Finite Group Databasebeta

← #8110424

Subgroups — #8110424

Order 512.

5532 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59022C212yesmaximal, complemented
2#59004C212yesmaximal, complemented
3#53303C212yesmaximal, complemented
4#53297C212yesmaximal, complemented
5#53238C214yesmaximal, complemented
6#45643C214yesmaximal, complemented
7#45642C212yesmaximal, complemented
8#45639C212yesmaximal, complemented
9#45563C214yesmaximal, complemented
10#39937C212yesmaximal, complemented
11#39888C212yesmaximal, complemented
12#39551C212yesmaximal, complemented
13#39511C211yesmaximal, characteristic, complemented
14#39487C211yesmaximal, characteristic, complemented
15#39414C212yesmaximal, complemented
16#39384C211yesmaximal, characteristic, complemented
17#39358C211yesmaximal, characteristic, complemented
18#38545C214yesmaximal, complemented
19#38124C212yesmaximal, complemented
20#38084C212yesmaximal, complemented
21#38061C212yesmaximal, complemented
22#38034C212yesmaximal, complemented
23#37341C212yesmaximal, complemented
24#37331C212yesmaximal, complemented
25#37218C212yesmaximal, complemented
26#37154C212yesmaximal, complemented
27#36722C212yesmaximal, complemented
28#36721C212yesmaximal, complemented
29#36624C211yesmaximal, characteristic, complemented
30#36621C211yesmaximal, characteristic, complemented
31C2×#2854C211yesmaximal, characteristic, complemented
32C2×#552C2212yescomplemented
33C2×#546C2212yescomplemented
34C2×D42C2212yes—
35C2×#539C2212yescomplemented
36C2×#534C2212yes—
37C2×#532C2211yescharacteristic, complemented
38C2×#529C2211yescharacteristic, complemented
39C2×#525C2212yescomplemented
40C22×#123C2212yescomplemented
41C22×#121C2211yescharacteristic
42C23×C42C2211yescharacteristic, complemented
43#2857C2211yescharacteristic, complemented
44#2857C2211yescharacteristic, complemented
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic, complemented
47#2855C2211yescharacteristic, complemented
48#2854C2212yescomplemented
49#2854C2212yescomplemented
50#2854C2212yescomplemented
51#2854C2212yescomplemented
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2854C2211yescharacteristic, complemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2853C2212yescomplemented
60#2852C2212yescomplemented
61#2852C2212yescomplemented
62#2851C2211yescharacteristic, complemented
63#2851C2211yescharacteristic, complemented
64#2850C2211yescharacteristic
65#2850C2211yescharacteristic, complemented
66#2850C2212yescomplemented
67#2850C2212yescomplemented
68#2849C2212yescomplemented
69#2848C2211yescharacteristic, complemented
70#2847C2211yescharacteristic
71#2847C2212yescomplemented
72#2847C2212yescomplemented
73#2826C2214yescomplemented
74#2825C2214yescomplemented
75#2808C2212yescomplemented
76#2803C2214yescomplemented
77#2803C2214yescomplemented
78#2801C2214yescomplemented
79#2800C2214yescomplemented
80#2800C2214yescomplemented
81#2800C2214yescomplemented
82#2800C2214yescomplemented
83#2797C2214yescomplemented
84#2786C2214yescomplemented
85#2781C2214yescomplemented
86#2780C2214yescomplemented
87#2777C2214yescomplemented
88#2772C2214yescomplemented
89#2768C2214yescomplemented
90#2765C2214yescomplemented
91#2757C2214yescomplemented
92#2756C2214yescomplemented
93#2752C2214yescomplemented
94#2749C2214yescomplemented
95#2746C2214yescomplemented
96#2735C2214yescomplemented
97#2732C2212yescomplemented
98#2727C2212yescomplemented
99#2727C2212yescomplemented
100#2727C2212yescomplemented
101#2726C2212yescomplemented
102#2725C2214yescomplemented
103#2714C2214yescomplemented
104#2711C2214yescomplemented
105#2711C2214yescomplemented
106#2707C2214yescomplemented
107#2707C2214yescomplemented
108#2707C2214yescomplemented
109#2706C2214yescomplemented
110#2706C2214yescomplemented
111#2706C2214yescomplemented
112#2706C2214yescomplemented
113#2705C2214yescomplemented
114#2705C2214yescomplemented
115#2705C2214yescomplemented
116#2705C2214yescomplemented
117#2703C2214yescomplemented
118#2699C2214yescomplemented
119#2697C2214yescomplemented
120#2697C2214yescomplemented
121#2694C2214yescomplemented
122#2694C2214yescomplemented
123#2687C2214yescomplemented
124#2685C2214yescomplemented
125#2685C2214yescomplemented
126#2685C2214yescomplemented
127#2685C2214yescomplemented
128#2682C2212yescomplemented
129#2682C2214yescomplemented
130#2682C2214yescomplemented
131#2681C2214yescomplemented
132#2681C2214yescomplemented
133#2679C2212yescomplemented
134#2678C2214yescomplemented
135#2678C2214yescomplemented
136#2678C2214yescomplemented
137#2678C2214yescomplemented
138#2678C2214yescomplemented
139#2678C2214yescomplemented
140#2678C2214yescomplemented
141#2671C2214yescomplemented
142#2668C2214yescomplemented
143#2651C2214yescomplemented
144#2644C2212yescomplemented
145#2641C2212yescomplemented
146#2630C2214yescomplemented
147#2626C2212yescomplemented
148#2625C2212yescomplemented
149#2620C2212yescomplemented
150#2618C2212yes—
151#2618C2212yescomplemented
152#2617C2212yes—
153#2602C2214yescomplemented
154#2594C2214yescomplemented
155#2592C2212yescomplemented
156#2579C2214yescomplemented
157#2578C2214yescomplemented
158#2566C2212yescomplemented
159#2558C2214yescomplemented
160#2558C2214yescomplemented
161#2554C2214yescomplemented
162#2553C2214yescomplemented
163#2552C2212yescomplemented
164#2548C2212yescomplemented
165#2545C2212yescomplemented
166#2540C2212yes—
167#2539C2214yescomplemented
168#2538C2212yescomplemented
169#2538C2212yescomplemented
170#2534C2214yescomplemented
171#2518C2214yescomplemented
172#2518C2214yescomplemented
173#2512C2212yescomplemented
174#2512C2212yescomplemented
175#2510C2214yescomplemented
176#2508C2212yescomplemented
177#2504C2214yescomplemented
178#2501C2212yescomplemented
179#2500C2212yescomplemented
180#2498C2214yescomplemented
181#2494C2212yescomplemented
182#2490C2212yescomplemented
183#2480C2214yescomplemented
184#2480C2214yescomplemented
185#2472C2214yescomplemented
186#2467C2214yescomplemented
187#2464C2214yescomplemented
188#2454C2214yescomplemented
189#2453C2212yescomplemented
190#2448C2212yescomplemented
191#2447C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2444C2214yescomplemented
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2435C2212yes—
198#2435C2212yescomplemented
199#2433C2212yescomplemented
200#2431C2212yes—
201#2429C2212yescomplemented
202#2428C2212yes—
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2425C2214yescomplemented
206#2425C2214yescomplemented
207#2424C2214yescomplemented
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2416C2212yes—
213#2415C2212yescomplemented
214#2414C2212yes—
215#2414C2212yescomplemented
216#2411C2214yescomplemented
217#2411C2214yescomplemented
218#2411C2214yescomplemented
219#2410C2214yes—
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2408C2214yescomplemented
223#2407C2212yescomplemented
224#2405C2214yescomplemented
225#2405C2214yescomplemented
226#2403C2214yescomplemented
227#2377C2214yescomplemented
228#2375C2214yescomplemented
229#2363C2212yescomplemented
230#2361C2212yescomplemented
231#2360C2212yescomplemented
232#2359C2214yescomplemented
233#2354C2212yescomplemented
234#2341C2212yescomplemented
235D4×C22⋊C4C2214yescomplemented
236#2334C2214yescomplemented
237#2326C2212yescomplemented
238#2324C2212yescomplemented
239#2321C2214yescomplemented
240#2320C2212yescomplemented
241#2316C2212yescomplemented
242#2312C2212yescomplemented
243#2309C2212yescomplemented
244C4×C22⋊Q8C2211yescharacteristic, complemented
245C4×C22⋊Q8C2211yescharacteristic, complemented
246C4×#123C2212yescomplemented
247C4×#121C2211yescharacteristic
248C4×#121C2211yescharacteristic, complemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#120C2212yescomplemented
254#2297C2212yescomplemented
255C2×#390C2211yescharacteristic
256C2×#390C2211yescharacteristic
257C2×#389C2211yescharacteristic, complemented
258C2×#389C2211yescharacteristic, complemented
259#2290C2212yescomplemented
260#2290C2212yescomplemented
261C2×#388C2212yescomplemented
262C2×#388C2212yescomplemented
263C2×#386C2212yescomplemented
264#2285C2211yescharacteristic, complemented
265#2283C2211yescharacteristic, complemented
266C2×#380C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2312yes—
272C24×C4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275#552—48no—
276#546—48no—
277D42—48no—
278#539—48no—
279#534—48no—
280#532—44no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284#529—44no—
285C2×#126C2314yes—
286C2×#126C2312yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2311yescharacteristic
291C2×#125C2314yes—
292C2×#125C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2311yescharacteristic
296C2×#124C2312yes—
297#525—48no—
298C2×#123—48no—
299C2×#123C2312yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×#121—44no—
322C2×#121C2311yescharacteristic
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#120C2314yes—
344C2×#120C2312yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42—44no—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
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#393C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#383C2314yes—
682#383C2312yes—
683#382C2312yes—
684#382C2314yes—
685#382C2314yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#381C2312yes—
689#381C2312yes—
690#381C2314yes—
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2311yescharacteristic
694#380C2314yes—
695#380C2314yes—
696#380C2312yes—
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717#379C2312yes—
718#379C2314yes—
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2314yes—
741#376C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C25C2411yescharacteristic
746C25C2412yes—
747C25C2414yes—
748C2×#41—28no—
749C2×#41—44no—
750C2×#41—44no—
751C22×Q8C2412yes—
752C22×Q8C2411yescharacteristic
753C22×D4—24no—
754C22×D4—42no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—42no—
758C22×D4—44no—
759C22×D4—44no—
760C22×D4—44no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—44no—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C23×C4—24no—
785C23×C4—24no—
786C23×C4—24no—
787C23×C4—42no—
788C23×C4—42no—
789C23×C4—42no—
790C23×C4—42no—
791C23×C4—42no—
792C23×C4—42no—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2411yescharacteristic
807C23×C4C2412yes—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C4⋊Q8—42no—
819#127—42no—
820#127—44no—
821#126—44no—
822#126—48no—
823#126—48no—
824#126—48no—
825#125—42no—
826#125—44no—
827#125—48no—
828#125—48no—
829#124—42no—
830#124—44no—
831#124—44no—
832#124—44no—
833#123—48no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—48no—
839#123—44no—
840#123—48no—
841#123—48no—
842#123—48no—
843#123—44no—
844#123—48no—
845#123—48no—
846#123—48no—
847C22⋊Q8—28no—
848C22⋊Q8—24no—
849C22⋊Q8—42no—
850C22⋊Q8—42no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855#121—28no—
856#121—28no—
857#121—24no—
858#121—28no—
859#121—44no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—44no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—42no—
872#121—42no—
873#121—44no—
874#121—44no—
875#121—48no—
876#120—48no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—44no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—48no—
897C4×D4—48no—
898C4×D4—48no—
899#117—44no—
900#117—48no—
901#117—44no—
902#117—44no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—42no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C22⋊C4—28no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—44no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—44no—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C42—24no—
1033C2×C42—24no—
1034C2×C42—42no—
1035C2×C42—42no—
1036C2×C42—42no—
1037C2×C42—42no—
1038C2×C42—42no—
1039C2×C42—42no—
1040C2×C42—42no—
1041C2×C42—42no—
1042C2×C42—42no—
1043C2×C42—42no—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113C24—22no—
1114C24—22no—
1115C24—22no—
1116C24—22no—
1117C24—22no—
1118C24—24no—
1119C24—24no—
1120C24—24no—
1121C24—41no—
1122C24—41no—
1123C24—42no—
1124C24—42no—
1125C24—42no—
1126C24—42no—
1127C24—44no—
1128C24—44no—
1129C24—44no—
1130C24—44no—
1131C24—44no—
1132C24—44no—
1133C24—44no—
1134C24C2514yes—
1135C24C2512yes—
1136C24C2514yes—
1137C24C2511yescharacteristic
1138C24C2511yescharacteristic
1139C24C2511yescharacteristic
1140#41—816no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—44no—
1170C2×D4—41no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—41no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—88no—
1205C2×D4—816no—
1206C2×D4—832no—
1207C2×D4—816no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—28no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—416no—
1282C22×C4—416no—
1283C22×C4H(5,𝔽2)14yes—
1284C22×C4H(5,𝔽2)14yes—
1285C22×C4H(5,𝔽2)14yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—41no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—41no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—41no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—41no—
1440C42—41no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—28no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—24no—
1486C23—24no—
1487C23—24no—
1488C23—22no—
1489C23—24no—
1490C23—22no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—48no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—88no—
1505C23—88no—
1506C23—88no—
1507C23—164no—
1508C23—164no—
1509C23—164no—
1510C23—164no—
1511C23C2×H(5,𝔽2)12yes—
1512C23C2×H(5,𝔽2)12yes—
1513C23C2×H(5,𝔽2)12yes—
1514C23#58512yes—
1515C23#58512yes—
1516C23C2611yescharacteristic
1517Q8—48no—
1518Q8—82no—
1519D4—416no—
1520D4—48no—
1521D4—48no—
1522D4—48no—
1523D4—84no—
1524D4—84no—
1525D4—82no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—88no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—88no—
1629C2×C4—164no—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—416no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—44no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—44no—
1665C22—44no—
1666C22—42no—
1667C22—44no—
1668C22—44no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—42no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—168no—
1681C22—1616no—
1682C22#354614yes—
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×H(5,𝔽2)11yescharacteristic
1685C22C22×H(5,𝔽2)11yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—41no—
1696C4—42no—
1697C4—44no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—44no—
1705C4—41no—
1706C4—41no—
1707C4—44no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4#353414yes—
1715C2—24no—
1716C2—42no—
1717C2—42no—
1718C2—84no—
1719C2—82no—
1720C2—84no—
1721C2C2×#353411yescharacteristic
1722C2#6272911yescharacteristic
1723C2C2×#354611yescharacteristic
1724C2#6281811yescharacteristic
1725C2#6282811yescharacteristic
1726C2#6283011yescharacteristic
1727C2#6283611yescharacteristic
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. #59022C2semidirect
2. #59004C2semidirect
3. #53303C2semidirect
4. #53297C2semidirect
5. #53238C2semidirect
6. #45643C2semidirect
7. #45642C2semidirect
8. #45639C2semidirect
9. #45563C2semidirect
10. #39937C2semidirect
11. #39888C2semidirect
12. #39551C2semidirect
13. #39511C2semidirect
14. #39487C2semidirect
15. #39414C2semidirect
16. #39384C2semidirect
17. #39358C2semidirect
18. #38545C2semidirect
19. #38124C2semidirect
20. #38084C2semidirect
21. #38061C2semidirect
22. #38034C2semidirect
23. #37341C2semidirect
24. #37331C2semidirect
25. #37218C2semidirect
26. #37154C2semidirect
27. #36722C2semidirect
28. #36721C2semidirect
29. #36624C2semidirect
30. #36621C2semidirect
31. C2×#2854C2semidirect
32. C2×#552C22semidirect
33. C2×#546C22semidirect
35. C2×#539C22semidirect
37. C2×#532C22semidirect
38. C2×#529C22semidirect
39. C2×#525C22semidirect
40. C22×#123C22semidirect
42. C23×C42C22semidirect
43. #2857C22semidirect
44. #2857C22semidirect
46. #2856C22semidirect
47. #2855C22semidirect
48. #2854C22semidirect
49. #2854C22semidirect
50. #2854C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2853C22semidirect
60. #2852C22semidirect
61. #2852C22semidirect
62. #2851C22semidirect
63. #2851C22semidirect
65. #2850C22semidirect
66. #2850C22semidirect
67. #2850C22semidirect
68. #2849C22semidirect
69. #2848C22semidirect
71. #2847C22semidirect
72. #2847C22semidirect
73. #2826C22semidirect
74. #2825C22semidirect
75. #2808C22semidirect
76. #2803C22semidirect
77. #2803C22semidirect
78. #2801C22semidirect
79. #2800C22semidirect
80. #2800C22semidirect
81. #2800C22semidirect
82. #2800C22semidirect
83. #2797C22semidirect
84. #2786C22semidirect
85. #2781C22semidirect
86. #2780C22semidirect
87. #2777C22semidirect
88. #2772C22semidirect
89. #2768C22semidirect
90. #2765C22semidirect
91. #2757C22semidirect
92. #2756C22semidirect
93. #2752C22semidirect
94. #2749C22semidirect
95. #2746C22semidirect
96. #2735C22semidirect
97. #2732C22semidirect
98. #2727C22semidirect
99. #2727C22semidirect
100. #2727C22semidirect
101. #2726C22semidirect
102. #2725C22semidirect
103. #2714C22semidirect
104. #2711C22semidirect
105. #2711C22semidirect
106. #2707C22semidirect
107. #2707C22semidirect
108. #2707C22semidirect
109. #2706C22semidirect
110. #2706C22semidirect
111. #2706C22semidirect
112. #2706C22semidirect
113. #2705C22semidirect
114. #2705C22semidirect
115. #2705C22semidirect
116. #2705C22semidirect
117. #2703C22semidirect
118. #2699C22semidirect
119. #2697C22semidirect
120. #2697C22semidirect
121. #2694C22semidirect
122. #2694C22semidirect
123. #2687C22semidirect
124. #2685C22semidirect
125. #2685C22semidirect
126. #2685C22semidirect
127. #2685C22semidirect
128. #2682C22semidirect
129. #2682C22semidirect
130. #2682C22semidirect
131. #2681C22semidirect
132. #2681C22semidirect
133. #2679C22semidirect
134. #2678C22semidirect
135. #2678C22semidirect
136. #2678C22semidirect
137. #2678C22semidirect
138. #2678C22semidirect
139. #2678C22semidirect
140. #2678C22semidirect
141. #2671C22semidirect
142. #2668C22semidirect
143. #2651C22semidirect
144. #2644C22semidirect
145. #2641C22semidirect
146. #2630C22semidirect
147. #2626C22semidirect
148. #2625C22semidirect
149. #2620C22semidirect
151. #2618C22semidirect
153. #2602C22semidirect
154. #2594C22semidirect
155. #2592C22semidirect
156. #2579C22semidirect
157. #2578C22semidirect
158. #2566C22semidirect
159. #2558C22semidirect
160. #2558C22semidirect
161. #2554C22semidirect
162. #2553C22semidirect
163. #2552C22semidirect
164. #2548C22semidirect
165. #2545C22semidirect
167. #2539C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
170. #2534C22semidirect
171. #2518C22semidirect
172. #2518C22semidirect
173. #2512C22semidirect
174. #2512C22semidirect
175. #2510C22semidirect
176. #2508C22semidirect
177. #2504C22semidirect
178. #2501C22semidirect
179. #2500C22semidirect
180. #2498C22semidirect
181. #2494C22semidirect
182. #2490C22semidirect
183. #2480C22semidirect
184. #2480C22semidirect
185. #2472C22semidirect
186. #2467C22semidirect
187. #2464C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2448C22semidirect
191. #2447C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2444C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
198. #2435C22semidirect
199. #2433C22semidirect
201. #2429C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
205. #2425C22semidirect
206. #2425C22semidirect
207. #2424C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
213. #2415C22semidirect
215. #2414C22semidirect
216. #2411C22semidirect
217. #2411C22semidirect
218. #2411C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2405C22semidirect
225. #2405C22semidirect
226. #2403C22semidirect
227. #2377C22semidirect
228. #2375C22semidirect
229. #2363C22semidirect
230. #2361C22semidirect
231. #2360C22semidirect
232. #2359C22semidirect
233. #2354C22semidirect
234. #2341C22semidirect
235. D4×C22⋊C4C22semidirect
236. #2334C22semidirect
237. #2326C22semidirect
238. #2324C22semidirect
239. #2321C22semidirect
240. #2320C22semidirect
241. #2316C22semidirect
242. #2312C22semidirect
243. #2309C22semidirect
244. C4×C22⋊Q8C22semidirect
245. C4×C22⋊Q8C22semidirect
246. C4×#123C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#120C22semidirect
254. #2297C22semidirect
257. C2×#389C22semidirect
258. C2×#389C22semidirect
259. #2290C22semidirect
260. #2290C22semidirect
261. C2×#388C22semidirect
262. C2×#388C22semidirect
263. C2×#386C22semidirect
264. #2285C22semidirect
265. #2283C22semidirect
266. C2×#380C22semidirect

Maximal subgroups

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

subgroupindex
#590222
#590042
#533032
#532972
#532382
#456432
#456422
#456392
#455632
#399372
#398882
#395512
#395112
#394872
#394142
#393842
#393582
#385452
#381242
#380842
#380612
#380342
#373412
#373312
#372182
#371542
#367222
#367212
#366242
#366212
C2×#28542