Finite Group Databasebeta

← #7987176

Subgroups — #7987176

Order 512.

4834 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59426C211yesmaximal, characteristic, complemented
2#59424C212yesmaximal, complemented
3#59321C211yesmaximal, characteristic, complemented
4#59244C211yesmaximal, characteristic, complemented
5#59197C212yesmaximal, complemented
6#49953C214yesmaximal, complemented
7#48353C214yesmaximal, complemented
8#46085C214yesmaximal, complemented
9#45383C212yesmaximal, complemented
10#45098C212yesmaximal, complemented
11#45050C212yesmaximal, complemented
12#44904C212yesmaximal, complemented
13#42935C212yesmaximal, complemented
14#42922C212yesmaximal, complemented
15#42638C212yesmaximal, complemented
16#42632C212yesmaximal, complemented
17#39479C211yesmaximal, characteristic, complemented
18#39370C211yesmaximal, characteristic, complemented
19#38978C211yesmaximal, characteristic, complemented
20#38921C211yesmaximal, characteristic, complemented
21#38579C214yesmaximal, complemented
22#38110C212yesmaximal
23#37850C212yesmaximal, complemented
24#36599C212yesmaximal, complemented
25#36564C211yesmaximal, characteristic, complemented
26#36439C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36154C211yesmaximal, characteristic, complemented
29#35253C212yesmaximal, complemented
30#35231C212yesmaximal, complemented
31#34772C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C2×#2354C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#554C2211yescharacteristic
38C2×#544C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2859C2211yescharacteristic, complemented
43#2857C2214yes—
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2857C2211yescharacteristic, complemented
47#2852C2214yes—
48#2851C2214yes—
49#2848C2212yes—
50#2837C2214yescomplemented
51#2836C2214yescomplemented
52#2796C2214yes—
53#2791C2214yescomplemented
54#2787C2214yescomplemented
55#2786C2214yes—
56#2777C2214yescomplemented
57#2772C2214yescomplemented
58#2764C2214yescomplemented
59#2759C2214yescomplemented
60#2754C2214yescomplemented
61#2754C2214yescomplemented
62#2751C2214yes—
63#2747C2214yescomplemented
64#2747C2214yescomplemented
65#2747C2214yescomplemented
66#2744C2214yescomplemented
67#2741C2214yescomplemented
68#2740C2214yes—
69#2739C2214yescomplemented
70#2739C2214yescomplemented
71#2731C2214yescomplemented
72#2730C2214yes—
73#2729C2214yescomplemented
74#2725C2214yescomplemented
75#2722C2214yescomplemented
76#2721C2214yescomplemented
77#2715C2214yescomplemented
78#2707C2214yescomplemented
79#2705C2214yes—
80#2704C2214yescomplemented
81#2702C2214yescomplemented
82#2702C2214yescomplemented
83#2698C2214yescomplemented
84#2680C2214yescomplemented
85#2664C2214yescomplemented
86#2655C2214yescomplemented
87#2654C2214yescomplemented
88#2654C2214yescomplemented
89#2644C2212yes—
90#2629C2214yescomplemented
91#2629C2212yescomplemented
92#2628C2214yescomplemented
93#2625C2212yescomplemented
94#2624C2212yes—
95#2601C2214yes—
96#2601C2214yescomplemented
97#2599C2214yescomplemented
98#2592C2212yes—
99#2586C2214yescomplemented
100#2585C2214yescomplemented
101#2585C2214yescomplemented
102#2582C2211yescharacteristic, complemented
103#2570C2212yescomplemented
104#2569C2214yes—
105#2569C2214yes—
106#2567C2211yescharacteristic, complemented
107#2565C2212yescomplemented
108#2563C2211yescharacteristic
109#2562C2212yescomplemented
110#2560C2214yes—
111#2552C2212yescomplemented
112#2552C2211yescharacteristic, complemented
113#2552C2212yescomplemented
114#2551C2211yescharacteristic, complemented
115#2549C2214yes—
116#2546C2212yescomplemented
117#2538C2212yes—
118#2538C2211yescharacteristic
119#2524C2214yescomplemented
120#2522C2212yescomplemented
121#2520C2212yescomplemented
122#2519C2214yescomplemented
123#2514C2212yescomplemented
124#2512C2212yes—
125#2512C2212yes—
126#2512C2212yes—
127#2511C2214yescomplemented
128#2511C2212yescomplemented
129#2511C2212yescomplemented
130#2511C2211yescharacteristic, complemented
131#2510C2214yes—
132#2509C2212yescomplemented
133#2509C2212yescomplemented
134#2507C2212yescomplemented
135#2507C2211yescharacteristic, complemented
136#2507C2212yescomplemented
137#2507C2212yescomplemented
138#2506C2212yescomplemented
139#2506C2212yescomplemented
140#2505C2214yes—
141#2505C2212yes—
142#2502C2212yes—
143#2502C2211yescharacteristic
144#2499C2212yescomplemented
145#2498C2214yescomplemented
146#2497C2212yescomplemented
147#2497C2211yescharacteristic, complemented
148#2496C2212yescomplemented
149#2496C2212yescomplemented
150#2496C2212yescomplemented
151#2495C2212yescomplemented
152#2494C2212yescomplemented
153#2493C2214yescomplemented
154#2492C2211yescharacteristic, complemented
155#2491C2212yes—
156#2489C2212yescomplemented
157#2489C2212yescomplemented
158#2487C2212yes—
159#2487C2211yescharacteristic
160#2487C2212yes—
161#2486C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2480C2214yes—
165#2480C2214yes—
166#2480C2212yes—
167#2480C2214yes—
168#2478C2214yescomplemented
169#2475C2214yescomplemented
170#2474C2214yescomplemented
171#2473C2214yes—
172#2472C2214yes—
173#2469C2214yescomplemented
174#2469C2214yescomplemented
175#2468C2212yes—
176#2457C2212yes—
177#2454C2212yes—
178#2454C2211yescharacteristic
179#2452C2212yes—
180#2451C2212yescomplemented
181#2450C2212yes—
182#2450C2214yes—
183#2448C2212yes—
184#2447C2212yes—
185#2447C2211yescharacteristic
186#2446C2214yescomplemented
187#2442C2212yes—
188#2442C2212yes—
189#2442C2212yes—
190#2442C2211yescharacteristic
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2212yes—
196#2440C2211yescharacteristic
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2439C2212yescomplemented
200#2438C2214yescomplemented
201#2438C2214yescomplemented
202#2437C2214yes—
203#2437C2214yes—
204#2437C2214yes—
205#2435C2211yescharacteristic
206#2427C2211yescharacteristic
207#2423C2212yescomplemented
208#2422C2212yes—
209#2421C2214yescomplemented
210#2421C2212yescomplemented
211#2420C2211yescharacteristic
212#2418C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2211yescharacteristic
216#2417C2211yescharacteristic
217#2415C2212yescomplemented
218#2412C2214yes—
219#2408C2211yescharacteristic
220#2402C2212yescomplemented
221#2396C2212yescomplemented
222#2395C2212yes—
223#2392C2212yes—
224#2378C2214yescomplemented
225#2376C2214yescomplemented
226#2370C2212yescomplemented
227#2370C2212yescomplemented
228#2369C2212yescomplemented
229#2369C2211yescharacteristic, complemented
230#2367C2212yes—
231#2365C2212yescomplemented
232#2362C2212yescomplemented
233#2360C2212yes—
234#2360C2212yes—
235#2355C2211yescharacteristic, complemented
236#2355C2212yescomplemented
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2354C2214yes—
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2354C2212yescomplemented
248#2352C2212yes—
249#2352C2212yescomplemented
250Q8×C4⋊C4C2211yescharacteristic, complemented
251Q8×C4⋊C4C2211yescharacteristic, complemented
252#2349C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254#2347C2212yescomplemented
255#2345C2212yes—
256#2345C2212yes—
257#2345C2212yes—
258#2344C2212yescomplemented
259#2342C2214yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2330C2212yescomplemented
263#2324C2212yes—
264#2323C2214yescomplemented
265#2323C2212yescomplemented
266#2323C2212yescomplemented
267#2320C2212yescomplemented
268#2319C2212yes—
269#2317C2212yescomplemented
270#2317C2212yescomplemented
271#2316C2212yescomplemented
272#2314C2212yescomplemented
273#2314C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2214yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#120C2212yes—
285#2295C2211yescharacteristic, complemented
286#2293C2211yescharacteristic
287C2×#390C2212yes—
288#2290C2212yes—
289C2×#388C2214yes—
290#2285C2211yescharacteristic, complemented
291#2285C2211yescharacteristic, complemented
292C2×#384C2211yescharacteristic
293#2280C2212yes—
294C2×#380C2212yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—48no—
302#554—28no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#120C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4—28no—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117—48no—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2314yes—
390C22×C42C2312yes—
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#399C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#392C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
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#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2314yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#379C2314yes—
754#379C2312yes—
755#379C2312yes—
756#379C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2311yescharacteristic
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4—28no—
832C23×C4—28no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—48no—
855#126—28no—
856#126—48no—
857#126—48no—
858#126—84no—
859#126—84no—
860#125—24no—
861#125—28no—
862#125—48no—
863#125—44no—
864#125—44no—
865#125—84no—
866#124—24no—
867#124—42no—
868#124—48no—
869#123—28no—
870#123—84no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—24no—
875C22⋊Q8—24no—
876C22⋊Q8—216no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—82no—
884#121—24no—
885#121—42no—
886#120—44no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×Q8—44no—
893C4×Q8—82no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4#4118yes—
907#117—28no—
908#117—28no—
909#117—28no—
910#117—44no—
911#117—44no—
912#117—48no—
913#117—48no—
914#117—44no—
915#117—44no—
916#117—44no—
917#117—84no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—82no—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—48no—
1007C2×C22⋊C4—48no—
1008C2×C22⋊C4—84no—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—48no—
1063C2×C42—44no—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—24no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—28no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—416no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4C2×#4114yes—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—432no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4C2×#4118yes—
1261C22×C42−1+414yes—
1262C22×C42−1+414yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—41no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4C2×#4114yes—
1372C4⋊C4H(5,𝔽2)14yes—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4C2×#4118yes—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—28no—
1433C42—28no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—41no—
1450C42—44no—
1451C42—44no—
1452C42—41no—
1453C42—44no—
1454C42C2×#4114yes—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—48no—
1480C23—48no—
1481C23—48no—
1482C23—48no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23C22×#4114yes—
1487C23C2×2−1+412yes—
1488C23C2×2−1+412yes—
1489C23#58512yes—
1490C23C2611yescharacteristic
1491Q8—44no—
1492Q8—44no—
1493Q8—84no—
1494Q8—84no—
1495Q8—88no—
1496D4—28no—
1497D4—48no—
1498D4—44no—
1499D4—44no—
1500D4—84no—
1501D4—84no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—28no—
1513C2×C4—28no—
1514C2×C4—216no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—48no—
1595C2×C4—82no—
1596C2×C4—88no—
1597C2×C4—88no—
1598C2×C4—84no—
1599C2×C4—164no—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C2×H(5,𝔽2)14yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4C2×2−1+412yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4#58512yes—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—816no—
1639C22#355514yes—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C4—22no—
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—44no—
1671C4—44no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4#349514yes—
1677C4#352014yes—
1678C2—24no—
1679C2—44no—
1680C2—81no—
1681C2—82no—
1682C2C2×#355511yescharacteristic
1683C2C2×#352011yescharacteristic
1684C2C2×#349511yescharacteristic
1685C2#6291711yescharacteristic
1686C2#6292911yescharacteristic
1687C2#6300811yescharacteristic
1688C2#6301811yescharacteristic
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. #59426C2semidirect
2. #59424C2semidirect
3. #59321C2semidirect
4. #59244C2semidirect
5. #59197C2semidirect
6. #49953C2semidirect
7. #48353C2semidirect
8. #46085C2semidirect
9. #45383C2semidirect
10. #45098C2semidirect
11. #45050C2semidirect
12. #44904C2semidirect
13. #42935C2semidirect
14. #42922C2semidirect
15. #42638C2semidirect
16. #42632C2semidirect
17. #39479C2semidirect
18. #39370C2semidirect
19. #38978C2semidirect
20. #38921C2semidirect
21. #38579C2semidirect
23. #37850C2semidirect
24. #36599C2semidirect
25. #36564C2semidirect
26. #36439C2semidirect
27. #36189C2semidirect
28. #36154C2semidirect
29. #35253C2semidirect
30. #35231C2semidirect
31. #34772C2semidirect
33. #34484C2semidirect
34. #34383C2semidirect
35. C2×#2354C2semidirect
36. C2×#556C22semidirect
38. C2×#544C22semidirect
42. #2859C22semidirect
46. #2857C22semidirect
50. #2837C22semidirect
51. #2836C22semidirect
53. #2791C22semidirect
54. #2787C22semidirect
56. #2777C22semidirect
57. #2772C22semidirect
58. #2764C22semidirect
59. #2759C22semidirect
60. #2754C22semidirect
61. #2754C22semidirect
63. #2747C22semidirect
64. #2747C22semidirect
65. #2747C22semidirect
66. #2744C22semidirect
67. #2741C22semidirect
69. #2739C22semidirect
70. #2739C22semidirect
71. #2731C22semidirect
73. #2729C22semidirect
74. #2725C22semidirect
75. #2722C22semidirect
76. #2721C22semidirect
77. #2715C22semidirect
78. #2707C22semidirect
80. #2704C22semidirect
81. #2702C22semidirect
82. #2702C22semidirect
83. #2698C22semidirect
84. #2680C22semidirect
85. #2664C22semidirect
86. #2655C22semidirect
87. #2654C22semidirect
88. #2654C22semidirect
90. #2629C22semidirect
91. #2629C22semidirect
92. #2628C22semidirect
93. #2625C22semidirect
96. #2601C22semidirect
97. #2599C22semidirect
99. #2586C22semidirect
100. #2585C22semidirect
101. #2585C22semidirect
102. #2582C22semidirect
103. #2570C22semidirect
106. #2567C22semidirect
107. #2565C22semidirect
109. #2562C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
116. #2546C22semidirect
119. #2524C22semidirect
120. #2522C22semidirect
121. #2520C22semidirect
122. #2519C22semidirect
123. #2514C22semidirect
127. #2511C22semidirect
128. #2511C22semidirect
129. #2511C22semidirect
130. #2511C22semidirect
132. #2509C22semidirect
133. #2509C22semidirect
134. #2507C22semidirect
135. #2507C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2506C22semidirect
139. #2506C22semidirect
144. #2499C22semidirect
145. #2498C22semidirect
146. #2497C22semidirect
147. #2497C22semidirect
148. #2496C22semidirect
149. #2496C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2494C22semidirect
153. #2493C22semidirect
154. #2492C22semidirect
156. #2489C22semidirect
157. #2489C22semidirect
161. #2486C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
168. #2478C22semidirect
169. #2475C22semidirect
170. #2474C22semidirect
173. #2469C22semidirect
174. #2469C22semidirect
180. #2451C22semidirect
186. #2446C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2438C22semidirect
201. #2438C22semidirect
207. #2423C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
217. #2415C22semidirect
220. #2402C22semidirect
221. #2396C22semidirect
224. #2378C22semidirect
225. #2376C22semidirect
226. #2370C22semidirect
227. #2370C22semidirect
228. #2369C22semidirect
229. #2369C22semidirect
231. #2365C22semidirect
232. #2362C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
247. #2354C22semidirect
249. #2352C22semidirect
250. Q8×C4⋊C4C22semidirect
251. Q8×C4⋊C4C22semidirect
254. #2347C22semidirect
258. #2344C22semidirect
261. #2334C22semidirect
262. #2330C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
266. #2323C22semidirect
267. #2320C22semidirect
269. #2317C22semidirect
270. #2317C22semidirect
271. #2316C22semidirect
272. #2314C22semidirect
273. #2314C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
285. #2295C22semidirect
290. #2285C22semidirect
291. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#594262
#594242
#593212
#592442
#591972
#499532
#483532
#460852
#453832
#450982
#450502
#449042
#429352
#429222
#426382
#426322
#394792
#393702
#389782
#389212
#385792
#381102
#378502
#365992
#365642
#364392
#361892
#361542
#352532
#352312
#347722
#347002
#344842
#343832
C2×#23542