Finite Group Databasebeta

← #7732382

Subgroups — #7732382

Order 512.

5122 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51051C214yesmaximal, complemented
2#50671C214yesmaximal, complemented
3#47703C214yesmaximal, complemented
4#47702C214yesmaximal, complemented
5#44043C214yesmaximal, complemented
6#43905C214yesmaximal, complemented
7#39261C212yesmaximal, complemented
8#39258C212yesmaximal, complemented
9#37952C212yesmaximal, complemented
10#37950C212yesmaximal, complemented
11#37942C212yesmaximal, complemented
12#37895C212yesmaximal, complemented
13#37866C212yesmaximal, complemented
14#37851C212yesmaximal, complemented
15#37766C212yesmaximal, complemented
16#37665C212yesmaximal, complemented
17#37561C211yesmaximal, characteristic, complemented
18#37362C212yesmaximal, complemented
19#37354C212yesmaximal, complemented
20#36183C212yesmaximal, complemented
21#36108C212yesmaximal, complemented
22#35604C212yesmaximal, complemented
23#35572C212yesmaximal, complemented
24#35249C211yesmaximal, characteristic, complemented
25#35165C211yesmaximal, characteristic
26C2×#2536C211yesmaximal, characteristic, complemented
27#34398C211yesmaximal, characteristic, complemented
28#34196C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C2×#551C2214yes—
31C2×#542C2212yescomplemented
32C2×#535C2212yes—
33C2×#532C2211yescharacteristic
34C2×#529C2212yescomplemented
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×C4×Q8C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2857C2212yescomplemented
40#2855C2212yescomplemented
41#2854C2212yes—
42#2854C2212yes—
43#2854C2212yescomplemented
44#2850C2212yescomplemented
45#2847C2212yes—
46#2847C2212yes—
47#2845C2212yescomplemented
48#2844C2212yescomplemented
49#2799C2214yescomplemented
50#2795C2214yescomplemented
51#2786C2214yescomplemented
52#2785C2214yescomplemented
53#2782C2214yescomplemented
54#2781C2214yescomplemented
55#2781C2214yescomplemented
56#2775C2214yescomplemented
57#2772C2214yescomplemented
58#2770C2214yescomplemented
59#2756C2214yescomplemented
60#2755C2214yescomplemented
61#2753C2214yescomplemented
62#2749C2214yescomplemented
63#2748C2214yescomplemented
64#2747C2214yescomplemented
65#2744C2214yescomplemented
66#2743C2214yescomplemented
67#2741C2214yescomplemented
68#2740C2214yescomplemented
69#2740C2214yescomplemented
70#2739C2214yescomplemented
71#2722C2214yescomplemented
72#2718C2214yescomplemented
73#2718C2214yescomplemented
74#2715C2214yes—
75#2709C2214yes—
76#2709C2214yes—
77#2706C2214yescomplemented
78#2702C2214yescomplemented
79#2701C2214yes—
80#2700C2214yes—
81#2700C2214yescomplemented
82#2698C2214yescomplemented
83#2692C2214yescomplemented
84#2691C2214yes—
85#2687C2214yescomplemented
86#2686C2214yes—
87#2680C2214yescomplemented
88#2672C2214yes—
89#2666C2214yescomplemented
90#2660C2212yescomplemented
91#2659C2212yes—
92#2647C2212yescomplemented
93#2646C2212yes—
94#2632C2214yescomplemented
95#2629C2212yescomplemented
96#2625C2212yescomplemented
97#2624C2212yescomplemented
98#2620C2212yescomplemented
99#2617C2212yes—
100#2617C2212yes—
101#2610C2214yescomplemented
102#2603C2214yescomplemented
103#2601C2214yescomplemented
104#2596C2214yescomplemented
105#2595C2214yescomplemented
106#2595C2214yescomplemented
107#2593C2214yescomplemented
108#2593C2214yescomplemented
109#2588C2214yescomplemented
110#2580C2212yescomplemented
111#2580C2212yescomplemented
112#2574C2214yescomplemented
113#2570C2212yescomplemented
114#2569C2214yescomplemented
115#2567C2211yescharacteristic, complemented
116#2567C2211yescharacteristic, complemented
117#2564C2214yescomplemented
118#2560C2214yescomplemented
119#2560C2214yescomplemented
120#2559C2214yes—
121#2554C2214yescomplemented
122#2553C2214yescomplemented
123#2550C2212yescomplemented
124#2548C2211yescharacteristic, complemented
125#2548C2211yescharacteristic, complemented
126#2547C2212yes—
127#2544C2214yes—
128#2544C2214yes—
129#2541C2212yes—
130#2537C2212yes—
131#2537C2212yes—
132#2536C2212yes—
133#2536C2212yes—
134#2536C2214yes—
135#2536C2212yes—
136#2536C2214yes—
137#2536C2212yes—
138#2535C2214yes—
139#2534C2214yes—
140#2530C2214yescomplemented
141#2529C2214yescomplemented
142#2522C2214yescomplemented
143#2521C2214yes—
144#2521C2214yescomplemented
145#2520C2214yescomplemented
146#2501C2212yes—
147#2498C2214yes—
148#2498C2214yescomplemented
149#2497C2212yescomplemented
150#2497C2212yescomplemented
151#2496C2212yescomplemented
152#2496C2212yescomplemented
153#2492C2212yescomplemented
154#2491C2212yescomplemented
155#2490C2212yescomplemented
156#2489C2212yescomplemented
157#2488C2214yes—
158#2488C2214yescomplemented
159#2481C2214yes—
160#2481C2214yes—
161#2478C2214yescomplemented
162#2477C2214yescomplemented
163#2476C2214yes—
164#2474C2214yes—
165#2474C2214yescomplemented
166#2474C2214yescomplemented
167#2472C2214yes—
168#2468C2214yescomplemented
169#2468C2214yescomplemented
170#2461C2214yescomplemented
171#2450C2214yescomplemented
172#2445C2214yes—
173#2444C2214yes—
174#2442C2212yes—
175#2440C2212yes—
176#2438C2214yes—
177#2438C2214yescomplemented
178#2436C2212yes—
179#2427C2212yescomplemented
180#2427C2212yescomplemented
181#2426C2212yescomplemented
182#2426C2212yescomplemented
183#2425C2214yes—
184#2423C2212yescomplemented
185#2422C2212yescomplemented
186#2421C2212yescomplemented
187#2420C2212yescomplemented
188#2419C2214yes—
189#2418C2214yes—
190#2417C2214yes—
191#2412C2214yes—
192#2412C2214yes—
193#2411C2214yes—
194#2406C2214yes—
195C2×#398C2212yes—
196C2×#394C2212yes—
197#2379C2212yescomplemented
198#2379C2212yescomplemented
199#2361C2212yes—
200#2361C2212yes—
201#2359C2214yes—
202#2358C2214yes—
203#2357C2212yescomplemented
204#2355C2211yescharacteristic, complemented
205#2355C2211yescharacteristic, complemented
206#2355C2212yescomplemented
207#2355C2212yescomplemented
208#2352C2214yes—
209Q8×C4⋊C4C2211yescharacteristic, complemented
210Q8×C4⋊C4C2211yescharacteristic, complemented
211#2349C2212yescomplemented
212#2344C2214yes—
213#2344C2212yes—
214Q8×C22⋊C4C2212yes—
215#2339C2214yes—
216#2331C2212yescomplemented
217#2328C2212yescomplemented
218#2326C2212yescomplemented
219#2326C2212yescomplemented
220#2325C2212yes—
221#2325C2212yes—
222#2324C2212yescomplemented
223#2323C2212yescomplemented
224#2320C2214yescomplemented
225#2320C2212yescomplemented
226#2318C2212yes—
227#2318C2212yes—
228#2318C2212yes—
229#2318C2212yes—
230#2318C2214yescomplemented
231#2315C2211yescharacteristic
232#2315C2211yescharacteristic
233#2314C2212yescomplemented
234#2313C2212yes—
235#2312C2211yescharacteristic
236#2312C2211yescharacteristic
237#2311C2212yes—
238#2308C2212yes—
239C4×C22⋊Q8C2212yescomplemented
240C4×#121C2212yescomplemented
241#2290C2212yes—
242#2290C2212yes—
243#2290C2212yes—
244#2290C2212yes—
245C2×#388C2212yes—
246C2×#388C2212yes—
247#2285C2212yes—
248#2285C2211yescharacteristic
249#2285C2212yescomplemented
250#2283C2211yescharacteristic
251#2283C2211yescharacteristic
252#2283C2212yes—
253C2×#382C2211yescharacteristic
254#2280C2212yes—
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic
257#2276C2212yescomplemented
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264#551—416no—
265#542—48no—
266#535—48no—
267#532—28no—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2312yes—
270C2×#127C2311yescharacteristic
271C2×#127C2314yes—
272#529—48no—
273C2×#126C2314yes—
274C2×#126C2314yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#124C2312yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×C22⋊Q8—44no—
291C2×C22⋊Q8—44no—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311C2×C4×Q8—28no—
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×Q8C2312yes—
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2312yes—
320C2×C4×D4—28no—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×#117C2312yes—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2314yes—
337C2×#117C2314yes—
338C2×#117C2314yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C42C2312yes—
355C22×C42C2312yes—
356C22×C42C2312yes—
357C22×C42C2311yescharacteristic
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2314yes—
413#395C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#395C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#392C2314yes—
445#392C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2314yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#390C2314yes—
459#390C2314yes—
460#390C2312yes—
461#390C2314yes—
462#390C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2314yes—
470#390C2314yes—
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2314yes—
486#389C2314yes—
487#389C2312yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2312yes—
495#388C2312yes—
496#388C2312yes—
497#388C2312yes—
498#388C2312yes—
499#388C2312yes—
500#388C2312yes—
501#388C2312yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
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#387C2312yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2312yes—
537#387C2312yes—
538#387C2312yes—
539#387C2312yes—
540#387C2312yes—
541#387C2312yes—
542#387C2312yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2312yes—
565#386C2312yes—
566#386C2312yes—
567#386C2312yes—
568#386C2312yes—
569#386C2312yes—
570#386C2312yes—
571#386C2312yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2312yes—
597#385C2312yes—
598#385C2312yes—
599#385C2312yes—
600#385C2312yes—
601#385C2312yes—
602#385C2312yes—
603#385C2312yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#384C2312yes—
615#384C2312yes—
616#384C2312yes—
617#384C2311yescharacteristic
618#384C2311yescharacteristic
619#384C2312yes—
620#384C2312yes—
621#383C2312yes—
622#383C2312yes—
623#383C2314yes—
624#382C2312yes—
625#382C2312yes—
626#382C2311yescharacteristic
627#382C2311yescharacteristic
628#382C2311yescharacteristic
629#382C2311yescharacteristic
630#382C2312yes—
631#382C2314yes—
632#382C2312yes—
633#382C2314yes—
634#382C2312yes—
635#382C2312yes—
636#382C2312yes—
637#382C2312yes—
638#382C2314yes—
639#381C2312yes—
640#381C2312yes—
641#381C2312yes—
642#381C2312yes—
643#381C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2311yescharacteristic
652#380C2311yescharacteristic
653#380C2311yescharacteristic
654#380C2311yescharacteristic
655#380C2312yes—
656#380C2312yes—
657#380C2314yes—
658#380C2314yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#379C2312yes—
677#379C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711#376C2312yes—
712#376C2314yes—
713#376C2312yes—
714C2×#95C2312yes—
715C2×#95C2314yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C25C2411yescharacteristic
722C25C2411yescharacteristic
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C22×Q8—24no—
727C22×Q8—24no—
728C22×Q8—42no—
729C22×Q8C2411yescharacteristic
730C22×Q8C2412yes—
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2414yes—
734C22×D4—24no—
735C22×D4—24no—
736C22×D4—42no—
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C23×C4—24no—
748C23×C4—24no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2411yescharacteristic
773C4⋊Q8—24no—
774C4⋊Q8—44no—
775#127—24no—
776#127—48no—
777#126—48no—
778#126—48no—
779#126—48no—
780#126—48no—
781#125—44no—
782#124—28no—
783#124—28no—
784#124—48no—
785#124—44no—
786#124—48no—
787#124—48no—
788#123—48no—
789#123—48no—
790#123—48no—
791#123—48no—
792#123—48no—
793#123—48no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—48no—
797C22⋊Q8—48no—
798C22⋊Q8—48no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—44no—
802C22⋊Q8—44no—
803#121—28no—
804#121—28no—
805#121—48no—
806#121—48no—
807#121—44no—
808#121—44no—
809#121—44no—
810#121—44no—
811#120—216no—
812#120—48no—
813C4×Q8—28no—
814C4×Q8—24no—
815C4×Q8—28no—
816C4×Q8—24no—
817C4×Q8—28no—
818C4×Q8—24no—
819C4×Q8—24no—
820C4×Q8—44no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—28no—
824C4×D4—28no—
825C4×D4—28no—
826C4×D4—28no—
827C4×D4—48no—
828C4×D4—44no—
829C4×D4—44no—
830C4×D4—48no—
831C4×D4—48no—
832C4×D4—48no—
833#117—44no—
834#117—44no—
835#117—48no—
836#117—44no—
837#117—48no—
838#117—48no—
839C2×C4⋊C4—24no—
840C2×C4⋊C4—24no—
841C2×C4⋊C4—28no—
842C2×C4⋊C4—44no—
843C2×C4⋊C4—42no—
844C2×C4⋊C4—42no—
845C2×C4⋊C4—44no—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C22⋊C4—28no—
903C2×C22⋊C4—28no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—24no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4—44no—
909C2×C22⋊C4—44no—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C42—28no—
964C2×C42—44no—
965C2×C42—44no—
966C2×C42#4118yes—
967C2×C42C2412yes—
968C2×C42C2414yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2412yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2414yes—
977C2×C42C2412yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990#95C2414yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24H(5,𝔽2)14yes—
1064C24C2512yes—
1065C24C2514yes—
1066C24C2512yes—
1067C24C2511yescharacteristic
1068#41—816no—
1069C2×Q8—22no—
1070C2×Q8—24no—
1071C2×Q8—22no—
1072C2×Q8—24no—
1073C2×Q8—24no—
1074C2×Q8—22no—
1075C2×Q8—22no—
1076C2×Q8—22no—
1077C2×Q8—42no—
1078C2×Q8—42no—
1079C2×Q8—42no—
1080C2×Q8—44no—
1081C2×Q8—44no—
1082C2×Q8—44no—
1083C2×Q8—416no—
1084C2×Q8H(5,𝔽2)14yes—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—416no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—28no—
1140C22×C4—42no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—88no—
1174C22×C4—88no—
1175C22×C4C2×#4114yes—
1176C22×C4C2×#4114yes—
1177C22×C4C2×#4114yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2514yes—
1185C22×C4C2514yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C22⋊C4—24no—
1260C22⋊C4—28no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—42no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C42—24no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—24no—
1318C42—28no—
1319C42—24no—
1320C42—24no—
1321C42—42no—
1322C42—42no—
1323C42—42no—
1324C42—42no—
1325C42—44no—
1326C42—44no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42C2×#4114yes—
1332C42C2×#4114yes—
1333C42C2×#4114yes—
1334C42C2×#4114yes—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—28no—
1346C23—22no—
1347C23—24no—
1348C23—22no—
1349C23—24no—
1350C23—22no—
1351C23—24no—
1352C23—24no—
1353C23—22no—
1354C23—24no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—82no—
1366C23—82no—
1367C23—82no—
1368C23—82no—
1369C23—82no—
1370C23—82no—
1371C23—82no—
1372C23—82no—
1373C23C22×#4112yes—
1374C23C2×H(5,𝔽2)14yes—
1375C23C2×H(5,𝔽2)12yes—
1376C23#58512yes—
1377C23C2611yescharacteristic
1378Q8—28no—
1379Q8—48no—
1380Q8—44no—
1381Q8—84no—
1382Q8—164no—
1383D4—48no—
1384D4—48no—
1385D4—416no—
1386D4—48no—
1387D4—84no—
1388D4—84no—
1389D4—88no—
1390D4—88no—
1391D4—164no—
1392D4—164no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—28no—
1406C2×C4—28no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—44no—
1462C2×C4—48no—
1463C2×C4—48no—
1464C2×C4—48no—
1465C2×C4—48no—
1466C2×C4—48no—
1467C2×C4—84no—
1468C2×C4—84no—
1469C2×C4—88no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—84no—
1476C2×C4—88no—
1477C2×C4—84no—
1478C2×C4—164no—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4112yes—
1481C2×C4C22×#4112yes—
1482C2×C4C22×#4112yes—
1483C2×C4C22×#4112yes—
1484C2×C4C22×#4112yes—
1485C2×C4C2×H(5,𝔽2)14yes—
1486C2×C4C2×H(5,𝔽2)12yes—
1487C2×C4#58512yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—24no—
1495C22—24no—
1496C22—24no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—44no—
1503C22—42no—
1504C22—44no—
1505C22—44no—
1506C22—42no—
1507C22—44no—
1508C22—42no—
1509C22—44no—
1510C22—42no—
1511C22—44no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—88no—
1516C22—88no—
1517C22#349414yes—
1518C22C23×#4111yescharacteristic
1519C22C22×H(5,𝔽2)11yescharacteristic
1520C22C22×H(5,𝔽2)11yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22C2×#58511yescharacteristic
1523C222−1+611yescharacteristic
1524C222−1+611yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—24no—
1529C4—22no—
1530C4—22no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—44no—
1537C4—42no—
1538C4—44no—
1539C4—42no—
1540C4—44no—
1541C4—42no—
1542C4—44no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4#349414yes—
1550C2—24no—
1551C2—44no—
1552C2—84no—
1553C2—82no—
1554C2C2×#349411yescharacteristic
1555C2C2×#349411yescharacteristic
1556C2#6286011yescharacteristic
1557C2#6289511yescharacteristic
1558C2#6289711yescharacteristic
1559C2#6290111yescharacteristic
1560C2#6290711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35165C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51051C2semidirect
2. #50671C2semidirect
3. #47703C2semidirect
4. #47702C2semidirect
5. #44043C2semidirect
6. #43905C2semidirect
7. #39261C2semidirect
8. #39258C2semidirect
9. #37952C2semidirect
10. #37950C2semidirect
11. #37942C2semidirect
12. #37895C2semidirect
13. #37866C2semidirect
14. #37851C2semidirect
15. #37766C2semidirect
16. #37665C2semidirect
17. #37561C2semidirect
18. #37362C2semidirect
19. #37354C2semidirect
20. #36183C2semidirect
21. #36108C2semidirect
22. #35604C2semidirect
23. #35572C2semidirect
24. #35249C2semidirect
26. C2×#2536C2semidirect
27. #34398C2semidirect
28. #34196C2semidirect
29. #34057C2semidirect
31. C2×#542C22semidirect
34. C2×#529C22semidirect
39. #2857C22semidirect
40. #2855C22semidirect
43. #2854C22semidirect
44. #2850C22semidirect
47. #2845C22semidirect
48. #2844C22semidirect
49. #2799C22semidirect
50. #2795C22semidirect
51. #2786C22semidirect
52. #2785C22semidirect
53. #2782C22semidirect
54. #2781C22semidirect
55. #2781C22semidirect
56. #2775C22semidirect
57. #2772C22semidirect
58. #2770C22semidirect
59. #2756C22semidirect
60. #2755C22semidirect
61. #2753C22semidirect
62. #2749C22semidirect
63. #2748C22semidirect
64. #2747C22semidirect
65. #2744C22semidirect
66. #2743C22semidirect
67. #2741C22semidirect
68. #2740C22semidirect
69. #2740C22semidirect
70. #2739C22semidirect
71. #2722C22semidirect
72. #2718C22semidirect
73. #2718C22semidirect
77. #2706C22semidirect
78. #2702C22semidirect
81. #2700C22semidirect
82. #2698C22semidirect
83. #2692C22semidirect
85. #2687C22semidirect
87. #2680C22semidirect
89. #2666C22semidirect
90. #2660C22semidirect
92. #2647C22semidirect
94. #2632C22semidirect
95. #2629C22semidirect
96. #2625C22semidirect
97. #2624C22semidirect
98. #2620C22semidirect
101. #2610C22semidirect
102. #2603C22semidirect
103. #2601C22semidirect
104. #2596C22semidirect
105. #2595C22semidirect
106. #2595C22semidirect
107. #2593C22semidirect
108. #2593C22semidirect
109. #2588C22semidirect
110. #2580C22semidirect
111. #2580C22semidirect
112. #2574C22semidirect
113. #2570C22semidirect
114. #2569C22semidirect
115. #2567C22semidirect
116. #2567C22semidirect
117. #2564C22semidirect
118. #2560C22semidirect
119. #2560C22semidirect
121. #2554C22semidirect
122. #2553C22semidirect
123. #2550C22semidirect
124. #2548C22semidirect
125. #2548C22semidirect
140. #2530C22semidirect
141. #2529C22semidirect
142. #2522C22semidirect
144. #2521C22semidirect
145. #2520C22semidirect
148. #2498C22semidirect
149. #2497C22semidirect
150. #2497C22semidirect
151. #2496C22semidirect
152. #2496C22semidirect
153. #2492C22semidirect
154. #2491C22semidirect
155. #2490C22semidirect
156. #2489C22semidirect
158. #2488C22semidirect
161. #2478C22semidirect
162. #2477C22semidirect
165. #2474C22semidirect
166. #2474C22semidirect
168. #2468C22semidirect
169. #2468C22semidirect
170. #2461C22semidirect
171. #2450C22semidirect
177. #2438C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
184. #2423C22semidirect
185. #2422C22semidirect
186. #2421C22semidirect
187. #2420C22semidirect
197. #2379C22semidirect
198. #2379C22semidirect
203. #2357C22semidirect
204. #2355C22semidirect
205. #2355C22semidirect
206. #2355C22semidirect
207. #2355C22semidirect
209. Q8×C4⋊C4C22semidirect
210. Q8×C4⋊C4C22semidirect
211. #2349C22semidirect
216. #2331C22semidirect
217. #2328C22semidirect
218. #2326C22semidirect
219. #2326C22semidirect
222. #2324C22semidirect
223. #2323C22semidirect
224. #2320C22semidirect
225. #2320C22semidirect
230. #2318C22semidirect
233. #2314C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×#121C22semidirect
249. #2285C22semidirect
257. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#510512
#506712
#477032
#477022
#440432
#439052
#392612
#392582
#379522
#379502
#379422
#378952
#378662
#378512
#377662
#376652
#375612
#373622
#373542
#361832
#361082
#356042
#355722
#352492
#351652
C2×#25362
#343982
#341962
#340572