Finite Group Databasebeta

← #8157205

Subgroups — #8157205

Order 512.

4456 conjugacy classes of subgroups.

The subgroup lattice has 1465 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59424C212yesmaximal
2#59154C212yesmaximal, complemented
3#58289C214yesmaximal, complemented
4#58055C214yesmaximal, complemented
5#56676C214yesmaximal, complemented
6#54091C214yesmaximal, complemented
7#53035C212yesmaximal, complemented
8#52994C212yesmaximal, complemented
9#52567C214yesmaximal, complemented
10#45424C212yesmaximal, complemented
11#45381C212yesmaximal, complemented
12#42884C212yesmaximal, complemented
13#42721C212yesmaximal, complemented
14#42638C212yesmaximal, complemented
15#42494C212yesmaximal, complemented
16#40735C214yesmaximal, complemented
17#39639C211yesmaximal, characteristic, complemented
18#39623C211yesmaximal, characteristic, complemented
19#38066C212yesmaximal, complemented
20#38054C212yesmaximal
21#37956C212yesmaximal, complemented
22#37880C212yesmaximal, complemented
23#37477C212yesmaximal, complemented
24#36728C212yesmaximal, complemented
25#36161C211yesmaximal, characteristic
26#36154C211yesmaximal, characteristic
27#35015C211yesmaximal, characteristic, complemented
28C2×#2454C211yesmaximal, characteristic
29#34595C211yesmaximal, characteristic, complemented
30C2×#557C2212yescomplemented
31C2×#556C2211yescharacteristic
32C2×#554C2211yescharacteristic
33C22×#125C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35#2857C2211yescharacteristic
36#2857C2211yescharacteristic
37#2855C2212yes—
38#2848C2212yes—
39#2848C2212yes—
40#2841C2214yescomplemented
41#2841C2214yescomplemented
42#2841C2214yescomplemented
43#2838C2214yescomplemented
44#2838C2214yescomplemented
45#2836C2214yescomplemented
46#2836C2214yescomplemented
47#2836C2214yescomplemented
48#2834C2214yescomplemented
49#2831C2214yescomplemented
50#2821C2214yescomplemented
51#2821C2214yescomplemented
52#2809C2212yescomplemented
53#2806C2212yescomplemented
54#2802C2214yescomplemented
55#2792C2214yescomplemented
56#2788C2214yescomplemented
57#2787C2214yescomplemented
58#2787C2214yescomplemented
59#2786C2214yes—
60#2776C2214yescomplemented
61#2771C2214yescomplemented
62#2770C2214yescomplemented
63#2769C2214yescomplemented
64#2766C2214yescomplemented
65#2761C2214yes—
66#2757C2214yes—
67#2747C2214yescomplemented
68#2747C2214yescomplemented
69#2747C2214yescomplemented
70#2745C2214yescomplemented
71#2744C2214yescomplemented
72#2740C2214yes—
73#2739C2214yescomplemented
74#2738C2214yescomplemented
75#2738C2214yescomplemented
76#2737C2214yes—
77#2734C2212yescomplemented
78#2726C2214yescomplemented
79#2726C2212yescomplemented
80#2725C2214yescomplemented
81#2725C2214yescomplemented
82#2723C2214yes—
83#2722C2214yescomplemented
84#2722C2214yescomplemented
85#2721C2214yescomplemented
86#2721C2214yescomplemented
87#2721C2214yescomplemented
88#2720C2214yescomplemented
89#2720C2214yescomplemented
90#2719C2214yescomplemented
91#2716C2214yescomplemented
92#2713C2214yescomplemented
93#2704C2214yescomplemented
94#2704C2214yescomplemented
95#2704C2214yescomplemented
96#2704C2214yescomplemented
97#2690C2214yescomplemented
98#2690C2214yescomplemented
99#2690C2214yescomplemented
100#2689C2214yescomplemented
101#2677C2214yescomplemented
102#2666C2212yescomplemented
103#2666C2212yescomplemented
104#2666C2212yescomplemented
105#2666C2212yescomplemented
106#2664C2214yescomplemented
107#2659C2211yescharacteristic
108#2659C2211yescharacteristic
109#2659C2212yes—
110#2659C2214yescomplemented
111#2652C2214yescomplemented
112#2647C2212yescomplemented
113#2646C2212yes—
114#2646C2212yes—
115#2646C2212yes—
116#2646C2214yescomplemented
117#2645C2212yescomplemented
118#2644C2212yes—
119#2640C2212yes—
120#2637C2214yescomplemented
121#2629C2214yescomplemented
122#2629C2214yescomplemented
123#2628C2214yescomplemented
124#2627C2211yescharacteristic
125#2627C2212yes—
126#2627C2211yescharacteristic
127#2627C2212yes—
128#2601C2214yes—
129#2599C2214yescomplemented
130#2592C2212yes—
131#2590C2214yescomplemented
132#2588C2214yescomplemented
133#2584C2212yescomplemented
134#2582C2212yescomplemented
135#2577C2214yescomplemented
136#2567C2212yescomplemented
137#2565C2212yescomplemented
138#2563C2211yescharacteristic
139#2561C2214yes—
140#2560C2214yes—
141#2552C2212yescomplemented
142#2552C2212yescomplemented
143#2551C2212yescomplemented
144#2550C2212yescomplemented
145#2547C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yes—
148#2538C2211yescharacteristic
149#2514C2212yescomplemented
150#2512C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2511C2212yescomplemented
154#2511C2212yescomplemented
155#2507C2212yescomplemented
156#2507C2212yescomplemented
157#2507C2212yescomplemented
158#2506C2212yescomplemented
159#2506C2214yescomplemented
160#2506C2212yescomplemented
161#2502C2212yes—
162#2493C2214yes—
163#2493C2214yes—
164#2493C2214yescomplemented
165#2487C2212yes—
166#2485C2212yes—
167#2484C2214yescomplemented
168#2483C2214yes—
169#2480C2214yes—
170#2480C2214yes—
171#2480C2214yes—
172#2480C2214yes—
173#2478C2214yescomplemented
174#2475C2214yescomplemented
175#2473C2214yes—
176#2473C2214yes—
177#2473C2214yes—
178#2473C2214yes—
179#2473C2214yescomplemented
180#2466C2214yes—
181#2465C2214yescomplemented
182#2462C2214yescomplemented
183#2454C2212yes—
184#2454C2212yes—
185#2454C2212yes—
186#2454C2214yes—
187#2454C2212yes—
188#2454C2214yes—
189#2454C2212yes—
190#2453C2212yescomplemented
191#2453C2212yescomplemented
192#2453C2212yescomplemented
193#2452C2212yes—
194#2451C2212yescomplemented
195#2450C2214yes—
196#2448C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2446C2212yescomplemented
202#2446C2212yescomplemented
203#2442C2212yes—
204#2442C2214yes—
205#2442C2214yescomplemented
206#2440C2214yes—
207#2440C2212yes—
208#2440C2214yes—
209#2440C2214yescomplemented
210#2438C2214yescomplemented
211#2437C2214yes—
212#2437C2214yes—
213#2437C2214yes—
214#2435C2212yes—
215#2429C2214yescomplemented
216#2417C2212yes—
217#2415C2212yes—
218#2402C2212yescomplemented
219#2402C2212yescomplemented
220#2399C2212yescomplemented
221#2399C2212yescomplemented
222C2×#399C2212yes—
223C2×#396C2212yes—
224#2370C2212yescomplemented
225#2367C2212yes—
226#2367C2212yes—
227#2360C2214yes—
228#2360C2212yes—
229#2360C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2349C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234#2345C2212yes—
235#2342C2214yes—
236D4×C22⋊C4C2212yes—
237#2330C2212yescomplemented
238#2329C2212yes—
239#2329C2212yes—
240#2329C2212yes—
241#2326C2212yes—
242#2320C2212yescomplemented
243#2319C2212yes—
244#2313C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2211yescharacteristic
248C4×C22⋊Q8C2211yescharacteristic
249C2×#390C2211yescharacteristic
250C2×#390C2211yescharacteristic
251C2×#389C2211yescharacteristic
252C2×#389C2211yescharacteristic
253C2×#385C2212yes—
254#2283C2212yes—
255#2280C2212yes—
256C2×#380C2212yes—
257C2×#380C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C23×D4C2311yescharacteristic
260C24×C4C2312yes—
261#557—48no—
262#556—44no—
263#554—44no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2314yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2311yescharacteristic
268C2×C4⋊Q8C2314yes—
269C2×#126C2314yes—
270C2×#126C2314yes—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#125—44no—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#125C2312yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#125C2314yes—
281C2×#125C2314yes—
282C2×#125C2314yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×C4×Q8C2312yes—
299C2×C4×Q8C2312yes—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2312yes—
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2314yes—
305C2×C4×D4—44no—
306C2×C4×D4C2312yes—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2312yes—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×#117C2312yes—
315C2×#117C2314yes—
316C2×#117C2312yes—
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2312yes—
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2312yes—
324C22×C4⋊C4C2312yes—
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C22⋊C4C2314yes—
330C22×C22⋊C4C2312yes—
331C22×C22⋊C4C2312yes—
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2312yes—
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337#401C2314yes—
338#401C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2312yes—
344#400C2314yes—
345#400C2312yes—
346#400C2312yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2312yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2312yes—
360#400C2314yes—
361#400C2312yes—
362#400C2312yes—
363#400C2312yes—
364#400C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2312yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2312yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2312yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
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#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2312yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2312yes—
461#395C2312yes—
462#395C2312yes—
463#395C2312yes—
464#395C2312yes—
465#395C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
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#388C2314yes—
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#386C2314yes—
600#386C2314yes—
601#385C2314yes—
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#385C2312yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#385C2314yes—
622#385C2312yes—
623#385C2314yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#384C2312yes—
630#384C2314yes—
631#384C2312yes—
632#384C2311yescharacteristic
633#384C2311yescharacteristic
634#384C2312yes—
635#384C2314yes—
636#383C2314yes—
637#383C2314yes—
638#383C2312yes—
639#383C2312yes—
640#382C2312yes—
641#382C2314yes—
642#382C2312yes—
643#382C2312yes—
644#381C2312yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2312yes—
650#381C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2312yes—
660#380C2314yes—
661#380C2314yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2311yescharacteristic
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#379C2314yes—
680#379C2314yes—
681#379C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710#376C2312yes—
711#376C2312yes—
712C2×#95C2311yescharacteristic
713C2×#95C2312yes—
714C2×#95C2314yes—
715C2×#95C2311yescharacteristic
716C2×#95C2312yes—
717C25C2412yes—
718C22×Q8C2412yes—
719C22×Q8C2411yescharacteristic
720C22×Q8C2411yescharacteristic
721C22×Q8C2412yes—
722C22×Q8C2414yes—
723C22×Q8C2412yes—
724C22×D4—24no—
725C22×D4—24no—
726C22×D4—42no—
727C22×D4C2411yescharacteristic
728C22×D4C2412yes—
729C22×D4C2411yescharacteristic
730C23×C4—28no—
731C23×C4—44no—
732C23×C4—82no—
733C23×C4C2411yescharacteristic
734C23×C4C2412yes—
735C23×C4C2412yes—
736C23×C4C2412yes—
737C23×C4C2411yescharacteristic
738C23×C4C2412yes—
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2414yes—
748C23×C4C2411yescharacteristic
749C4⋊Q8—42no—
750C4⋊Q8—48no—
751C4⋊Q8—44no—
752C4⋊Q8—42no—
753C4⋊Q8—84no—
754#126—48no—
755#126—84no—
756#126—84no—
757#126—84no—
758#125—28no—
759#125—28no—
760#125—44no—
761#125—48no—
762#125—48no—
763#125—48no—
764#125—84no—
765#125—84no—
766#125—84no—
767#124—28no—
768#124—44no—
769C22⋊Q8—28no—
770C22⋊Q8—24no—
771C22⋊Q8—24no—
772C22⋊Q8—44no—
773C22⋊Q8—44no—
774C22⋊Q8—48no—
775C22⋊Q8—48no—
776C22⋊Q8—44no—
777C22⋊Q8—44no—
778C22⋊Q8—84no—
779C22⋊Q8—84no—
780C22⋊Q8—82no—
781C22⋊Q8—82no—
782C4×Q8—28no—
783C4×Q8—42no—
784C4×Q8—42no—
785C4×Q8—44no—
786C4×Q8—48no—
787C4×Q8—44no—
788C4×Q8—44no—
789C4×D4—28no—
790C4×D4—24no—
791C4×D4—24no—
792C4×D4—42no—
793C4×D4—42no—
794C4×D4—44no—
795C4×D4—44no—
796C4×D4—44no—
797#117—44no—
798#117—82no—
799#117—84no—
800C2×C4⋊C4—24no—
801C2×C4⋊C4—24no—
802C2×C4⋊C4—24no—
803C2×C4⋊C4—44no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—44no—
806C2×C4⋊C4—44no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—82no—
809C2×C4⋊C4—82no—
810C2×C4⋊C4—82no—
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C22⋊C4—44no—
891C2×C22⋊C4—48no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4—82no—
894C2×C22⋊C4—82no—
895C2×C22⋊C4—82no—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
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⋊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×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C42—24no—
929C2×C42—42no—
930C2×C42—42no—
931C2×C42C2414yes—
932C2×C42C2411yescharacteristic
933C2×C42C2411yescharacteristic
934C2×C42C2412yes—
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2412yes—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2411yescharacteristic
945C2×C42C2411yescharacteristic
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2412yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951#95C2412yes—
952#95C2412yes—
953#95C2412yes—
954#95C2412yes—
955#95C2412yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2412yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2412yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2412yes—
988#95C2414yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023C24—24no—
1024C24—24no—
1025C24—24no—
1026C24—24no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24C2512yes—
1031C24C2512yes—
1032C24C2511yescharacteristic
1033C2×Q8—24no—
1034C2×Q8—24no—
1035C2×Q8—24no—
1036C2×Q8—22no—
1037C2×Q8—22no—
1038C2×Q8—41no—
1039C2×Q8—41no—
1040C2×Q8—42no—
1041C2×Q8—44no—
1042C2×Q8—42no—
1043C2×Q8—44no—
1044C2×Q8—41no—
1045C2×Q8—41no—
1046C2×Q8—42no—
1047C2×Q8—44no—
1048C2×Q8—42no—
1049C2×Q8—42no—
1050C2×Q8—42no—
1051C2×D4—24no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—24no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—416no—
1059C2×D4—42no—
1060C2×D42−1+414yes—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—24no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—24no—
1069C22×C4—22no—
1070C22×C4—28no—
1071C22×C4—24no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—24no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—24no—
1080C22×C4—24no—
1081C22×C4—41no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—44no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—44no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—816no—
1108C22×C42−1+414yes—
1109C22×C42−1+414yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2512yes—
1115C22×C4C2514yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2514yes—
1120C22×C4C2512yes—
1121C22×C4C2514yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2511yescharacteristic
1126C22×C4C2514yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2514yes—
1130C22×C4C2511yescharacteristic
1131C22×C4C2512yes—
1132C22×C4C2511yescharacteristic
1133C22×C4C2511yescharacteristic
1134C22×C4C2511yescharacteristic
1135C22×C4C2511yescharacteristic
1136C4⋊C4—24no—
1137C4⋊C4—22no—
1138C4⋊C4—28no—
1139C4⋊C4—24no—
1140C4⋊C4—28no—
1141C4⋊C4—28no—
1142C4⋊C4—24no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—24no—
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—24no—
1149C4⋊C4—24no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—24no—
1153C4⋊C4—28no—
1154C4⋊C4—24no—
1155C4⋊C4—24no—
1156C4⋊C4—41no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—41no—
1164C4⋊C4—42no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—41no—
1171C4⋊C4—42no—
1172C4⋊C4—41no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4H(5,𝔽2)14yes—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—24no—
1222C22⋊C4—28no—
1223C22⋊C4—24no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
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—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C42—22no—
1248C42—22no—
1249C42—24no—
1250C42—28no—
1251C42—24no—
1252C42—24no—
1253C42—24no—
1254C42—24no—
1255C42—24no—
1256C42—24no—
1257C42—41no—
1258C42—41no—
1259C42—42no—
1260C42—44no—
1261C42—44no—
1262C42—44no—
1263C42—44no—
1264C42—44no—
1265C42—44no—
1266C42—44no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—48no—
1285C23—48no—
1286C23—48no—
1287C23—48no—
1288C23—84no—
1289C23—84no—
1290C23—84no—
1291C23C2×2−1+414yes—
1292C23C2×2−1+412yes—
1293C23C2×2−1+412yes—
1294C23#58512yes—
1295C23C2611yescharacteristic
1296Q8—48no—
1297Q8—82no—
1298Q8—82no—
1299Q8—84no—
1300Q8—88no—
1301Q8—162no—
1302D4—28no—
1303D4—48no—
1304D4—44no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—22no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—28no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—24no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—24no—
1342C2×C4—22no—
1343C2×C4—22no—
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—22no—
1356C2×C4—24no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—21no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—44no—
1378C2×C4—48no—
1379C2×C4—48no—
1380C2×C4—48no—
1381C2×C4—44no—
1382C2×C4—84no—
1383C2×C4—84no—
1384C2×C4—82no—
1385C2×C4—84no—
1386C2×C4—82no—
1387C2×C4—82no—
1388C2×C4—84no—
1389C2×C4—82no—
1390C2×C4—88no—
1391C2×C4—164no—
1392C2×C4C2×H(5,𝔽2)14yes—
1393C2×C4C2×H(5,𝔽2)12yes—
1394C2×C4C2×2−1+412yes—
1395C2×C4C2×2−1+412yes—
1396C2×C4C2×2−1+412yes—
1397C2×C4C2×2−1+412yes—
1398C2×C4C2×2−1+412yes—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—24no—
1406C22—24no—
1407C22—24no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—816no—
1420C22#355514yes—
1421C22C22×H(5,𝔽2)11yescharacteristic
1422C22C22×2−1+411yescharacteristic
1423C22C22×2−1+411yescharacteristic
1424C22C22×2−1+411yescharacteristic
1425C22C2×#58511yescharacteristic
1426C22H(7,𝔽2)11yescharacteristic
1427C22H(7,𝔽2)11yescharacteristic
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—24no—
1432C4—44no—
1433C4—42no—
1434C4—44no—
1435C4—42no—
1436C4—44no—
1437C4—42no—
1438C4—42no—
1439C4—42no—
1440C4—42no—
1441C4—41no—
1442C4—42no—
1443C4—44no—
1444C4—41no—
1445C4—42no—
1446C4—44no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—44no—
1452C4—42no—
1453C4#353814yes—
1454C2—24no—
1455C2—44no—
1456C2—82no—
1457C2C2×#353811yescharacteristic
1458C2C2×#355511yescharacteristic
1459C2#6288111yescharacteristic
1460C2#6289411yescharacteristic
1461C2#6289911yescharacteristic
1462C2#6294511yescharacteristic
1463C2#6294811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59154C2semidirect
3. #58289C2semidirect
4. #58055C2semidirect
5. #56676C2semidirect
6. #54091C2semidirect
7. #53035C2semidirect
8. #52994C2semidirect
9. #52567C2semidirect
10. #45424C2semidirect
11. #45381C2semidirect
12. #42884C2semidirect
13. #42721C2semidirect
14. #42638C2semidirect
15. #42494C2semidirect
16. #40735C2semidirect
17. #39639C2semidirect
18. #39623C2semidirect
19. #38066C2semidirect
21. #37956C2semidirect
22. #37880C2semidirect
23. #37477C2semidirect
24. #36728C2semidirect
27. #35015C2semidirect
29. #34595C2semidirect
30. C2×#557C22semidirect
40. #2841C22semidirect
41. #2841C22semidirect
42. #2841C22semidirect
43. #2838C22semidirect
44. #2838C22semidirect
45. #2836C22semidirect
46. #2836C22semidirect
47. #2836C22semidirect
48. #2834C22semidirect
49. #2831C22semidirect
50. #2821C22semidirect
51. #2821C22semidirect
52. #2809C22semidirect
53. #2806C22semidirect
54. #2802C22semidirect
55. #2792C22semidirect
56. #2788C22semidirect
57. #2787C22semidirect
58. #2787C22semidirect
60. #2776C22semidirect
61. #2771C22semidirect
62. #2770C22semidirect
63. #2769C22semidirect
64. #2766C22semidirect
67. #2747C22semidirect
68. #2747C22semidirect
69. #2747C22semidirect
70. #2745C22semidirect
71. #2744C22semidirect
73. #2739C22semidirect
74. #2738C22semidirect
75. #2738C22semidirect
77. #2734C22semidirect
78. #2726C22semidirect
79. #2726C22semidirect
80. #2725C22semidirect
81. #2725C22semidirect
83. #2722C22semidirect
84. #2722C22semidirect
85. #2721C22semidirect
86. #2721C22semidirect
87. #2721C22semidirect
88. #2720C22semidirect
89. #2720C22semidirect
90. #2719C22semidirect
91. #2716C22semidirect
92. #2713C22semidirect
93. #2704C22semidirect
94. #2704C22semidirect
95. #2704C22semidirect
96. #2704C22semidirect
97. #2690C22semidirect
98. #2690C22semidirect
99. #2690C22semidirect
100. #2689C22semidirect
101. #2677C22semidirect
102. #2666C22semidirect
103. #2666C22semidirect
104. #2666C22semidirect
105. #2666C22semidirect
106. #2664C22semidirect
110. #2659C22semidirect
111. #2652C22semidirect
112. #2647C22semidirect
116. #2646C22semidirect
117. #2645C22semidirect
120. #2637C22semidirect
121. #2629C22semidirect
122. #2629C22semidirect
123. #2628C22semidirect
129. #2599C22semidirect
131. #2590C22semidirect
132. #2588C22semidirect
133. #2584C22semidirect
134. #2582C22semidirect
135. #2577C22semidirect
136. #2567C22semidirect
137. #2565C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2551C22semidirect
144. #2550C22semidirect
149. #2514C22semidirect
153. #2511C22semidirect
154. #2511C22semidirect
155. #2507C22semidirect
156. #2507C22semidirect
157. #2507C22semidirect
158. #2506C22semidirect
159. #2506C22semidirect
160. #2506C22semidirect
164. #2493C22semidirect
167. #2484C22semidirect
173. #2478C22semidirect
174. #2475C22semidirect
179. #2473C22semidirect
181. #2465C22semidirect
182. #2462C22semidirect
190. #2453C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
194. #2451C22semidirect
201. #2446C22semidirect
202. #2446C22semidirect
205. #2442C22semidirect
209. #2440C22semidirect
210. #2438C22semidirect
215. #2429C22semidirect
218. #2402C22semidirect
219. #2402C22semidirect
220. #2399C22semidirect
221. #2399C22semidirect
224. #2370C22semidirect
237. #2330C22semidirect
242. #2320C22semidirect

Maximal subgroups

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

subgroupindex
#594242
#591542
#582892
#580552
#566762
#540912
#530352
#529942
#525672
#454242
#453812
#428842
#427212
#426382
#424942
#407352
#396392
#396232
#380662
#380542
#379562
#378802
#374772
#367282
#361612
#361542
#350152
C2×#24542
#345952