Finite Group Databasebeta

← #7987457

Subgroups — #7987457

Order 512.

4726 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59859C212yesmaximal, complemented
2#59643C212yesmaximal, complemented
3#59639C211yesmaximal, characteristic, complemented
4#59312C211yesmaximal, characteristic, complemented
5#59256C211yesmaximal, characteristic, complemented
6#49427C214yesmaximal, complemented
7#48296C214yesmaximal, complemented
8#45894C214yesmaximal, complemented
9#45295C212yesmaximal, complemented
10#45116C212yesmaximal, complemented
11#45113C212yesmaximal, complemented
12#45067C212yesmaximal, complemented
13#42656C212yesmaximal, complemented
14#42622C212yesmaximal, complemented
15#42576C212yesmaximal, complemented
16#42446C212yesmaximal, complemented
17#40324C214yesmaximal, complemented
18#39566C212yesmaximal, complemented
19#39343C211yesmaximal, characteristic, complemented
20#39176C212yesmaximal, complemented
21#38933C211yesmaximal, characteristic, complemented
22#38930C211yesmaximal, characteristic, complemented
23#38911C211yesmaximal, characteristic, complemented
24#36555C211yesmaximal, characteristic, complemented
25#36416C211yesmaximal, characteristic, complemented
26#36252C212yesmaximal, complemented
27#36232C212yesmaximal, complemented
28#36189C211yesmaximal, characteristic, complemented
29#35219C212yesmaximal, complemented
30#35182C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34889C211yesmaximal, characteristic
33#34384C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×#536C2212yes—
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C22×C4×Q8C2212yes—
42#2864C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2853C2214yes—
47#2853C2214yes—
48#2852C2214yes—
49#2851C2212yes—
50#2827C2214yes—
51#2827C2214yes—
52#2810C2214yes—
53#2806C2214yes—
54#2802C2214yes—
55#2800C2214yes—
56#2799C2214yes—
57#2798C2214yes—
58#2796C2214yes—
59#2789C2214yes—
60#2787C2214yes—
61#2783C2214yes—
62#2773C2214yes—
63#2770C2214yes—
64#2766C2214yes—
65#2758C2214yes—
66#2746C2214yes—
67#2745C2214yes—
68#2743C2214yes—
69#2743C2214yes—
70#2740C2214yes—
71#2739C2214yes—
72#2738C2214yes—
73#2738C2214yes—
74#2721C2214yes—
75#2715C2214yes—
76#2713C2214yes—
77#2710C2214yes—
78#2708C2214yes—
79#2707C2214yes—
80#2693C2214yes—
81#2689C2214yes—
82#2687C2214yes—
83#2674C2214yes—
84#2672C2214yes—
85#2653C2214yes—
86#2652C2214yes—
87#2649C2214yes—
88#2647C2212yes—
89#2647C2212yes—
90#2630C2214yes—
91#2625C2212yes—
92#2623C2214yes—
93#2623C2214yes—
94#2616C2212yes—
95#2607C2214yes—
96#2604C2214yes—
97#2599C2214yes—
98#2596C2214yes—
99#2595C2214yes—
100#2592C2212yes—
101#2589C2214yes—
102#2588C2214yes—
103#2587C2214yes—
104#2587C2214yes—
105#2585C2214yes—
106#2582C2211yescharacteristic
107#2580C2212yes—
108#2578C2214yes—
109#2576C2214yes—
110#2576C2214yes—
111#2573C2212yes—
112#2573C2212yes—
113#2573C2214yes—
114#2572C2214yes—
115#2571C2211yescharacteristic
116#2571C2211yescharacteristic
117#2570C2212yes—
118#2570C2212yes—
119#2568C2211yescharacteristic
120#2568C2211yescharacteristic
121#2566C2212yes—
122#2565C2212yes—
123#2559C2212yes—
124#2557C2214yes—
125#2557C2212yes—
126#2553C2214yes—
127#2552C2212yes—
128#2552C2211yescharacteristic
129#2551C2212yes—
130#2550C2211yescharacteristic
131#2550C2212yes—
132#2547C2211yescharacteristic
133#2544C2211yescharacteristic
134#2542C2211yescharacteristic
135#2540C2211yescharacteristic
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2536C2212yes—
139#2535C2211yescharacteristic
140#2528C2214yes—
141#2527C2214yes—
142#2527C2214yes—
143#2522C2214yes—
144#2521C2212yes—
145#2517C2214yes—
146#2516C2214yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2508C2212yes—
155#2507C2212yes—
156#2503C2212yes—
157#2501C2212yes—
158#2499C2212yes—
159#2499C2212yes—
160#2497C2212yes—
161#2497C2212yes—
162#2497C2212yes—
163#2494C2214yes—
164#2494C2212yes—
165#2494C2212yes—
166#2494C2211yescharacteristic
167#2494C2211yescharacteristic
168#2492C2212yes—
169#2492C2211yescharacteristic
170#2492C2212yes—
171#2491C2212yes—
172#2490C2211yescharacteristic
173#2489C2212yes—
174#2487C2212yes—
175#2486C2212yes—
176#2473C2214yes—
177#2471C2214yes—
178#2464C2212yes—
179#2462C2214yes—
180#2459C2214yes—
181#2458C2214yes—
182#2454C2212yes—
183#2453C2212yes—
184#2448C2214yes—
185#2448C2214yes—
186#2447C2212yes—
187#2447C2212yes—
188#2446C2214yes—
189#2446C2214yes—
190#2445C2212yes—
191#2443C2214yes—
192#2442C2212yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2439C2214yes—
197#2439C2212yes—
198#2428C2211yescharacteristic
199#2427C2211yescharacteristic
200#2423C2212yes—
201#2423C2212yes—
202#2423C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2422C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2421C2211yescharacteristic
209#2421C2212yes—
210#2421C2211yescharacteristic
211#2420C2212yes—
212#2420C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2413C2214yes—
218#2409C2212yes—
219#2409C2212yes—
220#2401C2212yes—
221#2401C2212yes—
222#2395C2212yes—
223#2388C2212yes—
224#2383C2214yes—
225#2377C2214yes—
226#2374C2214yes—
227#2370C2212yes—
228#2365C2212yes—
229#2365C2211yescharacteristic
230#2363C2212yes—
231#2363C2212yes—
232#2362C2212yes—
233#2361C2212yes—
234#2360C2214yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2356C2212yes—
240#2355C2212yes—
241#2355C2212yes—
242#2355C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249#2352C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256#2346C2212yes—
257#2345C2212yes—
258#2345C2212yes—
259#2344C2212yes—
260Q8×C22⋊C4C2212yes—
261#2337C2214yes—
262#2331C2212yes—
263#2330C2212yes—
264#2328C2212yes—
265#2326C2212yes—
266#2322C2214yes—
267#2320C2212yes—
268#2319C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2310C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2214yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287#2297C2212yes—
288#2296C2212yes—
289#2295C2212yes—
290#2290C2214yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#552—48no—
302D4×Q8—28no—
303#536—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×#127C2311yescharacteristic
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×C4×Q8—48no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2314yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2314yes—
387#401C2314yes—
388#401C2314yes—
389#401C2312yes—
390#401C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#392C2312yes—
487#392C2312yes—
488#392C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#383C2314yes—
702#383C2314yes—
703#383C2312yes—
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2312yes—
725#381C2314yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—42no—
855C4⋊Q8—48no—
856#127—24no—
857#126—28no—
858#126—48no—
859#125—24no—
860#125—44no—
861#125—44no—
862#125—48no—
863#124—24no—
864#124—28no—
865#124—24no—
866#124—44no—
867#124—48no—
868#123—28no—
869#123—48no—
870#123—48no—
871#123—48no—
872#123—48no—
873C22⋊Q8—24no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—24no—
878C22⋊Q8—216no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—24no—
885#121—24no—
886#121—24no—
887#121—28no—
888#121—44no—
889#121—42no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—44no—
896C4×Q8—48no—
897C4×Q8—48no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—42no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—42no—
914C4×D4#4118yes—
915#117—28no—
916#117—48no—
917#117—44no—
918#117—44no—
919#117—44no—
920#117—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42—48no—
1050C2×C42—44no—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2512yes—
1168C24C2511yescharacteristic
1169#41—816no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—28no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—28no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—432no—
1188C2×Q8H(5,𝔽2)14yes—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4C2×#4114yes—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—22no—
1220C22×C4—28no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4C2×#4118yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4C2×#4114yes—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4C2×#4118yes—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—28no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—42no—
1427C42—44no—
1428C42—42no—
1429C42—44no—
1430C42—41no—
1431C42—42no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—41no—
1437C42—44no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42C2×#4114yes—
1442C422−1+414yes—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23C22×#4114yes—
1470C23#58512yes—
1471C23C2611yescharacteristic
1472Q8—28no—
1473Q8—416no—
1474Q8—44no—
1475Q8—48no—
1476Q8—84no—
1477Q8—84no—
1478D4—28no—
1479D4—44no—
1480D4—48no—
1481D4—44no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—216no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—416no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—82no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—164no—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4114yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C2×H(5,𝔽2)14yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×2−1+412yes—
1590C2×C4C2×2−1+412yes—
1591C2×C4C2×2−1+412yes—
1592C2×C4#58512yes—
1593C2×C4#58512yes—
1594C22—22no—
1595C22—24no—
1596C22—22no—
1597C22—22no—
1598C22—24no—
1599C22—24no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22C23×#4111yescharacteristic
1623C22C22×H(5,𝔽2)11yescharacteristic
1624C22C22×2−1+411yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22C2×#58511yescharacteristic
1628C222−1+611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—24no—
1632C4—24no—
1633C4—22no—
1634C4—42no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—44no—
1642C4—42no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—41no—
1647C4—42no—
1648C4—44no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—44no—
1657C4—42no—
1658C4#350714yes—
1659C4#351314yes—
1660C2—42no—
1661C2—44no—
1662C2—81no—
1663C2—82no—
1664C2#6275211yescharacteristic
1665C2C2×#351311yescharacteristic
1666C2C2×#350711yescharacteristic
1667C2#6291311yescharacteristic
1668C2#6296811yescharacteristic
1669C2#6299311yescharacteristic
1670C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34889C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59859C2semidirect
2. #59643C2semidirect
3. #59639C2semidirect
4. #59312C2semidirect
5. #59256C2semidirect
6. #49427C2semidirect
7. #48296C2semidirect
8. #45894C2semidirect
9. #45295C2semidirect
10. #45116C2semidirect
11. #45113C2semidirect
12. #45067C2semidirect
13. #42656C2semidirect
14. #42622C2semidirect
15. #42576C2semidirect
16. #42446C2semidirect
17. #40324C2semidirect
18. #39566C2semidirect
19. #39343C2semidirect
20. #39176C2semidirect
21. #38933C2semidirect
22. #38930C2semidirect
23. #38911C2semidirect
24. #36555C2semidirect
25. #36416C2semidirect
26. #36252C2semidirect
27. #36232C2semidirect
28. #36189C2semidirect
29. #35219C2semidirect
30. #35182C2semidirect
31. #34945C2semidirect
33. #34384C2semidirect
34. #34367C2semidirect
35. C4×D4×Q8C2semidirect

Maximal subgroups

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

subgroupindex
#598592
#596432
#596392
#593122
#592562
#494272
#482962
#458942
#452952
#451162
#451132
#450672
#426562
#426222
#425762
#424462
#403242
#395662
#393432
#391762
#389332
#389302
#389112
#365552
#364162
#362522
#362322
#361892
#352192
#351822
#349452
#348892
#343842
#343672
C4×D4×Q82