Finite Group Databasebeta

← #7683892

Subgroups — #7683892

Order 512.

5302 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60042C212yesmaximal, complemented
2#59991C214yesmaximal, complemented
3#59951C211yesmaximal, characteristic, complemented
4#59908C211yesmaximal, characteristic, complemented
5#59841C211yesmaximal, characteristic, complemented
6#59832C211yesmaximal, characteristic, complemented
7#59767C212yesmaximal, complemented
8#59726C214yesmaximal, complemented
9#59659C212yesmaximal, complemented
10#59652C212yesmaximal, complemented
11#59182C212yesmaximal, complemented
12#59084C212yesmaximal, complemented
13#45208C212yesmaximal, complemented
14#45112C212yesmaximal, complemented
15#45078C212yesmaximal, complemented
16#44897C212yesmaximal, complemented
17#44707C212yesmaximal, complemented
18#44657C212yesmaximal, complemented
19#44605C214yesmaximal, complemented
20#43488C212yesmaximal, complemented
21#43437C214yesmaximal, complemented
22#43389C212yesmaximal, complemented
23#35607C212yesmaximal, complemented
24#35573C212yesmaximal, complemented
25#35568C212yesmaximal, complemented
26#34979C211yesmaximal, characteristic, complemented
27#34937C211yesmaximal, characteristic, complemented
28#34910C211yesmaximal, characteristic, complemented
29#34306C212yesmaximal, complemented
30#34299C212yesmaximal, complemented
31#34279C212yesmaximal, complemented
32C2×Q82C2212yes—
33C2×#555C2212yes—
34C2×#555C2212yes—
35C2×#554C2212yes—
36C2×#542C2212yes—
37C2×#542C2212yes—
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#532C2212yes—
41C2×#529C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43#2808C2214yes—
44#2803C2214yes—
45#2795C2212yes—
46#2783C2214yes—
47#2781C2214yes—
48#2775C2214yes—
49#2769C2212yes—
50#2737C2214yes—
51#2737C2214yes—
52#2734C2212yes—
53#2734C2212yes—
54#2733C2214yes—
55#2732C2214yes—
56#2731C2212yes—
57#2731C2212yes—
58#2731C2214yes—
59#2731C2214yes—
60#2731C2212yes—
61#2730C2214yes—
62#2730C2214yes—
63#2730C2214yes—
64#2730C2214yes—
65#2721C2214yes—
66#2714C2214yes—
67#2699C2212yes—
68#2694C2214yes—
69#2686C2214yes—
70#2673C2214yes—
71#2612C2214yes—
72#2611C2212yes—
73#2611C2212yes—
74#2610C2214yes—
75#2610C2214yes—
76#2609C2212yes—
77#2604C2214yes—
78#2602C2214yes—
79#2602C2212yes—
80#2602C2212yes—
81#2601C2214yes—
82#2601C2212yes—
83#2601C2212yes—
84#2593C2212yes—
85#2592C2212yes—
86#2582C2212yes—
87#2574C2214yes—
88#2572C2212yes—
89#2568C2211yescharacteristic
90#2566C2211yescharacteristic
91#2565C2211yescharacteristic
92#2564C2214yes—
93#2563C2212yes—
94#2560C2214yes—
95#2559C2214yes—
96#2558C2214yes—
97#2557C2214yes—
98#2556C2214yes—
99#2555C2214yes—
100#2555C2214yes—
101#2554C2214yes—
102#2553C2214yes—
103#2551C2212yes—
104#2551C2212yes—
105#2548C2211yescharacteristic
106#2548C2214yes—
107#2547C2211yescharacteristic
108#2547C2211yescharacteristic
109#2546C2211yescharacteristic
110#2546C2212yes—
111#2546C2211yescharacteristic
112#2545C2212yes—
113#2545C2211yescharacteristic
114#2545C2214yes—
115#2545C2212yes—
116#2544C2212yes—
117#2544C2212yes—
118#2544C2211yescharacteristic
119#2543C2212yes—
120#2543C2212yes—
121#2542C2211yescharacteristic
122#2541C2211yescharacteristic
123#2540C2212yes—
124#2540C2212yes—
125#2540C2212yes—
126#2538C2212yes—
127#2538C2214yes—
128#2537C2212yes—
129#2532C2214yes—
130#2531C2214yes—
131#2529C2214yes—
132#2529C2214yes—
133#2526C2214yes—
134#2526C2214yes—
135#2521C2214yes—
136#2519C2214yes—
137#2518C2214yes—
138#2518C2214yes—
139#2500C2211yescharacteristic
140#2499C2211yescharacteristic
141#2499C2212yes—
142#2492C2212yes—
143#2492C2212yes—
144#2491C2214yes—
145#2491C2214yes—
146#2491C2212yes—
147#2491C2214yes—
148#2491C2214yes—
149#2491C2212yes—
150#2490C2214yes—
151#2479C2214yes—
152#2476C2214yes—
153#2476C2214yes—
154#2471C2214yes—
155#2467C2214yes—
156#2464C2214yes—
157#2461C2214yes—
158#2459C2214yes—
159#2456C2214yes—
160#2452C2214yes—
161#2452C2214yes—
162#2451C2214yes—
163#2451C2214yes—
164#2441C2214yes—
165#2439C2214yes—
166#2439C2214yes—
167#2432C2214yes—
168#2432C2212yes—
169#2432C2211yescharacteristic
170#2431C2211yescharacteristic
171#2430C2214yes—
172#2429C2212yes—
173#2428C2214yes—
174#2428C2212yes—
175#2427C2212yes—
176#2426C2214yes—
177#2426C2214yes—
178#2426C2214yes—
179#2426C2214yes—
180#2426C2212yes—
181#2417C2212yes—
182#2416C2212yes—
183#2416C2212yes—
184#2416C2212yes—
185#2415C2212yes—
186#2415C2212yes—
187#2415C2212yes—
188#2414C2212yes—
189#2395C2212yes—
190#2395C2212yes—
191#2392C2212yes—
192#2392C2212yes—
193#2392C2212yes—
194#2392C2212yes—
195#2374C2214yes—
196#2373C2214yes—
197#2373C2214yes—
198#2372C2214yes—
199#2372C2212yes—
200#2372C2214yes—
201#2372C2214yes—
202#2371C2214yes—
203#2369C2212yes—
204#2368C2214yes—
205#2368C2214yes—
206#2367C2214yes—
207#2367C2214yes—
208#2365C2212yes—
209#2365C2212yes—
210#2364C2214yes—
211#2363C2212yes—
212#2363C2214yes—
213#2362C2214yes—
214#2362C2214yes—
215#2362C2212yes—
216#2361C2212yes—
217#2360C2212yes—
218#2359C2214yes—
219#2357C2212yes—
220#2356C2212yes—
221#2353C2214yes—
222#2352C2212yes—
223#2352C2212yes—
224#2347C2212yes—
225#2346C2212yes—
226#2345C2212yes—
227#2344C2212yes—
228#2343C2214yes—
229#2337C2214yes—
230#2336C2214yes—
231#2333C2214yes—
232#2332C2214yes—
233#2331C2212yes—
234#2326C2212yes—
235#2324C2212yes—
236#2324C2212yes—
237#2323C2212yes—
238#2323C2212yes—
239#2314C2212yes—
240C4×C4⋊Q8C2212yes—
241C4×C4⋊Q8C2211yescharacteristic
242C4×C4⋊Q8C2212yes—
243C4×#127C2211yescharacteristic
244C4×#124C2214yes—
245C4×#124C2212yes—
246C4×#124C2211yescharacteristic
247C4×#124C2212yes—
248C4×#124C2211yescharacteristic
249C4×C22⋊Q8C2212yes—
250C4×C22⋊Q8C2214yes—
251C4×C22⋊Q8C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254#2298C2214yes—
255#2297C2212yes—
256#2295C2212yes—
257#2293C2212yes—
258#2290C2212yes—
259#2290C2212yes—
260#2290C2214yes—
261#2276C2212yes—
262#2275C2212yes—
263#2274C2212yes—
264C4×#117C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C2×C4×C4⋊C4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269Q82—48no—
270#555—216no—
271#555—48no—
272#554—216no—
273#542—216no—
274#542—48no—
275#533—44no—
276#532—44no—
277#532—48no—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2314yes—
286C2×C4⋊Q8C2314yes—
287C2×C4⋊Q8C2314yes—
288C2×C4⋊Q8C2312yes—
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2311yescharacteristic
292#529—44no—
293C2×#126C2314yes—
294C2×#126C2312yes—
295C2×#126C2314yes—
296C2×#125C2314yes—
297C2×#125C2311yescharacteristic
298C2×#125C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2311yescharacteristic
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309C2×#124C2311yescharacteristic
310C2×#124C2312yes—
311C2×#124C2311yescharacteristic
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C4×#41—44no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2314yes—
380C2×#117C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2312yes—
395#399C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2312yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#397C2314yes—
407#397C2312yes—
408#397C2312yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2312yes—
418#396C2312yes—
419#396C2314yes—
420#396C2312yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2312yes—
437#394C2314yes—
438#394C2312yes—
439#394C2312yes—
440#394C2314yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2312yes—
467#392C2312yes—
468#392C2314yes—
469#392C2314yes—
470#392C2312yes—
471#392C2312yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2312yes—
656#384C2312yes—
657#383C2314yes—
658#383C2314yes—
659#382C2314yes—
660#382C2311yescharacteristic
661#382C2311yescharacteristic
662#382C2312yes—
663#382C2312yes—
664#382C2314yes—
665#381C2314yes—
666#381C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2311yescharacteristic
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2311yescharacteristic
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734#376C2312yes—
735#376C2312yes—
736#376C2314yes—
737#376C2314yes—
738#376C2314yes—
739#376C2314yes—
740C2×#95C2314yes—
741C2×#95C2312yes—
742C43C2311yescharacteristic
743C43C2312yes—
744C43C2311yescharacteristic
745C2×#41—24no—
746C2×#41—42no—
747C2×#41—44no—
748C2×#41—42no—
749C2×#41—44no—
750C2×#41—44no—
751C22×Q8C2412yes—
752C22×Q8C2412yes—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2414yes—
756C22×Q8C2414yes—
757C22×Q8C2411yescharacteristic
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C23×C4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2411yescharacteristic
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C4⋊Q8—28no—
789C4⋊Q8—28no—
790C4⋊Q8—24no—
791C4⋊Q8—42no—
792C4⋊Q8—42no—
793C4⋊Q8—44no—
794C4⋊Q8—42no—
795C4⋊Q8—48no—
796C4⋊Q8—48no—
797C4⋊Q8—48no—
798C4⋊Q8#41116yescomplemented
799#127—42no—
800#127—44no—
801#127—42no—
802#126—216no—
803#126—44no—
804#126—48no—
805#125—216no—
806#125—42no—
807#125—44no—
808#124—216no—
809#124—216no—
810#124—216no—
811#124—28no—
812#124—24no—
813#124—28no—
814#124—42no—
815#124—44no—
816#124—48no—
817#124—44no—
818#124—44no—
819#124—44no—
820#124—48no—
821#124—42no—
822#124—48no—
823#123—216no—
824#123—44no—
825#123—48no—
826C22⋊Q8—216no—
827C22⋊Q8—216no—
828C22⋊Q8—216no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—42no—
833C22⋊Q8—44no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—216no—
841#121—42no—
842#121—44no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—44no—
849#121—44no—
850C4×Q8—28no—
851C4×Q8—28no—
852C4×Q8—28no—
853C4×Q8—42no—
854C4×Q8—42no—
855C4×Q8—42no—
856C4×Q8—44no—
857C4×Q8—48no—
858C4×Q8—48no—
859C4×Q8—48no—
860C4×D4—28no—
861C4×D4—216no—
862C4×D4—28no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—28no—
866C4×D4—48no—
867C4×D4—42no—
868C4×D4—42no—
869C4×D4—42no—
870C4×D4—42no—
871C4×D4—42no—
872C4×D4—42no—
873C4×D4—42no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—48no—
877C4×D4—48no—
878#117—28no—
879#117—28no—
880#117—216no—
881#117—28no—
882#117—28no—
883#117—42no—
884#117—42no—
885#117—42no—
886#117—44no—
887#117—48no—
888#117—48no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—28no—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C42—24no—
1002C2×C42—24no—
1003C2×C42—24no—
1004C2×C42—44no—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093C24C2511yescharacteristic
1094C24C2514yes—
1095C24C2512yes—
1096C24C2511yescharacteristic
1097C24C2511yescharacteristic
1098#41—416no—
1099#41—816no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—24no—
1103C2×Q8—24no—
1104C2×Q8—24no—
1105C2×Q8—22no—
1106C2×Q8—44no—
1107C2×Q8—41no—
1108C2×Q8—44no—
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—41no—
1114C2×Q8—42no—
1115C2×Q8—42no—
1116C2×Q8—44no—
1117C2×Q8—44no—
1118C2×Q8—44no—
1119C2×Q8C2×#41116yes—
1120C2×Q8H(5,𝔽2)14yes—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—41no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—41no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—41no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—28no—
1183C22×C4—28no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—28no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4C2511yescharacteristic
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2514yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4C2×#4118yes—
1280C4⋊C4C2×#4118yes—
1281C4⋊C4C2×#41116yes—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C42—28no—
1341C42—28no—
1342C42—24no—
1343C42—28no—
1344C42—28no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—28no—
1359C42—24no—
1360C42—22no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—41no—
1371C42—42no—
1372C42—44no—
1373C42—41no—
1374C42C2×#4118yes—
1375C42H(5,𝔽2)14yes—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—24no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—24no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—24no—
1396C23—21no—
1397C23—22no—
1398C23—24no—
1399C23—22no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23#58512yes—
1405C23C2611yescharacteristic
1406Q8—416no—
1407Q8—44no—
1408Q8—48no—
1409Q8—82no—
1410Q8—84no—
1411Q8—84no—
1412Q8—164no—
1413D4—48no—
1414D4—44no—
1415D4—44no—
1416D4—44no—
1417D4—48no—
1418D4—88no—
1419D4—88no—
1420D4—88no—
1421D4—84no—
1422D4—82no—
1423D4—84no—
1424D4—88no—
1425D4—84no—
1426D4—84no—
1427D4—164no—
1428C2×C4—28no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—48no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—88no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4—88no—
1499C2×C4—82no—
1500C2×C4—82no—
1501C2×C4—88no—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4118yes—
1504C2×C4C22×#4118yes—
1505C2×C4C22×#4114yes—
1506C2×C4C22×#4114yes—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4C2×H(5,𝔽2)12yes—
1510C2×C4C2×H(5,𝔽2)12yes—
1511C2×C4C2×H(5,𝔽2)12yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C22—24no—
1514C22—22no—
1515C22—42no—
1516C22—41no—
1517C22—41no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—42no—
1522C22—44no—
1523C22—42no—
1524C22—44no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—44no—
1530C22—41no—
1531C22—41no—
1532C22—44no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—42no—
1537C22—44no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—44no—
1542C22C23×#4112yes—
1543C22C22×H(5,𝔽2)11yescharacteristic
1544C22C22×H(5,𝔽2)11yescharacteristic
1545C22C2×#58511yescharacteristic
1546C222−1+612yes—
1547C4—28no—
1548C4—28no—
1549C4—24no—
1550C4—24no—
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—44no—
1560C4—44no—
1561C4—44no—
1562C4—42no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—44no—
1572C4#348314yes—
1573C2—42no—
1574C2—82no—
1575C2—84no—
1576C2—81no—
1577C2—81no—
1578C2C2×#348311yescharacteristic
1579C2#6281811yescharacteristic
1580C2#6288611yescharacteristic
1581C2#6298412yes—
1582C2#6300512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60042C2semidirect
2. #59991C2semidirect
3. #59951C2semidirect
4. #59908C2semidirect
5. #59841C2semidirect
6. #59832C2semidirect
7. #59767C2semidirect
8. #59726C2semidirect
9. #59659C2semidirect
10. #59652C2semidirect
11. #59182C2semidirect
12. #59084C2semidirect
13. #45208C2semidirect
14. #45112C2semidirect
15. #45078C2semidirect
16. #44897C2semidirect
17. #44707C2semidirect
18. #44657C2semidirect
19. #44605C2semidirect
20. #43488C2semidirect
21. #43437C2semidirect
22. #43389C2semidirect
23. #35607C2semidirect
24. #35573C2semidirect
25. #35568C2semidirect
26. #34979C2semidirect
27. #34937C2semidirect
28. #34910C2semidirect
29. #34306C2semidirect
30. #34299C2semidirect
31. #34279C2semidirect
798. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600422
#599912
#599512
#599082
#598412
#598322
#597672
#597262
#596592
#596522
#591822
#590842
#452082
#451122
#450782
#448972
#447072
#446572
#446052
#434882
#434372
#433892
#356072
#355732
#355682
#349792
#349372
#349102
#343062
#342992
#342792