Finite Group Databasebeta

← #7693305

Subgroups — #7693305

Order 512.

4574 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#59667C211yesmaximal, characteristic, complemented
2#59658C212yesmaximal
3#59608C214yesmaximal, complemented
4#59508C212yesmaximal, complemented
5#59402C212yesmaximal, complemented
6#59234C212yesmaximal, complemented
7#59065C211yesmaximal, characteristic, complemented
8#59055C211yesmaximal, characteristic, complemented
9#45293C212yesmaximal, complemented
10#45229C212yesmaximal, complemented
11#44615C214yesmaximal, complemented
12#44424C214yesmaximal, complemented
13#40183C214yesmaximal, complemented
14#40074C212yesmaximal, complemented
15#40070C212yesmaximal, complemented
16#39158C211yesmaximal, characteristic, complemented
17#39156C211yesmaximal, characteristic, complemented
18#38972C212yesmaximal, complemented
19#36556C211yesmaximal, characteristic, complemented
20#36476C211yesmaximal, characteristic, complemented
21#36454C212yesmaximal, complemented
22#36418C212yesmaximal, complemented
23#36310C212yesmaximal, complemented
24#36288C211yesmaximal, characteristic, complemented
25#36193C211yesmaximal, characteristic, complemented
26#36151C211yesmaximal, characteristic, complemented
27#36058C212yesmaximal, complemented
28#35880C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34793C212yesmaximal, complemented
31#34336C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34231C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#556C2211yescharacteristic
38C2×#553C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41#2866C2214yes—
42#2864C2212yes—
43#2862C2211yescharacteristic
44#2862C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2793C2214yes—
50#2777C2214yes—
51#2776C2214yes—
52#2775C2214yes—
53#2775C2214yes—
54#2775C2214yes—
55#2773C2214yes—
56#2773C2214yes—
57#2772C2214yes—
58#2768C2214yes—
59#2767C2214yes—
60#2766C2214yes—
61#2759C2214yes—
62#2758C2214yes—
63#2740C2214yes—
64#2723C2214yes—
65#2721C2214yes—
66#2716C2214yes—
67#2713C2214yes—
68#2711C2214yes—
69#2700C2214yes—
70#2651C2214yes—
71#2650C2214yes—
72#2644C2212yes—
73#2644C2212yes—
74#2612C2214yes—
75#2607C2214yes—
76#2596C2214yes—
77#2595C2214yes—
78#2594C2214yes—
79#2589C2214yes—
80#2588C2214yes—
81#2587C2214yes—
82#2581C2212yes—
83#2580C2212yes—
84#2575C2214yes—
85#2575C2214yes—
86#2574C2214yes—
87#2573C2212yes—
88#2573C2212yes—
89#2571C2211yescharacteristic
90#2570C2212yes—
91#2568C2211yescharacteristic
92#2567C2211yescharacteristic
93#2563C2211yescharacteristic
94#2558C2214yes—
95#2552C2211yescharacteristic
96#2551C2212yes—
97#2551C2211yescharacteristic
98#2547C2211yescharacteristic
99#2547C2212yes—
100#2546C2211yescharacteristic
101#2542C2212yes—
102#2542C2211yescharacteristic
103#2538C2212yes—
104#2538C2211yescharacteristic
105#2536C2212yes—
106#2532C2214yes—
107#2530C2214yes—
108#2529C2214yes—
109#2529C2214yes—
110#2528C2214yes—
111#2528C2214yes—
112#2528C2214yes—
113#2527C2214yes—
114#2526C2214yes—
115#2526C2214yes—
116#2524C2214yes—
117#2520C2214yes—
118#2520C2214yes—
119#2520C2214yes—
120#2519C2214yes—
121#2517C2214yes—
122#2517C2214yes—
123#2517C2214yes—
124#2516C2214yes—
125#2515C2214yes—
126#2515C2214yes—
127#2514C2212yes—
128#2513C2214yes—
129#2511C2212yes—
130#2511C2214yes—
131#2511C2212yes—
132#2509C2212yes—
133#2508C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2507C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2499C2212yes—
140#2497C2212yes—
141#2495C2214yes—
142#2494C2212yes—
143#2494C2212yes—
144#2494C2211yescharacteristic
145#2494C2211yescharacteristic
146#2492C2212yes—
147#2492C2212yes—
148#2491C2212yes—
149#2491C2214yes—
150#2490C2212yes—
151#2489C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2485C2212yes—
155#2479C2214yes—
156#2474C2214yes—
157#2474C2214yes—
158#2469C2214yes—
159#2462C2214yes—
160#2460C2214yes—
161#2458C2214yes—
162#2453C2212yes—
163#2453C2212yes—
164#2453C2212yes—
165#2451C2212yes—
166#2448C2212yes—
167#2448C2212yes—
168#2447C2214yes—
169#2447C2212yes—
170#2446C2212yes—
171#2442C2212yes—
172#2441C2212yes—
173#2439C2212yes—
174#2439C2212yes—
175#2438C2214yes—
176#2429C2212yes—
177#2429C2212yes—
178#2426C2212yes—
179#2426C2212yes—
180#2423C2212yes—
181#2423C2212yes—
182#2421C2211yescharacteristic
183#2421C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2421C2211yescharacteristic
187#2421C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2401C2212yes—
194#2401C2214yes—
195#2401C2212yes—
196#2395C2214yes—
197#2374C2212yes—
198#2373C2212yes—
199#2373C2214yes—
200#2370C2214yes—
201#2370C2211yescharacteristic
202#2370C2212yes—
203#2370C2214yes—
204#2369C2212yes—
205#2369C2214yes—
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2367C2214yes—
209#2367C2212yes—
210#2365C2212yes—
211#2365C2212yes—
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2364C2212yes—
218#2363C2211yescharacteristic
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2361C2211yescharacteristic
226#2360C2212yes—
227#2360C2212yes—
228#2357C2212yes—
229#2357C2211yescharacteristic
230#2356C2214yes—
231#2356C2212yes—
232#2356C2212yes—
233#2355C2212yes—
234#2355C2214yes—
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2353C2212yes—
240#2352C2211yescharacteristic
241#2351C2212yes—
242#2351C2212yes—
243#2351C2212yes—
244Q8×C4⋊C4C2212yes—
245#2347C2212yes—
246#2347C2212yes—
247#2347C2211yescharacteristic
248#2346C2212yes—
249#2346C2212yes—
250#2345C2211yescharacteristic
251#2344C2212yes—
252#2343C2214yes—
253#2336C2214yes—
254#2332C2214yes—
255#2331C2214yes—
256#2331C2212yes—
257#2330C2214yes—
258#2330C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2214yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#126C2214yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2214yes—
283#2295C2212yes—
284#2295C2214yes—
285#2295C2212yes—
286#2285C2212yes—
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289#2276C2212yes—
290#2276C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—216no—
300#556—28no—
301#553—28no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376C22×C42C2312yes—
377#401C2314yes—
378#401C2312yes—
379#401C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#396C2312yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2312yes—
489#390C2314yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2314yes—
494#390C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2314yes—
667#384C2312yes—
668#383C2312yes—
669#383C2314yes—
670#383C2312yes—
671#383C2312yes—
672#383C2314yes—
673#383C2314yes—
674#382C2311yescharacteristic
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2314yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#381C2312yes—
693#381C2312yes—
694#381C2314yes—
695#381C2314yes—
696#381C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2314yes—
713#380C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—216no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8#4118yes—
844#126—28no—
845#126—216no—
846#125—28no—
847#125—28no—
848#125—216no—
849#125—28no—
850#125—216no—
851#125#4118yes—
852#124—28no—
853#124—44no—
854#124—48no—
855#123—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—42no—
864C22⋊Q8—42no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867#121—28no—
868#121—24no—
869#121—24no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—216no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×D4—28no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—44no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896#117—28no—
897#117—28no—
898#117—24no—
899#117—28no—
900#117—24no—
901#117—48no—
902#117—44no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C42—24no—
1017C2×C42—24no—
1018C2×C42—44no—
1019C2×C42—44no—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151C24C2512yes—
1152C24C2511yescharacteristic
1153C24C2511yescharacteristic
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8C2×#4118yes—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—41no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2514yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—28no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—42no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4114yes—
1317C4⋊C4C2×#4118yes—
1318C4⋊C4C2×#4118yes—
1319C4⋊C4C2×#4118yes—
1320C4⋊C42−1+414yes—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—22no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—22no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—41no—
1347C22⋊C4—42no—
1348C22⋊C4—41no—
1349C22⋊C4—42no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—28no—
1368C42—28no—
1369C42—28no—
1370C42—24no—
1371C42—28no—
1372C42—28no—
1373C42—24no—
1374C42—28no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—28no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—24no—
1383C42—22no—
1384C42—24no—
1385C42—42no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—41no—
1390C42—42no—
1391C42—42no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—42no—
1396C42—41no—
1397C42—42no—
1398C42—44no—
1399C42—44no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42C2×#4114yes—
1404C42C2×#4114yes—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—21no—
1422C23—22no—
1423C23—22no—
1424C23—21no—
1425C23#58512yes—
1426C23C2611yescharacteristic
1427Q8—216no—
1428Q8—44no—
1429Q8—48no—
1430Q8—84no—
1431Q8—84no—
1432Q8—88no—
1433D4—44no—
1434D4—48no—
1435D4—44no—
1436D4—84no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—44no—
1521C2×C4—48no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—48no—
1527C2×C4—84no—
1528C2×C4—84no—
1529C2×C4—82no—
1530C2×C4—84no—
1531C2×C4C22×#4112yes—
1532C2×C4C22×#4118yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4C22×#4112yes—
1540C2×C4C2×2−1+414yes—
1541C2×C4C2×2−1+412yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—42no—
1556C22—41no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—41no—
1561C22—41no—
1562C22—42no—
1563C22—41no—
1564C22—42no—
1565C22C23×#4111yescharacteristic
1566C22C23×#4111yescharacteristic
1567C22C22×2−1+411yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C222−1+611yescharacteristic
1572C4—22no—
1573C4—24no—
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—24no—
1578C4—28no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—44no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—41no—
1590C4—42no—
1591C4—41no—
1592C4—42no—
1593C4—44no—
1594C4—42no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4—41no—
1601C4—41no—
1602C4#348214yes—
1603C4#352414yes—
1604C2—42no—
1605C2—82no—
1606C2—81no—
1607C2C2×#348211yescharacteristic
1608C2C2×#352411yescharacteristic
1609C2#6281611yescharacteristic
1610C2#6295311yescharacteristic
1611C2#6299511yescharacteristic
1612C2#6300511yescharacteristic
1613C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59667C2semidirect
3. #59608C2semidirect
4. #59508C2semidirect
5. #59402C2semidirect
6. #59234C2semidirect
7. #59065C2semidirect
8. #59055C2semidirect
9. #45293C2semidirect
10. #45229C2semidirect
11. #44615C2semidirect
12. #44424C2semidirect
13. #40183C2semidirect
14. #40074C2semidirect
15. #40070C2semidirect
16. #39158C2semidirect
17. #39156C2semidirect
18. #38972C2semidirect
19. #36556C2semidirect
20. #36476C2semidirect
21. #36454C2semidirect
22. #36418C2semidirect
23. #36310C2semidirect
24. #36288C2semidirect
25. #36193C2semidirect
26. #36151C2semidirect
27. #36058C2semidirect
28. #35880C2semidirect
29. #34945C2semidirect
30. #34793C2semidirect
31. #34336C2semidirect
32. #34235C2semidirect
33. #34231C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596672
#596582
#596082
#595082
#594022
#592342
#590652
#590552
#452932
#452292
#446152
#444242
#401832
#400742
#400702
#391582
#391562
#389722
#365562
#364762
#364542
#364182
#363102
#362882
#361932
#361512
#360582
#358802
#349452
#347932
#343362
#342352
#342312
C4×#5562
C4×#5532