Finite Group Databasebeta

← #7732024

Subgroups — #7732024

Order 512.

4712 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48911C214yesmaximal, complemented
2#48908C214yesmaximal, complemented
3#47235C214yesmaximal, complemented
4#46403C214yesmaximal, complemented
5#43509C214yesmaximal, complemented
6#43052C214yesmaximal, complemented
7#39798C212yesmaximal, complemented
8#39797C212yesmaximal, complemented
9#39751C212yesmaximal, complemented
10#39748C212yesmaximal, complemented
11#39435C212yesmaximal, complemented
12#39067C212yesmaximal, complemented
13#38261C212yesmaximal, complemented
14#38122C212yesmaximal, complemented
15#37971C212yesmaximal, complemented
16#37705C212yesmaximal, complemented
17#37442C211yesmaximal, characteristic
18#37398C212yesmaximal, complemented
19#37369C212yesmaximal, complemented
20#36278C212yesmaximal, complemented
21#36189C212yesmaximal, complemented
22#35671C212yesmaximal, complemented
23#35613C212yesmaximal, complemented
24#35306C211yesmaximal, characteristic
25#35011C211yesmaximal, characteristic, complemented
26C2×#2441C211yesmaximal, characteristic, complemented
27#34380C211yesmaximal, characteristic, complemented
28#34203C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic
30C2×#541C2212yescomplemented
31C2×#536C2211yescharacteristic
32C22×#125C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C2×#519C2211yescharacteristic
37C22×#117C2211yescharacteristic
38#2863C2212yescomplemented
39#2859C2212yescomplemented
40#2857C2212yes—
41#2857C2212yes—
42#2857C2212yes—
43#2857C2212yescomplemented
44#2855C2212yescomplemented
45#2850C2212yes—
46#2814C2214yes—
47#2805C2214yescomplemented
48#2802C2214yescomplemented
49#2802C2214yescomplemented
50#2791C2214yescomplemented
51#2788C2214yescomplemented
52#2783C2214yescomplemented
53#2783C2214yescomplemented
54#2777C2214yescomplemented
55#2776C2214yescomplemented
56#2774C2214yescomplemented
57#2771C2214yes—
58#2771C2214yes—
59#2767C2214yescomplemented
60#2765C2214yes—
61#2765C2214yes—
62#2761C2214yes—
63#2758C2214yescomplemented
64#2755C2214yescomplemented
65#2755C2214yescomplemented
66#2750C2214yes—
67#2745C2214yescomplemented
68#2744C2214yes—
69#2743C2214yes—
70#2743C2214yes—
71#2740C2214yescomplemented
72#2739C2214yes—
73#2738C2214yes—
74#2738C2214yes—
75#2726C2214yescomplemented
76#2725C2214yescomplemented
77#2725C2214yescomplemented
78#2725C2214yescomplemented
79#2719C2214yescomplemented
80#2719C2214yescomplemented
81#2715C2214yescomplemented
82#2713C2214yescomplemented
83#2707C2214yes—
84#2695C2214yes—
85#2694C2214yes—
86#2694C2214yes—
87#2659C2212yes—
88#2659C2212yes—
89#2659C2212yes—
90#2645C2212yescomplemented
91#2642C2212yescomplemented
92#2639C2212yes—
93#2629C2212yescomplemented
94#2627C2212yes—
95#2625C2212yes—
96#2625C2212yescomplemented
97#2621C2212yes—
98#2620C2212yes—
99#2618C2212yes—
100#2616C2212yes—
101#2611C2214yes—
102#2611C2214yes—
103#2609C2214yes—
104#2608C2214yescomplemented
105#2606C2214yescomplemented
106#2604C2214yescomplemented
107#2601C2214yes—
108#2601C2214yescomplemented
109#2590C2214yescomplemented
110#2590C2214yescomplemented
111#2588C2214yescomplemented
112#2588C2214yescomplemented
113#2587C2214yescomplemented
114#2584C2214yescomplemented
115#2583C2214yes—
116#2583C2214yes—
117#2579C2214yes—
118#2577C2214yescomplemented
119#2575C2214yes—
120#2575C2214yes—
121#2573C2214yes—
122#2570C2214yescomplemented
123#2569C2214yes—
124#2569C2214yes—
125#2558C2214yes—
126#2553C2214yes—
127#2553C2214yes—
128#2550C2214yescomplemented
129#2528C2214yescomplemented
130#2521C2214yescomplemented
131#2520C2214yescomplemented
132#2515C2214yes—
133#2511C2212yescomplemented
134#2511C2212yescomplemented
135#2510C2214yes—
136#2508C2214yescomplemented
137#2507C2214yescomplemented
138#2507C2212yescomplemented
139#2506C2214yescomplemented
140#2506C2212yescomplemented
141#2502C2212yes—
142#2502C2212yes—
143#2497C2214yescomplemented
144#2497C2212yescomplemented
145#2496C2212yescomplemented
146#2489C2212yescomplemented
147#2489C2212yescomplemented
148#2487C2214yes—
149#2486C2212yes—
150#2481C2214yes—
151#2481C2214yes—
152#2481C2214yes—
153#2479C2214yes—
154#2479C2214yes—
155#2478C2214yescomplemented
156#2475C2214yes—
157#2475C2214yes—
158#2470C2214yes—
159#2469C2214yescomplemented
160#2462C2214yescomplemented
161#2453C2212yescomplemented
162#2453C2212yescomplemented
163#2446C2212yescomplemented
164#2446C2212yescomplemented
165#2442C2214yes—
166#2442C2214yes—
167#2442C2214yes—
168#2442C2214yes—
169#2441C2212yes—
170#2441C2214yes—
171#2441C2212yes—
172#2441C2212yes—
173#2441C2214yes—
174#2441C2212yes—
175#2441C2214yescomplemented
176#2434C2212yes—
177#2434C2212yes—
178#2429C2212yescomplemented
179#2429C2212yescomplemented
180#2423C2212yescomplemented
181#2423C2212yescomplemented
182#2417C2212yes—
183#2417C2212yes—
184#2417C2212yes—
185#2417C2212yes—
186#2415C2212yes—
187#2415C2212yes—
188#2413C2214yes—
189#2412C2214yes—
190#2412C2214yes—
191#2409C2212yes—
192C2×#399C2212yes—
193C2×#396C2212yes—
194#2378C2214yes—
195#2362C2212yes—
196#2362C2212yes—
197#2360C2212yes—
198#2360C2212yes—
199#2360C2212yes—
200#2360C2212yes—
201#2353C2214yes—
202#2352C2214yes—
203#2345C2214yes—
204#2345C2214yes—
205#2344C2214yes—
206#2344C2212yes—
207#2342C2214yes—
208#2342C2214yes—
209Q8×C22⋊C4C2212yes—
210#2335C2212yes—
211#2335C2212yes—
212#2333C2212yes—
213#2332C2212yes—
214#2330C2212yescomplemented
215#2329C2211yescharacteristic
216#2329C2211yescharacteristic
217#2329C2212yes—
218#2329C2212yes—
219#2325C2211yescharacteristic
220#2325C2211yescharacteristic
221#2323C2212yes—
222#2323C2212yes—
223#2323C2212yes—
224#2323C2212yes—
225#2323C2212yescomplemented
226#2321C2212yes—
227#2321C2212yes—
228#2320C2212yescomplemented
229#2317C2211yescharacteristic
230#2316C2212yes—
231#2316C2211yescharacteristic
232#2315C2212yes—
233#2315C2212yes—
234#2313C2212yes—
235#2311C2211yescharacteristic
236#2310C2211yescharacteristic
237#2310C2211yescharacteristic
238C4×C4⋊Q8C2212yescomplemented
239C4×C22⋊Q8C2212yes—
240C4×C22⋊Q8C2212yes—
241C4×C22⋊Q8C2212yescomplemented
242#2298C2212yes—
243#2297C2212yes—
244#2295C2212yescomplemented
245#2293C2212yes—
246C2×#389C2212yes—
247C2×#389C2211yescharacteristic
248C2×#389C2211yescharacteristic
249#2290C2212yes—
250#2290C2212yes—
251C2×#387C2212yes—
252#2285C2212yescomplemented
253C2×#384C2211yescharacteristic
254#2280C2211yescharacteristic
255C2×#380C2211yescharacteristic
256#2274C2211yescharacteristic
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×Q8C2311yescharacteristic
261C23×Q8C2311yescharacteristic
262C24×C4C2311yescharacteristic
263#541—48no—
264#536—44no—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×#126C2314yes—
269C2×#126C2314yes—
270C2×#126C2314yes—
271C2×#125—44no—
272C2×#125C2312yes—
273C2×#125C2314yes—
274C2×#125C2312yes—
275C2×#125C2314yes—
276C2×#125C2314yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#124C2312yes—
280#525—28no—
281C2×#123C2312yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×C22⋊Q8—28no—
285C2×C22⋊Q8—28no—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#120C2312yes—
303#519—44no—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2312yes—
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×#117—44no—
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C2×#117C2312yes—
323C2×#117C2312yes—
324C2×#117C2314yes—
325C2×#117C2312yes—
326C2×#117C2314yes—
327C2×#117C2314yes—
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C22⋊C4C2312yes—
348C22×C42C2312yes—
349C22×C42C2312yes—
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352#401C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
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#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
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#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#393C2314yes—
440#391C2312yes—
441#391C2312yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2314yes—
457#391C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#389C2314yes—
467#389C2314yes—
468#389C2314yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2312yes—
473#389C2312yes—
474#389C2314yes—
475#389C2312yes—
476#389C2312yes—
477#389C2314yes—
478#389C2312yes—
479#389C2312yes—
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2312yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2314yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#388C2312yes—
515#388C2314yes—
516#388C2312yes—
517#388C2312yes—
518#388C2314yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2312yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
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#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#386C2314yes—
597#386C2312yes—
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#385C2312yes—
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#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#384C2312yes—
631#384C2314yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#384C2312yes—
636#383C2314yes—
637#383C2314yes—
638#382C2314yes—
639#382C2314yes—
640#382C2312yes—
641#382C2314yes—
642#382C2314yes—
643#382C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2312yes—
649#381C2314yes—
650#380C2312yes—
651#380C2312yes—
652#380C2311yescharacteristic
653#380C2312yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2311yescharacteristic
662#380C2314yes—
663#380C2314yes—
664#380C2314yes—
665#380C2312yes—
666#380C2311yescharacteristic
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#379C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712#376C2312yes—
713#376C2314yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2311yescharacteristic
717C2×#95C2311yescharacteristic
718C2×#95C2312yes—
719C43C2312yes—
720C25C2411yescharacteristic
721C2×#41—24no—
722C2×#41—42no—
723C2×#41—42no—
724C22×Q8—24no—
725C22×Q8—24no—
726C22×Q8—42no—
727C22×Q8—42no—
728C22×Q8—42no—
729C22×Q8—42no—
730C22×Q8C2412yes—
731C22×Q8C2412yes—
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×Q8C2411yescharacteristic
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2411yescharacteristic
739C23×C4—42no—
740C23×C4—42no—
741C23×C4#4118yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2411yescharacteristic
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C4⋊Q8—44no—
764C4⋊Q8—44no—
765C4⋊Q8—44no—
766#126—48no—
767#126—48no—
768#126—84no—
769#125—28no—
770#125—44no—
771#125—48no—
772#125—48no—
773#125—48no—
774#125—84no—
775#125—84no—
776#124—44no—
777#123—28no—
778#123—48no—
779#123—84no—
780C22⋊Q8—28no—
781C22⋊Q8—28no—
782C22⋊Q8—28no—
783C22⋊Q8—28no—
784C22⋊Q8—28no—
785C22⋊Q8—28no—
786C22⋊Q8—28no—
787C22⋊Q8—28no—
788C22⋊Q8—24no—
789C22⋊Q8—24no—
790C22⋊Q8—28no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—44no—
794#121—24no—
795#121—24no—
796#120—28no—
797C4×Q8—28no—
798C4×Q8—44no—
799C4×Q8—44no—
800C4×Q8—44no—
801C4×Q8—44no—
802C4×Q8—44no—
803C4×D4—28no—
804C4×D4—28no—
805C4×D4—28no—
806C4×D4—28no—
807#117—24no—
808#117—24no—
809#117—24no—
810#117—42no—
811#117—42no—
812#117—44no—
813#117—44no—
814#117—44no—
815#117—48no—
816#117—42no—
817#117—42no—
818#117—84no—
819#117—84no—
820C2×C4⋊C4—24no—
821C2×C4⋊C4—28no—
822C2×C4⋊C4—28no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—28no—
825C2×C4⋊C4—28no—
826C2×C4⋊C4—24no—
827C2×C4⋊C4—42no—
828C2×C4⋊C4—42no—
829C2×C4⋊C4—42no—
830C2×C4⋊C4—44no—
831C2×C4⋊C4—44no—
832C2×C4⋊C4—82no—
833C2×C4⋊C4—82no—
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C22⋊C4—28no—
903C2×C22⋊C4—28no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—24no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4—82no—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C42—44no—
948C2×C42—42no—
949C2×C42—42no—
950C2×C42—44no—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2414yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2414yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2414yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2414yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
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#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042C24—22no—
1043C24—22no—
1044C24—41no—
1045C24—41no—
1046C24—41no—
1047C24—41no—
1048C24C2×#4114yes—
1049C24C2512yes—
1050C24C2511yescharacteristic
1051C24C2511yescharacteristic
1052C24C2511yescharacteristic
1053#41—88no—
1054C2×Q8—24no—
1055C2×Q8—24no—
1056C2×Q8—24no—
1057C2×Q8—24no—
1058C2×Q8—22no—
1059C2×Q8—24no—
1060C2×Q8—24no—
1061C2×Q8—24no—
1062C2×Q8—24no—
1063C2×Q8—42no—
1064C2×Q8—42no—
1065C2×Q8—42no—
1066C2×Q8—41no—
1067C2×Q8—42no—
1068C2×Q8—41no—
1069C2×Q8—416no—
1070C2×Q8—88no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—22no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—41no—
1080C2×D4—42no—
1081C2×D4—41no—
1082C2×D4—42no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—416no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—42no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—42no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—41no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—41no—
1138C22×C4—42no—
1139C22×C4C2×#4114yes—
1140C22×C4C2×#4114yes—
1141C22×C4C2×#4114yes—
1142C22×C4C2×#4114yes—
1143C22×C4C2×#4114yes—
1144C22×C4C2×#4114yes—
1145C22×C42−1+414yes—
1146C22×C42−1+414yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2514yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2514yes—
1156C22×C4C2514yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2514yes—
1164C22×C4C2512yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2511yescharacteristic
1167C22×C4C2511yescharacteristic
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2511yescharacteristic
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—24no—
1176C4⋊C4—28no—
1177C4⋊C4—28no—
1178C4⋊C4—28no—
1179C4⋊C4—28no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—24no—
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—24no—
1189C4⋊C4—28no—
1190C4⋊C4—28no—
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—44no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—44no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
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—42no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4H(5,𝔽2)14yes—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—24no—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—28no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C42—24no—
1280C42—24no—
1281C42—24no—
1282C42—24no—
1283C42—24no—
1284C42—28no—
1285C42—24no—
1286C42—24no—
1287C42—24no—
1288C42—24no—
1289C42—42no—
1290C42—42no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—44no—
1296C42—42no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C42—42no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—28no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—44no—
1329C23—44no—
1330C23—82no—
1331C23—82no—
1332C23—82no—
1333C23—82no—
1334C23C22×#4112yes—
1335C23C22×#4112yes—
1336C23C22×#4112yes—
1337C23C2×2−1+412yes—
1338C23C2×2−1+412yes—
1339C23C2611yescharacteristic
1340Q8—48no—
1341Q8—48no—
1342Q8—48no—
1343Q8—84no—
1344Q8—82no—
1345D4—48no—
1346D4—82no—
1347D4—84no—
1348D4—84no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—28no—
1362C2×C4—28no—
1363C2×C4—28no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—48no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—48no—
1427C2×C4—48no—
1428C2×C4—84no—
1429C2×C4—84no—
1430C2×C4—84no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—84no—
1434C2×C4—84no—
1435C2×C4—84no—
1436C2×C4C22×#4112yes—
1437C2×C4C22×#4112yes—
1438C2×C4C22×#4112yes—
1439C2×C4C22×#4112yes—
1440C2×C4C2×H(5,𝔽2)14yes—
1441C2×C4C2×H(5,𝔽2)12yes—
1442C2×C4C2×2−1+414yes—
1443C2×C4C2×2−1+414yes—
1444C2×C4#58512yes—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—88no—
1473C22#350914yes—
1474C22C23×#4111yescharacteristic
1475C22C22×H(5,𝔽2)11yescharacteristic
1476C22C22×2−1+411yescharacteristic
1477C22C22×2−1+411yescharacteristic
1478C22C2×#58511yescharacteristic
1479C22H(7,𝔽2)11yescharacteristic
1480C222−1+611yescharacteristic
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—24no—
1485C4—24no—
1486C4—24no—
1487C4—42no—
1488C4—44no—
1489C4—44no—
1490C4—42no—
1491C4—44no—
1492C4—44no—
1493C4—42no—
1494C4—42no—
1495C4—44no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—44no—
1505C4#350514yes—
1506C2—24no—
1507C2—42no—
1508C2—42no—
1509C2—82no—
1510C2C2×#350511yescharacteristic
1511C2C2×#350911yescharacteristic
1512C2#6285611yescharacteristic
1513C2#6290211yescharacteristic
1514C2#6290411yescharacteristic
1515C2#6291511yescharacteristic
1516C2#6291711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48911C2semidirect
2. #48908C2semidirect
3. #47235C2semidirect
4. #46403C2semidirect
5. #43509C2semidirect
6. #43052C2semidirect
7. #39798C2semidirect
8. #39797C2semidirect
9. #39751C2semidirect
10. #39748C2semidirect
11. #39435C2semidirect
12. #39067C2semidirect
13. #38261C2semidirect
14. #38122C2semidirect
15. #37971C2semidirect
16. #37705C2semidirect
18. #37398C2semidirect
19. #37369C2semidirect
20. #36278C2semidirect
21. #36189C2semidirect
22. #35671C2semidirect
23. #35613C2semidirect
25. #35011C2semidirect
26. C2×#2441C2semidirect
27. #34380C2semidirect
28. #34203C2semidirect
30. C2×#541C22semidirect
38. #2863C22semidirect
39. #2859C22semidirect
43. #2857C22semidirect
44. #2855C22semidirect
47. #2805C22semidirect
48. #2802C22semidirect
49. #2802C22semidirect
50. #2791C22semidirect
51. #2788C22semidirect
52. #2783C22semidirect
53. #2783C22semidirect
54. #2777C22semidirect
55. #2776C22semidirect
56. #2774C22semidirect
59. #2767C22semidirect
63. #2758C22semidirect
64. #2755C22semidirect
65. #2755C22semidirect
67. #2745C22semidirect
71. #2740C22semidirect
75. #2726C22semidirect
76. #2725C22semidirect
77. #2725C22semidirect
78. #2725C22semidirect
79. #2719C22semidirect
80. #2719C22semidirect
81. #2715C22semidirect
82. #2713C22semidirect
90. #2645C22semidirect
91. #2642C22semidirect
93. #2629C22semidirect
96. #2625C22semidirect
104. #2608C22semidirect
105. #2606C22semidirect
106. #2604C22semidirect
108. #2601C22semidirect
109. #2590C22semidirect
110. #2590C22semidirect
111. #2588C22semidirect
112. #2588C22semidirect
113. #2587C22semidirect
114. #2584C22semidirect
118. #2577C22semidirect
122. #2570C22semidirect
128. #2550C22semidirect
129. #2528C22semidirect
130. #2521C22semidirect
131. #2520C22semidirect
133. #2511C22semidirect
134. #2511C22semidirect
136. #2508C22semidirect
137. #2507C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
140. #2506C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2489C22semidirect
147. #2489C22semidirect
155. #2478C22semidirect
159. #2469C22semidirect
160. #2462C22semidirect
161. #2453C22semidirect
162. #2453C22semidirect
163. #2446C22semidirect
164. #2446C22semidirect
175. #2441C22semidirect
178. #2429C22semidirect
179. #2429C22semidirect
180. #2423C22semidirect
181. #2423C22semidirect
214. #2330C22semidirect
225. #2323C22semidirect
228. #2320C22semidirect
238. C4×C4⋊Q8C22semidirect
241. C4×C22⋊Q8C22semidirect
244. #2295C22semidirect
252. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#489112
#489082
#472352
#464032
#435092
#430522
#397982
#397972
#397512
#397482
#394352
#390672
#382612
#381222
#379712
#377052
#374422
#373982
#373692
#362782
#361892
#356712
#356132
#353062
#350112
C2×#24412
#343802
#342032
#340822