Finite Group Databasebeta

← #7716056

Subgroups — #7716056

Order 512.

5152 conjugacy classes of subgroups.

The subgroup lattice has 1528 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50611C214yesmaximal, complemented
2#50551C214yesmaximal, complemented
3#49513C214yesmaximal, complemented
4#49413C214yesmaximal, complemented
5#45074C212yesmaximal, complemented
6#45032C212yesmaximal, complemented
7#45027C212yesmaximal, complemented
8#45020C212yesmaximal, complemented
9#44984C212yesmaximal, complemented
10#44975C212yesmaximal, complemented
11#44925C212yesmaximal, complemented
12#44917C212yesmaximal, complemented
13#39733C212yesmaximal, complemented
14#39496C211yesmaximal, characteristic, complemented
15#39359C211yesmaximal, characteristic, complemented
16#37943C212yesmaximal, complemented
17#37747C212yesmaximal, complemented
18#37667C214yesmaximal, complemented
19#36997C214yesmaximal, complemented
20#36176C211yesmaximal, characteristic, complemented
21#36117C211yesmaximal, characteristic, complemented
22#36103C212yesmaximal, complemented
23#35229C212yesmaximal, complemented
24#35150C212yesmaximal, complemented
25#35118C212yesmaximal, complemented
26#35005C211yesmaximal, characteristic, complemented
27#34570C211yesmaximal, characteristic, complemented
28#34460C212yesmaximal, complemented
29C2×#2344C211yesmaximal, characteristic, complemented
30C2×#547C2212yes—
31C2×#538C2212yes—
32C2×#537C2212yes—
33C2×#529C2212yes—
34C2×#525C2214yes—
35C22×#117C2212yes—
36C23×C4⋊C4C2211yescharacteristic
37#2857C2211yescharacteristic
38#2856C2211yescharacteristic
39#2854C2212yes—
40#2854C2212yes—
41#2854C2214yes—
42#2853C2214yes—
43#2849C2214yes—
44#2847C2212yes—
45#2808C2214yescomplemented
46#2806C2212yescomplemented
47#2805C2214yescomplemented
48#2805C2212yescomplemented
49#2803C2214yescomplemented
50#2802C2214yescomplemented
51#2800C2214yescomplemented
52#2797C2214yescomplemented
53#2788C2214yescomplemented
54#2787C2214yescomplemented
55#2787C2214yescomplemented
56#2786C2214yes—
57#2786C2214yescomplemented
58#2784C2214yescomplemented
59#2783C2214yescomplemented
60#2781C2214yescomplemented
61#2778C2214yes—
62#2776C2214yescomplemented
63#2774C2214yescomplemented
64#2770C2214yescomplemented
65#2765C2214yescomplemented
66#2759C2214yescomplemented
67#2757C2214yescomplemented
68#2756C2214yes—
69#2750C2214yes—
70#2750C2214yescomplemented
71#2745C2214yescomplemented
72#2701C2214yes—
73#2700C2214yes—
74#2699C2214yes—
75#2698C2214yes—
76#2691C2214yescomplemented
77#2690C2214yescomplemented
78#2689C2214yes—
79#2689C2214yescomplemented
80#2688C2214yes—
81#2687C2214yes—
82#2686C2214yes—
83#2686C2214yescomplemented
84#2683C2212yescomplemented
85#2682C2212yescomplemented
86#2681C2214yescomplemented
87#2654C2214yescomplemented
88#2653C2212yes—
89#2652C2212yes—
90#2651C2214yescomplemented
91#2649C2212yes—
92#2648C2212yes—
93#2646C2211yescharacteristic
94#2643C2212yes—
95#2639C2211yescharacteristic
96#2639C2212yes—
97#2627C2212yes—
98#2626C2211yescharacteristic
99#2622C2212yes—
100#2618C2212yes—
101#2617C2211yescharacteristic
102#2617C2214yes—
103#2617C2212yes—
104#2611C2214yes—
105#2610C2214yes—
106#2609C2214yes—
107#2609C2214yes—
108#2606C2214yescomplemented
109#2601C2214yes—
110#2601C2214yes—
111#2599C2214yes—
112#2598C2214yes—
113#2587C2214yescomplemented
114#2584C2212yescomplemented
115#2571C2211yescharacteristic, complemented
116#2563C2211yescharacteristic, complemented
117#2562C2212yes—
118#2559C2214yes—
119#2557C2214yes—
120#2552C2211yescharacteristic, complemented
121#2550C2212yescomplemented
122#2548C2211yescharacteristic, complemented
123#2535C2212yes—
124#2532C2214yescomplemented
125#2526C2214yescomplemented
126#2525C2214yescomplemented
127#2522C2214yescomplemented
128#2516C2214yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2510C2214yes—
133#2509C2212yescomplemented
134#2508C2212yescomplemented
135#2507C2212yescomplemented
136#2507C2212yescomplemented
137#2501C2212yes—
138#2497C2212yescomplemented
139#2496C2212yes—
140#2495C2212yes—
141#2495C2212yescomplemented
142#2494C2212yes—
143#2491C2212yes—
144#2490C2212yes—
145#2490C2212yescomplemented
146#2488C2214yes—
147#2486C2212yes—
148#2485C2212yes—
149#2479C2214yescomplemented
150#2476C2214yescomplemented
151#2468C2214yes—
152#2466C2214yes—
153#2465C2214yescomplemented
154#2459C2214yes—
155#2457C2214yes—
156#2454C2212yescomplemented
157#2452C2212yescomplemented
158#2449C2214yes—
159#2449C2214yes—
160#2448C2212yescomplemented
161#2447C2214yes—
162#2444C2214yes—
163#2444C2214yes—
164#2444C2214yescomplemented
165#2443C2214yes—
166#2443C2214yes—
167#2442C2212yes—
168#2440C2212yes—
169#2440C2212yes—
170#2440C2212yescomplemented
171#2438C2214yes—
172#2438C2214yescomplemented
173#2430C2214yes—
174#2428C2212yes—
175#2428C2212yescomplemented
176#2425C2214yes—
177#2425C2214yes—
178#2422C2212yes—
179#2420C2214yes—
180#2420C2212yes—
181#2419C2214yes—
182#2419C2214yes—
183#2416C2212yes—
184#2416C2212yes—
185#2416C2212yes—
186#2416C2212yescomplemented
187#2415C2214yes—
188#2415C2214yes—
189#2415C2214yes—
190#2415C2214yes—
191#2414C2214yes—
192#2414C2212yes—
193#2414C2214yes—
194#2414C2214yes—
195#2414C2214yes—
196#2413C2214yes—
197#2406C2214yes—
198#2401C2212yes—
199#2398C2212yes—
200#2395C2212yes—
201#2392C2212yes—
202#2378C2214yescomplemented
203#2376C2214yescomplemented
204#2369C2211yescharacteristic, complemented
205#2369C2212yescomplemented
206#2366C2211yescharacteristic, complemented
207#2363C2212yescomplemented
208#2361C2212yes—
209#2361C2212yes—
210#2361C2212yes—
211#2359C2214yes—
212#2354C2212yescomplemented
213#2354C2211yescharacteristic, complemented
214#2352C2212yes—
215Q8×C4⋊C4C2211yescharacteristic, complemented
216#2349C2212yescomplemented
217D4×C4⋊C4C2212yes—
218D4×C4⋊C4C2212yes—
219#2346C2212yescomplemented
220#2345C2212yescomplemented
221#2344C2214yes—
222#2344C2212yes—
223#2344C2212yes—
224#2344C2214yes—
225#2344C2212yes—
226#2344C2212yes—
227#2344C2212yes—
228#2339C2214yes—
229#2335C2214yescomplemented
230#2331C2212yescomplemented
231#2330C2212yescomplemented
232#2329C2214yescomplemented
233#2325C2212yes—
234#2324C2212yescomplemented
235#2324C2212yescomplemented
236#2322C2214yes—
237#2321C2214yes—
238#2319C2212yescomplemented
239#2319C2212yescomplemented
240#2316C2212yes—
241#2316C2212yescomplemented
242#2314C2212yescomplemented
243#2311C2214yes—
244C4×C22⋊Q8C2211yescharacteristic
245C4×#121C2211yescharacteristic
246C4×#121C2212yes—
247C4×#120C2212yes—
248C2×#389C2211yescharacteristic
249C2×#389C2211yescharacteristic
250#2290C2212yes—
251C2×#387C2212yes—
252C2×#387C2212yes—
253#2283C2212yes—
254C2×#381C2212yes—
255C2×#380C2211yescharacteristic
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2314yes—
260C24×C4C2312yes—
261C24×C4C2311yescharacteristic
262#547—216no—
263#538—48no—
264#537—48no—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2311yescharacteristic
267C2×#127C2311yescharacteristic
268#529—48no—
269C2×#126C2314yes—
270C2×#126C2314yes—
271C2×#125C2312yes—
272C2×#125C2312yes—
273C2×#124C2312yes—
274C2×#124C2314yes—
275#525—416no—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×#123C2314yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×C22⋊Q8C2314yes—
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2312yes—
292C2×#121C2311yescharacteristic
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2312yes—
298C2×#121C2314yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#120C2314yes—
304C2×#120C2312yes—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2312yes—
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2312yes—
312C2×C4×D4C2314yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2314yes—
321C2×#117—48no—
322C2×#117C2314yes—
323C2×#117C2312yes—
324C2×#117C2312yes—
325C2×#117C2314yes—
326C2×#117C2314yes—
327C2×#117C2314yes—
328C2×#117C2314yes—
329C2×#117C2314yes—
330C22×C4⋊C4—28no—
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2312yes—
335C22×C4⋊C4C2314yes—
336C22×C4⋊C4C2312yes—
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2312yes—
345C22×C42C2312yes—
346C22×C42C2312yes—
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349#401C2312yes—
350#401C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2312yes—
356#400C2314yes—
357#400C2312yes—
358#400C2312yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#399C2312yes—
367#399C2314yes—
368#399C2314yes—
369#398C2314yes—
370#398C2312yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2312yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#397C2314yes—
384#397C2312yes—
385#397C2314yes—
386#397C2314yes—
387#397C2312yes—
388#397C2312yes—
389#397C2312yes—
390#397C2312yes—
391#397C2312yes—
392#397C2314yes—
393#397C2312yes—
394#397C2312yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2312yes—
409#396C2312yes—
410#396C2314yes—
411#396C2312yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2312yes—
426#394C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2312yes—
432#394C2312yes—
433#394C2312yes—
434#394C2312yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#393C2314yes—
444#393C2312yes—
445#393C2312yes—
446#393C2314yes—
447#393C2314yes—
448#392C2314yes—
449#392C2312yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2312yes—
458#391C2314yes—
459#391C2311yescharacteristic
460#391C2314yes—
461#390C2312yes—
462#390C2314yes—
463#390C2314yes—
464#390C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2314yes—
469#390C2314yes—
470#390C2314yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2314yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2311yescharacteristic
480#389C2312yes—
481#389C2312yes—
482#389C2314yes—
483#389C2314yes—
484#389C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2314yes—
488#389C2312yes—
489#389C2314yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2314yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#385C2314yes—
611#385C2312yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2312yes—
631#385C2314yes—
632#385C2314yes—
633#384C2312yes—
634#384C2311yescharacteristic
635#384C2312yes—
636#384C2311yescharacteristic
637#383C2314yes—
638#383C2314yes—
639#382C2312yes—
640#382C2312yes—
641#382C2312yes—
642#382C2312yes—
643#382C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2314yes—
650#381C2314yes—
651#381C2314yes—
652#381C2314yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2314yes—
665#380C2314yes—
666#380C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2311yescharacteristic
674#379C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2311yescharacteristic
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709#376C2312yes—
710#376C2314yes—
711C2×#95C2311yescharacteristic
712C2×#95C2314yes—
713C2×#95C2312yes—
714C2×#95C2311yescharacteristic
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C25C2411yescharacteristic
720C2×#41—216no—
721C2×#41—48no—
722C2×#41—48no—
723C22×Q8C2411yescharacteristic
724C22×Q8C2414yes—
725C22×Q8C2412yes—
726C22×D4C2412yes—
727C22×D4C2414yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2414yes—
732C22×D4C2414yes—
733C22×D4C2411yescharacteristic
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C23×C4—28no—
739C23×C4—28no—
740C23×C4—24no—
741C23×C4—42no—
742C23×C4—42no—
743C23×C4—44no—
744C23×C4C2412yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2411yescharacteristic
763C4⋊Q8—28no—
764C4⋊Q8—42no—
765#127—42no—
766#126—48no—
767#126—48no—
768#125—44no—
769#125—44no—
770#124—44no—
771#124—48no—
772#123—216no—
773#123—216no—
774#123—48no—
775#123—48no—
776#123—48no—
777#123—48no—
778C22⋊Q8—24no—
779C22⋊Q8—216no—
780C22⋊Q8—48no—
781C22⋊Q8—48no—
782C22⋊Q8—44no—
783C22⋊Q8—48no—
784C22⋊Q8—48no—
785#121—28no—
786#121—28no—
787#121—24no—
788#121—28no—
789#121—48no—
790#121—48no—
791#121—48no—
792#121—44no—
793#121—44no—
794#121—44no—
795#121—48no—
796#121—48no—
797#121—48no—
798#121—44no—
799#120—28no—
800#120—216no—
801C4×Q8—42no—
802C4×Q8—44no—
803C4×D4—28no—
804C4×D4—28no—
805C4×D4—44no—
806C4×D4—44no—
807C4×D4—44no—
808C4×D4—42no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4—48no—
812C4×D4—48no—
813C4×D4—48no—
814C4×D4—48no—
815C4×D4—48no—
816C4×D4—48no—
817#117—44no—
818#117—48no—
819#117—48no—
820#117—48no—
821#117—48no—
822#117—48no—
823#117—48no—
824#117—44no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—28no—
827C2×C4⋊C4—28no—
828C2×C4⋊C4—28no—
829C2×C4⋊C4—28no—
830C2×C4⋊C4—216no—
831C2×C4⋊C4—28no—
832C2×C4⋊C4—42no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4#4118yes—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—44no—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C42—28no—
951C2×C42—42no—
952C2×C42—42no—
953C2×C42—44no—
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2412yes—
962C2×C42C2411yescharacteristic
963C2×C42C2411yescharacteristic
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2412yes—
973C2×C42C2411yescharacteristic
974C2×C42C2411yescharacteristic
975#95C2414yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2412yes—
983#95C2414yes—
984#95C2412yes—
985#95C2414yes—
986#95C2412yes—
987#95C2412yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037C24—22no—
1038C24—22no—
1039C24—41no—
1040C24—41no—
1041C24—41no—
1042C24—41no—
1043C24H(5,𝔽2)14yes—
1044C24C2514yes—
1045C24C2512yes—
1046C24C2512yes—
1047C24C2511yescharacteristic
1048#41—832no—
1049C2×Q8—28no—
1050C2×Q8—22no—
1051C2×Q8—41no—
1052C2×Q8—41no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×D4—24no—
1059C2×D4—28no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—28no—
1063C2×D4—28no—
1064C2×D4—24no—
1065C2×D4—24no—
1066C2×D4—28no—
1067C2×D4—28no—
1068C2×D4—24no—
1069C2×D4—28no—
1070C2×D4—24no—
1071C2×D4—22no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—41no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—42no—
1084C2×D4—41no—
1085C2×D4—42no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—42no—
1090C2×D4—44no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—28no—
1110C22×C4—28no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—28no—
1119C22×C4—28no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—42no—
1141C22×C4—44no—
1142C22×C4—41no—
1143C22×C4—42no—
1144C22×C4—41no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—432no—
1149C22×C4—416no—
1150C22×C4C2×#4114yes—
1151C22×C4C2×#4118yes—
1152C22×C4H(5,𝔽2)14yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2511yescharacteristic
1158C22×C4C2511yescharacteristic
1159C22×C4C2514yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2514yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2514yes—
1173C22×C4C2511yescharacteristic
1174C22×C4C2514yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C4⋊C4—24no—
1179C4⋊C4—28no—
1180C4⋊C4—28no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—24no—
1184C4⋊C4—28no—
1185C4⋊C4—24no—
1186C4⋊C4—28no—
1187C4⋊C4—28no—
1188C4⋊C4—28no—
1189C4⋊C4—24no—
1190C4⋊C4—22no—
1191C4⋊C4—24no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—24no—
1196C4⋊C4—24no—
1197C4⋊C4—24no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—41no—
1203C4⋊C4—42no—
1204C4⋊C4—41no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—41no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—41no—
1225C4⋊C4—42no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—42no—
1234C4⋊C4C2×#4118yes—
1235C4⋊C4C2×#4118yes—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—28no—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—24no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—24no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—28no—
1253C22⋊C4—24no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—42no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—44no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C42—24no—
1290C42—24no—
1291C42—24no—
1292C42—24no—
1293C42—24no—
1294C42—24no—
1295C42—22no—
1296C42—22no—
1297C42—24no—
1298C42—24no—
1299C42—41no—
1300C42—41no—
1301C42—42no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C42—44no—
1308C42—44no—
1309C42—44no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—28no—
1321C23—24no—
1322C23—22no—
1323C23—24no—
1324C23—22no—
1325C23—22no—
1326C23—24no—
1327C23—22no—
1328C23—24no—
1329C23—22no—
1330C23—24no—
1331C23—22no—
1332C23—24no—
1333C23—24no—
1334C23—22no—
1335C23—44no—
1336C23—44no—
1337C23—44no—
1338C23—44no—
1339C23—44no—
1340C23—44no—
1341C23C22×#4112yes—
1342C23C2×H(5,𝔽2)14yes—
1343C23C2×H(5,𝔽2)12yes—
1344C23C2×H(5,𝔽2)12yes—
1345C23C2611yescharacteristic
1346Q8—44no—
1347Q8—88no—
1348Q8—162no—
1349D4—48no—
1350D4—48no—
1351D4—416no—
1352D4—48no—
1353D4—48no—
1354D4—82no—
1355D4—84no—
1356D4—88no—
1357D4—88no—
1358D4—88no—
1359D4—164no—
1360D4—162no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—216no—
1370C2×C4—28no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—21no—
1431C2×C4—44no—
1432C2×C4—416no—
1433C2×C4—416no—
1434C2×C4—48no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—48no—
1438C2×C4—48no—
1439C2×C4—48no—
1440C2×C4—88no—
1441C2×C4—88no—
1442C2×C4—82no—
1443C2×C4—84no—
1444C2×C4—82no—
1445C2×C4—84no—
1446C2×C4—88no—
1447C2×C4—164no—
1448C2×C4C22×#4112yes—
1449C2×C4C22×#4118yes—
1450C2×C4C22×#4112yes—
1451C2×C4C2×H(5,𝔽2)12yes—
1452C2×C4C2×H(5,𝔽2)12yes—
1453C2×C4#58512yes—
1454C2×C4#58512yes—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—24no—
1462C22—24no—
1463C22—24no—
1464C22—416no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—44no—
1471C22—42no—
1472C22—44no—
1473C22—44no—
1474C22—42no—
1475C22—44no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—44no—
1480C22—44no—
1481C22—44no—
1482C22—42no—
1483C22#351914yes—
1484C22C23×#4111yescharacteristic
1485C22C22×H(5,𝔽2)11yescharacteristic
1486C22C22×H(5,𝔽2)11yescharacteristic
1487C22C2×#58511yescharacteristic
1488C22C2×#58511yescharacteristic
1489C222−1+611yescharacteristic
1490C222−1+611yescharacteristic
1491C4—28no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—44no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—44no—
1504C4—41no—
1505C4—41no—
1506C4—44no—
1507C4—42no—
1508C4—42no—
1509C4—44no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4#349314yes—
1516C2—24no—
1517C2—44no—
1518C2—82no—
1519C2—84no—
1520C2C2×#351911yescharacteristic
1521C2C2×#349311yescharacteristic
1522C2#6285011yescharacteristic
1523C2#6290111yescharacteristic
1524C2#6290111yescharacteristic
1525C2#6290111yescharacteristic
1526C2#6292511yescharacteristic
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. #50611C2semidirect
2. #50551C2semidirect
3. #49513C2semidirect
4. #49413C2semidirect
5. #45074C2semidirect
6. #45032C2semidirect
7. #45027C2semidirect
8. #45020C2semidirect
9. #44984C2semidirect
10. #44975C2semidirect
11. #44925C2semidirect
12. #44917C2semidirect
13. #39733C2semidirect
14. #39496C2semidirect
15. #39359C2semidirect
16. #37943C2semidirect
17. #37747C2semidirect
18. #37667C2semidirect
19. #36997C2semidirect
20. #36176C2semidirect
21. #36117C2semidirect
22. #36103C2semidirect
23. #35229C2semidirect
24. #35150C2semidirect
25. #35118C2semidirect
26. #35005C2semidirect
27. #34570C2semidirect
28. #34460C2semidirect
29. C2×#2344C2semidirect
45. #2808C22semidirect
46. #2806C22semidirect
47. #2805C22semidirect
48. #2805C22semidirect
49. #2803C22semidirect
50. #2802C22semidirect
51. #2800C22semidirect
52. #2797C22semidirect
53. #2788C22semidirect
54. #2787C22semidirect
55. #2787C22semidirect
57. #2786C22semidirect
58. #2784C22semidirect
59. #2783C22semidirect
60. #2781C22semidirect
62. #2776C22semidirect
63. #2774C22semidirect
64. #2770C22semidirect
65. #2765C22semidirect
66. #2759C22semidirect
67. #2757C22semidirect
70. #2750C22semidirect
71. #2745C22semidirect
76. #2691C22semidirect
77. #2690C22semidirect
79. #2689C22semidirect
83. #2686C22semidirect
84. #2683C22semidirect
85. #2682C22semidirect
86. #2681C22semidirect
87. #2654C22semidirect
90. #2651C22semidirect
108. #2606C22semidirect
113. #2587C22semidirect
114. #2584C22semidirect
115. #2571C22semidirect
116. #2563C22semidirect
120. #2552C22semidirect
121. #2550C22semidirect
122. #2548C22semidirect
124. #2532C22semidirect
125. #2526C22semidirect
126. #2525C22semidirect
127. #2522C22semidirect
128. #2516C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
133. #2509C22semidirect
134. #2508C22semidirect
135. #2507C22semidirect
136. #2507C22semidirect
138. #2497C22semidirect
141. #2495C22semidirect
145. #2490C22semidirect
149. #2479C22semidirect
150. #2476C22semidirect
153. #2465C22semidirect
156. #2454C22semidirect
157. #2452C22semidirect
160. #2448C22semidirect
164. #2444C22semidirect
170. #2440C22semidirect
172. #2438C22semidirect
175. #2428C22semidirect
186. #2416C22semidirect
202. #2378C22semidirect
203. #2376C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
206. #2366C22semidirect
207. #2363C22semidirect
212. #2354C22semidirect
213. #2354C22semidirect
215. Q8×C4⋊C4C22semidirect
216. #2349C22semidirect
219. #2346C22semidirect
220. #2345C22semidirect
229. #2335C22semidirect
230. #2331C22semidirect
231. #2330C22semidirect
232. #2329C22semidirect
234. #2324C22semidirect
235. #2324C22semidirect
238. #2319C22semidirect
239. #2319C22semidirect
241. #2316C22semidirect
242. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#506112
#505512
#495132
#494132
#450742
#450322
#450272
#450202
#449842
#449752
#449252
#449172
#397332
#394962
#393592
#379432
#377472
#376672
#369972
#361762
#361172
#361032
#352292
#351502
#351182
#350052
#345702
#344602
C2×#23442