Finite Group Databasebeta

← #8467089

Subgroups — #8467089

Order 512.

4011 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59445C211yesmaximal, characteristic, complemented
2#59435C211yesmaximal, characteristic, complemented
3#59426C211yesmaximal, characteristic, complemented
4#58379C214yesmaximal, complemented
5#55376C214yesmaximal, complemented
6#54515C214yesmaximal, complemented
7#53123C212yesmaximal, complemented
8#53083C212yesmaximal, complemented
9#50140C214yesmaximal, complemented
10#45662C212yesmaximal, complemented
11#45513C212yesmaximal, complemented
12#45218C212yesmaximal, complemented
13#45193C212yesmaximal, complemented
14#42779C212yesmaximal, complemented
15#42762C212yesmaximal, complemented
16#42748C212yesmaximal, complemented
17#42748C212yesmaximal, complemented
18#39986C212yesmaximal, complemented
19#39626C211yesmaximal, characteristic, complemented
20#39194C211yesmaximal, characteristic
21#39192C211yesmaximal, characteristic, complemented
22#39183C211yesmaximal, characteristic, complemented
23#39157C212yesmaximal, complemented
24#38074C212yesmaximal, complemented
25#37986C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37326C212yesmaximal, complemented
28#37295C212yesmaximal, complemented
29#36574C211yesmaximal, characteristic, complemented
30#36407C211yesmaximal, characteristic, complemented
31#36174C211yesmaximal, characteristic
32#35207C211yesmaximal, characteristic
33#35177C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36#2859C2211yescharacteristic
37#2859C2211yescharacteristic
38#2859C2211yescharacteristic
39#2857C2212yes—
40#2857C2212yes—
41#2855C2212yes—
42#2854C2212yes—
43#2851C2212yes—
44#2850C2212yes—
45#2836C2214yes—
46#2836C2214yes—
47#2831C2214yes—
48#2831C2214yes—
49#2830C2214yes—
50#2827C2214yes—
51#2823C2214yes—
52#2814C2214yes—
53#2807C2214yes—
54#2806C2214yes—
55#2802C2214yes—
56#2801C2214yes—
57#2800C2214yes—
58#2798C2214yes—
59#2798C2214yes—
60#2793C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2790C2214yes—
64#2786C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2777C2214yes—
68#2777C2214yes—
69#2776C2214yes—
70#2775C2214yes—
71#2774C2214yes—
72#2772C2214yes—
73#2769C2214yes—
74#2768C2214yes—
75#2766C2214yes—
76#2766C2214yes—
77#2765C2214yes—
78#2765C2214yes—
79#2762C2214yes—
80#2762C2214yes—
81#2762C2214yes—
82#2759C2214yes—
83#2759C2214yes—
84#2755C2214yes—
85#2751C2214yes—
86#2750C2214yes—
87#2747C2214yes—
88#2740C2214yes—
89#2728C2214yes—
90#2727C2214yes—
91#2725C2214yes—
92#2723C2214yes—
93#2723C2214yes—
94#2722C2214yes—
95#2720C2214yes—
96#2707C2214yes—
97#2698C2214yes—
98#2689C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2687C2214yes—
102#2666C2214yes—
103#2665C2214yes—
104#2660C2212yes—
105#2653C2214yes—
106#2650C2214yes—
107#2650C2214yes—
108#2647C2212yes—
109#2647C2212yes—
110#2645C2214yes—
111#2645C2214yes—
112#2644C2212yes—
113#2637C2214yes—
114#2629C2212yes—
115#2625C2212yes—
116#2625C2212yes—
117#2624C2212yes—
118#2606C2214yes—
119#2604C2214yes—
120#2594C2214yes—
121#2592C2212yes—
122#2589C2212yes—
123#2587C2212yes—
124#2584C2212yes—
125#2584C2211yescharacteristic
126#2584C2212yes—
127#2582C2212yes—
128#2581C2212yes—
129#2580C2211yescharacteristic
130#2574C2214yes—
131#2573C2214yes—
132#2573C2212yes—
133#2573C2212yes—
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2570C2214yes—
138#2570C2212yes—
139#2568C2211yescharacteristic
140#2567C2211yescharacteristic
141#2567C2212yes—
142#2567C2211yescharacteristic
143#2566C2211yescharacteristic
144#2565C2212yes—
145#2563C2211yescharacteristic
146#2563C2211yescharacteristic
147#2556C2214yes—
148#2552C2211yescharacteristic
149#2552C2212yes—
150#2552C2212yes—
151#2552C2211yescharacteristic
152#2552C2212yes—
153#2552C2212yes—
154#2551C2211yescharacteristic
155#2550C2211yescharacteristic
156#2550C2212yes—
157#2547C2211yescharacteristic
158#2538C2211yescharacteristic
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2537C2211yescharacteristic
162#2532C2214yes—
163#2529C2214yes—
164#2528C2214yes—
165#2528C2214yes—
166#2526C2214yes—
167#2522C2212yes—
168#2518C2214yes—
169#2515C2214yes—
170#2514C2212yes—
171#2514C2211yescharacteristic
172#2514C2211yescharacteristic
173#2513C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2512C2214yes—
177#2512C2212yes—
178#2512C2212yes—
179#2511C2212yes—
180#2509C2212yes—
181#2509C2212yes—
182#2509C2212yes—
183#2509C2211yescharacteristic
184#2509C2212yes—
185#2509C2212yes—
186#2508C2212yes—
187#2508C2212yes—
188#2508C2212yes—
189#2508C2212yes—
190#2507C2212yes—
191#2507C2211yescharacteristic
192#2507C2212yes—
193#2506C2212yes—
194#2500C2212yes—
195#2497C2212yes—
196#2496C2212yes—
197#2496C2212yes—
198#2496C2212yes—
199#2496C2212yes—
200#2496C2214yes—
201#2495C2212yes—
202#2495C2212yes—
203#2494C2212yes—
204#2494C2212yes—
205#2494C2212yes—
206#2494C2212yes—
207#2494C2212yes—
208#2494C2212yes—
209#2492C2212yes—
210#2490C2212yes—
211#2490C2212yes—
212#2490C2212yes—
213#2489C2212yes—
214#2489C2214yes—
215#2489C2212yes—
216#2469C2214yes—
217#2465C2212yes—
218#2465C2214yes—
219#2462C2214yes—
220#2458C2214yes—
221#2454C2212yes—
222#2454C2211yescharacteristic
223#2453C2212yes—
224#2453C2212yes—
225#2453C2212yes—
226#2452C2212yes—
227#2452C2211yescharacteristic
228#2452C2212yes—
229#2451C2212yes—
230#2448C2212yes—
231#2447C2211yescharacteristic
232#2447C2211yescharacteristic
233#2446C2212yes—
234#2441C2212yes—
235#2441C2212yes—
236#2441C2212yes—
237#2439C2212yes—
238#2439C2212yes—
239#2429C2212yes—
240#2426C2212yes—
241#2422C2212yes—
242#2421C2212yes—
243#2420C2212yes—
244#2401C2212yes—
245#2401C2212yes—
246#2396C2212yes—
247#2396C2212yes—
248#2376C2214yes—
249#2370C2212yes—
250#2370C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2369C2212yes—
254#2363C2212yes—
255#2356C2212yes—
256#2355C2212yes—
257#2355C2211yescharacteristic
258#2355C2212yes—
259#2355C2211yescharacteristic
260#2354C2211yescharacteristic
261#2354C2211yescharacteristic
262#2351C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264Q8×C4⋊C4C2211yescharacteristic
265#2347C2212yes—
266#2346C2212yes—
267#2346C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2330C2212yes—
271#2330C2214yes—
272#2324C2212yes—
273#2323C2212yes—
274#2323C2212yes—
275#2319C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288#2296C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2283C2212yes—
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2311yescharacteristic
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C22×C42C2312yes—
349C22×C42C2312yes—
350#401C2312yes—
351#401C2314yes—
352#401C2314yes—
353#401C2314yes—
354#401C2312yes—
355#400C2312yes—
356#400C2312yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2312yes—
362#400C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#399C2314yes—
384#399C2312yes—
385#399C2314yes—
386#399C2314yes—
387#399C2312yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
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#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2312yes—
474#393C2312yes—
475#393C2314yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2314yes—
494#391C2311yescharacteristic
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2314yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2314yes—
516#390C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#383C2314yes—
703#383C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2314yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2314yes—
724#382C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2414yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C4⋊Q8—24no—
826C4⋊Q8—24no—
827C4⋊Q8—44no—
828C4⋊Q8—44no—
829C4⋊Q8—42no—
830#126—84no—
831#126—84no—
832#126—84no—
833#126—84no—
834#125—24no—
835#125—44no—
836#125—44no—
837#125—42no—
838#125—44no—
839#125—44no—
840#125—48no—
841#125—82no—
842#124—42no—
843#124—42no—
844#123—48no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849C22⋊Q8—84no—
850C22⋊Q8—84no—
851#121—44no—
852#121—44no—
853C4×Q8—24no—
854C4×Q8—24no—
855C4×Q8—42no—
856C4×Q8—44no—
857C4×Q8—42no—
858C4×Q8—44no—
859C4×Q8—44no—
860C4×Q8—44no—
861C4×Q8—42no—
862C4×Q8—82no—
863C4×Q8—82no—
864C4×D4—24no—
865C4×D4—24no—
866C4×D4—24no—
867C4×D4—42no—
868C4×D4—42no—
869C4×D4—42no—
870#117—28no—
871#117—44no—
872#117—44no—
873#117—44no—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C42—44no—
997C2×C42—44no—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124C24C2512yes—
1125C24C2512yes—
1126C2×Q8—22no—
1127C2×Q8—22no—
1128C2×Q8—24no—
1129C2×Q8—24no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—42no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2511yescharacteristic
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2514yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2514yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C4⋊C4—24no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—22no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—42no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C42−1+414yes—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
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—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C42—28no—
1327C42—22no—
1328C42—24no—
1329C42—24no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—24no—
1335C42—24no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—42no—
1347C42—42no—
1348C42—42no—
1349C42—42no—
1350C42—44no—
1351C42—41no—
1352C42—41no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—41no—
1357C42—41no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—41no—
1362C42—44no—
1363C422−1+414yes—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23C2611yescharacteristic
1379Q8—44no—
1380Q8—48no—
1381Q8—44no—
1382Q8—44no—
1383Q8—84no—
1384Q8—164no—
1385D4—44no—
1386D4—44no—
1387D4—164no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—22no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—24no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—48no—
1479C2×C4—48no—
1480C2×C4—84no—
1481C2×C4—84no—
1482C2×C4—84no—
1483C2×C4—84no—
1484C2×C4C2×2−1+414yes—
1485C2×C4C2×2−1+412yes—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C2×C4#58512yes—
1492C2×C4#58512yes—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22C22×2−1+411yescharacteristic
1508C22C22×2−1+411yescharacteristic
1509C22C2×#58511yescharacteristic
1510C22C2×#58511yescharacteristic
1511C22C2×#58511yescharacteristic
1512C22C2×#58511yescharacteristic
1513C22H(7,𝔽2)11yescharacteristic
1514C4—24no—
1515C4—22no—
1516C4—22no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—41no—
1522C4—41no—
1523C4—42no—
1524C4—41no—
1525C4—42no—
1526C4—42no—
1527C4—44no—
1528C4—41no—
1529C4—41no—
1530C4—42no—
1531C4—42no—
1532C4—44no—
1533C4—41no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—44no—
1540C4—41no—
1541C4—44no—
1542C4—41no—
1543C4—41no—
1544C4—42no—
1545C4#355514yes—
1546C4#356514yes—
1547C2—82no—
1548C2—82no—
1549C2C2×#356511yescharacteristic
1550C2C2×#355511yescharacteristic
1551C2#6282711yescharacteristic
1552C2#6292611yescharacteristic
1553C2#6293711yescharacteristic
1554C2#6295211yescharacteristic
1555C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59445C2semidirect
2. #59435C2semidirect
3. #59426C2semidirect
4. #58379C2semidirect
5. #55376C2semidirect
6. #54515C2semidirect
7. #53123C2semidirect
8. #53083C2semidirect
9. #50140C2semidirect
10. #45662C2semidirect
11. #45513C2semidirect
12. #45218C2semidirect
13. #45193C2semidirect
14. #42779C2semidirect
15. #42762C2semidirect
16. #42748C2semidirect
17. #42748C2semidirect
18. #39986C2semidirect
19. #39626C2semidirect
21. #39192C2semidirect
22. #39183C2semidirect
23. #39157C2semidirect
24. #38074C2semidirect
25. #37986C2semidirect
26. #37637C2semidirect
27. #37326C2semidirect
28. #37295C2semidirect
29. #36574C2semidirect
30. #36407C2semidirect
33. #35177C2semidirect
34. #34945C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#594452
#594352
#594262
#583792
#553762
#545152
#531232
#530832
#501402
#456622
#455132
#452182
#451932
#427792
#427622
#427482
#399862
#396262
#391942
#391922
#391832
#391572
#380742
#379862
#376372
#373262
#372952
#365742
#364072
#361742
#352072
#351772
#349452
#348932