Finite Group Databasebeta

← #7693139

Subgroups — #7693139

Order 512.

4627 conjugacy classes of subgroups.

The subgroup lattice has 1607 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59640C211yesmaximal, characteristic
3#59585C212yesmaximal, complemented
4#59555C214yesmaximal, complemented
5#59451C211yesmaximal, characteristic, complemented
6#59448C212yesmaximal, complemented
7#59427C212yesmaximal, complemented
8#59082C212yesmaximal, complemented
9#45298C212yesmaximal, complemented
10#45294C212yesmaximal, complemented
11#44556C214yesmaximal, complemented
12#43300C214yesmaximal, complemented
13#40025C212yesmaximal, complemented
14#40020C212yesmaximal, complemented
15#39211C214yesmaximal, complemented
16#39143C212yesmaximal, complemented
17#38987C211yesmaximal, characteristic, complemented
18#38984C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36597C211yesmaximal, characteristic
21#36591C212yesmaximal, complemented
22#36538C211yesmaximal, characteristic, complemented
23#36508C211yesmaximal, characteristic, complemented
24#36485C212yesmaximal, complemented
25#36420C212yesmaximal, complemented
26#36115C211yesmaximal, characteristic
27#36055C212yesmaximal, complemented
28#35895C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34902C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34328C211yesmaximal, characteristic, complemented
33#34237C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#529C2212yes—
41#2865C2214yes—
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2861C2212yes—
45#2858C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2850C2212yes—
49#2803C2214yes—
50#2802C2214yes—
51#2800C2214yes—
52#2800C2214yes—
53#2795C2214yes—
54#2786C2214yes—
55#2783C2214yes—
56#2783C2214yes—
57#2780C2214yes—
58#2779C2214yes—
59#2779C2214yes—
60#2773C2214yes—
61#2767C2214yes—
62#2765C2214yes—
63#2762C2214yes—
64#2761C2214yes—
65#2757C2214yes—
66#2740C2214yes—
67#2739C2214yes—
68#2707C2214yes—
69#2674C2214yes—
70#2651C2214yes—
71#2649C2214yes—
72#2645C2212yes—
73#2644C2212yes—
74#2596C2214yes—
75#2596C2214yes—
76#2595C2214yes—
77#2595C2214yes—
78#2594C2214yes—
79#2594C2214yes—
80#2594C2214yes—
81#2592C2212yes—
82#2592C2212yes—
83#2592C2212yes—
84#2590C2214yes—
85#2587C2214yes—
86#2581C2212yes—
87#2580C2212yes—
88#2578C2214yes—
89#2577C2214yes—
90#2576C2214yes—
91#2575C2214yes—
92#2573C2212yes—
93#2573C2212yes—
94#2571C2211yescharacteristic
95#2570C2212yes—
96#2570C2212yes—
97#2568C2211yescharacteristic
98#2568C2212yes—
99#2568C2211yescharacteristic
100#2566C2212yes—
101#2565C2212yes—
102#2558C2214yes—
103#2558C2214yes—
104#2554C2214yes—
105#2554C2214yes—
106#2548C2211yescharacteristic
107#2548C2212yes—
108#2547C2212yes—
109#2547C2211yescharacteristic
110#2546C2212yes—
111#2546C2211yescharacteristic
112#2546C2211yescharacteristic
113#2545C2212yes—
114#2545C2212yes—
115#2545C2212yes—
116#2545C2212yes—
117#2545C2212yes—
118#2545C2212yes—
119#2544C2212yes—
120#2544C2212yes—
121#2542C2211yescharacteristic
122#2541C2211yescharacteristic
123#2538C2211yescharacteristic
124#2532C2214yes—
125#2532C2214yes—
126#2531C2214yes—
127#2531C2214yes—
128#2530C2214yes—
129#2526C2214yes—
130#2525C2214yes—
131#2519C2214yes—
132#2519C2214yes—
133#2519C2214yes—
134#2516C2214yes—
135#2516C2214yes—
136#2515C2214yes—
137#2515C2214yes—
138#2514C2212yes—
139#2514C2211yescharacteristic
140#2514C2211yescharacteristic
141#2513C2212yes—
142#2513C2212yes—
143#2513C2214yes—
144#2513C2212yes—
145#2513C2212yes—
146#2512C2212yes—
147#2511C2212yes—
148#2511C2212yes—
149#2510C2214yes—
150#2509C2212yes—
151#2507C2212yes—
152#2500C2212yes—
153#2499C2212yes—
154#2497C2214yes—
155#2495C2214yes—
156#2494C2212yes—
157#2493C2214yes—
158#2491C2212yes—
159#2489C2212yes—
160#2477C2214yes—
161#2475C2214yes—
162#2474C2214yes—
163#2471C2214yes—
164#2469C2214yes—
165#2467C2214yes—
166#2460C2214yes—
167#2459C2214yes—
168#2454C2212yes—
169#2451C2212yes—
170#2448C2212yes—
171#2448C2212yes—
172#2448C2214yes—
173#2448C2212yes—
174#2448C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2447C2211yescharacteristic
179#2447C2211yescharacteristic
180#2446C2212yes—
181#2446C2212yes—
182#2445C2212yes—
183#2439C2214yes—
184#2429C2212yes—
185#2429C2212yes—
186#2427C2212yes—
187#2426C2212yes—
188#2426C2212yes—
189#2426C2212yes—
190#2423C2212yes—
191#2421C2212yes—
192#2420C2212yes—
193#2401C2214yes—
194#2401C2212yes—
195#2401C2212yes—
196#2396C2214yes—
197#2373C2214yes—
198#2371C2214yes—
199#2370C2212yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2370C2211yescharacteristic
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2214yes—
213#2366C2211yescharacteristic
214#2366C2212yes—
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2365C2212yes—
218#2365C2212yes—
219#2365C2211yescharacteristic
220#2365C2211yescharacteristic
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2362C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2359C2214yes—
229#2357C2212yes—
230#2357C2214yes—
231#2357C2212yes—
232#2356C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2354C2212yes—
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2353C2214yes—
244#2351C2211yescharacteristic
245#2351C2211yescharacteristic
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248#2349C2212yes—
249#2347C2212yes—
250#2346C2214yes—
251#2343C2214yes—
252#2336C2214yes—
253#2335C2214yes—
254#2335C2214yes—
255#2335C2214yes—
256#2327C2212yes—
257#2326C2212yes—
258#2320C2212yes—
259#2319C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#126C2214yes—
273C4×#126C2214yes—
274C4×#126C2214yes—
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283#2298C2214yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2293C2212yes—
288#2283C2212yes—
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#559—28no—
300#557—28no—
301#557—28no—
302#556—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—216no—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2311yescharacteristic
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C22×C42C2312yes—
380#401C2314yes—
381#401C2312yes—
382#401C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#397C2312yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#392C2314yes—
458#391C2311yescharacteristic
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
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#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#383C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
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⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C43C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C4⋊Q8—28no—
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842#127—24no—
843#127—44no—
844#126—216no—
845#126—216no—
846#125—28no—
847#125—24no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125#4118yes—
852#124—28no—
853#124—28no—
854#124—28no—
855#124—28no—
856#124—42no—
857#124—44no—
858#124—44no—
859#124—44no—
860#124—44no—
861#124—42no—
862#124—48no—
863#123—216no—
864#123—216no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869#121—28no—
870#121—44no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8#4118yes—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—42no—
905#117—216no—
906#117—28no—
907#117—48no—
908#117—44no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C42—28no—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2411yescharacteristic
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#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24C2512yes—
1155C24C2514yes—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—41no—
1175C2×Q8—42no—
1176C2×Q8C2×#4114yes—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—28no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4114yes—
1317C4⋊C4C2×#4118yes—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4118yes—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—28no—
1364C42—28no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—28no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—42no—
1388C42—41no—
1389C42—42no—
1390C42—42no—
1391C42—41no—
1392C42—41no—
1393C42—44no—
1394C42—44no—
1395C42—42no—
1396C42—42no—
1397C42—44no—
1398C42—44no—
1399C42—41no—
1400C42—41no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42C2×#4114yes—
1408C42C2×#4118yes—
1409C42C2×#4114yes—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23C2611yescharacteristic
1425Q8—28no—
1426Q8—44no—
1427Q8—48no—
1428Q8—48no—
1429Q8—44no—
1430Q8—44no—
1431Q8—48no—
1432D4—48no—
1433D4—44no—
1434D4—48no—
1435D4—84no—
1436D4—88no—
1437D4—164no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—48no—
1524C2×C4—88no—
1525C2×C4—84no—
1526C2×C4—88no—
1527C2×C4—84no—
1528C2×C4—164no—
1529C2×C4C22×#4114yes—
1530C2×C4C22×#4112yes—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4114yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C22—44no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—44no—
1548C22—42no—
1549C22—42no—
1550C22—44no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—44no—
1557C22C23×#4111yescharacteristic
1558C22C23×#4111yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22C2×#58511yescharacteristic
1563C222−1+611yescharacteristic
1564C4—24no—
1565C4—22no—
1566C4—22no—
1567C4—24no—
1568C4—22no—
1569C4—24no—
1570C4—22no—
1571C4—24no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—41no—
1579C4—42no—
1580C4—44no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—44no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—42no—
1589C4—44no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—41no—
1594C4—42no—
1595C4#348014yes—
1596C4#352414yes—
1597C2—84no—
1598C2—82no—
1599C2C2×#348011yescharacteristic
1600C2C2×#352411yescharacteristic
1601C2#6281611yescharacteristic
1602C2#6296811yescharacteristic
1603C2#6299511yescharacteristic
1604C2#6300911yescharacteristic
1605C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
3. #59585C2semidirect
4. #59555C2semidirect
5. #59451C2semidirect
6. #59448C2semidirect
7. #59427C2semidirect
8. #59082C2semidirect
9. #45298C2semidirect
10. #45294C2semidirect
11. #44556C2semidirect
12. #43300C2semidirect
13. #40025C2semidirect
14. #40020C2semidirect
15. #39211C2semidirect
16. #39143C2semidirect
17. #38987C2semidirect
18. #38984C2semidirect
19. #36609C2semidirect
21. #36591C2semidirect
22. #36538C2semidirect
23. #36508C2semidirect
24. #36485C2semidirect
25. #36420C2semidirect
27. #36055C2semidirect
28. #35895C2semidirect
29. #34945C2semidirect
30. #34902C2semidirect
31. #34331C2semidirect
32. #34328C2semidirect
33. #34237C2semidirect
34. C4×#557C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#596402
#595852
#595552
#594512
#594482
#594272
#590822
#452982
#452942
#445562
#433002
#400252
#400202
#392112
#391432
#389872
#389842
#366092
#365972
#365912
#365382
#365082
#364852
#364202
#361152
#360552
#358952
#349452
#349022
#343312
#343282
#342372
C4×#5572
C4×#5562