Finite Group Databasebeta

← #7693319

Subgroups — #7693319

Order 512.

4779 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59745C214yesmaximal, complemented
2#59684C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic
4#59658C212yesmaximal, complemented
5#59640C212yesmaximal, complemented
6#59449C212yesmaximal, complemented
7#59436C211yesmaximal, characteristic, complemented
8#59427C211yesmaximal, characteristic, complemented
9#45301C212yesmaximal, complemented
10#45062C212yesmaximal, complemented
11#44421C214yesmaximal, complemented
12#43331C214yesmaximal, complemented
13#40026C212yesmaximal, complemented
14#40022C212yesmaximal, complemented
15#39205C214yesmaximal, complemented
16#39202C211yesmaximal, characteristic, complemented
17#39201C211yesmaximal, characteristic, complemented
18#39188C212yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36597C211yesmaximal, characteristic, complemented
21#36591C212yesmaximal, complemented
22#36556C211yesmaximal, characteristic, complemented
23#36534C211yesmaximal, characteristic, complemented
24#36496C211yesmaximal, characteristic, complemented
25#36253C212yesmaximal, complemented
26#36252C212yesmaximal, complemented
27#35978C212yesmaximal, complemented
28#35800C212yesmaximal, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34918C212yesmaximal, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34319C212yesmaximal, complemented
33#34317C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#553C2212yes—
41#2864C2212yes—
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2861C2212yes—
45#2858C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2853C2214yes—
49#2803C2214yes—
50#2803C2214yes—
51#2803C2214yes—
52#2801C2214yes—
53#2800C2214yes—
54#2797C2214yes—
55#2790C2214yes—
56#2783C2214yes—
57#2777C2214yes—
58#2777C2214yes—
59#2772C2214yes—
60#2765C2214yes—
61#2753C2214yes—
62#2752C2214yes—
63#2745C2214yes—
64#2716C2214yes—
65#2714C2214yes—
66#2712C2214yes—
67#2711C2214yes—
68#2710C2214yes—
69#2701C2214yes—
70#2654C2214yes—
71#2648C2214yes—
72#2624C2212yes—
73#2624C2212yes—
74#2599C2214yes—
75#2597C2214yes—
76#2597C2214yes—
77#2595C2214yes—
78#2595C2214yes—
79#2595C2214yes—
80#2593C2212yes—
81#2593C2212yes—
82#2592C2212yes—
83#2592C2212yes—
84#2592C2212yes—
85#2588C2214yes—
86#2582C2211yescharacteristic
87#2580C2212yes—
88#2580C2212yes—
89#2578C2214yes—
90#2576C2214yes—
91#2575C2214yes—
92#2571C2211yescharacteristic
93#2570C2212yes—
94#2568C2212yes—
95#2567C2211yescharacteristic
96#2566C2212yes—
97#2565C2212yes—
98#2563C2211yescharacteristic
99#2560C2214yes—
100#2560C2214yes—
101#2558C2214yes—
102#2554C2214yes—
103#2554C2214yes—
104#2548C2212yes—
105#2548C2212yes—
106#2548C2211yescharacteristic
107#2548C2211yescharacteristic
108#2547C2211yescharacteristic
109#2546C2211yescharacteristic
110#2545C2212yes—
111#2545C2212yes—
112#2544C2212yes—
113#2544C2212yes—
114#2544C2212yes—
115#2544C2212yes—
116#2541C2211yescharacteristic
117#2541C2211yescharacteristic
118#2541C2212yes—
119#2536C2212yes—
120#2536C2212yes—
121#2535C2212yes—
122#2532C2214yes—
123#2532C2214yes—
124#2529C2214yes—
125#2527C2214yes—
126#2526C2214yes—
127#2520C2214yes—
128#2519C2214yes—
129#2518C2214yes—
130#2518C2214yes—
131#2518C2214yes—
132#2517C2214yes—
133#2516C2214yes—
134#2516C2214yes—
135#2516C2214yes—
136#2516C2214yes—
137#2515C2214yes—
138#2514C2212yes—
139#2513C2212yes—
140#2513C2212yes—
141#2513C2212yes—
142#2513C2212yes—
143#2513C2214yes—
144#2513C2211yescharacteristic
145#2513C2211yescharacteristic
146#2512C2212yes—
147#2511C2212yes—
148#2509C2212yes—
149#2508C2212yes—
150#2500C2214yes—
151#2497C2212yes—
152#2495C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2491C2212yes—
156#2491C2214yes—
157#2490C2212yes—
158#2476C2214yes—
159#2471C2214yes—
160#2470C2214yes—
161#2461C2214yes—
162#2461C2214yes—
163#2460C2214yes—
164#2459C2214yes—
165#2459C2214yes—
166#2458C2214yes—
167#2456C2214yes—
168#2448C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2448C2211yescharacteristic
172#2448C2212yes—
173#2448C2214yes—
174#2448C2211yescharacteristic
175#2447C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2446C2212yes—
180#2445C2212yes—
181#2445C2212yes—
182#2442C2212yes—
183#2439C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2426C2212yes—
187#2426C2212yes—
188#2422C2212yes—
189#2420C2212yes—
190#2420C2214yes—
191#2416C2212yes—
192#2414C2212yes—
193#2398C2214yes—
194#2395C2212yes—
195#2395C2214yes—
196#2395C2212yes—
197#2374C2214yes—
198#2374C2214yes—
199#2373C2214yes—
200#2373C2214yes—
201#2370C2212yes—
202#2370C2211yescharacteristic
203#2370C2212yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2369C2211yescharacteristic
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2214yes—
211#2367C2212yes—
212#2367C2212yes—
213#2366C2212yes—
214#2366C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2363C2214yes—
220#2363C2212yes—
221#2363C2212yes—
222#2362C2212yes—
223#2362C2214yes—
224#2361C2212yes—
225#2361C2212yes—
226#2360C2212yes—
227#2357C2212yes—
228#2357C2212yes—
229#2357C2214yes—
230#2357C2212yes—
231#2357C2212yes—
232#2356C2212yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2351C2212yes—
243#2351C2211yescharacteristic
244#2351C2211yescharacteristic
245Q8×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247#2346C2212yes—
248#2346C2212yes—
249#2344C2212yes—
250#2344C2212yes—
251#2334C2214yes—
252#2334C2214yes—
253#2333C2214yes—
254#2332C2214yes—
255#2324C2212yes—
256#2324C2212yes—
257#2323C2212yes—
258#2323C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×#124C2212yes—
280C4×#123C2214yes—
281C4×#123C2214yes—
282#2295C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2290C2214yes—
288#2290C2214yes—
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2212yes—
299#559—28no—
300#557—28no—
301#556—28no—
302#554—28no—
303#553—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C2×#117C2314yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C42C2314yes—
389#401C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2312yes—
691#383C2314yes—
692#383C2314yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806#376C2314yes—
807#376C2314yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—44no—
844#127—24no—
845#127—44no—
846#127—42no—
847#127—44no—
848#126—216no—
849#126—216no—
850#125—28no—
851#125—24no—
852#125—28no—
853#125—28no—
854#125#4118yes—
855#124—28no—
856#124—28no—
857#124—28no—
858#124—44no—
859#124—44no—
860#124—42no—
861#124—44no—
862#124—42no—
863#124—44no—
864#124—44no—
865#124—48no—
866#124—82no—
867#123—216no—
868#123—216no—
869#123—84no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—216no—
873#121—216no—
874#121—28no—
875#121—28no—
876#121—44no—
877#121—44no—
878#121—84no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×Q8—42no—
889C4×Q8—42no—
890C4×Q8—42no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8—42no—
897C4×Q8—82no—
898C4×Q8#4118yes—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—84no—
914C4×D4—82no—
915#117—28no—
916#117—28no—
917#117—44no—
918#117—44no—
919#117—84no—
920#117—84no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C42—84no—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2512yes—
1164C24C2512yes—
1165C24C2514yes—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—41no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8C2×#4114yes—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—41no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—41no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4C2×#4114yes—
1334C4⋊C4C2×#4114yes—
1335C4⋊C4C2×#4114yes—
1336C4⋊C4C2×#4118yes—
1337C4⋊C4C2×#4118yes—
1338C4⋊C4C2×#4118yes—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C42—28no—
1393C42—28no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—42no—
1416C42—42no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42—44no—
1421C42—41no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—41no—
1429C42—41no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—41no—
1435C42—44no—
1436C42—42no—
1437C42—41no—
1438C42C2×#4114yes—
1439C42C2×#4118yes—
1440C42C2×#4114yes—
1441C23—22no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—24no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23C2611yescharacteristic
1463Q8—28no—
1464Q8—44no—
1465Q8—48no—
1466Q8—44no—
1467Q8—48no—
1468Q8—84no—
1469D4—48no—
1470D4—44no—
1471D4—44no—
1472D4—48no—
1473D4—88no—
1474D4—84no—
1475D4—84no—
1476D4—88no—
1477D4—88no—
1478D4—84no—
1479D4—164no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—88no—
1568C2×C4—88no—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4114yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C22—42no—
1584C22—42no—
1585C22—44no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—44no—
1604C22C23×#4111yescharacteristic
1605C22C23×#4111yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22H(7,𝔽2)11yescharacteristic
1611C4—24no—
1612C4—22no—
1613C4—24no—
1614C4—22no—
1615C4—22no—
1616C4—24no—
1617C4—22no—
1618C4—24no—
1619C4—41no—
1620C4—41no—
1621C4—42no—
1622C4—44no—
1623C4—44no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—42no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4#348014yes—
1642C4#352414yes—
1643C2—82no—
1644C2—82no—
1645C2—84no—
1646C2C2×#348011yescharacteristic
1647C2C2×#352411yescharacteristic
1648C2#6281611yescharacteristic
1649C2#6293811yescharacteristic
1650C2#6301011yescharacteristic
1651C2#6301011yescharacteristic
1652C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59680C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59745C2semidirect
2. #59684C2semidirect
4. #59658C2semidirect
5. #59640C2semidirect
6. #59449C2semidirect
7. #59436C2semidirect
8. #59427C2semidirect
9. #45301C2semidirect
10. #45062C2semidirect
11. #44421C2semidirect
12. #43331C2semidirect
13. #40026C2semidirect
14. #40022C2semidirect
15. #39205C2semidirect
16. #39202C2semidirect
17. #39201C2semidirect
18. #39188C2semidirect
19. #36609C2semidirect
20. #36597C2semidirect
21. #36591C2semidirect
22. #36556C2semidirect
23. #36534C2semidirect
24. #36496C2semidirect
25. #36253C2semidirect
26. #36252C2semidirect
27. #35978C2semidirect
28. #35800C2semidirect
29. #34954C2semidirect
30. #34918C2semidirect
31. #34322C2semidirect
32. #34319C2semidirect
33. #34317C2semidirect
34. C4×#557C2semidirect
35. C4×#559C2semidirect

Maximal subgroups

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

subgroupindex
#597452
#596842
#596802
#596582
#596402
#594492
#594362
#594272
#453012
#450622
#444212
#433312
#400262
#400222
#392052
#392022
#392012
#391882
#366092
#365972
#365912
#365562
#365342
#364962
#362532
#362522
#359782
#358002
#349542
#349182
#343222
#343192
#343172
C4×#5572
C4×#5592