Finite Group Databasebeta

← #7780467

Subgroups — #7780467

Order 512.

4978 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59858C212yesmaximal, complemented
3#59822C211yesmaximal, characteristic, complemented
4#59652C211yesmaximal, characteristic, complemented
5#59426C211yesmaximal, characteristic, complemented
6#59200C212yesmaximal, complemented
7#51969C214yesmaximal, complemented
8#50275C214yesmaximal, complemented
9#46693C214yesmaximal, complemented
10#46687C214yesmaximal, complemented
11#45720C212yesmaximal, complemented
12#45600C212yesmaximal, complemented
13#45167C212yesmaximal, complemented
14#45072C212yesmaximal, complemented
15#42974C212yesmaximal, complemented
16#42685C212yesmaximal, complemented
17#40116C212yesmaximal, complemented
18#40011C212yesmaximal, complemented
19#39934C212yesmaximal, complemented
20#39909C212yesmaximal, complemented
21#39507C211yesmaximal, characteristic, complemented
22#39489C211yesmaximal, characteristic, complemented
23#37946C212yesmaximal, complemented
24#37899C212yesmaximal, complemented
25#37278C212yesmaximal, complemented
26#36492C211yesmaximal, characteristic, complemented
27#36411C211yesmaximal, characteristic, complemented
28#36187C211yesmaximal, characteristic, complemented
29#36174C211yesmaximal, characteristic, complemented
30#36160C211yesmaximal, characteristic, complemented
31#36160C211yesmaximal, characteristic, complemented
32#35284C211yesmaximal, characteristic, complemented
33#34914C211yesmaximal, characteristic, complemented
34#34385C212yesmaximal, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#555C2211yescharacteristic, complemented
39C2×#554C2211yescharacteristic, complemented
40C2×#535C2211yescharacteristic
41C2×#529C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2868C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2212yes—
49#2854C2212yescomplemented
50#2851C2212yescomplemented
51#2850C2212yes—
52#2847C2212yes—
53#2847C2212yes—
54#2829C2214yes—
55#2825C2214yes—
56#2808C2214yescomplemented
57#2808C2214yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2803C2214yescomplemented
61#2797C2214yescomplemented
62#2796C2214yescomplemented
63#2787C2214yescomplemented
64#2786C2214yescomplemented
65#2786C2214yescomplemented
66#2781C2214yescomplemented
67#2778C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2752C2214yescomplemented
73#2751C2214yescomplemented
74#2750C2214yescomplemented
75#2749C2214yescomplemented
76#2735C2214yes—
77#2733C2214yescomplemented
78#2730C2214yescomplemented
79#2714C2214yes—
80#2711C2214yes—
81#2710C2214yescomplemented
82#2709C2214yescomplemented
83#2701C2214yescomplemented
84#2697C2214yes—
85#2688C2214yescomplemented
86#2685C2214yes—
87#2685C2214yes—
88#2678C2214yes—
89#2678C2214yes—
90#2676C2214yes—
91#2674C2214yescomplemented
92#2674C2214yescomplemented
93#2673C2214yes—
94#2670C2214yes—
95#2669C2214yes—
96#2661C2214yes—
97#2651C2214yes—
98#2648C2214yes—
99#2648C2214yes—
100#2647C2212yescomplemented
101#2629C2212yes—
102#2620C2212yes—
103#2619C2212yes—
104#2603C2214yescomplemented
105#2602C2214yescomplemented
106#2597C2214yescomplemented
107#2596C2214yescomplemented
108#2595C2214yescomplemented
109#2594C2214yescomplemented
110#2593C2214yescomplemented
111#2592C2212yes—
112#2592C2214yescomplemented
113#2575C2214yescomplemented
114#2573C2214yescomplemented
115#2567C2211yescharacteristic, complemented
116#2563C2211yescharacteristic
117#2563C2211yescharacteristic
118#2563C2211yescharacteristic, complemented
119#2562C2212yes—
120#2560C2212yescomplemented
121#2559C2212yes—
122#2559C2214yescomplemented
123#2558C2212yescomplemented
124#2557C2212yes—
125#2557C2214yescomplemented
126#2554C2214yes—
127#2548C2212yes—
128#2548C2214yescomplemented
129#2547C2212yescomplemented
130#2541C2212yes—
131#2541C2212yescomplemented
132#2540C2212yes—
133#2538C2211yescharacteristic, complemented
134#2537C2211yescharacteristic
135#2537C2211yescharacteristic
136#2537C2212yescomplemented
137#2537C2211yescharacteristic, complemented
138#2537C2212yescomplemented
139#2535C2212yes—
140#2526C2214yescomplemented
141#2526C2214yescomplemented
142#2518C2214yes—
143#2518C2214yescomplemented
144#2516C2214yescomplemented
145#2514C2212yescomplemented
146#2513C2212yes—
147#2513C2212yescomplemented
148#2513C2214yescomplemented
149#2512C2212yes—
150#2512C2211yescharacteristic, complemented
151#2507C2212yescomplemented
152#2507C2212yescomplemented
153#2506C2211yescharacteristic, complemented
154#2501C2212yes—
155#2500C2212yes—
156#2500C2212yescomplemented
157#2499C2212yescomplemented
158#2497C2212yes—
159#2497C2212yes—
160#2496C2211yescharacteristic
161#2496C2212yescomplemented
162#2495C2212yescomplemented
163#2494C2212yescomplemented
164#2491C2211yescharacteristic
165#2491C2214yescomplemented
166#2491C2214yescomplemented
167#2490C2212yes—
168#2490C2212yes—
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2489C2212yescomplemented
172#2485C2212yes—
173#2485C2212yes—
174#2485C2212yes—
175#2485C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2477C2214yescomplemented
180#2474C2214yescomplemented
181#2472C2214yes—
182#2472C2214yes—
183#2469C2214yescomplemented
184#2464C2214yescomplemented
185#2463C2214yes—
186#2461C2214yes—
187#2459C2214yes—
188#2459C2214yes—
189#2452C2211yescharacteristic, complemented
190#2446C2212yescomplemented
191#2446C2212yescomplemented
192#2445C2214yescomplemented
193#2445C2211yescharacteristic, complemented
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2439C2212yescomplemented
198#2429C2212yes—
199#2429C2212yes—
200#2428C2211yescharacteristic
201#2428C2212yescomplemented
202#2426C2214yescomplemented
203#2422C2211yescharacteristic
204#2422C2212yescomplemented
205#2422C2212yescomplemented
206#2422C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yescomplemented
211#2416C2212yes—
212#2415C2212yescomplemented
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2408C2212yes—
223#2408C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2398C2212yescomplemented
227#2392C2212yes—
228#2378C2214yescomplemented
229#2377C2214yes—
230#2373C2214yes—
231#2373C2214yescomplemented
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yescomplemented
235#2363C2212yescomplemented
236#2362C2212yescomplemented
237#2361C2212yescomplemented
238#2355C2212yescomplemented
239#2355C2211yescharacteristic, complemented
240#2355C2212yescomplemented
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2354C2212yescomplemented
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249#2354C2212yescomplemented
250#2352C2212yes—
251#2352C2212yes—
252#2352C2212yes—
253#2352C2212yescomplemented
254#2347C2212yescomplemented
255#2346C2212yescomplemented
256#2337C2214yes—
257#2336C2214yescomplemented
258#2335C2214yes—
259#2335C2214yescomplemented
260#2330C2212yescomplemented
261#2328C2211yescharacteristic
262#2328C2211yescharacteristic
263#2326C2211yescharacteristic
264#2326C2211yescharacteristic
265#2324C2212yes—
266#2324C2212yes—
267#2321C2212yes—
268#2321C2212yes—
269#2317C2211yescharacteristic
270#2317C2212yescomplemented
271#2314C2212yes—
272#2314C2212yescomplemented
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic, complemented
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#120C2212yes—
289C4×#120C2212yes—
290#2296C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2290C2212yescomplemented
293#2285C2212yescomplemented
294#2283C2212yescomplemented
295#2280C2212yes—
296#2280C2212yes—
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—44no—
303#555—44no—
304#555—44no—
305#554—44no—
306#535—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2314yes—
316#529—216no—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C4×#41—44no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4—44no—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×#117C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C42C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416#401C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2312yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#383C2314yes—
725#383C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2314yes—
733#382C2312yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#379C2312yes—
764#379C2312yes—
765#379C2314yes—
766#379C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2311yescharacteristic
814#376C2311yescharacteristic
815#376C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4—42no—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4—44no—
851C23×C4—44no—
852C23×C4—44no—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—42no—
872C4⋊Q8—82no—
873C4⋊Q8—82no—
874#127—24no—
875#127—24no—
876#127—42no—
877#127—84no—
878#126—28no—
879#126—28no—
880#126—84no—
881#125—28no—
882#125—44no—
883#125—44no—
884#124—28no—
885#124—24no—
886#124—24no—
887#124—48no—
888#124—48no—
889#124—48no—
890#124—84no—
891#123—28no—
892#123—28no—
893#123—84no—
894#123—84no—
895#123—84no—
896C22⋊Q8—28no—
897C22⋊Q8—48no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—82no—
901C22⋊Q8—82no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—44no—
906#121—42no—
907#121—44no—
908#121—44no—
909#121—42no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—84no—
920#121—84no—
921#121—84no—
922#120—28no—
923#120—28no—
924#120—84no—
925#120—84no—
926C4×Q8—28no—
927C4×Q8—24no—
928C4×Q8—42no—
929C4×Q8—82no—
930C4×Q8—82no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—84no—
955#117—28no—
956#117—42no—
957#117—44no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—42no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117#4118yes—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C42—28no—
1106C2×C42—24no—
1107C2×C42—44no—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24—24no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24—42no—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2512yes—
1208C24C2511yescharacteristic
1209#41—416no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—416no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—816no—
1334C22×C4C2×#4114yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4C2×#4114yes—
1420C4⋊C4C2×#4114yes—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4C2×#4114yes—
1496C22⋊C4C2×#4114yes—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—42no—
1512C42—42no—
1513C42—44no—
1514C42—44no—
1515C42—44no—
1516C42—44no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—41no—
1521C42—41no—
1522C42—44no—
1523C42—44no—
1524C42—41no—
1525C42—41no—
1526C42C2×#4114yes—
1527C42C2×#4114yes—
1528C42H(5,𝔽2)14yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—48no—
1571C23—84no—
1572C23—84no—
1573C23—84no—
1574C23—84no—
1575C23—84no—
1576C23—84no—
1577C23C22×#4112yes—
1578C23C2611yescharacteristic
1579Q8—44no—
1580Q8—84no—
1581Q8—84no—
1582Q8—84no—
1583D4—48no—
1584D4—48no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—44no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—84no—
1598D4—88no—
1599D4—164no—
1600D4—164no—
1601D4—164no—
1602D4—164no—
1603D4—164no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—28no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—24no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—44no—
1687C2×C4—84no—
1688C2×C4—84no—
1689C2×C4—82no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—84no—
1694C2×C4—164no—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4#58512yes—
1705C2×C4#58512yes—
1706C2×C4#58512yes—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—816no—
1750C22C23×#4111yescharacteristic
1751C22C22×H(5,𝔽2)11yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22C2×#58511yescharacteristic
1754C22C2×#58511yescharacteristic
1755C22H(7,𝔽2)11yescharacteristic
1756C22H(7,𝔽2)11yescharacteristic
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—41no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—44no—
1777C4—44no—
1778C4—41no—
1779C4—41no—
1780C4—44no—
1781C4—41no—
1782C4—41no—
1783C4—44no—
1784C4#350614yes—
1785C4#356214yes—
1786C2—42no—
1787C2—82no—
1788C2—82no—
1789C2—82no—
1790C2—82no—
1791C2—82no—
1792C2C2×#356211yescharacteristic
1793C2C2×#350611yescharacteristic
1794C2#6288011yescharacteristic
1795C2#6293711yescharacteristic
1796C2#6293811yescharacteristic
1797C2#6299411yescharacteristic
1798C2#6299411yescharacteristic
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. #59863C2semidirect
2. #59858C2semidirect
3. #59822C2semidirect
4. #59652C2semidirect
5. #59426C2semidirect
6. #59200C2semidirect
7. #51969C2semidirect
8. #50275C2semidirect
9. #46693C2semidirect
10. #46687C2semidirect
11. #45720C2semidirect
12. #45600C2semidirect
13. #45167C2semidirect
14. #45072C2semidirect
15. #42974C2semidirect
16. #42685C2semidirect
17. #40116C2semidirect
18. #40011C2semidirect
19. #39934C2semidirect
20. #39909C2semidirect
21. #39507C2semidirect
22. #39489C2semidirect
23. #37946C2semidirect
24. #37899C2semidirect
25. #37278C2semidirect
26. #36492C2semidirect
27. #36411C2semidirect
28. #36187C2semidirect
29. #36174C2semidirect
30. #36160C2semidirect
31. #36160C2semidirect
32. #35284C2semidirect
33. #34914C2semidirect
34. #34385C2semidirect
35. C4×#535C2semidirect
38. C2×#555C22semidirect
39. C2×#554C22semidirect
44. #2868C22semidirect
45. #2859C22semidirect
49. #2854C22semidirect
50. #2851C22semidirect
56. #2808C22semidirect
57. #2808C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2803C22semidirect
61. #2797C22semidirect
62. #2796C22semidirect
63. #2787C22semidirect
64. #2786C22semidirect
65. #2786C22semidirect
66. #2781C22semidirect
67. #2778C22semidirect
68. #2759C22semidirect
69. #2757C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2752C22semidirect
73. #2751C22semidirect
74. #2750C22semidirect
75. #2749C22semidirect
77. #2733C22semidirect
78. #2730C22semidirect
81. #2710C22semidirect
82. #2709C22semidirect
83. #2701C22semidirect
85. #2688C22semidirect
91. #2674C22semidirect
92. #2674C22semidirect
100. #2647C22semidirect
104. #2603C22semidirect
105. #2602C22semidirect
106. #2597C22semidirect
107. #2596C22semidirect
108. #2595C22semidirect
109. #2594C22semidirect
110. #2593C22semidirect
112. #2592C22semidirect
113. #2575C22semidirect
114. #2573C22semidirect
115. #2567C22semidirect
118. #2563C22semidirect
120. #2560C22semidirect
122. #2559C22semidirect
123. #2558C22semidirect
125. #2557C22semidirect
128. #2548C22semidirect
129. #2547C22semidirect
131. #2541C22semidirect
133. #2538C22semidirect
136. #2537C22semidirect
137. #2537C22semidirect
138. #2537C22semidirect
140. #2526C22semidirect
141. #2526C22semidirect
143. #2518C22semidirect
144. #2516C22semidirect
145. #2514C22semidirect
147. #2513C22semidirect
148. #2513C22semidirect
150. #2512C22semidirect
151. #2507C22semidirect
152. #2507C22semidirect
153. #2506C22semidirect
156. #2500C22semidirect
157. #2499C22semidirect
161. #2496C22semidirect
162. #2495C22semidirect
163. #2494C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2489C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2477C22semidirect
180. #2474C22semidirect
183. #2469C22semidirect
184. #2464C22semidirect
189. #2452C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
197. #2439C22semidirect
201. #2428C22semidirect
202. #2426C22semidirect
204. #2422C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2421C22semidirect
210. #2420C22semidirect
212. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
226. #2398C22semidirect
228. #2378C22semidirect
231. #2373C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
253. #2352C22semidirect
254. #2347C22semidirect
255. #2346C22semidirect
257. #2336C22semidirect
259. #2335C22semidirect
260. #2330C22semidirect
270. #2317C22semidirect
272. #2314C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
287. C4×#121C22semidirect
290. #2296C22semidirect
291. #2293C22semidirect
292. #2290C22semidirect
293. #2285C22semidirect
294. #2283C22semidirect
297. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#598582
#598222
#596522
#594262
#592002
#519692
#502752
#466932
#466872
#457202
#456002
#451672
#450722
#429742
#426852
#401162
#400112
#399342
#399092
#395072
#394892
#379462
#378992
#372782
#364922
#364112
#361872
#361742
#361602
#352842
#349142
#343852
C4×#5352