Finite Group Databasebeta

← #7688574

Subgroups — #7688574

Order 512.

4944 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59583C212yesmaximal, complemented
2#59459C211yesmaximal, characteristic, complemented
3#59431C212yesmaximal, complemented
4#59426C212yesmaximal, complemented
5#59233C211yesmaximal, characteristic, complemented
6#59228C211yesmaximal, characteristic, complemented
7#59137C212yesmaximal, complemented
8#59118C212yesmaximal, complemented
9#59065C212yesmaximal, complemented
10#44815C214yesmaximal, complemented
11#44294C214yesmaximal, complemented
12#44031C214yesmaximal, complemented
13#40179C212yesmaximal, complemented
14#40142C212yesmaximal, complemented
15#39963C212yesmaximal, complemented
16#39902C212yesmaximal, complemented
17#39781C212yesmaximal, complemented
18#38999C212yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36503C212yesmaximal, complemented
21#36473C211yesmaximal, characteristic, complemented
22#36473C211yesmaximal, characteristic, complemented
23#36416C211yesmaximal, characteristic, complemented
24#36315C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36142C212yesmaximal, complemented
27#36132C211yesmaximal, characteristic, complemented
28#35814C214yesmaximal, complemented
29#34978C211yesmaximal, characteristic, complemented
30#34938C211yesmaximal, characteristic, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34324C212yesmaximal, complemented
33#34225C212yesmaximal, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#556C2212yes—
38C2×#555C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#533C2212yes—
41C2×#533C2212yes—
42C2×#529C2212yes—
43#2861C2212yes—
44#2860C2212yes—
45#2860C2212yes—
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2851C2212yes—
50#2851C2212yes—
51#2850C2212yes—
52#2801C2214yes—
53#2792C2214yes—
54#2785C2214yes—
55#2767C2214yes—
56#2767C2214yes—
57#2763C2214yes—
58#2759C2214yes—
59#2759C2214yes—
60#2759C2214yes—
61#2757C2214yes—
62#2756C2214yes—
63#2742C2214yes—
64#2723C2214yes—
65#2723C2214yes—
66#2718C2214yes—
67#2715C2214yes—
68#2712C2214yes—
69#2710C2214yes—
70#2702C2214yes—
71#2691C2214yes—
72#2676C2214yes—
73#2662C2214yes—
74#2650C2214yes—
75#2632C2214yes—
76#2612C2214yes—
77#2610C2214yes—
78#2605C2214yes—
79#2604C2214yes—
80#2604C2214yes—
81#2601C2214yes—
82#2596C2214yes—
83#2594C2214yes—
84#2593C2214yes—
85#2592C2214yes—
86#2589C2214yes—
87#2587C2214yes—
88#2586C2214yes—
89#2584C2212yes—
90#2580C2212yes—
91#2571C2211yescharacteristic
92#2567C2212yes—
93#2567C2212yes—
94#2566C2212yes—
95#2563C2212yes—
96#2563C2212yes—
97#2562C2212yes—
98#2562C2212yes—
99#2560C2214yes—
100#2553C2214yes—
101#2552C2211yescharacteristic
102#2552C2211yescharacteristic
103#2552C2211yescharacteristic
104#2551C2211yescharacteristic
105#2551C2211yescharacteristic
106#2551C2211yescharacteristic
107#2550C2212yes—
108#2550C2212yes—
109#2550C2212yes—
110#2549C2214yes—
111#2547C2211yescharacteristic
112#2542C2211yescharacteristic
113#2537C2211yescharacteristic
114#2532C2214yes—
115#2531C2214yes—
116#2529C2214yes—
117#2527C2214yes—
118#2525C2214yes—
119#2521C2214yes—
120#2521C2214yes—
121#2514C2214yes—
122#2514C2212yes—
123#2514C2212yes—
124#2512C2214yes—
125#2510C2214yes—
126#2509C2212yes—
127#2500C2212yes—
128#2497C2212yes—
129#2496C2212yes—
130#2496C2212yes—
131#2496C2212yes—
132#2495C2212yes—
133#2495C2212yes—
134#2494C2212yes—
135#2494C2212yes—
136#2494C2212yes—
137#2492C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2491C2212yes—
141#2491C2212yes—
142#2491C2212yes—
143#2490C2212yes—
144#2489C2212yes—
145#2489C2212yes—
146#2487C2212yes—
147#2485C2212yes—
148#2485C2212yes—
149#2479C2214yes—
150#2477C2214yes—
151#2474C2214yes—
152#2469C2214yes—
153#2469C2214yes—
154#2469C2214yes—
155#2469C2214yes—
156#2469C2214yes—
157#2466C2214yes—
158#2465C2214yes—
159#2465C2214yes—
160#2463C2214yes—
161#2461C2214yes—
162#2461C2214yes—
163#2458C2214yes—
164#2458C2214yes—
165#2452C2212yes—
166#2452C2212yes—
167#2451C2212yes—
168#2451C2212yes—
169#2448C2214yes—
170#2448C2212yes—
171#2441C2212yes—
172#2441C2212yes—
173#2441C2212yes—
174#2440C2212yes—
175#2440C2212yes—
176#2439C2212yes—
177#2439C2212yes—
178#2439C2212yes—
179#2439C2212yes—
180#2439C2212yes—
181#2427C2212yes—
182#2426C2214yes—
183#2426C2212yes—
184#2422C2212yes—
185#2421C2214yes—
186#2421C2212yes—
187#2415C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2399C2214yes—
195#2396C2214yes—
196#2395C2214yes—
197#2374C2212yes—
198#2373C2212yes—
199#2373C2214yes—
200#2373C2214yes—
201#2372C2212yes—
202#2372C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2211yescharacteristic
207#2369C2211yescharacteristic
208#2367C2214yes—
209#2367C2214yes—
210#2365C2212yes—
211#2365C2212yes—
212#2365C2211yescharacteristic
213#2365C2211yescharacteristic
214#2364C2212yes—
215#2363C2212yes—
216#2363C2211yescharacteristic
217#2363C2211yescharacteristic
218#2363C2211yescharacteristic
219#2362C2212yes—
220#2362C2212yes—
221#2362C2214yes—
222#2362C2212yes—
223#2362C2214yes—
224#2361C2211yescharacteristic
225#2357C2211yescharacteristic
226#2356C2214yes—
227#2355C2214yes—
228#2355C2212yes—
229#2354C2212yes—
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237#2353C2212yes—
238#2352C2212yes—
239#2352C2211yescharacteristic
240#2351C2214yes—
241Q8×C4⋊C4C2212yes—
242#2347C2211yescharacteristic
243#2347C2212yes—
244#2347C2212yes—
245#2347C2212yes—
246#2346C2212yes—
247#2346C2211yescharacteristic
248#2346C2212yes—
249#2346C2212yes—
250#2346C2211yescharacteristic
251#2346C2212yes—
252#2345C2211yescharacteristic
253#2334C2214yes—
254#2334C2214yes—
255#2326C2214yes—
256#2323C2214yes—
257#2323C2214yes—
258#2320C2214yes—
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#126C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2296C2212yes—
284#2296C2212yes—
285#2295C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2276C2214yes—
290C42×D4C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299#556—216no—
300#556—48no—
301#555—28no—
302#553—28no—
303#533—216no—
304#533—48no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#401C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2314yes—
467#392C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
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#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2314yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#383C2312yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#381C2312yes—
695#380C2311yescharacteristic
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C4⋊Q8—28no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852#126—28no—
853#126—216no—
854#126—216no—
855#126—48no—
856#126—48no—
857#126—48no—
858#125—28no—
859#125—28no—
860#125—44no—
861#125—44no—
862#125#4118yes—
863#124—28no—
864#124—216no—
865#124—28no—
866#124—48no—
867#124—44no—
868#124—48no—
869#123—28no—
870#123—48no—
871C22⋊Q8—28no—
872C22⋊Q8—216no—
873C22⋊Q8—216no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879#121—24no—
880#121—28no—
881#121—24no—
882#121—24no—
883#121—24no—
884#121—28no—
885#121—44no—
886#121—44no—
887C4×Q8—216no—
888C4×Q8—216no—
889C4×Q8—28no—
890C4×Q8—216no—
891C4×Q8—48no—
892C4×Q8—44no—
893C4×Q8—48no—
894C4×Q8—44no—
895C4×Q8—48no—
896C4×Q8—44no—
897C4×Q8—48no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—44no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—48no—
914#117—28no—
915#117—28no—
916#117—24no—
917#117—24no—
918#117—28no—
919#117—24no—
920#117—24no—
921#117—28no—
922#117—44no—
923#117—44no—
924#117—42no—
925#117—48no—
926#117—44no—
927#117—44no—
928#117#4118yes—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C42—28no—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
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#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C24C2511yescharacteristic
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—28no—
1179C2×Q8—28no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—28no—
1183C2×Q8—24no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—42no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—42no—
1205C2×D4—41no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4C2×#4114yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4C2×#4114yes—
1350C4⋊C4C2×#4114yes—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4C2×#4118yes—
1354C4⋊C4C2×#4118yes—
1355C4⋊C4H(5,𝔽2)14yes—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—41no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4C2×#4118yes—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—28no—
1414C42—28no—
1415C42—28no—
1416C42—22no—
1417C42—24no—
1418C42—28no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—28no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42—41no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—41no—
1450C42—44no—
1451C42C2×#4114yes—
1452C42C2×#4118yes—
1453C422−1+414yes—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23C22×#4112yes—
1482C23C2611yescharacteristic
1483Q8—416no—
1484Q8—416no—
1485Q8—48no—
1486Q8—84no—
1487Q8—88no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—44no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—88no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—28no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—44no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4114yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C2×H(5,𝔽2)14yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22C23×#4111yescharacteristic
1632C22C23×#4111yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C22×2−1+411yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C222−1+611yescharacteristic
1638C4—22no—
1639C4—24no—
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—24no—
1647C4—24no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—41no—
1666C4—44no—
1667C4#351114yes—
1668C4#351814yes—
1669C2—42no—
1670C2—82no—
1671C2—82no—
1672C2—81no—
1673C2#41211yescharacteristic
1674C2C2×#351811yescharacteristic
1675C2C2×#351111yescharacteristic
1676C2#6292811yescharacteristic
1677C2#6298511yescharacteristic
1678C2#6299511yescharacteristic
1679C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59583C2semidirect
2. #59459C2semidirect
3. #59431C2semidirect
4. #59426C2semidirect
5. #59233C2semidirect
6. #59228C2semidirect
7. #59137C2semidirect
8. #59118C2semidirect
9. #59065C2semidirect
10. #44815C2semidirect
11. #44294C2semidirect
12. #44031C2semidirect
13. #40179C2semidirect
14. #40142C2semidirect
15. #39963C2semidirect
16. #39902C2semidirect
17. #39781C2semidirect
18. #38999C2semidirect
19. #36586C2semidirect
20. #36503C2semidirect
21. #36473C2semidirect
22. #36473C2semidirect
23. #36416C2semidirect
24. #36315C2semidirect
25. #36210C2semidirect
26. #36142C2semidirect
27. #36132C2semidirect
28. #35814C2semidirect
29. #34978C2semidirect
30. #34938C2semidirect
31. #34932C2semidirect
32. #34324C2semidirect
33. #34225C2semidirect
34. C4×#555C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#595832
#594592
#594312
#594262
#592332
#592282
#591372
#591182
#590652
#448152
#442942
#440312
#401792
#401422
#399632
#399022
#397812
#389992
#365862
#365032
#364732
#364162
#363152
#362102
#361422
#361322
#358142
#349782
#349382
#349322
#343242
#342252
C4×#5552
C4×#5532