Finite Group Databasebeta

← #7688582

Subgroups — #7688582

Order 512.

4677 conjugacy classes of subgroups.

The subgroup lattice has 1627 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59506C212yesmaximal, complemented
2#59456C211yesmaximal, characteristic, complemented
3#59448C212yesmaximal, complemented
4#59333C212yesmaximal, complemented
5#59305C211yesmaximal, characteristic, complemented
6#59298C212yesmaximal, complemented
7#59257C211yesmaximal, characteristic, complemented
8#59209C212yesmaximal, complemented
9#59031C212yesmaximal
10#44518C214yesmaximal, complemented
11#43706C214yesmaximal, complemented
12#43620C214yesmaximal, complemented
13#39914C212yesmaximal, complemented
14#39907C212yesmaximal, complemented
15#39008C212yesmaximal, complemented
16#39003C212yesmaximal, complemented
17#38929C212yesmaximal, complemented
18#38929C212yesmaximal, complemented
19#36535C211yesmaximal, characteristic, complemented
20#36449C211yesmaximal, characteristic, complemented
21#36375C212yesmaximal, complemented
22#36307C212yesmaximal, complemented
23#36189C211yesmaximal, characteristic, complemented
24#36177C211yesmaximal, characteristic, complemented
25#36177C211yesmaximal, characteristic, complemented
26#36165C211yesmaximal, characteristic, complemented
27#36116C211yesmaximal, characteristic, complemented
28#36043C214yesmaximal, complemented
29#34948C211yesmaximal, characteristic, complemented
30#34945C211yesmaximal, characteristic, complemented
31C2×#2571C211yesmaximal, characteristic, complemented
32#34229C212yesmaximal, complemented
33#34191C212yesmaximal, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic
36C2×#552C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#529C2212yes—
39C2×C4×#41C2212yes—
40#2864C2212yes—
41#2863C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2855C2212yes—
47#2855C2212yes—
48#2851C2212yes—
49#2790C2214yes—
50#2776C2214yes—
51#2770C2214yes—
52#2769C2214yes—
53#2769C2214yes—
54#2767C2214yes—
55#2767C2214yes—
56#2765C2214yes—
57#2765C2214yes—
58#2762C2214yes—
59#2758C2214yes—
60#2755C2214yes—
61#2750C2214yes—
62#2746C2214yes—
63#2744C2214yes—
64#2744C2214yes—
65#2743C2214yes—
66#2739C2214yes—
67#2738C2214yes—
68#2695C2214yes—
69#2689C2214yes—
70#2655C2214yes—
71#2652C2214yes—
72#2646C2214yes—
73#2606C2214yes—
74#2590C2214yes—
75#2590C2214yes—
76#2588C2214yes—
77#2585C2214yes—
78#2584C2212yes—
79#2581C2212yes—
80#2579C2214yes—
81#2578C2214yes—
82#2577C2214yes—
83#2575C2214yes—
84#2573C2214yes—
85#2573C2214yes—
86#2571C2212yes—
87#2571C2211yescharacteristic
88#2571C2211yescharacteristic
89#2571C2211yescharacteristic
90#2571C2212yes—
91#2571C2211yescharacteristic
92#2571C2211yescharacteristic
93#2571C2212yes—
94#2571C2214yes—
95#2571C2212yes—
96#2570C2212yes—
97#2570C2212yes—
98#2570C2212yes—
99#2570C2212yes—
100#2569C2214yes—
101#2568C2211yescharacteristic
102#2566C2212yes—
103#2565C2212yes—
104#2565C2212yes—
105#2552C2211yescharacteristic
106#2552C2211yescharacteristic
107#2550C2212yes—
108#2547C2211yescharacteristic
109#2538C2211yescharacteristic
110#2533C2214yes—
111#2533C2214yes—
112#2533C2214yes—
113#2533C2214yes—
114#2533C2214yes—
115#2530C2214yes—
116#2530C2214yes—
117#2528C2214yes—
118#2528C2214yes—
119#2524C2214yes—
120#2515C2214yes—
121#2514C2212yes—
122#2514C2212yes—
123#2514C2212yes—
124#2514C2212yes—
125#2514C2212yes—
126#2511C2212yes—
127#2509C2212yes—
128#2509C2212yes—
129#2509C2212yes—
130#2508C2212yes—
131#2508C2212yes—
132#2508C2212yes—
133#2507C2212yes—
134#2507C2212yes—
135#2507C2212yes—
136#2505C2214yes—
137#2505C2214yes—
138#2503C2212yes—
139#2503C2212yes—
140#2503C2212yes—
141#2502C2212yes—
142#2497C2212yes—
143#2497C2212yes—
144#2496C2212yes—
145#2495C2212yes—
146#2495C2212yes—
147#2495C2212yes—
148#2494C2212yes—
149#2493C2214yes—
150#2493C2214yes—
151#2493C2214yes—
152#2493C2214yes—
153#2493C2214yes—
154#2493C2214yes—
155#2487C2212yes—
156#2486C2212yes—
157#2486C2214yes—
158#2485C2212yes—
159#2484C2214yes—
160#2478C2214yes—
161#2478C2214yes—
162#2475C2214yes—
163#2470C2214yes—
164#2466C2214yes—
165#2462C2214yes—
166#2453C2212yes—
167#2453C2212yes—
168#2451C2212yes—
169#2447C2212yes—
170#2447C2212yes—
171#2442C2212yes—
172#2442C2212yes—
173#2442C2212yes—
174#2442C2212yes—
175#2442C2212yes—
176#2442C2212yes—
177#2441C2212yes—
178#2438C2214yes—
179#2427C2212yes—
180#2423C2212yes—
181#2421C2212yes—
182#2421C2212yes—
183#2420C2212yes—
184#2419C2214yes—
185#2419C2214yes—
186#2419C2214yes—
187#2417C2212yes—
188#2417C2212yes—
189#2415C2212yes—
190#2406C2214yes—
191#2402C2214yes—
192#2401C2214yes—
193C2×#400C2214yes—
194#2373C2212yes—
195#2371C2212yes—
196#2370C2212yes—
197#2370C2211yescharacteristic
198#2365C2211yescharacteristic
199#2365C2211yescharacteristic
200#2365C2211yescharacteristic
201#2362C2212yes—
202#2362C2211yescharacteristic
203#2361C2211yescharacteristic
204#2361C2211yescharacteristic
205#2361C2212yes—
206#2360C2211yescharacteristic
207#2360C2212yes—
208#2360C2212yes—
209#2360C2212yes—
210#2359C2214yes—
211#2359C2214yes—
212#2359C2212yes—
213#2359C2212yes—
214#2359C2212yes—
215#2357C2212yes—
216#2356C2212yes—
217#2356C2212yes—
218#2356C2211yescharacteristic
219#2355C2212yes—
220#2355C2211yescharacteristic
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2354C2211yescharacteristic
224#2352C2212yes—
225#2352C2212yes—
226#2352C2211yescharacteristic
227#2352C2212yes—
228#2351C2212yes—
229#2349C2212yes—
230#2349C2212yes—
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236#2346C2214yes—
237#2346C2211yescharacteristic
238#2346C2214yes—
239#2345C2212yes—
240#2345C2212yes—
241#2344C2212yes—
242#2344C2214yes—
243#2344C2211yescharacteristic
244#2344C2211yescharacteristic
245#2344C2211yescharacteristic
246#2343C2214yes—
247#2343C2212yes—
248#2343C2214yes—
249#2343C2214yes—
250#2339C2212yes—
251#2339C2214yes—
252#2334C2214yes—
253#2334C2214yes—
254#2320C2214yes—
255#2318C2214yes—
256#2318C2214yes—
257#2318C2214yes—
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×#125C2212yes—
261C4×#125C2212yes—
262C4×#125C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#126C2212yes—
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×#123C2212yes—
273C4×#123C2212yes—
274C4×#123C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277#2296C2212yes—
278#2295C2212yes—
279C2×#389C2212yes—
280C2×#389C2212yes—
281#2285C2211yescharacteristic
282#2285C2212yes—
283C2×#384C2211yescharacteristic
284#2283C2212yes—
285#2283C2212yes—
286#2283C2212yes—
287C2×#382C2212yes—
288C2×#382C2212yes—
289C2×#382C2212yes—
290#2275C2214yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#552—28no—
301#547—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304#529—216no—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#123C2314yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C4×#41—216no—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2314yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2314yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C42C2312yes—
371C22×C42C2312yes—
372C22×C42C2312yes—
373C22×C42C2312yes—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376#401C2314yes—
377#401C2314yes—
378#401C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
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#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
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#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2312yes—
465#390C2311yescharacteristic
466#389C2311yescharacteristic
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2311yescharacteristic
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#387C2312yes—
543#387C2312yes—
544#387C2312yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2312yes—
551#387C2312yes—
552#387C2314yes—
553#387C2312yes—
554#387C2312yes—
555#387C2312yes—
556#387C2312yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2312yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#386C2312yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2314yes—
636#385C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#384C2311yescharacteristic
642#384C2311yescharacteristic
643#384C2312yes—
644#384C2312yes—
645#384C2312yes—
646#384C2312yes—
647#384C2311yescharacteristic
648#384C2312yes—
649#384C2311yescharacteristic
650#383C2312yes—
651#383C2314yes—
652#383C2314yes—
653#383C2314yes—
654#383C2314yes—
655#383C2314yes—
656#383C2314yes—
657#383C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2312yes—
662#382C2311yescharacteristic
663#382C2312yes—
664#382C2312yes—
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2312yes—
670#382C2312yes—
671#382C2314yes—
672#382C2314yes—
673#382C2314yes—
674#382C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2314yes—
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#381C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2314yes—
686#381C2312yes—
687#381C2314yes—
688#381C2312yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
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⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797#376C2314yes—
798#376C2312yes—
799#376C2314yes—
800#376C2314yes—
801#376C2312yes—
802#376C2312yes—
803C2×#95C2312yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C2×#41—28no—
815C2×#41—28no—
816C2×#41—44no—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2414yes—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844#126—216no—
845#126—28no—
846#125—28no—
847#125—28no—
848#125—24no—
849#125—44no—
850#125—44no—
851#124—28no—
852#123—216no—
853#123—28no—
854#123—28no—
855#123—28no—
856C22⋊Q8—28no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—28no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—24no—
863#121#4118yes—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—216no—
875C4×D4—24no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—48no—
886C4×D4#4118yes—
887#117—24no—
888#117—28no—
889#117—28no—
890#117—28no—
891#117—216no—
892#117—28no—
893#117—44no—
894#117—42no—
895#117—44no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—42no—
903C2×C4⋊C4—42no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—48no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C42—28no—
1017C2×C42—28no—
1018C2×C42—28no—
1019C2×C42—28no—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152C24C2512yes—
1153C24C2511yescharacteristic
1154C24C2511yescharacteristic
1155#41—432no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—42no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4C2×#4114yes—
1175C2×D4C2×#4114yes—
1176C2×D4C2×#4118yes—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4C2×#4114yes—
1229C22×C4C2×#4114yes—
1230C22×C4C2×#4114yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—41no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4C2×#4114yes—
1338C4⋊C4C2×#4114yes—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—22no—
1356C22⋊C4—24no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—41no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4C2×#4114yes—
1369C22⋊C4C2×#4114yes—
1370C22⋊C4C2×#4118yes—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—28no—
1386C42—24no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—41no—
1399C42—42no—
1400C42—44no—
1401C42—42no—
1402C42—42no—
1403C42—44no—
1404C42—42no—
1405C42—42no—
1406C42—44no—
1407C42—41no—
1408C42—44no—
1409C42—42no—
1410C42—44no—
1411C42C2×#4114yes—
1412C422−1+414yes—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23—22no—
1428C23—21no—
1429C23C22×#4114yes—
1430C23C22×#4112yes—
1431C23C22×#4112yes—
1432C23C22×#4112yes—
1433C23#58512yes—
1434C23C2611yescharacteristic
1435Q8—48no—
1436Q8—44no—
1437Q8—48no—
1438D4—216no—
1439D4—28no—
1440D4—28no—
1441D4—48no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—28no—
1457C2×C4—28no—
1458C2×C4—28no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—44no—
1529C2×C4—48no—
1530C2×C4—48no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—48no—
1534C2×C4—44no—
1535C2×C4—84no—
1536C2×C4—82no—
1537C2×C4—84no—
1538C2×C4—84no—
1539C2×C4—84no—
1540C2×C4—88no—
1541C2×C4—88no—
1542C2×C4—164no—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4112yes—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4114yes—
1549C2×C4C22×#4112yes—
1550C2×C4C22×#4112yes—
1551C2×C4C2×2−1+412yes—
1552C2×C4C2×2−1+412yes—
1553C2×C4C2×2−1+412yes—
1554C2×C4#58512yes—
1555C2×C4#58512yes—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—24no—
1564C22—22no—
1565C22—24no—
1566C22—22no—
1567C22—24no—
1568C22—42no—
1569C22—41no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22—41no—
1575C22—42no—
1576C22#347514yes—
1577C22C23×#4111yescharacteristic
1578C22C23×#4111yescharacteristic
1579C22C22×2−1+411yescharacteristic
1580C22C2×#58511yescharacteristic
1581C22C2×#58511yescharacteristic
1582C22C2×#58511yescharacteristic
1583C222−1+611yescharacteristic
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—24no—
1591C4—42no—
1592C4—41no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—44no—
1597C4—42no—
1598C4—42no—
1599C4—41no—
1600C4—44no—
1601C4—44no—
1602C4—42no—
1603C4—42no—
1604C4—41no—
1605C4—42no—
1606C4—44no—
1607C4—42no—
1608C4—41no—
1609C4—41no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4#351514yes—
1615C4#351514yes—
1616C2—24no—
1617C2—42no—
1618C2—44no—
1619C2C2×#347511yescharacteristic
1620C2C2×#351511yescharacteristic
1621C2C2×#351511yescharacteristic
1622C2#6292811yescharacteristic
1623C2#6300911yescharacteristic
1624C2#6300911yescharacteristic
1625C2#6303011yescharacteristic
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. #59506C2semidirect
2. #59456C2semidirect
3. #59448C2semidirect
4. #59333C2semidirect
5. #59305C2semidirect
6. #59298C2semidirect
7. #59257C2semidirect
8. #59209C2semidirect
10. #44518C2semidirect
11. #43706C2semidirect
12. #43620C2semidirect
13. #39914C2semidirect
14. #39907C2semidirect
15. #39008C2semidirect
16. #39003C2semidirect
17. #38929C2semidirect
18. #38929C2semidirect
19. #36535C2semidirect
20. #36449C2semidirect
21. #36375C2semidirect
22. #36307C2semidirect
23. #36189C2semidirect
24. #36177C2semidirect
25. #36177C2semidirect
26. #36165C2semidirect
27. #36116C2semidirect
28. #36043C2semidirect
29. #34948C2semidirect
30. #34945C2semidirect
31. C2×#2571C2semidirect
32. #34229C2semidirect
33. #34191C2semidirect
34. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#595062
#594562
#594482
#593332
#593052
#592982
#592572
#592092
#590312
#445182
#437062
#436202
#399142
#399072
#390082
#390032
#389292
#365352
#364492
#363752
#363072
#361892
#361772
#361652
#361162
#360432
#349482
#349452
C2×#25712
#342292
#341912
C4×#5522
C4×#5472