Finite Group Databasebeta

← #7688593

Subgroups — #7688593

Order 512.

4817 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59509C212yesmaximal, complemented
3#59332C212yesmaximal, complemented
4#59318C212yesmaximal, complemented
5#59304C211yesmaximal, characteristic, complemented
6#59299C212yesmaximal, complemented
7#59298C212yesmaximal, complemented
8#59254C212yesmaximal, complemented
9#59212C211yesmaximal, characteristic, complemented
10#44529C214yesmaximal, complemented
11#43650C214yesmaximal, complemented
12#43647C214yesmaximal, complemented
13#39938C212yesmaximal, complemented
14#39928C212yesmaximal, complemented
15#39145C212yesmaximal, complemented
16#39011C212yesmaximal, complemented
17#38996C212yesmaximal, complemented
18#38973C212yesmaximal, complemented
19#36551C211yesmaximal, characteristic, complemented
20#36416C211yesmaximal, characteristic, complemented
21#36361C212yesmaximal, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36189C211yesmaximal, characteristic, complemented
24#36176C211yesmaximal, characteristic, complemented
25#36176C211yesmaximal, characteristic, complemented
26#36171C212yesmaximal, complemented
27#36165C211yesmaximal, characteristic, complemented
28#35892C214yesmaximal, complemented
29#34948C211yesmaximal, characteristic, complemented
30#34943C211yesmaximal, characteristic, complemented
31C2×#2571C211yesmaximal, characteristic, complemented
32#34323C212yesmaximal, complemented
33#34191C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#553C2211yescharacteristic
37C2×#553C2212yes—
38C2×#547C2211yescharacteristic
39C2×C4×#41C2212yes—
40#2864C2212yes—
41#2859C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2854C2212yes—
45#2854C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2799C2214yes—
50#2783C2214yes—
51#2782C2214yes—
52#2781C2214yes—
53#2778C2214yes—
54#2776C2214yes—
55#2773C2214yes—
56#2771C2214yes—
57#2766C2214yes—
58#2765C2214yes—
59#2762C2214yes—
60#2754C2214yes—
61#2750C2214yes—
62#2744C2214yes—
63#2743C2214yes—
64#2738C2214yes—
65#2718C2214yes—
66#2706C2214yes—
67#2698C2214yes—
68#2694C2214yes—
69#2693C2214yes—
70#2654C2214yes—
71#2652C2214yes—
72#2643C2214yes—
73#2611C2214yes—
74#2595C2214yes—
75#2589C2214yes—
76#2589C2214yes—
77#2587C2214yes—
78#2584C2212yes—
79#2580C2212yes—
80#2575C2214yes—
81#2575C2214yes—
82#2572C2214yes—
83#2571C2212yes—
84#2571C2211yescharacteristic
85#2571C2211yescharacteristic
86#2571C2211yescharacteristic
87#2571C2211yescharacteristic
88#2571C2212yes—
89#2571C2212yes—
90#2571C2211yescharacteristic
91#2571C2214yes—
92#2571C2212yes—
93#2570C2212yes—
94#2570C2212yes—
95#2570C2212yes—
96#2569C2214yes—
97#2566C2212yes—
98#2563C2211yescharacteristic
99#2563C2211yescharacteristic
100#2558C2214yes—
101#2553C2214yes—
102#2552C2211yescharacteristic
103#2552C2211yescharacteristic
104#2550C2212yes—
105#2537C2211yescharacteristic
106#2535C2212yes—
107#2533C2214yes—
108#2533C2214yes—
109#2532C2214yes—
110#2532C2214yes—
111#2528C2214yes—
112#2528C2214yes—
113#2527C2214yes—
114#2524C2214yes—
115#2517C2214yes—
116#2515C2214yes—
117#2513C2212yes—
118#2513C2212yes—
119#2511C2212yes—
120#2509C2212yes—
121#2509C2212yes—
122#2509C2212yes—
123#2508C2212yes—
124#2508C2212yes—
125#2508C2212yes—
126#2508C2212yes—
127#2507C2212yes—
128#2506C2212yes—
129#2506C2212yes—
130#2505C2214yes—
131#2505C2214yes—
132#2504C2212yes—
133#2501C2212yes—
134#2498C2214yes—
135#2497C2212yes—
136#2497C2212yes—
137#2496C2212yes—
138#2495C2214yes—
139#2495C2212yes—
140#2495C2212yes—
141#2495C2212yes—
142#2495C2212yes—
143#2494C2212yes—
144#2494C2212yes—
145#2494C2212yes—
146#2494C2212yes—
147#2493C2214yes—
148#2488C2214yes—
149#2488C2214yes—
150#2488C2214yes—
151#2487C2212yes—
152#2487C2212yes—
153#2487C2212yes—
154#2486C2212yes—
155#2486C2212yes—
156#2485C2212yes—
157#2485C2212yes—
158#2479C2214yes—
159#2477C2214yes—
160#2473C2214yes—
161#2470C2214yes—
162#2469C2214yes—
163#2455C2214yes—
164#2454C2212yes—
165#2453C2214yes—
166#2450C2214yes—
167#2443C2214yes—
168#2443C2214yes—
169#2442C2212yes—
170#2442C2212yes—
171#2442C2212yes—
172#2442C2212yes—
173#2442C2212yes—
174#2441C2212yes—
175#2441C2212yes—
176#2441C2212yes—
177#2439C2212yes—
178#2430C2214yes—
179#2425C2214yes—
180#2423C2212yes—
181#2422C2212yes—
182#2420C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2419C2214yes—
186#2419C2214yes—
187#2419C2214yes—
188#2417C2212yes—
189#2416C2212yes—
190#2414C2212yes—
191#2402C2214yes—
192#2398C2214yes—
193C2×#400C2214yes—
194#2374C2212yes—
195#2373C2214yes—
196#2373C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2211yescharacteristic
200#2369C2211yescharacteristic
201#2369C2211yescharacteristic
202#2365C2211yescharacteristic
203#2364C2212yes—
204#2363C2211yescharacteristic
205#2363C2212yes—
206#2362C2212yes—
207#2361C2214yes—
208#2361C2211yescharacteristic
209#2361C2211yescharacteristic
210#2361C2211yescharacteristic
211#2360C2212yes—
212#2359C2214yes—
213#2359C2214yes—
214#2359C2212yes—
215#2359C2212yes—
216#2357C2211yescharacteristic
217#2355C2212yes—
218#2355C2212yes—
219#2354C2211yescharacteristic
220#2354C2211yescharacteristic
221#2354C2211yescharacteristic
222#2353C2212yes—
223#2352C2212yes—
224#2352C2212yes—
225#2352C2212yes—
226#2352C2214yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2211yescharacteristic
230#2349C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237#2347C2211yescharacteristic
238#2346C2212yes—
239#2346C2212yes—
240#2346C2214yes—
241#2345C2212yes—
242#2345C2211yescharacteristic
243#2345C2212yes—
244#2344C2211yescharacteristic
245#2344C2211yescharacteristic
246#2344C2212yes—
247#2343C2214yes—
248#2343C2214yes—
249#2339C2212yes—
250#2339C2214yes—
251#2335C2214yes—
252#2334C2214yes—
253#2325C2214yes—
254#2320C2214yes—
255#2318C2214yes—
256#2318C2214yes—
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×#125C2211yescharacteristic
260C4×#125C2212yes—
261C4×#125C2212yes—
262C4×#126C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×#123C2212yes—
265C4×#123C2212yes—
266C4×#123C2212yes—
267C4×#121C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275#2296C2212yes—
276#2296C2212yes—
277#2293C2212yes—
278C2×#389C2212yes—
279C2×#389C2212yes—
280#2285C2212yes—
281#2285C2211yescharacteristic
282C2×#384C2211yescharacteristic
283#2283C2212yes—
284#2283C2212yes—
285#2283C2212yes—
286#2283C2212yes—
287C2×#382C2212yes—
288C2×#382C2212yes—
289C2×#382C2212yes—
290#2275C2214yes—
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#553—216no—
301#553—28no—
302#547—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#123C2314yes—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×#121C2314yes—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2311yescharacteristic
330C4×#41—216no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2314yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2312yes—
379C22×C42C2312yes—
380C22×C42C2312yes—
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384C22×C42C2312yes—
385#401C2314yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#392C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2314yes—
458#391C2314yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#390C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2314yes—
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2311yescharacteristic
482#389C2311yescharacteristic
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2314yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#388C2312yes—
527#388C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2314yes—
647#385C2312yes—
648#384C2311yescharacteristic
649#384C2311yescharacteristic
650#384C2312yes—
651#384C2312yes—
652#384C2312yes—
653#384C2311yescharacteristic
654#384C2312yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#383C2312yes—
658#383C2314yes—
659#383C2314yes—
660#383C2314yes—
661#383C2314yes—
662#382C2312yes—
663#382C2312yes—
664#382C2311yescharacteristic
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#382C2312yes—
671#382C2312yes—
672#382C2314yes—
673#382C2314yes—
674#382C2312yes—
675#382C2314yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2314yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2314yes—
684#382C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#381C2314yes—
690#381C2312yes—
691#381C2312yes—
692#381C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803#376C2312yes—
804C2×#95C2312yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C2×#41—28no—
815C2×#41—28no—
816C2×#41—44no—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850#126—28no—
851#126—216no—
852#125—28no—
853#125—24no—
854#125—44no—
855#125—44no—
856#125—84no—
857#123—28no—
858#123—28no—
859#123—28no—
860#123—216no—
861#123—48no—
862#123—84no—
863#123—84no—
864C22⋊Q8—28no—
865C22⋊Q8—44no—
866C22⋊Q8—82no—
867#121—24no—
868#121—28no—
869#121—28no—
870#121—216no—
871#121—24no—
872#121—24no—
873#121—44no—
874#121#4118yes—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—82no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—216no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—48no—
899C4×D4—84no—
900C4×D4#4118yes—
901#117—24no—
902#117—28no—
903#117—28no—
904#117—28no—
905#117—28no—
906#117—42no—
907#117—44no—
908#117—44no—
909#117—84no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4—42no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—84no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C42—28no—
1038C2×C42—28no—
1039C2×C42—28no—
1040C2×C42—24no—
1041C2×C42—24no—
1042C2×C42—44no—
1043C2×C42—44no—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24C2512yes—
1162C24C2512yes—
1163C24C2511yescharacteristic
1164C24C2511yescharacteristic
1165#41—432no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4C2×#4114yes—
1194C2×D4C2×#4114yes—
1195C2×D4C2×#4118yes—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—28no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4C2×#4114yes—
1257C22×C4C2×#4114yes—
1258C22×C4C2×#4114yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
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—42no—
1357C4⋊C4—42no—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4114yes—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4C2×#4114yes—
1403C22⋊C4C2×#4114yes—
1404C22⋊C4C2×#4118yes—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—41no—
1439C42—42no—
1440C42—44no—
1441C42—41no—
1442C42C2×#4114yes—
1443C422−1+414yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23C22×#4114yes—
1468C23C22×#4112yes—
1469C23C22×#4112yes—
1470C23C22×#4112yes—
1471C23#58512yes—
1472C23C2611yescharacteristic
1473Q8—48no—
1474Q8—84no—
1475D4—216no—
1476D4—28no—
1477D4—28no—
1478D4—48no—
1479D4—48no—
1480D4—44no—
1481D4—84no—
1482D4—88no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—28no—
1498C2×C4—28no—
1499C2×C4—28no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—44no—
1567C2×C4—48no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—82no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—164no—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—22no—
1608C22—24no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22#347514yes—
1625C22C23×#4111yescharacteristic
1626C22C23×#4111yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22H(7,𝔽2)11yescharacteristic
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—24no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—44no—
1647C4—44no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—44no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4#351514yes—
1662C4#351514yes—
1663C2—24no—
1664C2—42no—
1665C2—44no—
1666C2—82no—
1667C2C2×#347511yescharacteristic
1668C2C2×#351511yescharacteristic
1669C2C2×#351511yescharacteristic
1670C2#6295811yescharacteristic
1671C2#6299411yescharacteristic
1672C2#6301011yescharacteristic
1673C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59665C2semidirect
2. #59509C2semidirect
3. #59332C2semidirect
4. #59318C2semidirect
5. #59304C2semidirect
6. #59299C2semidirect
7. #59298C2semidirect
8. #59254C2semidirect
9. #59212C2semidirect
10. #44529C2semidirect
11. #43650C2semidirect
12. #43647C2semidirect
13. #39938C2semidirect
14. #39928C2semidirect
15. #39145C2semidirect
16. #39011C2semidirect
17. #38996C2semidirect
18. #38973C2semidirect
19. #36551C2semidirect
20. #36416C2semidirect
21. #36361C2semidirect
22. #36301C2semidirect
23. #36189C2semidirect
24. #36176C2semidirect
25. #36176C2semidirect
26. #36171C2semidirect
27. #36165C2semidirect
28. #35892C2semidirect
29. #34948C2semidirect
30. #34943C2semidirect
31. C2×#2571C2semidirect
32. #34323C2semidirect
33. #34191C2semidirect
34. C4×#553C2semidirect
35. C4×#547C2semidirect

Maximal subgroups

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

subgroupindex
#596652
#595092
#593322
#593182
#593042
#592992
#592982
#592542
#592122
#445292
#436502
#436472
#399382
#399282
#391452
#390112
#389962
#389732
#365512
#364162
#363612
#363012
#361892
#361762
#361712
#361652
#358922
#349482
#349432
C2×#25712
#343232
#341912
C4×#5532
C4×#5472