Finite Group Databasebeta

← #8157145

Subgroups — #8157145

Order 512.

4414 conjugacy classes of subgroups.

The subgroup lattice has 1463 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59663C212yesmaximal, complemented
2#59148C212yesmaximal
3#58037C214yesmaximal, complemented
4#57892C214yesmaximal, complemented
5#56770C214yesmaximal, complemented
6#54766C214yesmaximal, complemented
7#53037C212yesmaximal, complemented
8#52994C212yesmaximal, complemented
9#52603C214yesmaximal, complemented
10#45429C212yesmaximal, complemented
11#45383C212yesmaximal, complemented
12#42902C212yesmaximal, complemented
13#42676C212yesmaximal, complemented
14#42639C212yesmaximal, complemented
15#42526C212yesmaximal, complemented
16#40760C214yesmaximal, complemented
17#39640C211yesmaximal, characteristic, complemented
18#39624C211yesmaximal, characteristic, complemented
19#38057C212yesmaximal, complemented
20#38054C212yesmaximal
21#37956C212yesmaximal, complemented
22#37880C212yesmaximal, complemented
23#37478C212yesmaximal, complemented
24#36732C212yesmaximal, complemented
25#36161C211yesmaximal, characteristic
26#36154C211yesmaximal, characteristic
27#35015C211yesmaximal, characteristic, complemented
28C2×#2447C211yesmaximal, characteristic
29#34595C211yesmaximal, characteristic, complemented
30C2×#556C2212yes—
31C2×#556C2211yescharacteristic
32C2×#554C2211yescharacteristic
33C22×#124C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35#2857C2211yescharacteristic
36#2857C2211yescharacteristic
37#2855C2212yes—
38#2848C2212yes—
39#2848C2212yes—
40#2841C2214yescomplemented
41#2841C2214yescomplemented
42#2838C2214yescomplemented
43#2838C2214yescomplemented
44#2836C2214yescomplemented
45#2836C2214yescomplemented
46#2836C2214yescomplemented
47#2836C2214yescomplemented
48#2835C2214yescomplemented
49#2831C2214yescomplemented
50#2831C2214yescomplemented
51#2817C2214yescomplemented
52#2811C2212yescomplemented
53#2806C2212yescomplemented
54#2806C2212yescomplemented
55#2806C2214yescomplemented
56#2805C2212yescomplemented
57#2802C2214yescomplemented
58#2798C2214yescomplemented
59#2798C2214yescomplemented
60#2788C2214yescomplemented
61#2787C2214yescomplemented
62#2787C2214yescomplemented
63#2787C2214yescomplemented
64#2787C2214yescomplemented
65#2775C2214yescomplemented
66#2775C2214yescomplemented
67#2774C2214yescomplemented
68#2772C2214yescomplemented
69#2770C2214yescomplemented
70#2764C2214yescomplemented
71#2762C2214yescomplemented
72#2762C2214yescomplemented
73#2761C2214yes—
74#2758C2214yescomplemented
75#2757C2214yes—
76#2755C2214yescomplemented
77#2755C2214yescomplemented
78#2747C2214yescomplemented
79#2745C2214yescomplemented
80#2744C2214yescomplemented
81#2744C2214yescomplemented
82#2739C2214yescomplemented
83#2739C2214yescomplemented
84#2739C2214yescomplemented
85#2737C2214yes—
86#2725C2214yescomplemented
87#2723C2214yes—
88#2722C2214yescomplemented
89#2722C2214yescomplemented
90#2715C2214yes—
91#2700C2214yes—
92#2698C2214yescomplemented
93#2698C2214yescomplemented
94#2698C2214yescomplemented
95#2698C2214yescomplemented
96#2698C2214yescomplemented
97#2690C2214yescomplemented
98#2690C2214yescomplemented
99#2689C2214yescomplemented
100#2689C2214yescomplemented
101#2689C2214yescomplemented
102#2667C2214yescomplemented
103#2666C2212yescomplemented
104#2666C2212yescomplemented
105#2666C2212yescomplemented
106#2666C2212yescomplemented
107#2665C2214yescomplemented
108#2659C2211yescharacteristic
109#2659C2211yescharacteristic
110#2659C2212yes—
111#2652C2214yescomplemented
112#2650C2214yescomplemented
113#2646C2212yes—
114#2646C2212yes—
115#2646C2212yes—
116#2645C2212yescomplemented
117#2644C2212yes—
118#2642C2212yescomplemented
119#2640C2212yes—
120#2637C2214yescomplemented
121#2627C2211yescharacteristic
122#2627C2212yes—
123#2627C2211yescharacteristic
124#2627C2212yes—
125#2627C2214yescomplemented
126#2627C2214yescomplemented
127#2625C2214yescomplemented
128#2599C2214yescomplemented
129#2592C2212yes—
130#2590C2214yescomplemented
131#2588C2214yescomplemented
132#2588C2214yescomplemented
133#2584C2212yescomplemented
134#2584C2214yescomplemented
135#2582C2212yescomplemented
136#2582C2212yescomplemented
137#2577C2214yescomplemented
138#2569C2214yes—
139#2568C2212yescomplemented
140#2567C2212yescomplemented
141#2563C2211yescharacteristic
142#2561C2214yes—
143#2549C2214yes—
144#2549C2214yes—
145#2547C2212yes—
146#2547C2211yescharacteristic
147#2546C2212yescomplemented
148#2545C2212yes—
149#2545C2212yes—
150#2538C2211yescharacteristic
151#2538C2211yescharacteristic
152#2521C2214yes—
153#2514C2212yescomplemented
154#2512C2212yes—
155#2511C2212yescomplemented
156#2511C2212yescomplemented
157#2509C2212yescomplemented
158#2507C2212yescomplemented
159#2506C2212yescomplemented
160#2505C2214yes—
161#2505C2214yes—
162#2505C2214yes—
163#2493C2214yes—
164#2493C2214yes—
165#2493C2214yescomplemented
166#2487C2212yes—
167#2485C2212yes—
168#2484C2214yescomplemented
169#2483C2214yes—
170#2480C2214yes—
171#2480C2214yes—
172#2480C2214yes—
173#2480C2214yes—
174#2478C2214yescomplemented
175#2478C2214yescomplemented
176#2474C2214yes—
177#2473C2214yes—
178#2473C2214yescomplemented
179#2466C2214yes—
180#2465C2214yescomplemented
181#2454C2212yes—
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2452C2212yes—
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2451C2212yescomplemented
188#2451C2212yescomplemented
189#2450C2214yes—
190#2448C2212yes—
191#2448C2212yes—
192#2447C2212yes—
193#2447C2212yes—
194#2447C2212yes—
195#2447C2214yes—
196#2447C2212yes—
197#2447C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2214yes—
201#2446C2212yescomplemented
202#2446C2212yescomplemented
203#2446C2212yescomplemented
204#2446C2212yescomplemented
205#2442C2212yes—
206#2440C2212yes—
207#2438C2214yescomplemented
208#2438C2214yescomplemented
209#2438C2214yescomplemented
210#2437C2214yes—
211#2437C2214yes—
212#2437C2214yes—
213#2435C2212yes—
214#2434C2212yes—
215#2421C2214yescomplemented
216#2417C2212yes—
217#2415C2212yes—
218#2402C2212yescomplemented
219#2402C2212yescomplemented
220#2399C2212yescomplemented
221#2399C2212yescomplemented
222C2×#397C2212yes—
223C2×#397C2212yes—
224#2367C2212yes—
225#2367C2212yes—
226#2365C2212yescomplemented
227#2360C2214yes—
228#2360C2212yes—
229#2360C2212yes—
230#2354C2211yescharacteristic
231#2351C2212yescomplemented
232#2349C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234#2342C2214yes—
235Q8×C22⋊C4C2212yes—
236D4×C22⋊C4C2212yes—
237#2329C2212yes—
238#2329C2212yes—
239#2329C2212yes—
240#2327C2212yescomplemented
241#2326C2212yes—
242#2320C2212yescomplemented
243#2319C2212yes—
244#2313C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2211yescharacteristic
248C4×C22⋊Q8C2211yescharacteristic
249C2×#391C2211yescharacteristic
250C2×#391C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#389C2211yescharacteristic
253C2×#385C2212yes—
254#2283C2212yes—
255#2280C2212yes—
256C2×#381C2212yes—
257C2×#380C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C23×Q8C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C24×C4C2312yes—
262#556—44no—
263#556—48no—
264#554—44no—
265C2×C4⋊Q8C2311yescharacteristic
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2311yescharacteristic
270C2×#126C2314yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#125C2312yes—
275C2×#125C2314yes—
276C2×#124—44no—
277C2×#124C2312yes—
278C2×#124C2312yes—
279C2×#124C2312yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C4×Q8C2312yes—
296C2×C4×Q8C2311yescharacteristic
297C2×C4×Q8C2312yes—
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2312yes—
300C2×C4×Q8C2312yes—
301C2×C4×Q8C2312yes—
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2314yes—
304C2×C4×D4—44no—
305C2×C4×D4C2312yes—
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2311yescharacteristic
313C2×#117C2314yes—
314C2×#117C2312yes—
315C2×#117C2312yes—
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2312yes—
321C22×C4⋊C4C2312yes—
322C22×C4⋊C4C2312yes—
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2314yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332#401C2314yes—
333#401C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2312yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2312yes—
346#400C2312yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2312yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2312yes—
361#400C2312yes—
362#400C2312yes—
363#400C2312yes—
364#400C2314yes—
365#400C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2312yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2312yes—
378#398C2312yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2312yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2312yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2312yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#395C2312yes—
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#395C2312yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#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#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#386C2314yes—
601#386C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2312yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#385C2314yes—
622#385C2312yes—
623#385C2314yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#384C2311yescharacteristic
631#384C2312yes—
632#384C2311yescharacteristic
633#383C2314yes—
634#383C2314yes—
635#383C2312yes—
636#383C2312yes—
637#382C2312yes—
638#382C2314yes—
639#382C2314yes—
640#382C2314yes—
641#382C2312yes—
642#382C2312yes—
643#381C2312yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2312yes—
649#381C2314yes—
650#381C2314yes—
651#381C2314yes—
652#381C2314yes—
653#381C2314yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2312yes—
663#380C2312yes—
664#380C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2311yescharacteristic
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#379C2314yes—
679#379C2314yes—
680#379C2314yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
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×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707#376C2312yes—
708#376C2312yes—
709C2×#95C2312yes—
710C2×#95C2311yescharacteristic
711C2×#95C2312yes—
712C2×#95C2314yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2311yescharacteristic
717C25C2412yes—
718C22×Q8—24no—
719C22×Q8—42no—
720C22×Q8—42no—
721C22×Q8C2412yes—
722C22×Q8C2412yes—
723C22×Q8C2411yescharacteristic
724C22×Q8C2411yescharacteristic
725C22×Q8C2412yes—
726C22×Q8C2412yes—
727C22×Q8C2414yes—
728C22×Q8C2412yes—
729C22×D4—24no—
730C22×D4—24no—
731C22×D4—42no—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2411yescharacteristic
735C23×C4—28no—
736C23×C4—44no—
737C23×C4—82no—
738C23×C4C2411yescharacteristic
739C23×C4C2412yes—
740C23×C4C2412yes—
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2412yes—
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2414yes—
753C23×C4C2411yescharacteristic
754C4⋊Q8—44no—
755C4⋊Q8—42no—
756C4⋊Q8—44no—
757C4⋊Q8—42no—
758C4⋊Q8—44no—
759#126—48no—
760#126—48no—
761#126—48no—
762#126—84no—
763#125—44no—
764#125—84no—
765#124—28no—
766#124—28no—
767#124—44no—
768#124—44no—
769#124—48no—
770C22⋊Q8—28no—
771C22⋊Q8—24no—
772C22⋊Q8—24no—
773C22⋊Q8—44no—
774C22⋊Q8—44no—
775C22⋊Q8—48no—
776C22⋊Q8—48no—
777C22⋊Q8—44no—
778C22⋊Q8—48no—
779C22⋊Q8—44no—
780C22⋊Q8—84no—
781C22⋊Q8—82no—
782C22⋊Q8—82no—
783C4×Q8—42no—
784C4×Q8—42no—
785C4×Q8—44no—
786C4×Q8—44no—
787C4×Q8—44no—
788C4×Q8—44no—
789C4×Q8—44no—
790C4×Q8—44no—
791C4×Q8—84no—
792C4×D4—24no—
793C4×D4—24no—
794C4×D4—28no—
795C4×D4—42no—
796C4×D4—42no—
797C4×D4—44no—
798C4×D4—44no—
799C4×D4—44no—
800#117—48no—
801#117—44no—
802#117—82no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—44no—
808C2×C4⋊C4—82no—
809C2×C4⋊C4—82no—
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C22⋊C4—48no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
884C2×C22⋊C4—44no—
885C2×C22⋊C4—44no—
886C2×C22⋊C4—82no—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C42—24no—
920C2×C42—42no—
921C2×C42—42no—
922C2×C42C2411yescharacteristic
923C2×C42C2411yescharacteristic
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2412yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2414yes—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935C2×C42C2411yescharacteristic
936C2×C42C2411yescharacteristic
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2412yes—
942#95C2412yes—
943#95C2412yes—
944#95C2412yes—
945#95C2412yes—
946#95C2412yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2412yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2412yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020C24—24no—
1021C24—24no—
1022C24—24no—
1023C24—24no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24C2512yes—
1028C24C2512yes—
1029C24C2511yescharacteristic
1030C2×Q8—24no—
1031C2×Q8—24no—
1032C2×Q8—24no—
1033C2×Q8—24no—
1034C2×Q8—22no—
1035C2×Q8—22no—
1036C2×Q8—24no—
1037C2×Q8—24no—
1038C2×Q8—24no—
1039C2×Q8—41no—
1040C2×Q8—41no—
1041C2×Q8—42no—
1042C2×Q8—44no—
1043C2×Q8—42no—
1044C2×Q8—44no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—42no—
1048C2×Q8—44no—
1049C2×Q8—42no—
1050C2×Q8—42no—
1051C2×Q8—42no—
1052C2×Q8—42no—
1053C2×Q8—42no—
1054C2×Q8—88no—
1055C2×D4—24no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—24no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—416no—
1063C2×D4—42no—
1064C2×D4H(5,𝔽2)14yes—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—24no—
1068C22×C4—24no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—28no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—24no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—41no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—44no—
1094C22×C4—41no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—41no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—44no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—42no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—816no—
1112C22×C42−1+414yes—
1113C22×C42−1+414yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2514yes—
1119C22×C4C2512yes—
1120C22×C4C2514yes—
1121C22×C4C2511yescharacteristic
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2514yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2514yes—
1128C22×C4C2514yes—
1129C22×C4C2514yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2511yescharacteristic
1136C22×C4C2511yescharacteristic
1137C22×C4C2511yescharacteristic
1138C22×C4C2511yescharacteristic
1139C22×C4C2511yescharacteristic
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—24no—
1143C4⋊C4—24no—
1144C4⋊C4—24no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—24no—
1148C4⋊C4—28no—
1149C4⋊C4—24no—
1150C4⋊C4—24no—
1151C4⋊C4—24no—
1152C4⋊C4—24no—
1153C4⋊C4—41no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—44no—
1159C4⋊C4—42no—
1160C4⋊C4—41no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—41no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—44no—
1177C4⋊C4—41no—
1178C4⋊C4—42no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—42no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—44no—
1194C4⋊C4—42no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—42no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—42no—
1204C4⋊C4—44no—
1205C4⋊C4—42no—
1206C4⋊C4—44no—
1207C4⋊C4—42no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C22⋊C4—28no—
1212C22⋊C4—24no—
1213C22⋊C4—24no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—24no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—28no—
1223C22⋊C4—24no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C42—22no—
1244C42—22no—
1245C42—24no—
1246C42—24no—
1247C42—24no—
1248C42—24no—
1249C42—24no—
1250C42—24no—
1251C42—24no—
1252C42—41no—
1253C42—41no—
1254C42—42no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—44no—
1260C42—44no—
1261C42—44no—
1262C42—44no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—48no—
1281C23—48no—
1282C23—48no—
1283C23—48no—
1284C23—84no—
1285C23—84no—
1286C23—84no—
1287C23C2×H(5,𝔽2)14yes—
1288C23C2×2−1+412yes—
1289C23C2×2−1+412yes—
1290C23#58512yes—
1291C23C2611yescharacteristic
1292Q8—48no—
1293Q8—48no—
1294Q8—82no—
1295Q8—82no—
1296Q8—84no—
1297Q8—84no—
1298Q8—88no—
1299Q8—162no—
1300D4—28no—
1301D4—48no—
1302D4—44no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—28no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—24no—
1319C2×C4—22no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—24no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—24no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—21no—
1353C2×C4—22no—
1354C2×C4—21no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—24no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—21no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—21no—
1376C2×C4—44no—
1377C2×C4—48no—
1378C2×C4—48no—
1379C2×C4—44no—
1380C2×C4—84no—
1381C2×C4—84no—
1382C2×C4—82no—
1383C2×C4—82no—
1384C2×C4—82no—
1385C2×C4—88no—
1386C2×C4—82no—
1387C2×C4—84no—
1388C2×C4—84no—
1389C2×C4—84no—
1390C2×C4—164no—
1391C2×C4C2×H(5,𝔽2)12yes—
1392C2×C4C2×2−1+412yes—
1393C2×C4C2×2−1+412yes—
1394C2×C4C2×2−1+412yes—
1395C2×C4C2×2−1+412yes—
1396C2×C4#58512yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—24no—
1404C22—24no—
1405C22—24no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—816no—
1418C22#355514yes—
1419C22C22×H(5,𝔽2)11yescharacteristic
1420C22C22×2−1+411yescharacteristic
1421C22C22×2−1+411yescharacteristic
1422C22C2×#58511yescharacteristic
1423C22C2×#58511yescharacteristic
1424C22H(7,𝔽2)11yescharacteristic
1425C222−1+611yescharacteristic
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—44no—
1430C4—44no—
1431C4—42no—
1432C4—44no—
1433C4—42no—
1434C4—42no—
1435C4—42no—
1436C4—42no—
1437C4—42no—
1438C4—42no—
1439C4—41no—
1440C4—42no—
1441C4—42no—
1442C4—44no—
1443C4—41no—
1444C4—42no—
1445C4—42no—
1446C4—42no—
1447C4—44no—
1448C4—42no—
1449C4—44no—
1450C4—42no—
1451C4#353514yes—
1452C2—24no—
1453C2—44no—
1454C2—82no—
1455C2C2×#353511yescharacteristic
1456C2C2×#355511yescharacteristic
1457C2#6287911yescharacteristic
1458C2#6289411yescharacteristic
1459C2#6289811yescharacteristic
1460C2#6295911yescharacteristic
1461C2#6296511yescharacteristic
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. #59663C2semidirect
3. #58037C2semidirect
4. #57892C2semidirect
5. #56770C2semidirect
6. #54766C2semidirect
7. #53037C2semidirect
8. #52994C2semidirect
9. #52603C2semidirect
10. #45429C2semidirect
11. #45383C2semidirect
12. #42902C2semidirect
13. #42676C2semidirect
14. #42639C2semidirect
15. #42526C2semidirect
16. #40760C2semidirect
17. #39640C2semidirect
18. #39624C2semidirect
19. #38057C2semidirect
21. #37956C2semidirect
22. #37880C2semidirect
23. #37478C2semidirect
24. #36732C2semidirect
27. #35015C2semidirect
29. #34595C2semidirect
40. #2841C22semidirect
41. #2841C22semidirect
42. #2838C22semidirect
43. #2838C22semidirect
44. #2836C22semidirect
45. #2836C22semidirect
46. #2836C22semidirect
47. #2836C22semidirect
48. #2835C22semidirect
49. #2831C22semidirect
50. #2831C22semidirect
51. #2817C22semidirect
52. #2811C22semidirect
53. #2806C22semidirect
54. #2806C22semidirect
55. #2806C22semidirect
56. #2805C22semidirect
57. #2802C22semidirect
58. #2798C22semidirect
59. #2798C22semidirect
60. #2788C22semidirect
61. #2787C22semidirect
62. #2787C22semidirect
63. #2787C22semidirect
64. #2787C22semidirect
65. #2775C22semidirect
66. #2775C22semidirect
67. #2774C22semidirect
68. #2772C22semidirect
69. #2770C22semidirect
70. #2764C22semidirect
71. #2762C22semidirect
72. #2762C22semidirect
74. #2758C22semidirect
76. #2755C22semidirect
77. #2755C22semidirect
78. #2747C22semidirect
79. #2745C22semidirect
80. #2744C22semidirect
81. #2744C22semidirect
82. #2739C22semidirect
83. #2739C22semidirect
84. #2739C22semidirect
86. #2725C22semidirect
88. #2722C22semidirect
89. #2722C22semidirect
92. #2698C22semidirect
93. #2698C22semidirect
94. #2698C22semidirect
95. #2698C22semidirect
96. #2698C22semidirect
97. #2690C22semidirect
98. #2690C22semidirect
99. #2689C22semidirect
100. #2689C22semidirect
101. #2689C22semidirect
102. #2667C22semidirect
103. #2666C22semidirect
104. #2666C22semidirect
105. #2666C22semidirect
106. #2666C22semidirect
107. #2665C22semidirect
111. #2652C22semidirect
112. #2650C22semidirect
116. #2645C22semidirect
118. #2642C22semidirect
120. #2637C22semidirect
125. #2627C22semidirect
126. #2627C22semidirect
127. #2625C22semidirect
128. #2599C22semidirect
130. #2590C22semidirect
131. #2588C22semidirect
132. #2588C22semidirect
133. #2584C22semidirect
134. #2584C22semidirect
135. #2582C22semidirect
136. #2582C22semidirect
137. #2577C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
147. #2546C22semidirect
153. #2514C22semidirect
155. #2511C22semidirect
156. #2511C22semidirect
157. #2509C22semidirect
158. #2507C22semidirect
159. #2506C22semidirect
165. #2493C22semidirect
168. #2484C22semidirect
174. #2478C22semidirect
175. #2478C22semidirect
178. #2473C22semidirect
180. #2465C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
201. #2446C22semidirect
202. #2446C22semidirect
203. #2446C22semidirect
204. #2446C22semidirect
207. #2438C22semidirect
208. #2438C22semidirect
209. #2438C22semidirect
215. #2421C22semidirect
218. #2402C22semidirect
219. #2402C22semidirect
220. #2399C22semidirect
221. #2399C22semidirect
226. #2365C22semidirect
231. #2351C22semidirect
240. #2327C22semidirect
242. #2320C22semidirect

Maximal subgroups

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

subgroupindex
#596632
#591482
#580372
#578922
#567702
#547662
#530372
#529942
#526032
#454292
#453832
#429022
#426762
#426392
#425262
#407602
#396402
#396242
#380572
#380542
#379562
#378802
#374782
#367322
#361612
#361542
#350152
C2×#24472
#345952