Finite Group Databasebeta

← #7715601

Subgroups — #7715601

Order 512.

6638 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3539C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#50857C214yesmaximal, complemented
4#50636C214yesmaximal, complemented
5#47851C214yesmaximal, complemented
6#47849C214yesmaximal, complemented
7#47204C214yesmaximal, complemented
8#47203C214yesmaximal, complemented
9#46828C214yesmaximal, complemented
10#46827C214yesmaximal, complemented
11#38915C212yesmaximal, complemented
12#38914C212yesmaximal, complemented
13#38909C212yesmaximal, complemented
14#38908C212yesmaximal, complemented
15#38043C212yesmaximal, complemented
16#38042C212yesmaximal, complemented
17#38033C212yesmaximal, complemented
18#38032C212yesmaximal, complemented
19#37444C212yesmaximal, complemented
20#37377C211yesmaximal, characteristic, complemented
21#37274C211yesmaximal, characteristic, complemented
22#37272C212yesmaximal, complemented
23#35309C211yesmaximal, characteristic, complemented
24#35263C212yesmaximal, complemented
25#35259C211yesmaximal, characteristic, complemented
26#35255C212yesmaximal, complemented
27#34360C211yesmaximal, characteristic, complemented
28#3539—216no—
29C2×#560C2214yes—
30C2×#553C2212yes—
31C2×#553C2214yes—
32C2×#552C2212yes—
33C2×#550C2212yes—
34C2×#547C2212yes—
35#3455—216no—
36C2×#542C2212yes—
37C2×#542C2212yes—
38C2×#541C2211yescharacteristic
39C2×#541C2212yes—
40C2×#540C2214yes—
41C2×#540C2211yescharacteristic
42C2×#540C2212yes—
43C2×#539C2214yes—
44C2×#539C2212yes—
45C2×#539C2212yes—
46C2×#538C2212yes—
47C2×#538C2212yes—
48C2×#537C2212yes—
49C2×#533C2211yescharacteristic
50C2×#532C2211yescharacteristic
51C2×#529C2212yes—
52C2×#529C2212yes—
53C2×#529C2212yes—
54C2×#529C2212yes—
55C2×#525C2212yes—
56C2×#525C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C2×C4×#41C2211yescharacteristic
59C2×C4×#41C2211yescharacteristic
60C22×#117C2211yescharacteristic
61#2857C2211yescharacteristic, complemented
62#2856C2211yescharacteristic, complemented
63#2855C2212yes—
64#2855C2212yes—
65#2855C2212yescomplemented
66#2854C2212yes—
67#2854C2212yes—
68#2854C2212yescomplemented
69#2851C2211yescharacteristic, complemented
70#2851C2211yescharacteristic, complemented
71#2814C2214yes—
72#2813C2214yes—
73#2730C2214yescomplemented
74#2729C2214yescomplemented
75#2727C2214yescomplemented
76#2726C2214yescomplemented
77#2725C2214yescomplemented
78#2725C2214yescomplemented
79#2723C2214yescomplemented
80#2722C2214yes—
81#2721C2214yescomplemented
82#2720C2214yescomplemented
83#2719C2214yescomplemented
84#2719C2214yescomplemented
85#2717C2214yes—
86#2715C2214yes—
87#2713C2214yescomplemented
88#2709C2214yes—
89#2708C2214yes—
90#2708C2214yes—
91#2706C2214yescomplemented
92#2703C2214yescomplemented
93#2699C2214yes—
94#2698C2214yes—
95#2695C2214yes—
96#2695C2214yes—
97#2695C2214yescomplemented
98#2694C2214yescomplemented
99#2693C2214yes—
100#2693C2214yescomplemented
101#2691C2214yes—
102#2691C2214yescomplemented
103#2689C2214yes—
104#2688C2214yes—
105#2688C2214yes—
106#2687C2214yescomplemented
107#2686C2214yes—
108#2686C2214yescomplemented
109#2682C2214yes—
110#2681C2214yes—
111#2674C2214yescomplemented
112#2673C2214yes—
113#2673C2214yescomplemented
114#2672C2214yes—
115#2672C2214yes—
116#2672C2214yescomplemented
117#2671C2214yes—
118#2671C2214yes—
119#2671C2214yes—
120#2671C2214yescomplemented
121#2630C2214yes—
122#2630C2214yes—
123#2629C2211yescharacteristic, complemented
124#2629C2211yescharacteristic, complemented
125#2625C2212yes—
126#2625C2212yes—
127#2625C2212yes—
128#2625C2212yescomplemented
129#2624C2212yes—
130#2624C2212yes—
131#2624C2212yes—
132#2624C2212yescomplemented
133#2621C2211yescharacteristic, complemented
134#2619C2211yescharacteristic, complemented
135#2617C2214yes—
136#2617C2214yes—
137#2616C2212yes—
138#2615C2212yes—
139#2584C2212yescomplemented
140#2584C2212yescomplemented
141#2582C2212yescomplemented
142#2581C2212yescomplemented
143#2580C2212yescomplemented
144#2568C2212yescomplemented
145#2564C2214yes—
146#2559C2214yes—
147#2557C2214yes—
148#2555C2214yes—
149#2553C2214yes—
150#2553C2214yes—
151#2553C2214yes—
152#2548C2212yescomplemented
153#2544C2214yes—
154#2543C2214yes—
155#2538C2212yescomplemented
156#2535C2214yes—
157#2498C2214yes—
158#2498C2214yes—
159#2496C2214yes—
160#2487C2214yes—
161#2487C2212yescomplemented
162#2486C2214yes—
163#2486C2214yes—
164#2486C2212yescomplemented
165#2485C2212yes—
166#2485C2212yes—
167#2485C2214yes—
168#2485C2214yes—
169#2481C2214yescomplemented
170#2478C2214yescomplemented
171#2473C2214yescomplemented
172#2470C2214yescomplemented
173#2468C2214yes—
174#2467C2214yescomplemented
175#2466C2214yes—
176#2466C2214yescomplemented
177#2464C2214yes—
178#2462C2214yescomplemented
179#2460C2214yescomplemented
180#2460C2214yescomplemented
181#2458C2214yescomplemented
182#2456C2214yes—
183#2456C2214yescomplemented
184#2455C2214yescomplemented
185#2454C2214yescomplemented
186#2449C2214yescomplemented
187#2444C2214yes—
188#2444C2214yescomplemented
189#2443C2214yes—
190#2443C2214yescomplemented
191#2442C2214yescomplemented
192#2438C2214yescomplemented
193#2428C2214yes—
194#2427C2214yes—
195#2427C2214yescomplemented
196#2425C2214yes—
197#2425C2214yes—
198#2425C2214yescomplemented
199#2423C2214yescomplemented
200#2422C2214yes—
201#2422C2214yes—
202#2421C2214yescomplemented
203#2420C2214yes—
204#2417C2212yes—
205#2417C2212yes—
206#2417C2212yescomplemented
207#2417C2214yescomplemented
208#2416C2212yes—
209#2416C2212yes—
210#2416C2214yes—
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2413C2214yescomplemented
215#2412C2214yes—
216#2412C2214yes—
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yescomplemented
220#2407C2212yescomplemented
221#2376C2214yes—
222#2358C2214yes—
223#2352C2212yes—
224#2352C2212yes—
225D4×C4⋊C4C2212yes—
226D4×C4⋊C4C2212yes—
227#2329C2214yes—
228#2325C2214yes—
229#2324C2212yescomplemented
230#2323C2212yescomplemented
231#2317C2212yescomplemented
232#2316C2212yes—
233#2316C2212yes—
234#2314C2211yescharacteristic
235#2314C2211yescharacteristic
236#2311C2212yes—
237#2311C2212yes—
238#2311C2212yes—
239#2311C2212yescomplemented
240C4×C22⋊Q8C2212yescomplemented
241C4×#121C2212yescomplemented
242#2297C2212yescomplemented
243C2×#389C2212yescomplemented
244C2×#380C2212yes—
245C22×#41C2312yes—
246C22×#41C2312yes—
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C24×C4C2311yescharacteristic
250#560—232no—
251#553—232no—
252#553—216no—
253#552—216no—
254#550—216no—
255#547—216no—
256#542—216no—
257#542—216no—
258#541—216no—
259#541—28no—
260#540—216no—
261#540—232no—
262#540—28no—
263#539—216no—
264#539—216no—
265#539—232no—
266#538—216no—
267#538—216no—
268#537—216no—
269#533—28no—
270#532—28no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2314yes—
276C2×#127C2311yescharacteristic
277#529—216no—
278#529—216no—
279#529—216no—
280#529—216no—
281C2×#126C2312yes—
282C2×#126C2312yes—
283C2×#126C2312yes—
284C2×#126C2312yes—
285C2×#126C2312yes—
286C2×#126C2312yes—
287C2×#126C2312yes—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#125C2311yescharacteristic
293C2×#125C2311yescharacteristic
294C2×#125C2312yes—
295C2×#125C2312yes—
296C2×#125C2312yes—
297C2×#125C2312yes—
298C2×#125C2312yes—
299C2×#125C2314yes—
300C2×#125C2314yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2311yescharacteristic
306C2×#124C2311yescharacteristic
307C2×#124C2314yes—
308#525—28no—
309#525—216no—
310#525D4116yescomplemented
311C2×#123C2311yescharacteristic
312C2×#123C2311yescharacteristic
313C2×#123C2314yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#120C2311yescharacteristic
373C2×#120C2311yescharacteristic
374C2×#120C2314yes—
375C2×#120C2312yes—
376C4×#41—28no—
377C4×#41—28no—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×#117—28no—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2314yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2314yes—
661#382C2314yes—
662#382C2311yescharacteristic
663#382C2311yescharacteristic
664#382C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C2×#95C2314yes—
706C2×#95C2314yes—
707C25C2411yescharacteristic
708C2×#41—24no—
709C2×#41—28no—
710C2×#41—28no—
711C2×#41—42no—
712C2×#41—42no—
713C2×#41—42no—
714C2×#41—42no—
715C2×#41—44no—
716C2×#41—44no—
717C2×#41—44no—
718C2×#41—44no—
719C2×#41C2×D418yes—
720C22×Q8C2412yes—
721C22×Q8C2411yescharacteristic
722C22×Q8C2412yes—
723C22×Q8C2412yes—
724C22×Q8C2411yescharacteristic
725C22×D4C2412yes—
726C22×D4C2411yescharacteristic
727C22×D4C2411yescharacteristic
728C22×D4C2411yescharacteristic
729C22×D4C2414yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2414yes—
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C23×C4—42no—
746C23×C4—42no—
747C23×C4C2×D418yes—
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2411yescharacteristic
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2414yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2411yescharacteristic
767C23×C4C2412yes—
768C4⋊Q8—24no—
769C4⋊Q8—28no—
770C4⋊Q8—24no—
771#127—24no—
772#127—216no—
773#127—24no—
774#126—28no—
775#126—28no—
776#126—216no—
777#126—28no—
778#126—28no—
779#126—28no—
780#126—28no—
781#126—28no—
782#126—28no—
783#126—216no—
784#126—216no—
785#125—28no—
786#125—28no—
787#125—28no—
788#125—28no—
789#125—28no—
790#125—216no—
791#125—216no—
792#125—24no—
793#125—24no—
794#124—24no—
795#124—28no—
796#124—28no—
797#124—24no—
798#124—28no—
799#124—28no—
800#124—84no—
801#123—28no—
802#123—28no—
803#123—216no—
804#123—24no—
805#123—24no—
806#123—216no—
807#123—216no—
808#123—28no—
809#123—28no—
810#123—28no—
811#123—28no—
812#123—28no—
813#123—28no—
814#123—216no—
815#123—216no—
816#123—216no—
817#123—84no—
818#123—84no—
819#123—84no—
820#123—84no—
821#123C2×D4116yes—
822C22⋊Q8—216no—
823C22⋊Q8—28no—
824C22⋊Q8—28no—
825C22⋊Q8—28no—
826C22⋊Q8—28no—
827C22⋊Q8—28no—
828C22⋊Q8—28no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—28no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—84no—
836C22⋊Q8C2×D4116yes—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—28no—
842#121—28no—
843#121—216no—
844#121—216no—
845#121—216no—
846#121—216no—
847#121—216no—
848#121—28no—
849#121—28no—
850#121—28no—
851#121—28no—
852#121—216no—
853#121—216no—
854#121—216no—
855#121—44no—
856#121—44no—
857#121—84no—
858#121—84no—
859#121—84no—
860#121—84no—
861#121C2×D4116yes—
862#120—24no—
863#120—24no—
864#120—216no—
865#120C2×D4116yes—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—216no—
877C4×D4—216no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—216no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—216no—
885C4×D4—28no—
886C4×D4—84no—
887C4×D4—84no—
888C4×D4—84no—
889C4×D4C2×D4116yes—
890C4×D4C2×D4116yes—
891#117—28no—
892#117—28no—
893#117—28no—
894#117—28no—
895#117—24no—
896#117—28no—
897#117—28no—
898#117—216no—
899#117—24no—
900#117—24no—
901#117—44no—
902#117C2×D418yes—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—28no—
905C2×C4⋊C4—216no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—84no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C22⋊C4—28no—
966C2×C22⋊C4—84no—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—28no—
1028C2×C42—24no—
1029C2×C42—24no—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086C24—42no—
1087C24—41no—
1088C24—41no—
1089C24—42no—
1090C24C22×D414yes—
1091C24C2511yescharacteristic
1092C24C2511yescharacteristic
1093C24C2514yes—
1094C24C2512yes—
1095C24C2511yescharacteristic
1096C24C2512yes—
1097#41—416no—
1098#41—416no—
1099#41—816no—
1100#41—816no—
1101C2×Q8—22no—
1102C2×Q8—24no—
1103C2×Q8—24no—
1104C2×Q8—24no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—41no—
1108C2×Q8—41no—
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—42no—
1114C2×Q8—42no—
1115C2×Q8C22×D414yes—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—28no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—22no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4C22×D418yes—
1173C2×D4C22×D414yes—
1174C2×D4C22×D418yes—
1175C2×D4C22×D418yes—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—28no—
1198C22×C4—416no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4C22×D414yes—
1233C22×C4C22×D418yes—
1234C22×C4C22×D418yes—
1235C22×C4C22×D414yes—
1236C22×C4C22×D418yes—
1237C22×C4C2514yes—
1238C22×C4C2514yes—
1239C22×C4C2514yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4C22×D418yes—
1311C4⋊C4C22×D418yes—
1312C4⋊C4C22×D418yes—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4C22×D418yes—
1367C22⋊C4C22×D418yes—
1368C22⋊C4C22×D418yes—
1369C22⋊C4C22×D418yes—
1370C22⋊C4C22×D418yes—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—28no—
1383C42—28no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42C22×D414yes—
1388C42C22×D414yes—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—24no—
1408C23—21no—
1409C23—21no—
1410C23—24no—
1411C23—24no—
1412C23—21no—
1413C23—21no—
1414C23—24no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—22no—
1422C23—44no—
1423C23—48no—
1424C23—82no—
1425C23—84no—
1426C23—82no—
1427C23C23×D414yes—
1428C23C23×D412yes—
1429C23C23×D414yes—
1430C23C2611yescharacteristic
1431Q8—44no—
1432Q8—44no—
1433Q8—48no—
1434Q8—84no—
1435Q8—84no—
1436D4—48no—
1437D4—48no—
1438D4—44no—
1439D4—48no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—48no—
1444D4—88no—
1445D4—88no—
1446D4—84no—
1447D4—84no—
1448D4—88no—
1449D4—88no—
1450D4—84no—
1451D4—84no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—164no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—28no—
1467C2×C4—216no—
1468C2×C4—216no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—44no—
1515C2×C4—48no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—84no—
1519C2×C4—88no—
1520C2×C4—84no—
1521C2×C4—88no—
1522C2×C4—88no—
1523C2×C4—84no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—88no—
1527C2×C4—84no—
1528C2×C4—88no—
1529C2×C4—164no—
1530C2×C4—164no—
1531C2×C4C23×D412yes—
1532C2×C4C23×D414yes—
1533C2×C4C23×D414yes—
1534C2×C4C23×D414yes—
1535C2×C4C23×D414yes—
1536C2×C4C23×D412yes—
1537C2×C4#58512yes—
1538C2×C4#58512yes—
1539C22—22no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—44no—
1561C22—44no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—41no—
1566C22—44no—
1567C22—41no—
1568C22—42no—
1569C22—44no—
1570C22—42no—
1571C22—44no—
1572C22—41no—
1573C22—44no—
1574C22—41no—
1575C22—88no—
1576C22C24×D411yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22C2×#58511yescharacteristic
1579C22H(7,𝔽2)12yes—
1580C222−1+612yes—
1581C4—24no—
1582C4—22no—
1583C4—24no—
1584C4—24no—
1585C4—24no—
1586C4—41no—
1587C4—41no—
1588C4—44no—
1589C4—42no—
1590C4—42no—
1591C4—44no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—44no—
1598C4—44no—
1599C4—44no—
1600C4—44no—
1601C4#348514yes—
1602C2—44no—
1603C2—42no—
1604C2—44no—
1605C2—81no—
1606C2—81no—
1607C2—84no—
1608C2C2×#348511yescharacteristic
1609C2#6285312yes—
1610C2#6288311yescharacteristic
1611C2#6288412yes—
1612C2#6289011yescharacteristic
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×#3539C2semidirect
2. C2×#3455C2semidirect
3. #50857C2semidirect
4. #50636C2semidirect
5. #47851C2semidirect
6. #47849C2semidirect
7. #47204C2semidirect
8. #47203C2semidirect
9. #46828C2semidirect
10. #46827C2semidirect
11. #38915C2semidirect
12. #38914C2semidirect
13. #38909C2semidirect
14. #38908C2semidirect
15. #38043C2semidirect
16. #38042C2semidirect
17. #38033C2semidirect
18. #38032C2semidirect
19. #37444C2semidirect
20. #37377C2semidirect
21. #37274C2semidirect
22. #37272C2semidirect
23. #35309C2semidirect
24. #35263C2semidirect
25. #35259C2semidirect
26. #35255C2semidirect
27. #34360C2semidirect
61. #2857C22semidirect
62. #2856C22semidirect
65. #2855C22semidirect
68. #2854C22semidirect
69. #2851C22semidirect
70. #2851C22semidirect
73. #2730C22semidirect
74. #2729C22semidirect
75. #2727C22semidirect
76. #2726C22semidirect
77. #2725C22semidirect
78. #2725C22semidirect
79. #2723C22semidirect
81. #2721C22semidirect
82. #2720C22semidirect
83. #2719C22semidirect
84. #2719C22semidirect
87. #2713C22semidirect
91. #2706C22semidirect
92. #2703C22semidirect
97. #2695C22semidirect
98. #2694C22semidirect
100. #2693C22semidirect
102. #2691C22semidirect
106. #2687C22semidirect
108. #2686C22semidirect
111. #2674C22semidirect
113. #2673C22semidirect
116. #2672C22semidirect
120. #2671C22semidirect
123. #2629C22semidirect
124. #2629C22semidirect
128. #2625C22semidirect
132. #2624C22semidirect
133. #2621C22semidirect
134. #2619C22semidirect
139. #2584C22semidirect
140. #2584C22semidirect
141. #2582C22semidirect
142. #2581C22semidirect
143. #2580C22semidirect
144. #2568C22semidirect
152. #2548C22semidirect
155. #2538C22semidirect
161. #2487C22semidirect
164. #2486C22semidirect
169. #2481C22semidirect
170. #2478C22semidirect
171. #2473C22semidirect
172. #2470C22semidirect
174. #2467C22semidirect
176. #2466C22semidirect
178. #2462C22semidirect
179. #2460C22semidirect
180. #2460C22semidirect
181. #2458C22semidirect
183. #2456C22semidirect
184. #2455C22semidirect
185. #2454C22semidirect
186. #2449C22semidirect
188. #2444C22semidirect
190. #2443C22semidirect
191. #2442C22semidirect
192. #2438C22semidirect
195. #2427C22semidirect
198. #2425C22semidirect
199. #2423C22semidirect
202. #2421C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2413C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
229. #2324C22semidirect
230. #2323C22semidirect
231. #2317C22semidirect
239. #2311C22semidirect
240. C4×C22⋊Q8C22semidirect
241. C4×#121C22semidirect
242. #2297C22semidirect
243. C2×#389C22semidirect
310. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35392
C2×#34552
#508572
#506362
#478512
#478492
#472042
#472032
#468282
#468272
#389152
#389142
#389092
#389082
#380432
#380422
#380332
#380322
#374442
#373772
#372742
#372722
#353092
#352632
#352592
#352552
#343602