Finite Group Databasebeta

← #7647154

Subgroups — #7647154

Order 512.

4147 conjugacy classes of subgroups.

The subgroup lattice has 1555 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42863C212yesmaximal, complemented
2#42827C212yesmaximal, complemented
3#42777C212yesmaximal, complemented
4#42748C212yesmaximal, complemented
5#41908C214yesmaximal, complemented
6#41855C214yesmaximal, complemented
7#39809C212yesmaximal, complemented
8#39769C211yesmaximal, characteristic, complemented
9#39744C211yesmaximal, characteristic, complemented
10#39727C211yesmaximal, characteristic
11#39724C211yesmaximal, characteristic, complemented
12#39283C212yesmaximal, complemented
13#39183C211yesmaximal, characteristic, complemented
14#39146C211yesmaximal, characteristic
15#38977C211yesmaximal, characteristic, complemented
16#38943C211yesmaximal, characteristic, complemented
17#38289C212yesmaximal
18#38229C212yesmaximal, complemented
19#37630C212yesmaximal, complemented
20#37594C212yesmaximal
21#37178C214yesmaximal, complemented
22#37170C214yesmaximal, complemented
23#35653C212yesmaximal, complemented
24#35641C212yesmaximal, complemented
25#35284C211yesmaximal, characteristic, complemented
26#35204C212yesmaximal, complemented
27#35204C212yesmaximal, complemented
28#35188C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35183C212yesmaximal, complemented
31#34951C211yesmaximal, characteristic, complemented
32#34915C211yesmaximal, characteristic
33#34322C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35#34085C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2866C2214yes—
41#2865C2214yes—
42#2865C2214yes—
43#2864C2214yes—
44#2863C2212yes—
45#2861C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2839C2214yes—
50#2839C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2807C2214yes—
54#2802C2214yes—
55#2802C2214yes—
56#2798C2214yes—
57#2795C2214yes—
58#2794C2214yes—
59#2794C2214yes—
60#2791C2214yes—
61#2783C2214yes—
62#2781C2214yes—
63#2777C2214yes—
64#2773C2214yes—
65#2772C2214yes—
66#2771C2214yes—
67#2770C2214yes—
68#2769C2214yes—
69#2769C2214yes—
70#2767C2214yes—
71#2767C2214yes—
72#2766C2214yes—
73#2765C2214yes—
74#2762C2214yes—
75#2746C2214yes—
76#2744C2214yes—
77#2744C2214yes—
78#2739C2214yes—
79#2725C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2719C2214yes—
83#2702C2214yes—
84#2690C2214yes—
85#2667C2214yes—
86#2658C2212yes—
87#2655C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2654C2214yes—
91#2654C2214yes—
92#2654C2214yes—
93#2654C2214yes—
94#2651C2214yes—
95#2650C2214yes—
96#2649C2214yes—
97#2647C2212yes—
98#2647C2214yes—
99#2647C2212yes—
100#2645C2212yes—
101#2645C2212yes—
102#2645C2214yes—
103#2642C2212yes—
104#2642C2212yes—
105#2629C2212yes—
106#2621C2212yes—
107#2620C2212yes—
108#2597C2212yes—
109#2596C2212yes—
110#2596C2214yes—
111#2596C2214yes—
112#2596C2214yes—
113#2596C2214yes—
114#2595C2212yes—
115#2594C2212yes—
116#2594C2214yes—
117#2593C2214yes—
118#2592C2212yes—
119#2590C2214yes—
120#2590C2214yes—
121#2589C2214yes—
122#2585C2214yes—
123#2585C2214yes—
124#2585C2214yes—
125#2582C2211yescharacteristic
126#2582C2212yes—
127#2581C2212yes—
128#2577C2214yes—
129#2575C2214yes—
130#2575C2214yes—
131#2574C2214yes—
132#2573C2214yes—
133#2571C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2568C2211yescharacteristic
138#2568C2212yes—
139#2568C2211yescharacteristic
140#2565C2212yes—
141#2562C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2552C2212yes—
146#2550C2212yes—
147#2547C2211yescharacteristic
148#2546C2211yescharacteristic
149#2546C2212yes—
150#2545C2212yes—
151#2538C2211yescharacteristic
152#2536C2212yes—
153#2533C2214yes—
154#2529C2214yes—
155#2529C2214yes—
156#2528C2214yes—
157#2528C2214yes—
158#2526C2214yes—
159#2525C2214yes—
160#2522C2214yes—
161#2520C2214yes—
162#2516C2214yes—
163#2513C2211yescharacteristic
164#2511C2212yes—
165#2511C2214yes—
166#2511C2212yes—
167#2511C2212yes—
168#2509C2212yes—
169#2509C2214yes—
170#2509C2212yes—
171#2509C2211yescharacteristic
172#2508C2212yes—
173#2508C2212yes—
174#2507C2212yes—
175#2507C2212yes—
176#2503C2212yes—
177#2497C2212yes—
178#2497C2214yes—
179#2497C2212yes—
180#2497C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2494C2212yes—
184#2494C2211yescharacteristic
185#2494C2212yes—
186#2490C2211yescharacteristic
187#2489C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2487C2212yes—
191#2453C2212yes—
192#2453C2212yes—
193#2453C2211yescharacteristic
194#2453C2212yes—
195#2448C2211yescharacteristic
196#2448C2212yes—
197#2447C2212yes—
198#2446C2212yes—
199#2446C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2441C2212yes—
207#2441C2212yes—
208#2439C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2427C2212yes—
214#2426C2211yescharacteristic
215#2423C2212yes—
216#2423C2212yes—
217#2423C2212yes—
218#2423C2212yes—
219#2421C2212yes—
220#2421C2211yescharacteristic
221#2415C2212yes—
222#2402C2214yes—
223#2401C2212yes—
224#2395C2212yes—
225#2373C2214yes—
226#2370C2212yes—
227#2370C2214yes—
228#2367C2212yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2360C2212yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2351C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240#2346C2212yes—
241#2336C2212yes—
242#2336C2212yes—
243#2334C2214yes—
244#2332C2212yes—
245#2332C2212yes—
246#2331C2211yescharacteristic
247#2331C2211yescharacteristic
248#2330C2212yes—
249#2330C2212yes—
250#2327C2211yescharacteristic
251#2327C2211yescharacteristic
252#2327C2212yes—
253#2327C2212yes—
254#2326C2212yes—
255#2323C2212yes—
256#2323C2211yescharacteristic
257#2323C2211yescharacteristic
258#2323C2211yescharacteristic
259#2323C2211yescharacteristic
260#2323C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2320C2212yes—
264#2319C2212yes—
265#2314C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2212yes—
270C4×C4⋊Q8C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2214yes—
273C4×#125C2212yes—
274C4×#125C2212yes—
275C4×#124C2212yes—
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2212yes—
280#2298C2212yes—
281#2298C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2283C2211yescharacteristic
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×Q8C2212yes—
298C4×#117C2211yescharacteristic
299#557—28no—
300#556—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C42C2311yescharacteristic
358#401C2314yes—
359#401C2312yes—
360#401C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#393C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2311yescharacteristic
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#386C2312yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#383C2314yes—
702#383C2312yes—
703#383C2314yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2314yes—
717#382C2314yes—
718#382C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2314yes—
806#376C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2314yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2414yes—
826C4⋊Q8—24no—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—28no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834#126—216no—
835#125—28no—
836#125—28no—
837#125—216no—
838#125—44no—
839#125—44no—
840#125—44no—
841#125—42no—
842#124—28no—
843#124—44no—
844#124—42no—
845C22⋊Q8—24no—
846C22⋊Q8—28no—
847C22⋊Q8—24no—
848C22⋊Q8—28no—
849C22⋊Q8—44no—
850C22⋊Q8—42no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853#121—42no—
854C4×Q8—28no—
855C4×Q8—28no—
856C4×Q8—24no—
857C4×Q8—28no—
858C4×Q8—24no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—42no—
863C4×Q8—42no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8#4118yes—
872C4×D4—24no—
873C4×D4—44no—
874C4×D4—44no—
875#117—28no—
876#117—28no—
877#117—24no—
878#117—28no—
879#117—42no—
880C2×C4⋊C4—44no—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C42—24no—
996C2×C42C2411yescharacteristic
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132C24C2512yes—
1133C24C2511yescharacteristic
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8C2×#4114yes—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4C2511yescharacteristic
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2514yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4C2×#4114yes—
1287C4⋊C4C2×#4118yes—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—24no—
1324C42—28no—
1325C42—28no—
1326C42—24no—
1327C42—22no—
1328C42—24no—
1329C42—24no—
1330C42—24no—
1331C42—22no—
1332C42—22no—
1333C42—24no—
1334C42—24no—
1335C42—22no—
1336C42—22no—
1337C42—24no—
1338C42—22no—
1339C42—22no—
1340C42—42no—
1341C42—41no—
1342C42—41no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C42—44no—
1347C42—41no—
1348C42—41no—
1349C42—42no—
1350C42—42no—
1351C42—44no—
1352C42—42no—
1353C42—44no—
1354C42—44no—
1355C42—42no—
1356C42—44no—
1357C42—42no—
1358C42—44no—
1359C42—42no—
1360C42—44no—
1361C42C2×#4114yes—
1362C42C2×#4118yes—
1363C422−1+414yes—
1364C23—22no—
1365C23—21no—
1366C23—22no—
1367C23—21no—
1368C23—21no—
1369C23—22no—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—22no—
1374C23—21no—
1375C23—22no—
1376C23—22no—
1377C23—21no—
1378C23C2611yescharacteristic
1379Q8—28no—
1380Q8—44no—
1381Q8—48no—
1382Q8—44no—
1383Q8—48no—
1384Q8—84no—
1385D4—44no—
1386D4—84no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—44no—
1476C2×C4—48no—
1477C2×C4—44no—
1478C2×C4—82no—
1479C2×C4—164no—
1480C2×C4C22×#4114yes—
1481C2×C4C22×#4114yes—
1482C2×C4C22×#4112yes—
1483C2×C4C22×#4112yes—
1484C2×C4C22×#4112yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4#58512yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C22—41no—
1492C22—42no—
1493C22—41no—
1494C22—42no—
1495C22—42no—
1496C22—41no—
1497C22—41no—
1498C22—42no—
1499C22—41no—
1500C22—42no—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—41no—
1505C22C23×#4111yescharacteristic
1506C22C22×2−1+411yescharacteristic
1507C22C2×#58511yescharacteristic
1508C22C2×#58511yescharacteristic
1509C22C2×#58511yescharacteristic
1510C222−1+611yescharacteristic
1511C222−1+611yescharacteristic
1512C4—22no—
1513C4—24no—
1514C4—24no—
1515C4—22no—
1516C4—22no—
1517C4—41no—
1518C4—44no—
1519C4—42no—
1520C4—44no—
1521C4—42no—
1522C4—41no—
1523C4—42no—
1524C4—42no—
1525C4—41no—
1526C4—42no—
1527C4—41no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—44no—
1537C4—42no—
1538C4—42no—
1539C4—41no—
1540C4—41no—
1541C4—44no—
1542C4—42no—
1543C4#346114yes—
1544C4#352414yes—
1545C2—81no—
1546C2—82no—
1547C2C2×#346111yescharacteristic
1548C2C2×#352411yescharacteristic
1549C2#6286111yescharacteristic
1550C2#6295611yescharacteristic
1551C2#6295611yescharacteristic
1552C2#6296711yescharacteristic
1553C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42863C2semidirect
2. #42827C2semidirect
3. #42777C2semidirect
4. #42748C2semidirect
5. #41908C2semidirect
6. #41855C2semidirect
7. #39809C2semidirect
8. #39769C2semidirect
9. #39744C2semidirect
11. #39724C2semidirect
12. #39283C2semidirect
13. #39183C2semidirect
15. #38977C2semidirect
16. #38943C2semidirect
18. #38229C2semidirect
19. #37630C2semidirect
21. #37178C2semidirect
22. #37170C2semidirect
23. #35653C2semidirect
24. #35641C2semidirect
25. #35284C2semidirect
26. #35204C2semidirect
27. #35204C2semidirect
28. #35188C2semidirect
29. #35184C2semidirect
30. #35183C2semidirect
31. #34951C2semidirect
33. #34322C2semidirect
34. C4×#557C2semidirect
35. #34085C2semidirect

Maximal subgroups

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

subgroupindex
#428632
#428272
#427772
#427482
#419082
#418552
#398092
#397692
#397442
#397272
#397242
#392832
#391832
#391462
#389772
#389432
#382892
#382292
#376302
#375942
#371782
#371702
#356532
#356412
#352842
#352042
#351882
#351842
#351832
#349512
#349152
#343222
C4×#5572
#340852