Finite Group Databasebeta

← #7656597

Subgroups — #7656597

Order 512.

5158 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42500C212yesmaximal, complemented
2#42499C212yesmaximal, complemented
3#42496C212yesmaximal, complemented
4#42495C212yesmaximal, complemented
5#40621C214yesmaximal, complemented
6#40620C214yesmaximal, complemented
7#40617C214yesmaximal, complemented
8#40616C214yesmaximal, complemented
9#39496C211yesmaximal, characteristic, complemented
10#39368C211yesmaximal, characteristic, complemented
11#38963C212yesmaximal, complemented
12#38097C214yesmaximal, complemented
13#37873C212yesmaximal, complemented
14#37685C212yesmaximal, complemented
15#37623C212yesmaximal, complemented
16#37478C214yesmaximal, complemented
17#36215C212yesmaximal
18#36154C211yesmaximal, characteristic
19D4×C22⋊Q8C211yesmaximal, characteristic
20#35961C212yesmaximal, complemented
21#35950C212yesmaximal, complemented
22#35928C212yesmaximal, complemented
23#35858C212yesmaximal, complemented
24#35224C212yesmaximal, complemented
25#35104C211yesmaximal, characteristic, complemented
26#34595C211yesmaximal, characteristic, complemented
27C2×#2627C212yesmaximal, complemented
28#34190C212yesmaximal
29C2×D4×C4⋊C4C211yesmaximal, characteristic
30C2×#554C2211yescharacteristic
31C2×#554C2212yes—
32C2×D4×Q8C2211yescharacteristic
33C2×#544C2212yes—
34C22×C22⋊Q8C2212yes—
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C23×C4⋊C4C2212yes—
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2851C2212yes—
42#2848C2212yes—
43#2848C2214yes—
44#2848C2212yes—
45#2843C2214yescomplemented
46#2843C2214yescomplemented
47#2841C2214yescomplemented
48#2841C2214yescomplemented
49#2841C2214yescomplemented
50#2841C2214yescomplemented
51#2807C2214yescomplemented
52#2806C2212yescomplemented
53#2805C2212yescomplemented
54#2802C2214yescomplemented
55#2792C2214yescomplemented
56#2791C2214yescomplemented
57#2790C2214yescomplemented
58#2790C2214yescomplemented
59#2788C2214yescomplemented
60#2788C2214yescomplemented
61#2774C2214yescomplemented
62#2768C2214yescomplemented
63#2768C2214yescomplemented
64#2763C2214yescomplemented
65#2755C2214yescomplemented
66#2742C2214yescomplemented
67#2734C2212yescomplemented
68#2729C2214yescomplemented
69#2729C2214yescomplemented
70#2726C2212yescomplemented
71#2720C2214yescomplemented
72#2720C2214yescomplemented
73#2713C2214yescomplemented
74#2704C2214yescomplemented
75#2704C2214yescomplemented
76#2677C2214yescomplemented
77#2667C2214yescomplemented
78#2667C2214yescomplemented
79#2666C2212yescomplemented
80#2666C2212yescomplemented
81#2666C2212yescomplemented
82#2666C2212yescomplemented
83#2665C2214yescomplemented
84#2665C2214yescomplemented
85#2660C2212yescomplemented
86#2660C2212yescomplemented
87#2660C2214yescomplemented
88#2659C2211yescharacteristic
89#2659C2211yescharacteristic
90#2659C2214yescomplemented
91#2659C2214yescomplemented
92#2647C2212yescomplemented
93#2647C2212yescomplemented
94#2647C2214yescomplemented
95#2646C2212yes—
96#2646C2214yescomplemented
97#2646C2214yescomplemented
98#2627C2212yes—
99#2627C2212yes—
100#2627C2212yes—
101#2627C2211yescharacteristic
102#2627C2211yescharacteristic
103#2627C2214yes—
104#2627C2212yes—
105#2627C2214yes—
106#2627C2214yes—
107#2627C2212yes—
108#2627C2214yescomplemented
109#2627C2214yescomplemented
110#2627C2214yescomplemented
111#2627C2214yescomplemented
112#2606C2214yescomplemented
113#2605C2214yescomplemented
114#2584C2212yescomplemented
115#2584C2212yescomplemented
116#2583C2214yescomplemented
117#2583C2214yescomplemented
118#2580C2212yes—
119#2579C2214yes—
120#2571C2212yescomplemented
121#2570C2212yescomplemented
122#2570C2212yescomplemented
123#2569C2214yescomplemented
124#2569C2214yescomplemented
125#2567C2212yescomplemented
126#2566C2212yes—
127#2564C2214yes—
128#2563C2211yescharacteristic
129#2552C2212yescomplemented
130#2552C2212yescomplemented
131#2552C2212yescomplemented
132#2551C2212yescomplemented
133#2551C2212yescomplemented
134#2550C2212yescomplemented
135#2550C2212yescomplemented
136#2550C2212yescomplemented
137#2550C2212yescomplemented
138#2549C2214yescomplemented
139#2549C2214yescomplemented
140#2549C2214yescomplemented
141#2549C2214yescomplemented
142#2546C2212yescomplemented
143#2542C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic
146#2509C2212yescomplemented
147#2509C2212yescomplemented
148#2508C2212yescomplemented
149#2508C2212yescomplemented
150#2507C2212yescomplemented
151#2507C2212yescomplemented
152#2506C2212yescomplemented
153#2506C2212yescomplemented
154#2505C2214yescomplemented
155#2505C2214yescomplemented
156#2505C2214yescomplemented
157#2505C2214yescomplemented
158#2502C2214yescomplemented
159#2487C2212yes—
160#2473C2214yescomplemented
161#2473C2214yescomplemented
162#2473C2214yescomplemented
163#2473C2214yescomplemented
164#2454C2212yes—
165#2454C2212yes—
166#2452C2212yes—
167#2452C2212yes—
168#2450C2214yes—
169#2450C2214yes—
170#2449C2214yes—
171#2449C2214yes—
172#2442C2212yes—
173#2442C2212yes—
174#2442C2214yes—
175#2442C2214yescomplemented
176#2442C2214yescomplemented
177#2442C2214yescomplemented
178#2442C2214yescomplemented
179#2440C2212yes—
180#2440C2214yes—
181#2440C2212yes—
182#2440C2214yescomplemented
183#2440C2214yescomplemented
184#2440C2214yescomplemented
185#2440C2214yescomplemented
186#2440C2214yescomplemented
187#2440C2214yescomplemented
188#2438C2214yes—
189#2438C2214yes—
190#2438C2214yes—
191#2438C2214yes—
192#2437C2214yes—
193#2437C2214yes—
194#2437C2214yes—
195#2437C2214yes—
196#2434C2214yescomplemented
197#2417C2212yes—
198#2417C2212yes—
199#2409C2212yes—
200#2402C2212yescomplemented
201#2402C2212yescomplemented
202#2399C2212yescomplemented
203#2399C2212yescomplemented
204C2×#400C2214yescomplemented
205C2×#398C2214yescomplemented
206C2×#398C2214yescomplemented
207C2×#395C2214yescomplemented
208#2357C2212yes—
209#2357C2212yes—
210#2353C2214yes—
211#2353C2214yes—
212#2349C2212yes—
213#2349C2212yes—
214#2349C2212yes—
215#2349C2212yes—
216#2349C2212yes—
217D4×C4⋊C4C2212yes—
218D4×C4⋊C4C2212yes—
219D4×C4⋊C4C2211yescharacteristic
220D4×C4⋊C4C2212yes—
221D4×C4⋊C4C2212yes—
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2212yes—
224D4×C4⋊C4C2214yes—
225D4×C4⋊C4C2214yes—
226D4×C4⋊C4C2211yescharacteristic
227#2344C2212yes—
228#2344C2212yes—
229#2342C2214yes—
230#2342C2214yes—
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2212yes—
233#2329C2212yes—
234#2329C2212yes—
235#2319C2212yes—
236#2319C2212yes—
237#2318C2214yes—
238#2318C2214yes—
239#2317C2214yes—
240#2316C2212yes—
241C4×C22⋊Q8C2212yes—
242C4×C22⋊Q8C2211yescharacteristic
243C4×C22⋊Q8C2211yescharacteristic
244C2×#389C2211yescharacteristic
245C2×#389C2211yescharacteristic
246C2×#385C2212yes—
247C2×#385C2212yes—
248C2×#385C2214yes—
249C2×#384C2211yescharacteristic
250#2283C2212yes—
251#2283C2212yes—
252#2280C2214yes—
253C2×#381C2214yes—
254C2×#380C2212yes—
255C2×#380C2212yes—
256#2275C2212yes—
257#2275C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C23×Q8C2312yes—
260C23×D4C2311yescharacteristic
261C24×C4C2312yes—
262C24×C4C2312yes—
263C24×C4C2312yes—
264#554—48no—
265#554—44no—
266D4×Q8—44no—
267#544—48no—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2314yes—
273C2×C4⋊Q8C2314yes—
274C2×C4⋊Q8C2314yes—
275C2×#125C2312yes—
276C2×#125C2312yes—
277C2×#125C2312yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#125C2314yes—
281C2×C22⋊Q8—48no—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×D4—44no—
306C2×C4×D4—44no—
307C2×C4×D4Q8116yescomplemented
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2312yes—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2314yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2312yes—
324C2×#117C2314yes—
325C2×#117C2314yes—
326C22×C4⋊C4—48no—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2314yes—
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2314yes—
333C22×C4⋊C4C2314yes—
334C22×C4⋊C4C2314yes—
335C22×C4⋊C4C2314yes—
336C22×C4⋊C4C2314yes—
337C22×C4⋊C4C2312yes—
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2314yes—
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2314yes—
348C22×C22⋊C4C2312yes—
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354#400C2314yes—
355#400C2312yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#398C2312yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2312yes—
467#395C2312yes—
468#395C2312yes—
469#395C2312yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#387C2312yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2312yes—
562#387C2314yes—
563#387C2312yes—
564#387C2312yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2312yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2312yes—
605#385C2314yes—
606#385C2314yes—
607#385C2312yes—
608#385C2312yes—
609#385C2314yes—
610#385C2314yes—
611#384C2312yes—
612#384C2314yes—
613#384C2311yescharacteristic
614#384C2311yescharacteristic
615#384C2312yes—
616#384C2314yes—
617#384C2314yes—
618#384C2312yes—
619#384C2312yes—
620#384C2314yes—
621#383C2314yes—
622#383C2312yes—
623#383C2312yes—
624#382C2312yes—
625#382C2312yes—
626#382C2312yes—
627#382C2312yes—
628#382C2314yes—
629#382C2314yes—
630#382C2314yes—
631#382C2312yes—
632#382C2312yes—
633#382C2312yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#381C2314yes—
639#381C2314yes—
640#381C2312yes—
641#381C2314yes—
642#381C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2311yescharacteristic
652#380C2312yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2311yescharacteristic
671#380C2314yes—
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#379C2314yes—
676#379C2314yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707#376C2312yes—
708#376C2312yes—
709#376C2314yes—
710C2×#95C2314yes—
711C2×#95C2314yes—
712C2×#95C2314yes—
713C2×#95C2314yes—
714C2×#95C2311yescharacteristic
715C2×#95C2311yescharacteristic
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C25C2412yes—
722C22×Q8—44no—
723C22×Q8—44no—
724C22×Q8—82no—
725C22×Q8C2411yescharacteristic
726C22×Q8C2411yescharacteristic
727C22×Q8C2412yes—
728C22×Q8C2412yes—
729C22×Q8C2414yes—
730C22×Q8C2414yes—
731C22×Q8C2412yes—
732C22×D4—24no—
733C22×D4—24no—
734C22×D4C2×Q818yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2411yescharacteristic
738C23×C4—28no—
739C23×C4—44no—
740C23×C4—44no—
741C23×C4—44no—
742C23×C4—44no—
743C23×C4—44no—
744C23×C4—82no—
745C23×C4—82no—
746C23×C4C2×Q8116yescomplemented
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2411yescharacteristic
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2411yescharacteristic
769C4⋊Q8—42no—
770C4⋊Q8—44no—
771C4⋊Q8—42no—
772C4⋊Q8—44no—
773C4⋊Q8—48no—
774C4⋊Q8—48no—
775C4⋊Q8—84no—
776#125—44no—
777#125—44no—
778#125—44no—
779#125—48no—
780#125—48no—
781#125—84no—
782C22⋊Q8—24no—
783C22⋊Q8—28no—
784C22⋊Q8—24no—
785C22⋊Q8—48no—
786C22⋊Q8—44no—
787C22⋊Q8—44no—
788C22⋊Q8—48no—
789C22⋊Q8—48no—
790C22⋊Q8—44no—
791C22⋊Q8—48no—
792C22⋊Q8—48no—
793C22⋊Q8—48no—
794C22⋊Q8—48no—
795C22⋊Q8—44no—
796C22⋊Q8—48no—
797C22⋊Q8—44no—
798C22⋊Q8—44no—
799C22⋊Q8—84no—
800C22⋊Q8—82no—
801C22⋊Q8—82no—
802C4×Q8—42no—
803C4×Q8—44no—
804C4×Q8—42no—
805C4×D4—24no—
806C4×D4—28no—
807C4×D4—24no—
808C4×D4—28no—
809C4×D4—28no—
810C4×D4—28no—
811C4×D4—28no—
812C4×D4—44no—
813C4×D4—42no—
814C4×D4—42no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—48no—
818C4×D4C2×Q8116yes—
819C4×D4C2×Q8116yescomplemented
820C4×D4C2×Q8132yescomplemented
821#117—48no—
822#117—48no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—28no—
825C2×C4⋊C4—48no—
826C2×C4⋊C4—48no—
827C2×C4⋊C4—48no—
828C2×C4⋊C4—48no—
829C2×C4⋊C4—42no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—44no—
832C2×C4⋊C4—48no—
833C2×C4⋊C4—44no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—44no—
837C2×C4⋊C4—48no—
838C2×C4⋊C4—82no—
839C2×C4⋊C4—84no—
840C2×C4⋊C4—82no—
841C2×C4⋊C4C2×Q818yescomplemented
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C22⋊C4—48no—
925C2×C22⋊C4—44no—
926C2×C22⋊C4—44no—
927C2×C22⋊C4—48no—
928C2×C22⋊C4C2×Q8116yescomplemented
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C42—42no—
956C2×C42—42no—
957C2×C42C2×Q818yescomplemented
958C2×C42C2412yes—
959C2×C42C2411yescharacteristic
960C2×C42C2411yescharacteristic
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2412yes—
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046C24—24no—
1047C24—24no—
1048C24—24no—
1049C24—24no—
1050C24—42no—
1051C24—42no—
1052C24C22×Q818yes—
1053C24C2512yes—
1054C24C2512yes—
1055C24C2511yescharacteristic
1056C2×Q8—22no—
1057C2×Q8—24no—
1058C2×Q8—22no—
1059C2×Q8—41no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×Q8—42no—
1063C2×Q8—44no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—42no—
1067C2×Q8—41no—
1068C2×Q8—42no—
1069C2×Q8—44no—
1070C2×Q8—42no—
1071C2×Q8—42no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—42no—
1075C2×Q8—44no—
1076C2×Q8—42no—
1077C2×Q8—816no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—232no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4C22×Q818yes—
1084C2×D4C22×Q814yes—
1085C2×D4C22×Q814yes—
1086C2×D4H(5,𝔽2)14yes—
1087C2×D42−1+414yes—
1088C22×C4—22no—
1089C22×C4—24no—
1090C22×C4—22no—
1091C22×C4—24no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—28no—
1099C22×C4—24no—
1100C22×C4—28no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—41no—
1115C22×C4—42no—
1116C22×C4—432no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—44no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—44no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—816no—
1149C22×C4—816no—
1150C22×C4C22×Q814yes—
1151C22×C4C22×Q814yes—
1152C22×C4C22×Q818yes—
1153C22×C4C22×Q814yes—
1154C22×C4C22×Q8116yes—
1155C22×C4C22×Q8116yes—
1156C22×C4H(5,𝔽2)14yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2514yes—
1160C22×C4C2514yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2514yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2514yes—
1173C22×C4C2514yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2514yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2511yescharacteristic
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—28no—
1186C4⋊C4—28no—
1187C4⋊C4—22no—
1188C4⋊C4—24no—
1189C4⋊C4—22no—
1190C4⋊C4—24no—
1191C4⋊C4—22no—
1192C4⋊C4—24no—
1193C4⋊C4—28no—
1194C4⋊C4—24no—
1195C4⋊C4—24no—
1196C4⋊C4—22no—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—41no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—42no—
1217C4⋊C4—44no—
1218C4⋊C4—41no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—44no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—41no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4C22×Q818yes—
1264C4⋊C4C22×Q818yes—
1265C22⋊C4—24no—
1266C22⋊C4—28no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—24no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—42no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4C22×Q8116yes—
1290C22⋊C4C22×Q8116yes—
1291C42—24no—
1292C42—22no—
1293C42—22no—
1294C42—24no—
1295C42—24no—
1296C42—24no—
1297C42—24no—
1298C42—41no—
1299C42—41no—
1300C42—42no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C42C22×Q818yes—
1308C42C22×Q818yes—
1309C23—22no—
1310C23—21no—
1311C23—21no—
1312C23—22no—
1313C23—22no—
1314C23—21no—
1315C23—22no—
1316C23—21no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—216no—
1324C23—216no—
1325C23—48no—
1326C23—48no—
1327C23—48no—
1328C23—48no—
1329C23—48no—
1330C23C23×Q814yes—
1331C23C23×Q814yes—
1332C23C23×Q812yes—
1333C23C2×H(5,𝔽2)14yes—
1334C23C2×H(5,𝔽2)12yes—
1335C23C2×2−1+414yes—
1336C23#58512yes—
1337C23C2611yescharacteristic
1338Q8—44no—
1339Q8—82no—
1340Q8—84no—
1341Q8—84no—
1342Q8—88no—
1343Q8—164no—
1344Q8—162no—
1345D4—216no—
1346D4—28no—
1347D4#544116yescomplemented
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—24no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—28no—
1361C2×C4—216no—
1362C2×C4—28no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—21no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—416no—
1421C2×C4—416no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—44no—
1427C2×C4—84no—
1428C2×C4—84no—
1429C2×C4—82no—
1430C2×C4—88no—
1431C2×C4—82no—
1432C2×C4—88no—
1433C2×C4—88no—
1434C2×C4—84no—
1435C2×C4—88no—
1436C2×C4—84no—
1437C2×C4—88no—
1438C2×C4—88no—
1439C2×C4C23×Q814yes—
1440C2×C4C23×Q812yes—
1441C2×C4C23×Q814yes—
1442C2×C4C23×Q818yes—
1443C2×C4C23×Q812yes—
1444C2×C4C2×H(5,𝔽2)12yes—
1445C2×C4C2×H(5,𝔽2)12yes—
1446C2×C4C2×H(5,𝔽2)12yes—
1447C2×C4C2×2−1+412yes—
1448C22—24no—
1449C22—22no—
1450C22—24no—
1451C22—22no—
1452C22—24no—
1453C22—22no—
1454C22—24no—
1455C22—22no—
1456C22—24no—
1457C22—22no—
1458C22—24no—
1459C22—22no—
1460C22—24no—
1461C22—24no—
1462C22—24no—
1463C22—432no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22C2×#54418yes—
1469C22#350114yes—
1470C22C24×Q811yescharacteristic
1471C22C22×H(5,𝔽2)11yescharacteristic
1472C22C22×H(5,𝔽2)11yescharacteristic
1473C22C22×2−1+411yescharacteristic
1474C22C2×#58511yescharacteristic
1475C22H(7,𝔽2)11yescharacteristic
1476C222−1+611yescharacteristic
1477C4—24no—
1478C4—28no—
1479C4—24no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—44no—
1487C4—42no—
1488C4—44no—
1489C4—42no—
1490C4—41no—
1491C4—42no—
1492C4—42no—
1493C4—44no—
1494C4—41no—
1495C4—42no—
1496C4—42no—
1497C4—44no—
1498C4—42no—
1499C4—42no—
1500C4—44no—
1501C4—42no—
1502C4C2×#54414yes—
1503C2—24no—
1504C2—28no—
1505C2—44no—
1506C2C22×#54411yescharacteristic
1507C2C2×#350111yescharacteristic
1508C2#6285411yescharacteristic
1509C2#6289211yescharacteristic
1510C2#6289811yescharacteristic
1511C2#6294211yescharacteristic
1512C2#6294811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42500C2semidirect
2. #42499C2semidirect
3. #42496C2semidirect
4. #42495C2semidirect
5. #40621C2semidirect
6. #40620C2semidirect
7. #40617C2semidirect
8. #40616C2semidirect
9. #39496C2semidirect
10. #39368C2semidirect
11. #38963C2semidirect
12. #38097C2semidirect
13. #37873C2semidirect
14. #37685C2semidirect
15. #37623C2semidirect
16. #37478C2semidirect
20. #35961C2semidirect
21. #35950C2semidirect
22. #35928C2semidirect
23. #35858C2semidirect
24. #35224C2semidirect
25. #35104C2semidirect
26. #34595C2semidirect
27. C2×#2627C2semidirect
45. #2843C22semidirect
46. #2843C22semidirect
47. #2841C22semidirect
48. #2841C22semidirect
49. #2841C22semidirect
50. #2841C22semidirect
51. #2807C22semidirect
52. #2806C22semidirect
53. #2805C22semidirect
54. #2802C22semidirect
55. #2792C22semidirect
56. #2791C22semidirect
57. #2790C22semidirect
58. #2790C22semidirect
59. #2788C22semidirect
60. #2788C22semidirect
61. #2774C22semidirect
62. #2768C22semidirect
63. #2768C22semidirect
64. #2763C22semidirect
65. #2755C22semidirect
66. #2742C22semidirect
67. #2734C22semidirect
68. #2729C22semidirect
69. #2729C22semidirect
70. #2726C22semidirect
71. #2720C22semidirect
72. #2720C22semidirect
73. #2713C22semidirect
74. #2704C22semidirect
75. #2704C22semidirect
76. #2677C22semidirect
77. #2667C22semidirect
78. #2667C22semidirect
79. #2666C22semidirect
80. #2666C22semidirect
81. #2666C22semidirect
82. #2666C22semidirect
83. #2665C22semidirect
84. #2665C22semidirect
85. #2660C22semidirect
86. #2660C22semidirect
87. #2660C22semidirect
90. #2659C22semidirect
91. #2659C22semidirect
92. #2647C22semidirect
93. #2647C22semidirect
94. #2647C22semidirect
96. #2646C22semidirect
97. #2646C22semidirect
108. #2627C22semidirect
109. #2627C22semidirect
110. #2627C22semidirect
111. #2627C22semidirect
112. #2606C22semidirect
113. #2605C22semidirect
114. #2584C22semidirect
115. #2584C22semidirect
116. #2583C22semidirect
117. #2583C22semidirect
120. #2571C22semidirect
121. #2570C22semidirect
122. #2570C22semidirect
123. #2569C22semidirect
124. #2569C22semidirect
125. #2567C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2551C22semidirect
133. #2551C22semidirect
134. #2550C22semidirect
135. #2550C22semidirect
136. #2550C22semidirect
137. #2550C22semidirect
138. #2549C22semidirect
139. #2549C22semidirect
140. #2549C22semidirect
141. #2549C22semidirect
142. #2546C22semidirect
146. #2509C22semidirect
147. #2509C22semidirect
148. #2508C22semidirect
149. #2508C22semidirect
150. #2507C22semidirect
151. #2507C22semidirect
152. #2506C22semidirect
153. #2506C22semidirect
154. #2505C22semidirect
155. #2505C22semidirect
156. #2505C22semidirect
157. #2505C22semidirect
158. #2502C22semidirect
160. #2473C22semidirect
161. #2473C22semidirect
162. #2473C22semidirect
163. #2473C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
196. #2434C22semidirect
200. #2402C22semidirect
201. #2402C22semidirect
202. #2399C22semidirect
203. #2399C22semidirect
204. C2×#400C22semidirect
205. C2×#398C22semidirect
206. C2×#398C22semidirect
207. C2×#395C22semidirect
307. C2×C4×D4Q8semidirect
746. C23×C4C2×Q8semidirect
819. C4×D4C2×Q8semidirect
820. C4×D4C2×Q8semidirect
841. C2×C4⋊C4C2×Q8semidirect
928. C2×C22⋊C4C2×Q8semidirect
957. C2×C42C2×Q8semidirect
1347. D4#544semidirect

Maximal subgroups

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

subgroupindex
#425002
#424992
#424962
#424952
#406212
#406202
#406172
#406162
#394962
#393682
#389632
#380972
#378732
#376852
#376232
#374782
#362152
#361542
D4×C22⋊Q82
#359612
#359502
#359282
#358582
#352242
#351042
#345952
C2×#26272
#341902
C2×D4×C4⋊C42