Finite Group Databasebeta

← #7710327

Subgroups — #7710327

Order 512.

5186 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59683C212yesmaximal, complemented
2#59460C212yesmaximal, complemented
3#59088C214yesmaximal, complemented
4#46014C211yesmaximal, characteristic, complemented
5#46013C211yesmaximal, characteristic, complemented
6#46006C211yesmaximal, characteristic, complemented
7#45997C211yesmaximal, characteristic, complemented
8#45991C212yesmaximal, complemented
9#45978C212yesmaximal, complemented
10#40434C214yesmaximal, complemented
11#40128C212yesmaximal, complemented
12#40057C212yesmaximal, complemented
13#40026C212yesmaximal, complemented
14#39977C212yesmaximal, complemented
15#38829C212yesmaximal, complemented
16#38770C212yesmaximal, complemented
17#38608C214yesmaximal, complemented
18#38487C212yesmaximal, complemented
19#38425C212yesmaximal, complemented
20#37599C212yesmaximal, complemented
21#37039C214yesmaximal, complemented
22#36639C211yesmaximal, characteristic, complemented
23#36631C211yesmaximal, characteristic, complemented
24#36606C212yesmaximal, complemented
25#36140C212yesmaximal, complemented
26#36139C212yesmaximal, complemented
27#36126C212yesmaximal, complemented
28#35238C212yesmaximal, complemented
29#35083C212yesmaximal, complemented
30#34527C212yesmaximal, complemented
31C2×C4×#125C211yesmaximal, characteristic, complemented
32C2×#562C2212yes—
33C2×#547C2214yes—
34C2×#533C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#532C2212yes—
37C2×#529C2212yes—
38C2×#529C2212yes—
39C22×#125C2211yescharacteristic
40#2862C2211yescharacteristic
41#2862C2211yescharacteristic
42#2861C2212yes—
43#2861C2212yes—
44#2861C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2858C2211yescharacteristic
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2856C2212yes—
54#2855C2212yes—
55#2854C2212yes—
56#2854C2212yes—
57#2854C2212yes—
58#2850C2212yes—
59#2850C2212yes—
60#2850C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2844C2212yes—
65#2820C2212yes—
66#2820C2212yes—
67#2819C2212yes—
68#2808C2212yes—
69#2808C2214yes—
70#2805C2212yes—
71#2803C2214yes—
72#2788C2214yes—
73#2786C2214yes—
74#2785C2214yes—
75#2782C2214yes—
76#2781C2214yes—
77#2774C2214yes—
78#2763C2214yes—
79#2763C2214yes—
80#2761C2214yes—
81#2753C2214yes—
82#2753C2214yes—
83#2743C2214yes—
84#2734C2212yes—
85#2732C2212yes—
86#2729C2214yes—
87#2727C2212yes—
88#2724C2212yes—
89#2715C2214yes—
90#2713C2214yes—
91#2711C2214yes—
92#2711C2214yes—
93#2707C2214yes—
94#2704C2214yes—
95#2704C2214yes—
96#2701C2214yes—
97#2700C2214yes—
98#2694C2214yes—
99#2694C2214yes—
100#2682C2212yes—
101#2682C2212yes—
102#2676C2214yes—
103#2676C2214yes—
104#2665C2214yes—
105#2663C2214yes—
106#2662C2214yes—
107#2662C2214yes—
108#2654C2214yes—
109#2650C2214yes—
110#2649C2214yes—
111#2648C2214yes—
112#2602C2214yes—
113#2595C2214yes—
114#2593C2214yes—
115#2591C2214yes—
116#2587C2214yes—
117#2587C2214yes—
118#2583C2214yes—
119#2574C2214yes—
120#2570C2212yes—
121#2567C2212yes—
122#2566C2212yes—
123#2566C2212yes—
124#2563C2212yes—
125#2560C2214yes—
126#2559C2214yes—
127#2553C2214yes—
128#2551C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2548C2212yes—
132#2545C2212yes—
133#2544C2212yes—
134#2544C2212yes—
135#2544C2212yes—
136#2544C2212yes—
137#2541C2212yes—
138#2541C2212yes—
139#2521C2214yes—
140#2519C2214yes—
141#2516C2214yes—
142#2513C2212yes—
143#2512C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2509C2212yes—
147#2508C2212yes—
148#2491C2214yes—
149#2488C2214yes—
150#2488C2214yes—
151#2481C2214yes—
152#2481C2214yes—
153#2476C2214yes—
154#2475C2214yes—
155#2474C2214yes—
156#2471C2214yes—
157#2469C2214yes—
158#2468C2214yes—
159#2467C2214yes—
160#2466C2214yes—
161#2465C2214yes—
162#2461C2214yes—
163#2461C2214yes—
164#2457C2214yes—
165#2454C2212yes—
166#2453C2212yes—
167#2452C2212yes—
168#2452C2212yes—
169#2452C2212yes—
170#2452C2212yes—
171#2451C2212yes—
172#2451C2212yes—
173#2449C2214yes—
174#2449C2214yes—
175#2448C2212yes—
176#2448C2212yes—
177#2448C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2446C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2444C2214yes—
186#2444C2214yes—
187#2443C2214yes—
188#2443C2214yes—
189#2439C2214yes—
190#2438C2214yes—
191#2430C2214yes—
192#2430C2214yes—
193#2430C2214yes—
194#2430C2214yes—
195#2425C2214yes—
196#2419C2214yes—
197#2416C2214yes—
198#2416C2214yes—
199#2416C2214yes—
200#2413C2214yes—
201#2406C2214yes—
202#2382C2212yes—
203#2379C2212yes—
204#2379C2212yes—
205#2374C2214yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2366C2212yes—
210#2364C2214yes—
211#2364C2214yes—
212#2362C2214yes—
213#2361C2214yes—
214#2360C2214yes—
215#2359C2214yes—
216#2359C2214yes—
217#2357C2212yes—
218#2351C2212yes—
219#2349C2212yes—
220D4×C4⋊C4C2212yes—
221#2339C2214yes—
222#2335C2214yes—
223#2334C2214yes—
224#2333C2214yes—
225#2332C2214yes—
226#2329C2214yes—
227#2324C2214yes—
228#2324C2214yes—
229#2322C2214yes—
230C4×C4⋊Q8C2211yescharacteristic
231C4×#127C2211yescharacteristic
232C4×#125C2212yes—
233C4×#125C2212yes—
234C4×#125C2211yescharacteristic
235C4×#125C2211yescharacteristic
236C4×#125C2211yescharacteristic
237C4×#125C2211yescharacteristic
238C4×#125C2212yes—
239C4×#125C2211yescharacteristic
240C4×#125C2211yescharacteristic
241C4×#125C2211yescharacteristic
242C4×#125C2211yescharacteristic
243C4×#125C2212yes—
244C4×#124C2212yes—
245C4×#124C2212yes—
246C4×#124C2212yes—
247C4×#124C2212yes—
248C4×#124C2212yes—
249C4×C22⋊Q8C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253#2297C2212yes—
254#2297C2212yes—
255#2293C2212yes—
256#2293C2212yes—
257C2×#389C2211yescharacteristic
258C2×#389C2211yescharacteristic
259C2×#387C2212yes—
260C2×#387C2212yes—
261C2×#382C2211yescharacteristic
262C2×C4×C4⋊C4C2212yes—
263C2×C4×C4⋊C4C2212yes—
264C2×C4×C4⋊C4C2211yescharacteristic
265C2×C4×C4⋊C4C2211yescharacteristic
266C2×C43C2211yescharacteristic
267C22×#41C2312yes—
268C22×#41C2314yes—
269#562—216no—
270#547—416no—
271#533—44no—
272#532—48no—
273#532—44no—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2314yes—
280C2×#127C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284#529—48no—
285#529—48no—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125—28no—
290C2×#125C2311yescharacteristic
291C2×#125C2311yescharacteristic
292C2×#125C2311yescharacteristic
293C2×#125C2312yes—
294C2×#125C2312yes—
295C2×#125C2312yes—
296C2×#125C2312yes—
297C2×#125C2312yes—
298C2×#125C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×#117C2314yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2314yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374C22×C42C2311yescharacteristic
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2312yes—
461#391C2314yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2312yes—
656#382C2311yescharacteristic
657#382C2311yescharacteristic
658#382C2312yes—
659#382C2312yes—
660#382C2311yescharacteristic
661#382C2311yescharacteristic
662#382C2312yes—
663#382C2312yes—
664#382C2312yes—
665#382C2312yes—
666#382C2312yes—
667#382C2314yes—
668#382C2314yes—
669#382C2312yes—
670#381C2314yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C2×#95C2314yes—
728C2×#95C2312yes—
729C2×#95C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C43C2311yescharacteristic
735C43C2311yescharacteristic
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C43C2311yescharacteristic
742C2×#41—28no—
743C2×#41—44no—
744C2×#41—48no—
745C2×#41—48no—
746C2×#41—44no—
747C2×#41—48no—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C23×C4C2411yescharacteristic
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C4⋊Q8—42no—
783C4⋊Q8—44no—
784C4⋊Q8—42no—
785C4⋊Q8—42no—
786C4⋊Q8—42no—
787C4⋊Q8—48no—
788#127—44no—
789#127—42no—
790#127—44no—
791#127—42no—
792#126—48no—
793#126—48no—
794#126—48no—
795#125—28no—
796#125—28no—
797#125—24no—
798#125—24no—
799#125—24no—
800#125—44no—
801#125—44no—
802#125—44no—
803#125#4118yescomplemented
804#124—28no—
805#124—28no—
806#124—28no—
807#124—44no—
808#124—44no—
809#124—44no—
810#124—48no—
811#124—44no—
812#124—44no—
813#124—44no—
814#123—216no—
815#123—216no—
816#123—216no—
817#123—48no—
818#123—48no—
819#123—48no—
820#123—48no—
821C22⋊Q8—28no—
822C22⋊Q8—216no—
823C22⋊Q8—216no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828#121—28no—
829#121—28no—
830#121—216no—
831#121—216no—
832#121—48no—
833#121—48no—
834#121—44no—
835#121—48no—
836#121—44no—
837#121—48no—
838#121—44no—
839#121—48no—
840C4×Q8—44no—
841C4×Q8—44no—
842C4×Q8—44no—
843C4×Q8—44no—
844C4×Q8—44no—
845C4×D4—28no—
846C4×D4—44no—
847C4×D4—48no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—48no—
856C4×D4—48no—
857C4×D4—48no—
858C4×D4—48no—
859#117—48no—
860#117—48no—
861#117—44no—
862C2×C4⋊C4—28no—
863C2×C4⋊C4—28no—
864C2×C4⋊C4—28no—
865C2×C4⋊C4—24no—
866C2×C4⋊C4—24no—
867C2×C4⋊C4—44no—
868C2×C4⋊C4—48no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—42no—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C42—24no—
975C2×C42—28no—
976C2×C42—24no—
977C2×C42—24no—
978C2×C42—24no—
979C2×C42—42no—
980C2×C42—44no—
981C2×C42—42no—
982C2×C42—42no—
983C2×C42C2411yescharacteristic
984C2×C42C2412yes—
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081C24C2514yes—
1082C24C2514yes—
1083C24C2511yescharacteristic
1084#41—816no—
1085#41—832no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—44no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—44no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—24no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—28no—
1161C22×C4—28no—
1162C22×C4—28no—
1163C22×C4—28no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—42no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4H(5,𝔽2)14yes—
1187C22×C4H(5,𝔽2)14yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—41no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—42no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4C2×#4118yes—
1274C4⋊C4C2×#4118yes—
1275C4⋊C4C2×#4114yes—
1276C4⋊C4C2×#4114yes—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—24no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—24no—
1328C42—24no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—41no—
1344C42—41no—
1345C42—42no—
1346C42—41no—
1347C42—42no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42C2×#4114yes—
1360C422−1+414yes—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—24no—
1366C23—24no—
1367C23—24no—
1368C23—24no—
1369C23—24no—
1370C23—24no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23C2×H(5,𝔽2)12yes—
1380C23C2×H(5,𝔽2)12yes—
1381C23#58512yes—
1382C23C2611yescharacteristic
1383Q8—48no—
1384Q8—84no—
1385Q8—84no—
1386Q8—84no—
1387Q8—88no—
1388D4—416no—
1389D4—416no—
1390D4—48no—
1391D4—48no—
1392D4—88no—
1393D4—88no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—88no—
1399D4—164no—
1400C2×C4—28no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—28no—
1424C2×C4—28no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—48no—
1474C2×C4—48no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—48no—
1480C2×C4—88no—
1481C2×C4—88no—
1482C2×C4—88no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4—88no—
1487C2×C4C22×#4112yes—
1488C2×C4C22×#4112yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4114yes—
1491C2×C4C22×#4114yes—
1492C2×C4C2×H(5,𝔽2)12yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C2×C4C2×H(5,𝔽2)12yes—
1495C2×C4C2×H(5,𝔽2)12yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4#58512yes—
1500C2×C4#58512yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—44no—
1508C22—44no—
1509C22—44no—
1510C22—44no—
1511C22—44no—
1512C22—44no—
1513C22—44no—
1514C22—44no—
1515C22—44no—
1516C22—44no—
1517C22—44no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22#355814yes—
1522C22C23×#4111yescharacteristic
1523C22C22×H(5,𝔽2)11yescharacteristic
1524C22C22×H(5,𝔽2)11yescharacteristic
1525C22C22×2−1+411yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22C2×#58511yescharacteristic
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—24no—
1535C4—24no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—42no—
1541C4—42no—
1542C4—44no—
1543C4—44no—
1544C4—44no—
1545C4—41no—
1546C4—41no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—44no—
1551C4—41no—
1552C4—42no—
1553C4—42no—
1554C4—41no—
1555C4—44no—
1556C4#355914yes—
1557C2—24no—
1558C2—84no—
1559C2—84no—
1560C2C2×#355811yescharacteristic
1561C2C2×#355911yescharacteristic
1562C2#6278811yescharacteristic
1563C2#6280011yescharacteristic
1564C2#6280011yescharacteristic
1565C2#6282811yescharacteristic
1566C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59683C2semidirect
2. #59460C2semidirect
3. #59088C2semidirect
4. #46014C2semidirect
5. #46013C2semidirect
6. #46006C2semidirect
7. #45997C2semidirect
8. #45991C2semidirect
9. #45978C2semidirect
10. #40434C2semidirect
11. #40128C2semidirect
12. #40057C2semidirect
13. #40026C2semidirect
14. #39977C2semidirect
15. #38829C2semidirect
16. #38770C2semidirect
17. #38608C2semidirect
18. #38487C2semidirect
19. #38425C2semidirect
20. #37599C2semidirect
21. #37039C2semidirect
22. #36639C2semidirect
23. #36631C2semidirect
24. #36606C2semidirect
25. #36140C2semidirect
26. #36139C2semidirect
27. #36126C2semidirect
28. #35238C2semidirect
29. #35083C2semidirect
30. #34527C2semidirect
31. C2×C4×#125C2semidirect
803. #125#41semidirect

Maximal subgroups

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

subgroupindex
#596832
#594602
#590882
#460142
#460132
#460062
#459972
#459912
#459782
#404342
#401282
#400572
#400262
#399772
#388292
#387702
#386082
#384872
#384252
#375992
#370392
#366392
#366312
#366062
#361402
#361392
#361262
#352382
#350832
#345272
C2×C4×#1252