Finite Group Databasebeta

← #7716054

Subgroups — #7716054

Order 512.

5242 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50596C214yesmaximal, complemented
2#50536C214yesmaximal, complemented
3#49490C214yesmaximal, complemented
4#49390C214yesmaximal, complemented
5#45062C212yesmaximal, complemented
6#45055C212yesmaximal, complemented
7#45028C212yesmaximal, complemented
8#45022C212yesmaximal, complemented
9#44937C212yesmaximal, complemented
10#44930C212yesmaximal, complemented
11#44926C212yesmaximal, complemented
12#44920C212yesmaximal, complemented
13#39767C211yesmaximal, characteristic, complemented
14#39764C212yesmaximal, complemented
15#39723C212yesmaximal, complemented
16#39631C211yesmaximal, characteristic, complemented
17#39627C212yesmaximal, complemented
18#37789C214yesmaximal, complemented
19#36826C214yesmaximal, complemented
20#36576C211yesmaximal, characteristic, complemented
21Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
22#36103C212yesmaximal, complemented
23#35230C212yesmaximal, complemented
24#35032C212yesmaximal, complemented
25#35022C212yesmaximal, complemented
26#35005C211yesmaximal, characteristic, complemented
27#34570C211yesmaximal, characteristic, complemented
28#34472C212yesmaximal, complemented
29C2×#2360C211yesmaximal, characteristic, complemented
30C2×Q82C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yes—
33C2×#547C2212yes—
34C2×#538C2212yes—
35C2×#525C2214yes—
36C22×C22⋊Q8C2211yescharacteristic
37C22×C4×Q8C2211yescharacteristic
38C23×C4⋊C4C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2212yes—
41#2856C2212yes—
42#2856C2211yescharacteristic
43#2852C2214yes—
44#2850C2214yes—
45#2849C2214yes—
46#2847C2212yes—
47#2808C2212yescomplemented
48#2807C2214yescomplemented
49#2805C2212yescomplemented
50#2802C2214yescomplemented
51#2801C2214yescomplemented
52#2800C2214yescomplemented
53#2796C2214yescomplemented
54#2796C2214yescomplemented
55#2794C2214yescomplemented
56#2790C2214yescomplemented
57#2790C2214yescomplemented
58#2780C2214yescomplemented
59#2777C2214yescomplemented
60#2774C2214yescomplemented
61#2772C2214yescomplemented
62#2766C2214yescomplemented
63#2757C2214yescomplemented
64#2751C2214yescomplemented
65#2742C2214yescomplemented
66#2738C2214yescomplemented
67#2732C2212yescomplemented
68#2730C2214yes—
69#2730C2214yes—
70#2729C2214yescomplemented
71#2729C2214yescomplemented
72#2728C2214yes—
73#2728C2214yes—
74#2724C2212yescomplemented
75#2723C2214yescomplemented
76#2718C2214yes—
77#2718C2214yescomplemented
78#2717C2214yes—
79#2709C2214yescomplemented
80#2706C2214yes—
81#2701C2214yes—
82#2701C2214yes—
83#2701C2214yescomplemented
84#2698C2214yes—
85#2674C2214yes—
86#2674C2214yescomplemented
87#2672C2214yescomplemented
88#2671C2214yes—
89#2653C2212yes—
90#2652C2212yes—
91#2651C2214yescomplemented
92#2650C2214yescomplemented
93#2649C2212yes—
94#2648C2212yes—
95#2646C2211yescharacteristic
96#2646C2212yes—
97#2643C2212yes—
98#2639C2211yescharacteristic
99#2639C2212yes—
100#2639C2212yes—
101#2626C2211yescharacteristic
102#2622C2212yes—
103#2617C2211yescharacteristic
104#2617C2214yes—
105#2617C2212yes—
106#2602C2214yes—
107#2602C2214yes—
108#2602C2214yes—
109#2602C2214yes—
110#2597C2214yescomplemented
111#2595C2214yescomplemented
112#2591C2214yes—
113#2582C2212yescomplemented
114#2582C2211yescharacteristic, complemented
115#2580C2212yescomplemented
116#2579C2214yes—
117#2573C2214yes—
118#2572C2214yes—
119#2570C2212yescomplemented
120#2567C2211yescharacteristic, complemented
121#2567C2212yescomplemented
122#2559C2214yes—
123#2557C2214yes—
124#2554C2214yes—
125#2553C2214yes—
126#2548C2212yescomplemented
127#2548C2211yescharacteristic, complemented
128#2538C2212yescomplemented
129#2538C2211yescharacteristic, complemented
130#2536C2212yes—
131#2536C2212yes—
132#2522C2214yescomplemented
133#2521C2214yescomplemented
134#2520C2214yescomplemented
135#2516C2214yes—
136#2516C2214yescomplemented
137#2515C2214yes—
138#2515C2214yescomplemented
139#2513C2212yescomplemented
140#2512C2212yescomplemented
141#2508C2212yescomplemented
142#2507C2212yescomplemented
143#2505C2214yescomplemented
144#2504C2212yes—
145#2501C2212yes—
146#2500C2214yes—
147#2499C2214yes—
148#2497C2212yescomplemented
149#2496C2212yes—
150#2495C2212yescomplemented
151#2491C2212yes—
152#2491C2212yescomplemented
153#2487C2212yes—
154#2487C2212yescomplemented
155#2486C2212yes—
156#2478C2214yes—
157#2470C2214yes—
158#2466C2214yes—
159#2461C2214yes—
160#2458C2214yes—
161#2458C2214yescomplemented
162#2457C2214yes—
163#2451C2214yescomplemented
164#2451C2212yescomplemented
165#2450C2214yes—
166#2450C2214yescomplemented
167#2449C2214yes—
168#2449C2214yes—
169#2449C2214yes—
170#2445C2212yescomplemented
171#2444C2214yes—
172#2443C2214yes—
173#2443C2214yes—
174#2443C2214yes—
175#2440C2212yes—
176#2440C2212yes—
177#2440C2214yes—
178#2440C2212yescomplemented
179#2432C2214yes—
180#2432C2214yes—
181#2431C2214yes—
182#2430C2214yes—
183#2428C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2426C2212yescomplemented
187#2426C2214yescomplemented
188#2422C2212yes—
189#2422C2214yes—
190#2421C2212yes—
191#2421C2212yes—
192#2419C2214yes—
193#2416C2212yes—
194#2416C2212yes—
195#2416C2214yes—
196#2413C2214yes—
197#2407C2212yes—
198#2407C2212yes—
199#2406C2214yes—
200#2401C2212yes—
201#2398C2212yes—
202#2395C2212yes—
203#2392C2212yes—
204#2379C2214yescomplemented
205#2378C2214yescomplemented
206#2367C2212yescomplemented
207#2364C2214yes—
208#2361C2212yes—
209#2361C2212yes—
210#2360C2212yes—
211#2360C2214yes—
212#2360C2214yes—
213#2360C2212yes—
214#2360C2212yes—
215#2360C2212yes—
216#2360C2212yescomplemented
217#2355C2212yescomplemented
218Q8×C4⋊C4C2211yescharacteristic, complemented
219Q8×C4⋊C4C2212yescomplemented
220Q8×C4⋊C4C2211yescharacteristic, complemented
221#2349C2214yes—
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2212yes—
224#2344C2212yes—
225#2341C2212yescomplemented
226Q8×C22⋊C4C2212yes—
227#2339C2212yescomplemented
228#2337C2214yescomplemented
229#2331C2212yescomplemented
230#2329C2214yescomplemented
231#2326C2212yescomplemented
232#2325C2212yes—
233#2325C2212yes—
234#2325C2212yes—
235#2325C2214yes—
236#2324C2212yescomplemented
237#2323C2212yescomplemented
238#2321C2214yes—
239#2320C2212yescomplemented
240#2319C2212yescomplemented
241#2318C2214yes—
242#2314C2212yescomplemented
243#2311C2212yescomplemented
244C4×C22⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2212yes—
246C4×#121C2211yescharacteristic
247C4×#121C2212yes—
248C4×#121C2212yes—
249C4×#120C2212yes—
250C2×#391C2211yescharacteristic
251C2×#389C2211yescharacteristic
252C2×#389C2212yes—
253#2290C2212yes—
254C2×#387C2212yes—
255C2×#385C2212yes—
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×Q8C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2312yes—
264Q82—44no—
265#550—44no—
266#548—216no—
267#547—48no—
268#538—48no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2314yes—
273C2×#127C2311yescharacteristic
274C2×#127C2312yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#124C2312yes—
278C2×#124C2314yes—
279C2×#124C2314yes—
280C2×#124C2314yes—
281#525—416no—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2311yescharacteristic
304C2×#121C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#120C2314yes—
314C2×#120C2312yes—
315C2×C4×Q8—44no—
316C2×C4×Q8C2312yes—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C22×C4⋊C4—44no—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2314yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C42C2312yes—
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2312yes—
361#401C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2312yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2312yes—
390#398C2312yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2312yes—
401#397C2314yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2312yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2312yes—
418#396C2314yes—
419#396C2314yes—
420#396C2312yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2312yes—
437#394C2314yes—
438#394C2312yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#393C2312yes—
457#393C2314yes—
458#393C2312yes—
459#393C2314yes—
460#393C2314yes—
461#392C2312yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#385C2314yes—
617#385C2312yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#384C2312yes—
648#384C2314yes—
649#384C2311yescharacteristic
650#384C2312yes—
651#384C2311yescharacteristic
652#384C2312yes—
653#384C2312yes—
654#383C2314yes—
655#383C2314yes—
656#382C2312yes—
657#382C2312yes—
658#382C2314yes—
659#382C2314yes—
660#382C2314yes—
661#381C2314yes—
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#380C2314yes—
666#380C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#380C2314yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2311yescharacteristic
680#379C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713#376C2312yes—
714C2×#95C2312yes—
715C2×#95C2311yescharacteristic
716C2×#95C2312yes—
717C2×#95C2314yes—
718C2×#95C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2312yes—
721C25C2411yescharacteristic
722C2×#41—28no—
723C2×#41—48no—
724C2×#41—48no—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—84no—
728C22×Q8—42no—
729C22×Q8—42no—
730C22×Q8#4118yescomplemented
731C22×Q8C2411yescharacteristic
732C22×Q8C2411yescharacteristic
733C22×Q8C2411yescharacteristic
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×D4C2414yes—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C23×C4—28no—
750C23×C4—24no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4—44no—
754C23×C4—82no—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C4⋊Q8—28no—
775C4⋊Q8—42no—
776C4⋊Q8—44no—
777C4⋊Q8—48no—
778#127—42no—
779#127—44no—
780#126—48no—
781#126—84no—
782#124—28no—
783#124—216no—
784#124—48no—
785#124—84no—
786#123—48no—
787#123—48no—
788#123—48no—
789#123—48no—
790#123—48no—
791#123—84no—
792#123—84no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—216no—
796C22⋊Q8—28no—
797C22⋊Q8—216no—
798C22⋊Q8—24no—
799C22⋊Q8—48no—
800C22⋊Q8—48no—
801C22⋊Q8—44no—
802C22⋊Q8—48no—
803C22⋊Q8—84no—
804#121—28no—
805#121—216no—
806#121—28no—
807#121—24no—
808#121—28no—
809#121—48no—
810#121—48no—
811#121—44no—
812#121—44no—
813#121—48no—
814#121—48no—
815#121—44no—
816#120—28no—
817#120—216no—
818C4×Q8—28no—
819C4×Q8—24no—
820C4×Q8—24no—
821C4×Q8—42no—
822C4×Q8—44no—
823C4×Q8—44no—
824C4×Q8—44no—
825C4×Q8—42no—
826C4×Q8—42no—
827C4×Q8—44no—
828C4×Q8—44no—
829C4×D4—28no—
830C4×D4—216no—
831C4×D4—44no—
832C4×D4—44no—
833C4×D4—44no—
834C4×D4—44no—
835C4×D4—44no—
836C4×D4—42no—
837C4×D4—48no—
838C4×D4—48no—
839C4×D4—48no—
840C4×D4—48no—
841C4×D4—48no—
842#117—44no—
843#117—48no—
844C2×C4⋊C4—24no—
845C2×C4⋊C4—28no—
846C2×C4⋊C4—24no—
847C2×C4⋊C4—28no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—44no—
850C2×C4⋊C4—48no—
851C2×C4⋊C4—44no—
852C2×C4⋊C4—44no—
853C2×C4⋊C4—44no—
854C2×C4⋊C4—82no—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C22⋊C4—24no—
915C2×C22⋊C4—28no—
916C2×C22⋊C4—24no—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C42—42no—
971C2×C42—44no—
972C2×C42—42no—
973C2×C42—82no—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2411yescharacteristic
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2414yes—
981C2×C42C2411yescharacteristic
982C2×C42C2412yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2412yes—
995#95C2412yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053C24—22no—
1054C24—22no—
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059C24H(5,𝔽2)14yes—
1060C24C2514yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064#41—816no—
1065#41—832no—
1066C2×Q8—22no—
1067C2×Q8—22no—
1068C2×Q8—28no—
1069C2×Q8—22no—
1070C2×Q8—22no—
1071C2×Q8—22no—
1072C2×Q8—41no—
1073C2×Q8—42no—
1074C2×Q8—42no—
1075C2×Q8—41no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—42no—
1079C2×Q8—42no—
1080C2×Q8—42no—
1081C2×Q8—416no—
1082C2×Q8C2×#4114yes—
1083C2×Q8C2×#4114yes—
1084C2×Q8C2×#4118yes—
1085C2×D4—24no—
1086C2×D4—28no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—28no—
1090C2×D4—24no—
1091C2×D4—28no—
1092C2×D4—24no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—22no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—41no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—41no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—24no—
1124C22×C4—22no—
1125C22×C4—28no—
1126C22×C4—24no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—24no—
1131C22×C4—28no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—28no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—28no—
1142C22×C4—41no—
1143C22×C4—42no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—41no—
1150C22×C4—42no—
1151C22×C4—41no—
1152C22×C4—44no—
1153C22×C4—41no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—44no—
1159C22×C4—42no—
1160C22×C4—44no—
1161C22×C4—41no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—41no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—416no—
1176C22×C4—816no—
1177C22×C4C2×#4114yes—
1178C22×C4C2×#4118yes—
1179C22×C42−1+414yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—28no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—28no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—42no—
1227C4⋊C4—44no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—41no—
1234C4⋊C4—42no—
1235C4⋊C4—41no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—41no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4H(5,𝔽2)14yes—
1264C22⋊C4—24no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—24no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—44no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C42—28no—
1318C42—24no—
1319C42—24no—
1320C42—22no—
1321C42—24no—
1322C42—22no—
1323C42—24no—
1324C42—24no—
1325C42—24no—
1326C42—42no—
1327C42—42no—
1328C42—41no—
1329C42—42no—
1330C42—41no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—28no—
1349C23—22no—
1350C23—24no—
1351C23—24no—
1352C23—22no—
1353C23—24no—
1354C23—22no—
1355C23—24no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—24no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23C22×#4112yes—
1370C23C2×H(5,𝔽2)14yes—
1371C23C2×H(5,𝔽2)12yes—
1372C23C2×2−1+412yes—
1373C23C2611yescharacteristic
1374Q8—28no—
1375Q8—28no—
1376Q8—48no—
1377Q8—44no—
1378Q8—88no—
1379Q8—162no—
1380D4—48no—
1381D4—48no—
1382D4—48no—
1383D4—416no—
1384D4—48no—
1385D4—84no—
1386D4—82no—
1387D4—88no—
1388D4—88no—
1389D4—88no—
1390D4—88no—
1391D4—162no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—28no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—48no—
1460C2×C4—44no—
1461C2×C4—48no—
1462C2×C4—416no—
1463C2×C4—48no—
1464C2×C4—48no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—48no—
1468C2×C4—48no—
1469C2×C4—88no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—88no—
1473C2×C4—84no—
1474C2×C4—88no—
1475C2×C4—88no—
1476C2×C4—164no—
1477C2×C4C22×#4114yes—
1478C2×C4C22×#4114yes—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4112yes—
1481C2×C4C2×H(5,𝔽2)14yes—
1482C2×C4C2×H(5,𝔽2)12yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4C2×2−1+412yes—
1485C2×C4#58512yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—416no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—44no—
1502C22—42no—
1503C22—44no—
1504C22—44no—
1505C22—42no—
1506C22—42no—
1507C22—44no—
1508C22—44no—
1509C22—42no—
1510C22—44no—
1511C22—42no—
1512C22—42no—
1513C22—44no—
1514C22#352214yes—
1515C22C23×#4111yescharacteristic
1516C22C22×H(5,𝔽2)11yescharacteristic
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22H(7,𝔽2)11yescharacteristic
1521C222−1+611yescharacteristic
1522C4—22no—
1523C4—24no—
1524C4—24no—
1525C4—24no—
1526C4—22no—
1527C4—22no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—44no—
1532C4—42no—
1533C4—44no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—44no—
1538C4—41no—
1539C4—41no—
1540C4—42no—
1541C4—42no—
1542C4—44no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4#350514yes—
1547C2—24no—
1548C2—44no—
1549C2—82no—
1550C2—84no—
1551C2C2×#350511yescharacteristic
1552C2C2×#352211yescharacteristic
1553C2#6285111yescharacteristic
1554C2#6289211yescharacteristic
1555C2#6289311yescharacteristic
1556C2#6290111yescharacteristic
1557C2#6292611yescharacteristic
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. #50596C2semidirect
2. #50536C2semidirect
3. #49490C2semidirect
4. #49390C2semidirect
5. #45062C2semidirect
6. #45055C2semidirect
7. #45028C2semidirect
8. #45022C2semidirect
9. #44937C2semidirect
10. #44930C2semidirect
11. #44926C2semidirect
12. #44920C2semidirect
13. #39767C2semidirect
14. #39764C2semidirect
15. #39723C2semidirect
16. #39631C2semidirect
17. #39627C2semidirect
18. #37789C2semidirect
19. #36826C2semidirect
20. #36576C2semidirect
21. Q8×C22⋊Q8C2semidirect
22. #36103C2semidirect
23. #35230C2semidirect
24. #35032C2semidirect
25. #35022C2semidirect
26. #35005C2semidirect
27. #34570C2semidirect
28. #34472C2semidirect
29. C2×#2360C2semidirect
30. C2×Q82C22semidirect
31. C2×#550C22semidirect
47. #2808C22semidirect
48. #2807C22semidirect
49. #2805C22semidirect
50. #2802C22semidirect
51. #2801C22semidirect
52. #2800C22semidirect
53. #2796C22semidirect
54. #2796C22semidirect
55. #2794C22semidirect
56. #2790C22semidirect
57. #2790C22semidirect
58. #2780C22semidirect
59. #2777C22semidirect
60. #2774C22semidirect
61. #2772C22semidirect
62. #2766C22semidirect
63. #2757C22semidirect
64. #2751C22semidirect
65. #2742C22semidirect
66. #2738C22semidirect
67. #2732C22semidirect
70. #2729C22semidirect
71. #2729C22semidirect
74. #2724C22semidirect
75. #2723C22semidirect
77. #2718C22semidirect
79. #2709C22semidirect
83. #2701C22semidirect
86. #2674C22semidirect
87. #2672C22semidirect
91. #2651C22semidirect
92. #2650C22semidirect
110. #2597C22semidirect
111. #2595C22semidirect
113. #2582C22semidirect
114. #2582C22semidirect
115. #2580C22semidirect
119. #2570C22semidirect
120. #2567C22semidirect
121. #2567C22semidirect
126. #2548C22semidirect
127. #2548C22semidirect
128. #2538C22semidirect
129. #2538C22semidirect
132. #2522C22semidirect
133. #2521C22semidirect
134. #2520C22semidirect
136. #2516C22semidirect
138. #2515C22semidirect
139. #2513C22semidirect
140. #2512C22semidirect
141. #2508C22semidirect
142. #2507C22semidirect
143. #2505C22semidirect
148. #2497C22semidirect
150. #2495C22semidirect
152. #2491C22semidirect
154. #2487C22semidirect
161. #2458C22semidirect
163. #2451C22semidirect
164. #2451C22semidirect
166. #2450C22semidirect
170. #2445C22semidirect
178. #2440C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
204. #2379C22semidirect
205. #2378C22semidirect
206. #2367C22semidirect
216. #2360C22semidirect
217. #2355C22semidirect
218. Q8×C4⋊C4C22semidirect
219. Q8×C4⋊C4C22semidirect
220. Q8×C4⋊C4C22semidirect
225. #2341C22semidirect
227. #2339C22semidirect
228. #2337C22semidirect
229. #2331C22semidirect
230. #2329C22semidirect
231. #2326C22semidirect
236. #2324C22semidirect
237. #2323C22semidirect
239. #2320C22semidirect
240. #2319C22semidirect
242. #2314C22semidirect
243. #2311C22semidirect
730. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#505962
#505362
#494902
#493902
#450622
#450552
#450282
#450222
#449372
#449302
#449262
#449202
#397672
#397642
#397232
#396312
#396272
#377892
#368262
#365762
Q8×C22⋊Q82
#361032
#352302
#350322
#350222
#350052
#345702
#344722
C2×#23602