1196C22⋊C4—24no—
1197C22⋊C4—24no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—28no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—44no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—42no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C42—22no—
1258C42—22no—
1259C42—24no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—24no—
1264C42—24no—
1265C42—22no—
1266C42—22no—
1267C42—42no—
1268C42—42no—
1269C42—42no—
1270C42—44no—
1271C42—44no—
1272C42—44no—
1273C42—44no—
1274C42—44no—
1275C42H(5,𝔽2)14yes—
1276C23—22no—
1277C23—22no—
1278C23—21no—
1279C23—22no—
1280C23—22no—
1281C23—21no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—24no—
1287C23—22no—
1288C23—24no—
1289C23—24no—
1290C23—22no—
1291C23—24no—
1292C23—24no—
1293C23—24no—
1294C23—22no—
1295C23—22no—
1296C23—24no—
1297C23—22no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
1301C23—24no—
1302C23—22no—
1303C23—24no—
1304C23—24no—
1305C23—24no—
1306C23—22no—
1307C23—88no—
1308C23—88no—
1309C23—88no—
1310C23—88no—
1311C23—88no—
1312C23—164no—
1313C23—164no—
1314C23C2×H(5,𝔽2)12yes—
1315C23#58514yes—
1316C23C2611yescharacteristic
1317Q8—416no—
1318Q8—44no—
1319Q8—48no—
1320Q8—82no—
1321D4—48no—
1322D4—48no—
1323D4—44no—
1324D4—48no—
1325D4—48no—
1326D4—84no—
1327D4—88no—
1328D4—84no—
1329D4—88no—
1330D4—88no—
1331D4—88no—
1332D4—88no—
1333D4—82no—
1334D4—88no—
1335D4—88no—
1336D4—88no—
1337D4—88no—
1338D4—164no—
1339D4—164no—
1340D4—164no—
1341D4—164no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—28no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—24no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—44no—
1401C2×C4—48no—
1402C2×C4—48no—
1403C2×C4—48no—
1404C2×C4—84no—
1405C2×C4—88no—
1406C2×C4—88no—
1407C2×C4—82no—
1408C2×C4—88no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—88no—
1412C2×C4—88no—
1413C2×C4—164no—
1414C2×C4C2×H(5,𝔽2)12yes—
1415C2×C4C2×H(5,𝔽2)14yes—
1416C2×C4C2×H(5,𝔽2)12yes—
1417C2×C4C2×H(5,𝔽2)12yes—
1418C2×C4#58512yes—
1419C22—22no—
1420C22—24no—
1421C22—22no—
1422C22—22no—
1423C22—24no—
1424C22—24no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—44no—
1433C22—44no—
1434C22—42no—
1435C22—44no—
1436C22—44no—
1437C22—44no—
1438C22—42no—
1439C22—44no—
1440C22—42no—
1441C22—44no—
1442C22—44no—
1443C22—44no—
1444C22—42no—
1445C22—44no—
1446C22—42no—
1447C22—44no—
1448C22—44no—
1449C22—44no—
1450C22—42no—
1451C22—44no—
1452C22—1616no—
1453C22C22×H(5,𝔽2)11yescharacteristic
1454C22C22×H(5,𝔽2)11yescharacteristic
1455C22C2×#58512yes—
1456C22C2×#58511yescharacteristic
1457C22H(7,𝔽2)12yes—
1458C4—22no—
1459C4—24no—
1460C4—41no—
1461C4—41no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—44no—
1467C4—41no—
1468C4—42no—
1469C4—41no—
1470C4—44no—
1471C4—42no—
1472C4—44no—
1473C4—42no—
1474C4—44no—
1475C4—44no—
1476C4—42no—
1477C4—42no—
1478C4—44no—
1479C4#355814yes—
1480C2—42no—
1481C2—44no—
1482C2—82no—
1483C2—84no—
1484C2—84no—
1485C2#6272911yescharacteristic
1486C2C2×#355811yescharacteristic
1487C2#6288011yescharacteristic
1488C2#6292412yes—
1489C2#6294112yes—
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. #59129C2semidirect
2. #59034C2semidirect
3. #56436C2semidirect
4. #56324C2semidirect
5. #55915C2semidirect
6. #55155C2semidirect
7. #53074C2semidirect
8. #53030C2semidirect
9. #52986C2semidirect
10. #52985C2semidirect
11. #52646C2semidirect
12. #43367C2semidirect
13. #42523C2semidirect
14. #42478C2semidirect
15. #41074C2semidirect
16. #40936C2semidirect
17. #40008C2semidirect
18. #39957C2semidirect
19. #39273C2semidirect
20. #38082C2semidirect
21. #38033C2semidirect
22. #37493C2semidirect
23. #37406C2semidirect
24. #36360C2semidirect
25. #35271C2semidirect
26. #34876C2semidirect
27. #34637C2semidirect
30. C2×#546C22semidirect
31. C2×#546C22semidirect
32. C2×#533C22semidirect
34. C2×#529C22semidirect
37. #2855C22semidirect
38. #2854C22semidirect
39. #2851C22semidirect
41. #2841C22semidirect
42. #2839C22semidirect
43. #2832C22semidirect
44. #2829C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2827C22semidirect
49. #2824C22semidirect
50. #2824C22semidirect
51. #2816C22semidirect
53. #2808C22semidirect
54. #2787C22semidirect
55. #2782C22semidirect
56. #2781C22semidirect
57. #2780C22semidirect
58. #2779C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2773C22semidirect
62. #2770C22semidirect
63. #2753C22semidirect
64. #2752C22semidirect
65. #2751C22semidirect
66. #2750C22semidirect
67. #2749C22semidirect
68. #2749C22semidirect
69. #2746C22semidirect
71. #2741C22semidirect
72. #2741C22semidirect
73. #2739C22semidirect
74. #2737C22semidirect
75. #2717C22semidirect
76. #2709C22semidirect
77. #2708C22semidirect
79. #2706C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2703C22semidirect
83. #2696C22semidirect
84. #2696C22semidirect
85. #2696C22semidirect
86. #2696C22semidirect
87. #2688C22semidirect
90. #2678C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2672C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2668C22semidirect
101. #2661C22semidirect
102. #2661C22semidirect
103. #2653C22semidirect
104. #2652C22semidirect
105. #2648C22semidirect
106. #2647C22semidirect
107. #2644C22semidirect
108. #2642C22semidirect
109. #2642C22semidirect
113. #2640C22semidirect
114. #2640C22semidirect
115. #2639C22semidirect
116. #2639C22semidirect
117. #2632C22semidirect
118. #2626C22semidirect
119. #2624C22semidirect
120. #2622C22semidirect
122. #2617C22semidirect
124. #2611C22semidirect
125. #2610C22semidirect
126. #2604C22semidirect
128. #2602C22semidirect
129. #2602C22semidirect
130. #2592C22semidirect
131. #2581C22semidirect
132. #2580C22semidirect
133. #2580C22semidirect
134. #2578C22semidirect
135. #2576C22semidirect
136. #2564C22semidirect
137. #2563C22semidirect
138. #2563C22semidirect
139. #2559C22semidirect
140. #2555C22semidirect
143. #2543C22semidirect
145. #2539C22semidirect
146. #2536C22semidirect
147. #2531C22semidirect
148. #2526C22semidirect
149. #2517C22semidirect
150. #2514C22semidirect
151. #2513C22semidirect
152. #2504C22semidirect
153. #2503C22semidirect
154. #2498C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
159. #2476C22semidirect
161. #2467C22semidirect
162. #2464C22semidirect
163. #2460C22semidirect
164. #2458C22semidirect
165. #2458C22semidirect
166. #2458C22semidirect
167. #2458C22semidirect
168. #2458C22semidirect
170. #2455C22semidirect
171. #2448C22semidirect
173. #2444C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
178. #2432C22semidirect
181. #2429C22semidirect
183. #2428C22semidirect
184. #2425C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2423C22semidirect
189. #2422C22semidirect
190. #2421C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
194. #2417C22semidirect
196. #2416C22semidirect
198. #2414C22semidirect
199. #2412C22semidirect
200. #2412C22semidirect
202. #2408C22semidirect
205. #2407C22semidirect
206. #2407C22semidirect
207. #2407C22semidirect
210. #2404C22semidirect
211. #2404C22semidirect
212. #2399C22semidirect
214. #2398C22semidirect
215. #2398C22semidirect
216. #2398C22semidirect
218. #2367C22semidirect
219. #2365C22semidirect
221. #2358C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. #2342C22semidirect
225. #2341C22semidirect
226. #2333C22semidirect
227. #2330C22semidirect
229. #2323C22semidirect
230. #2321C22semidirect
231. #2319C22semidirect
232. #2311C22semidirect
234. C4×#121C22semidirect
235. C4×#121C22semidirect
236. C4×#121C22semidirect
237. #2297C22semidirect
238. #2297C22semidirect
239. C2×#390C22semidirect
240. #2290C22semidirect
241. #2290C22semidirect
242. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#591292
#590342
#564362
#563242
#559152
#551552
#530742
#530302
#529862
#529852
#526462
#433672
#425232
#424782
#410742
#409362
#400082
#399572
#392732
#380822
#380332
#374932
#374062
#363602
#352712
#348762
#346372