Finite Group Databasebeta

← #7720854

Subgroups — #7720854

Order 512.

4985 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51620C214yesmaximal, complemented
2#51617C214yesmaximal, complemented
3#51057C214yesmaximal, complemented
4#50678C214yesmaximal, complemented
5#44761C214yesmaximal, complemented
6#44759C214yesmaximal, complemented
7#43601C214yesmaximal, complemented
8#43528C214yesmaximal, complemented
9#39690C212yesmaximal, complemented
10#39292C212yesmaximal, complemented
11#38272C212yesmaximal, complemented
12#38067C212yesmaximal, complemented
13#37980C212yesmaximal, complemented
14#37851C212yesmaximal, complemented
15#37322C211yesmaximal, characteristic, complemented
16#37321C211yesmaximal, characteristic, complemented
17#37320C211yesmaximal, characteristic, complemented
18#37320C211yesmaximal, characteristic, complemented
19#36265C212yesmaximal, complemented
20#36183C212yesmaximal, complemented
21#35317C211yesmaximal, characteristic, complemented
22#35301C211yesmaximal, characteristic
23#35296C211yesmaximal, characteristic, complemented
24#35294C211yesmaximal, characteristic, complemented
25#35283C211yesmaximal, characteristic, complemented
26#35268C211yesmaximal, characteristic, complemented
27#35132C211yesmaximal, characteristic, complemented
28C2×#2628C211yesmaximal, characteristic, complemented
29#34398C211yesmaximal, characteristic, complemented
30#34365C211yesmaximal, characteristic, complemented
31#34109C211yesmaximal, characteristic, complemented
32C2×#552C2214yes—
33C2×#551C2214yes—
34C2×#536C2214yes—
35C2×#532C2211yescharacteristic
36C22×C4⋊Q8C2211yescharacteristic
37C22×#117C2211yescharacteristic
38#2868C2211yescharacteristic, complemented
39#2868C2211yescharacteristic, complemented
40#2864C2211yescharacteristic, complemented
41#2864C2211yescharacteristic, complemented
42#2862C2211yescharacteristic, complemented
43#2860C2212yescomplemented
44#2859C2211yescharacteristic, complemented
45#2859C2212yescomplemented
46#2858C2211yescharacteristic, complemented
47#2858C2211yescharacteristic, complemented
48#2857C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2847C2212yes—
52#2807C2214yescomplemented
53#2798C2214yescomplemented
54#2796C2214yescomplemented
55#2794C2214yescomplemented
56#2794C2214yescomplemented
57#2777C2214yescomplemented
58#2773C2214yescomplemented
59#2773C2214yescomplemented
60#2771C2214yescomplemented
61#2768C2214yescomplemented
62#2751C2214yescomplemented
63#2748C2214yes—
64#2743C2214yes—
65#2741C2214yes—
66#2740C2214yes—
67#2738C2214yescomplemented
68#2732C2214yes—
69#2730C2214yes—
70#2727C2214yes—
71#2721C2214yes—
72#2721C2214yes—
73#2716C2214yes—
74#2716C2214yes—
75#2715C2214yescomplemented
76#2713C2214yescomplemented
77#2713C2214yescomplemented
78#2712C2214yes—
79#2710C2214yes—
80#2705C2214yes—
81#2704C2214yescomplemented
82#2702C2214yes—
83#2700C2214yes—
84#2700C2214yescomplemented
85#2698C2214yescomplemented
86#2694C2214yes—
87#2694C2214yes—
88#2692C2214yes—
89#2690C2214yescomplemented
90#2689C2214yescomplemented
91#2687C2214yes—
92#2666C2214yescomplemented
93#2658C2214yescomplemented
94#2647C2212yescomplemented
95#2644C2212yescomplemented
96#2629C2212yes—
97#2628C2212yes—
98#2628C2212yes—
99#2628C2212yes—
100#2628C2212yes—
101#2628C2212yes—
102#2628C2211yescharacteristic
103#2628C2211yescharacteristic
104#2628C2211yescharacteristic
105#2628C2211yescharacteristic
106#2628C2212yes—
107#2628C2211yescharacteristic
108#2628C2211yescharacteristic
109#2624C2212yes—
110#2619C2211yescharacteristic
111#2619C2211yescharacteristic
112#2612C2214yescomplemented
113#2611C2214yescomplemented
114#2610C2212yes—
115#2610C2212yes—
116#2604C2214yescomplemented
117#2598C2212yes—
118#2598C2212yes—
119#2596C2214yescomplemented
120#2596C2214yescomplemented
121#2595C2214yescomplemented
122#2591C2212yes—
123#2589C2214yescomplemented
124#2575C2214yescomplemented
125#2570C2212yescomplemented
126#2570C2214yescomplemented
127#2564C2214yes—
128#2560C2214yes—
129#2557C2214yes—
130#2556C2214yescomplemented
131#2556C2214yescomplemented
132#2553C2214yes—
133#2550C2212yescomplemented
134#2550C2214yescomplemented
135#2549C2214yescomplemented
136#2542C2212yescomplemented
137#2542C2212yescomplemented
138#2542C2214yescomplemented
139#2539C2212yes—
140#2534C2214yes—
141#2521C2214yes—
142#2521C2214yescomplemented
143#2519C2214yescomplemented
144#2516C2214yescomplemented
145#2513C2212yescomplemented
146#2512C2212yescomplemented
147#2511C2214yescomplemented
148#2507C2212yescomplemented
149#2507C2212yescomplemented
150#2506C2212yescomplemented
151#2506C2212yescomplemented
152#2501C2214yes—
153#2501C2212yes—
154#2501C2212yes—
155#2498C2214yes—
156#2498C2214yes—
157#2498C2214yes—
158#2497C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2496C2212yes—
162#2492C2214yes—
163#2491C2212yes—
164#2490C2212yes—
165#2488C2214yes—
166#2488C2214yes—
167#2488C2214yes—
168#2486C2214yes—
169#2479C2214yes—
170#2479C2214yes—
171#2477C2214yes—
172#2474C2214yescomplemented
173#2471C2214yes—
174#2467C2214yes—
175#2465C2214yescomplemented
176#2459C2214yes—
177#2454C2214yes—
178#2454C2212yescomplemented
179#2452C2212yescomplemented
180#2451C2214yescomplemented
181#2450C2214yes—
182#2448C2214yes—
183#2442C2212yes—
184#2441C2214yes—
185#2440C2212yes—
186#2439C2214yes—
187#2438C2214yes—
188#2438C2214yescomplemented
189#2423C2214yes—
190#2422C2212yes—
191#2420C2212yes—
192#2419C2214yes—
193#2419C2214yes—
194#2413C2214yes—
195#2413C2214yes—
196#2412C2214yes—
197#2411C2214yes—
198#2406C2212yes—
199#2404C2212yes—
200C2×#400C2212yes—
201C2×#399C2212yes—
202C2×#395C2212yes—
203C2×#393C2212yes—
204#2381C2214yescomplemented
205#2379C2214yescomplemented
206#2369C2212yescomplemented
207#2369C2212yescomplemented
208#2361C2212yes—
209#2361C2212yes—
210#2359C2214yes—
211#2359C2214yes—
212#2357C2212yescomplemented
213#2349C2212yescomplemented
214#2347C2212yes—
215#2346C2212yes—
216#2345C2212yes—
217#2344C2214yes—
218#2344C2212yes—
219#2344C2212yes—
220#2344C2212yes—
221#2343C2212yes—
222#2343C2212yes—
223#2342C2212yes—
224#2342C2212yes—
225#2339C2214yes—
226#2331C2214yescomplemented
227#2331C2211yescharacteristic, complemented
228#2331C2211yescharacteristic, complemented
229#2331C2211yescharacteristic, complemented
230#2331C2211yescharacteristic, complemented
231#2331C2211yescharacteristic, complemented
232#2331C2211yescharacteristic, complemented
233#2330C2212yescomplemented
234#2329C2214yes—
235#2328C2211yescharacteristic, complemented
236#2328C2211yescharacteristic, complemented
237#2325C2214yes—
238#2324C2212yes—
239#2324C2212yes—
240#2324C2212yes—
241#2319C2212yescomplemented
242#2318C2214yescomplemented
243#2314C2212yes—
244#2310C2214yes—
245C4×C4⋊Q8C2212yescomplemented
246C4×#121C2212yes—
247#2298C2211yescharacteristic
248#2298C2211yescharacteristic
249#2298C2211yescharacteristic
250#2298C2211yescharacteristic
251#2296C2211yescharacteristic
252#2296C2211yescharacteristic
253#2293C2212yescomplemented
254C2×#389C2212yes—
255#2285C2212yes—
256#2283C2211yescharacteristic
257#2283C2211yescharacteristic
258#2283C2211yescharacteristic
259C2×#382C2211yescharacteristic
260#2280C2211yescharacteristic
261C2×#380C2212yes—
262C4×#117C2211yescharacteristic
263C4×#117C2211yescharacteristic
264C4×#117C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C2×C4×C22⋊C4C2211yescharacteristic
267C22×#41C2312yes—
268C23×Q8C2312yes—
269C24×C4C2311yescharacteristic
270#552—416no—
271#551—416no—
272#536—416no—
273#532—28no—
274C2×C4⋊Q8—28no—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2314yes—
284C2×#127C2311yescharacteristic
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2314yes—
291C2×#125C2314yes—
292C2×#125C2314yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#120C2314yes—
316C2×C4×Q8C2314yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×#117—28no—
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2312yes—
329C2×#117C2312yes—
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2314yes—
337C2×#117C2314yes—
338C2×#117C2311yescharacteristic
339C2×#117C2314yes—
340C2×#117C2314yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2314yes—
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2314yes—
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355#400C2314yes—
356#400C2312yes—
357#400C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2312yes—
363#400C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2312yes—
377#399C2312yes—
378#399C2314yes—
379#399C2314yes—
380#399C2312yes—
381#399C2314yes—
382#399C2314yes—
383#399C2312yes—
384#399C2312yes—
385#399C2312yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#395C2314yes—
426#395C2312yes—
427#395C2312yes—
428#395C2314yes—
429#395C2314yes—
430#395C2312yes—
431#395C2312yes—
432#395C2312yes—
433#395C2312yes—
434#395C2314yes—
435#394C2314yes—
436#394C2312yes—
437#394C2312yes—
438#394C2312yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2312yes—
449#393C2312yes—
450#393C2314yes—
451#393C2312yes—
452#393C2312yes—
453#393C2312yes—
454#393C2312yes—
455#392C2312yes—
456#392C2312yes—
457#392C2312yes—
458#392C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#390C2314yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2314yes—
480#390C2314yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#389C2312yes—
489#389C2314yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2312yes—
494#389C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#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#385C2312yes—
625#385C2312yes—
626#385C2314yes—
627#384C2312yes—
628#384C2312yes—
629#384C2312yes—
630#384C2314yes—
631#384C2312yes—
632#384C2312yes—
633#384C2314yes—
634#383C2312yes—
635#383C2312yes—
636#383C2312yes—
637#382C2312yes—
638#382C2314yes—
639#382C2312yes—
640#382C2314yes—
641#382C2312yes—
642#382C2311yescharacteristic
643#382C2311yescharacteristic
644#382C2312yes—
645#382C2311yescharacteristic
646#382C2311yescharacteristic
647#382C2312yes—
648#382C2312yes—
649#381C2312yes—
650#381C2312yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#381C2314yes—
655#381C2314yes—
656#381C2312yes—
657#381C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#379C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2311yescharacteristic
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2311yescharacteristic
720C4×C22⋊C4C2311yescharacteristic
721C4×C22⋊C4C2311yescharacteristic
722C4×C22⋊C4C2311yescharacteristic
723#376C2311yescharacteristic
724#376C2311yescharacteristic
725#376C2311yescharacteristic
726#376C2311yescharacteristic
727#376C2312yes—
728#376C2312yes—
729#376C2312yes—
730C2×#95C2312yes—
731C2×#95C2314yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C2×#95C2314yes—
735C2×#95C2314yes—
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C25C2411yescharacteristic
741C2×#41—28no—
742C2×#41—48no—
743C22×Q8—28no—
744C22×Q8—48no—
745C22×Q8C2414yes—
746C22×Q8C2414yes—
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C23×C4—24no—
757C23×C4—24no—
758C23×C4—42no—
759C23×C4C2411yescharacteristic
760C23×C4C2414yes—
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2414yes—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C4⋊Q8—28no—
777C4⋊Q8—28no—
778C4⋊Q8—28no—
779C4⋊Q8—24no—
780C4⋊Q8—24no—
781C4⋊Q8—24no—
782C4⋊Q8—44no—
783C4⋊Q8—48no—
784C4⋊Q8—48no—
785#127—24no—
786#126—48no—
787#126—48no—
788#126—48no—
789#126—48no—
790#125—44no—
791#125—48no—
792#125—48no—
793#125—48no—
794#124—28no—
795#124—48no—
796#124—48no—
797#124—48no—
798#123—216no—
799#123—216no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805C22⋊Q8—216no—
806C22⋊Q8—48no—
807C22⋊Q8—48no—
808C22⋊Q8—48no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812#121—28no—
813#121—28no—
814#121—28no—
815#121—44no—
816#120—48no—
817C4×Q8—48no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—48no—
823C4×D4—48no—
824C4×D4—48no—
825#117—24no—
826#117—28no—
827#117—28no—
828#117—24no—
829#117—24no—
830#117—24no—
831#117—24no—
832#117—24no—
833#117—24no—
834#117—24no—
835#117—24no—
836#117—42no—
837#117—48no—
838#117—48no—
839#117—48no—
840#117—48no—
841C2×C4⋊C4—24no—
842C2×C4⋊C4—24no—
843C2×C4⋊C4—28no—
844C2×C4⋊C4—28no—
845C2×C4⋊C4—44no—
846C2×C4⋊C4—48no—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C22⋊C4—24no—
908C2×C22⋊C4—24no—
909C2×C22⋊C4—28no—
910C2×C22⋊C4—48no—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2411yescharacteristic
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2411yescharacteristic
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C42—24no—
959C2×C42—24no—
960C2×C42—42no—
961C2×C42#4118yes—
962C2×C42C2412yes—
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2411yescharacteristic
972C2×C42C2411yescharacteristic
973C2×C42C2411yescharacteristic
974C2×C42C2411yescharacteristic
975C2×C42C2411yescharacteristic
976C2×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978C2×C42C2412yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995#95C2414yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061C24—22no—
1062C24—22no—
1063C24—24no—
1064C24—41no—
1065C24—42no—
1066C24C2511yescharacteristic
1067C24C2514yes—
1068C24C2511yescharacteristic
1069C24C2511yescharacteristic
1070#41—816no—
1071C2×Q8—24no—
1072C2×Q8—28no—
1073C2×Q8—24no—
1074C2×Q8—24no—
1075C2×Q8—28no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—44no—
1082C2×Q8—44no—
1083C2×Q8—816no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—24no—
1110C22×C4—28no—
1111C22×C4—24no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—28no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—24no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—28no—
1124C22×C4—24no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—416no—
1131C22×C4—42no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4C2×#4114yes—
1145C22×C4C2×#4114yes—
1146C22×C4C2×#4114yes—
1147C22×C42−1+414yes—
1148C22×C4C2511yescharacteristic
1149C22×C4C2511yescharacteristic
1150C22×C4C2511yescharacteristic
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2514yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2514yes—
1159C22×C4C2514yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2514yes—
1163C22×C4C2514yes—
1164C22×C4C2511yescharacteristic
1165C22×C4C2511yescharacteristic
1166C22×C4C2511yescharacteristic
1167C22×C4C2511yescharacteristic
1168C22×C4C2511yescharacteristic
1169C22×C4C2511yescharacteristic
1170C22×C4C2511yescharacteristic
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—24no—
1189C4⋊C4—24no—
1190C4⋊C4—24no—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—24no—
1194C4⋊C4—24no—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—28no—
1198C4⋊C4—28no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C22⋊C4—24no—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—28no—
1239C22⋊C4—24no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4H(5,𝔽2)18yes—
1282C42—22no—
1283C42—22no—
1284C42—22no—
1285C42—22no—
1286C42—24no—
1287C42—24no—
1288C42—24no—
1289C42—24no—
1290C42—22no—
1291C42—24no—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—22no—
1299C42—42no—
1300C42—42no—
1301C42—42no—
1302C42—44no—
1303C42—42no—
1304C42—42no—
1305C42—44no—
1306C42—44no—
1307C42—44no—
1308C42—44no—
1309C42—44no—
1310C42—44no—
1311C42C2×#4114yes—
1312C42C2×#4114yes—
1313C42C2×#4114yes—
1314C42C2×#4114yes—
1315C23—21no—
1316C23—21no—
1317C23—22no—
1318C23—21no—
1319C23—22no—
1320C23—21no—
1321C23—22no—
1322C23—21no—
1323C23—24no—
1324C23—22no—
1325C23—24no—
1326C23—24no—
1327C23—24no—
1328C23—21no—
1329C23—24no—
1330C23—21no—
1331C23—24no—
1332C23—24no—
1333C23—22no—
1334C23—44no—
1335C23—48no—
1336C23—44no—
1337C23—82no—
1338C23—84no—
1339C23C22×#4112yes—
1340C23C2×H(5,𝔽2)14yes—
1341C23C2×2−1+412yes—
1342C23C2611yescharacteristic
1343Q8—88no—
1344Q8—88no—
1345Q8—84no—
1346Q8—84no—
1347Q8—84no—
1348D4—416no—
1349D4—48no—
1350D4—84no—
1351D4—84no—
1352D4—88no—
1353D4—164no—
1354C2×C4—21no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—28no—
1367C2×C4—28no—
1368C2×C4—28no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—24no—
1374C2×C4—21no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—48no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—416no—
1426C2×C4—44no—
1427C2×C4—84no—
1428C2×C4—88no—
1429C2×C4—82no—
1430C2×C4—88no—
1431C2×C4—88no—
1432C2×C4—164no—
1433C2×C4C22×#4112yes—
1434C2×C4C22×#4112yes—
1435C2×C4C22×#4112yes—
1436C2×C4C22×#4112yes—
1437C2×C4C22×#4112yes—
1438C2×C4C22×#4112yes—
1439C2×C4C2×H(5,𝔽2)14yes—
1440C2×C4C2×H(5,𝔽2)14yes—
1441C2×C4C2×2−1+412yes—
1442C2×C4C2×2−1+412yes—
1443C2×C4#58512yes—
1444C22—22no—
1445C22—22no—
1446C22—24no—
1447C22—24no—
1448C22—22no—
1449C22—24no—
1450C22—41no—
1451C22—41no—
1452C22—42no—
1453C22—44no—
1454C22—41no—
1455C22—41no—
1456C22—44no—
1457C22—44no—
1458C22—41no—
1459C22—44no—
1460C22—44no—
1461C22—42no—
1462C22—44no—
1463C22—44no—
1464C22—42no—
1465C22—88no—
1466C22#350814yes—
1467C22C23×#4111yescharacteristic
1468C22C22×H(5,𝔽2)12yes—
1469C22C22×2−1+411yescharacteristic
1470C22C2×#58511yescharacteristic
1471C222−1+612yes—
1472C4—22no—
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—24no—
1479C4—24no—
1480C4—41no—
1481C4—41no—
1482C4—44no—
1483C4—44no—
1484C4—44no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—44no—
1492C4—42no—
1493C4—42no—
1494C4—44no—
1495C4—44no—
1496C4—42no—
1497C4—44no—
1498C4#349514yes—
1499C2—24no—
1500C2—42no—
1501C2—84no—
1502C2—81no—
1503C2C2×#350811yescharacteristic
1504C2C2×#349511yescharacteristic
1505C2#6286011yescharacteristic
1506C2#6291512yes—
1507C2#6292112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35301C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51620C2semidirect
2. #51617C2semidirect
3. #51057C2semidirect
4. #50678C2semidirect
5. #44761C2semidirect
6. #44759C2semidirect
7. #43601C2semidirect
8. #43528C2semidirect
9. #39690C2semidirect
10. #39292C2semidirect
11. #38272C2semidirect
12. #38067C2semidirect
13. #37980C2semidirect
14. #37851C2semidirect
15. #37322C2semidirect
16. #37321C2semidirect
17. #37320C2semidirect
18. #37320C2semidirect
19. #36265C2semidirect
20. #36183C2semidirect
21. #35317C2semidirect
23. #35296C2semidirect
24. #35294C2semidirect
25. #35283C2semidirect
26. #35268C2semidirect
27. #35132C2semidirect
28. C2×#2628C2semidirect
29. #34398C2semidirect
30. #34365C2semidirect
31. #34109C2semidirect
38. #2868C22semidirect
39. #2868C22semidirect
40. #2864C22semidirect
41. #2864C22semidirect
42. #2862C22semidirect
43. #2860C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2858C22semidirect
47. #2858C22semidirect
52. #2807C22semidirect
53. #2798C22semidirect
54. #2796C22semidirect
55. #2794C22semidirect
56. #2794C22semidirect
57. #2777C22semidirect
58. #2773C22semidirect
59. #2773C22semidirect
60. #2771C22semidirect
61. #2768C22semidirect
62. #2751C22semidirect
67. #2738C22semidirect
75. #2715C22semidirect
76. #2713C22semidirect
77. #2713C22semidirect
81. #2704C22semidirect
84. #2700C22semidirect
85. #2698C22semidirect
89. #2690C22semidirect
90. #2689C22semidirect
92. #2666C22semidirect
93. #2658C22semidirect
94. #2647C22semidirect
95. #2644C22semidirect
112. #2612C22semidirect
113. #2611C22semidirect
116. #2604C22semidirect
119. #2596C22semidirect
120. #2596C22semidirect
121. #2595C22semidirect
123. #2589C22semidirect
124. #2575C22semidirect
125. #2570C22semidirect
126. #2570C22semidirect
130. #2556C22semidirect
131. #2556C22semidirect
133. #2550C22semidirect
134. #2550C22semidirect
135. #2549C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2542C22semidirect
142. #2521C22semidirect
143. #2519C22semidirect
144. #2516C22semidirect
145. #2513C22semidirect
146. #2512C22semidirect
147. #2511C22semidirect
148. #2507C22semidirect
149. #2507C22semidirect
150. #2506C22semidirect
151. #2506C22semidirect
172. #2474C22semidirect
175. #2465C22semidirect
178. #2454C22semidirect
179. #2452C22semidirect
180. #2451C22semidirect
188. #2438C22semidirect
204. #2381C22semidirect
205. #2379C22semidirect
206. #2369C22semidirect
207. #2369C22semidirect
212. #2357C22semidirect
213. #2349C22semidirect
226. #2331C22semidirect
227. #2331C22semidirect
228. #2331C22semidirect
229. #2331C22semidirect
230. #2331C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
233. #2330C22semidirect
235. #2328C22semidirect
236. #2328C22semidirect
241. #2319C22semidirect
242. #2318C22semidirect
245. C4×C4⋊Q8C22semidirect
253. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#516202
#516172
#510572
#506782
#447612
#447592
#436012
#435282
#396902
#392922
#382722
#380672
#379802
#378512
#373222
#373212
#373202
#362652
#361832
#353172
#353012
#352962
#352942
#352832
#352682
#351322
C2×#26282
#343982
#343652
#341092