Finite Group Databasebeta

← #7654434

Subgroups — #7654434

Order 512.

4894 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42718C212yesmaximal, complemented
2#42586C212yesmaximal, complemented
3#41565C214yesmaximal, complemented
4#41560C214yesmaximal, complemented
5#40144C212yesmaximal, complemented
6#40135C214yesmaximal, complemented
7#39514C211yesmaximal, characteristic, complemented
8#39408C212yesmaximal, complemented
9#39395C214yesmaximal, complemented
10#39191C211yesmaximal, characteristic, complemented
11#39158C211yesmaximal, characteristic, complemented
12#38932C211yesmaximal, characteristic, complemented
13#38129C212yesmaximal, complemented
14#37887C212yesmaximal, complemented
15#37858C212yesmaximal, complemented
16#37857C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37508C212yesmaximal, complemented
19#36514C212yesmaximal, complemented
20#36461C212yesmaximal, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36187C211yesmaximal, characteristic, complemented
23#36160C211yesmaximal, characteristic, complemented
24#36160C211yesmaximal, characteristic, complemented
25#36073C212yesmaximal, complemented
26#35833C212yesmaximal, complemented
27#35319C211yesmaximal, characteristic, complemented
28#35207C211yesmaximal, characteristic, complemented
29#35164C212yesmaximal, complemented
30#35005C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34814C212yesmaximal, complemented
33#34321C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#541C2212yes—
39C2×#538C2214yes—
40C22×C4×D4C2211yescharacteristic
41#2868C2211yescharacteristic, complemented
42#2866C2214yescomplemented
43#2861C2214yescomplemented
44#2859C2211yescharacteristic, complemented
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yescomplemented
48#2856C2212yescomplemented
49#2854C2212yes—
50#2851C2212yescomplemented
51#2847C2212yes—
52#2847C2212yes—
53#2832C2214yescomplemented
54#2827C2214yescomplemented
55#2826C2214yes—
56#2764C2214yescomplemented
57#2759C2214yescomplemented
58#2753C2214yescomplemented
59#2747C2214yescomplemented
60#2746C2214yescomplemented
61#2743C2214yescomplemented
62#2741C2214yes—
63#2740C2214yescomplemented
64#2737C2214yescomplemented
65#2716C2214yescomplemented
66#2716C2214yescomplemented
67#2714C2214yes—
68#2711C2214yescomplemented
69#2711C2214yescomplemented
70#2708C2214yescomplemented
71#2702C2214yes—
72#2700C2214yes—
73#2697C2214yes—
74#2690C2214yescomplemented
75#2688C2214yes—
76#2687C2214yes—
77#2685C2214yes—
78#2685C2214yes—
79#2684C2214yes—
80#2654C2214yescomplemented
81#2653C2214yescomplemented
82#2653C2214yescomplemented
83#2651C2214yescomplemented
84#2648C2214yes—
85#2647C2212yescomplemented
86#2644C2212yescomplemented
87#2642C2212yescomplemented
88#2639C2214yescomplemented
89#2633C2214yescomplemented
90#2632C2214yescomplemented
91#2630C2214yes—
92#2629C2212yescomplemented
93#2628C2212yescomplemented
94#2628C2212yescomplemented
95#2624C2212yes—
96#2624C2212yescomplemented
97#2624C2212yescomplemented
98#2621C2212yes—
99#2617C2214yes—
100#2595C2214yescomplemented
101#2578C2214yes—
102#2577C2214yescomplemented
103#2576C2214yescomplemented
104#2574C2214yescomplemented
105#2572C2214yescomplemented
106#2570C2212yescomplemented
107#2570C2212yescomplemented
108#2563C2211yescharacteristic
109#2563C2211yescharacteristic
110#2563C2211yescharacteristic, complemented
111#2563C2211yescharacteristic, complemented
112#2562C2212yes—
113#2559C2214yes—
114#2559C2214yescomplemented
115#2558C2214yescomplemented
116#2557C2214yes—
117#2557C2214yescomplemented
118#2556C2214yescomplemented
119#2554C2214yescomplemented
120#2553C2214yes—
121#2552C2211yescharacteristic, complemented
122#2551C2211yescharacteristic, complemented
123#2547C2212yes—
124#2537C2211yescharacteristic
125#2537C2211yescharacteristic
126#2537C2212yes—
127#2537C2212yes—
128#2533C2214yescomplemented
129#2532C2214yescomplemented
130#2531C2214yes—
131#2531C2214yescomplemented
132#2531C2212yescomplemented
133#2527C2214yescomplemented
134#2526C2212yescomplemented
135#2526C2214yescomplemented
136#2521C2214yes—
137#2520C2214yescomplemented
138#2519C2214yescomplemented
139#2516C2214yescomplemented
140#2516C2214yescomplemented
141#2513C2211yescharacteristic, complemented
142#2512C2212yes—
143#2512C2212yes—
144#2507C2211yescharacteristic, complemented
145#2506C2212yescomplemented
146#2506C2212yescomplemented
147#2506C2212yescomplemented
148#2506C2212yescomplemented
149#2500C2212yescomplemented
150#2500C2212yescomplemented
151#2497C2211yescharacteristic
152#2497C2212yescomplemented
153#2496C2212yes—
154#2496C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2212yescomplemented
158#2496C2212yescomplemented
159#2495C2212yes—
160#2495C2212yescomplemented
161#2495C2212yescomplemented
162#2495C2212yescomplemented
163#2494C2212yes—
164#2494C2212yescomplemented
165#2494C2212yescomplemented
166#2494C2212yescomplemented
167#2493C2214yescomplemented
168#2493C2214yescomplemented
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yescomplemented
172#2491C2214yescomplemented
173#2491C2214yescomplemented
174#2490C2212yes—
175#2490C2211yescharacteristic
176#2490C2214yescomplemented
177#2487C2212yescomplemented
178#2486C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yescomplemented
183#2480C2214yes—
184#2480C2214yes—
185#2476C2212yes—
186#2472C2214yes—
187#2472C2214yes—
188#2471C2212yes—
189#2460C2214yescomplemented
190#2459C2214yes—
191#2459C2214yes—
192#2459C2214yes—
193#2458C2214yescomplemented
194#2454C2212yes—
195#2454C2211yescharacteristic, complemented
196#2452C2212yes—
197#2445C2211yescharacteristic, complemented
198#2442C2212yescomplemented
199#2441C2212yescomplemented
200#2439C2212yescomplemented
201#2439C2212yescomplemented
202#2428C2211yescharacteristic
203#2428C2212yescomplemented
204#2422C2212yes—
205#2422C2212yescomplemented
206#2420C2212yes—
207#2420C2212yes—
208#2420C2211yescharacteristic
209#2416C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2414C2212yes—
213#2408C2212yes—
214#2408C2212yes—
215#2401C2214yes—
216#2401C2214yescomplemented
217#2395C2212yescomplemented
218#2392C2212yes—
219#2372C2214yescomplemented
220#2370C2212yescomplemented
221#2369C2211yescharacteristic, complemented
222#2369C2211yescharacteristic, complemented
223#2369C2212yescomplemented
224#2367C2214yescomplemented
225#2363C2212yes—
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yescomplemented
229#2363C2212yescomplemented
230#2361C2212yes—
231#2357C2211yescharacteristic
232#2357C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic, complemented
236#2354C2212yescomplemented
237#2354C2212yescomplemented
238#2353C2212yes—
239#2353C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2349C2211yescharacteristic
243#2349C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic, complemented
245#2347C2212yescomplemented
246#2347C2212yescomplemented
247#2346C2212yescomplemented
248#2346C2212yescomplemented
249#2345C2211yescharacteristic
250#2345C2211yescharacteristic
251#2342C2212yes—
252#2342C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254D4×C22⋊C4C2211yescharacteristic
255#2337C2214yescomplemented
256#2331C2212yescomplemented
257#2327C2212yescomplemented
258#2325C2214yescomplemented
259#2324C2212yes—
260#2324C2212yescomplemented
261#2324C2212yescomplemented
262#2319C2212yescomplemented
263#2314C2212yescomplemented
264#2314C2212yescomplemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×#127C2211yescharacteristic, complemented
268C4×#125C2211yescharacteristic, complemented
269C4×#126C2214yes—
270C4×#126C2214yescomplemented
271C4×#124C2214yescomplemented
272C4×#123C2212yescomplemented
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic
283#2293C2211yescharacteristic, complemented
284#2290C2212yes—
285#2290C2212yes—
286#2285C2212yescomplemented
287#2283C2211yescharacteristic
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yescomplemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#555—28no—
302#555—28no—
303#541—48no—
304#538—416no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4—28no—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2312yes—
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
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#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2314yes—
485#392C2312yes—
486#392C2314yes—
487#392C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2312yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#381C2312yes—
695#381C2312yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#381C2314yes—
700#381C2314yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2314yes—
732#380C2314yes—
733#380C2311yescharacteristic
734#379C2312yes—
735#379C2312yes—
736#379C2314yes—
737#379C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2314yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C25C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4—24no—
820C22×D4—42no—
821C22×D4—42no—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861#127—42no—
862#126—216no—
863#126—48no—
864#126—48no—
865#126—48no—
866#125—44no—
867#125—42no—
868#125—44no—
869#125—48no—
870#125—48no—
871#124—216no—
872#124—216no—
873#124—48no—
874#124—48no—
875#123—48no—
876#123—48no—
877#123—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—48no—
881#121—28no—
882#121—28no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—42no—
892#121—48no—
893#121—42no—
894#121—48no—
895#120—48no—
896#120—48no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—48no—
919C4×D4#4118yes—
920#117—28no—
921#117—28no—
922#117—28no—
923#117—28no—
924#117—24no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—42no—
929#117—44no—
930#117—44no—
931#117—44no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—28no—
994C2×C22⋊C4—28no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C42—24no—
1064C2×C42—44no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—416no—
1230C2×D4C2×#4114yes—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—816no—
1282C22×C4C2×#4118yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2514yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—41no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4C2×#4114yes—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4C2×#4118yes—
1438C22⋊C4H(5,𝔽2)14yes—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—28no—
1443C42—28no—
1444C42—22no—
1445C42—22no—
1446C42—28no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—41no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42C2×#4114yes—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—48no—
1508C23—48no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23C22×#4114yes—
1515C23C2×H(5,𝔽2)12yes—
1516C23C2611yescharacteristic
1517Q8—84no—
1518Q8—84no—
1519Q8—164no—
1520D4—28no—
1521D4—48no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—88no—
1530D4—88no—
1531D4—164no—
1532D4—164no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—216no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—44no—
1614C2×C4—48no—
1615C2×C4—48no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—164no—
1629C2×C4C22×#4114yes—
1630C2×C4C22×#4112yes—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4112yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4#58512yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C2×C4#58512yes—
1640C22—22no—
1641C22—22no—
1642C22—24no—
1643C22—22no—
1644C22—24no—
1645C22—24no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—816no—
1676C22C23×#4111yescharacteristic
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—24no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4—44no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—44no—
1707C4—44no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4#345514yes—
1712C4#352114yes—
1713C2—44no—
1714C2—42no—
1715C2—82no—
1716C2—82no—
1717C2—82no—
1718C2C2×#345511yescharacteristic
1719C2C2×#352111yescharacteristic
1720C2#6280011yescharacteristic
1721C2#6302411yescharacteristic
1722C2#6302411yescharacteristic
1723C2#6302811yescharacteristic
1724C2#6303111yescharacteristic
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. #42718C2semidirect
2. #42586C2semidirect
3. #41565C2semidirect
4. #41560C2semidirect
5. #40144C2semidirect
6. #40135C2semidirect
7. #39514C2semidirect
8. #39408C2semidirect
9. #39395C2semidirect
10. #39191C2semidirect
11. #39158C2semidirect
12. #38932C2semidirect
13. #38129C2semidirect
14. #37887C2semidirect
15. #37858C2semidirect
16. #37857C2semidirect
17. #37636C2semidirect
18. #37508C2semidirect
19. #36514C2semidirect
20. #36461C2semidirect
21. #36407C2semidirect
22. #36187C2semidirect
23. #36160C2semidirect
24. #36160C2semidirect
25. #36073C2semidirect
26. #35833C2semidirect
27. #35319C2semidirect
28. #35207C2semidirect
29. #35164C2semidirect
30. #35005C2semidirect
31. #34970C2semidirect
32. #34814C2semidirect
33. #34321C2semidirect
34. C4×#555C2semidirect
35. #34126C2semidirect
41. #2868C22semidirect
42. #2866C22semidirect
43. #2861C22semidirect
44. #2859C22semidirect
47. #2857C22semidirect
48. #2856C22semidirect
50. #2851C22semidirect
53. #2832C22semidirect
54. #2827C22semidirect
56. #2764C22semidirect
57. #2759C22semidirect
58. #2753C22semidirect
59. #2747C22semidirect
60. #2746C22semidirect
61. #2743C22semidirect
63. #2740C22semidirect
64. #2737C22semidirect
65. #2716C22semidirect
66. #2716C22semidirect
68. #2711C22semidirect
69. #2711C22semidirect
70. #2708C22semidirect
74. #2690C22semidirect
80. #2654C22semidirect
81. #2653C22semidirect
82. #2653C22semidirect
83. #2651C22semidirect
85. #2647C22semidirect
86. #2644C22semidirect
87. #2642C22semidirect
88. #2639C22semidirect
89. #2633C22semidirect
90. #2632C22semidirect
92. #2629C22semidirect
93. #2628C22semidirect
94. #2628C22semidirect
96. #2624C22semidirect
97. #2624C22semidirect
100. #2595C22semidirect
102. #2577C22semidirect
103. #2576C22semidirect
104. #2574C22semidirect
105. #2572C22semidirect
106. #2570C22semidirect
107. #2570C22semidirect
110. #2563C22semidirect
111. #2563C22semidirect
114. #2559C22semidirect
115. #2558C22semidirect
117. #2557C22semidirect
118. #2556C22semidirect
119. #2554C22semidirect
121. #2552C22semidirect
122. #2551C22semidirect
128. #2533C22semidirect
129. #2532C22semidirect
131. #2531C22semidirect
132. #2531C22semidirect
133. #2527C22semidirect
134. #2526C22semidirect
135. #2526C22semidirect
137. #2520C22semidirect
138. #2519C22semidirect
139. #2516C22semidirect
140. #2516C22semidirect
141. #2513C22semidirect
144. #2507C22semidirect
145. #2506C22semidirect
146. #2506C22semidirect
147. #2506C22semidirect
148. #2506C22semidirect
149. #2500C22semidirect
150. #2500C22semidirect
152. #2497C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
160. #2495C22semidirect
161. #2495C22semidirect
162. #2495C22semidirect
164. #2494C22semidirect
165. #2494C22semidirect
166. #2494C22semidirect
167. #2493C22semidirect
168. #2493C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
176. #2490C22semidirect
177. #2487C22semidirect
182. #2485C22semidirect
189. #2460C22semidirect
193. #2458C22semidirect
195. #2454C22semidirect
197. #2445C22semidirect
198. #2442C22semidirect
199. #2441C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
203. #2428C22semidirect
205. #2422C22semidirect
216. #2401C22semidirect
217. #2395C22semidirect
219. #2372C22semidirect
220. #2370C22semidirect
221. #2369C22semidirect
222. #2369C22semidirect
223. #2369C22semidirect
224. #2367C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
244. D4×C4⋊C4C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
247. #2346C22semidirect
248. #2346C22semidirect
255. #2337C22semidirect
256. #2331C22semidirect
257. #2327C22semidirect
258. #2325C22semidirect
260. #2324C22semidirect
261. #2324C22semidirect
262. #2319C22semidirect
263. #2314C22semidirect
264. #2314C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×#127C22semidirect
268. C4×#125C22semidirect
270. C4×#126C22semidirect
271. C4×#124C22semidirect
272. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
283. #2293C22semidirect
286. #2285C22semidirect
291. #2274C22semidirect
294. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427182
#425862
#415652
#415602
#401442
#401352
#395142
#394082
#393952
#391912
#391582
#389322
#381292
#378872
#378582
#378572
#376362
#375082
#365142
#364612
#364072
#361872
#361602
#360732
#358332
#353192
#352072
#351642
#350052
#349702
#348142
#343212
C4×#5552
#341262