Finite Group Databasebeta

← #7686124

Subgroups — #7686124

Order 512.

5350 conjugacy classes of subgroups.

The subgroup lattice has 1751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59855C212yesmaximal, complemented
2#59504C212yesmaximal, complemented
3#59436C211yesmaximal, characteristic, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59238C214yesmaximal, complemented
6#59229C211yesmaximal, characteristic, complemented
7#59204C212yesmaximal, complemented
8#59119C212yesmaximal, complemented
9#45288C212yesmaximal, complemented
10#44975C212yesmaximal, complemented
11#43280C214yesmaximal, complemented
12#43234C214yesmaximal, complemented
13#39035C212yesmaximal, complemented
14#39021C212yesmaximal, complemented
15#38967C211yesmaximal, characteristic, complemented
16#38922C211yesmaximal, characteristic, complemented
17#38391C214yesmaximal, complemented
18#37852C212yesmaximal, complemented
19#36581C212yesmaximal, complemented
20#36564C211yesmaximal, characteristic, complemented
21#36387C212yesmaximal, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36189C211yesmaximal, characteristic, complemented
24#36160C211yesmaximal, characteristic, complemented
25#36160C212yesmaximal, complemented
26#36114C211yesmaximal, characteristic, complemented
27#35774C212yesmaximal, complemented
28#35722C212yesmaximal, complemented
29#34700C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic, complemented
31#34321C211yesmaximal, characteristic, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34178C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2212yes—
38C2×#553C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2212yes—
43C23×C4⋊C4C2212yes—
44#2864C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2851C2212yescomplemented
50#2847C2212yes—
51#2847C2214yes—
52#2800C2214yescomplemented
53#2793C2214yescomplemented
54#2788C2214yescomplemented
55#2787C2214yescomplemented
56#2786C2214yescomplemented
57#2776C2214yescomplemented
58#2747C2214yescomplemented
59#2746C2214yescomplemented
60#2745C2214yescomplemented
61#2745C2214yescomplemented
62#2742C2214yescomplemented
63#2741C2214yescomplemented
64#2740C2214yescomplemented
65#2738C2214yescomplemented
66#2737C2214yescomplemented
67#2717C2214yescomplemented
68#2715C2214yescomplemented
69#2701C2214yescomplemented
70#2691C2214yescomplemented
71#2686C2214yescomplemented
72#2672C2214yescomplemented
73#2653C2214yescomplemented
74#2649C2214yescomplemented
75#2628C2212yescomplemented
76#2624C2212yescomplemented
77#2601C2214yescomplemented
78#2599C2214yescomplemented
79#2594C2214yescomplemented
80#2591C2214yes—
81#2590C2214yescomplemented
82#2589C2214yescomplemented
83#2588C2214yescomplemented
84#2587C2214yescomplemented
85#2586C2214yescomplemented
86#2579C2214yes—
87#2577C2214yescomplemented
88#2573C2214yescomplemented
89#2571C2211yescharacteristic, complemented
90#2570C2212yescomplemented
91#2570C2212yescomplemented
92#2570C2212yescomplemented
93#2567C2211yescharacteristic, complemented
94#2564C2214yes—
95#2563C2211yescharacteristic
96#2563C2212yes—
97#2551C2211yescharacteristic, complemented
98#2550C2212yescomplemented
99#2549C2214yes—
100#2547C2212yescomplemented
101#2538C2211yescharacteristic, complemented
102#2537C2212yes—
103#2537C2211yescharacteristic
104#2527C2214yescomplemented
105#2525C2214yescomplemented
106#2523C2214yescomplemented
107#2521C2214yescomplemented
108#2514C2212yescomplemented
109#2512C2212yescomplemented
110#2511C2212yescomplemented
111#2510C2214yes—
112#2510C2214yes—
113#2509C2212yescomplemented
114#2507C2212yescomplemented
115#2507C2212yescomplemented
116#2507C2212yescomplemented
117#2504C2212yes—
118#2499C2212yescomplemented
119#2497C2212yescomplemented
120#2496C2212yescomplemented
121#2496C2212yescomplemented
122#2495C2212yescomplemented
123#2494C2212yescomplemented
124#2494C2212yescomplemented
125#2494C2212yescomplemented
126#2491C2212yescomplemented
127#2487C2212yes—
128#2485C2212yes—
129#2485C2214yes—
130#2485C2212yescomplemented
131#2485C2212yescomplemented
132#2485C2212yescomplemented
133#2481C2214yes—
134#2481C2214yescomplemented
135#2481C2214yescomplemented
136#2480C2214yes—
137#2480C2212yes—
138#2479C2214yescomplemented
139#2478C2214yescomplemented
140#2477C2214yescomplemented
141#2474C2214yescomplemented
142#2474C2214yescomplemented
143#2472C2214yes—
144#2472C2214yes—
145#2472C2214yes—
146#2470C2214yescomplemented
147#2468C2214yes—
148#2468C2212yes—
149#2466C2214yescomplemented
150#2466C2214yescomplemented
151#2459C2214yes—
152#2459C2214yes—
153#2459C2214yes—
154#2457C2212yes—
155#2457C2214yes—
156#2454C2212yes—
157#2454C2211yescharacteristic
158#2451C2212yescomplemented
159#2447C2212yes—
160#2447C2211yescharacteristic
161#2447C2214yescomplemented
162#2443C2214yescomplemented
163#2443C2214yescomplemented
164#2442C2211yescharacteristic
165#2442C2212yes—
166#2442C2212yescomplemented
167#2442C2212yescomplemented
168#2441C2212yescomplemented
169#2441C2212yescomplemented
170#2440C2212yes—
171#2439C2212yescomplemented
172#2439C2212yescomplemented
173#2435C2211yescharacteristic
174#2427C2212yes—
175#2427C2211yescharacteristic
176#2423C2212yescomplemented
177#2422C2212yescomplemented
178#2421C2212yescomplemented
179#2420C2212yes—
180#2420C2212yes—
181#2420C2212yes—
182#2420C2212yes—
183#2420C2211yescharacteristic
184#2418C2214yes—
185#2418C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2211yescharacteristic
189#2416C2212yescomplemented
190#2416C2212yescomplemented
191#2415C2212yescomplemented
192#2414C2214yes—
193#2414C2212yes—
194#2408C2211yescharacteristic
195#2408C2212yes—
196#2395C2212yes—
197#2395C2214yes—
198#2392C2214yes—
199#2392C2212yes—
200#2374C2212yescomplemented
201#2373C2214yescomplemented
202#2373C2212yescomplemented
203#2370C2211yescharacteristic, complemented
204#2369C2211yescharacteristic, complemented
205#2369C2212yescomplemented
206#2368C2214yes—
207#2367C2214yescomplemented
208#2364C2212yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2212yes—
212#2363C2211yescharacteristic, complemented
213#2362C2212yescomplemented
214#2361C2211yescharacteristic
215#2361C2212yescomplemented
216#2361C2212yescomplemented
217#2360C2212yes—
218#2357C2211yescharacteristic, complemented
219#2355C2211yescharacteristic, complemented
220#2354C2212yes—
221#2354C2211yescharacteristic
222#2354C2211yescharacteristic, complemented
223#2354C2212yescomplemented
224#2353C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yes—
228#2352C2211yescharacteristic
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231Q8×C4⋊C4C2211yescharacteristic, complemented
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2214yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2212yes—
241#2347C2212yescomplemented
242#2347C2212yescomplemented
243#2347C2211yescharacteristic, complemented
244#2345C2214yes—
245#2345C2212yes—
246#2345C2212yes—
247#2345C2214yes—
248#2345C2211yescharacteristic
249#2345C2212yes—
250#2344C2214yescomplemented
251#2344C2212yescomplemented
252#2344C2212yescomplemented
253#2344C2212yescomplemented
254#2344C2212yescomplemented
255#2344C2214yescomplemented
256#2337C2214yescomplemented
257#2335C2214yescomplemented
258#2324C2212yescomplemented
259#2316C2212yescomplemented
260#2316C2212yescomplemented
261#2314C2212yescomplemented
262#2313C2214yescomplemented
263#2313C2214yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#125C2212yescomplemented
266C4×#125C2211yescharacteristic, complemented
267C4×#126C2212yescomplemented
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×#123C2212yescomplemented
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic, complemented
278C4×#120C2212yes—
279C4×#120C2214yes—
280#2296C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2212yes—
283C2×#389C2212yes—
284C2×#385C2214yes—
285#2285C2211yescharacteristic, complemented
286C2×#384C2211yescharacteristic
287#2280C2212yes—
288#2280C2214yes—
289#2280C2212yes—
290#2280C2214yes—
291C2×#380C2212yes—
292#2274C2212yescomplemented
293#2274C2212yescomplemented
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301C24×C4C2314yes—
302#555—28no—
303#555—48no—
304#553—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309#529—48no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#124C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#120C2312yes—
343C2×#120C2314yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4—28no—
348C2×C4×D4—48no—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C22×C4⋊C4—216no—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2312yes—
485#392C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
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#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#381C2314yes—
694#381C2312yes—
695#381C2312yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#379C2312yes—
739#379C2314yes—
740#379C2312yes—
741#379C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C23×C4—28no—
837C23×C4—28no—
838C23×C4—216no—
839C23×C4—44no—
840C23×C4—48no—
841C23×C4—84no—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#126—28no—
867#126—28no—
868#126—48no—
869#126—84no—
870#125—24no—
871#125—24no—
872#125—44no—
873#124—24no—
874#124—24no—
875#124—216no—
876#124—48no—
877#124—48no—
878#123—28no—
879#123—28no—
880#123—48no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8—82no—
887#121—24no—
888#121—28no—
889#121—28no—
890#121—24no—
891#121—28no—
892#121—24no—
893#121—28no—
894#121—24no—
895#121—44no—
896#121—48no—
897#121—84no—
898#120—44no—
899#120—48no—
900C4×Q8—24no—
901C4×Q8—44no—
902C4×Q8—82no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—48no—
923C4×D4—48no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—84no—
928C4×D4#4118yes—
929#117—28no—
930#117—28no—
931#117—24no—
932#117—28no—
933#117—44no—
934#117—48no—
935#117—48no—
936#117—42no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—84no—
941#117—84no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—216no—
949C2×C4⋊C4—216no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—42no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—82no—
954C2×C4⋊C4#4118yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—24no—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42—44no—
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—24no—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×D4—232no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4C2×#4114yes—
1242C2×D4H(5,𝔽2)14yes—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—24no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—432no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—41no—
1303C22×C4—832no—
1304C22×C4C2×#4114yes—
1305C22×C4C2×#4118yes—
1306C22×C4C2×#4118yes—
1307C22×C42−1+414yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—41no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4C2×#4114yes—
1401C4⋊C4C2×#4118yes—
1402C4⋊C4C2×#4114yes—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—41no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4C2×#4118yes—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—28no—
1470C42—24no—
1471C42—24no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—24no—
1480C42—42no—
1481C42—42no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—42no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42—41no—
1494C42—42no—
1495C42—41no—
1496C42C2×#4114yes—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—216no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—22no—
1527C23—21no—
1528C23—48no—
1529C23—48no—
1530C23—48no—
1531C23—48no—
1532C23—48no—
1533C23—48no—
1534C23C22×#4114yes—
1535C23C22×#4112yes—
1536C23C2×H(5,𝔽2)14yes—
1537C23C2×2−1+412yes—
1538C23#58512yes—
1539C23C2611yescharacteristic
1540Q8—44no—
1541Q8—84no—
1542Q8—164no—
1543D4—216no—
1544D4—28no—
1545D4—28no—
1546D4—48no—
1547D4—44no—
1548D4—44no—
1549D4—84no—
1550D4—84no—
1551D4—88no—
1552D4—88no—
1553D4—84no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—28no—
1567C2×C4—216no—
1568C2×C4—28no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—416no—
1641C2×C4—416no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—84no—
1647C2×C4—82no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—84no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4114yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4114yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C22×#4112yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×2−1+412yes—
1663C2×C4C2×2−1+412yes—
1664C2×C4#58512yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—432no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22#351814yes—
1701C22C23×#4111yescharacteristic
1702C22C23×#4111yescharacteristic
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×2−1+411yescharacteristic
1705C22C2×#58511yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22H(7,𝔽2)11yescharacteristic
1708C4—24no—
1709C4—24no—
1710C4—22no—
1711C4—22no—
1712C4—22no—
1713C4—24no—
1714C4—44no—
1715C4—44no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—44no—
1721C4—42no—
1722C4—41no—
1723C4—42no—
1724C4—44no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4#347514yes—
1737C4#349214yes—
1738C2—24no—
1739C2—44no—
1740C2—44no—
1741C2—82no—
1742C2—81no—
1743C2C2×#347511yescharacteristic
1744C2C2×#349211yescharacteristic
1745C2C2×#351811yescharacteristic
1746C2#6292611yescharacteristic
1747C2#6298311yescharacteristic
1748C2#6300811yescharacteristic
1749C2#6301811yescharacteristic
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. #59855C2semidirect
2. #59504C2semidirect
3. #59436C2semidirect
4. #59302C2semidirect
5. #59238C2semidirect
6. #59229C2semidirect
7. #59204C2semidirect
8. #59119C2semidirect
9. #45288C2semidirect
10. #44975C2semidirect
11. #43280C2semidirect
12. #43234C2semidirect
13. #39035C2semidirect
14. #39021C2semidirect
15. #38967C2semidirect
16. #38922C2semidirect
17. #38391C2semidirect
18. #37852C2semidirect
19. #36581C2semidirect
20. #36564C2semidirect
21. #36387C2semidirect
22. #36301C2semidirect
23. #36189C2semidirect
24. #36160C2semidirect
25. #36160C2semidirect
26. #36114C2semidirect
27. #35774C2semidirect
28. #35722C2semidirect
29. #34700C2semidirect
30. #34700C2semidirect
31. #34321C2semidirect
32. #34242C2semidirect
33. #34178C2semidirect
34. C4×#553C2semidirect
35. C2×D4×C4⋊C4C2semidirect
44. #2864C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
49. #2851C22semidirect
52. #2800C22semidirect
53. #2793C22semidirect
54. #2788C22semidirect
55. #2787C22semidirect
56. #2786C22semidirect
57. #2776C22semidirect
58. #2747C22semidirect
59. #2746C22semidirect
60. #2745C22semidirect
61. #2745C22semidirect
62. #2742C22semidirect
63. #2741C22semidirect
64. #2740C22semidirect
65. #2738C22semidirect
66. #2737C22semidirect
67. #2717C22semidirect
68. #2715C22semidirect
69. #2701C22semidirect
70. #2691C22semidirect
71. #2686C22semidirect
72. #2672C22semidirect
73. #2653C22semidirect
74. #2649C22semidirect
75. #2628C22semidirect
76. #2624C22semidirect
77. #2601C22semidirect
78. #2599C22semidirect
79. #2594C22semidirect
81. #2590C22semidirect
82. #2589C22semidirect
83. #2588C22semidirect
84. #2587C22semidirect
85. #2586C22semidirect
87. #2577C22semidirect
88. #2573C22semidirect
89. #2571C22semidirect
90. #2570C22semidirect
91. #2570C22semidirect
92. #2570C22semidirect
93. #2567C22semidirect
97. #2551C22semidirect
98. #2550C22semidirect
100. #2547C22semidirect
101. #2538C22semidirect
104. #2527C22semidirect
105. #2525C22semidirect
106. #2523C22semidirect
107. #2521C22semidirect
108. #2514C22semidirect
109. #2512C22semidirect
110. #2511C22semidirect
113. #2509C22semidirect
114. #2507C22semidirect
115. #2507C22semidirect
116. #2507C22semidirect
118. #2499C22semidirect
119. #2497C22semidirect
120. #2496C22semidirect
121. #2496C22semidirect
122. #2495C22semidirect
123. #2494C22semidirect
124. #2494C22semidirect
125. #2494C22semidirect
126. #2491C22semidirect
130. #2485C22semidirect
131. #2485C22semidirect
132. #2485C22semidirect
134. #2481C22semidirect
135. #2481C22semidirect
138. #2479C22semidirect
139. #2478C22semidirect
140. #2477C22semidirect
141. #2474C22semidirect
142. #2474C22semidirect
146. #2470C22semidirect
149. #2466C22semidirect
150. #2466C22semidirect
158. #2451C22semidirect
161. #2447C22semidirect
162. #2443C22semidirect
163. #2443C22semidirect
166. #2442C22semidirect
167. #2442C22semidirect
168. #2441C22semidirect
169. #2441C22semidirect
171. #2439C22semidirect
172. #2439C22semidirect
176. #2423C22semidirect
177. #2422C22semidirect
178. #2421C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
191. #2415C22semidirect
200. #2374C22semidirect
201. #2373C22semidirect
202. #2373C22semidirect
203. #2370C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
207. #2367C22semidirect
212. #2363C22semidirect
213. #2362C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
218. #2357C22semidirect
219. #2355C22semidirect
222. #2354C22semidirect
223. #2354C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
231. Q8×C4⋊C4C22semidirect
241. #2347C22semidirect
242. #2347C22semidirect
243. #2347C22semidirect
250. #2344C22semidirect
251. #2344C22semidirect
252. #2344C22semidirect
253. #2344C22semidirect
254. #2344C22semidirect
255. #2344C22semidirect
256. #2337C22semidirect
257. #2335C22semidirect
258. #2324C22semidirect
259. #2316C22semidirect
260. #2316C22semidirect
261. #2314C22semidirect
262. #2313C22semidirect
263. #2313C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
267. C4×#126C22semidirect
272. C4×#123C22semidirect
277. C4×#121C22semidirect
280. #2296C22semidirect
285. #2285C22semidirect
292. #2274C22semidirect
293. #2274C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598552
#595042
#594362
#593022
#592382
#592292
#592042
#591192
#452882
#449752
#432802
#432342
#390352
#390212
#389672
#389222
#383912
#378522
#365812
#365642
#363872
#363012
#361892
#361602
#361142
#357742
#357222
#347002
#343212
#342422
#341782
C4×#5532
C2×D4×C4⋊C42