Finite Group Databasebeta

← #7987179

Subgroups — #7987179

Order 512.

4397 conjugacy classes of subgroups.

The subgroup lattice has 1615 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59659C211yesmaximal, characteristic, complemented
2#59655C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic
4#59630C212yesmaximal, complemented
5#59247C212yesmaximal, complemented
6#51737C214yesmaximal, complemented
7#51733C214yesmaximal, complemented
8#45923C214yesmaximal, complemented
9#45410C212yesmaximal, complemented
10#45219C212yesmaximal, complemented
11#45029C212yesmaximal, complemented
12#45017C212yesmaximal, complemented
13#42784C212yesmaximal, complemented
14#42781C212yesmaximal, complemented
15#42588C212yesmaximal, complemented
16#42583C212yesmaximal, complemented
17#39763C211yesmaximal, characteristic, complemented
18#39761C211yesmaximal, characteristic, complemented
19#39505C211yesmaximal, characteristic, complemented
20#39285C214yesmaximal, complemented
21#39054C212yesmaximal, complemented
22#38978C211yesmaximal, characteristic, complemented
23#38936C212yesmaximal, complemented
24#36563C211yesmaximal, characteristic, complemented
25#36477C211yesmaximal, characteristic, complemented
26#36420C212yesmaximal, complemented
27#36409C212yesmaximal, complemented
28#36174C211yesmaximal, characteristic, complemented
29#35213C212yesmaximal, complemented
30#35162C212yesmaximal, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34918C211yesmaximal, characteristic, complemented
33#34491C211yesmaximal, characteristic, complemented
34#34484C211yesmaximal, characteristic, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39#2868C2211yescharacteristic
40#2865C2214yes—
41#2863C2214yes—
42#2863C2214yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2855C2212yes—
46#2850C2212yes—
47#2830C2214yes—
48#2829C2214yes—
49#2800C2214yes—
50#2800C2214yes—
51#2800C2214yes—
52#2795C2214yes—
53#2795C2214yes—
54#2793C2214yes—
55#2793C2214yes—
56#2786C2214yes—
57#2785C2214yes—
58#2783C2214yes—
59#2781C2214yes—
60#2777C2214yes—
61#2777C2214yes—
62#2775C2214yes—
63#2775C2214yes—
64#2772C2214yes—
65#2772C2214yes—
66#2767C2214yes—
67#2757C2214yes—
68#2756C2214yes—
69#2751C2214yes—
70#2740C2214yes—
71#2731C2214yes—
72#2731C2214yes—
73#2730C2214yes—
74#2729C2214yes—
75#2716C2214yes—
76#2710C2214yes—
77#2702C2214yes—
78#2700C2214yes—
79#2700C2214yes—
80#2691C2214yes—
81#2686C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2653C2214yes—
85#2652C2214yes—
86#2644C2214yes—
87#2644C2212yes—
88#2641C2212yes—
89#2640C2212yes—
90#2620C2212yes—
91#2620C2214yes—
92#2612C2214yes—
93#2612C2214yes—
94#2608C2214yes—
95#2608C2214yes—
96#2607C2214yes—
97#2604C2214yes—
98#2597C2212yes—
99#2596C2214yes—
100#2595C2214yes—
101#2595C2212yes—
102#2592C2214yes—
103#2592C2211yescharacteristic
104#2587C2214yes—
105#2582C2211yescharacteristic
106#2582C2212yes—
107#2580C2211yescharacteristic
108#2578C2214yes—
109#2573C2214yes—
110#2573C2212yes—
111#2573C2212yes—
112#2572C2214yes—
113#2571C2214yes—
114#2571C2211yescharacteristic
115#2570C2212yes—
116#2570C2211yescharacteristic
117#2568C2211yescharacteristic
118#2567C2212yes—
119#2566C2212yes—
120#2552C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2550C2212yes—
124#2547C2211yescharacteristic
125#2545C2214yes—
126#2544C2211yescharacteristic
127#2540C2212yes—
128#2538C2211yescharacteristic
129#2538C2211yescharacteristic
130#2538C2211yescharacteristic
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic
133#2537C2211yescharacteristic
134#2533C2214yes—
135#2532C2214yes—
136#2532C2214yes—
137#2532C2214yes—
138#2531C2214yes—
139#2530C2214yes—
140#2528C2214yes—
141#2527C2214yes—
142#2527C2214yes—
143#2526C2214yes—
144#2523C2214yes—
145#2518C2214yes—
146#2518C2214yes—
147#2516C2212yes—
148#2514C2211yescharacteristic
149#2514C2211yescharacteristic
150#2513C2212yes—
151#2513C2212yes—
152#2513C2211yescharacteristic
153#2512C2212yes—
154#2511C2212yes—
155#2511C2211yescharacteristic
156#2509C2212yes—
157#2507C2212yes—
158#2507C2212yes—
159#2500C2212yes—
160#2499C2212yes—
161#2499C2212yes—
162#2497C2212yes—
163#2497C2212yes—
164#2496C2212yes—
165#2495C2212yes—
166#2495C2212yes—
167#2494C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2491C2212yes—
172#2491C2212yes—
173#2491C2212yes—
174#2491C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2477C2214yes—
182#2470C2214yes—
183#2466C2214yes—
184#2459C2214yes—
185#2458C2212yes—
186#2453C2212yes—
187#2452C2212yes—
188#2451C2212yes—
189#2451C2212yes—
190#2448C2212yes—
191#2447C2211yescharacteristic
192#2447C2211yescharacteristic
193#2447C2211yescharacteristic
194#2445C2211yescharacteristic
195#2441C2212yes—
196#2441C2212yes—
197#2440C2212yes—
198#2439C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2439C2212yes—
202#2429C2212yes—
203#2429C2214yes—
204#2429C2212yes—
205#2428C2212yes—
206#2426C2214yes—
207#2426C2212yes—
208#2426C2212yes—
209#2421C2212yes—
210#2421C2214yes—
211#2420C2214yes—
212#2420C2212yes—
213#2416C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2401C2212yes—
218#2401C2212yes—
219#2398C2212yes—
220#2395C2212yes—
221#2381C2214yes—
222#2378C2214yes—
223#2372C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2369C2212yes—
227#2369C2211yescharacteristic
228#2367C2212yes—
229#2367C2214yes—
230#2365C2212yes—
231#2365C2212yes—
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2357C2212yes—
241#2356C2212yes—
242#2356C2212yes—
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2352C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2212yes—
253#2346C2212yes—
254#2346C2212yes—
255#2346C2212yes—
256#2344C2212yes—
257#2331C2212yes—
258#2331C2212yes—
259#2331C2212yes—
260#2330C2212yes—
261#2330C2212yes—
262#2327C2214yes—
263#2323C2214yes—
264#2323C2212yes—
265#2320C2212yes—
266#2320C2212yes—
267#2320C2212yes—
268#2319C2212yes—
269#2316C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×#124C2211yescharacteristic
280C4×#124C2214yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2298C2214yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2283C2212yes—
293#2283C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2212yes—
299Q82—28no—
300#555—28no—
301#554—28no—
302C2×C4⋊Q8C2314yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322C2×#123C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2312yes—
369C22×C42C2312yes—
370#401C2312yes—
371#401C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2314yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#397C2312yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2312yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2314yes—
412#397C2312yes—
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#396C2314yes—
427#396C2314yes—
428#396C2312yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2312yes—
466#393C2314yes—
467#393C2314yes—
468#393C2312yes—
469#393C2314yes—
470#393C2314yes—
471#392C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
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#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2314yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2314yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2414yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C4⋊Q8—216no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—42no—
841C4⋊Q8—82no—
842C4⋊Q8#4118yes—
843#127—42no—
844#126—84no—
845#125—28no—
846#125—44no—
847#125—44no—
848#124—216no—
849#124—24no—
850#124—48no—
851#124—42no—
852#124—42no—
853#124—42no—
854#124—84no—
855#123—44no—
856C22⋊Q8—216no—
857C22⋊Q8—28no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—84no—
864#121—28no—
865#121—28no—
866#121—44no—
867#121—44no—
868#121—84no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—82no—
880C4×Q8—82no—
881C4×Q8—84no—
882C4×D4—28no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—84no—
893#117—28no—
894#117—28no—
895#117—44no—
896#117—48no—
897#117—44no—
898#117—44no—
899#117—44no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C42—28no—
1021C2×C42—44no—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2512yes—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—28no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—42no—
1160C2×Q8—41no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8C2×#4118yes—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—28no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2514yes—
1236C22×C4C2514yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—28no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—44no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4C2×#4118yes—
1313C4⋊C4C2×#4118yes—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C42—28no—
1365C42—24no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—28no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—42no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—41no—
1394C42—41no—
1395C42—44no—
1396C42—41no—
1397C42—41no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—41no—
1402C42C2×#4114yes—
1403C422−1+414yes—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23C2611yescharacteristic
1426Q8—48no—
1427Q8—44no—
1428Q8—44no—
1429Q8—44no—
1430Q8—44no—
1431Q8—88no—
1432Q8—164no—
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—88no—
1437D4—84no—
1438D4—84no—
1439D4—164no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—48no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—88no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4C22×#4118yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4C2×2−1+412yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22C23×#4111yescharacteristic
1566C22C22×2−1+411yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22H(7,𝔽2)11yescharacteristic
1572C4—28no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—44no—
1584C4—42no—
1585C4—41no—
1586C4—41no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—41no—
1595C4—42no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—44no—
1600C4—44no—
1601C4—41no—
1602C4#351814yes—
1603C4#352414yes—
1604C2—82no—
1605C2—82no—
1606C2—82no—
1607C2#6275211yescharacteristic
1608C2C2×#351811yescharacteristic
1609C2C2×#352411yescharacteristic
1610C2#6292911yescharacteristic
1611C2#6296611yescharacteristic
1612C2#6299211yescharacteristic
1613C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59652C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59659C2semidirect
2. #59655C2semidirect
4. #59630C2semidirect
5. #59247C2semidirect
6. #51737C2semidirect
7. #51733C2semidirect
8. #45923C2semidirect
9. #45410C2semidirect
10. #45219C2semidirect
11. #45029C2semidirect
12. #45017C2semidirect
13. #42784C2semidirect
14. #42781C2semidirect
15. #42588C2semidirect
16. #42583C2semidirect
17. #39763C2semidirect
18. #39761C2semidirect
19. #39505C2semidirect
20. #39285C2semidirect
21. #39054C2semidirect
22. #38978C2semidirect
23. #38936C2semidirect
24. #36563C2semidirect
25. #36477C2semidirect
26. #36420C2semidirect
27. #36409C2semidirect
28. #36174C2semidirect
29. #35213C2semidirect
30. #35162C2semidirect
31. #34945C2semidirect
32. #34918C2semidirect
33. #34491C2semidirect
34. #34484C2semidirect
35. C4×#555C2semidirect

Maximal subgroups

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

subgroupindex
#596592
#596552
#596522
#596302
#592472
#517372
#517332
#459232
#454102
#452192
#450292
#450172
#427842
#427812
#425882
#425832
#397632
#397612
#395052
#392852
#390542
#389782
#389362
#365632
#364772
#364202
#364092
#361742
#352132
#351622
#349452
#349182
#344912
#344842
C4×#5552