Finite Group Databasebeta

← #7987045

Subgroups — #7987045

Order 512.

5061 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59435C211yesmaximal, characteristic, complemented
2#59322C211yesmaximal, characteristic, complemented
3#59312C211yesmaximal, characteristic, complemented
4#59273C212yesmaximal
5#59198C212yesmaximal, complemented
6#49938C214yesmaximal, complemented
7#48334C214yesmaximal, complemented
8#46168C214yesmaximal, complemented
9#45083C212yesmaximal, complemented
10#45027C212yesmaximal, complemented
11#44971C212yesmaximal, complemented
12#44902C212yesmaximal, complemented
13#42957C212yesmaximal, complemented
14#42924C212yesmaximal, complemented
15#42638C212yesmaximal, complemented
16#42635C212yesmaximal, complemented
17#39761C211yesmaximal, characteristic, complemented
18#39369C211yesmaximal, characteristic, complemented
19#39158C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#38422C214yesmaximal, complemented
22#38054C212yesmaximal, complemented
23#37853C212yesmaximal, complemented
24#36256C212yesmaximal, complemented
25#36234C212yesmaximal, complemented
26#36193C211yesmaximal, characteristic, complemented
27#36180C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35239C212yesmaximal, complemented
31#34780C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2212yescomplemented
39C2×#551C2214yes—
40C2×#544C2212yescomplemented
41C2×#529C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2212yes—
44#2868C2211yescharacteristic, complemented
45#2857C2214yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2855C2212yes—
49#2851C2214yes—
50#2851C2214yes—
51#2848C2212yes—
52#2838C2214yescomplemented
53#2836C2214yescomplemented
54#2793C2214yescomplemented
55#2792C2214yescomplemented
56#2787C2214yescomplemented
57#2775C2214yescomplemented
58#2773C2214yescomplemented
59#2765C2214yescomplemented
60#2761C2214yes—
61#2759C2214yescomplemented
62#2757C2214yes—
63#2747C2214yescomplemented
64#2745C2214yescomplemented
65#2742C2214yescomplemented
66#2738C2214yescomplemented
67#2738C2214yescomplemented
68#2737C2214yes—
69#2725C2214yescomplemented
70#2723C2214yes—
71#2723C2214yes—
72#2722C2214yescomplemented
73#2721C2214yescomplemented
74#2721C2214yescomplemented
75#2720C2214yescomplemented
76#2717C2214yescomplemented
77#2716C2214yescomplemented
78#2706C2214yes—
79#2700C2214yescomplemented
80#2698C2214yescomplemented
81#2690C2214yescomplemented
82#2690C2214yescomplemented
83#2687C2214yescomplemented
84#2680C2214yescomplemented
85#2677C2214yescomplemented
86#2674C2214yescomplemented
87#2666C2214yescomplemented
88#2666C2214yescomplemented
89#2664C2214yescomplemented
90#2663C2214yescomplemented
91#2644C2212yes—
92#2640C2212yes—
93#2629C2214yescomplemented
94#2628C2214yescomplemented
95#2628C2212yescomplemented
96#2625C2212yescomplemented
97#2611C2214yescomplemented
98#2611C2214yescomplemented
99#2609C2214yescomplemented
100#2604C2214yescomplemented
101#2585C2214yescomplemented
102#2583C2214yes—
103#2582C2211yescharacteristic, complemented
104#2573C2214yescomplemented
105#2571C2212yescomplemented
106#2570C2214yescomplemented
107#2567C2211yescharacteristic, complemented
108#2567C2212yescomplemented
109#2567C2212yescomplemented
110#2567C2212yescomplemented
111#2563C2211yescharacteristic
112#2561C2214yes—
113#2552C2212yescomplemented
114#2552C2212yescomplemented
115#2552C2212yescomplemented
116#2552C2212yescomplemented
117#2552C2211yescharacteristic, complemented
118#2551C2212yescomplemented
119#2551C2211yescharacteristic, complemented
120#2550C2214yescomplemented
121#2547C2212yescomplemented
122#2542C2212yes—
123#2538C2211yescharacteristic
124#2528C2214yescomplemented
125#2524C2212yescomplemented
126#2520C2214yescomplemented
127#2515C2212yescomplemented
128#2514C2211yescharacteristic, complemented
129#2512C2212yes—
130#2512C2212yes—
131#2512C2212yes—
132#2511C2212yescomplemented
133#2511C2212yescomplemented
134#2508C2212yescomplemented
135#2508C2211yescharacteristic, complemented
136#2507C2212yescomplemented
137#2507C2212yescomplemented
138#2507C2212yescomplemented
139#2506C2212yescomplemented
140#2503C2211yescharacteristic
141#2502C2212yes—
142#2502C2212yescomplemented
143#2501C2212yes—
144#2499C2212yescomplemented
145#2496C2212yescomplemented
146#2496C2212yescomplemented
147#2495C2212yescomplemented
148#2495C2211yescharacteristic, complemented
149#2494C2212yescomplemented
150#2494C2212yescomplemented
151#2493C2212yes—
152#2493C2214yes—
153#2492C2212yescomplemented
154#2491C2212yes—
155#2489C2212yescomplemented
156#2489C2211yescharacteristic, complemented
157#2487C2212yes—
158#2486C2211yescharacteristic
159#2486C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2483C2214yes—
163#2482C2214yes—
164#2480C2212yes—
165#2480C2214yes—
166#2479C2214yes—
167#2478C2214yescomplemented
168#2475C2214yescomplemented
169#2470C2214yescomplemented
170#2468C2212yes—
171#2461C2214yes—
172#2457C2212yes—
173#2454C2212yes—
174#2454C2211yescharacteristic
175#2452C2212yes—
176#2450C2214yes—
177#2448C2212yes—
178#2447C2212yes—
179#2447C2211yescharacteristic
180#2442C2212yes—
181#2442C2212yes—
182#2442C2211yescharacteristic
183#2442C2211yescharacteristic
184#2441C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yes—
188#2440C2212yes—
189#2440C2212yes—
190#2440C2212yes—
191#2440C2212yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2438C2214yes—
197#2438C2214yes—
198#2438C2214yes—
199#2438C2214yescomplemented
200#2438C2214yescomplemented
201#2438C2214yescomplemented
202#2437C2214yes—
203#2437C2214yes—
204#2437C2214yes—
205#2435C2211yescharacteristic
206#2427C2211yescharacteristic
207#2423C2212yescomplemented
208#2422C2212yes—
209#2420C2211yescharacteristic
210#2419C2212yes—
211#2419C2214yes—
212#2419C2214yescomplemented
213#2418C2212yes—
214#2418C2214yes—
215#2417C2212yes—
216#2417C2211yescharacteristic
217#2417C2211yescharacteristic
218#2415C2212yescomplemented
219#2415C2214yescomplemented
220#2413C2214yescomplemented
221#2408C2211yescharacteristic
222#2402C2212yescomplemented
223#2401C2212yescomplemented
224#2395C2212yes—
225#2392C2212yes—
226#2383C2214yescomplemented
227#2378C2214yescomplemented
228#2370C2212yescomplemented
229#2370C2212yescomplemented
230#2369C2211yescharacteristic, complemented
231#2362C2212yescomplemented
232#2361C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2360C2212yescomplemented
236#2356C2212yescomplemented
237#2355C2211yescharacteristic, complemented
238#2354C2211yescharacteristic
239#2354C2214yes—
240#2354C2212yes—
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2354C2212yes—
248#2352C2212yescomplemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250Q8×C4⋊C4C2211yescharacteristic, complemented
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yescomplemented
256#2346C2212yescomplemented
257#2344C2212yes—
258#2344C2212yescomplemented
259#2344C2212yescomplemented
260D4×C22⋊C4C2212yes—
261#2331C2212yescomplemented
262#2331C2212yescomplemented
263#2330C2212yescomplemented
264#2330C2212yescomplemented
265#2326C2212yes—
266#2323C2214yescomplemented
267#2323C2212yescomplemented
268#2322C2214yescomplemented
269#2319C2212yes—
270#2317C2212yescomplemented
271#2317C2212yescomplemented
272#2316C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#120C2212yes—
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285C2×#390C2212yes—
286#2290C2214yes—
287C2×#388C2214yes—
288#2285C2212yes—
289C2×#384C2211yescharacteristic
290C2×#384C2211yescharacteristic, complemented
291#2283C2212yes—
292#2283C2211yescharacteristic, complemented
293#2280C2212yes—
294C2×#380C2212yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—28no—
302#554—48no—
303#552—48no—
304#551—416no—
305#544—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#120C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4—28no—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×#117—48no—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2314yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C42C2312yes—
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2314yes—
403#401C2312yes—
404#401C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#392C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2314yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#383C2314yes—
702#383C2312yes—
703#383C2312yes—
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#381C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#379C2312yes—
759#379C2314yes—
760#379C2312yes—
761#379C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C23×C4—28no—
834C23×C4—28no—
835C23×C4—44no—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—48no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#126—28no—
861#126—48no—
862#126—48no—
863#126—48no—
864#125—24no—
865#125—28no—
866#125—24no—
867#125—28no—
868#125—48no—
869#125—48no—
870#125—48no—
871#124—24no—
872#124—42no—
873#124—48no—
874#123—28no—
875#123—28no—
876#123—48no—
877#123—48no—
878#123—48no—
879C22⋊Q8—28no—
880C22⋊Q8—24no—
881C22⋊Q8—24no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—216no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—44no—
894#121—24no—
895#121—42no—
896#120—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—216no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916C4×D4#4118yes—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—44no—
921#117—48no—
922#117—48no—
923#117—48no—
924#117—48no—
925#117—48no—
926#117—44no—
927#117—44no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—48no—
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C42—28no—
1072C2×C42—24no—
1073C2×C42—24no—
1074C2×C42—48no—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24—24no—
1182C24—24no—
1183C24—24no—
1184C24—24no—
1185C24—42no—
1186C24—42no—
1187C24—42no—
1188C24C2512yes—
1189C24C2512yes—
1190C24C2511yescharacteristic
1191C24C2511yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—416no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4C2×#4114yes—
1225C2×D4H(5,𝔽2)14yes—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—432no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4C2×#4118yes—
1276C22×C42−1+414yes—
1277C22×C42−1+414yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4C2×#4114yes—
1386C4⋊C4H(5,𝔽2)14yes—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4C2×#4118yes—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—28no—
1446C42—28no—
1447C42—22no—
1448C42—28no—
1449C42—24no—
1450C42—22no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—22no—
1459C42—44no—
1460C42—44no—
1461C42—41no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—48no—
1491C23—48no—
1492C23—48no—
1493C23—48no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23C22×#4114yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×2−1+412yes—
1501C23C2×2−1+412yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—44no—
1505Q8—84no—
1506Q8—164no—
1507Q8—164no—
1508D4—28no—
1509D4—28no—
1510D4—48no—
1511D4—48no—
1512D4—44no—
1513D4—84no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—28no—
1527C2×C4—28no—
1528C2×C4—216no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—48no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—164no—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4114yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C2×H(5,𝔽2)12yes—
1617C2×C4C2×H(5,𝔽2)14yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4C2×2−1+412yes—
1620C2×C4C2×2−1+412yes—
1621C2×C4C2×2−1+412yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4#58512yes—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—24no—
1632C22—22no—
1633C22—22no—
1634C22—24no—
1635C22—24no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—816no—
1652C22#354414yes—
1653C22C23×#4111yescharacteristic
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×2−1+411yescharacteristic
1657C22C22×2−1+411yescharacteristic
1658C22C2×#58511yescharacteristic
1659C222−1+611yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—24no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—44no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—44no—
1675C4—44no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—41no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4#349514yes—
1690C4#352014yes—
1691C2—24no—
1692C2—42no—
1693C2—44no—
1694C2—82no—
1695C2C2×#354411yescharacteristic
1696C2C2×#352011yescharacteristic
1697C2C2×#349511yescharacteristic
1698C2#6291511yescharacteristic
1699C2#6295911yescharacteristic
1700C2#6298511yescharacteristic
1701C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59435C2semidirect
2. #59322C2semidirect
3. #59312C2semidirect
5. #59198C2semidirect
6. #49938C2semidirect
7. #48334C2semidirect
8. #46168C2semidirect
9. #45083C2semidirect
10. #45027C2semidirect
11. #44971C2semidirect
12. #44902C2semidirect
13. #42957C2semidirect
14. #42924C2semidirect
15. #42638C2semidirect
16. #42635C2semidirect
17. #39761C2semidirect
18. #39369C2semidirect
19. #39158C2semidirect
20. #38921C2semidirect
21. #38422C2semidirect
22. #38054C2semidirect
23. #37853C2semidirect
24. #36256C2semidirect
25. #36234C2semidirect
26. #36193C2semidirect
27. #36180C2semidirect
28. #36154C2semidirect
29. #35253C2semidirect
30. #35239C2semidirect
31. #34780C2semidirect
33. #34484C2semidirect
34. #34384C2semidirect
35. C2×#2354C2semidirect
38. C2×#552C22semidirect
40. C2×#544C22semidirect
44. #2868C22semidirect
47. #2857C22semidirect
52. #2838C22semidirect
53. #2836C22semidirect
54. #2793C22semidirect
55. #2792C22semidirect
56. #2787C22semidirect
57. #2775C22semidirect
58. #2773C22semidirect
59. #2765C22semidirect
61. #2759C22semidirect
63. #2747C22semidirect
64. #2745C22semidirect
65. #2742C22semidirect
66. #2738C22semidirect
67. #2738C22semidirect
69. #2725C22semidirect
72. #2722C22semidirect
73. #2721C22semidirect
74. #2721C22semidirect
75. #2720C22semidirect
76. #2717C22semidirect
77. #2716C22semidirect
79. #2700C22semidirect
80. #2698C22semidirect
81. #2690C22semidirect
82. #2690C22semidirect
83. #2687C22semidirect
84. #2680C22semidirect
85. #2677C22semidirect
86. #2674C22semidirect
87. #2666C22semidirect
88. #2666C22semidirect
89. #2664C22semidirect
90. #2663C22semidirect
93. #2629C22semidirect
94. #2628C22semidirect
95. #2628C22semidirect
96. #2625C22semidirect
97. #2611C22semidirect
98. #2611C22semidirect
99. #2609C22semidirect
100. #2604C22semidirect
101. #2585C22semidirect
103. #2582C22semidirect
104. #2573C22semidirect
105. #2571C22semidirect
106. #2570C22semidirect
107. #2567C22semidirect
108. #2567C22semidirect
109. #2567C22semidirect
110. #2567C22semidirect
113. #2552C22semidirect
114. #2552C22semidirect
115. #2552C22semidirect
116. #2552C22semidirect
117. #2552C22semidirect
118. #2551C22semidirect
119. #2551C22semidirect
120. #2550C22semidirect
121. #2547C22semidirect
124. #2528C22semidirect
125. #2524C22semidirect
126. #2520C22semidirect
127. #2515C22semidirect
128. #2514C22semidirect
132. #2511C22semidirect
133. #2511C22semidirect
134. #2508C22semidirect
135. #2508C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
142. #2502C22semidirect
144. #2499C22semidirect
145. #2496C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
153. #2492C22semidirect
155. #2489C22semidirect
156. #2489C22semidirect
159. #2486C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
167. #2478C22semidirect
168. #2475C22semidirect
169. #2470C22semidirect
184. #2441C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
199. #2438C22semidirect
200. #2438C22semidirect
201. #2438C22semidirect
207. #2423C22semidirect
212. #2419C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2413C22semidirect
222. #2402C22semidirect
223. #2401C22semidirect
226. #2383C22semidirect
227. #2378C22semidirect
228. #2370C22semidirect
229. #2370C22semidirect
230. #2369C22semidirect
231. #2362C22semidirect
235. #2360C22semidirect
236. #2356C22semidirect
237. #2355C22semidirect
248. #2352C22semidirect
249. Q8×C4⋊C4C22semidirect
250. Q8×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. #2346C22semidirect
258. #2344C22semidirect
259. #2344C22semidirect
261. #2331C22semidirect
262. #2331C22semidirect
263. #2330C22semidirect
264. #2330C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2322C22semidirect
270. #2317C22semidirect
271. #2317C22semidirect
272. #2316C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#125C22semidirect
279. C4×C22⋊Q8C22semidirect
283. #2295C22semidirect
290. C2×#384C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#594352
#593222
#593122
#592732
#591982
#499382
#483342
#461682
#450832
#450272
#449712
#449022
#429572
#429242
#426382
#426352
#397612
#393692
#391582
#389212
#384222
#380542
#378532
#362562
#362342
#361932
#361802
#361542
#352532
#352392
#347802
#347002
#344842
#343842
C2×#23542