Finite Group Databasebeta

← #7713352

Subgroups — #7713352

Order 512.

4826 conjugacy classes of subgroups.

The subgroup lattice has 1437 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48803C214yesmaximal, complemented
2#47921C214yesmaximal, complemented
3#47919C214yesmaximal, complemented
4#47889C214yesmaximal, complemented
5#47006C214yesmaximal, complemented
6#46997C211yesmaximal, characteristic, complemented
7#46996C211yesmaximal, characteristic, complemented
8#46837C211yesmaximal, characteristic, complemented
9#46404C214yesmaximal, complemented
10#46389C211yesmaximal, characteristic, complemented
11#46388C211yesmaximal, characteristic, complemented
12#46385C211yesmaximal, characteristic, complemented
13#46385C211yesmaximal, characteristic, complemented
14#46384C211yesmaximal, characteristic, complemented
15#40345C214yesmaximal, complemented
16#40336C214yesmaximal, complemented
17#38732C214yesmaximal, complemented
18#38724C214yesmaximal, complemented
19#37480C211yesmaximal, characteristic, complemented
20#37440C211yesmaximal, characteristic, complemented
21#36982C214yesmaximal, complemented
22#35076C211yesmaximal, characteristic, complemented
23#35062C211yesmaximal, characteristic, complemented
24#35053C214yesmaximal, complemented
25#34363C211yesmaximal, characteristic, complemented
26#34357C211yesmaximal, characteristic, complemented
27#34057C211yesmaximal, characteristic, complemented
28C22×#123C2211yescharacteristic
29C22×#121C2211yescharacteristic
30C22×C4×D4C2211yescharacteristic
31#2854C2212yescomplemented
32#2853C2212yescomplemented
33#2852C2214yescomplemented
34#2850C2214yescomplemented
35#2849C2212yescomplemented
36#2847C2212yescomplemented
37#2842C2211yescharacteristic
38#2842C2211yescharacteristic
39#2840C2211yescharacteristic
40#2840C2211yescharacteristic
41#2813C2214yes—
42#2808C2214yescomplemented
43#2798C2214yescomplemented
44#2797C2214yescomplemented
45#2780C2214yescomplemented
46#2776C2214yescomplemented
47#2776C2214yescomplemented
48#2775C2214yescomplemented
49#2771C2214yescomplemented
50#2766C2214yescomplemented
51#2765C2214yescomplemented
52#2765C2214yescomplemented
53#2764C2214yescomplemented
54#2761C2214yescomplemented
55#2761C2214yescomplemented
56#2760C2214yes—
57#2760C2214yescomplemented
58#2760C2214yescomplemented
59#2757C2214yescomplemented
60#2753C2214yescomplemented
61#2753C2214yescomplemented
62#2751C2214yescomplemented
63#2751C2214yescomplemented
64#2749C2214yes—
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2746C2214yescomplemented
68#2737C2214yescomplemented
69#2732C2214yescomplemented
70#2731C2214yescomplemented
71#2723C2214yescomplemented
72#2716C2214yescomplemented
73#2714C2214yescomplemented
74#2710C2214yescomplemented
75#2706C2214yescomplemented
76#2705C2214yescomplemented
77#2701C2214yescomplemented
78#2698C2214yescomplemented
79#2697C2214yescomplemented
80#2696C2214yescomplemented
81#2696C2214yescomplemented
82#2695C2214yescomplemented
83#2687C2214yescomplemented
84#2687C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2684C2214yescomplemented
88#2684C2214yescomplemented
89#2668C2214yescomplemented
90#2665C2214yescomplemented
91#2665C2214yescomplemented
92#2661C2214yes—
93#2653C2214yescomplemented
94#2648C2214yescomplemented
95#2635C2214yes—
96#2630C2214yes—
97#2628C2214yescomplemented
98#2623C2212yescomplemented
99#2618C2212yescomplemented
100#2617C2212yescomplemented
101#2613C2212yescomplemented
102#2609C2214yescomplemented
103#2607C2214yescomplemented
104#2602C2214yes—
105#2601C2214yescomplemented
106#2601C2214yescomplemented
107#2600C2214yescomplemented
108#2598C2214yescomplemented
109#2594C2214yescomplemented
110#2594C2214yescomplemented
111#2591C2212yescomplemented
112#2591C2212yescomplemented
113#2589C2214yescomplemented
114#2579C2212yescomplemented
115#2578C2214yescomplemented
116#2576C2214yescomplemented
117#2576C2214yescomplemented
118#2575C2214yescomplemented
119#2575C2214yescomplemented
120#2574C2214yescomplemented
121#2572C2214yescomplemented
122#2572C2214yescomplemented
123#2561C2214yescomplemented
124#2560C2214yescomplemented
125#2560C2214yescomplemented
126#2559C2214yescomplemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2557C2214yescomplemented
130#2555C2214yescomplemented
131#2554C2214yescomplemented
132#2553C2214yescomplemented
133#2539C2212yescomplemented
134#2539C2212yescomplemented
135#2534C2212yescomplemented
136#2532C2214yescomplemented
137#2531C2214yescomplemented
138#2527C2214yescomplemented
139#2526C2214yescomplemented
140#2518C2214yescomplemented
141#2515C2214yescomplemented
142#2514C2214yescomplemented
143#2510C2214yescomplemented
144#2487C2212yescomplemented
145#2483C2211yescharacteristic
146#2480C2214yescomplemented
147#2479C2214yescomplemented
148#2479C2214yescomplemented
149#2477C2214yescomplemented
150#2477C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2471C2214yescomplemented
154#2466C2214yescomplemented
155#2459C2214yescomplemented
156#2452C2214yescomplemented
157#2444C2214yescomplemented
158#2439C2214yescomplemented
159#2439C2214yescomplemented
160#2438C2214yescomplemented
161#2432C2214yescomplemented
162#2430C2214yescomplemented
163#2424C2214yes—
164#2424C2214yescomplemented
165#2414C2214yes—
166#2413C2212yescomplemented
167#2411C2212yescomplemented
168#2411C2212yescomplemented
169#2411C2214yescomplemented
170#2411C2212yescomplemented
171#2408C2212yescomplemented
172#2407C2214yescomplemented
173#2405C2211yescharacteristic
174#2405C2211yescharacteristic
175#2405C2211yescharacteristic
176#2405C2211yescharacteristic
177#2405C2211yescharacteristic
178#2405C2211yescharacteristic
179#2404C2214yes—
180#2404C2214yescomplemented
181#2404C2214yescomplemented
182#2403C2211yescharacteristic
183#2403C2211yescharacteristic
184#2403C2211yescharacteristic
185#2403C2211yescharacteristic
186#2403C2211yescharacteristic
187#2377C2214yescomplemented
188#2376C2214yescomplemented
189#2374C2214yescomplemented
190#2363C2214yescomplemented
191#2344C2212yescomplemented
192#2344C2212yescomplemented
193#2344C2212yescomplemented
194#2342C2212yescomplemented
195#2342C2212yescomplemented
196#2342C2212yescomplemented
197#2342C2212yescomplemented
198D4×C22⋊C4C2212yescomplemented
199#2337C2214yescomplemented
200#2335C2214yescomplemented
201#2335C2214yescomplemented
202#2333C2214yescomplemented
203#2333C2214yescomplemented
204#2324C2214yescomplemented
205#2322C2212yescomplemented
206#2321C2212yescomplemented
207#2321C2212yescomplemented
208#2321C2212yescomplemented
209#2318C2214yescomplemented
210#2318C2214yescomplemented
211#2315C2212yescomplemented
212#2313C2212yescomplemented
213#2312C2211yescharacteristic
214#2312C2211yescharacteristic
215#2312C2211yescharacteristic
216#2312C2211yescharacteristic
217#2309C2211yescharacteristic
218#2309C2211yescharacteristic
219#2309C2211yescharacteristic
220#2308C2211yescharacteristic
221#2308C2211yescharacteristic
222#2308C2211yescharacteristic
223#2308C2211yescharacteristic
224#2308C2211yescharacteristic
225C4×#123C2214yescomplemented
226#2297C2214yescomplemented
227#2290C2214yescomplemented
228#2290C2214yescomplemented
229#2283C2212yescomplemented
230#2280C2211yescharacteristic
231#2280C2211yescharacteristic
232#2280C2211yescharacteristic
233#2280C2211yescharacteristic
234C2×C4×C22⋊C4C2212yescomplemented
235C22×#41C2314yes—
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C2×C4⋊Q8C2314yes—
244C2×#126C2314yes—
245C2×#126C2314yes—
246C2×#126C2314yes—
247C2×#124C2314yes—
248C2×#124C2314yes—
249C2×#123—28no—
250C2×#123C2312yes—
251C2×#123C2312yes—
252C2×#123C2312yes—
253C2×#123C2312yes—
254C2×#123C2312yes—
255C2×#123C2314yes—
256C2×#123C2312yes—
257C2×#123C2312yes—
258C2×#123C2312yes—
259C2×#123C2312yes—
260C2×#123C2312yes—
261C2×C22⋊Q8C2314yes—
262C2×C22⋊Q8C2314yes—
263C2×C22⋊Q8C2314yes—
264C2×#121—28no—
265C2×#121C2312yes—
266C2×#121C2312yes—
267C2×#121C2312yes—
268C2×#121C2312yes—
269C2×#121C2314yes—
270C2×#121C2314yes—
271C2×#121C2314yes—
272C2×#120C2312yes—
273C2×#120C2312yes—
274C2×#120C2312yes—
275C2×#120C2312yes—
276C2×#120C2312yes—
277C2×#120C2312yes—
278C2×#120C2312yes—
279C2×#120C2312yes—
280C2×#120C2312yes—
281C2×#120C2312yes—
282C2×C4×D4—28no—
283C2×C4×D4C2312yes—
284C2×C4×D4C2312yes—
285C2×C4×D4C2312yes—
286C2×C4×D4C2312yes—
287C2×C4×D4C2314yes—
288C2×C4×D4C2314yes—
289C2×#117C2312yes—
290C2×#117C2312yes—
291C2×#117C2312yes—
292C2×#117C2312yes—
293C2×#117C2312yes—
294C2×#117C2312yes—
295C2×#117C2314yes—
296C2×#117C2312yes—
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2312yes—
309C22×C22⋊C4C2312yes—
310C22×C22⋊C4C2312yes—
311C22×C22⋊C4C2312yes—
312C22×C22⋊C4C2312yes—
313C22×C42C2311yescharacteristic
314C22×C42C2314yes—
315#401C2314yes—
316#401C2314yes—
317#401C2314yes—
318#400C2314yes—
319#400C2314yes—
320#400C2314yes—
321#400C2314yes—
322#400C2314yes—
323#400C2314yes—
324#400C2314yes—
325#400C2314yes—
326#400C2314yes—
327#400C2314yes—
328#399C2314yes—
329#399C2314yes—
330#399C2314yes—
331#399C2314yes—
332#399C2314yes—
333#398C2314yes—
334#398C2314yes—
335#398C2314yes—
336#398C2314yes—
337#398C2314yes—
338#398C2314yes—
339#398C2314yes—
340#398C2314yes—
341#397C2314yes—
342#397C2314yes—
343#397C2314yes—
344#397C2314yes—
345#397C2314yes—
346#397C2314yes—
347#397C2314yes—
348#397C2314yes—
349#397C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#396C2314yes—
357#396C2314yes—
358#396C2314yes—
359#396C2314yes—
360#396C2314yes—
361#396C2314yes—
362#396C2314yes—
363#396C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#395C2314yes—
368#395C2314yes—
369#394C2314yes—
370#394C2314yes—
371#394C2314yes—
372#394C2314yes—
373#394C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#393C2314yes—
391#393C2314yes—
392#393C2314yes—
393#393C2314yes—
394#393C2314yes—
395#393C2314yes—
396#393C2314yes—
397#393C2314yes—
398#393C2314yes—
399#393C2314yes—
400#393C2314yes—
401#393C2314yes—
402#392C2314yes—
403#392C2314yes—
404#392C2314yes—
405#392C2314yes—
406#392C2314yes—
407#392C2314yes—
408#392C2314yes—
409#392C2314yes—
410#392C2314yes—
411#391C2314yes—
412#391C2314yes—
413#391C2314yes—
414#391C2314yes—
415#391C2314yes—
416#391C2314yes—
417#391C2314yes—
418#391C2314yes—
419#390C2314yes—
420#390C2314yes—
421#390C2314yes—
422#390C2314yes—
423#390C2314yes—
424#390C2314yes—
425#390C2314yes—
426#390C2314yes—
427#390C2314yes—
428#390C2314yes—
429#390C2314yes—
430#390C2314yes—
431#390C2314yes—
432#390C2314yes—
433#390C2314yes—
434#389C2314yes—
435#389C2314yes—
436#389C2314yes—
437#389C2314yes—
438#389C2314yes—
439#389C2314yes—
440#389C2314yes—
441#389C2314yes—
442#389C2314yes—
443#388C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#387C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
488#387C2314yes—
489#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#386C2314yes—
510#386C2314yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2314yes—
519#386C2314yes—
520#386C2314yes—
521#386C2312yes—
522#386C2312yes—
523#386C2312yes—
524#386C2314yes—
525#386C2312yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2312yes—
530#386C2312yes—
531#386C2312yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2312yes—
537#386C2312yes—
538#386C2312yes—
539#386C2312yes—
540#386C2312yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2312yes—
547#386C2312yes—
548#386C2312yes—
549#386C2312yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2312yes—
564#385C2312yes—
565#385C2312yes—
566#385C2312yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2312yes—
573#385C2312yes—
574#385C2314yes—
575#385C2312yes—
576#385C2312yes—
577#383C2314yes—
578#383C2314yes—
579#383C2314yes—
580#383C2314yes—
581#382C2314yes—
582#382C2314yes—
583#382C2314yes—
584#382C2314yes—
585#381C2314yes—
586#381C2314yes—
587#381C2312yes—
588#381C2312yes—
589#381C2312yes—
590#381C2312yes—
591#381C2312yes—
592#381C2312yes—
593#381C2312yes—
594#381C2312yes—
595#381C2312yes—
596#381C2314yes—
597#381C2314yes—
598#381C2312yes—
599#381C2312yes—
600#381C2314yes—
601#380C2312yes—
602#380C2312yes—
603#380C2312yes—
604#380C2312yes—
605#380C2312yes—
606#380C2312yes—
607#380C2312yes—
608#380C2312yes—
609#380C2314yes—
610#380C2312yes—
611#380C2312yes—
612#380C2312yes—
613#380C2312yes—
614#380C2314yes—
615#379C2312yes—
616#379C2312yes—
617#379C2311yescharacteristic
618#379C2311yescharacteristic
619#379C2311yescharacteristic
620#379C2311yescharacteristic
621#379C2311yescharacteristic
622#379C2311yescharacteristic
623#379C2311yescharacteristic
624#379C2311yescharacteristic
625#379C2312yes—
626#379C2312yes—
627#379C2312yes—
628#379C2312yes—
629#379C2312yes—
630#379C2312yes—
631#379C2312yes—
632C4×C4⋊C4C2314yes—
633C4×C4⋊C4C2314yes—
634C4×C4⋊C4C2314yes—
635C4×C4⋊C4C2314yes—
636C4×C4⋊C4C2314yes—
637C4×C22⋊C4C2314yes—
638C4×C22⋊C4C2314yes—
639C4×C22⋊C4C2314yes—
640C4×C22⋊C4C2312yes—
641C4×C22⋊C4C2312yes—
642C4×C22⋊C4C2312yes—
643C4×C22⋊C4C2312yes—
644C4×C22⋊C4C2314yes—
645C4×C22⋊C4C2314yes—
646C4×C22⋊C4C2314yes—
647C4×C22⋊C4C2314yes—
648C4×C22⋊C4C2314yes—
649C4×C22⋊C4C2312yes—
650C4×C22⋊C4C2312yes—
651C4×C22⋊C4C2312yes—
652C4×C22⋊C4C2314yes—
653C4×C22⋊C4C2314yes—
654C4×C22⋊C4C2312yes—
655C4×C22⋊C4C2312yes—
656C4×C22⋊C4C2312yes—
657C4×C22⋊C4C2312yes—
658C4×C22⋊C4C2312yes—
659#376C2314yes—
660C2×#95C2314yes—
661C25C2411yescharacteristic
662C25C2411yescharacteristic
663C25C2411yescharacteristic
664C25C2411yescharacteristic
665C25C2411yescharacteristic
666C2×#41—48no—
667C2×#41—84no—
668C2×#41—84no—
669C22×Q8C2414yes—
670C22×Q8C2414yes—
671C22×D4—24no—
672C22×D4—24no—
673C22×D4—24no—
674C22×D4—24no—
675C22×D4—24no—
676C22×D4—44no—
677C22×D4—82no—
678C22×D4—82no—
679C22×D4—82no—
680C22×D4—82no—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2412yes—
688C22×D4C2412yes—
689C22×D4C2412yes—
690C22×D4C2412yes—
691C22×D4C2412yes—
692C22×D4C2412yes—
693C22×D4C2412yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C23×C4—24no—
697C23×C4—82no—
698C23×C4—82no—
699C23×C4#4118yescomplemented
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2414yes—
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2412yes—
710C23×C4C2412yes—
711C23×C4C2414yes—
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C4⋊Q8—84no—
722#126—84no—
723#126—84no—
724#126—84no—
725#124—48no—
726#124—84no—
727#123—28no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—44no—
732#123—48no—
733#123—82no—
734#123—82no—
735#123—82no—
736#123—82no—
737#123—82no—
738C22⋊Q8—84no—
739C22⋊Q8—84no—
740C22⋊Q8—84no—
741#121—28no—
742#121—28no—
743#121—28no—
744#121—28no—
745#121—48no—
746#121—84no—
747#121—84no—
748#120—44no—
749#120—44no—
750#120—44no—
751#120—82no—
752#120—82no—
753#120—82no—
754#120—82no—
755#120—82no—
756#120—82no—
757#120—82no—
758C4×D4—28no—
759C4×D4—28no—
760C4×D4—28no—
761C4×D4—28no—
762C4×D4—84no—
763C4×D4—84no—
764#117—82no—
765#117—82no—
766#117—82no—
767#117—84no—
768#117—82no—
769#117—82no—
770#117—82no—
771#117—82no—
772C2×C4⋊C4—24no—
773C2×C4⋊C4—24no—
774C2×C4⋊C4—24no—
775C2×C4⋊C4—24no—
776C2×C4⋊C4C2412yes—
777C2×C4⋊C4C2412yes—
778C2×C4⋊C4C2412yes—
779C2×C4⋊C4C2412yes—
780C2×C4⋊C4C2412yes—
781C2×C4⋊C4C2412yes—
782C2×C4⋊C4C2412yes—
783C2×C4⋊C4C2412yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—44no—
816C2×C22⋊C4—44no—
817C2×C22⋊C4—82no—
818C2×C22⋊C4—82no—
819C2×C22⋊C4—82no—
820C2×C22⋊C4C2412yes—
821C2×C22⋊C4C2412yes—
822C2×C22⋊C4C2412yes—
823C2×C22⋊C4C2412yes—
824C2×C22⋊C4C2412yes—
825C2×C22⋊C4C2412yes—
826C2×C22⋊C4C2412yes—
827C2×C22⋊C4C2412yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2412yes—
830C2×C22⋊C4C2412yes—
831C2×C22⋊C4C2412yes—
832C2×C22⋊C4C2412yes—
833C2×C22⋊C4C2412yes—
834C2×C22⋊C4C2412yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2412yes—
837C2×C22⋊C4C2412yes—
838C2×C22⋊C4C2412yes—
839C2×C22⋊C4C2412yes—
840C2×C22⋊C4C2412yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2412yes—
845C2×C22⋊C4C2412yes—
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2412yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2412yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2412yes—
852C2×C22⋊C4C2412yes—
853C2×C22⋊C4C2412yes—
854C2×C22⋊C4C2412yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2412yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2412yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C42—24no—
892C2×C42—84no—
893C2×C42C2412yes—
894C2×C42C2412yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2414yes—
902C2×C42C2414yes—
903C2×C42C2414yes—
904C2×C42C2414yes—
905C2×C42C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
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—
954C24—22no—
955C24—24no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24C2×#4114yes—
974C24C2512yes—
975C24C2512yes—
976C24C2512yes—
977C24C2511yescharacteristic
978C24C2511yescharacteristic
979C24C2511yescharacteristic
980C24C2512yes—
981#41—832no—
982C2×Q8—44no—
983C2×Q8—44no—
984C2×Q8—44no—
985C2×Q8—44no—
986C2×Q8—44no—
987C2×Q8—44no—
988C2×D4—24no—
989C2×D4—24no—
990C2×D4—24no—
991C2×D4—24no—
992C2×D4—24no—
993C2×D4—24no—
994C2×D4—24no—
995C2×D4—24no—
996C2×D4—24no—
997C2×D4—24no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—24no—
1002C2×D4—24no—
1003C2×D4—44no—
1004C2×D4—42no—
1005C2×D4—42no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—416no—
1032C2×D4—88no—
1033C2×D4—88no—
1034C2×D4—88no—
1035C2×D4—88no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—28no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—24no—
1046C22×C4—24no—
1047C22×C4—44no—
1048C22×C4—44no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—44no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—42no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—88no—
1078C22×C4—88no—
1079C22×C4C2×#4114yes—
1080C22×C4C2×#4114yes—
1081C22×C4C2×#4114yes—
1082C22×C4C2×#4114yes—
1083C22×C4C2×#4114yes—
1084C22×C4C2×#4114yes—
1085C22×C4C2512yes—
1086C22×C4C2514yes—
1087C22×C4C2514yes—
1088C22×C4C2512yes—
1089C22×C4C2514yes—
1090C22×C4C2512yes—
1091C22×C4C2514yes—
1092C22×C4C2514yes—
1093C22×C4C2512yes—
1094C22×C4C2512yes—
1095C22×C4C2512yes—
1096C22×C4C2514yes—
1097C22×C4C2514yes—
1098C22×C4C2514yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
1101C22×C4C2511yescharacteristic
1102C22×C4C2511yescharacteristic
1103C22×C4C2511yescharacteristic
1104C22×C4C2511yescharacteristic
1105C4⋊C4—24no—
1106C4⋊C4—24no—
1107C4⋊C4—24no—
1108C4⋊C4—24no—
1109C4⋊C4—24no—
1110C4⋊C4—24no—
1111C4⋊C4—24no—
1112C4⋊C4—24no—
1113C4⋊C4—44no—
1114C4⋊C4—44no—
1115C4⋊C4—44no—
1116C4⋊C4—44no—
1117C4⋊C4—44no—
1118C4⋊C4—44no—
1119C4⋊C4—44no—
1120C4⋊C4—44no—
1121C4⋊C4—44no—
1122C4⋊C4—44no—
1123C4⋊C4—44no—
1124C4⋊C4—44no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C22⋊C4—24no—
1138C22⋊C4—24no—
1139C22⋊C4—24no—
1140C22⋊C4—24no—
1141C22⋊C4—28no—
1142C22⋊C4—28no—
1143C22⋊C4—24no—
1144C22⋊C4—24no—
1145C22⋊C4—24no—
1146C22⋊C4—24no—
1147C22⋊C4—24no—
1148C22⋊C4—24no—
1149C22⋊C4—24no—
1150C22⋊C4—24no—
1151C22⋊C4—24no—
1152C22⋊C4—24no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—44no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—44no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—44no—
1174C22⋊C4—42no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—42no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—42no—
1183C22⋊C4—44no—
1184C22⋊C4—42no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—42no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C42—24no—
1209C42—24no—
1210C42—44no—
1211C42—44no—
1212C42—44no—
1213C42—44no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C23—28no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—24no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—24no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—24no—
1239C23—24no—
1240C23—24no—
1241C23—22no—
1242C23—22no—
1243C23—24no—
1244C23—22no—
1245C23—24no—
1246C23—24no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—44no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—44no—
1255C23—44no—
1256C23—82no—
1257C23—82no—
1258C23—88no—
1259C23—82no—
1260C23—82no—
1261C23—82no—
1262C23—82no—
1263C23—82no—
1264C23—82no—
1265C23—88no—
1266C23—164no—
1267C23—164no—
1268C23—164no—
1269C23C22×#4112yes—
1270C23C22×#4112yes—
1271C23C22×#4112yes—
1272C23#58514yes—
1273C23C2611yescharacteristic
1274Q8—88no—
1275Q8—164no—
1276D4—48no—
1277D4—48no—
1278D4—48no—
1279D4—84no—
1280D4—88no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—84no—
1287D4—88no—
1288D4—88no—
1289D4—88no—
1290D4—164no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—24no—
1304C2×C4—24no—
1305C2×C4—24no—
1306C2×C4—24no—
1307C2×C4—24no—
1308C2×C4—22no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—22no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—22no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—44no—
1340C2×C4—44no—
1341C2×C4—44no—
1342C2×C4—44no—
1343C2×C4—44no—
1344C2×C4—44no—
1345C2×C4—48no—
1346C2×C4—44no—
1347C2×C4—44no—
1348C2×C4—44no—
1349C2×C4—44no—
1350C2×C4—416no—
1351C2×C4—84no—
1352C2×C4—82no—
1353C2×C4—82no—
1354C2×C4—82no—
1355C2×C4—82no—
1356C2×C4—88no—
1357C2×C4—88no—
1358C2×C4—88no—
1359C2×C4—164no—
1360C2×C4C22×#4112yes—
1361C2×C4C22×#4112yes—
1362C2×C4C22×#4112yes—
1363C2×C4C22×#4112yes—
1364C22—22no—
1365C22—22no—
1366C22—24no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—28no—
1375C22—42no—
1376C22—42no—
1377C22—44no—
1378C22—44no—
1379C22—44no—
1380C22—44no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—44no—
1391C22—44no—
1392C22—44no—
1393C22—44no—
1394C22—44no—
1395C22—44no—
1396C22—88no—
1397C22—88no—
1398C22—164no—
1399C22—164no—
1400C22—164no—
1401C22C23×#4111yescharacteristic
1402C22C2×#58512yes—
1403C22H(7,𝔽2)12yes—
1404C22H(7,𝔽2)12yes—
1405C4—22no—
1406C4—22no—
1407C4—22no—
1408C4—22no—
1409C4—42no—
1410C4—42no—
1411C4—42no—
1412C4—42no—
1413C4—42no—
1414C4—42no—
1415C4—42no—
1416C4—42no—
1417C4—44no—
1418C4—44no—
1419C4—44no—
1420C4—44no—
1421C4—44no—
1422C4—44no—
1423C4—44no—
1424C4—44no—
1425C2—44no—
1426C2—42no—
1427C2—42no—
1428C2—42no—
1429C2—82no—
1430C2—82no—
1431C2—82no—
1432C2#6281411yescharacteristic
1433C2#6284411yescharacteristic
1434C2#6285511yescharacteristic
1435C2#6286714yes—
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. #48803C2semidirect
2. #47921C2semidirect
3. #47919C2semidirect
4. #47889C2semidirect
5. #47006C2semidirect
6. #46997C2semidirect
7. #46996C2semidirect
8. #46837C2semidirect
9. #46404C2semidirect
10. #46389C2semidirect
11. #46388C2semidirect
12. #46385C2semidirect
13. #46385C2semidirect
14. #46384C2semidirect
15. #40345C2semidirect
16. #40336C2semidirect
17. #38732C2semidirect
18. #38724C2semidirect
19. #37480C2semidirect
20. #37440C2semidirect
21. #36982C2semidirect
22. #35076C2semidirect
23. #35062C2semidirect
24. #35053C2semidirect
25. #34363C2semidirect
26. #34357C2semidirect
27. #34057C2semidirect
31. #2854C22semidirect
32. #2853C22semidirect
33. #2852C22semidirect
34. #2850C22semidirect
35. #2849C22semidirect
36. #2847C22semidirect
42. #2808C22semidirect
43. #2798C22semidirect
44. #2797C22semidirect
45. #2780C22semidirect
46. #2776C22semidirect
47. #2776C22semidirect
48. #2775C22semidirect
49. #2771C22semidirect
50. #2766C22semidirect
51. #2765C22semidirect
52. #2765C22semidirect
53. #2764C22semidirect
54. #2761C22semidirect
55. #2761C22semidirect
57. #2760C22semidirect
58. #2760C22semidirect
59. #2757C22semidirect
60. #2753C22semidirect
61. #2753C22semidirect
62. #2751C22semidirect
63. #2751C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2746C22semidirect
68. #2737C22semidirect
69. #2732C22semidirect
70. #2731C22semidirect
71. #2723C22semidirect
72. #2716C22semidirect
73. #2714C22semidirect
74. #2710C22semidirect
75. #2706C22semidirect
76. #2705C22semidirect
77. #2701C22semidirect
78. #2698C22semidirect
79. #2697C22semidirect
80. #2696C22semidirect
81. #2696C22semidirect
82. #2695C22semidirect
83. #2687C22semidirect
84. #2687C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2684C22semidirect
88. #2684C22semidirect
89. #2668C22semidirect
90. #2665C22semidirect
91. #2665C22semidirect
93. #2653C22semidirect
94. #2648C22semidirect
97. #2628C22semidirect
98. #2623C22semidirect
99. #2618C22semidirect
100. #2617C22semidirect
101. #2613C22semidirect
102. #2609C22semidirect
103. #2607C22semidirect
105. #2601C22semidirect
106. #2601C22semidirect
107. #2600C22semidirect
108. #2598C22semidirect
109. #2594C22semidirect
110. #2594C22semidirect
111. #2591C22semidirect
112. #2591C22semidirect
113. #2589C22semidirect
114. #2579C22semidirect
115. #2578C22semidirect
116. #2576C22semidirect
117. #2576C22semidirect
118. #2575C22semidirect
119. #2575C22semidirect
120. #2574C22semidirect
121. #2572C22semidirect
122. #2572C22semidirect
123. #2561C22semidirect
124. #2560C22semidirect
125. #2560C22semidirect
126. #2559C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2557C22semidirect
130. #2555C22semidirect
131. #2554C22semidirect
132. #2553C22semidirect
133. #2539C22semidirect
134. #2539C22semidirect
135. #2534C22semidirect
136. #2532C22semidirect
137. #2531C22semidirect
138. #2527C22semidirect
139. #2526C22semidirect
140. #2518C22semidirect
141. #2515C22semidirect
142. #2514C22semidirect
143. #2510C22semidirect
144. #2487C22semidirect
146. #2480C22semidirect
147. #2479C22semidirect
148. #2479C22semidirect
149. #2477C22semidirect
150. #2477C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2471C22semidirect
154. #2466C22semidirect
155. #2459C22semidirect
156. #2452C22semidirect
157. #2444C22semidirect
158. #2439C22semidirect
159. #2439C22semidirect
160. #2438C22semidirect
161. #2432C22semidirect
162. #2430C22semidirect
164. #2424C22semidirect
166. #2413C22semidirect
167. #2411C22semidirect
168. #2411C22semidirect
169. #2411C22semidirect
170. #2411C22semidirect
171. #2408C22semidirect
172. #2407C22semidirect
180. #2404C22semidirect
181. #2404C22semidirect
187. #2377C22semidirect
188. #2376C22semidirect
189. #2374C22semidirect
190. #2363C22semidirect
191. #2344C22semidirect
192. #2344C22semidirect
193. #2344C22semidirect
194. #2342C22semidirect
195. #2342C22semidirect
196. #2342C22semidirect
197. #2342C22semidirect
198. D4×C22⋊C4C22semidirect
199. #2337C22semidirect
200. #2335C22semidirect
201. #2335C22semidirect
202. #2333C22semidirect
203. #2333C22semidirect
204. #2324C22semidirect
205. #2322C22semidirect
206. #2321C22semidirect
207. #2321C22semidirect
208. #2321C22semidirect
209. #2318C22semidirect
210. #2318C22semidirect
211. #2315C22semidirect
212. #2313C22semidirect
225. C4×#123C22semidirect
226. #2297C22semidirect
227. #2290C22semidirect
228. #2290C22semidirect
229. #2283C22semidirect
234. C2×C4×C22⋊C4C22semidirect
699. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#488032
#479212
#479192
#478892
#470062
#469972
#469962
#468372
#464042
#463892
#463882
#463852
#463842
#403452
#403362
#387322
#387242
#374802
#374402
#369822
#350762
#350622
#350532
#343632
#343572
#340572