Finite Group Databasebeta

← #8927416

Subgroups — #8927416

Order 512.

4864 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57799C214yesmaximal, complemented
2#56336C214yesmaximal, complemented
3#56048C214yesmaximal, complemented
4#54442C214yesmaximal, complemented
5#53396C214yesmaximal, complemented
6#53392C214yesmaximal, complemented
7#49381C214yesmaximal, complemented
8#48302C214yesmaximal, complemented
9#48081C214yesmaximal, complemented
10#46997C211yesmaximal, characteristic, complemented
11#46838C211yesmaximal, characteristic, complemented
12#46837C211yesmaximal, characteristic, complemented
13#46385C211yesmaximal, characteristic, complemented
14#46385C211yesmaximal, characteristic, complemented
15#46384C211yesmaximal, characteristic, complemented
16#45681C214yesmaximal, complemented
17#45590C214yesmaximal, complemented
18#45530C214yesmaximal, complemented
19#37117C211yesmaximal, characteristic, complemented
20#37117C211yesmaximal, characteristic, complemented
21#36965C211yesmaximal, characteristic, complemented
22#36721C211yesmaximal, characteristic, complemented
23#36717C211yesmaximal, characteristic, complemented
24#36715C211yesmaximal, characteristic, complemented
25#35355C211yesmaximal, characteristic, complemented
26#35354C211yesmaximal, characteristic, complemented
27#35351C211yesmaximal, characteristic, complemented
28C2×#534C2211yescharacteristic
29C2×#534C2211yescharacteristic
30C22×#123C2211yescharacteristic
31C22×#121C2211yescharacteristic
32C22×#121C2211yescharacteristic
33C2×#518C2211yescharacteristic
34#2849C2212yescomplemented
35#2849C2212yescomplemented
36#2849C2212yescomplemented
37#2849C2212yescomplemented
38#2847C2212yescomplemented
39#2847C2212yescomplemented
40#2842C2211yescharacteristic
41#2840C2211yescharacteristic
42#2839C2214yescomplemented
43#2828C2214yescomplemented
44#2827C2214yescomplemented
45#2827C2214yescomplemented
46#2827C2214yescomplemented
47#2827C2214yescomplemented
48#2826C2214yescomplemented
49#2824C2214yescomplemented
50#2803C2214yescomplemented
51#2800C2214yescomplemented
52#2798C2214yescomplemented
53#2786C2214yescomplemented
54#2786C2214yescomplemented
55#2777C2214yescomplemented
56#2770C2214yescomplemented
57#2769C2214yescomplemented
58#2768C2214yescomplemented
59#2764C2214yescomplemented
60#2764C2214yescomplemented
61#2761C2214yescomplemented
62#2761C2214yescomplemented
63#2757C2214yescomplemented
64#2756C2214yescomplemented
65#2754C2214yescomplemented
66#2752C2214yescomplemented
67#2751C2214yescomplemented
68#2751C2214yescomplemented
69#2749C2214yescomplemented
70#2749C2214yescomplemented
71#2749C2214yescomplemented
72#2744C2214yescomplemented
73#2744C2214yescomplemented
74#2739C2214yescomplemented
75#2738C2214yescomplemented
76#2732C2214yescomplemented
77#2730C2214yescomplemented
78#2724C2214yescomplemented
79#2708C2214yescomplemented
80#2708C2214yescomplemented
81#2708C2214yescomplemented
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2706C2214yescomplemented
86#2703C2214yes—
87#2703C2214yescomplemented
88#2701C2214yescomplemented
89#2701C2214yescomplemented
90#2701C2214yescomplemented
91#2699C2214yes—
92#2697C2214yescomplemented
93#2697C2214yescomplemented
94#2696C2214yescomplemented
95#2696C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2684C2214yescomplemented
103#2684C2214yescomplemented
104#2682C2214yes—
105#2681C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2673C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2669C2214yes—
116#2669C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2668C2214yescomplemented
120#2651C2214yescomplemented
121#2649C2214yescomplemented
122#2649C2214yescomplemented
123#2648C2214yescomplemented
124#2635C2214yescomplemented
125#2625C2214yescomplemented
126#2623C2212yescomplemented
127#2623C2212yescomplemented
128#2622C2212yescomplemented
129#2618C2212yescomplemented
130#2617C2212yescomplemented
131#2613C2212yescomplemented
132#2609C2214yescomplemented
133#2598C2214yescomplemented
134#2598C2214yescomplemented
135#2591C2212yescomplemented
136#2579C2214yescomplemented
137#2579C2212yescomplemented
138#2578C2214yescomplemented
139#2578C2214yescomplemented
140#2578C2214yescomplemented
141#2575C2214yescomplemented
142#2573C2214yescomplemented
143#2572C2214yescomplemented
144#2572C2214yescomplemented
145#2561C2214yescomplemented
146#2557C2214yescomplemented
147#2557C2214yescomplemented
148#2557C2214yescomplemented
149#2544C2214yescomplemented
150#2543C2214yescomplemented
151#2539C2212yescomplemented
152#2534C2212yescomplemented
153#2515C2214yescomplemented
154#2515C2214yescomplemented
155#2505C2214yescomplemented
156#2504C2212yescomplemented
157#2504C2214yescomplemented
158#2487C2212yescomplemented
159#2484C2212yescomplemented
160#2483C2211yescharacteristic
161#2483C2211yescharacteristic
162#2483C2211yescharacteristic
163#2483C2211yescharacteristic
164#2482C2212yescomplemented
165#2477C2214yescomplemented
166#2477C2214yescomplemented
167#2476C2214yescomplemented
168#2476C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2471C2214yescomplemented
172#2470C2214yescomplemented
173#2464C2214yescomplemented
174#2457C2214yescomplemented
175#2457C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2450C2214yescomplemented
179#2444C2214yescomplemented
180#2444C2214yescomplemented
181#2444C2214yescomplemented
182#2443C2214yescomplemented
183#2443C2214yescomplemented
184#2443C2214yescomplemented
185#2433C2212yescomplemented
186#2428C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2418C2214yescomplemented
191#2417C2214yescomplemented
192#2413C2212yescomplemented
193#2413C2212yescomplemented
194#2413C2212yescomplemented
195#2412C2212yescomplemented
196#2412C2212yescomplemented
197#2411C2212yescomplemented
198#2411C2214yescomplemented
199#2410C2212yescomplemented
200#2410C2212yescomplemented
201#2408C2212yescomplemented
202#2405C2211yescharacteristic
203#2405C2211yescharacteristic
204#2405C2211yescharacteristic
205#2405C2211yescharacteristic
206#2405C2211yescharacteristic
207#2405C2211yescharacteristic
208#2405C2211yescharacteristic
209#2405C2211yescharacteristic
210#2403C2211yescharacteristic
211#2403C2211yescharacteristic
212#2403C2211yescharacteristic
213#2403C2211yescharacteristic
214#2403C2211yescharacteristic
215#2403C2211yescharacteristic
216#2380C2214yescomplemented
217#2379C2214yescomplemented
218#2377C2214yescomplemented
219#2363C2214yescomplemented
220#2322C2212yescomplemented
221#2321C2212yescomplemented
222#2312C2211yescharacteristic
223#2312C2211yescharacteristic
224#2312C2211yescharacteristic
225#2312C2211yescharacteristic
226#2309C2211yescharacteristic
227#2309C2211yescharacteristic
228#2308C2211yescharacteristic
229#2308C2211yescharacteristic
230#2308C2211yescharacteristic
231#2308C2212yescomplemented
232C4×#120C2212yescomplemented
233C4×#120C2212yescomplemented
234C2×#385C2212yescomplemented
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245#534—44no—
246#534—44no—
247C2×#127C2314yes—
248C2×#124C2314yes—
249C2×#124C2314yes—
250C2×#123—44no—
251C2×#123C2312yes—
252C2×#123C2312yes—
253C2×#123C2312yes—
254C2×#123C2314yes—
255C2×#123C2314yes—
256C2×#123C2312yes—
257C2×#123C2312yes—
258C2×#123C2312yes—
259C2×#123C2312yes—
260C2×#123C2312yes—
261C2×#123C2312yes—
262C2×#123C2314yes—
263C2×#123C2312yes—
264C2×#123C2312yes—
265C2×#123C2312yes—
266C2×#123C2314yes—
267C2×C22⋊Q8C2314yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2314yes—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121C2312yes—
273C2×#121C2312yes—
274C2×#121C2312yes—
275C2×#121C2314yes—
276C2×#121C2314yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#121C2312yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#120C2312yes—
288C2×#120C2312yes—
289C2×#120C2312yes—
290C2×#120C2312yes—
291C2×#120C2312yes—
292C2×#120C2312yes—
293C2×#120C2312yes—
294C2×#120C2312yes—
295C2×#120C2312yes—
296C2×#120C2312yes—
297C2×#120C2312yes—
298C2×#120C2312yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×#120C2312yes—
302C2×#120C2312yes—
303#518—44no—
304C2×C4×D4C2312yes—
305C2×C4×D4C2312yes—
306C2×C4×D4C2312yes—
307C2×C4×D4C2312yes—
308C2×C4×D4C2314yes—
309C2×C4×D4C2314yes—
310C2×C4×D4C2314yes—
311C2×#117C2312yes—
312C2×#117C2312yes—
313C2×#117C2312yes—
314C2×#117C2314yes—
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2314yes—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#399C2314yes—
346#399C2314yes—
347#399C2314yes—
348#399C2314yes—
349#399C2314yes—
350#399C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#398C2314yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#397C2314yes—
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
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#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
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#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#393C2314yes—
431#393C2314yes—
432#393C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#391C2314yes—
452#391C2314yes—
453#391C2314yes—
454#391C2314yes—
455#390C2314yes—
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#390C2314yes—
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#389C2314yes—
468#389C2314yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2312yes—
538#386C2312yes—
539#386C2312yes—
540#386C2314yes—
541#386C2312yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2312yes—
547#386C2312yes—
548#386C2312yes—
549#386C2312yes—
550#386C2312yes—
551#386C2312yes—
552#386C2312yes—
553#386C2312yes—
554#386C2314yes—
555#386C2314yes—
556#386C2312yes—
557#386C2314yes—
558#386C2314yes—
559#386C2312yes—
560#386C2312yes—
561#386C2314yes—
562#386C2312yes—
563#386C2312yes—
564#386C2312yes—
565#386C2312yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2312yes—
573#386C2314yes—
574#386C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2312yes—
583#385C2312yes—
584#385C2312yes—
585#385C2312yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2312yes—
593#385C2312yes—
594#385C2312yes—
595#385C2314yes—
596#385C2314yes—
597#385C2312yes—
598#385C2312yes—
599#385C2312yes—
600#385C2312yes—
601#385C2314yes—
602#385C2312yes—
603#385C2312yes—
604#385C2312yes—
605#385C2312yes—
606#385C2312yes—
607#383C2314yes—
608#383C2314yes—
609#383C2314yes—
610#383C2314yes—
611#382C2314yes—
612#382C2314yes—
613#382C2314yes—
614#381C2314yes—
615#381C2314yes—
616#381C2312yes—
617#381C2312yes—
618#381C2312yes—
619#381C2312yes—
620#381C2312yes—
621#381C2312yes—
622#381C2312yes—
623#381C2312yes—
624#381C2312yes—
625#381C2312yes—
626#381C2314yes—
627#381C2312yes—
628#380C2312yes—
629#380C2312yes—
630#380C2312yes—
631#380C2312yes—
632#380C2314yes—
633#380C2314yes—
634#380C2314yes—
635#380C2314yes—
636#380C2314yes—
637#379C2312yes—
638#379C2312yes—
639#379C2311yescharacteristic
640#379C2311yescharacteristic
641#379C2311yescharacteristic
642#379C2311yescharacteristic
643#379C2311yescharacteristic
644#379C2312yes—
645#379C2312yes—
646#379C2312yes—
647#379C2312yes—
648#379C2311yescharacteristic
649#379C2312yes—
650#379C2312yes—
651#379C2312yes—
652#379C2312yes—
653C4×C4⋊C4C2314yes—
654C4×C22⋊C4C2314yes—
655C4×C22⋊C4C2312yes—
656C4×C22⋊C4C2312yes—
657C4×C22⋊C4C2312yes—
658C4×C22⋊C4C2312yes—
659C4×C22⋊C4C2314yes—
660C4×C22⋊C4C2314yes—
661C4×C22⋊C4C2314yes—
662C4×C22⋊C4C2314yes—
663C2×#95C2314yes—
664C25C2411yescharacteristic
665C25C2411yescharacteristic
666C25C2411yescharacteristic
667C25C2411yescharacteristic
668C25C2411yescharacteristic
669C25C2411yescharacteristic
670C22×Q8C2414yes—
671C22×D4—24no—
672C22×D4—24no—
673C22×D4—24no—
674C22×D4—24no—
675C22×D4—24no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—44no—
679C22×D4—44no—
680C22×D4—82no—
681C22×D4—82no—
682C22×D4—82no—
683C22×D4—82no—
684C22×D4—82no—
685C22×D4C2412yes—
686C22×D4C2412yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2412yes—
691C22×D4C2412yes—
692C22×D4C2412yes—
693C22×D4C2412yes—
694C22×D4C2412yes—
695C22×D4C2412yes—
696C22×D4C2412yes—
697C22×D4C2412yes—
698C22×D4C2414yes—
699C22×D4C2412yes—
700C22×D4C2412yes—
701C22×D4C2412yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2412yes—
706C22×D4C2414yes—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—82no—
711C23×C4—82no—
712C23×C4—82no—
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2412yes—
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2412yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734#127—48no—
735#124—48no—
736#124—84no—
737#123—48no—
738#123—48no—
739#123—44no—
740#123—44no—
741#123—44no—
742#123—44no—
743#123—44no—
744#123—82no—
745#123—82no—
746#123—82no—
747#123—82no—
748#123—82no—
749#123—84no—
750#123—82no—
751#123—82no—
752#123—84no—
753C22⋊Q8—84no—
754C22⋊Q8—84no—
755C22⋊Q8—84no—
756#121—48no—
757#121—48no—
758#121—48no—
759#121—48no—
760#121—48no—
761#121—48no—
762#121—44no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—84no—
767#121—84no—
768#121—84no—
769#121—84no—
770#121—84no—
771#120—44no—
772#120—44no—
773#120—44no—
774#120—44no—
775#120—44no—
776#120—44no—
777#120—44no—
778#120—82no—
779#120—82no—
780#120—82no—
781#120—82no—
782#120—82no—
783#120—82no—
784#120—82no—
785#120—82no—
786#120—82no—
787C4×D4—44no—
788C4×D4—44no—
789C4×D4—44no—
790C4×D4—44no—
791C4×D4—84no—
792C4×D4—84no—
793C4×D4—84no—
794#117—44no—
795#117—82no—
796#117—84no—
797#117—82no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—42no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—84no—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—44no—
839C2×C22⋊C4—44no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—82no—
844C2×C22⋊C4—82no—
845C2×C22⋊C4C2412yes—
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2412yes—
848C2×C22⋊C4C2412yes—
849C2×C22⋊C4C2412yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2412yes—
852C2×C22⋊C4C2412yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2412yes—
856C2×C22⋊C4C2412yes—
857C2×C22⋊C4C2412yes—
858C2×C22⋊C4C2412yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2412yes—
864C2×C22⋊C4C2412yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C42C2414yes—
920C2×C42C2412yes—
921C2×C42C2412yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2414yes—
926C2×C42C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971C24—22no—
972C24—24no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—42no—
992C24—42no—
993C24—42no—
994C24H(5,𝔽2)14yes—
995C24C2512yes—
996C24C2512yes—
997C24C2512yes—
998C24C2512yes—
999C24C2511yescharacteristic
1000C24C2511yescharacteristic
1001C24C2511yescharacteristic
1002C24C2512yes—
1003C2×Q8—44no—
1004C2×Q8—44no—
1005C2×Q8—44no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—24no—
1009C2×D4—24no—
1010C2×D4—24no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—24no—
1014C2×D4—24no—
1015C2×D4—24no—
1016C2×D4—24no—
1017C2×D4—24no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—44no—
1056C2×D4—44no—
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—44no—
1067C2×D4—44no—
1068C2×D4—416no—
1069C2×D4—88no—
1070C2×D4—88no—
1071C2×D4—88no—
1072C2×D4—88no—
1073C2×D4—88no—
1074C2×D4—88no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—44no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—88no—
1124C22×C4—88no—
1125C22×C4—88no—
1126C22×C4C2512yes—
1127C22×C4C2514yes—
1128C22×C4C2512yes—
1129C22×C4C2514yes—
1130C22×C4C2514yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2514yes—
1138C22×C4C2514yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C22⋊C4—24no—
1177C22⋊C4—24no—
1178C22⋊C4—24no—
1179C22⋊C4—24no—
1180C22⋊C4—24no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—24no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—44no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—42no—
1201C22⋊C4—44no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—42no—
1212C22⋊C4—44no—
1213C22⋊C4—42no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C42—42no—
1251C42—42no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C23—28no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—24no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—24no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—22no—
1281C23—24no—
1282C23—24no—
1283C23—22no—
1284C23—24no—
1285C23—22no—
1286C23—22no—
1287C23—24no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—44no—
1293C23—44no—
1294C23—44no—
1295C23—44no—
1296C23—44no—
1297C23—44no—
1298C23—44no—
1299C23—82no—
1300C23—82no—
1301C23—88no—
1302C23—82no—
1303C23—82no—
1304C23—82no—
1305C23—82no—
1306C23—82no—
1307C23—82no—
1308C23—82no—
1309C23—82no—
1310C23—88no—
1311C23—88no—
1312C23—164no—
1313C23—164no—
1314C23—164no—
1315C23C2×H(5,𝔽2)12yes—
1316C23C2×H(5,𝔽2)12yes—
1317C23C2×H(5,𝔽2)12yes—
1318C23#58514yes—
1319C23C2611yescharacteristic
1320Q8—164no—
1321D4—48no—
1322D4—48no—
1323D4—88no—
1324D4—88no—
1325D4—88no—
1326D4—88no—
1327D4—84no—
1328D4—84no—
1329D4—84no—
1330D4—84no—
1331D4—84no—
1332D4—84no—
1333D4—84no—
1334D4—84no—
1335D4—88no—
1336D4—164no—
1337D4—164no—
1338D4—164no—
1339D4—162no—
1340D4—162no—
1341D4—162no—
1342D4—162no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—24no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—82no—
1398C2×C4—82no—
1399C2×C4—82no—
1400C2×C4—82no—
1401C2×C4—82no—
1402C2×C4—82no—
1403C2×C4—82no—
1404C2×C4—82no—
1405C2×C4—88no—
1406C2×C4—88no—
1407C2×C4—88no—
1408C2×C4—88no—
1409C2×C4—88no—
1410C2×C4—164no—
1411C2×C4—162no—
1412C2×C4—162no—
1413C22—28no—
1414C22—22no—
1415C22—22no—
1416C22—24no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—44no—
1425C22—44no—
1426C22—44no—
1427C22—44no—
1428C22—42no—
1429C22—42no—
1430C22—44no—
1431C22—44no—
1432C22—44no—
1433C22—44no—
1434C22—44no—
1435C22—44no—
1436C22—44no—
1437C22—44no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—88no—
1451C22—88no—
1452C22—88no—
1453C22—164no—
1454C22—164no—
1455C22—164no—
1456C22C22×H(5,𝔽2)11yescharacteristic
1457C22C2×#58512yes—
1458C22H(7,𝔽2)12yes—
1459C22H(7,𝔽2)12yes—
1460C4—44no—
1461C4—44no—
1462C4—44no—
1463C4—44no—
1464C4—44no—
1465C4—44no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C2—44no—
1480C2—42no—
1481C2—42no—
1482C2—42no—
1483C2—82no—
1484C2—82no—
1485C2—82no—
1486C2—82no—
1487C2#6282011yescharacteristic
1488C2#6286211yescharacteristic
1489C2#6286211yescharacteristic
1490C2#6305514yes—
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. #57799C2semidirect
2. #56336C2semidirect
3. #56048C2semidirect
4. #54442C2semidirect
5. #53396C2semidirect
6. #53392C2semidirect
7. #49381C2semidirect
8. #48302C2semidirect
9. #48081C2semidirect
10. #46997C2semidirect
11. #46838C2semidirect
12. #46837C2semidirect
13. #46385C2semidirect
14. #46385C2semidirect
15. #46384C2semidirect
16. #45681C2semidirect
17. #45590C2semidirect
18. #45530C2semidirect
19. #37117C2semidirect
20. #37117C2semidirect
21. #36965C2semidirect
22. #36721C2semidirect
23. #36717C2semidirect
24. #36715C2semidirect
25. #35355C2semidirect
26. #35354C2semidirect
27. #35351C2semidirect
34. #2849C22semidirect
35. #2849C22semidirect
36. #2849C22semidirect
37. #2849C22semidirect
38. #2847C22semidirect
39. #2847C22semidirect
42. #2839C22semidirect
43. #2828C22semidirect
44. #2827C22semidirect
45. #2827C22semidirect
46. #2827C22semidirect
47. #2827C22semidirect
48. #2826C22semidirect
49. #2824C22semidirect
50. #2803C22semidirect
51. #2800C22semidirect
52. #2798C22semidirect
53. #2786C22semidirect
54. #2786C22semidirect
55. #2777C22semidirect
56. #2770C22semidirect
57. #2769C22semidirect
58. #2768C22semidirect
59. #2764C22semidirect
60. #2764C22semidirect
61. #2761C22semidirect
62. #2761C22semidirect
63. #2757C22semidirect
64. #2756C22semidirect
65. #2754C22semidirect
66. #2752C22semidirect
67. #2751C22semidirect
68. #2751C22semidirect
69. #2749C22semidirect
70. #2749C22semidirect
71. #2749C22semidirect
72. #2744C22semidirect
73. #2744C22semidirect
74. #2739C22semidirect
75. #2738C22semidirect
76. #2732C22semidirect
77. #2730C22semidirect
78. #2724C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
81. #2708C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
85. #2706C22semidirect
87. #2703C22semidirect
88. #2701C22semidirect
89. #2701C22semidirect
90. #2701C22semidirect
92. #2697C22semidirect
93. #2697C22semidirect
94. #2696C22semidirect
95. #2696C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2684C22semidirect
103. #2684C22semidirect
105. #2681C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2673C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
116. #2669C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2668C22semidirect
120. #2651C22semidirect
121. #2649C22semidirect
122. #2649C22semidirect
123. #2648C22semidirect
124. #2635C22semidirect
125. #2625C22semidirect
126. #2623C22semidirect
127. #2623C22semidirect
128. #2622C22semidirect
129. #2618C22semidirect
130. #2617C22semidirect
131. #2613C22semidirect
132. #2609C22semidirect
133. #2598C22semidirect
134. #2598C22semidirect
135. #2591C22semidirect
136. #2579C22semidirect
137. #2579C22semidirect
138. #2578C22semidirect
139. #2578C22semidirect
140. #2578C22semidirect
141. #2575C22semidirect
142. #2573C22semidirect
143. #2572C22semidirect
144. #2572C22semidirect
145. #2561C22semidirect
146. #2557C22semidirect
147. #2557C22semidirect
148. #2557C22semidirect
149. #2544C22semidirect
150. #2543C22semidirect
151. #2539C22semidirect
152. #2534C22semidirect
153. #2515C22semidirect
154. #2515C22semidirect
155. #2505C22semidirect
156. #2504C22semidirect
157. #2504C22semidirect
158. #2487C22semidirect
159. #2484C22semidirect
164. #2482C22semidirect
165. #2477C22semidirect
166. #2477C22semidirect
167. #2476C22semidirect
168. #2476C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2471C22semidirect
172. #2470C22semidirect
173. #2464C22semidirect
174. #2457C22semidirect
175. #2457C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
178. #2450C22semidirect
179. #2444C22semidirect
180. #2444C22semidirect
181. #2444C22semidirect
182. #2443C22semidirect
183. #2443C22semidirect
184. #2443C22semidirect
185. #2433C22semidirect
186. #2428C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2418C22semidirect
191. #2417C22semidirect
192. #2413C22semidirect
193. #2413C22semidirect
194. #2413C22semidirect
195. #2412C22semidirect
196. #2412C22semidirect
197. #2411C22semidirect
198. #2411C22semidirect
199. #2410C22semidirect
200. #2410C22semidirect
201. #2408C22semidirect
216. #2380C22semidirect
217. #2379C22semidirect
218. #2377C22semidirect
219. #2363C22semidirect
220. #2322C22semidirect
221. #2321C22semidirect
231. #2308C22semidirect
232. C4×#120C22semidirect
233. C4×#120C22semidirect
234. C2×#385C22semidirect

Maximal subgroups

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

subgroupindex
#577992
#563362
#560482
#544422
#533962
#533922
#493812
#483022
#480812
#469972
#468382
#468372
#463852
#463842
#456812
#455902
#455302
#371172
#369652
#367212
#367172
#367152
#353552
#353542
#353512