Finite Group Databasebeta

← #7732034

Subgroups — #7732034

Order 512.

4622 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48886C214yesmaximal, complemented
2#48884C214yesmaximal, complemented
3#47221C214yesmaximal, complemented
4#46853C214yesmaximal, complemented
5#43511C214yesmaximal, complemented
6#43493C214yesmaximal, complemented
7#39561C212yesmaximal, complemented
8#39078C212yesmaximal, complemented
9#38263C212yesmaximal, complemented
10#38111C212yesmaximal, complemented
11#37968C212yesmaximal, complemented
12#37959C212yesmaximal, complemented
13#37951C212yesmaximal, complemented
14#37884C212yesmaximal, complemented
15#37877C212yesmaximal, complemented
16#37867C212yesmaximal, complemented
17#37442C211yesmaximal, characteristic
18#37347C212yesmaximal, complemented
19#37342C212yesmaximal, complemented
20#36277C212yesmaximal, complemented
21#36181C212yesmaximal, complemented
22#35608C212yesmaximal, complemented
23#35596C212yesmaximal, complemented
24#35263C211yesmaximal, characteristic
25#35002C211yesmaximal, characteristic, complemented
26C2×#2499C211yesmaximal, characteristic, complemented
27#34380C211yesmaximal, characteristic, complemented
28#34180C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic
30C2×#552C2214yes—
31C2×#543C2212yes—
32C2×#525C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×#117C2211yescharacteristic
35#2863C2212yescomplemented
36#2859C2212yescomplemented
37#2857C2212yes—
38#2857C2212yes—
39#2857C2212yescomplemented
40#2855C2212yes—
41#2855C2212yescomplemented
42#2854C2212yes—
43#2814C2214yes—
44#2799C2214yescomplemented
45#2798C2214yescomplemented
46#2796C2214yes—
47#2796C2214yes—
48#2792C2214yescomplemented
49#2791C2214yescomplemented
50#2789C2214yescomplemented
51#2787C2214yes—
52#2787C2214yes—
53#2775C2214yescomplemented
54#2774C2214yescomplemented
55#2773C2214yescomplemented
56#2770C2214yes—
57#2770C2214yes—
58#2769C2214yescomplemented
59#2767C2214yescomplemented
60#2767C2214yescomplemented
61#2762C2214yescomplemented
62#2762C2214yescomplemented
63#2759C2214yescomplemented
64#2758C2214yescomplemented
65#2755C2214yescomplemented
66#2755C2214yescomplemented
67#2754C2214yescomplemented
68#2746C2214yes—
69#2746C2214yes—
70#2744C2214yescomplemented
71#2737C2214yescomplemented
72#2728C2214yes—
73#2728C2214yes—
74#2723C2214yes—
75#2723C2214yes—
76#2723C2214yescomplemented
77#2721C2214yescomplemented
78#2720C2214yescomplemented
79#2719C2214yescomplemented
80#2690C2214yes—
81#2690C2214yes—
82#2690C2214yes—
83#2690C2214yes—
84#2659C2212yes—
85#2659C2212yes—
86#2659C2212yes—
87#2647C2212yescomplemented
88#2645C2212yescomplemented
89#2639C2212yes—
90#2628C2212yescomplemented
91#2627C2212yes—
92#2625C2212yes—
93#2625C2212yes—
94#2625C2212yescomplemented
95#2624C2212yes—
96#2618C2212yes—
97#2616C2212yes—
98#2612C2214yescomplemented
99#2607C2214yescomplemented
100#2605C2214yescomplemented
101#2605C2214yescomplemented
102#2597C2214yes—
103#2597C2214yes—
104#2590C2214yescomplemented
105#2589C2214yescomplemented
106#2588C2214yescomplemented
107#2588C2214yescomplemented
108#2588C2214yescomplemented
109#2586C2214yescomplemented
110#2585C2214yescomplemented
111#2578C2214yes—
112#2578C2214yes—
113#2577C2214yes—
114#2577C2214yes—
115#2574C2214yescomplemented
116#2569C2214yes—
117#2565C2214yescomplemented
118#2564C2214yes—
119#2560C2214yes—
120#2560C2214yes—
121#2549C2214yes—
122#2549C2214yes—
123#2531C2214yescomplemented
124#2530C2214yes—
125#2530C2214yes—
126#2529C2214yescomplemented
127#2528C2214yescomplemented
128#2524C2214yescomplemented
129#2511C2212yescomplemented
130#2511C2212yescomplemented
131#2509C2212yescomplemented
132#2508C2212yescomplemented
133#2506C2212yescomplemented
134#2506C2214yescomplemented
135#2506C2212yescomplemented
136#2503C2214yes—
137#2499C2214yes—
138#2499C2212yes—
139#2499C2212yes—
140#2499C2212yes—
141#2499C2212yes—
142#2499C2214yes—
143#2499C2214yescomplemented
144#2498C2214yes—
145#2498C2214yes—
146#2498C2214yes—
147#2496C2214yescomplemented
148#2496C2212yescomplemented
149#2496C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yescomplemented
152#2493C2214yes—
153#2493C2214yes—
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2489C2214yes—
157#2489C2214yes—
158#2488C2214yes—
159#2488C2214yes—
160#2487C2212yes—
161#2486C2214yes—
162#2486C2212yes—
163#2486C2212yes—
164#2485C2212yes—
165#2485C2212yes—
166#2479C2214yescomplemented
167#2477C2214yes—
168#2477C2214yes—
169#2475C2214yescomplemented
170#2469C2214yescomplemented
171#2462C2214yescomplemented
172#2451C2212yescomplemented
173#2451C2212yescomplemented
174#2440C2212yes—
175#2440C2212yes—
176#2440C2212yes—
177#2440C2212yes—
178#2438C2214yes—
179#2438C2214yes—
180#2423C2212yescomplemented
181#2423C2212yescomplemented
182#2421C2214yes—
183#2421C2214yes—
184#2417C2212yes—
185#2417C2212yes—
186#2412C2214yes—
187#2412C2214yes—
188#2409C2212yes—
189C2×#397C2212yes—
190C2×#397C2212yes—
191#2378C2214yes—
192#2368C2214yes—
193#2360C2212yes—
194#2360C2212yes—
195#2353C2214yes—
196#2347C2212yes—
197#2346C2212yes—
198#2345C2212yes—
199#2344C2212yes—
200#2344C2212yes—
201#2344C2214yes—
202#2343C2214yes—
203#2342C2214yes—
204#2342C2214yes—
205Q8×C22⋊C4C2212yes—
206#2335C2212yes—
207#2335C2212yes—
208#2333C2212yes—
209#2332C2212yes—
210#2331C2212yescomplemented
211#2329C2212yes—
212#2329C2211yescharacteristic
213#2329C2211yescharacteristic
214#2329C2212yes—
215#2325C2211yescharacteristic
216#2325C2211yescharacteristic
217#2323C2212yes—
218#2323C2212yes—
219#2323C2212yescomplemented
220#2321C2212yes—
221#2321C2212yes—
222#2320C2212yescomplemented
223#2317C2211yescharacteristic
224#2317C2211yescharacteristic
225#2316C2212yes—
226#2316C2211yescharacteristic
227#2316C2211yescharacteristic
228#2315C2212yes—
229#2314C2212yes—
230#2314C2212yes—
231#2314C2212yescomplemented
232#2313C2212yes—
233#2311C2211yescharacteristic
234#2311C2211yescharacteristic
235C4×C4⋊Q8C2212yescomplemented
236C4×C22⋊Q8C2212yescomplemented
237#2298C2212yes—
238#2297C2212yes—
239#2295C2212yescomplemented
240C2×#391C2211yescharacteristic
241C2×#391C2211yescharacteristic
242#2293C2212yes—
243#2290C2212yes—
244#2290C2212yes—
245C2×#387C2212yes—
246C2×#387C2212yes—
247#2285C2212yes—
248#2285C2212yescomplemented
249C2×#384C2211yescharacteristic
250#2283C2212yes—
251C2×#382C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255#2274C2211yescharacteristic
256#2274C2211yescharacteristic
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×Q8C2311yescharacteristic
261C24×C4C2311yescharacteristic
262#552—416no—
263#543—48no—
264C2×C4⋊Q8C2312yes—
265C2×C4⋊Q8C2312yes—
266C2×#126C2314yes—
267C2×#126C2314yes—
268C2×#125C2314yes—
269C2×#125C2314yes—
270C2×#125C2314yes—
271#525—28no—
272C2×#123C2312yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×C22⋊Q8—28no—
276C2×C22⋊Q8C2314yes—
277C2×C22⋊Q8C2312yes—
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2312yes—
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120C2312yes—
294C2×C4×Q8C2314yes—
295C2×C4×Q8C2312yes—
296C2×C4×Q8C2312yes—
297C2×C4×D4C2312yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2312yes—
300C2×C4×D4C2312yes—
301C2×#117—28no—
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C2×#117C2312yes—
305C2×#117C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C2×#117C2312yes—
308C2×#117C2311yescharacteristic
309C2×#117C2312yes—
310C2×#117C2314yes—
311C2×#117C2311yescharacteristic
312C2×#117C2311yescharacteristic
313C2×#117C2314yes—
314C2×#117C2314yes—
315C22×C4⋊C4C2312yes—
316C22×C4⋊C4C2312yes—
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2312yes—
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331C22×C42C2312yes—
332C22×C42C2312yes—
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335#401C2314yes—
336#401C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#399C2314yes—
361#399C2314yes—
362#399C2314yes—
363#399C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#396C2314yes—
404#396C2314yes—
405#395C2314yes—
406#395C2314yes—
407#395C2314yes—
408#395C2314yes—
409#395C2314yes—
410#395C2314yes—
411#395C2314yes—
412#395C2314yes—
413#395C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#391C2314yes—
424#391C2314yes—
425#391C2314yes—
426#391C2312yes—
427#391C2312yes—
428#391C2314yes—
429#391C2312yes—
430#391C2312yes—
431#391C2312yes—
432#391C2312yes—
433#391C2312yes—
434#391C2312yes—
435#391C2314yes—
436#391C2314yes—
437#391C2314yes—
438#391C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2312yes—
442#391C2314yes—
443#391C2314yes—
444#391C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2314yes—
449#390C2312yes—
450#390C2312yes—
451#390C2312yes—
452#390C2312yes—
453#390C2312yes—
454#390C2312yes—
455#389C2312yes—
456#389C2312yes—
457#389C2314yes—
458#389C2314yes—
459#389C2314yes—
460#389C2314yes—
461#389C2312yes—
462#389C2312yes—
463#389C2314yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2314yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2314yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2314yes—
488#389C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2312yes—
501#388C2312yes—
502#388C2312yes—
503#388C2312yes—
504#388C2312yes—
505#388C2312yes—
506#388C2312yes—
507#388C2312yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2312yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2312yes—
554#387C2312yes—
555#387C2312yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2312yes—
564#387C2312yes—
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#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2312yes—
589#386C2312yes—
590#386C2314yes—
591#386C2312yes—
592#386C2312yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2312yes—
604#385C2312yes—
605#385C2312yes—
606#385C2312yes—
607#385C2314yes—
608#385C2314yes—
609#384C2312yes—
610#384C2314yes—
611#384C2312yes—
612#384C2312yes—
613#384C2312yes—
614#384C2312yes—
615#384C2312yes—
616#383C2314yes—
617#383C2314yes—
618#383C2314yes—
619#383C2314yes—
620#382C2314yes—
621#382C2312yes—
622#382C2312yes—
623#382C2312yes—
624#382C2314yes—
625#382C2314yes—
626#382C2314yes—
627#382C2314yes—
628#382C2312yes—
629#382C2314yes—
630#381C2314yes—
631#381C2312yes—
632#381C2314yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#380C2314yes—
637#380C2314yes—
638#380C2312yes—
639#380C2312yes—
640#380C2312yes—
641#380C2312yes—
642#380C2311yescharacteristic
643#380C2312yes—
644#380C2314yes—
645#380C2311yescharacteristic
646#380C2311yescharacteristic
647#380C2312yes—
648#380C2312yes—
649#380C2314yes—
650#380C2311yescharacteristic
651#380C2314yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2314yes—
664#379C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703#376C2312yes—
704#376C2314yes—
705#376C2314yes—
706C2×#95C2312yes—
707C2×#95C2312yes—
708C2×#95C2311yescharacteristic
709C2×#95C2311yescharacteristic
710C2×#95C2312yes—
711C2×#95C2312yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C43C2312yes—
717C25C2411yescharacteristic
718C2×#41—24no—
719C2×#41—42no—
720C2×#41—42no—
721C22×Q8—24no—
722C22×Q8—42no—
723C22×Q8—42no—
724C22×Q8C2412yes—
725C22×Q8C2414yes—
726C22×Q8C2412yes—
727C22×Q8C2411yescharacteristic
728C22×Q8C2414yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C23×C4—42no—
734C23×C4—42no—
735C23×C4#4118yes—
736C23×C4C2412yes—
737C23×C4C2412yes—
738C23×C4C2412yes—
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C4⋊Q8—44no—
758C4⋊Q8—44no—
759#126—48no—
760#126—48no—
761#125—48no—
762#125—48no—
763#125—48no—
764#123—28no—
765#123—48no—
766#123—48no—
767C22⋊Q8—28no—
768C22⋊Q8—28no—
769C22⋊Q8—28no—
770C22⋊Q8—28no—
771C22⋊Q8—24no—
772C22⋊Q8—24no—
773C22⋊Q8—216no—
774C22⋊Q8—48no—
775C22⋊Q8—48no—
776C22⋊Q8—48no—
777C22⋊Q8—48no—
778C22⋊Q8—48no—
779C22⋊Q8—44no—
780C22⋊Q8—44no—
781C22⋊Q8—48no—
782#121—24no—
783#121—24no—
784#120—28no—
785C4×Q8—44no—
786C4×Q8—44no—
787C4×Q8—48no—
788C4×D4—28no—
789C4×D4—28no—
790C4×D4—28no—
791C4×D4—28no—
792#117—24no—
793#117—24no—
794#117—24no—
795#117—24no—
796#117—28no—
797#117—28no—
798#117—24no—
799#117—42no—
800#117—44no—
801#117—42no—
802#117—48no—
803#117—48no—
804#117—48no—
805C2×C4⋊C4—24no—
806C2×C4⋊C4—24no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—28no—
809C2×C4⋊C4—28no—
810C2×C4⋊C4—28no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C22⋊C4—28no—
878C2×C22⋊C4—28no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C42—28no—
923C2×C42—42no—
924C2×C42—44no—
925C2×C42—42no—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2412yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2412yes—
934C2×C42C2412yes—
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951#95C2414yes—
952#95C2414yes—
953#95C2412yes—
954#95C2412yes—
955#95C2412yes—
956#95C2412yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2414yes—
988#95C2412yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023C24—22no—
1024C24—22no—
1025C24—41no—
1026C24—41no—
1027C24—41no—
1028C24—41no—
1029C24C2×#4114yes—
1030C24C2512yes—
1031C24C2511yescharacteristic
1032C24C2511yescharacteristic
1033C24C2511yescharacteristic
1034#41—88no—
1035C2×Q8—24no—
1036C2×Q8—24no—
1037C2×Q8—22no—
1038C2×Q8—28no—
1039C2×Q8—24no—
1040C2×Q8—24no—
1041C2×Q8—44no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—44no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—44no—
1048C2×Q8—44no—
1049C2×Q8—44no—
1050C2×Q8—88no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—24no—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—22no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—24no—
1070C22×C4—24no—
1071C22×C4—24no—
1072C22×C4—24no—
1073C22×C4—24no—
1074C22×C4—24no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—24no—
1080C22×C4—24no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—416no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—42no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4C2×#4114yes—
1120C22×C4C2×#4114yes—
1121C22×C4C2×#4114yes—
1122C22×C4C2×#4114yes—
1123C22×C4C2×#4114yes—
1124C22×C4C2×#4114yes—
1125C22×C4H(5,𝔽2)14yes—
1126C22×C42−1+414yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2514yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2514yes—
1140C22×C4C2514yes—
1141C22×C4C2514yes—
1142C22×C4C2514yes—
1143C22×C4C2514yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2511yescharacteristic
1147C22×C4C2511yescharacteristic
1148C22×C4C2511yescharacteristic
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2511yescharacteristic
1152C4⋊C4—24no—
1153C4⋊C4—24no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—24no—
1159C4⋊C4—24no—
1160C4⋊C4—28no—
1161C4⋊C4—28no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—28no—
1169C4⋊C4—24no—
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—28no—
1173C4⋊C4—28no—
1174C4⋊C4—24no—
1175C4⋊C4—24no—
1176C4⋊C4—24no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—44no—
1186C4⋊C4—42no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C22⋊C4—24no—
1215C22⋊C4—24no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—24no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—44no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C42—24no—
1254C42—24no—
1255C42—24no—
1256C42—24no—
1257C42—24no—
1258C42—24no—
1259C42—24no—
1260C42—24no—
1261C42—24no—
1262C42—24no—
1263C42—24no—
1264C42—42no—
1265C42—42no—
1266C42—42no—
1267C42—42no—
1268C42—42no—
1269C42—42no—
1270C42—44no—
1271C42—44no—
1272C42—44no—
1273C42—44no—
1274C42—44no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—28no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—44no—
1303C23—44no—
1304C23—82no—
1305C23—82no—
1306C23—82no—
1307C23—82no—
1308C23C22×#4112yes—
1309C23C22×#4112yes—
1310C23C22×#4112yes—
1311C23C2×H(5,𝔽2)12yes—
1312C23C2×2−1+412yes—
1313C23C2611yescharacteristic
1314Q8—48no—
1315Q8—88no—
1316Q8—84no—
1317Q8—82no—
1318Q8—164no—
1319D4—48no—
1320D4—82no—
1321D4—84no—
1322D4—84no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—28no—
1334C2×C4—28no—
1335C2×C4—28no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—24no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
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—24no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—48no—
1399C2×C4—48no—
1400C2×C4—48no—
1401C2×C4—48no—
1402C2×C4—84no—
1403C2×C4—84no—
1404C2×C4—82no—
1405C2×C4—82no—
1406C2×C4—84no—
1407C2×C4—162no—
1408C2×C4—162no—
1409C2×C4—162no—
1410C2×C4—162no—
1411C2×C4C22×#4112yes—
1412C2×C4C22×#4112yes—
1413C2×C4C22×#4112yes—
1414C2×C4C22×#4112yes—
1415C2×C4C2×H(5,𝔽2)14yes—
1416C2×C4C2×2−1+414yes—
1417C2×C4#58512yes—
1418C2×C4#58512yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—88no—
1447C22#351114yes—
1448C22C23×#4111yescharacteristic
1449C22C22×H(5,𝔽2)11yescharacteristic
1450C22C22×2−1+411yescharacteristic
1451C22C2×#58511yescharacteristic
1452C22C2×#58511yescharacteristic
1453C222−1+611yescharacteristic
1454C222−1+611yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—24no—
1459C4—24no—
1460C4—42no—
1461C4—44no—
1462C4—42no—
1463C4—42no—
1464C4—44no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—44no—
1471C4—44no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—44no—
1476C4—44no—
1477C4—42no—
1478C4—42no—
1479C4#349114yes—
1480C2—24no—
1481C2—42no—
1482C2—42no—
1483C2—82no—
1484C2C2×#349111yescharacteristic
1485C2C2×#351111yescharacteristic
1486C2#6286011yescharacteristic
1487C2#6290111yescharacteristic
1488C2#6290411yescharacteristic
1489C2#6293111yescharacteristic
1490C2#6293211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48886C2semidirect
2. #48884C2semidirect
3. #47221C2semidirect
4. #46853C2semidirect
5. #43511C2semidirect
6. #43493C2semidirect
7. #39561C2semidirect
8. #39078C2semidirect
9. #38263C2semidirect
10. #38111C2semidirect
11. #37968C2semidirect
12. #37959C2semidirect
13. #37951C2semidirect
14. #37884C2semidirect
15. #37877C2semidirect
16. #37867C2semidirect
18. #37347C2semidirect
19. #37342C2semidirect
20. #36277C2semidirect
21. #36181C2semidirect
22. #35608C2semidirect
23. #35596C2semidirect
25. #35002C2semidirect
26. C2×#2499C2semidirect
27. #34380C2semidirect
28. #34180C2semidirect
35. #2863C22semidirect
36. #2859C22semidirect
39. #2857C22semidirect
41. #2855C22semidirect
44. #2799C22semidirect
45. #2798C22semidirect
48. #2792C22semidirect
49. #2791C22semidirect
50. #2789C22semidirect
53. #2775C22semidirect
54. #2774C22semidirect
55. #2773C22semidirect
58. #2769C22semidirect
59. #2767C22semidirect
60. #2767C22semidirect
61. #2762C22semidirect
62. #2762C22semidirect
63. #2759C22semidirect
64. #2758C22semidirect
65. #2755C22semidirect
66. #2755C22semidirect
67. #2754C22semidirect
70. #2744C22semidirect
71. #2737C22semidirect
76. #2723C22semidirect
77. #2721C22semidirect
78. #2720C22semidirect
79. #2719C22semidirect
87. #2647C22semidirect
88. #2645C22semidirect
90. #2628C22semidirect
94. #2625C22semidirect
98. #2612C22semidirect
99. #2607C22semidirect
100. #2605C22semidirect
101. #2605C22semidirect
104. #2590C22semidirect
105. #2589C22semidirect
106. #2588C22semidirect
107. #2588C22semidirect
108. #2588C22semidirect
109. #2586C22semidirect
110. #2585C22semidirect
115. #2574C22semidirect
117. #2565C22semidirect
123. #2531C22semidirect
126. #2529C22semidirect
127. #2528C22semidirect
128. #2524C22semidirect
129. #2511C22semidirect
130. #2511C22semidirect
131. #2509C22semidirect
132. #2508C22semidirect
133. #2506C22semidirect
134. #2506C22semidirect
135. #2506C22semidirect
143. #2499C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2496C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
166. #2479C22semidirect
169. #2475C22semidirect
170. #2469C22semidirect
171. #2462C22semidirect
172. #2451C22semidirect
173. #2451C22semidirect
180. #2423C22semidirect
181. #2423C22semidirect
210. #2331C22semidirect
219. #2323C22semidirect
222. #2320C22semidirect
231. #2314C22semidirect
235. C4×C4⋊Q8C22semidirect
236. C4×C22⋊Q8C22semidirect
239. #2295C22semidirect
248. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#488862
#488842
#472212
#468532
#435112
#434932
#395612
#390782
#382632
#381112
#379682
#379592
#379512
#378842
#378772
#378672
#374422
#373472
#373422
#362772
#361812
#356082
#355962
#352632
#350022
C2×#24992
#343802
#341802
#340822