Finite Group Databasebeta

← #7720189

Subgroups — #7720189

Order 512.

4534 conjugacy classes of subgroups.

The subgroup lattice has 1461 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51476C214yesmaximal, complemented
2#51342C214yesmaximal, complemented
3#49630C214yesmaximal, complemented
4#47920C214yesmaximal, complemented
5#45434C211yesmaximal, characteristic, complemented
6#45430C211yesmaximal, characteristic, complemented
7#45367C212yesmaximal
8#45318C211yesmaximal, characteristic, complemented
9#45231C211yesmaximal, characteristic, complemented
10#45211C211yesmaximal, characteristic, complemented
11#45145C212yesmaximal, complemented
12#45056C211yesmaximal, characteristic, complemented
13#44979C211yesmaximal, characteristic, complemented
14#44961C212yesmaximal, complemented
15#44947C211yesmaximal, characteristic, complemented
16#44905C212yesmaximal, complemented
17#40239C214yesmaximal, complemented
18#40027C212yesmaximal, complemented
19#40021C212yesmaximal, complemented
20#38655C214yesmaximal, complemented
21#36736C214yesmaximal, complemented
22#36477C212yesmaximal, complemented
23#36253C212yesmaximal, complemented
24#35233C211yesmaximal, characteristic
25#35201C211yesmaximal, characteristic, complemented
26#35172C211yesmaximal, characteristic, complemented
27#35055C214yesmaximal, complemented
28#34625C211yesmaximal, characteristic, complemented
29#34403C211yesmaximal, characteristic, complemented
30#34397C211yesmaximal, characteristic, complemented
31#34126C211yesmaximal, characteristic, complemented
32C2×#533C2211yescharacteristic
33C2×#529C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35#2861C2212yescomplemented
36#2859C2212yescomplemented
37#2855C2214yescomplemented
38#2853C2214yescomplemented
39#2849C2214yes—
40#2848C2214yes—
41#2801C2214yescomplemented
42#2783C2214yescomplemented
43#2777C2214yescomplemented
44#2773C2214yescomplemented
45#2772C2214yescomplemented
46#2768C2214yescomplemented
47#2768C2214yescomplemented
48#2766C2214yescomplemented
49#2764C2214yescomplemented
50#2761C2214yes—
51#2758C2214yescomplemented
52#2757C2214yescomplemented
53#2756C2214yes—
54#2754C2214yescomplemented
55#2749C2214yes—
56#2748C2214yescomplemented
57#2747C2214yescomplemented
58#2743C2214yescomplemented
59#2741C2214yescomplemented
60#2740C2214yescomplemented
61#2739C2214yes—
62#2738C2214yes—
63#2738C2214yescomplemented
64#2735C2214yes—
65#2735C2214yes—
66#2731C2214yescomplemented
67#2725C2214yescomplemented
68#2725C2214yescomplemented
69#2723C2214yes—
70#2718C2214yescomplemented
71#2704C2214yescomplemented
72#2702C2214yescomplemented
73#2700C2214yescomplemented
74#2697C2214yes—
75#2695C2214yes—
76#2694C2214yes—
77#2692C2214yescomplemented
78#2689C2214yescomplemented
79#2687C2214yescomplemented
80#2685C2214yes—
81#2667C2212yes—
82#2666C2212yescomplemented
83#2666C2212yescomplemented
84#2665C2212yes—
85#2663C2212yes—
86#2663C2212yes—
87#2660C2212yescomplemented
88#2653C2214yescomplemented
89#2652C2214yescomplemented
90#2647C2212yescomplemented
91#2636C2214yes—
92#2629C2212yes—
93#2628C2212yes—
94#2626C2212yes—
95#2626C2212yes—
96#2611C2214yescomplemented
97#2608C2214yescomplemented
98#2608C2214yescomplemented
99#2604C2212yescomplemented
100#2604C2214yescomplemented
101#2604C2214yescomplemented
102#2604C2212yescomplemented
103#2598C2214yes—
104#2597C2214yescomplemented
105#2592C2212yes—
106#2590C2214yescomplemented
107#2587C2214yescomplemented
108#2587C2214yescomplemented
109#2582C2212yescomplemented
110#2580C2212yes—
111#2580C2212yes—
112#2580C2212yescomplemented
113#2578C2214yescomplemented
114#2571C2212yescomplemented
115#2570C2212yescomplemented
116#2570C2212yescomplemented
117#2570C2212yescomplemented
118#2570C2212yescomplemented
119#2568C2211yescharacteristic, complemented
120#2567C2211yescharacteristic, complemented
121#2566C2212yes—
122#2566C2211yescharacteristic
123#2566C2212yes—
124#2566C2211yescharacteristic
125#2564C2214yescomplemented
126#2563C2211yescharacteristic
127#2563C2211yescharacteristic
128#2563C2211yescharacteristic, complemented
129#2561C2214yes—
130#2560C2214yescomplemented
131#2556C2214yescomplemented
132#2554C2214yes—
133#2553C2214yescomplemented
134#2552C2212yescomplemented
135#2549C2214yescomplemented
136#2548C2212yes—
137#2544C2211yescharacteristic
138#2544C2211yescharacteristic
139#2542C2211yescharacteristic
140#2542C2211yescharacteristic
141#2542C2211yescharacteristic, complemented
142#2538C2214yes—
143#2538C2212yes—
144#2538C2212yes—
145#2534C2214yes—
146#2534C2214yes—
147#2533C2214yescomplemented
148#2532C2214yescomplemented
149#2531C2214yes—
150#2530C2214yescomplemented
151#2527C2214yes—
152#2527C2214yescomplemented
153#2526C2214yes—
154#2526C2214yescomplemented
155#2521C2214yescomplemented
156#2518C2214yescomplemented
157#2515C2214yes—
158#2514C2212yescomplemented
159#2513C2212yes—
160#2513C2212yes—
161#2513C2212yescomplemented
162#2512C2212yes—
163#2512C2212yes—
164#2512C2212yescomplemented
165#2511C2212yescomplemented
166#2503C2211yescharacteristic
167#2501C2211yescharacteristic
168#2500C2212yes—
169#2499C2212yes—
170#2498C2214yescomplemented
171#2497C2214yescomplemented
172#2493C2214yescomplemented
173#2488C2214yescomplemented
174#2480C2214yes—
175#2479C2214yescomplemented
176#2478C2214yescomplemented
177#2477C2214yescomplemented
178#2475C2214yescomplemented
179#2472C2214yes—
180#2470C2214yes—
181#2470C2214yescomplemented
182#2470C2214yescomplemented
183#2465C2214yescomplemented
184#2461C2214yes—
185#2460C2214yescomplemented
186#2458C2214yes—
187#2450C2214yescomplemented
188#2448C2212yes—
189#2447C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2435C2211yescharacteristic
193#2433C2211yescharacteristic
194#2429C2214yescomplemented
195#2415C2214yes—
196#2402C2211yescharacteristic, complemented
197#2402C2211yescharacteristic, complemented
198#2399C2211yescharacteristic, complemented
199#2399C2211yescharacteristic, complemented
200#2396C2212yes—
201#2396C2212yes—
202#2383C2214yescomplemented
203#2378C2214yes—
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2370C2212yescomplemented
207#2367C2212yes—
208#2367C2212yescomplemented
209#2366C2212yes—
210#2357C2211yescharacteristic
211#2357C2212yes—
212#2357C2211yescharacteristic
213#2357C2212yes—
214#2357C2211yescharacteristic, complemented
215#2356C2212yescomplemented
216#2356C2214yescomplemented
217#2356C2211yescharacteristic, complemented
218#2355C2212yescomplemented
219#2354C2212yescomplemented
220#2353C2212yes—
221#2353C2212yes—
222#2351C2211yescharacteristic, complemented
223Q8×C4⋊C4C2212yescomplemented
224#2349C2211yescharacteristic
225#2349C2211yescharacteristic
226#2349C2211yescharacteristic, complemented
227#2347C2212yes—
228#2346C2212yes—
229#2346C2212yescomplemented
230#2345C2212yes—
231#2343C2212yescomplemented
232#2342C2214yes—
233D4×C22⋊C4C2212yes—
234#2337C2214yescomplemented
235#2335C2214yes—
236#2334C2214yescomplemented
237#2332C2214yes—
238#2331C2211yescharacteristic, complemented
239#2331C2211yescharacteristic, complemented
240#2331C2211yescharacteristic, complemented
241#2331C2211yescharacteristic, complemented
242#2328C2211yescharacteristic
243#2328C2211yescharacteristic
244#2326C2211yescharacteristic
245#2326C2211yescharacteristic
246#2324C2212yes—
247#2323C2212yes—
248#2323C2214yescomplemented
249#2320C2214yescomplemented
250#2319C2212yes—
251#2318C2212yes—
252#2317C2212yes—
253#2309C2212yes—
254C4×C4⋊Q8C2212yescomplemented
255C4×#125C2212yescomplemented
256C4×C22⋊Q8C2214yescomplemented
257#2293C2212yes—
258#2290C2214yes—
259#2290C2214yescomplemented
260#2285C2211yescharacteristic
261#2283C2211yescharacteristic
262#2283C2211yescharacteristic
263#2280C2212yes—
264C42×D4C2212yes—
265C4×#117C2211yescharacteristic
266C2×C4×C22⋊C4C2212yes—
267C23×D4C2311yescharacteristic
268C24×C4C2312yes—
269#533—28no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275#529—28no—
276C2×#126C2312yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#125C2311yescharacteristic
281C2×#125C2312yes—
282C2×#125C2312yes—
283C2×#125C2314yes—
284C2×#124C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2314yes—
288C2×#123C2312yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×#121C2311yescharacteristic
301C2×#120C2314yes—
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2312yes—
308C2×C4×Q8C2314yes—
309C2×C4×D4—28no—
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×#117C2312yes—
323C2×#117C2312yes—
324C2×#117C2312yes—
325C2×#117C2312yes—
326C2×#117C2314yes—
327C2×#117C2314yes—
328C22×C4⋊C4C2311yescharacteristic
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2314yes—
331C22×C42C2314yes—
332C22×C42C2311yescharacteristic
333#401C2314yes—
334#400C2314yes—
335#400C2312yes—
336#400C2312yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2312yes—
346#400C2312yes—
347#400C2312yes—
348#400C2312yes—
349#400C2312yes—
350#400C2312yes—
351#400C2314yes—
352#399C2312yes—
353#399C2312yes—
354#399C2312yes—
355#399C2312yes—
356#399C2312yes—
357#399C2314yes—
358#399C2314yes—
359#399C2312yes—
360#399C2312yes—
361#399C2312yes—
362#399C2314yes—
363#398C2312yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2312yes—
371#398C2312yes—
372#398C2312yes—
373#398C2312yes—
374#398C2312yes—
375#398C2312yes—
376#398C2312yes—
377#398C2312yes—
378#398C2312yes—
379#398C2314yes—
380#398C2312yes—
381#398C2312yes—
382#398C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2312yes—
409#396C2312yes—
410#396C2312yes—
411#396C2312yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#395C2312yes—
416#395C2312yes—
417#395C2312yes—
418#395C2312yes—
419#395C2312yes—
420#395C2312yes—
421#395C2312yes—
422#395C2312yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#393C2312yes—
435#393C2312yes—
436#393C2314yes—
437#393C2312yes—
438#393C2312yes—
439#393C2312yes—
440#393C2312yes—
441#393C2312yes—
442#393C2314yes—
443#393C2312yes—
444#392C2314yes—
445#391C2314yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2314yes—
450#391C2312yes—
451#391C2314yes—
452#391C2314yes—
453#391C2312yes—
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#390C2314yes—
460#390C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2314yes—
466#390C2314yes—
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2314yes—
472#390C2312yes—
473#390C2311yescharacteristic
474#390C2312yes—
475#390C2311yescharacteristic
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2314yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
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#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#387C2314yes—
555#387C2312yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#384C2312yes—
622#384C2311yescharacteristic
623#384C2311yescharacteristic
624#384C2312yes—
625#384C2312yes—
626#384C2312yes—
627#384C2312yes—
628#384C2312yes—
629#383C2312yes—
630#383C2312yes—
631#383C2314yes—
632#383C2314yes—
633#383C2314yes—
634#383C2312yes—
635#382C2312yes—
636#382C2312yes—
637#382C2312yes—
638#382C2312yes—
639#382C2311yescharacteristic
640#382C2311yescharacteristic
641#382C2312yes—
642#382C2314yes—
643#382C2312yes—
644#382C2312yes—
645#382C2314yes—
646#382C2311yescharacteristic
647#382C2311yescharacteristic
648#382C2311yescharacteristic
649#382C2311yescharacteristic
650#381C2314yes—
651#381C2314yes—
652#381C2312yes—
653#381C2312yes—
654#381C2312yes—
655#381C2314yes—
656#381C2314yes—
657#381C2312yes—
658#381C2312yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2311yescharacteristic
664#380C2311yescharacteristic
665#380C2312yes—
666#380C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#379C2314yes—
675#379C2314yes—
676#379C2314yes—
677#379C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2311yescharacteristic
724C4×C22⋊C4C2311yescharacteristic
725#376C2312yes—
726#376C2314yes—
727#376C2311yescharacteristic
728#376C2311yescharacteristic
729#376C2312yes—
730#376C2311yescharacteristic
731#376C2311yescharacteristic
732#376C2314yes—
733C2×#95C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C43C2312yes—
737C25C2412yes—
738C22×Q8C2411yescharacteristic
739C22×Q8C2412yes—
740C22×Q8C2412yes—
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×D4—24no—
744C22×D4—24no—
745C22×D4—42no—
746C22×D4C2411yescharacteristic
747C22×D4C2411yescharacteristic
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C23×C4—28no—
754C23×C4—84no—
755C23×C4C2411yescharacteristic
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C4⋊Q8—24no—
768C4⋊Q8—24no—
769C4⋊Q8—44no—
770#127—24no—
771#127—42no—
772#126—28no—
773#126—48no—
774#126—84no—
775#126—84no—
776#125—24no—
777#125—28no—
778#125—44no—
779#125—84no—
780#124—24no—
781#124—24no—
782#124—42no—
783#124—48no—
784#123—28no—
785#123—84no—
786#123—84no—
787#123—84no—
788C22⋊Q8—24no—
789C22⋊Q8—28no—
790C22⋊Q8—28no—
791C22⋊Q8—48no—
792C22⋊Q8—48no—
793C22⋊Q8—84no—
794C22⋊Q8—84no—
795C22⋊Q8—84no—
796#121—24no—
797#120—84no—
798C4×Q8—24no—
799C4×Q8—28no—
800C4×Q8—28no—
801C4×Q8—44no—
802C4×Q8—44no—
803C4×Q8—44no—
804C4×Q8—84no—
805C4×D4—28no—
806C4×D4—28no—
807C4×D4—28no—
808C4×D4—24no—
809C4×D4—24no—
810C4×D4—28no—
811C4×D4—24no—
812C4×D4—24no—
813C4×D4—24no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—48no—
817#117—28no—
818#117—28no—
819#117—44no—
820#117—44no—
821#117—84no—
822#117—84no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C22⋊C4—28no—
889C2×C22⋊C4—48no—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C42—84no—
937C2×C42#4118yes—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2414yes—
941C2×C42C2412yes—
942C2×C42C2412yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2411yescharacteristic
946C2×C42C2411yescharacteristic
947C2×C42C2411yescharacteristic
948C2×C42C2411yescharacteristic
949C2×C42C2412yes—
950C2×C42C2414yes—
951C2×C42C2412yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2412yes—
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966#95C2411yescharacteristic
967#95C2411yescharacteristic
968#95C2411yescharacteristic
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2412yes—
976#95C2412yes—
977#95C2411yescharacteristic
978#95C2414yes—
979#95C2412yes—
980#95C2411yescharacteristic
981#95C2411yescharacteristic
982#95C2412yes—
983#95C2412yes—
984#95C2414yes—
985#95C2412yes—
986#95C2412yes—
987#95C2414yes—
988#95C2412yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2411yescharacteristic
997#95C2412yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2411yescharacteristic
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038C24—24no—
1039C24—24no—
1040C24—44no—
1041C24—42no—
1042C24—44no—
1043C24C2512yes—
1044C24C2512yes—
1045C24C2511yescharacteristic
1046C24C2512yes—
1047C2×Q8—22no—
1048C2×Q8—24no—
1049C2×Q8—24no—
1050C2×Q8—22no—
1051C2×Q8—22no—
1052C2×Q8—24no—
1053C2×Q8—24no—
1054C2×Q8—42no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—44no—
1058C2×Q8—42no—
1059C2×Q8—44no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—28no—
1063C2×D4—22no—
1064C2×D4—24no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—416no—
1073C2×D4—42no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D42−1+414yes—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—24no—
1084C22×C4—28no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—28no—
1091C22×C4—44no—
1092C22×C4—42no—
1093C22×C4—44no—
1094C22×C4—42no—
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—816no—
1107C22×C4C2×#4114yes—
1108C22×C4C2×#4114yes—
1109C22×C4C2×#4114yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2512yes—
1115C22×C4C2514yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2514yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2514yes—
1129C22×C4C2512yes—
1130C22×C4C2511yescharacteristic
1131C22×C4C2511yescharacteristic
1132C22×C4C2511yescharacteristic
1133C22×C4C2511yescharacteristic
1134C22×C4C2511yescharacteristic
1135C22×C4C2512yes—
1136C22×C4C2511yescharacteristic
1137C4⋊C4—24no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—24no—
1141C4⋊C4—24no—
1142C4⋊C4—24no—
1143C4⋊C4—24no—
1144C4⋊C4—22no—
1145C4⋊C4—24no—
1146C4⋊C4—22no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—24no—
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—24no—
1153C4⋊C4—24no—
1154C4⋊C4—24no—
1155C4⋊C4—24no—
1156C4⋊C4—28no—
1157C4⋊C4—24no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C22⋊C4—28no—
1202C22⋊C4—24no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—24no—
1206C22⋊C4—24no—
1207C22⋊C4—24no—
1208C22⋊C4—24no—
1209C22⋊C4—24no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—24no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—42no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—42no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C42—24no—
1248C42—28no—
1249C42—24no—
1250C42—22no—
1251C42—22no—
1252C42—24no—
1253C42—24no—
1254C42—24no—
1255C42—24no—
1256C42—22no—
1257C42—22no—
1258C42—42no—
1259C42—44no—
1260C42—44no—
1261C42—44no—
1262C42—42no—
1263C42—42no—
1264C42—44no—
1265C42—44no—
1266C42—44no—
1267C42—44no—
1268C42—44no—
1269C42—44no—
1270C42—44no—
1271C42C2×#4114yes—
1272C42C2×#4114yes—
1273C42C2×#4114yes—
1274C42C2×#4114yes—
1275C23—22no—
1276C23—21no—
1277C23—22no—
1278C23—21no—
1279C23—24no—
1280C23—22no—
1281C23—24no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—24no—
1288C23—24no—
1289C23—22no—
1290C23—22no—
1291C23—24no—
1292C23—24no—
1293C23—48no—
1294C23—48no—
1295C23—84no—
1296C23—88no—
1297C23—88no—
1298C23C22×#4112yes—
1299C23C2×2−1+414yes—
1300C23C2611yescharacteristic
1301Q8—48no—
1302Q8—44no—
1303Q8—84no—
1304Q8—84no—
1305Q8—84no—
1306D4—28no—
1307D4—48no—
1308D4—44no—
1309D4—44no—
1310D4—84no—
1311D4—88no—
1312D4—164no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—21no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—28no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—24no—
1344C2×C4—24no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—48no—
1381C2×C4—48no—
1382C2×C4—84no—
1383C2×C4—88no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—88no—
1387C2×C4—84no—
1388C2×C4—88no—
1389C2×C4C22×#4112yes—
1390C2×C4C22×#4112yes—
1391C2×C4C22×#4112yes—
1392C2×C4C22×#4112yes—
1393C2×C4C22×#4112yes—
1394C2×C4C22×#4112yes—
1395C2×C4C2×2−1+412yes—
1396C2×C4#58514yes—
1397C2×C4#58512yes—
1398C22—22no—
1399C22—24no—
1400C22—22no—
1401C22—22no—
1402C22—28no—
1403C22—42no—
1404C22—42no—
1405C22—44no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—44no—
1415C22—44no—
1416C22—44no—
1417C22—44no—
1418C22—816no—
1419C22C23×#4111yescharacteristic
1420C22C22×2−1+411yescharacteristic
1421C22C2×#58511yescharacteristic
1422C22C2×#58512yes—
1423C22H(7,𝔽2)12yes—
1424C4—22no—
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—24no—
1430C4—42no—
1431C4—42no—
1432C4—44no—
1433C4—42no—
1434C4—42no—
1435C4—42no—
1436C4—44no—
1437C4—42no—
1438C4—42no—
1439C4—42no—
1440C4—44no—
1441C4—42no—
1442C4—42no—
1443C4—42no—
1444C4—42no—
1445C4—42no—
1446C4—42no—
1447C4—44no—
1448C4—42no—
1449C4—42no—
1450C4#349514yes—
1451C2—44no—
1452C2—42no—
1453C2—82no—
1454C2—82no—
1455C2C2×#349511yescharacteristic
1456C2#6281511yescharacteristic
1457C2#6285511yescharacteristic
1458C2#6293512yes—
1459C2#6295112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2433C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51476C2semidirect
2. #51342C2semidirect
3. #49630C2semidirect
4. #47920C2semidirect
5. #45434C2semidirect
6. #45430C2semidirect
8. #45318C2semidirect
9. #45231C2semidirect
10. #45211C2semidirect
11. #45145C2semidirect
12. #45056C2semidirect
13. #44979C2semidirect
14. #44961C2semidirect
15. #44947C2semidirect
16. #44905C2semidirect
17. #40239C2semidirect
18. #40027C2semidirect
19. #40021C2semidirect
20. #38655C2semidirect
21. #36736C2semidirect
22. #36477C2semidirect
23. #36253C2semidirect
25. #35201C2semidirect
26. #35172C2semidirect
27. #35055C2semidirect
28. #34625C2semidirect
29. #34403C2semidirect
30. #34397C2semidirect
31. #34126C2semidirect
35. #2861C22semidirect
36. #2859C22semidirect
37. #2855C22semidirect
38. #2853C22semidirect
41. #2801C22semidirect
42. #2783C22semidirect
43. #2777C22semidirect
44. #2773C22semidirect
45. #2772C22semidirect
46. #2768C22semidirect
47. #2768C22semidirect
48. #2766C22semidirect
49. #2764C22semidirect
51. #2758C22semidirect
52. #2757C22semidirect
54. #2754C22semidirect
56. #2748C22semidirect
57. #2747C22semidirect
58. #2743C22semidirect
59. #2741C22semidirect
60. #2740C22semidirect
63. #2738C22semidirect
66. #2731C22semidirect
67. #2725C22semidirect
68. #2725C22semidirect
70. #2718C22semidirect
71. #2704C22semidirect
72. #2702C22semidirect
73. #2700C22semidirect
77. #2692C22semidirect
78. #2689C22semidirect
79. #2687C22semidirect
82. #2666C22semidirect
83. #2666C22semidirect
87. #2660C22semidirect
88. #2653C22semidirect
89. #2652C22semidirect
90. #2647C22semidirect
96. #2611C22semidirect
97. #2608C22semidirect
98. #2608C22semidirect
99. #2604C22semidirect
100. #2604C22semidirect
101. #2604C22semidirect
102. #2604C22semidirect
104. #2597C22semidirect
106. #2590C22semidirect
107. #2587C22semidirect
108. #2587C22semidirect
109. #2582C22semidirect
112. #2580C22semidirect
113. #2578C22semidirect
114. #2571C22semidirect
115. #2570C22semidirect
116. #2570C22semidirect
117. #2570C22semidirect
118. #2570C22semidirect
119. #2568C22semidirect
120. #2567C22semidirect
125. #2564C22semidirect
128. #2563C22semidirect
130. #2560C22semidirect
131. #2556C22semidirect
133. #2553C22semidirect
134. #2552C22semidirect
135. #2549C22semidirect
141. #2542C22semidirect
147. #2533C22semidirect
148. #2532C22semidirect
150. #2530C22semidirect
152. #2527C22semidirect
154. #2526C22semidirect
155. #2521C22semidirect
156. #2518C22semidirect
158. #2514C22semidirect
161. #2513C22semidirect
164. #2512C22semidirect
165. #2511C22semidirect
170. #2498C22semidirect
171. #2497C22semidirect
172. #2493C22semidirect
173. #2488C22semidirect
175. #2479C22semidirect
176. #2478C22semidirect
177. #2477C22semidirect
178. #2475C22semidirect
181. #2470C22semidirect
182. #2470C22semidirect
183. #2465C22semidirect
185. #2460C22semidirect
187. #2450C22semidirect
194. #2429C22semidirect
196. #2402C22semidirect
197. #2402C22semidirect
198. #2399C22semidirect
199. #2399C22semidirect
202. #2383C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
208. #2367C22semidirect
214. #2357C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
217. #2356C22semidirect
218. #2355C22semidirect
219. #2354C22semidirect
222. #2351C22semidirect
223. Q8×C4⋊C4C22semidirect
226. #2349C22semidirect
229. #2346C22semidirect
231. #2343C22semidirect
234. #2337C22semidirect
236. #2334C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2331C22semidirect
241. #2331C22semidirect
248. #2323C22semidirect
249. #2320C22semidirect
254. C4×C4⋊Q8C22semidirect
255. C4×#125C22semidirect
256. C4×C22⋊Q8C22semidirect
259. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#514762
#513422
#496302
#479202
#454342
#454302
#453672
#453182
#452312
#452112
#451452
#450562
#449792
#449612
#449472
#449052
#402392
#400272
#400212
#386552
#367362
#364772
#362532
#352332
#352012
#351722
#350552
#346252
#344032
#343972
#341262