Finite Group Databasebeta

← #7690649

Subgroups — #7690649

Order 512.

4627 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59908C212yesmaximal, complemented
2#59869C211yesmaximal, characteristic, complemented
3#59682C212yesmaximal, complemented
4#59647C211yesmaximal, characteristic
5#59556C212yesmaximal, complemented
6#59450C211yesmaximal, characteristic, complemented
7#59449C212yesmaximal, complemented
8#59353C214yesmaximal, complemented
9#45194C212yesmaximal, complemented
10#45102C212yesmaximal, complemented
11#43725C214yesmaximal, complemented
12#43722C214yesmaximal, complemented
13#40025C212yesmaximal, complemented
14#40023C212yesmaximal, complemented
15#39387C211yesmaximal, characteristic
16#39319C214yesmaximal, complemented
17#39285C212yesmaximal, complemented
18#38987C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36597C211yesmaximal, characteristic
21#36591C212yesmaximal, complemented
22#36538C211yesmaximal, characteristic, complemented
23#36527C212yesmaximal, complemented
24#36508C211yesmaximal, characteristic, complemented
25#36313C211yesmaximal, characteristic, complemented
26#36173C212yesmaximal, complemented
27#36058C212yesmaximal, complemented
28#36037C212yesmaximal, complemented
29#34945C212yesmaximal, complemented
30#34902C211yesmaximal, characteristic, complemented
31#34328C211yesmaximal, characteristic, complemented
32#34322C211yesmaximal, characteristic, complemented
33#34284C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#542C2212yes—
41#2863C2212yes—
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2861C2212yes—
45#2858C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2852C2214yes—
49#2809C2214yes—
50#2800C2214yes—
51#2797C2214yes—
52#2795C2214yes—
53#2793C2214yes—
54#2786C2214yes—
55#2780C2214yes—
56#2777C2214yes—
57#2772C2214yes—
58#2772C2214yes—
59#2772C2214yes—
60#2771C2214yes—
61#2761C2214yes—
62#2740C2214yes—
63#2739C2214yes—
64#2731C2214yes—
65#2730C2214yes—
66#2729C2214yes—
67#2725C2214yes—
68#2707C2214yes—
69#2705C2214yes—
70#2651C2214yes—
71#2650C2214yes—
72#2644C2212yes—
73#2620C2212yes—
74#2608C2214yes—
75#2600C2214yes—
76#2596C2212yes—
77#2595C2214yes—
78#2595C2214yes—
79#2595C2214yes—
80#2594C2212yes—
81#2592C2212yes—
82#2592C2212yes—
83#2592C2211yescharacteristic
84#2587C2214yes—
85#2581C2211yescharacteristic
86#2580C2212yes—
87#2576C2214yes—
88#2576C2214yes—
89#2575C2214yes—
90#2575C2214yes—
91#2573C2214yes—
92#2573C2214yes—
93#2572C2214yes—
94#2571C2212yes—
95#2571C2212yes—
96#2570C2211yescharacteristic
97#2568C2212yes—
98#2568C2211yescharacteristic
99#2568C2212yes—
100#2566C2212yes—
101#2565C2212yes—
102#2558C2214yes—
103#2558C2214yes—
104#2558C2214yes—
105#2554C2214yes—
106#2554C2214yes—
107#2548C2212yes—
108#2548C2211yescharacteristic
109#2547C2212yes—
110#2546C2212yes—
111#2546C2211yescharacteristic
112#2546C2211yescharacteristic
113#2545C2212yes—
114#2545C2212yes—
115#2545C2212yes—
116#2545C2212yes—
117#2545C2212yes—
118#2545C2211yescharacteristic
119#2545C2212yes—
120#2544C2212yes—
121#2544C2212yes—
122#2542C2211yescharacteristic
123#2541C2211yescharacteristic
124#2538C2212yes—
125#2531C2214yes—
126#2530C2214yes—
127#2529C2214yes—
128#2529C2214yes—
129#2529C2214yes—
130#2528C2214yes—
131#2526C2214yes—
132#2526C2214yes—
133#2526C2214yes—
134#2525C2214yes—
135#2525C2212yes—
136#2524C2214yes—
137#2519C2214yes—
138#2519C2214yes—
139#2519C2214yes—
140#2518C2214yes—
141#2518C2214yes—
142#2518C2214yes—
143#2517C2214yes—
144#2516C2214yes—
145#2516C2214yes—
146#2515C2214yes—
147#2515C2214yes—
148#2514C2211yescharacteristic
149#2514C2212yes—
150#2514C2212yes—
151#2513C2212yes—
152#2513C2212yes—
153#2513C2212yes—
154#2513C2212yes—
155#2513C2214yes—
156#2512C2212yes—
157#2512C2211yescharacteristic
158#2511C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2214yes—
162#2504C2212yes—
163#2503C2212yes—
164#2494C2214yes—
165#2490C2212yes—
166#2489C2212yes—
167#2469C2212yes—
168#2466C2214yes—
169#2454C2212yes—
170#2453C2212yes—
171#2448C2212yes—
172#2448C2212yes—
173#2448C2214yes—
174#2448C2212yes—
175#2448C2211yescharacteristic
176#2447C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2447C2212yes—
180#2447C2212yes—
181#2446C2211yescharacteristic
182#2446C2212yes—
183#2445C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2427C2212yes—
187#2426C2212yes—
188#2426C2212yes—
189#2426C2212yes—
190#2421C2214yes—
191#2421C2212yes—
192#2420C2212yes—
193#2401C2212yes—
194#2401C2214yes—
195#2401C2214yes—
196#2396C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2373C2214yes—
201#2372C2214yes—
202#2371C2214yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2370C2212yes—
206#2370C2212yes—
207#2370C2211yescharacteristic
208#2369C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2212yes—
214#2367C2212yes—
215#2367C2214yes—
216#2367C2212yes—
217#2366C2211yescharacteristic
218#2366C2212yes—
219#2365C2211yescharacteristic
220#2365C2212yes—
221#2365C2211yescharacteristic
222#2365C2212yes—
223#2365C2212yes—
224#2365C2211yescharacteristic
225#2363C2212yes—
226#2363C2212yes—
227#2362C2212yes—
228#2362C2212yes—
229#2361C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2357C2212yes—
233#2357C2212yes—
234#2357C2212yes—
235#2357C2212yes—
236#2357C2214yes—
237#2356C2212yes—
238#2356C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2351C2212yes—
247#2351C2211yescharacteristic
248#2351C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251#2346C2212yes—
252#2336C2214yes—
253#2335C2214yes—
254#2334C2214yes—
255#2332C2214yes—
256#2327C2212yes—
257#2323C2212yes—
258#2319C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#126C2212yes—
272C4×#124C2212yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×C22⋊Q8C2214yes—
280C4×#123C2214yes—
281C4×#123C2214yes—
282#2298C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2283C2214yes—
289#2276C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×D4C2212yes—
298C42×D4C2212yes—
299#559—28no—
300#557—28no—
301#557—28no—
302#556—28no—
303#542—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
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×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C42C2314yes—
380#401C2314yes—
381#401C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2312yes—
456#393C2314yes—
457#392C2314yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
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#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2314yes—
697#382C2314yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
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⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C43C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C4⋊Q8—28no—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—44no—
838C4⋊Q8—42no—
839C4⋊Q8—44no—
840C4⋊Q8#4118yes—
841#127—24no—
842#127—44no—
843#126—216no—
844#126—216no—
845#126—44no—
846#125—28no—
847#125—28no—
848#125—24no—
849#125—24no—
850#125—216no—
851#125—28no—
852#124—216no—
853#124—28no—
854#124—28no—
855#124—28no—
856#124—28no—
857#124—44no—
858#124—42no—
859#124—44no—
860#124—44no—
861#124—42no—
862#124—44no—
863#123—216no—
864#123—216no—
865C22⋊Q8—216no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—44no—
869#121—28no—
870#121—44no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8#4118yes—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905#117—28no—
906#117—28no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C42—48no—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
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—22no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8C2×#4114yes—
1176C2×Q8C2×#4118yes—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
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—28no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
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—44no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4C2×#4114yes—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4118yes—
1317C4⋊C4C2×#4118yes—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C42—24no—
1360C42—28no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—28no—
1367C42—24no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42—42no—
1394C42—44no—
1395C42—44no—
1396C42—42no—
1397C42—42no—
1398C42—41no—
1399C42—41no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—42no—
1406C42—44no—
1407C42C2×#4114yes—
1408C42C2×#4118yes—
1409C42C2×#4114yes—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23C2611yescharacteristic
1425Q8—28no—
1426Q8—48no—
1427Q8—44no—
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—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—48no—
1524C2×C4—88no—
1525C2×C4—88no—
1526C2×C4—88no—
1527C2×C4—164no—
1528C2×C4C22×#4114yes—
1529C2×C4C22×#4114yes—
1530C2×C4C22×#4112yes—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4#58512yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C22—44no—
1543C22—42no—
1544C22—44no—
1545C22—42no—
1546C22—44no—
1547C22—42no—
1548C22—44no—
1549C22—42no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22—44no—
1554C22—42no—
1555C22—44no—
1556C22C23×#4111yescharacteristic
1557C22C23×#4111yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22C2×#58511yescharacteristic
1562C222−1+611yescharacteristic
1563C4—24no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—24no—
1568C4—24no—
1569C4—22no—
1570C4—24no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—42no—
1577C4—41no—
1578C4—41no—
1579C4—44no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—44no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4#348014yes—
1595C4#352414yes—
1596C2—84no—
1597C2—82no—
1598C2C2×#348011yescharacteristic
1599C2#6278111yescharacteristic
1600C2C2×#352411yescharacteristic
1601C2#6296811yescharacteristic
1602C2#6299511yescharacteristic
1603C2#6300711yescharacteristic
1604C2#6303011yescharacteristic
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. #59908C2semidirect
2. #59869C2semidirect
3. #59682C2semidirect
5. #59556C2semidirect
6. #59450C2semidirect
7. #59449C2semidirect
8. #59353C2semidirect
9. #45194C2semidirect
10. #45102C2semidirect
11. #43725C2semidirect
12. #43722C2semidirect
13. #40025C2semidirect
14. #40023C2semidirect
16. #39319C2semidirect
17. #39285C2semidirect
18. #38987C2semidirect
19. #36609C2semidirect
21. #36591C2semidirect
22. #36538C2semidirect
23. #36527C2semidirect
24. #36508C2semidirect
25. #36313C2semidirect
26. #36173C2semidirect
27. #36058C2semidirect
28. #36037C2semidirect
29. #34945C2semidirect
30. #34902C2semidirect
31. #34328C2semidirect
32. #34322C2semidirect
33. #34284C2semidirect
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
#599082
#598692
#596822
#596472
#595562
#594502
#594492
#593532
#451942
#451022
#437252
#437222
#400252
#400232
#393872
#393192
#392852
#389872
#366092
#365972
#365912
#365382
#365272
#365082
#363132
#361732
#360582
#360372
#349452
#349022
#343282
#343222
#342842
C4×#5572
C4×#5592