Finite Group Databasebeta

← #7654359

Subgroups — #7654359

Order 512.

4938 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42757C212yesmaximal, complemented
2#42619C212yesmaximal, complemented
3#41465C214yesmaximal, complemented
4#41457C214yesmaximal, complemented
5#40173C212yesmaximal, complemented
6#40160C214yesmaximal, complemented
7#39529C212yesmaximal, complemented
8#39518C214yesmaximal, complemented
9#39507C211yesmaximal, characteristic, complemented
10#39203C211yesmaximal, characteristic, complemented
11#39158C211yesmaximal, characteristic, complemented
12#38940C211yesmaximal, characteristic, complemented
13#38119C212yesmaximal, complemented
14#37859C212yesmaximal, complemented
15#37711C212yesmaximal, complemented
16#37669C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37501C212yesmaximal, complemented
19#36494C212yesmaximal, complemented
20#36449C212yesmaximal, complemented
21#36415C211yesmaximal, characteristic, complemented
22#36160C211yesmaximal, characteristic, complemented
23#36132C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic, complemented
25#35800C212yesmaximal, complemented
26#35770C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35170C211yesmaximal, characteristic, complemented
29#35162C212yesmaximal, complemented
30#35023C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34813C212yesmaximal, complemented
33#34316C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#533C2212yescomplemented
40C2×#525C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2865C2214yescomplemented
43#2863C2214yescomplemented
44#2862C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yescomplemented
49#2854C2212yes—
50#2851C2212yescomplemented
51#2850C2212yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2832C2214yescomplemented
55#2825C2214yes—
56#2824C2214yescomplemented
57#2803C2214yescomplemented
58#2803C2214yescomplemented
59#2798C2214yescomplemented
60#2797C2214yes—
61#2796C2214yescomplemented
62#2775C2214yescomplemented
63#2759C2214yescomplemented
64#2757C2214yescomplemented
65#2754C2214yescomplemented
66#2753C2214yes—
67#2745C2214yescomplemented
68#2739C2214yescomplemented
69#2737C2214yes—
70#2736C2214yes—
71#2735C2214yes—
72#2730C2214yes—
73#2728C2214yescomplemented
74#2723C2214yescomplemented
75#2705C2214yescomplemented
76#2700C2214yes—
77#2696C2214yes—
78#2696C2214yescomplemented
79#2678C2214yes—
80#2670C2214yes—
81#2663C2214yescomplemented
82#2653C2214yes—
83#2653C2214yescomplemented
84#2652C2214yescomplemented
85#2648C2214yescomplemented
86#2645C2212yescomplemented
87#2644C2212yescomplemented
88#2643C2214yescomplemented
89#2640C2212yescomplemented
90#2632C2214yescomplemented
91#2631C2214yes—
92#2630C2214yescomplemented
93#2628C2212yescomplemented
94#2628C2212yescomplemented
95#2625C2212yes—
96#2625C2212yescomplemented
97#2624C2212yes—
98#2624C2212yescomplemented
99#2622C2214yes—
100#2619C2212yescomplemented
101#2597C2214yescomplemented
102#2595C2214yes—
103#2578C2214yes—
104#2578C2214yescomplemented
105#2576C2214yescomplemented
106#2575C2214yescomplemented
107#2574C2214yes—
108#2571C2212yescomplemented
109#2570C2212yescomplemented
110#2563C2211yescharacteristic
111#2563C2212yes—
112#2563C2211yescharacteristic, complemented
113#2557C2214yescomplemented
114#2557C2214yescomplemented
115#2557C2214yescomplemented
116#2551C2211yescharacteristic, complemented
117#2551C2211yescharacteristic, complemented
118#2547C2212yes—
119#2547C2211yescharacteristic, complemented
120#2542C2211yescharacteristic
121#2537C2211yescharacteristic
122#2537C2211yescharacteristic
123#2535C2212yes—
124#2535C2212yes—
125#2532C2214yescomplemented
126#2531C2214yescomplemented
127#2531C2212yescomplemented
128#2530C2214yes—
129#2530C2214yescomplemented
130#2528C2214yescomplemented
131#2527C2214yescomplemented
132#2526C2212yescomplemented
133#2523C2214yescomplemented
134#2521C2214yescomplemented
135#2518C2214yes—
136#2518C2214yescomplemented
137#2517C2214yescomplemented
138#2514C2212yescomplemented
139#2513C2212yes—
140#2513C2212yes—
141#2513C2211yescharacteristic, complemented
142#2509C2212yescomplemented
143#2508C2212yescomplemented
144#2507C2211yescharacteristic, complemented
145#2499C2212yescomplemented
146#2497C2211yescharacteristic
147#2496C2212yescomplemented
148#2495C2212yes—
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2495C2212yescomplemented
152#2494C2212yes—
153#2494C2212yes—
154#2494C2212yescomplemented
155#2492C2212yes—
156#2492C2212yescomplemented
157#2491C2212yes—
158#2491C2212yes—
159#2491C2212yes—
160#2491C2212yescomplemented
161#2490C2211yescharacteristic
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2489C2212yes—
165#2489C2212yescomplemented
166#2488C2214yescomplemented
167#2488C2214yescomplemented
168#2485C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2476C2212yes—
174#2472C2214yes—
175#2472C2214yes—
176#2472C2214yes—
177#2471C2212yes—
178#2469C2214yescomplemented
179#2467C2214yes—
180#2465C2214yescomplemented
181#2465C2214yescomplemented
182#2459C2214yes—
183#2459C2214yescomplemented
184#2458C2214yescomplemented
185#2457C2214yescomplemented
186#2455C2214yes—
187#2454C2211yescharacteristic, complemented
188#2453C2212yescomplemented
189#2452C2212yes—
190#2452C2212yes—
191#2448C2214yescomplemented
192#2445C2211yescharacteristic, complemented
193#2439C2212yescomplemented
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2439C2212yescomplemented
197#2431C2212yescomplemented
198#2428C2211yescharacteristic
199#2427C2214yes—
200#2427C2212yescomplemented
201#2426C2212yes—
202#2422C2212yes—
203#2421C2212yes—
204#2421C2212yescomplemented
205#2421C2214yescomplemented
206#2420C2212yes—
207#2420C2211yescharacteristic
208#2418C2214yes—
209#2415C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2414C2212yes—
213#2408C2212yes—
214#2408C2212yes—
215#2407C2212yes—
216#2398C2214yes—
217#2398C2214yescomplemented
218#2395C2212yescomplemented
219#2392C2212yes—
220#2374C2214yescomplemented
221#2372C2214yescomplemented
222#2369C2211yescharacteristic, complemented
223#2365C2211yescharacteristic, complemented
224#2365C2212yescomplemented
225#2365C2212yescomplemented
226#2363C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2363C2212yescomplemented
230#2362C2212yescomplemented
231#2361C2212yes—
232#2357C2211yescharacteristic
233#2357C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic, complemented
237#2354C2211yescharacteristic, complemented
238#2353C2212yes—
239#2353C2212yes—
240#2352C2212yes—
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243#2349C2211yescharacteristic
244#2349C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246#2346C2212yescomplemented
247#2346C2212yescomplemented
248#2345C2211yescharacteristic
249#2345C2211yescharacteristic
250#2345C2212yescomplemented
251#2342C2212yes—
252#2342C2212yes—
253#2341C2212yescomplemented
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256#2335C2214yescomplemented
257#2331C2212yescomplemented
258#2324C2212yes—
259#2323C2212yes—
260#2323C2212yescomplemented
261#2323C2212yescomplemented
262#2321C2214yes—
263#2320C2212yescomplemented
264#2320C2212yescomplemented
265#2318C2214yescomplemented
266#2314C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#124C2214yes—
272C4×#124C2214yescomplemented
273C4×#124C2214yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic, complemented
286#2290C2212yes—
287#2290C2212yes—
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yescomplemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303#547—28no—
304#542—48no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#124C2314yes—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#124C2314yes—
320C2×#124C2314yes—
321#525—48no—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4—28no—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393#401C2314yes—
394#401C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
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#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
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#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#381C2312yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#379C2314yes—
739#379C2312yes—
740#379C2312yes—
741#379C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810#376C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2314yes—
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4—42no—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C23×C4—28no—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#127—42no—
867#126—48no—
868#125—24no—
869#125—44no—
870#124—216no—
871#124—48no—
872#124—44no—
873#124—48no—
874#124—48no—
875#123—216no—
876#123—48no—
877#123—44no—
878#123—48no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—44no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—24no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—42no—
895#121—44no—
896#121—44no—
897#120—48no—
898#120—48no—
899C4×Q8—44no—
900C4×Q8—48no—
901C4×Q8—44no—
902C4×Q8—48no—
903C4×Q8—44no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—48no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—48no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4#4118yes—
925#117—28no—
926#117—28no—
927#117—28no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—42no—
932#117—42no—
933#117—44no—
934#117—44no—
935#117—44no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4—28no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4—44no—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2414yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—24no—
1174C24—24no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—816no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—28no—
1190C2×Q8—24no—
1191C2×Q8—44no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—416no—
1237C2×D4C2×#4114yes—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—41no—
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—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—816no—
1289C22×C4C2×#4118yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4H(5,𝔽2)14yes—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—22no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—41no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
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—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4C2×#4118yes—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—28no—
1447C42—22no—
1448C42—24no—
1449C42—28no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—28no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—42no—
1468C42—41no—
1469C42—41no—
1470C42—41no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42C2×#4114yes—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
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—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—48no—
1512C23—48no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23—84no—
1518C23C22×#4114yes—
1519C23#58512yes—
1520C23C2611yescharacteristic
1521Q8—48no—
1522Q8—88no—
1523Q8—84no—
1524Q8—88no—
1525D4—28no—
1526D4—48no—
1527D4—48no—
1528D4—44no—
1529D4—44no—
1530D4—44no—
1531D4—84no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—84no—
1536D4—84no—
1537D4—164no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—216no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
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—24no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—88no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4C22×#4114yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C2×H(5,𝔽2)14yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—22no—
1646C22—22no—
1647C22—24no—
1648C22—22no—
1649C22—24no—
1650C22—24no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—42no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
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—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—816no—
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C4—24no—
1689C4—22no—
1690C4—24no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—44no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—44no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—41no—
1710C4—44no—
1711C4—41no—
1712C4—44no—
1713C4—42no—
1714C4—42no—
1715C4—41no—
1716C4#345514yes—
1717C4#351414yes—
1718C2—44no—
1719C2—42no—
1720C2—82no—
1721C2—82no—
1722C2—82no—
1723C2C2×#345511yescharacteristic
1724C2C2×#351411yescharacteristic
1725C2#6281011yescharacteristic
1726C2#6301811yescharacteristic
1727C2#6302211yescharacteristic
1728C2#6302811yescharacteristic
1729C2#6302811yescharacteristic
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. #42757C2semidirect
2. #42619C2semidirect
3. #41465C2semidirect
4. #41457C2semidirect
5. #40173C2semidirect
6. #40160C2semidirect
7. #39529C2semidirect
8. #39518C2semidirect
9. #39507C2semidirect
10. #39203C2semidirect
11. #39158C2semidirect
12. #38940C2semidirect
13. #38119C2semidirect
14. #37859C2semidirect
15. #37711C2semidirect
16. #37669C2semidirect
17. #37636C2semidirect
18. #37501C2semidirect
19. #36494C2semidirect
20. #36449C2semidirect
21. #36415C2semidirect
22. #36160C2semidirect
23. #36132C2semidirect
24. #36100C2semidirect
25. #35800C2semidirect
26. #35770C2semidirect
27. #35291C2semidirect
28. #35170C2semidirect
29. #35162C2semidirect
30. #35023C2semidirect
31. #34970C2semidirect
32. #34813C2semidirect
33. #34316C2semidirect
34. C4×#555C2semidirect
35. #34126C2semidirect
38. C2×#542C22semidirect
39. C2×#533C22semidirect
42. #2865C22semidirect
43. #2863C22semidirect
44. #2862C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
50. #2851C22semidirect
51. #2850C22semidirect
54. #2832C22semidirect
56. #2824C22semidirect
57. #2803C22semidirect
58. #2803C22semidirect
59. #2798C22semidirect
61. #2796C22semidirect
62. #2775C22semidirect
63. #2759C22semidirect
64. #2757C22semidirect
65. #2754C22semidirect
67. #2745C22semidirect
68. #2739C22semidirect
73. #2728C22semidirect
74. #2723C22semidirect
75. #2705C22semidirect
78. #2696C22semidirect
81. #2663C22semidirect
83. #2653C22semidirect
84. #2652C22semidirect
85. #2648C22semidirect
86. #2645C22semidirect
87. #2644C22semidirect
88. #2643C22semidirect
89. #2640C22semidirect
90. #2632C22semidirect
92. #2630C22semidirect
93. #2628C22semidirect
94. #2628C22semidirect
96. #2625C22semidirect
98. #2624C22semidirect
100. #2619C22semidirect
101. #2597C22semidirect
104. #2578C22semidirect
105. #2576C22semidirect
106. #2575C22semidirect
108. #2571C22semidirect
109. #2570C22semidirect
112. #2563C22semidirect
113. #2557C22semidirect
114. #2557C22semidirect
115. #2557C22semidirect
116. #2551C22semidirect
117. #2551C22semidirect
119. #2547C22semidirect
125. #2532C22semidirect
126. #2531C22semidirect
127. #2531C22semidirect
129. #2530C22semidirect
130. #2528C22semidirect
131. #2527C22semidirect
132. #2526C22semidirect
133. #2523C22semidirect
134. #2521C22semidirect
136. #2518C22semidirect
137. #2517C22semidirect
138. #2514C22semidirect
141. #2513C22semidirect
142. #2509C22semidirect
143. #2508C22semidirect
144. #2507C22semidirect
145. #2499C22semidirect
147. #2496C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2495C22semidirect
154. #2494C22semidirect
156. #2492C22semidirect
160. #2491C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
165. #2489C22semidirect
166. #2488C22semidirect
167. #2488C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
178. #2469C22semidirect
180. #2465C22semidirect
181. #2465C22semidirect
183. #2459C22semidirect
184. #2458C22semidirect
185. #2457C22semidirect
187. #2454C22semidirect
188. #2453C22semidirect
191. #2448C22semidirect
192. #2445C22semidirect
193. #2439C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
196. #2439C22semidirect
197. #2431C22semidirect
200. #2427C22semidirect
204. #2421C22semidirect
205. #2421C22semidirect
217. #2398C22semidirect
218. #2395C22semidirect
220. #2374C22semidirect
221. #2372C22semidirect
222. #2369C22semidirect
223. #2365C22semidirect
224. #2365C22semidirect
225. #2365C22semidirect
229. #2363C22semidirect
230. #2362C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
246. #2346C22semidirect
247. #2346C22semidirect
250. #2345C22semidirect
253. #2341C22semidirect
256. #2335C22semidirect
257. #2331C22semidirect
260. #2323C22semidirect
261. #2323C22semidirect
263. #2320C22semidirect
264. #2320C22semidirect
265. #2318C22semidirect
266. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
285. #2293C22semidirect
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
#427572
#426192
#414652
#414572
#401732
#401602
#395292
#395182
#395072
#392032
#391582
#389402
#381192
#378592
#377112
#376692
#376362
#375012
#364942
#364492
#364152
#361602
#361322
#361002
#358002
#357702
#352912
#351702
#351622
#350232
#349702
#348132
#343162
C4×#5552
#341262