Finite Group Databasebeta

← #8464333

Subgroups — #8464333

Order 512.

5235 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59411C211yesmaximal, characteristic, complemented
2#59259C211yesmaximal, characteristic, complemented
3#59214C211yesmaximal, characteristic, complemented
4#56624C214yesmaximal, complemented
5#54928C214yesmaximal, complemented
6#53522C214yesmaximal, complemented
7#53049C212yesmaximal, complemented
8#53044C212yesmaximal, complemented
9#49962C214yesmaximal, complemented
10#45676C212yesmaximal, complemented
11#45649C212yesmaximal, complemented
12#45060C212yesmaximal, complemented
13#44897C212yesmaximal, complemented
14#42909C212yesmaximal, complemented
15#42646C212yesmaximal, complemented
16#42578C212yesmaximal, complemented
17#42565C212yesmaximal, complemented
18#40170C212yesmaximal, complemented
19#39725C212yesmaximal, complemented
20#39694C212yesmaximal, complemented
21#39377C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39137C211yesmaximal, characteristic, complemented
24#39137C211yesmaximal, characteristic, complemented
25#37781C212yesmaximal, complemented
26#37621C211yesmaximal, characteristic, complemented
27#37316C212yesmaximal, complemented
28#37301C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36187C211yesmaximal, characteristic, complemented
31#36134C211yesmaximal, characteristic, complemented
32#35189C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#555C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#542C2212yes—
41C2×#540C2212yes—
42C2×#537C2212yes—
43C2×#533C2212yes—
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2868C2211yescharacteristic
49#2857C2212yes—
50#2856C2212yes—
51#2856C2212yes—
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2854C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2837C2214yes—
58#2837C2214yes—
59#2830C2214yes—
60#2829C2214yes—
61#2828C2214yes—
62#2816C2214yes—
63#2813C2214yes—
64#2813C2214yes—
65#2808C2214yes—
66#2804C2214yes—
67#2803C2214yes—
68#2788C2214yes—
69#2786C2214yes—
70#2780C2214yes—
71#2768C2214yes—
72#2753C2214yes—
73#2752C2214yes—
74#2748C2214yes—
75#2742C2214yes—
76#2741C2214yes—
77#2739C2214yes—
78#2733C2214yes—
79#2730C2214yes—
80#2718C2214yes—
81#2714C2214yes—
82#2711C2214yes—
83#2711C2214yes—
84#2711C2214yes—
85#2705C2214yes—
86#2705C2214yes—
87#2705C2214yes—
88#2705C2214yes—
89#2704C2214yes—
90#2703C2214yes—
91#2703C2214yes—
92#2701C2214yes—
93#2701C2214yes—
94#2682C2214yes—
95#2682C2214yes—
96#2682C2214yes—
97#2681C2214yes—
98#2681C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2676C2214yes—
102#2676C2214yes—
103#2676C2214yes—
104#2675C2214yes—
105#2674C2214yes—
106#2673C2214yes—
107#2673C2214yes—
108#2672C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2662C2214yes—
115#2661C2214yes—
116#2661C2214yes—
117#2656C2214yes—
118#2635C2214yes—
119#2630C2214yes—
120#2628C2212yes—
121#2628C2212yes—
122#2624C2214yes—
123#2620C2212yes—
124#2620C2212yes—
125#2619C2214yes—
126#2619C2212yes—
127#2616C2212yes—
128#2615C2212yes—
129#2615C2212yes—
130#2601C2214yes—
131#2587C2214yes—
132#2585C2214yes—
133#2582C2211yescharacteristic
134#2580C2214yes—
135#2566C2212yes—
136#2565C2212yes—
137#2564C2214yes—
138#2563C2212yes—
139#2562C2212yes—
140#2559C2212yes—
141#2557C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2550C2211yescharacteristic
145#2548C2214yes—
146#2548C2212yes—
147#2548C2212yes—
148#2544C2212yes—
149#2544C2211yescharacteristic
150#2542C2212yes—
151#2541C2212yes—
152#2541C2212yes—
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2540C2212yes—
156#2540C2212yes—
157#2540C2211yescharacteristic
158#2540C2212yes—
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2212yes—
163#2538C2211yescharacteristic
164#2537C2212yes—
165#2537C2212yes—
166#2537C2212yes—
167#2537C2212yes—
168#2537C2211yescharacteristic
169#2537C2211yescharacteristic
170#2537C2212yes—
171#2535C2211yescharacteristic
172#2521C2212yes—
173#2516C2214yes—
174#2509C2212yes—
175#2508C2212yes—
176#2507C2212yes—
177#2505C2214yes—
178#2501C2212yes—
179#2500C2212yes—
180#2500C2212yes—
181#2498C2214yes—
182#2497C2212yes—
183#2497C2212yes—
184#2496C2212yes—
185#2492C2211yescharacteristic
186#2491C2212yes—
187#2491C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2491C2212yes—
191#2490C2212yes—
192#2490C2211yescharacteristic
193#2487C2212yes—
194#2485C2212yes—
195#2479C2214yes—
196#2478C2212yes—
197#2476C2214yes—
198#2476C2214yes—
199#2471C2214yes—
200#2470C2212yes—
201#2466C2212yes—
202#2465C2214yes—
203#2464C2214yes—
204#2464C2212yes—
205#2455C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2453C2211yescharacteristic
209#2452C2212yes—
210#2447C2212yes—
211#2447C2211yescharacteristic
212#2445C2212yes—
213#2441C2214yes—
214#2441C2212yes—
215#2441C2212yes—
216#2441C2211yescharacteristic
217#2440C2212yes—
218#2432C2212yes—
219#2432C2211yescharacteristic
220#2429C2214yes—
221#2429C2211yescharacteristic
222#2428C2214yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2211yescharacteristic
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2427C2212yes—
232#2427C2211yescharacteristic
233#2426C2214yes—
234#2426C2212yes—
235#2426C2212yes—
236#2425C2214yes—
237#2423C2212yes—
238#2423C2212yes—
239#2423C2212yes—
240#2423C2212yes—
241#2422C2212yes—
242#2422C2212yes—
243#2422C2212yes—
244#2422C2211yescharacteristic
245#2416C2212yes—
246#2415C2211yescharacteristic
247#2415C2212yes—
248#2414C2214yes—
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yes—
252#2414C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2407C2211yescharacteristic
256#2395C2212yes—
257#2395C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2376C2214yes—
261#2365C2212yes—
262#2363C2212yes—
263#2362C2212yes—
264#2360C2212yes—
265#2355C2212yes—
266#2354C2212yes—
267#2354C2212yes—
268#2354C2212yes—
269Q8×C4⋊C4C2211yescharacteristic
270Q8×C4⋊C4C2211yescharacteristic
271Q8×C4⋊C4C2211yescharacteristic
272#2349C2212yes—
273D4×C4⋊C4C2211yescharacteristic
274#2341C2212yes—
275#2339C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2324C2214yes—
280#2324C2212yes—
281#2323C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292#2297C2212yes—
293#2296C2212yes—
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302#559—44no—
303#555—48no—
304#550—44no—
305#550—48no—
306#542—48no—
307#540—48no—
308#537—48no—
309#533—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2314yes—
321C2×#127C2312yes—
322#529—44no—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C4×#41—44no—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2314yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2314yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2312yes—
443C22×C42C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2314yes—
449#400C2312yes—
450#400C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2312yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2312yes—
483#397C2312yes—
484#397C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#396C2314yes—
500#395C2312yes—
501#395C2314yes—
502#395C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#393C2312yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#392C2312yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2312yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2314yes—
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2314yes—
754#382C2311yescharacteristic
755#381C2314yes—
756#381C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C4⋊Q8—24no—
879C4⋊Q8—28no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—82no—
883#127—24no—
884#127—42no—
885#127—44no—
886#127—44no—
887#127—44no—
888#127—48no—
889#126—44no—
890#126—44no—
891#126—48no—
892#125—42no—
893#125—42no—
894#125—44no—
895#125—48no—
896#124—24no—
897#124—44no—
898#124—42no—
899#124—42no—
900#124—44no—
901#124—44no—
902#124—48no—
903#124—48no—
904#124—48no—
905#123—48no—
906#123—44no—
907#123—48no—
908#123—44no—
909#123—44no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—84no—
914C22⋊Q8—28no—
915C22⋊Q8—24no—
916C22⋊Q8—24no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—42no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—84no—
927#121—28no—
928#121—24no—
929#121—44no—
930#121—48no—
931#121—44no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—42no—
941#121—42no—
942#121—42no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—48no—
957#121—84no—
958#121—82no—
959#121—82no—
960#121—84no—
961#121—84no—
962#121—84no—
963C4×Q8—28no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—48no—
968C4×Q8—42no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—28no—
977C4×D4—24no—
978C4×D4—42no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—42no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—48no—
993C4×D4—44no—
994#117—28no—
995#117—44no—
996#117—44no—
997#117—44no—
998#117—48no—
999#117—42no—
1000#117—48no—
1001#117—44no—
1002#117—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C42—24no—
1142C2×C42—24no—
1143C2×C42—44no—
1144C2×C42—44no—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228C24C2511yescharacteristic
1229C24C2514yes—
1230#41—416no—
1231#41—816no—
1232#41—816no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—28no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—44no—
1243C2×Q8—42no—
1244C2×Q8—44no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8H(5,𝔽2)14yes—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—42no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—28no—
1350C22×C4—24no—
1351C22×C4—28no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2514yes—
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C42−1+414yes—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—22no—
1485C22⋊C4—28no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—24no—
1548C42—24no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—28no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—42no—
1560C42—44no—
1561C42—44no—
1562C42—44no—
1563C42—44no—
1564C42—41no—
1565C42H(5,𝔽2)14yes—
1566C42H(5,𝔽2)14yes—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—22no—
1578C23—21no—
1579C23—24no—
1580C23—24no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—24no—
1594C23—21no—
1595C23—22no—
1596C23—21no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—21no—
1608C23—24no—
1609C23C2611yescharacteristic
1610Q8—28no—
1611Q8—44no—
1612Q8—44no—
1613Q8—88no—
1614Q8—84no—
1615D4—44no—
1616D4—48no—
1617D4—44no—
1618D4—48no—
1619D4—48no—
1620D4—44no—
1621D4—44no—
1622D4—88no—
1623D4—84no—
1624D4—84no—
1625D4—88no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—164no—
1633D4—164no—
1634D4—164no—
1635D4—164no—
1636D4—164no—
1637D4—164no—
1638D4—164no—
1639D4—164no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—48no—
1724C2×C4—88no—
1725C2×C4—84no—
1726C2×C4—82no—
1727C2×C4—82no—
1728C2×C4—88no—
1729C2×C4—84no—
1730C2×C4—164no—
1731C2×C4—164no—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)14yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×2−1+414yes—
1741C2×C4C2×2−1+412yes—
1742C2×C4#58512yes—
1743C2×C4#58512yes—
1744C22—42no—
1745C22—41no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—41no—
1756C22—44no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—44no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—44no—
1772C22—42no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—41no—
1779C22—42no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—44no—
1786C22C22×H(5,𝔽2)11yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×2−1+411yescharacteristic
1790C22C2×#58511yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22H(7,𝔽2)11yescharacteristic
1793C4—22no—
1794C4—24no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—24no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—44no—
1808C4—44no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4#354214yes—
1821C4#354814yes—
1822C2—81no—
1823C2—82no—
1824C2—81no—
1825C2—82no—
1826C2—84no—
1827C2—82no—
1828C2C2×#354211yescharacteristic
1829C2C2×#354811yescharacteristic
1830C2#6283611yescharacteristic
1831C2#6291611yescharacteristic
1832C2#6293011yescharacteristic
1833C2#6295211yescharacteristic
1834C2#6301511yescharacteristic
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. #59411C2semidirect
2. #59259C2semidirect
3. #59214C2semidirect
4. #56624C2semidirect
5. #54928C2semidirect
6. #53522C2semidirect
7. #53049C2semidirect
8. #53044C2semidirect
9. #49962C2semidirect
10. #45676C2semidirect
11. #45649C2semidirect
12. #45060C2semidirect
13. #44897C2semidirect
14. #42909C2semidirect
15. #42646C2semidirect
16. #42578C2semidirect
17. #42565C2semidirect
18. #40170C2semidirect
19. #39725C2semidirect
20. #39694C2semidirect
21. #39377C2semidirect
22. #39341C2semidirect
23. #39137C2semidirect
24. #39137C2semidirect
25. #37781C2semidirect
26. #37621C2semidirect
27. #37316C2semidirect
28. #37301C2semidirect
29. #36455C2semidirect
30. #36187C2semidirect
31. #36134C2semidirect
32. #35189C2semidirect
33. #35171C2semidirect
34. #34889C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#594112
#592592
#592142
#566242
#549282
#535222
#530492
#530442
#499622
#456762
#456492
#450602
#448972
#429092
#426462
#425782
#425652
#401702
#397252
#396942
#393772
#393412
#391372
#377812
#376212
#373162
#373012
#364552
#361872
#361342
#351892
#351712
#348892
#347242