Finite Group Databasebeta

← #7689617

Subgroups — #7689617

Order 512.

4751 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59855C212yesmaximal, complemented
3#59709C212yesmaximal, complemented
4#59706C214yesmaximal, complemented
5#59249C211yesmaximal, characteristic, complemented
6#59245C211yesmaximal, characteristic, complemented
7#59240C212yesmaximal, complemented
8#59240C212yesmaximal, complemented
9#45183C212yesmaximal, complemented
10#44983C212yesmaximal, complemented
11#43600C214yesmaximal, complemented
12#43248C214yesmaximal, complemented
13#39762C211yesmaximal, characteristic, complemented
14#39759C212yesmaximal, complemented
15#39157C211yesmaximal, characteristic, complemented
16#39155C212yesmaximal, complemented
17#38243C212yesmaximal, complemented
18#38232C214yesmaximal, complemented
19#36489C212yesmaximal, complemented
20#36480C211yesmaximal, characteristic, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36275C211yesmaximal, characteristic, complemented
23#36261C211yesmaximal, characteristic, complemented
24#36241C212yesmaximal, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36177C212yesmaximal, complemented
27#36042C212yesmaximal
28#35888C212yesmaximal, complemented
29#34803C211yesmaximal, characteristic, complemented
30C2×#2509C212yesmaximal, complemented
31#34332C212yesmaximal, complemented
32#34332C211yesmaximal, characteristic, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic
35#34127C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#554C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2863C2212yes—
42#2859C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2855C2212yes—
48#2852C2214yes—
49#2810C2214yes—
50#2805C2214yes—
51#2800C2214yes—
52#2798C2214yes—
53#2798C2214yes—
54#2789C2214yes—
55#2788C2214yes—
56#2783C2214yes—
57#2777C2214yes—
58#2777C2214yes—
59#2776C2214yes—
60#2776C2214yes—
61#2776C2214yes—
62#2775C2214yes—
63#2767C2214yes—
64#2767C2214yes—
65#2762C2214yes—
66#2758C2214yes—
67#2758C2214yes—
68#2727C2214yes—
69#2689C2214yes—
70#2645C2212yes—
71#2643C2214yes—
72#2642C2212yes—
73#2639C2214yes—
74#2605C2214yes—
75#2604C2214yes—
76#2604C2214yes—
77#2594C2214yes—
78#2594C2214yes—
79#2591C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2584C2212yes—
83#2583C2214yes—
84#2582C2211yescharacteristic
85#2582C2211yescharacteristic
86#2581C2214yes—
87#2571C2212yes—
88#2571C2212yes—
89#2568C2212yes—
90#2568C2212yes—
91#2567C2211yescharacteristic
92#2567C2211yescharacteristic
93#2562C2212yes—
94#2552C2211yescharacteristic
95#2551C2211yescharacteristic
96#2550C2212yes—
97#2549C2214yes—
98#2533C2212yes—
99#2533C2214yes—
100#2533C2214yes—
101#2528C2214yes—
102#2528C2214yes—
103#2527C2212yes—
104#2525C2214yes—
105#2524C2214yes—
106#2523C2212yes—
107#2514C2212yes—
108#2514C2212yes—
109#2514C2211yescharacteristic
110#2514C2212yes—
111#2514C2214yes—
112#2514C2212yes—
113#2514C2212yes—
114#2511C2212yes—
115#2511C2212yes—
116#2511C2212yes—
117#2511C2212yes—
118#2510C2214yes—
119#2510C2214yes—
120#2509C2214yes—
121#2509C2212yes—
122#2509C2212yes—
123#2509C2214yes—
124#2509C2212yes—
125#2509C2212yes—
126#2509C2214yes—
127#2509C2212yes—
128#2509C2212yes—
129#2509C2214yes—
130#2509C2212yes—
131#2509C2212yes—
132#2509C2211yescharacteristic
133#2509C2212yes—
134#2503C2214yes—
135#2499C2211yescharacteristic
136#2497C2212yes—
137#2497C2212yes—
138#2496C2212yes—
139#2496C2212yes—
140#2496C2212yes—
141#2496C2211yescharacteristic
142#2496C2212yes—
143#2495C2212yes—
144#2494C2212yes—
145#2494C2212yes—
146#2494C2212yes—
147#2493C2214yes—
148#2493C2214yes—
149#2493C2214yes—
150#2493C2214yes—
151#2493C2214yes—
152#2493C2214yes—
153#2492C2212yes—
154#2492C2212yes—
155#2492C2211yescharacteristic
156#2489C2212yes—
157#2489C2212yes—
158#2488C2214yes—
159#2488C2214yes—
160#2488C2214yes—
161#2488C2214yes—
162#2487C2212yes—
163#2487C2212yes—
164#2485C2211yescharacteristic
165#2485C2212yes—
166#2481C2214yes—
167#2481C2214yes—
168#2481C2214yes—
169#2481C2214yes—
170#2478C2214yes—
171#2469C2214yes—
172#2466C2212yes—
173#2465C2214yes—
174#2453C2212yes—
175#2453C2212yes—
176#2449C2214yes—
177#2449C2214yes—
178#2441C2212yes—
179#2441C2212yes—
180#2440C2212yes—
181#2440C2212yes—
182#2439C2212yes—
183#2439C2212yes—
184#2439C2211yescharacteristic
185#2438C2214yes—
186#2438C2214yes—
187#2421C2212yes—
188#2421C2212yes—
189#2417C2212yes—
190#2417C2212yes—
191#2415C2212yes—
192#2415C2211yescharacteristic
193#2401C2212yes—
194#2398C2212yes—
195C2×#400C2214yes—
196C2×#400C2214yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2212yes—
200#2369C2212yes—
201#2369C2211yescharacteristic
202#2365C2212yes—
203#2365C2211yescharacteristic
204#2365C2212yes—
205#2362C2212yes—
206#2362C2211yescharacteristic
207#2362C2212yes—
208#2362C2211yescharacteristic
209#2361C2212yes—
210#2360C2214yes—
211#2360C2214yes—
212#2360C2214yes—
213#2360C2214yes—
214#2360C2212yes—
215#2359C2212yes—
216#2359C2212yes—
217#2356C2214yes—
218#2355C2211yescharacteristic
219#2355C2211yescharacteristic
220#2355C2212yes—
221#2355C2211yescharacteristic
222#2355C2211yescharacteristic
223#2354C2211yescharacteristic
224#2352C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yes—
228Q8×C4⋊C4C2211yescharacteristic
229Q8×C4⋊C4C2212yes—
230#2349C2212yes—
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238#2347C2212yes—
239#2347C2212yes—
240#2347C2212yes—
241#2346C2212yes—
242#2345C2214yes—
243#2345C2212yes—
244#2344C2212yes—
245#2343C2214yes—
246#2343C2214yes—
247#2339C2211yescharacteristic
248#2339C2212yes—
249#2339C2212yes—
250#2339C2211yescharacteristic
251#2339C2212yes—
252#2339C2212yes—
253#2330C2212yes—
254#2330C2212yes—
255#2330C2212yes—
256#2329C2214yes—
257#2329C2214yes—
258#2329C2214yes—
259#2320C2212yes—
260#2318C2214yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#126C2212yes—
266C4×C22⋊Q8C2214yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×#123C2212yes—
273C4×#123C2212yes—
274C4×#121C2212yes—
275#2295C2211yescharacteristic
276#2295C2212yes—
277#2295C2212yes—
278C2×#389C2212yes—
279C2×#389C2214yes—
280C2×#389C2212yes—
281C2×#389C2212yes—
282C2×#389C2212yes—
283#2290C2214yes—
284C2×#387C2214yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2283C2212yes—
288#2283C2212yes—
289#2283C2211yescharacteristic
290C2×#382C2212yes—
291#2275C2212yes—
292#2275C2212yes—
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#554—28no—
302#554—216no—
303#547—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×#121C2312yes—
329C4×#41—28no—
330C4×#41—28no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C22×C4⋊C4C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380C22×C42C2314yes—
381#401C2314yes—
382#401C2314yes—
383#401C2314yes—
384#401C2312yes—
385#401C2314yes—
386#400C2314yes—
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#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#393C2312yes—
456#393C2314yes—
457#393C2314yes—
458#393C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#390C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#383C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#382C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#381C2312yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—24no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853#126—44no—
854#126—84no—
855#126—84no—
856#125—28no—
857#125—28no—
858#125—28no—
859#123—28no—
860#123—28no—
861C22⋊Q8—216no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—216no—
867C22⋊Q8—216no—
868C22⋊Q8—216no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—82no—
872#121—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—48no—
880C4×Q8—44no—
881C4×Q8—84no—
882C4×Q8—82no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4#4118yes—
898C4×D4#4118yes—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—28no—
903#117—28no—
904#117—42no—
905#117—44no—
906#117—82no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—216no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—48no—
915C2×C4⋊C4—84no—
916C2×C4⋊C4—84no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C42—28no—
1025C2×C42—28no—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—44no—
1029C2×C42—84no—
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2511yescharacteristic
1160C24C2511yescharacteristic
1161C24C2512yes—
1162#41—416no—
1163#41—416no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—28no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—42no—
1178C2×Q8—44no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4C2×#4114yes—
1192C2×D4C2×#4114yes—
1193C2×D42−1+414yes—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—28no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4C2×#4118yes—
1244C22×C4C2×#4118yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—22no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—41no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4C2×#4114yes—
1349C4⋊C4C2×#4114yes—
1350C4⋊C42−1+414yes—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4C2×#4118yes—
1383C22⋊C4C2×#4118yes—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—24no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—24no—
1392C42—22no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—24no—
1406C42—42no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—42no—
1414C42—41no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—41no—
1419C42—44no—
1420C42—44no—
1421C42C2×#4114yes—
1422C42C2×#4114yes—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23C22×#4114yes—
1442C23C22×#4114yes—
1443C23C2×2−1+414yes—
1444C23C2611yescharacteristic
1445Q8—48no—
1446Q8—44no—
1447Q8—44no—
1448Q8—44no—
1449Q8—84no—
1450Q8—88no—
1451D4—44no—
1452D4—48no—
1453D4—48no—
1454D4#556116yes—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—216no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—48no—
1540C2×C4—44no—
1541C2×C4—416no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—84no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—88no—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4114yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C2×2−1+414yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—24no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22C2×#55618yes—
1589C22C23×#4111yescharacteristic
1590C22C23×#4111yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)11yescharacteristic
1596C4—24no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—24no—
1601C4—22no—
1602C4—24no—
1603C4—44no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—44no—
1610C4—42no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—42no—
1619C4—44no—
1620C4—41no—
1621C4—42no—
1622C4—41no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4C2×#55614yes—
1627C4#351514yes—
1628C2—28no—
1629C2—81no—
1630C2—81no—
1631C2C22×#55611yescharacteristic
1632C2C2×#351511yescharacteristic
1633C2#6278111yescharacteristic
1634C2#6295111yescharacteristic
1635C2#6300011yescharacteristic
1636C2#6300811yescharacteristic
1637C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59870C2semidirect
2. #59855C2semidirect
3. #59709C2semidirect
4. #59706C2semidirect
5. #59249C2semidirect
6. #59245C2semidirect
7. #59240C2semidirect
8. #59240C2semidirect
9. #45183C2semidirect
10. #44983C2semidirect
11. #43600C2semidirect
12. #43248C2semidirect
13. #39762C2semidirect
14. #39759C2semidirect
15. #39157C2semidirect
16. #39155C2semidirect
17. #38243C2semidirect
18. #38232C2semidirect
19. #36489C2semidirect
20. #36480C2semidirect
21. #36275C2semidirect
22. #36275C2semidirect
23. #36261C2semidirect
24. #36241C2semidirect
25. #36210C2semidirect
26. #36177C2semidirect
28. #35888C2semidirect
29. #34803C2semidirect
30. C2×#2509C2semidirect
31. #34332C2semidirect
32. #34332C2semidirect
33. #34191C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#598552
#597092
#597062
#592492
#592452
#592402
#451832
#449832
#436002
#432482
#397622
#397592
#391572
#391552
#382432
#382322
#364892
#364802
#362752
#362612
#362412
#362102
#361772
#360422
#358882
#348032
C2×#25092
#343322
#341912
C4×#5472
#341272