Finite Group Databasebeta

← #7693140

Subgroups — #7693140

Order 512.

4719 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59659C211yesmaximal, characteristic, complemented
2#59655C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic
4#59592C212yesmaximal, complemented
5#59564C212yesmaximal, complemented
6#59556C214yesmaximal, complemented
7#59225C212yesmaximal, complemented
8#59068C212yesmaximal, complemented
9#45317C212yesmaximal, complemented
10#45054C212yesmaximal, complemented
11#44602C214yesmaximal, complemented
12#43385C214yesmaximal, complemented
13#40193C212yesmaximal, complemented
14#40188C212yesmaximal, complemented
15#40063C214yesmaximal, complemented
16#39152C212yesmaximal, complemented
17#38978C211yesmaximal, characteristic, complemented
18#38975C211yesmaximal, characteristic, complemented
19#36574C211yesmaximal, characteristic, complemented
20#36477C211yesmaximal, characteristic, complemented
21#36451C212yesmaximal, complemented
22#36312C211yesmaximal, characteristic, complemented
23#36305C212yesmaximal, complemented
24#36284C212yesmaximal, complemented
25#36174C211yesmaximal, characteristic, complemented
26#36114C211yesmaximal, characteristic, complemented
27#36058C212yesmaximal, complemented
28#35897C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34803C212yesmaximal, complemented
31#34335C211yesmaximal, characteristic, complemented
32#34332C211yesmaximal, characteristic, complemented
33#34237C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#555C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#529C2212yes—
41#2864C2214yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2855C2212yes—
47#2851C2212yes—
48#2850C2212yes—
49#2786C2214yes—
50#2783C2214yes—
51#2777C2214yes—
52#2775C2214yes—
53#2773C2214yes—
54#2773C2214yes—
55#2772C2214yes—
56#2772C2214yes—
57#2769C2214yes—
58#2761C2214yes—
59#2761C2214yes—
60#2751C2214yes—
61#2744C2214yes—
62#2731C2214yes—
63#2730C2214yes—
64#2729C2214yes—
65#2715C2214yes—
66#2707C2214yes—
67#2706C2214yes—
68#2702C2214yes—
69#2672C2214yes—
70#2651C2214yes—
71#2648C2214yes—
72#2644C2212yes—
73#2644C2212yes—
74#2612C2214yes—
75#2612C2214yes—
76#2608C2214yes—
77#2595C2214yes—
78#2589C2214yes—
79#2587C2214yes—
80#2587C2214yes—
81#2584C2212yes—
82#2584C2212yes—
83#2582C2211yescharacteristic
84#2581C2212yes—
85#2576C2214yes—
86#2575C2214yes—
87#2573C2214yes—
88#2573C2212yes—
89#2573C2212yes—
90#2571C2211yescharacteristic
91#2570C2212yes—
92#2568C2211yescharacteristic
93#2566C2212yes—
94#2557C2214yes—
95#2553C2214yes—
96#2550C2212yes—
97#2547C2211yescharacteristic
98#2545C2214yes—
99#2540C2212yes—
100#2538C2211yescharacteristic
101#2538C2211yescharacteristic
102#2538C2211yescharacteristic
103#2538C2211yescharacteristic
104#2538C2211yescharacteristic
105#2537C2211yescharacteristic
106#2533C2214yes—
107#2530C2214yes—
108#2529C2214yes—
109#2529C2214yes—
110#2529C2214yes—
111#2528C2214yes—
112#2527C2214yes—
113#2526C2214yes—
114#2526C2214yes—
115#2526C2214yes—
116#2525C2214yes—
117#2523C2214yes—
118#2522C2214yes—
119#2519C2214yes—
120#2518C2214yes—
121#2514C2211yescharacteristic
122#2514C2211yescharacteristic
123#2513C2214yes—
124#2509C2212yes—
125#2509C2212yes—
126#2509C2212yes—
127#2508C2212yes—
128#2508C2214yes—
129#2508C2212yes—
130#2508C2212yes—
131#2507C2212yes—
132#2503C2214yes—
133#2499C2212yes—
134#2497C2212yes—
135#2496C2212yes—
136#2496C2212yes—
137#2495C2212yes—
138#2495C2212yes—
139#2494C2212yes—
140#2492C2212yes—
141#2491C2212yes—
142#2491C2212yes—
143#2490C2212yes—
144#2490C2212yes—
145#2489C2212yes—
146#2489C2212yes—
147#2488C2214yes—
148#2486C2212yes—
149#2485C2212yes—
150#2481C2214yes—
151#2474C2214yes—
152#2470C2214yes—
153#2466C2214yes—
154#2466C2214yes—
155#2466C2214yes—
156#2465C2214yes—
157#2455C2214yes—
158#2453C2212yes—
159#2453C2212yes—
160#2453C2212yes—
161#2452C2212yes—
162#2448C2212yes—
163#2448C2212yes—
164#2447C2211yescharacteristic
165#2447C2211yescharacteristic
166#2447C2214yes—
167#2445C2212yes—
168#2444C2214yes—
169#2441C2212yes—
170#2441C2212yes—
171#2440C2212yes—
172#2439C2212yes—
173#2439C2212yes—
174#2429C2212yes—
175#2429C2212yes—
176#2429C2214yes—
177#2428C2212yes—
178#2426C2212yes—
179#2426C2214yes—
180#2426C2212yes—
181#2426C2214yes—
182#2423C2212yes—
183#2422C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2417C2212yes—
189#2416C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2413C2214yes—
193#2401C2212yes—
194#2401C2214yes—
195#2401C2212yes—
196#2398C2214yes—
197#2374C2212yes—
198#2374C2212yes—
199#2372C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2369C2211yescharacteristic
205#2369C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2211yescharacteristic
209#2367C2211yescharacteristic
210#2366C2211yescharacteristic
211#2365C2212yes—
212#2365C2214yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2361C2212yes—
221#2361C2214yes—
222#2360C2212yes—
223#2360C2214yes—
224#2360C2212yes—
225#2357C2212yes—
226#2357C2212yes—
227#2357C2211yescharacteristic
228#2357C2211yescharacteristic
229#2357C2214yes—
230#2355C2212yes—
231#2355C2211yescharacteristic
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2353C2214yes—
237#2352C2212yes—
238#2351C2212yes—
239#2351C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yes—
244#2346C2212yes—
245#2346C2212yes—
246#2346C2214yes—
247#2346C2212yes—
248#2346C2212yes—
249#2345C2212yes—
250#2344C2212yes—
251#2343C2214yes—
252#2335C2214yes—
253#2335C2214yes—
254#2331C2214yes—
255#2331C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2320C2212yes—
259#2319C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×#127C2211yescharacteristic
266C4×#126C2214yes—
267C4×#126C2214yes—
268C4×#124C2211yescharacteristic
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2214yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2214yes—
285#2295C2212yes—
286C2×#389C2212yes—
287#2283C2212yes—
288#2283C2212yes—
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C4×#117C2212yes—
299#559—28no—
300Q82—28no—
301#555—28no—
302#554—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309#529—216no—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2311yescharacteristic
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2312yes—
384#401C2312yes—
385#401C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#392C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2314yes—
485#391C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
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#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#383C2312yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#381C2312yes—
698#381C2312yes—
699#381C2312yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2314yes—
810C43C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C4⋊Q8—216no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—42no—
843C4⋊Q8#4118yes—
844#127—24no—
845#126—216no—
846#126—84no—
847#125—28no—
848#125—28no—
849#125—44no—
850#125—82no—
851#124—216no—
852#124—24no—
853#124—28no—
854#124—42no—
855#124—42no—
856#124—84no—
857#124#4118yes—
858#123—216no—
859#123—28no—
860#123—28no—
861#123—84no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—28no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—84no—
870#121—28no—
871#121—28no—
872#121—28no—
873#121—48no—
874#121—44no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—42no—
885C4×Q8—48no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—82no—
890C4×Q8—82no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—216no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—84no—
908#117—28no—
909#117—28no—
910#117—28no—
911#117—216no—
912#117—44no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—84no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—28no—
1033C2×C42—44no—
1034C2×C42—44no—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2512yes—
1160C24C2512yes—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—28no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—42no—
1173C2×Q8—41no—
1174C2×Q8—42no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8C2×#4114yes—
1178C2×Q8C2×#4118yes—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—28no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4C2×#4114yes—
1200C22×C4—28no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—28no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—44no—
1312C4⋊C4—41no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4C2×#4118yes—
1332C4⋊C4C2×#4118yes—
1333C4⋊C42−1+414yes—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4C2×#4118yes—
1380C22⋊C4C2×#4118yes—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—28no—
1385C42—28no—
1386C42—24no—
1387C42—22no—
1388C42—24no—
1389C42—22no—
1390C42—28no—
1391C42—24no—
1392C42—24no—
1393C42—28no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—41no—
1417C42—41no—
1418C42—44no—
1419C42—41no—
1420C42—41no—
1421C42—44no—
1422C42—41no—
1423C42—42no—
1424C42C2×#4114yes—
1425C42C2×#4114yes—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23C22×#4114yes—
1447C23C2611yescharacteristic
1448Q8—28no—
1449Q8—48no—
1450Q8—44no—
1451Q8—44no—
1452Q8—44no—
1453Q8—88no—
1454D4—28no—
1455D4—48no—
1456D4—44no—
1457D4—44no—
1458D4—88no—
1459D4—84no—
1460D4—88no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—48no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—88no—
1548C2×C4—84no—
1549C2×C4—84no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4118yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C2×2−1+414yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4#58512yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22C23×#4111yescharacteristic
1590C22C23×#4111yescharacteristic
1591C22C22×2−1+411yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)11yescharacteristic
1596C4—28no—
1597C4—22no—
1598C4—22no—
1599C4—24no—
1600C4—22no—
1601C4—22no—
1602C4—24no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—44no—
1607C4—41no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—44no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—44no—
1625C4—42no—
1626C4#348214yes—
1627C4#352414yes—
1628C2—44no—
1629C2—82no—
1630C2—82no—
1631C2C2×#348211yescharacteristic
1632C2C2×#352411yescharacteristic
1633C2#6281611yescharacteristic
1634C2#6295211yescharacteristic
1635C2#6299211yescharacteristic
1636C2#6299411yescharacteristic
1637C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59652C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59659C2semidirect
2. #59655C2semidirect
4. #59592C2semidirect
5. #59564C2semidirect
6. #59556C2semidirect
7. #59225C2semidirect
8. #59068C2semidirect
9. #45317C2semidirect
10. #45054C2semidirect
11. #44602C2semidirect
12. #43385C2semidirect
13. #40193C2semidirect
14. #40188C2semidirect
15. #40063C2semidirect
16. #39152C2semidirect
17. #38978C2semidirect
18. #38975C2semidirect
19. #36574C2semidirect
20. #36477C2semidirect
21. #36451C2semidirect
22. #36312C2semidirect
23. #36305C2semidirect
24. #36284C2semidirect
25. #36174C2semidirect
26. #36114C2semidirect
27. #36058C2semidirect
28. #35897C2semidirect
29. #34945C2semidirect
30. #34803C2semidirect
31. #34335C2semidirect
32. #34332C2semidirect
33. #34237C2semidirect
34. C4×#559C2semidirect
35. C4×#555C2semidirect

Maximal subgroups

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

subgroupindex
#596592
#596552
#596522
#595922
#595642
#595562
#592252
#590682
#453172
#450542
#446022
#433852
#401932
#401882
#400632
#391522
#389782
#389752
#365742
#364772
#364512
#363122
#363052
#362842
#361742
#361142
#360582
#358972
#349452
#348032
#343352
#343322
#342372
C4×#5592
C4×#5552