Finite Group Databasebeta

← #7879696

Subgroups — #7879696

Order 512.

4522 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59484C212yesmaximal, complemented
2#59436C211yesmaximal, characteristic, complemented
3#59257C211yesmaximal, characteristic, complemented
4#59248C211yesmaximal, characteristic, complemented
5#59197C212yesmaximal, complemented
6#51139C214yesmaximal, complemented
7#48956C214yesmaximal, complemented
8#46897C214yesmaximal, complemented
9#45252C212yesmaximal, complemented
10#45169C212yesmaximal, complemented
11#45161C212yesmaximal, complemented
12#45061C212yesmaximal
13#43885C214yesmaximal, complemented
14#42948C212yesmaximal, complemented
15#42720C212yesmaximal, complemented
16#39911C212yesmaximal, complemented
17#39608C211yesmaximal, characteristic, complemented
18#39250C212yesmaximal, complemented
19#38967C211yesmaximal, characteristic, complemented
20#38931C211yesmaximal, characteristic, complemented
21#38921C211yesmaximal, characteristic, complemented
22#38276C212yesmaximal, complemented
23#37853C212yesmaximal, complemented
24#36555C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36154C211yesmaximal, characteristic, complemented
27#35963C212yesmaximal, complemented
28#35828C212yesmaximal, complemented
29#35631C212yesmaximal, complemented
30#35544C212yesmaximal, complemented
31#34898C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34383C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35#34194C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2864C2212yescomplemented
40#2859C2211yescharacteristic, complemented
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic, complemented
43#2848C2212yes—
44#2839C2214yescomplemented
45#2794C2214yescomplemented
46#2789C2214yescomplemented
47#2788C2214yescomplemented
48#2778C2214yes—
49#2777C2214yescomplemented
50#2776C2214yescomplemented
51#2770C2214yescomplemented
52#2765C2214yescomplemented
53#2765C2214yescomplemented
54#2763C2214yescomplemented
55#2762C2214yescomplemented
56#2758C2214yescomplemented
57#2751C2214yescomplemented
58#2750C2214yes—
59#2750C2214yes—
60#2750C2214yescomplemented
61#2747C2214yes—
62#2747C2214yes—
63#2747C2214yescomplemented
64#2746C2214yes—
65#2745C2214yescomplemented
66#2745C2214yescomplemented
67#2742C2214yes—
68#2742C2214yescomplemented
69#2741C2214yes—
70#2741C2214yescomplemented
71#2738C2214yescomplemented
72#2736C2214yes—
73#2698C2214yes—
74#2698C2214yescomplemented
75#2692C2214yescomplemented
76#2685C2214yes—
77#2680C2214yescomplemented
78#2667C2214yescomplemented
79#2655C2214yescomplemented
80#2653C2214yes—
81#2650C2214yescomplemented
82#2647C2212yescomplemented
83#2628C2212yescomplemented
84#2628C2212yescomplemented
85#2625C2212yescomplemented
86#2599C2214yes—
87#2599C2214yescomplemented
88#2599C2214yescomplemented
89#2597C2214yescomplemented
90#2589C2214yescomplemented
91#2587C2214yescomplemented
92#2587C2214yescomplemented
93#2582C2211yescharacteristic, complemented
94#2578C2214yes—
95#2577C2212yescomplemented
96#2575C2212yes—
97#2575C2214yescomplemented
98#2573C2214yescomplemented
99#2573C2214yescomplemented
100#2572C2214yes—
101#2571C2211yescharacteristic, complemented
102#2570C2212yescomplemented
103#2570C2212yescomplemented
104#2570C2211yescharacteristic, complemented
105#2569C2214yescomplemented
106#2567C2211yescharacteristic, complemented
107#2565C2211yescharacteristic, complemented
108#2563C2211yescharacteristic
109#2563C2212yes—
110#2563C2212yescomplemented
111#2562C2212yes—
112#2562C2211yescharacteristic
113#2561C2214yes—
114#2552C2212yescomplemented
115#2551C2211yescharacteristic, complemented
116#2550C2212yescomplemented
117#2538C2211yescharacteristic
118#2536C2211yescharacteristic
119#2524C2212yescomplemented
120#2524C2214yescomplemented
121#2522C2214yescomplemented
122#2518C2214yescomplemented
123#2517C2214yescomplemented
124#2516C2214yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2510C2214yescomplemented
130#2509C2212yescomplemented
131#2509C2212yescomplemented
132#2509C2212yescomplemented
133#2508C2212yescomplemented
134#2508C2212yescomplemented
135#2503C2212yescomplemented
136#2498C2214yescomplemented
137#2497C2214yescomplemented
138#2497C2212yescomplemented
139#2497C2212yescomplemented
140#2496C2212yes—
141#2496C2212yes—
142#2496C2211yescharacteristic
143#2496C2214yes—
144#2495C2212yes—
145#2495C2212yes—
146#2495C2214yes—
147#2495C2212yescomplemented
148#2495C2211yescharacteristic, complemented
149#2495C2214yescomplemented
150#2495C2212yescomplemented
151#2495C2212yescomplemented
152#2494C2212yes—
153#2494C2212yes—
154#2494C2212yes—
155#2494C2212yescomplemented
156#2494C2214yescomplemented
157#2494C2212yescomplemented
158#2493C2214yescomplemented
159#2493C2214yescomplemented
160#2493C2214yescomplemented
161#2493C2214yescomplemented
162#2492C2212yes—
163#2492C2212yes—
164#2489C2212yescomplemented
165#2487C2212yes—
166#2487C2212yescomplemented
167#2486C2212yescomplemented
168#2485C2212yes—
169#2482C2214yes—
170#2480C2214yes—
171#2480C2214yes—
172#2480C2212yes—
173#2477C2214yes—
174#2471C2214yes—
175#2468C2212yes—
176#2468C2212yes—
177#2458C2214yescomplemented
178#2457C2212yes—
179#2454C2212yes—
180#2454C2212yes—
181#2454C2212yes—
182#2454C2211yescharacteristic
183#2453C2212yescomplemented
184#2452C2212yes—
185#2450C2214yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2211yescharacteristic
189#2442C2212yes—
190#2442C2211yescharacteristic
191#2442C2212yescomplemented
192#2442C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2438C2214yescomplemented
196#2437C2214yes—
197#2435C2211yescharacteristic
198#2427C2211yescharacteristic
199#2423C2211yescharacteristic
200#2423C2214yescomplemented
201#2423C2212yescomplemented
202#2422C2212yes—
203#2421C2212yes—
204#2421C2212yescomplemented
205#2421C2211yescharacteristic, complemented
206#2420C2212yes—
207#2420C2211yescharacteristic
208#2418C2212yes—
209#2417C2212yes—
210#2417C2211yescharacteristic
211#2415C2212yes—
212#2415C2212yescomplemented
213#2415C2212yescomplemented
214#2412C2214yes—
215#2408C2211yescharacteristic
216#2402C2212yescomplemented
217#2396C2214yescomplemented
218#2395C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2376C2214yescomplemented
222#2370C2212yescomplemented
223#2370C2212yescomplemented
224#2370C2212yescomplemented
225#2369C2211yescharacteristic, complemented
226#2367C2212yes—
227#2365C2212yescomplemented
228#2365C2212yescomplemented
229#2362C2212yes—
230#2362C2214yescomplemented
231#2362C2212yescomplemented
232#2360C2212yescomplemented
233#2357C2212yes—
234#2357C2212yes—
235#2355C2211yescharacteristic, complemented
236#2355C2211yescharacteristic, complemented
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2212yescomplemented
241#2352C2212yes—
242#2352C2212yes—
243#2352C2212yescomplemented
244#2352C2212yescomplemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250#2347C2212yescomplemented
251#2345C2212yes—
252#2345C2212yescomplemented
253#2344C2212yescomplemented
254#2344C2212yescomplemented
255#2342C2214yes—
256#2342C2214yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2334C2214yes—
260#2334C2214yescomplemented
261#2332C2214yescomplemented
262#2324C2212yes—
263#2324C2212yes—
264#2323C2212yescomplemented
265#2323C2212yescomplemented
266#2320C2212yescomplemented
267#2319C2212yes—
268#2318C2214yes—
269#2317C2212yescomplemented
270#2317C2212yescomplemented
271#2316C2212yescomplemented
272#2314C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#125C2212yescomplemented
275C4×#125C2211yescharacteristic, complemented
276C4×#126C2212yes—
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic
283C4×#120C2212yes—
284#2298C2212yescomplemented
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic, complemented
289#2285C2211yescharacteristic, complemented
290#2283C2211yescharacteristic
291#2280C2212yes—
292#2280C2212yes—
293C2×#380C2212yes—
294C2×#380C2212yes—
295#2275C2212yes—
296#2274C2212yescomplemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#120C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2314yes—
337C2×C4×D4—28no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2314yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372#401C2314yes—
373#401C2314yes—
374#401C2314yes—
375#401C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#392C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2311yescharacteristic
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
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#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2314yes—
669#384C2311yescharacteristic
670#383C2312yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2312yes—
675#383C2314yes—
676#383C2314yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2314yes—
700#381C2312yes—
701#381C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#379C2312yes—
742#379C2314yes—
743#379C2314yes—
744#379C2312yes—
745#379C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C25C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4—24no—
819C22×D4—24no—
820C22×D4—42no—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4—28no—
828C23×C4—44no—
829C23×C4—44no—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C4⋊Q8—24no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848#126—28no—
849#126—44no—
850#126—48no—
851#125—24no—
852#125—28no—
853#125—42no—
854#125—44no—
855#124—24no—
856#124—24no—
857#123—28no—
858#123—84no—
859C22⋊Q8—28no—
860C22⋊Q8—24no—
861C22⋊Q8—216no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—42no—
865C22⋊Q8—42no—
866C22⋊Q8—42no—
867C22⋊Q8—84no—
868C22⋊Q8—82no—
869#121—24no—
870#121—24no—
871#120—44no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—84no—
878C4×Q8—82no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4#4118yes—
894#117—28no—
895#117—44no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—84no—
901#117—82no—
902#117—84no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4—28no—
980C2×C22⋊C4—48no—
981C2×C22⋊C4—84no—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C42—24no—
1035C2×C42—24no—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24—24no—
1151C24—24no—
1152C24—24no—
1153C24—42no—
1154C24—42no—
1155C24—42no—
1156C24—42no—
1157C24C2511yescharacteristic
1158C24C2512yes—
1159C24C2512yes—
1160C24C2511yescharacteristic
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—416no—
1190C2×D4C2×#4114yes—
1191C2×D42−1+414yes—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—41no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—816no—
1237C22×C4C2×#4118yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4C2×#4114yes—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4C2×#4118yes—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—42no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—41no—
1417C42—42no—
1418C42—42no—
1419C42—44no—
1420C42—41no—
1421C42—42no—
1422C42—44no—
1423C42C2×#4114yes—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—48no—
1450C23—48no—
1451C23—48no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23C22×#4114yes—
1457C23C2×2−1+414yes—
1458C23#58512yes—
1459C23C2611yescharacteristic
1460Q8—44no—
1461Q8—44no—
1462Q8—84no—
1463Q8—88no—
1464D4—28no—
1465D4—28no—
1466D4—48no—
1467D4—44no—
1468D4—84no—
1469D4—84no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—216no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—82no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—164no—
1569C2×C4—164no—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4114yes—
1572C2×C4C22×#4112yes—
1573C2×C4C22×#4112yes—
1574C2×C4C2×2−1+412yes—
1575C2×C4#58512yes—
1576C2×C4#58512yes—
1577C2×C4#58512yes—
1578C22—22no—
1579C22—24no—
1580C22—24no—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—22no—
1586C22—24no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—41no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—816no—
1607C22C23×#4111yescharacteristic
1608C22C22×2−1+411yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C4—22no—
1615C4—24no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—44no—
1620C4—42no—
1621C4—41no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—42no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—41no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4—44no—
1642C4—42no—
1643C4#349514yes—
1644C4#352114yes—
1645C2—44no—
1646C2—44no—
1647C2—42no—
1648C2—81no—
1649C2C2×#352111yescharacteristic
1650C2C2×#349511yescharacteristic
1651C2#6282711yescharacteristic
1652C2#6293811yescharacteristic
1653C2#6295111yescharacteristic
1654C2#6300811yescharacteristic
1655C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59484C2semidirect
2. #59436C2semidirect
3. #59257C2semidirect
4. #59248C2semidirect
5. #59197C2semidirect
6. #51139C2semidirect
7. #48956C2semidirect
8. #46897C2semidirect
9. #45252C2semidirect
10. #45169C2semidirect
11. #45161C2semidirect
13. #43885C2semidirect
14. #42948C2semidirect
15. #42720C2semidirect
16. #39911C2semidirect
17. #39608C2semidirect
18. #39250C2semidirect
19. #38967C2semidirect
20. #38931C2semidirect
21. #38921C2semidirect
22. #38276C2semidirect
23. #37853C2semidirect
24. #36555C2semidirect
25. #36210C2semidirect
26. #36154C2semidirect
27. #35963C2semidirect
28. #35828C2semidirect
29. #35631C2semidirect
30. #35544C2semidirect
31. #34898C2semidirect
33. #34383C2semidirect
34. #34317C2semidirect
35. #34194C2semidirect
39. #2864C22semidirect
40. #2859C22semidirect
42. #2857C22semidirect
44. #2839C22semidirect
45. #2794C22semidirect
46. #2789C22semidirect
47. #2788C22semidirect
49. #2777C22semidirect
50. #2776C22semidirect
51. #2770C22semidirect
52. #2765C22semidirect
53. #2765C22semidirect
54. #2763C22semidirect
55. #2762C22semidirect
56. #2758C22semidirect
57. #2751C22semidirect
60. #2750C22semidirect
63. #2747C22semidirect
65. #2745C22semidirect
66. #2745C22semidirect
68. #2742C22semidirect
70. #2741C22semidirect
71. #2738C22semidirect
74. #2698C22semidirect
75. #2692C22semidirect
77. #2680C22semidirect
78. #2667C22semidirect
79. #2655C22semidirect
81. #2650C22semidirect
82. #2647C22semidirect
83. #2628C22semidirect
84. #2628C22semidirect
85. #2625C22semidirect
87. #2599C22semidirect
88. #2599C22semidirect
89. #2597C22semidirect
90. #2589C22semidirect
91. #2587C22semidirect
92. #2587C22semidirect
93. #2582C22semidirect
95. #2577C22semidirect
97. #2575C22semidirect
98. #2573C22semidirect
99. #2573C22semidirect
101. #2571C22semidirect
102. #2570C22semidirect
103. #2570C22semidirect
104. #2570C22semidirect
105. #2569C22semidirect
106. #2567C22semidirect
107. #2565C22semidirect
110. #2563C22semidirect
114. #2552C22semidirect
115. #2551C22semidirect
116. #2550C22semidirect
119. #2524C22semidirect
120. #2524C22semidirect
121. #2522C22semidirect
122. #2518C22semidirect
123. #2517C22semidirect
124. #2516C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2510C22semidirect
130. #2509C22semidirect
131. #2509C22semidirect
132. #2509C22semidirect
133. #2508C22semidirect
134. #2508C22semidirect
135. #2503C22semidirect
136. #2498C22semidirect
137. #2497C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2495C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
157. #2494C22semidirect
158. #2493C22semidirect
159. #2493C22semidirect
160. #2493C22semidirect
161. #2493C22semidirect
164. #2489C22semidirect
166. #2487C22semidirect
167. #2486C22semidirect
177. #2458C22semidirect
183. #2453C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2438C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
212. #2415C22semidirect
213. #2415C22semidirect
216. #2402C22semidirect
217. #2396C22semidirect
221. #2376C22semidirect
222. #2370C22semidirect
223. #2370C22semidirect
224. #2370C22semidirect
225. #2369C22semidirect
227. #2365C22semidirect
228. #2365C22semidirect
230. #2362C22semidirect
231. #2362C22semidirect
232. #2360C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
240. #2354C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
245. Q8×C4⋊C4C22semidirect
250. #2347C22semidirect
252. #2345C22semidirect
253. #2344C22semidirect
254. #2344C22semidirect
260. #2334C22semidirect
261. #2332C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
266. #2320C22semidirect
269. #2317C22semidirect
270. #2317C22semidirect
271. #2316C22semidirect
272. #2314C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×#125C22semidirect
275. C4×#125C22semidirect
281. C4×C22⋊Q8C22semidirect
284. #2298C22semidirect
288. #2285C22semidirect
289. #2285C22semidirect
296. #2274C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594842
#594362
#592572
#592482
#591972
#511392
#489562
#468972
#452522
#451692
#451612
#450612
#438852
#429482
#427202
#399112
#396082
#392502
#389672
#389312
#389212
#382762
#378532
#365552
#362102
#361542
#359632
#358282
#356312
#355442
#348982
#347002
#343832
#343172
#341942