Finite Group Databasebeta

← #8463244

Subgroups — #8463244

Order 512.

5499 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59652C211yesmaximal, characteristic, complemented
2#59314C211yesmaximal, characteristic, complemented
3#59313C211yesmaximal, characteristic, complemented
4#57270C214yesmaximal, complemented
5#55000C214yesmaximal, complemented
6#54073C214yesmaximal, complemented
7#52963C212yesmaximal, complemented
8#52959C212yesmaximal, complemented
9#51888C214yesmaximal, complemented
10#45656C212yesmaximal, complemented
11#45631C212yesmaximal, complemented
12#45356C212yesmaximal, complemented
13#44869C212yesmaximal, complemented
14#42577C212yesmaximal, complemented
15#42508C212yesmaximal, complemented
16#42477C212yesmaximal, complemented
17#42448C212yesmaximal, complemented
18#39633C211yesmaximal, characteristic, complemented
19#39469C211yesmaximal, characteristic, complemented
20#39359C212yesmaximal, complemented
21#39340C212yesmaximal, complemented
22#39126C211yesmaximal, characteristic, complemented
23#38922C211yesmaximal, characteristic, complemented
24#38099C212yesmaximal, complemented
25#37780C212yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37348C212yesmaximal, complemented
28#37307C212yesmaximal, complemented
29#36275C211yesmaximal, characteristic, complemented
30#36180C211yesmaximal, characteristic, complemented
31#36127C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#554C2212yes—
39C2×#554C2212yes—
40C2×#547C2212yes—
41C2×#547C2212yes—
42C2×#547C2212yes—
43C2×#537C2212yes—
44C2×#537C2214yes—
45C2×#532C2212yes—
46C2×#532C2211yescharacteristic
47C2×#529C2211yescharacteristic
48C2×#529C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50#2868C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2857C2211yescharacteristic
54#2857C2212yes—
55#2857C2212yes—
56#2856C2212yes—
57#2855C2212yes—
58#2855C2212yes—
59#2837C2214yes—
60#2836C2214yes—
61#2831C2214yes—
62#2827C2214yes—
63#2827C2214yes—
64#2826C2214yes—
65#2823C2214yes—
66#2814C2214yes—
67#2806C2214yes—
68#2806C2214yes—
69#2803C2214yes—
70#2802C2214yes—
71#2790C2214yes—
72#2788C2214yes—
73#2751C2214yes—
74#2748C2214yes—
75#2748C2214yes—
76#2747C2214yes—
77#2743C2214yes—
78#2740C2214yes—
79#2732C2214yes—
80#2732C2214yes—
81#2732C2214yes—
82#2730C2214yes—
83#2729C2214yes—
84#2720C2214yes—
85#2715C2214yes—
86#2712C2214yes—
87#2711C2214yes—
88#2711C2214yes—
89#2708C2214yes—
90#2707C2214yes—
91#2704C2214yes—
92#2704C2214yes—
93#2702C2214yes—
94#2701C2214yes—
95#2700C2214yes—
96#2699C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2688C2214yes—
100#2687C2214yes—
101#2683C2214yes—
102#2683C2214yes—
103#2682C2214yes—
104#2681C2214yes—
105#2681C2214yes—
106#2681C2214yes—
107#2681C2214yes—
108#2680C2214yes—
109#2676C2214yes—
110#2676C2214yes—
111#2672C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2671C2214yes—
115#2671C2214yes—
116#2665C2214yes—
117#2649C2214yes—
118#2647C2212yes—
119#2635C2214yes—
120#2630C2214yes—
121#2629C2212yes—
122#2629C2212yes—
123#2629C2212yes—
124#2624C2212yes—
125#2620C2214yes—
126#2620C2212yes—
127#2620C2212yes—
128#2618C2214yes—
129#2618C2214yes—
130#2616C2214yes—
131#2615C2212yes—
132#2582C2211yescharacteristic
133#2567C2211yescharacteristic
134#2567C2212yes—
135#2563C2211yescharacteristic
136#2562C2212yes—
137#2559C2212yes—
138#2557C2212yes—
139#2552C2212yes—
140#2552C2212yes—
141#2551C2211yescharacteristic
142#2550C2211yescharacteristic
143#2549C2214yes—
144#2547C2212yes—
145#2544C2211yescharacteristic
146#2542C2212yes—
147#2540C2212yes—
148#2540C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2538C2212yes—
152#2538C2211yescharacteristic
153#2537C2211yescharacteristic
154#2537C2212yes—
155#2537C2212yes—
156#2537C2211yescharacteristic
157#2537C2211yescharacteristic
158#2537C2212yes—
159#2537C2212yes—
160#2536C2212yes—
161#2535C2211yescharacteristic
162#2535C2212yes—
163#2521C2212yes—
164#2509C2212yes—
165#2506C2212yes—
166#2502C2212yes—
167#2502C2212yes—
168#2502C2212yes—
169#2497C2212yes—
170#2497C2212yes—
171#2492C2211yescharacteristic
172#2492C2212yes—
173#2492C2212yes—
174#2490C2212yes—
175#2490C2211yescharacteristic
176#2487C2212yes—
177#2487C2212yes—
178#2486C2212yes—
179#2486C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2479C2212yes—
183#2473C2214yes—
184#2471C2212yes—
185#2467C2212yes—
186#2465C2214yes—
187#2464C2214yes—
188#2464C2212yes—
189#2456C2214yes—
190#2456C2214yes—
191#2456C2212yes—
192#2454C2211yescharacteristic
193#2453C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2451C2212yes—
197#2450C2214yes—
198#2449C2214yes—
199#2449C2214yes—
200#2448C2211yescharacteristic
201#2442C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2441C2211yescharacteristic
205#2441C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2439C2212yes—
216#2438C2214yes—
217#2432C2214yes—
218#2431C2211yescharacteristic
219#2430C2214yes—
220#2430C2214yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2211yescharacteristic
224#2428C2211yescharacteristic
225#2427C2212yes—
226#2427C2211yescharacteristic
227#2426C2214yes—
228#2426C2212yes—
229#2423C2212yes—
230#2423C2211yescharacteristic
231#2422C2214yes—
232#2422C2212yes—
233#2422C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2214yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2416C2214yes—
249#2415C2212yes—
250#2415C2212yes—
251#2414C2212yes—
252#2414C2211yescharacteristic
253#2407C2214yes—
254#2407C2214yes—
255#2407C2211yescharacteristic
256#2407C2214yes—
257#2406C2214yes—
258#2397C2212yes—
259#2395C2212yes—
260#2392C2212yes—
261#2388C2212yes—
262#2378C2214yes—
263#2363C2212yes—
264#2361C2212yes—
265#2352C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2212yes—
274#2339C2212yes—
275#2331C2212yes—
276#2326C2212yes—
277#2324C2212yes—
278#2319C2212yes—
279#2316C2212yes—
280#2311C2212yes—
281#2311C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2295C2211yescharacteristic
293C2×#389C2212yes—
294#2290C2212yes—
295C2×#384C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2314yes—
303#555—44no—
304#554—48no—
305#554—44no—
306#554—48no—
307#547—48no—
308#547—48no—
309#547—48no—
310#537—416no—
311#537—48no—
312#532—44no—
313#532—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323#529—44no—
324#529—44no—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2314yes—
395C4×#41—44no—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2314yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2312yes—
448C22×C42C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2312yes—
455#400C2314yes—
456#400C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#399C2312yes—
463#399C2312yes—
464#399C2312yes—
465#399C2312yes—
466#399C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2312yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2312yes—
497#397C2314yes—
498#397C2312yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2312yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2314yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2312yes—
562#393C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2312yes—
567#392C2312yes—
568#392C2312yes—
569#392C2312yes—
570#392C2312yes—
571#392C2312yes—
572#392C2312yes—
573#392C2312yes—
574#392C2314yes—
575#391C2312yes—
576#391C2314yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#391C2314yes—
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2314yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2314yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2311yescharacteristic
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2312yes—
755#384C2312yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821#376C2312yes—
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—48no—
830C2×#41—48no—
831C2×#41—48no—
832C2×#41—48no—
833C2×#41—42no—
834C2×#41—48no—
835C2×#41—48no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×Q8C2414yes—
841C22×Q8C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C4⋊Q8—28no—
884C4⋊Q8—24no—
885C4⋊Q8—42no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890#127—24no—
891#127—42no—
892#126—44no—
893#126—44no—
894#125—42no—
895#125—42no—
896#125—44no—
897#125—48no—
898#125—48no—
899#124—24no—
900#124—44no—
901#124—42no—
902#124—42no—
903#124—48no—
904#124—48no—
905#123—48no—
906#123—48no—
907#123—44no—
908#123—44no—
909#123—48no—
910#123—48no—
911#123—48no—
912#123—48no—
913C22⋊Q8—24no—
914C22⋊Q8—216no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—44no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—48no—
934#121—28no—
935#121—28no—
936#121—24no—
937#121—24no—
938#121—24no—
939#121—28no—
940#121—28no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—48no—
949#121—42no—
950#121—42no—
951#121—44no—
952#121—42no—
953#121—42no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—48no—
961#121—48no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—44no—
965C4×Q8—42no—
966C4×Q8—44no—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
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—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—48no—
992C4×D4—48no—
993C4×D4—48no—
994#117—44no—
995#117—44no—
996#117—44no—
997#117—42no—
998#117—44no—
999#117—44no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—28no—
1002C2×C4⋊C4—48no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—44no—
1152C2×C42—44no—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237#41—416no—
1238#41—816no—
1239#41—832no—
1240#41—832no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—28no—
1246C2×Q8—28no—
1247C2×Q8—24no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×Q8—42no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—42no—
1257C2×Q8—44no—
1258C2×Q8—42no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4H(5,𝔽2)14yes—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—28no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—28no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C42−1+414yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2514yes—
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4H(5,𝔽2)14yes—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—22no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4H(5,𝔽2)14yes—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—22no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—42no—
1567C42—41no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42H(5,𝔽2)14yes—
1572C422−1+414yes—
1573C23—21no—
1574C23—21no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23C2×H(5,𝔽2)14yes—
1613C23C2×H(5,𝔽2)12yes—
1614C23C2×2−1+412yes—
1615C23C2611yescharacteristic
1616Q8—44no—
1617Q8—44no—
1618Q8—84no—
1619Q8—84no—
1620Q8—88no—
1621Q8—88no—
1622D4—28no—
1623D4—28no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—48no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—84no—
1634D4—84no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—88no—
1641D4—88no—
1642D4—164no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—28no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—44no—
1721C2×C4—48no—
1722C2×C4—416no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4—88no—
1735C2×C4—164no—
1736C2×C4—164no—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)14yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4C2×2−1+412yes—
1748C2×C4C2×2−1+412yes—
1749C2×C4C2×2−1+412yes—
1750C22—22no—
1751C22—24no—
1752C22—24no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—24no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—41no—
1764C22—42no—
1765C22—42no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22C22×H(5,𝔽2)11yescharacteristic
1793C22C22×H(5,𝔽2)11yescharacteristic
1794C22C22×H(5,𝔽2)11yescharacteristic
1795C22C22×H(5,𝔽2)11yescharacteristic
1796C22C22×2−1+411yescharacteristic
1797C22C22×2−1+411yescharacteristic
1798C222−1+611yescharacteristic
1799C4—22no—
1800C4—24no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—44no—
1811C4—42no—
1812C4—44no—
1813C4—44no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—41no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—44no—
1825C4—42no—
1826C4#353614yes—
1827C4#354814yes—
1828C2—42no—
1829C2—44no—
1830C2—42no—
1831C2—82no—
1832C2—82no—
1833C2—82no—
1834C2C2×#353611yescharacteristic
1835C2C2×#354811yescharacteristic
1836C2#6283311yescharacteristic
1837C2#6291311yescharacteristic
1838C2#6291411yescharacteristic
1839C2#6291511yescharacteristic
1840C2#6301111yescharacteristic
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. #59652C2semidirect
2. #59314C2semidirect
3. #59313C2semidirect
4. #57270C2semidirect
5. #55000C2semidirect
6. #54073C2semidirect
7. #52963C2semidirect
8. #52959C2semidirect
9. #51888C2semidirect
10. #45656C2semidirect
11. #45631C2semidirect
12. #45356C2semidirect
13. #44869C2semidirect
14. #42577C2semidirect
15. #42508C2semidirect
16. #42477C2semidirect
17. #42448C2semidirect
18. #39633C2semidirect
19. #39469C2semidirect
20. #39359C2semidirect
21. #39340C2semidirect
22. #39126C2semidirect
23. #38922C2semidirect
24. #38099C2semidirect
25. #37780C2semidirect
26. #37620C2semidirect
27. #37348C2semidirect
28. #37307C2semidirect
29. #36275C2semidirect
30. #36180C2semidirect
31. #36127C2semidirect
32. #35273C2semidirect
33. #35177C2semidirect
34. #34889C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#596522
#593142
#593132
#572702
#550002
#540732
#529632
#529592
#518882
#456562
#456312
#453562
#448692
#425772
#425082
#424772
#424482
#396332
#394692
#393592
#393402
#391262
#389222
#380992
#377802
#376202
#373482
#373072
#362752
#361802
#361272
#352732
#351772
#348892
#347272