Finite Group Databasebeta

← #8467016

Subgroups — #8467016

Order 512.

4539 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59659C211yesmaximal, characteristic, complemented
2#59302C211yesmaximal, characteristic, complemented
3#59257C211yesmaximal, characteristic, complemented
4#56015C214yesmaximal, complemented
5#55110C214yesmaximal, complemented
6#54891C214yesmaximal, complemented
7#53104C212yesmaximal, complemented
8#53058C212yesmaximal, complemented
9#49444C214yesmaximal, complemented
10#46072C212yesmaximal, complemented
11#45598C212yesmaximal, complemented
12#45208C212yesmaximal, complemented
13#45162C212yesmaximal, complemented
14#42982C212yesmaximal, complemented
15#42959C212yesmaximal, complemented
16#42726C212yesmaximal, complemented
17#42719C212yesmaximal, complemented
18#39908C212yesmaximal, complemented
19#39597C211yesmaximal, characteristic, complemented
20#39240C212yesmaximal, complemented
21#39193C211yesmaximal, characteristic, complemented
22#39125C211yesmaximal, characteristic, complemented
23#38961C212yesmaximal, complemented
24#38922C211yesmaximal, characteristic, complemented
25#37856C212yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37365C212yesmaximal, complemented
28#37282C212yesmaximal, complemented
29#36590C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36160C211yesmaximal, characteristic, complemented
32#35185C211yesmaximal, characteristic, complemented
33#35172C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic, complemented
41C22×C4×D4C2211yescharacteristic
42#2864C2212yescomplemented
43#2861C2212yes—
44#2860C2212yes—
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2848C2212yes—
49#2848C2212yes—
50#2847C2212yes—
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2836C2214yescomplemented
54#2831C2214yescomplemented
55#2830C2214yes—
56#2827C2214yescomplemented
57#2823C2214yescomplemented
58#2821C2214yescomplemented
59#2803C2214yes—
60#2803C2214yes—
61#2800C2214yes—
62#2793C2214yescomplemented
63#2793C2214yescomplemented
64#2791C2214yescomplemented
65#2784C2214yes—
66#2779C2214yes—
67#2779C2214yescomplemented
68#2778C2214yes—
69#2774C2214yescomplemented
70#2766C2214yescomplemented
71#2764C2214yescomplemented
72#2757C2214yescomplemented
73#2751C2214yescomplemented
74#2750C2214yes—
75#2750C2214yescomplemented
76#2750C2214yescomplemented
77#2748C2214yes—
78#2746C2214yescomplemented
79#2744C2214yescomplemented
80#2743C2214yescomplemented
81#2741C2214yescomplemented
82#2741C2214yescomplemented
83#2740C2214yescomplemented
84#2740C2214yescomplemented
85#2738C2214yescomplemented
86#2737C2214yescomplemented
87#2735C2214yes—
88#2735C2214yes—
89#2735C2214yes—
90#2731C2214yescomplemented
91#2731C2214yescomplemented
92#2727C2214yes—
93#2716C2214yescomplemented
94#2716C2214yescomplemented
95#2715C2214yescomplemented
96#2715C2214yescomplemented
97#2713C2214yescomplemented
98#2691C2214yescomplemented
99#2686C2214yescomplemented
100#2685C2214yes—
101#2685C2214yes—
102#2684C2214yes—
103#2684C2214yes—
104#2677C2214yes—
105#2674C2214yescomplemented
106#2672C2214yescomplemented
107#2668C2214yes—
108#2654C2214yescomplemented
109#2652C2214yescomplemented
110#2651C2214yescomplemented
111#2650C2214yescomplemented
112#2648C2214yes—
113#2648C2214yes—
114#2629C2212yescomplemented
115#2629C2212yescomplemented
116#2628C2212yes—
117#2628C2212yescomplemented
118#2626C2214yes—
119#2625C2212yescomplemented
120#2624C2212yes—
121#2620C2212yes—
122#2620C2212yescomplemented
123#2618C2214yescomplemented
124#2594C2214yescomplemented
125#2589C2214yes—
126#2582C2211yescharacteristic, complemented
127#2581C2212yescomplemented
128#2580C2212yes—
129#2580C2212yes—
130#2578C2214yes—
131#2577C2214yes—
132#2574C2214yescomplemented
133#2573C2214yescomplemented
134#2573C2214yescomplemented
135#2571C2211yescharacteristic, complemented
136#2570C2212yescomplemented
137#2570C2212yescomplemented
138#2567C2211yescharacteristic, complemented
139#2566C2214yes—
140#2563C2211yescharacteristic
141#2563C2212yes—
142#2560C2212yes—
143#2558C2212yescomplemented
144#2555C2214yes—
145#2551C2212yescomplemented
146#2550C2212yescomplemented
147#2550C2211yescharacteristic, complemented
148#2547C2212yescomplemented
149#2546C2212yescomplemented
150#2545C2214yescomplemented
151#2545C2211yescharacteristic, complemented
152#2542C2212yes—
153#2540C2211yescharacteristic
154#2538C2211yescharacteristic
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic, complemented
159#2537C2211yescharacteristic
160#2537C2212yescomplemented
161#2536C2211yescharacteristic
162#2536C2212yescomplemented
163#2525C2214yescomplemented
164#2522C2214yes—
165#2519C2212yescomplemented
166#2518C2214yescomplemented
167#2515C2214yescomplemented
168#2514C2212yescomplemented
169#2513C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2511C2212yescomplemented
173#2509C2212yescomplemented
174#2509C2212yescomplemented
175#2507C2212yescomplemented
176#2504C2212yes—
177#2504C2212yes—
178#2503C2212yescomplemented
179#2499C2212yescomplemented
180#2497C2212yes—
181#2497C2214yescomplemented
182#2497C2214yescomplemented
183#2496C2212yescomplemented
184#2496C2212yescomplemented
185#2495C2212yes—
186#2495C2212yescomplemented
187#2495C2212yescomplemented
188#2495C2212yescomplemented
189#2494C2212yescomplemented
190#2492C2212yes—
191#2491C2212yes—
192#2491C2212yes—
193#2491C2212yescomplemented
194#2491C2214yescomplemented
195#2491C2211yescharacteristic, complemented
196#2490C2212yes—
197#2489C2211yescharacteristic
198#2487C2212yes—
199#2485C2212yes—
200#2485C2212yescomplemented
201#2481C2214yescomplemented
202#2480C2212yes—
203#2472C2214yes—
204#2469C2214yescomplemented
205#2468C2212yes—
206#2461C2212yes—
207#2459C2214yes—
208#2457C2212yes—
209#2454C2211yescharacteristic
210#2448C2212yes—
211#2447C2211yescharacteristic
212#2446C2212yescomplemented
213#2442C2211yescharacteristic
214#2442C2212yescomplemented
215#2442C2212yescomplemented
216#2441C2212yes—
217#2441C2212yescomplemented
218#2439C2212yescomplemented
219#2439C2212yescomplemented
220#2435C2211yescharacteristic
221#2429C2211yescharacteristic, complemented
222#2427C2211yescharacteristic
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2426C2212yes—
226#2426C2211yescharacteristic
227#2426C2212yescomplemented
228#2423C2212yes—
229#2423C2212yes—
230#2421C2212yescomplemented
231#2421C2212yescomplemented
232#2421C2212yescomplemented
233#2420C2212yes—
234#2420C2212yes—
235#2420C2211yescharacteristic
236#2418C2212yes—
237#2417C2212yes—
238#2417C2211yescharacteristic
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yescomplemented
245#2415C2212yes—
246#2415C2212yescomplemented
247#2414C2212yes—
248#2408C2212yes—
249#2408C2211yescharacteristic
250#2396C2212yescomplemented
251#2395C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2377C2214yescomplemented
255#2363C2212yes—
256#2362C2212yescomplemented
257#2362C2212yescomplemented
258#2362C2212yescomplemented
259#2360C2212yescomplemented
260#2357C2212yescomplemented
261#2355C2211yescharacteristic, complemented
262#2355C2211yescharacteristic, complemented
263#2354C2211yescharacteristic
264#2352C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267#2352C2212yescomplemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269#2347C2212yescomplemented
270#2345C2212yescomplemented
271#2345C2212yescomplemented
272#2337C2214yescomplemented
273#2324C2212yescomplemented
274#2323C2212yes—
275#2323C2212yescomplemented
276#2323C2212yescomplemented
277#2317C2212yes—
278#2316C2212yescomplemented
279#2314C2212yescomplemented
280#2309C2212yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#125C2212yescomplemented
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#120C2212yes—
291#2293C2211yescharacteristic
292#2293C2212yes—
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic, complemented
295#2280C2212yes—
296#2280C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301Q82—44no—
302#555—44no—
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311#529—44no—
312#529—44no—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4—44no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#399C2312yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2314yes—
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#384C2311yescharacteristic
707#384C2314yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#382C2311yescharacteristic
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#381C2312yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#379C2314yes—
765#379C2314yes—
766#379C2312yes—
767#379C2314yes—
768#379C2312yes—
769#379C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4—44no—
838C23×C4—44no—
839C23×C4—44no—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C4⋊Q8—24no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—42no—
859C4⋊Q8—48no—
860C4⋊Q8—84no—
861#126—44no—
862#126—44no—
863#126—84no—
864#126—84no—
865#125—44no—
866#125—42no—
867#125—42no—
868#125—44no—
869#124—42no—
870#124—42no—
871#124—42no—
872#124—42no—
873#124—44no—
874#124—48no—
875#124—48no—
876#124—84no—
877#123—44no—
878#123—44no—
879C22⋊Q8—24no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C22⋊Q8—82no—
893#121—48no—
894#121—42no—
895#121—44no—
896#121—44no—
897#121—42no—
898#121—42no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—84no—
903#120—44no—
904#120—84no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—44no—
909C4×Q8—42no—
910C4×Q8—42no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—82no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—82no—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C42—24no—
1080C2×C42—24no—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187C24C2511yescharacteristic
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—42no—
1223C2×D4—41no—
1224C2×D4—42no—
1225C2×D4—416no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—816no—
1282C22×C42−1+414yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—24no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—41no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—41no—
1468C42—42no—
1469C42—42no—
1470C42—44no—
1471C42—41no—
1472C42—44no—
1473C42—42no—
1474C42—44no—
1475C42—42no—
1476C42—44no—
1477C42H(5,𝔽2)14yes—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—48no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23C2×2−1+412yes—
1519C23#58512yes—
1520C23C2611yescharacteristic
1521Q8—44no—
1522Q8—44no—
1523Q8—44no—
1524Q8—84no—
1525Q8—84no—
1526Q8—164no—
1527D4—48no—
1528D4—44no—
1529D4—44no—
1530D4—44no—
1531D4—44no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—44no—
1628C2×C4—82no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—164no—
1633C2×C4—164no—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×2−1+412yes—
1638C2×C4C2×2−1+412yes—
1639C2×C4#58512yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—816no—
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—44no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—41no—
1711C4—44no—
1712C4—44no—
1713C4#354114yes—
1714C4#355114yes—
1715C2—42no—
1716C2—42no—
1717C2—82no—
1718C2—82no—
1719C2—82no—
1720C2C2×#354111yescharacteristic
1721C2C2×#355111yescharacteristic
1722C2#6283111yescharacteristic
1723C2#6292911yescharacteristic
1724C2#6295711yescharacteristic
1725C2#6296611yescharacteristic
1726C2#6302911yescharacteristic
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. #59659C2semidirect
2. #59302C2semidirect
3. #59257C2semidirect
4. #56015C2semidirect
5. #55110C2semidirect
6. #54891C2semidirect
7. #53104C2semidirect
8. #53058C2semidirect
9. #49444C2semidirect
10. #46072C2semidirect
11. #45598C2semidirect
12. #45208C2semidirect
13. #45162C2semidirect
14. #42982C2semidirect
15. #42959C2semidirect
16. #42726C2semidirect
17. #42719C2semidirect
18. #39908C2semidirect
19. #39597C2semidirect
20. #39240C2semidirect
21. #39193C2semidirect
22. #39125C2semidirect
23. #38961C2semidirect
24. #38922C2semidirect
25. #37856C2semidirect
26. #37620C2semidirect
27. #37365C2semidirect
28. #37282C2semidirect
29. #36590C2semidirect
30. #36189C2semidirect
31. #36160C2semidirect
32. #35185C2semidirect
33. #35172C2semidirect
34. #34919C2semidirect
35. #34700C2semidirect
36. C2×Q82C22semidirect
40. C2×#529C22semidirect
42. #2864C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2836C22semidirect
54. #2831C22semidirect
56. #2827C22semidirect
57. #2823C22semidirect
58. #2821C22semidirect
62. #2793C22semidirect
63. #2793C22semidirect
64. #2791C22semidirect
67. #2779C22semidirect
69. #2774C22semidirect
70. #2766C22semidirect
71. #2764C22semidirect
72. #2757C22semidirect
73. #2751C22semidirect
75. #2750C22semidirect
76. #2750C22semidirect
78. #2746C22semidirect
79. #2744C22semidirect
80. #2743C22semidirect
81. #2741C22semidirect
82. #2741C22semidirect
83. #2740C22semidirect
84. #2740C22semidirect
85. #2738C22semidirect
86. #2737C22semidirect
90. #2731C22semidirect
91. #2731C22semidirect
93. #2716C22semidirect
94. #2716C22semidirect
95. #2715C22semidirect
96. #2715C22semidirect
97. #2713C22semidirect
98. #2691C22semidirect
99. #2686C22semidirect
105. #2674C22semidirect
106. #2672C22semidirect
108. #2654C22semidirect
109. #2652C22semidirect
110. #2651C22semidirect
111. #2650C22semidirect
114. #2629C22semidirect
115. #2629C22semidirect
117. #2628C22semidirect
119. #2625C22semidirect
122. #2620C22semidirect
123. #2618C22semidirect
124. #2594C22semidirect
126. #2582C22semidirect
127. #2581C22semidirect
132. #2574C22semidirect
133. #2573C22semidirect
134. #2573C22semidirect
135. #2571C22semidirect
136. #2570C22semidirect
137. #2570C22semidirect
138. #2567C22semidirect
143. #2558C22semidirect
145. #2551C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2547C22semidirect
149. #2546C22semidirect
150. #2545C22semidirect
151. #2545C22semidirect
158. #2538C22semidirect
160. #2537C22semidirect
162. #2536C22semidirect
163. #2525C22semidirect
165. #2519C22semidirect
166. #2518C22semidirect
167. #2515C22semidirect
168. #2514C22semidirect
172. #2511C22semidirect
173. #2509C22semidirect
174. #2509C22semidirect
175. #2507C22semidirect
178. #2503C22semidirect
179. #2499C22semidirect
181. #2497C22semidirect
182. #2497C22semidirect
183. #2496C22semidirect
184. #2496C22semidirect
186. #2495C22semidirect
187. #2495C22semidirect
188. #2495C22semidirect
189. #2494C22semidirect
193. #2491C22semidirect
194. #2491C22semidirect
195. #2491C22semidirect
200. #2485C22semidirect
201. #2481C22semidirect
204. #2469C22semidirect
212. #2446C22semidirect
214. #2442C22semidirect
215. #2442C22semidirect
217. #2441C22semidirect
218. #2439C22semidirect
219. #2439C22semidirect
221. #2429C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
227. #2426C22semidirect
230. #2421C22semidirect
231. #2421C22semidirect
232. #2421C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
244. #2416C22semidirect
246. #2415C22semidirect
250. #2396C22semidirect
254. #2377C22semidirect
256. #2362C22semidirect
257. #2362C22semidirect
258. #2362C22semidirect
259. #2360C22semidirect
260. #2357C22semidirect
261. #2355C22semidirect
262. #2355C22semidirect
267. #2352C22semidirect
268. D4×C4⋊C4C22semidirect
269. #2347C22semidirect
270. #2345C22semidirect
271. #2345C22semidirect
272. #2337C22semidirect
273. #2324C22semidirect
275. #2323C22semidirect
276. #2323C22semidirect
278. #2316C22semidirect
279. #2314C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#125C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
294. C2×#384C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596592
#593022
#592572
#560152
#551102
#548912
#531042
#530582
#494442
#460722
#455982
#452082
#451622
#429822
#429592
#427262
#427192
#399082
#395972
#392402
#391932
#391252
#389612
#389222
#378562
#376202
#373652
#372822
#365902
#361892
#361602
#351852
#351722
#349192
#347002