Finite Group Databasebeta

← #7986032

Subgroups — #7986032

Order 512.

5236 conjugacy classes of subgroups.

The subgroup lattice has 1795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59750C212yesmaximal, complemented
3#59228C211yesmaximal, characteristic, complemented
4#59228C211yesmaximal, characteristic, complemented
5#59019C212yesmaximal, complemented
6#49496C214yesmaximal, complemented
7#48471C214yesmaximal, complemented
8#45954C214yesmaximal, complemented
9#45258C212yesmaximal, complemented
10#45161C212yesmaximal, complemented
11#44984C212yesmaximal, complemented
12#44975C212yesmaximal, complemented
13#42685C212yesmaximal, complemented
14#42653C212yesmaximal, complemented
15#42586C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#39340C211yesmaximal, characteristic, complemented
18#39191C211yesmaximal, characteristic, complemented
19#39156C211yesmaximal, characteristic, complemented
20#38965C211yesmaximal, characteristic, complemented
21#38899C214yesmaximal, complemented
22#38262C212yesmaximal, complemented
23#37847C212yesmaximal, complemented
24#36464C212yesmaximal, complemented
25#36439C212yesmaximal, complemented
26#36272C211yesmaximal, characteristic, complemented
27#36210C211yesmaximal, characteristic, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35215C212yesmaximal, complemented
30#35150C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34681C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#552C2212yes—
38C2×#547C2211yescharacteristic
39C2×#537C2212yescomplemented
40C2×#532C2211yescharacteristic
41C2×#525C2212yes—
42C2×#525C2212yes—
43C22×C4×D4C2211yescharacteristic
44C22×#117C2212yes—
45#2859C2211yescharacteristic, complemented
46#2859C2212yescomplemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic, complemented
49#2854C2214yescomplemented
50#2854C2214yescomplemented
51#2852C2214yescomplemented
52#2848C2212yes—
53#2826C2214yes—
54#2825C2214yes—
55#2805C2214yescomplemented
56#2803C2214yescomplemented
57#2800C2214yescomplemented
58#2787C2214yescomplemented
59#2786C2214yescomplemented
60#2781C2214yescomplemented
61#2778C2214yes—
62#2777C2214yescomplemented
63#2777C2214yescomplemented
64#2776C2214yescomplemented
65#2775C2214yescomplemented
66#2768C2214yescomplemented
67#2756C2214yes—
68#2756C2214yescomplemented
69#2756C2214yescomplemented
70#2753C2214yescomplemented
71#2741C2214yes—
72#2740C2214yescomplemented
73#2727C2214yescomplemented
74#2714C2214yes—
75#2711C2214yescomplemented
76#2704C2214yescomplemented
77#2702C2214yescomplemented
78#2701C2214yes—
79#2697C2214yes—
80#2691C2214yescomplemented
81#2689C2214yes—
82#2685C2214yes—
83#2685C2214yes—
84#2678C2214yes—
85#2676C2214yes—
86#2672C2214yescomplemented
87#2671C2214yescomplemented
88#2649C2214yescomplemented
89#2648C2214yes—
90#2648C2214yes—
91#2648C2214yescomplemented
92#2644C2212yes—
93#2629C2212yescomplemented
94#2624C2212yes—
95#2617C2214yes—
96#2617C2214yes—
97#2616C2212yescomplemented
98#2611C2214yescomplemented
99#2601C2214yes—
100#2599C2214yes—
101#2593C2214yescomplemented
102#2593C2214yescomplemented
103#2587C2214yescomplemented
104#2584C2212yescomplemented
105#2578C2214yescomplemented
106#2562C2212yes—
107#2562C2212yes—
108#2562C2212yescomplemented
109#2559C2214yescomplemented
110#2558C2214yescomplemented
111#2558C2214yescomplemented
112#2556C2214yescomplemented
113#2555C2214yescomplemented
114#2553C2214yes—
115#2552C2211yescharacteristic, complemented
116#2552C2211yescharacteristic, complemented
117#2548C2212yes—
118#2542C2211yescharacteristic
119#2542C2211yescharacteristic, complemented
120#2538C2212yes—
121#2538C2212yescomplemented
122#2538C2212yescomplemented
123#2537C2211yescharacteristic
124#2537C2212yes—
125#2537C2211yescharacteristic, complemented
126#2532C2212yescomplemented
127#2526C2212yescomplemented
128#2518C2212yes—
129#2518C2214yescomplemented
130#2518C2214yescomplemented
131#2518C2214yescomplemented
132#2514C2212yescomplemented
133#2513C2211yescharacteristic, complemented
134#2512C2212yes—
135#2512C2212yescomplemented
136#2509C2212yescomplemented
137#2508C2211yescharacteristic, complemented
138#2507C2212yescomplemented
139#2500C2212yes—
140#2500C2211yescharacteristic
141#2500C2212yescomplemented
142#2499C2212yescomplemented
143#2497C2212yescomplemented
144#2497C2212yescomplemented
145#2497C2211yescharacteristic, complemented
146#2496C2212yes—
147#2495C2212yes—
148#2495C2214yescomplemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yes—
152#2494C2212yescomplemented
153#2491C2211yescharacteristic, complemented
154#2490C2212yes—
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2489C2212yescomplemented
158#2487C2212yescomplemented
159#2485C2212yes—
160#2485C2211yescharacteristic
161#2485C2212yescomplemented
162#2480C2214yes—
163#2478C2214yescomplemented
164#2476C2214yescomplemented
165#2474C2214yescomplemented
166#2472C2214yes—
167#2472C2212yes—
168#2471C2214yescomplemented
169#2470C2214yescomplemented
170#2466C2214yes—
171#2465C2214yescomplemented
172#2464C2212yes—
173#2461C2212yes—
174#2460C2214yescomplemented
175#2459C2212yes—
176#2457C2214yes—
177#2455C2214yes—
178#2454C2212yes—
179#2452C2211yescharacteristic
180#2448C2214yescomplemented
181#2445C2211yescharacteristic
182#2441C2212yescomplemented
183#2440C2211yescharacteristic
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2211yescharacteristic
187#2433C2211yescharacteristic
188#2428C2212yes—
189#2428C2212yes—
190#2428C2211yescharacteristic
191#2426C2214yescomplemented
192#2424C2212yes—
193#2422C2212yes—
194#2422C2212yes—
195#2422C2211yescharacteristic
196#2421C2212yescomplemented
197#2421C2212yescomplemented
198#2418C2214yes—
199#2417C2212yescomplemented
200#2416C2211yescharacteristic
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2415C2212yes—
204#2415C2212yes—
205#2415C2214yes—
206#2415C2212yes—
207#2415C2212yescomplemented
208#2415C2214yescomplemented
209#2415C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2211yescharacteristic
212#2414C2214yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2214yescomplemented
219#2408C2212yes—
220#2408C2211yescharacteristic
221#2407C2212yes—
222#2407C2212yescomplemented
223#2398C2212yes—
224#2392C2212yes—
225#2392C2212yes—
226#2388C2212yes—
227#2377C2214yescomplemented
228#2376C2214yescomplemented
229#2370C2212yescomplemented
230#2365C2211yescharacteristic, complemented
231#2363C2212yes—
232#2363C2212yes—
233#2363C2212yescomplemented
234#2363C2214yescomplemented
235#2362C2212yes—
236#2361C2212yes—
237#2360C2212yescomplemented
238#2360C2212yescomplemented
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2354C2211yescharacteristic, complemented
244#2354C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250Q8×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic, complemented
255#2347C2212yescomplemented
256#2347C2212yescomplemented
257#2347C2212yescomplemented
258#2345C2212yescomplemented
259#2344C2212yes—
260#2342C2214yes—
261#2341C2212yescomplemented
262D4×C22⋊C4C2212yes—
263#2337C2214yescomplemented
264#2335C2214yescomplemented
265#2331C2212yescomplemented
266#2330C2212yescomplemented
267#2328C2212yes—
268#2324C2212yes—
269#2324C2212yescomplemented
270#2323C2212yescomplemented
271#2316C2212yescomplemented
272#2316C2212yescomplemented
273#2311C2212yescomplemented
274#2311C2212yescomplemented
275#2311C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#124C2212yescomplemented
280C4×C22⋊Q8C2214yescomplemented
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic, complemented
285C4×#120C2212yes—
286#2298C2212yescomplemented
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic, complemented
290#2293C2212yescomplemented
291#2290C2214yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic, complemented
294#2283C2211yescharacteristic, complemented
295#2280C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#556—48no—
304#552—48no—
305#547—28no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323#525—48no—
324#525—48no—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#120C2314yes—
360C2×#120C2312yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2314yes—
367C2×C4×D4—28no—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×#117—48no—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2314yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2314yes—
416#401C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#393C2312yes—
506#393C2312yes—
507#393C2312yes—
508#392C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2312yes—
718#383C2314yes—
719#383C2312yes—
720#383C2314yes—
721#383C2314yes—
722#382C2312yes—
723#382C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2311yescharacteristic
728#382C2312yes—
729#381C2314yes—
730#381C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2412yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4—42no—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C23×C4—28no—
852C23×C4—28no—
853C23×C4—44no—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874#127—24no—
875#127—42no—
876#126—48no—
877#126—48no—
878#126—48no—
879#125—44no—
880#125—44no—
881#125—48no—
882#125—44no—
883#124—28no—
884#124—44no—
885#124—48no—
886#123—216no—
887#123—48no—
888#123—44no—
889#123—44no—
890#123—48no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—44no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902#121—24no—
903#121—28no—
904#121—24no—
905#121—24no—
906#121—24no—
907#121—28no—
908#121—44no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—42no—
913#121—44no—
914#121—44no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—48no—
919#121—44no—
920#120—44no—
921#120—44no—
922#120—44no—
923#120—48no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—48no—
927C4×Q8—44no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4#4118yes—
951#117—24no—
952#117—24no—
953#117—28no—
954#117—44no—
955#117—44no—
956#117—48no—
957#117—48no—
958#117—48no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—44no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4—28no—
1034C2×C22⋊C4—48no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—48no—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24—24no—
1199C24—24no—
1200C24—42no—
1201C24—42no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2512yes—
1208C24C2511yescharacteristic
1209C24C2512yes—
1210C24C2511yescharacteristic
1211#41—816no—
1212#41—816no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—416no—
1279C2×D4C2×#4114yes—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—28no—
1311C22×C4—28no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—432no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—44no—
1330C22×C4C2×#4118yes—
1331C22×C4H(5,𝔽2)14yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—28no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—22no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4H(5,𝔽2)14yes—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—24no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—41no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—41no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4C2×#4118yes—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—28no—
1504C42—24no—
1505C42—22no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—44no—
1515C42—44no—
1516C42—41no—
1517C42—42no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42—42no—
1525C42C2×#4114yes—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—21no—
1550C23—21no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—48no—
1567C23—48no—
1568C23—84no—
1569C23—84no—
1570C23—84no—
1571C23—84no—
1572C23—84no—
1573C23C22×#4114yes—
1574C23C2×H(5,𝔽2)12yes—
1575C23C2611yescharacteristic
1576Q8—48no—
1577Q8—48no—
1578Q8—84no—
1579D4—28no—
1580D4—44no—
1581D4—48no—
1582D4—48no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—88no—
1594D4—88no—
1595D4—84no—
1596D4—84no—
1597D4—164no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—28no—
1609C2×C4—216no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—82no—
1686C2×C4—82no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4C22×#4112yes—
1692C2×C4C22×#4114yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C2×H(5,𝔽2)14yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4#58512yes—
1700C2×C4#58512yes—
1701C2×C4#58512yes—
1702C22—24no—
1703C22—22no—
1704C22—22no—
1705C22—24no—
1706C22—24no—
1707C22—22no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—42no—
1744C22—816no—
1745C22C23×#4111yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22C2×#58511yescharacteristic
1750C22C2×#58511yescharacteristic
1751C222−1+611yescharacteristic
1752C4—22no—
1753C4—24no—
1754C4—22no—
1755C4—22no—
1756C4—24no—
1757C4—41no—
1758C4—41no—
1759C4—42no—
1760C4—44no—
1761C4—41no—
1762C4—42no—
1763C4—44no—
1764C4—42no—
1765C4—42no—
1766C4—41no—
1767C4—42no—
1768C4—44no—
1769C4—41no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—44no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4#349314yes—
1780C4#351914yes—
1781C2—44no—
1782C2—42no—
1783C2—81no—
1784C2—82no—
1785C2—82no—
1786C2—82no—
1787C2#6275911yescharacteristic
1788C2C2×#351911yescharacteristic
1789C2C2×#349311yescharacteristic
1790C2#6292211yescharacteristic
1791C2#6292511yescharacteristic
1792C2#6300911yescharacteristic
1793C2#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. #59821C2semidirect
2. #59750C2semidirect
3. #59228C2semidirect
4. #59228C2semidirect
5. #59019C2semidirect
6. #49496C2semidirect
7. #48471C2semidirect
8. #45954C2semidirect
9. #45258C2semidirect
10. #45161C2semidirect
11. #44984C2semidirect
12. #44975C2semidirect
13. #42685C2semidirect
14. #42653C2semidirect
15. #42586C2semidirect
16. #42581C2semidirect
17. #39340C2semidirect
18. #39191C2semidirect
19. #39156C2semidirect
20. #38965C2semidirect
21. #38899C2semidirect
22. #38262C2semidirect
23. #37847C2semidirect
24. #36464C2semidirect
25. #36439C2semidirect
26. #36272C2semidirect
27. #36210C2semidirect
28. #36100C2semidirect
29. #35215C2semidirect
30. #35150C2semidirect
31. #34800C2semidirect
32. #34681C2semidirect
33. #34480C2semidirect
34. #34367C2semidirect
35. D4×#117C2semidirect
36. C2×#556C22semidirect
39. C2×#537C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
49. #2854C22semidirect
50. #2854C22semidirect
51. #2852C22semidirect
55. #2805C22semidirect
56. #2803C22semidirect
57. #2800C22semidirect
58. #2787C22semidirect
59. #2786C22semidirect
60. #2781C22semidirect
62. #2777C22semidirect
63. #2777C22semidirect
64. #2776C22semidirect
65. #2775C22semidirect
66. #2768C22semidirect
68. #2756C22semidirect
69. #2756C22semidirect
70. #2753C22semidirect
72. #2740C22semidirect
73. #2727C22semidirect
75. #2711C22semidirect
76. #2704C22semidirect
77. #2702C22semidirect
80. #2691C22semidirect
86. #2672C22semidirect
87. #2671C22semidirect
88. #2649C22semidirect
91. #2648C22semidirect
93. #2629C22semidirect
97. #2616C22semidirect
98. #2611C22semidirect
101. #2593C22semidirect
102. #2593C22semidirect
103. #2587C22semidirect
104. #2584C22semidirect
105. #2578C22semidirect
108. #2562C22semidirect
109. #2559C22semidirect
110. #2558C22semidirect
111. #2558C22semidirect
112. #2556C22semidirect
113. #2555C22semidirect
115. #2552C22semidirect
116. #2552C22semidirect
119. #2542C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
125. #2537C22semidirect
126. #2532C22semidirect
127. #2526C22semidirect
129. #2518C22semidirect
130. #2518C22semidirect
131. #2518C22semidirect
132. #2514C22semidirect
133. #2513C22semidirect
135. #2512C22semidirect
136. #2509C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
141. #2500C22semidirect
142. #2499C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
148. #2495C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
152. #2494C22semidirect
153. #2491C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2489C22semidirect
158. #2487C22semidirect
161. #2485C22semidirect
163. #2478C22semidirect
164. #2476C22semidirect
165. #2474C22semidirect
168. #2471C22semidirect
169. #2470C22semidirect
171. #2465C22semidirect
174. #2460C22semidirect
180. #2448C22semidirect
182. #2441C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
191. #2426C22semidirect
196. #2421C22semidirect
197. #2421C22semidirect
199. #2417C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
207. #2415C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
222. #2407C22semidirect
227. #2377C22semidirect
228. #2376C22semidirect
229. #2370C22semidirect
230. #2365C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
237. #2360C22semidirect
238. #2360C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. Q8×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2347C22semidirect
257. #2347C22semidirect
258. #2345C22semidirect
261. #2341C22semidirect
263. #2337C22semidirect
264. #2335C22semidirect
265. #2331C22semidirect
266. #2330C22semidirect
269. #2324C22semidirect
270. #2323C22semidirect
271. #2316C22semidirect
272. #2316C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
284. C4×#121C22semidirect
286. #2298C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
293. #2285C22semidirect
294. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#597502
#592282
#590192
#494962
#484712
#459542
#452582
#451612
#449842
#449752
#426852
#426532
#425862
#425812
#393402
#391912
#391562
#389652
#388992
#382622
#378472
#364642
#364392
#362722
#362102
#361002
#352152
#351502
#348002
#346812
#344802
#343672
D4×#1172