Finite Group Databasebeta

← #7713255

Subgroups — #7713255

Order 512.

6734 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3538C211yesmaximal, characteristic, complemented
2C2×#3536C211yesmaximal, characteristic, complemented
3#48828C214yesmaximal, complemented
4#48827C214yesmaximal, complemented
5#47949C214yesmaximal, complemented
6#47948C214yesmaximal, complemented
7#47216C212yesmaximal, complemented
8#47215C212yesmaximal, complemented
9#46820C212yesmaximal, complemented
10#46815C212yesmaximal, complemented
11#46430C212yesmaximal, complemented
12#46429C212yesmaximal, complemented
13#46360C212yesmaximal, complemented
14#46357C212yesmaximal, complemented
15#39166C214yesmaximal, complemented
16#38944C214yesmaximal, complemented
17#38087C214yesmaximal, complemented
18#38086C214yesmaximal, complemented
19#37447C211yesmaximal, characteristic, complemented
20#37446C211yesmaximal, characteristic, complemented
21#36742C212yesmaximal, complemented
22#36741C212yesmaximal, complemented
23#35158C212yesmaximal, complemented
24#35032C211yesmaximal, characteristic, complemented
25#35019C211yesmaximal, characteristic, complemented
26#35004C212yesmaximal, complemented
27C2×#2332C211yesmaximal, characteristic, complemented
28#3538—216no—
29#3536—216no—
30C2×#563C2214yes—
31C2×#562C2214yes—
32C2×#554C2212yes—
33C2×#552C2212yescomplemented
34C2×#552C2212yescomplemented
35C2×#551C2214yes—
36C2×D4×Q8C2212yescomplemented
37C2×D4×Q8C2212yescomplemented
38C2×#548C2212yes—
39C2×#547C2212yes—
40C2×#546C2214yes—
41C2×#546C2212yes—
42C2×#544C2212yescomplemented
43C2×#544C2212yescomplemented
44C2×#543C2212yes—
45C2×#542C2212yes—
46C2×#541C2212yes—
47C2×#539C2212yes—
48C2×#539C2212yescomplemented
49C2×#539C2212yescomplemented
50C2×#538C2212yes—
51C2×#537C2212yes—
52C2×#537C2212yes—
53C2×#536C2212yes—
54C2×#525C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic
58C22×#121C2211yescharacteristic
59#2857C2211yescharacteristic, complemented
60#2856C2211yescharacteristic, complemented
61#2854C2214yescomplemented
62#2850C2212yes—
63#2850C2212yes—
64#2850C2214yescomplemented
65#2850C2211yescharacteristic, complemented
66#2850C2211yescharacteristic, complemented
67#2817C2212yes—
68#2816C2212yes—
69#2816C2212yes—
70#2815C2212yes—
71#2731C2214yescomplemented
72#2731C2214yescomplemented
73#2730C2214yescomplemented
74#2730C2214yescomplemented
75#2729C2214yescomplemented
76#2729C2214yescomplemented
77#2728C2214yescomplemented
78#2728C2214yescomplemented
79#2723C2214yescomplemented
80#2721C2214yescomplemented
81#2720C2214yescomplemented
82#2719C2214yescomplemented
83#2716C2214yescomplemented
84#2716C2214yescomplemented
85#2714C2214yescomplemented
86#2714C2214yescomplemented
87#2713C2214yescomplemented
88#2713C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2710C2214yescomplemented
92#2706C2214yescomplemented
93#2703C2214yescomplemented
94#2703C2214yescomplemented
95#2700C2214yes—
96#2700C2214yescomplemented
97#2698C2214yes—
98#2696C2214yescomplemented
99#2696C2214yescomplemented
100#2694C2214yescomplemented
101#2694C2214yescomplemented
102#2692C2214yescomplemented
103#2692C2214yescomplemented
104#2690C2214yescomplemented
105#2690C2214yescomplemented
106#2689C2214yes—
107#2687C2214yes—
108#2687C2214yescomplemented
109#2685C2214yes—
110#2685C2214yes—
111#2681C2214yescomplemented
112#2678C2214yes—
113#2677C2214yescomplemented
114#2676C2214yescomplemented
115#2674C2214yescomplemented
116#2673C2214yescomplemented
117#2672C2214yescomplemented
118#2670C2214yes—
119#2659C2212yescomplemented
120#2656C2212yes—
121#2639C2212yes—
122#2639C2214yes—
123#2639C2212yescomplemented
124#2639C2214yescomplemented
125#2638C2214yes—
126#2635C2214yes—
127#2623C2212yes—
128#2623C2212yescomplemented
129#2618C2214yescomplemented
130#2617C2214yes—
131#2614C2212yescomplemented
132#2613C2212yes—
133#2602C2214yes—
134#2602C2214yescomplemented
135#2591C2212yes—
136#2591C2212yes—
137#2564C2214yescomplemented
138#2564C2214yescomplemented
139#2561C2212yes—
140#2561C2212yes—
141#2556C2214yescomplemented
142#2556C2214yescomplemented
143#2554C2214yescomplemented
144#2554C2214yescomplemented
145#2543C2214yes—
146#2543C2214yescomplemented
147#2519C2214yescomplemented
148#2519C2214yescomplemented
149#2504C2212yes—
150#2503C2212yes—
151#2500C2211yescharacteristic
152#2500C2211yescharacteristic, complemented
153#2499C2211yescharacteristic
154#2499C2211yescharacteristic, complemented
155#2498C2214yescomplemented
156#2498C2214yescomplemented
157#2492C2214yescomplemented
158#2492C2214yescomplemented
159#2491C2214yescomplemented
160#2491C2214yescomplemented
161#2490C2214yescomplemented
162#2490C2214yescomplemented
163#2489C2214yescomplemented
164#2489C2214yescomplemented
165#2484C2212yescomplemented
166#2482C2212yes—
167#2481C2214yescomplemented
168#2480C2214yes—
169#2480C2214yes—
170#2477C2214yescomplemented
171#2476C2214yescomplemented
172#2476C2214yescomplemented
173#2474C2214yescomplemented
174#2473C2214yescomplemented
175#2472C2214yes—
176#2471C2214yescomplemented
177#2470C2214yescomplemented
178#2468C2214yes—
179#2467C2214yescomplemented
180#2466C2214yes—
181#2465C2214yescomplemented
182#2464C2214yescomplemented
183#2461C2214yescomplemented
184#2461C2214yescomplemented
185#2460C2214yescomplemented
186#2459C2214yes—
187#2459C2214yescomplemented
188#2458C2214yescomplemented
189#2457C2214yes—
190#2457C2214yescomplemented
191#2456C2214yescomplemented
192#2448C2214yescomplemented
193#2446C2214yescomplemented
194#2436C2212yes—
195#2436C2214yescomplemented
196#2435C2212yes—
197#2432C2211yescharacteristic
198#2432C2214yescomplemented
199#2432C2211yescharacteristic, complemented
200#2431C2211yescharacteristic
201#2431C2211yescharacteristic, complemented
202#2430C2214yescomplemented
203#2430C2214yescomplemented
204#2421C2214yescomplemented
205#2421C2214yescomplemented
206#2418C2214yes—
207#2417C2214yescomplemented
208#2416C2214yescomplemented
209#2412C2212yes—
210#2412C2212yes—
211#2410C2212yes—
212#2410C2212yes—
213#2409C2214yescomplemented
214#2407C2214yescomplemented
215#2406C2212yescomplemented
216#2404C2212yes—
217#2332C2212yes—
218#2332C2214yes—
219#2332C2212yes—
220#2332C2212yescomplemented
221#2332C2214yescomplemented
222#2332C2212yescomplemented
223#2325C2214yescomplemented
224#2325C2214yescomplemented
225#2311C2214yescomplemented
226#2308C2214yes—
227C4×#121C2214yescomplemented
228#2297C2214yescomplemented
229C2×#391C2212yescomplemented
230C2×#388C2212yes—
231C2×#388C2212yes—
232C2×#387C2212yescomplemented
233C2×#387C2212yescomplemented
234C2×#381C2211yescharacteristic
235C2×C4×C4⋊C4C2212yescomplemented
236C2×C4×C22⋊C4C2211yescharacteristic
237C22×#41C2314yes—
238C22×#41C2311yescharacteristic
239C22×#41C2311yescharacteristic
240C22×#41C2312yes—
241C23×Q8C2311yescharacteristic
242C23×Q8C2312yes—
243C23×Q8C2311yescharacteristic
244C23×D4C2312yes—
245C23×D4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247#563—232no—
248#562—232no—
249#554—216no—
250#552—216no—
251#552—216no—
252#551—232no—
253D4×Q8—216no—
254D4×Q8—216no—
255#548—216no—
256#547—216no—
257#546—216no—
258#546—232no—
259#544—216no—
260#544—216no—
261#543—216no—
262#542—216no—
263#541—216no—
264#539—216no—
265#539—216no—
266#539—216no—
267#538—216no—
268#537—216no—
269#537—216no—
270#536—216no—
271C2×C4⋊Q8C2314yes—
272C2×C4⋊Q8C2314yes—
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2314yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#125C2314yes—
284C2×#125C2314yes—
285C2×#125C2314yes—
286C2×#125C2312yes—
287C2×#125C2314yes—
288C2×#125C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#124C2311yescharacteristic
297C2×#124C2311yescharacteristic
298#525—28no—
299#525—28no—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2312yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2312yes—
311C2×#123C2312yes—
312C2×C22⋊Q8—28no—
313C2×C22⋊Q8D4116yescomplemented
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121—28no—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#120C2312yes—
360C2×#120C2312yes—
361C2×#120C2314yes—
362C2×#120C2312yes—
363C2×#120C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×#117C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#384C2311yescharacteristic
638#384C2311yescharacteristic
639#382C2312yes—
640#382C2312yes—
641#382C2314yes—
642#382C2311yescharacteristic
643#382C2311yescharacteristic
644#381C2312yes—
645#381C2312yes—
646#381C2314yes—
647#381C2314yes—
648#381C2312yes—
649#381C2312yes—
650#381C2312yes—
651#381C2312yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#379C2314yes—
662#379C2314yes—
663#379C2312yes—
664#379C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2314yes—
670C4×C22⋊C4C2311yescharacteristic
671C4×C22⋊C4C2311yescharacteristic
672C4×C22⋊C4C2312yes—
673C4×C22⋊C4C2311yescharacteristic
674C4×C22⋊C4C2311yescharacteristic
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C2×#95C2312yes—
683C2×#95C2312yes—
684C2×#95C2312yes—
685C2×#95C2312yes—
686C2×#95C2312yes—
687C2×#95C2312yes—
688C2×#95C2312yes—
689C25C2411yescharacteristic
690C25C2412yes—
691C2×#41—28no—
692C2×#41—24no—
693C2×#41—24no—
694C2×#41—216no—
695C2×#41—48no—
696C2×#41—48no—
697C2×#41—81no—
698C2×#41—81no—
699C2×#41—81no—
700C2×#41—81no—
701C2×#41—82no—
702C2×#41—82no—
703C22×Q8—28no—
704C22×Q8—24no—
705C22×Q8—81no—
706C22×Q8—81no—
707C22×Q8—81no—
708C22×Q8—81no—
709C22×Q8—82no—
710C22×Q8—82no—
711C22×Q8C2×D418yes—
712C22×Q8C2412yes—
713C22×Q8C2411yescharacteristic
714C22×Q8C2412yes—
715C22×Q8C2414yes—
716C22×Q8C2414yes—
717C22×Q8C2411yescharacteristic
718C22×Q8C2412yes—
719C22×Q8C2412yes—
720C22×D4—28no—
721C22×D4—24no—
722C22×D4—48no—
723C22×D4—81no—
724C22×D4—81no—
725C22×D4C2412yes—
726C22×D4C2412yes—
727C22×D4C2414yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2414yes—
733C22×D4C2412yes—
734C22×D4C2414yes—
735C22×D4C2411yescharacteristic
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2411yescharacteristic
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C23×C4—81no—
743C23×C4—81no—
744C23×C4C2×D418yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2414yes—
755C23×C4C2412yes—
756C23×C4C2414yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C4⋊Q8—28no—
767C4⋊Q8—216no—
768C4⋊Q8—216no—
769C4⋊Q8—28no—
770C4⋊Q8—216no—
771C4⋊Q8—81no—
772#127—81no—
773#126—216no—
774#126—216no—
775#126—216no—
776#126—216no—
777#126—216no—
778#125—216no—
779#125—216no—
780#125—216no—
781#125—28no—
782#125—216no—
783#125—216no—
784#124—216no—
785#124—28no—
786#124—216no—
787#124—216no—
788#124—81no—
789#124—82no—
790#124—84no—
791#124—82no—
792#124—81no—
793#123—28no—
794#123—28no—
795#123—216no—
796#123—216no—
797#123—216no—
798#123—216no—
799#123—216no—
800#123—216no—
801#123—216no—
802#123—216no—
803#123—82no—
804#123—82no—
805C22⋊Q8—28no—
806C22⋊Q8—28no—
807C22⋊Q8—216no—
808C22⋊Q8—216no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—24no—
814C22⋊Q8—24no—
815C22⋊Q8—24no—
816C22⋊Q8—24no—
817C22⋊Q8—216no—
818C22⋊Q8—28no—
819C22⋊Q8—216no—
820C22⋊Q8—216no—
821C22⋊Q8—216no—
822C22⋊Q8—216no—
823C22⋊Q8—216no—
824C22⋊Q8—216no—
825C22⋊Q8—216no—
826C22⋊Q8—84no—
827C22⋊Q8C2×D4116yes—
828C22⋊Q8C2×D4116yes—
829C22⋊Q8C2×D4116yes—
830C22⋊Q8C2×D4116yes—
831#121—28no—
832#121—28no—
833#121—28no—
834#121—28no—
835#121—24no—
836#121—24no—
837#121—24no—
838#121—24no—
839#121—216no—
840#121—216no—
841#121—28no—
842#121—216no—
843#121—216no—
844#121—216no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—84no—
849#120—28no—
850#120—28no—
851#120—216no—
852#120—82no—
853#120—82no—
854C4×Q8—28no—
855C4×Q8—28no—
856C4×Q8—28no—
857C4×D4—28no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—216no—
862C4×D4—216no—
863C4×D4—28no—
864C4×D4—216no—
865C4×D4—216no—
866C4×D4—84no—
867#117—24no—
868#117—24no—
869#117—216no—
870#117—28no—
871#117—216no—
872C2×C4⋊C4—24no—
873C2×C4⋊C4—28no—
874C2×C4⋊C4—24no—
875C2×C4⋊C4—28no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—82no—
878C2×C4⋊C4C2×D4116yes—
879C2×C4⋊C4C2×D418yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C22⋊C4—28no—
924C2×C22⋊C4—28no—
925C2×C22⋊C4—216no—
926C2×C22⋊C4—44no—
927C2×C22⋊C4—81no—
928C2×C22⋊C4—81no—
929C2×C22⋊C4C2×D4116yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C42—44no—
989C2×C42—82no—
990C2×C42—81no—
991C2×C42—81no—
992C2×C42C2414yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2412yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
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#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—24no—
1051C24—24no—
1052C24—41no—
1053C24—41no—
1054C24—42no—
1055C24—44no—
1056C24—42no—
1057C24—42no—
1058C24—44no—
1059C24C22×D414yes—
1060C24C2514yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C24C2511yescharacteristic
1065C24C2511yescharacteristic
1066#41—832no—
1067#41—88no—
1068#41—88no—
1069#41—816no—
1070C2×Q8—24no—
1071C2×Q8—22no—
1072C2×Q8—28no—
1073C2×Q8—24no—
1074C2×Q8—28no—
1075C2×Q8—22no—
1076C2×Q8—42no—
1077C2×Q8—42no—
1078C2×Q8—42no—
1079C2×Q8—42no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×Q8—44no—
1083C2×Q8—42no—
1084C2×Q8—42no—
1085C2×Q8—44no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—88no—
1093C2×Q8—88no—
1094C2×Q8—816no—
1095C2×Q8C22×D418yes—
1096C2×Q8C22×D418yes—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—22no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—88no—
1145C2×D4—816no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—88no—
1200C22×C4C22×D418yes—
1201C22×C4C22×D414yes—
1202C22×C4C22×D418yes—
1203C22×C4C22×D414yes—
1204C22×C4C22×D414yes—
1205C22×C4C22×D414yes—
1206C22×C4C22×D414yes—
1207C22×C4C22×D414yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2514yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4C22×D418yes—
1269C4⋊C4C22×D418yes—
1270C4⋊C4C22×D4116yes—
1271C4⋊C4C22×D4116yes—
1272C22⋊C4—24no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4C22×D4116yes—
1329C22⋊C4C22×D4116yes—
1330C42—28no—
1331C42—24no—
1332C42—24no—
1333C42—28no—
1334C42—28no—
1335C42—28no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—42no—
1340C42—41no—
1341C42—41no—
1342C42—42no—
1343C42—44no—
1344C42—41no—
1345C42—41no—
1346C23—21no—
1347C23—21no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—22no—
1356C23—22no—
1357C23—28no—
1358C23—22no—
1359C23—24no—
1360C23—22no—
1361C23—24no—
1362C23—24no—
1363C23—24no—
1364C23—24no—
1365C23—22no—
1366C23—24no—
1367C23—24no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—44no—
1376C23—44no—
1377C23—48no—
1378C23—84no—
1379C23—84no—
1380C23—84no—
1381C23—84no—
1382C23—164no—
1383C23—164no—
1384C23C23×D412yes—
1385C23C23×D412yes—
1386C23C23×D412yes—
1387C23#58514yes—
1388C23C2611yescharacteristic
1389Q8—48no—
1390Q8—48no—
1391Q8—48no—
1392Q8—84no—
1393Q8—88no—
1394Q8—88no—
1395Q8—82no—
1396Q8—82no—
1397D4—48no—
1398D4—48no—
1399D4—48no—
1400D4—48no—
1401D4—416no—
1402D4—48no—
1403D4—84no—
1404D4—88no—
1405D4—82no—
1406D4—82no—
1407D4—88no—
1408D4—88no—
1409D4—84no—
1410D4—84no—
1411D4—88no—
1412D4—164no—
1413D4—164no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—216no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—48no—
1477C2×C4—48no—
1478C2×C4—48no—
1479C2×C4—88no—
1480C2×C4—88no—
1481C2×C4—88no—
1482C2×C4—88no—
1483C2×C4—84no—
1484C2×C4—84no—
1485C2×C4—84no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4C23×D412yes—
1489C2×C4C23×D418yes—
1490C2×C4C23×D418yes—
1491C2×C4C23×D412yes—
1492C2×C4C23×D412yes—
1493C2×C4C23×D412yes—
1494C22—22no—
1495C22—22no—
1496C22—24no—
1497C22—24no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—44no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—42no—
1516C22—44no—
1517C22—44no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—44no—
1524C22—44no—
1525C22—88no—
1526C22—168no—
1527C22#350014yes—
1528C22C24×D411yescharacteristic
1529C22C2×#58512yes—
1530C22H(7,𝔽2)11yescharacteristic
1531C22H(7,𝔽2)11yescharacteristic
1532C222−1+612yes—
1533C4—28no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—28no—
1539C4—44no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—44no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4—42no—
1554C2—24no—
1555C2—42no—
1556C2—42no—
1557C2—82no—
1558C2—82no—
1559C2—84no—
1560C2C2×#350011yescharacteristic
1561C2#6284211yescharacteristic
1562C2#6284811yescharacteristic
1563C2#6286812yes—
1564C2#6287212yes—
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. C2×#3538C2semidirect
2. C2×#3536C2semidirect
3. #48828C2semidirect
4. #48827C2semidirect
5. #47949C2semidirect
6. #47948C2semidirect
7. #47216C2semidirect
8. #47215C2semidirect
9. #46820C2semidirect
10. #46815C2semidirect
11. #46430C2semidirect
12. #46429C2semidirect
13. #46360C2semidirect
14. #46357C2semidirect
15. #39166C2semidirect
16. #38944C2semidirect
17. #38087C2semidirect
18. #38086C2semidirect
19. #37447C2semidirect
20. #37446C2semidirect
21. #36742C2semidirect
22. #36741C2semidirect
23. #35158C2semidirect
24. #35032C2semidirect
25. #35019C2semidirect
26. #35004C2semidirect
27. C2×#2332C2semidirect
33. C2×#552C22semidirect
34. C2×#552C22semidirect
36. C2×D4×Q8C22semidirect
37. C2×D4×Q8C22semidirect
42. C2×#544C22semidirect
43. C2×#544C22semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
59. #2857C22semidirect
60. #2856C22semidirect
61. #2854C22semidirect
64. #2850C22semidirect
65. #2850C22semidirect
66. #2850C22semidirect
71. #2731C22semidirect
72. #2731C22semidirect
73. #2730C22semidirect
74. #2730C22semidirect
75. #2729C22semidirect
76. #2729C22semidirect
77. #2728C22semidirect
78. #2728C22semidirect
79. #2723C22semidirect
80. #2721C22semidirect
81. #2720C22semidirect
82. #2719C22semidirect
83. #2716C22semidirect
84. #2716C22semidirect
85. #2714C22semidirect
86. #2714C22semidirect
87. #2713C22semidirect
88. #2713C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2710C22semidirect
92. #2706C22semidirect
93. #2703C22semidirect
94. #2703C22semidirect
96. #2700C22semidirect
98. #2696C22semidirect
99. #2696C22semidirect
100. #2694C22semidirect
101. #2694C22semidirect
102. #2692C22semidirect
103. #2692C22semidirect
104. #2690C22semidirect
105. #2690C22semidirect
108. #2687C22semidirect
111. #2681C22semidirect
113. #2677C22semidirect
114. #2676C22semidirect
115. #2674C22semidirect
116. #2673C22semidirect
117. #2672C22semidirect
119. #2659C22semidirect
123. #2639C22semidirect
124. #2639C22semidirect
128. #2623C22semidirect
129. #2618C22semidirect
131. #2614C22semidirect
134. #2602C22semidirect
137. #2564C22semidirect
138. #2564C22semidirect
141. #2556C22semidirect
142. #2556C22semidirect
143. #2554C22semidirect
144. #2554C22semidirect
146. #2543C22semidirect
147. #2519C22semidirect
148. #2519C22semidirect
152. #2500C22semidirect
154. #2499C22semidirect
155. #2498C22semidirect
156. #2498C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2489C22semidirect
164. #2489C22semidirect
165. #2484C22semidirect
167. #2481C22semidirect
170. #2477C22semidirect
171. #2476C22semidirect
172. #2476C22semidirect
173. #2474C22semidirect
174. #2473C22semidirect
176. #2471C22semidirect
177. #2470C22semidirect
179. #2467C22semidirect
181. #2465C22semidirect
182. #2464C22semidirect
183. #2461C22semidirect
184. #2461C22semidirect
185. #2460C22semidirect
187. #2459C22semidirect
188. #2458C22semidirect
190. #2457C22semidirect
191. #2456C22semidirect
192. #2448C22semidirect
193. #2446C22semidirect
195. #2436C22semidirect
198. #2432C22semidirect
199. #2432C22semidirect
201. #2431C22semidirect
202. #2430C22semidirect
203. #2430C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
213. #2409C22semidirect
214. #2407C22semidirect
215. #2406C22semidirect
220. #2332C22semidirect
221. #2332C22semidirect
222. #2332C22semidirect
223. #2325C22semidirect
224. #2325C22semidirect
225. #2311C22semidirect
227. C4×#121C22semidirect
228. #2297C22semidirect
229. C2×#391C22semidirect
232. C2×#387C22semidirect
233. C2×#387C22semidirect
235. C2×C4×C4⋊C4C22semidirect
313. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35382
C2×#35362
#488282
#488272
#479492
#479482
#472162
#472152
#468202
#468152
#464302
#464292
#463602
#463572
#391662
#389442
#380872
#380862
#374472
#374462
#367422
#367412
#351582
#350322
#350192
#350042
C2×#23322