Finite Group Databasebeta

← #7685834

Subgroups — #7685834

Order 512.

5027 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59924C211yesmaximal, characteristic, complemented
2#59918C212yesmaximal, complemented
3#59629C212yesmaximal, complemented
4#59454C212yesmaximal, complemented
5#59274C214yesmaximal, complemented
6#59136C211yesmaximal, characteristic, complemented
7#59113C212yesmaximal, complemented
8#59052C211yesmaximal, characteristic, complemented
9#44953C212yesmaximal, complemented
10#44946C212yesmaximal, complemented
11#43572C214yesmaximal, complemented
12#43563C214yesmaximal, complemented
13#39665C212yesmaximal, complemented
14#39657C212yesmaximal, complemented
15#39643C211yesmaximal, characteristic, complemented
16#39608C211yesmaximal, characteristic, complemented
17#38444C214yesmaximal, complemented
18#38098C212yesmaximal, complemented
19#36564C211yesmaximal, characteristic, complemented
20#36561C211yesmaximal, characteristic, complemented
21#36553C212yesmaximal, complemented
22#36476C211yesmaximal, characteristic, complemented
23#36275C212yesmaximal, complemented
24#36193C212yesmaximal, complemented
25#36133C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic, complemented
27#35871C212yesmaximal, complemented
28#35783C212yesmaximal, complemented
29#34947C212yesmaximal, complemented
30#34772C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34298C212yesmaximal
33#34213C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic
35C2×#2369C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#547C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2212yes—
41C22×C4⋊Q8C2211yescharacteristic
42C2×C4×#41C2212yes—
43#2862C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2855C2212yes—
49#2855C2214yes—
50#2855C2212yes—
51#2811C2214yes—
52#2807C2214yes—
53#2806C2214yes—
54#2804C2214yes—
55#2799C2214yes—
56#2799C2214yes—
57#2792C2214yes—
58#2790C2214yes—
59#2774C2214yes—
60#2763C2214yes—
61#2763C2214yes—
62#2755C2214yes—
63#2755C2214yes—
64#2742C2214yes—
65#2732C2214yes—
66#2729C2214yes—
67#2729C2214yes—
68#2726C2214yes—
69#2720C2214yes—
70#2692C2214yes—
71#2692C2214yes—
72#2665C2214yes—
73#2665C2214yes—
74#2647C2212yes—
75#2628C2212yes—
76#2607C2214yes—
77#2607C2214yes—
78#2589C2214yes—
79#2589C2214yes—
80#2589C2214yes—
81#2588C2214yes—
82#2587C2214yes—
83#2586C2214yes—
84#2586C2214yes—
85#2585C2214yes—
86#2583C2214yes—
87#2582C2212yes—
88#2580C2212yes—
89#2574C2214yes—
90#2570C2212yes—
91#2568C2212yes—
92#2567C2211yescharacteristic
93#2567C2212yes—
94#2567C2214yes—
95#2567C2212yes—
96#2567C2212yes—
97#2567C2212yes—
98#2566C2214yes—
99#2565C2214yes—
100#2564C2214yes—
101#2564C2214yes—
102#2564C2214yes—
103#2563C2211yescharacteristic
104#2563C2212yes—
105#2556C2214yes—
106#2552C2212yes—
107#2551C2212yes—
108#2551C2211yescharacteristic
109#2551C2211yescharacteristic
110#2551C2212yes—
111#2550C2212yes—
112#2550C2212yes—
113#2549C2214yes—
114#2549C2214yes—
115#2546C2211yescharacteristic
116#2542C2211yescharacteristic
117#2542C2212yes—
118#2522C2212yes—
119#2520C2214yes—
120#2520C2212yes—
121#2520C2214yes—
122#2511C2214yes—
123#2511C2214yes—
124#2511C2214yes—
125#2511C2212yes—
126#2511C2211yescharacteristic
127#2509C2212yes—
128#2508C2212yes—
129#2508C2212yes—
130#2507C2211yescharacteristic
131#2507C2214yes—
132#2507C2212yes—
133#2507C2212yes—
134#2506C2212yes—
135#2506C2212yes—
136#2505C2212yes—
137#2505C2214yes—
138#2502C2214yes—
139#2502C2211yescharacteristic
140#2497C2212yes—
141#2497C2211yescharacteristic
142#2492C2212yes—
143#2492C2214yes—
144#2492C2212yes—
145#2492C2212yes—
146#2492C2212yes—
147#2492C2211yescharacteristic
148#2487C2211yescharacteristic
149#2487C2212yes—
150#2462C2214yes—
151#2462C2214yes—
152#2454C2212yes—
153#2453C2214yes—
154#2452C2212yes—
155#2452C2212yes—
156#2452C2212yes—
157#2451C2212yes—
158#2451C2212yes—
159#2451C2212yes—
160#2450C2212yes—
161#2450C2214yes—
162#2449C2214yes—
163#2449C2214yes—
164#2449C2214yes—
165#2446C2212yes—
166#2446C2212yes—
167#2446C2212yes—
168#2442C2212yes—
169#2442C2212yes—
170#2441C2214yes—
171#2441C2212yes—
172#2440C2212yes—
173#2440C2212yes—
174#2440C2212yes—
175#2440C2214yes—
176#2440C2212yes—
177#2440C2211yescharacteristic
178#2439C2212yes—
179#2438C2214yes—
180#2438C2214yes—
181#2438C2214yes—
182#2438C2214yes—
183#2429C2214yes—
184#2429C2212yes—
185#2429C2212yes—
186#2423C2214yes—
187#2423C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2417C2211yescharacteristic
191#2417C2212yes—
192#2417C2212yes—
193#2409C2214yes—
194#2409C2212yes—
195#2402C2212yes—
196#2396C2214yes—
197#2396C2214yes—
198#2396C2212yes—
199#2374C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2211yescharacteristic
204#2369C2212yes—
205#2369C2211yescharacteristic
206#2369C2212yes—
207#2369C2212yes—
208#2369C2211yescharacteristic
209#2369C2212yes—
210#2369C2212yes—
211#2369C2214yes—
212#2369C2211yescharacteristic
213#2369C2212yes—
214#2369C2211yescharacteristic
215#2369C2212yes—
216#2368C2214yes—
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2211yescharacteristic
221#2363C2212yes—
222#2362C2212yes—
223#2361C2212yes—
224#2361C2211yescharacteristic
225#2361C2211yescharacteristic
226#2360C2212yes—
227#2360C2212yes—
228#2360C2214yes—
229#2360C2212yes—
230#2360C2212yes—
231#2359C2212yes—
232#2359C2212yes—
233#2359C2214yes—
234#2357C2212yes—
235#2355C2214yes—
236#2355C2212yes—
237#2355C2212yes—
238#2354C2211yescharacteristic
239#2352C2212yes—
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2214yes—
246D4×C4⋊C4C2211yescharacteristic
247#2345C2212yes—
248#2345C2212yes—
249#2344C2212yes—
250#2344C2211yescharacteristic
251#2344C2211yescharacteristic
252Q8×C22⋊C4C2212yes—
253#2339C2212yes—
254#2339C2214yes—
255#2335C2214yes—
256#2332C2214yes—
257#2331C2212yes—
258#2330C2212yes—
259#2329C2214yes—
260#2329C2214yes—
261#2324C2212yes—
262#2317C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#123C2214yes—
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281#2297C2214yes—
282#2295C2211yescharacteristic
283C2×#391C2214yes—
284C2×#389C2212yes—
285C2×#389C2212yes—
286C2×#389C2212yes—
287#2290C2212yes—
288#2285C2214yes—
289#2285C2211yescharacteristic
290#2275C2212yes—
291#2274C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#554—28no—
302#554—48no—
303#547Q8116yescomplemented
304#533—28no—
305#533—48no—
306C2×C4⋊Q8—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C4×#41—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396C22×C42C2314yes—
397C22×C42C2312yes—
398C22×C42C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
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#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2314yes—
689#384C2314yes—
690#384C2314yes—
691#384C2312yes—
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#382C2314yes—
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2314yes—
729#380C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C2×#41—44no—
818C2×#41—44no—
819C2×#41C2×Q8116yes—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8—82no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—84no—
866C4⋊Q8C2×Q818yescomplemented
867C4⋊Q8#4118yescomplemented
868#125—28no—
869#125—28no—
870#125—48no—
871#125—48no—
872#123C2×Q8116yes—
873#123C2×Q8116yescomplemented
874C22⋊Q8—28no—
875C22⋊Q8—216no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889C22⋊Q8—82no—
890C22⋊Q8—84no—
891C22⋊Q8C2×Q8116yescomplemented
892#121C2×Q818yes—
893#121C2×Q818yescomplemented
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—48no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—82no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4C2×Q818yes—
919C4×D4C2×Q818yescomplemented
920#117—28no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—48no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—84no—
935C2×C4⋊C4—84no—
936C2×C4⋊C4C2×Q818yes—
937C2×C4⋊C4C2×Q818yescomplemented
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C42—28no—
1055C2×C42—24no—
1056C2×C42—24no—
1057C2×C42—44no—
1058C2×C42—44no—
1059C2×C42—44no—
1060C2×C42—48no—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2414yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180#41—432no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—28no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—816no—
1207C2×Q8C22×Q818yes—
1208C2×Q8C2×#4118yes—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4C22×Q814yes—
1218C2×D4C22×Q814yes—
1219C2×D4C22×Q818yes—
1220C2×D4C22×Q818yes—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—28no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4C22×Q814yes—
1270C22×C4C22×Q818yes—
1271C22×C4C22×Q814yes—
1272C22×C4C22×Q818yes—
1273C22×C4C22×Q818yes—
1274C22×C4H(5,𝔽2)14yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—41no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4C22×Q814yes—
1382C4⋊C4C22×Q814yes—
1383C4⋊C4C22×Q818yes—
1384C4⋊C4C22×Q814yes—
1385C4⋊C4C22×Q818yes—
1386C4⋊C4C22×Q814yes—
1387C4⋊C4C22×Q818yes—
1388C4⋊C4C2×#4118yes—
1389C4⋊C4C2×#4118yes—
1390C4⋊C42−1+414yes—
1391C22⋊C4—22no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—22no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—41no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4C22×Q814yes—
1419C22⋊C4C22×Q814yes—
1420C22⋊C4C22×Q818yes—
1421C22⋊C4C22×Q818yes—
1422C22⋊C4C22×Q818yes—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—28no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—41no—
1456C42—44no—
1457C42—41no—
1458C42—44no—
1459C42C22×Q814yes—
1460C42C2×#4114yes—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23C23×Q814yes—
1478C23C23×Q812yes—
1479C23C23×Q812yes—
1480C23C2×H(5,𝔽2)12yes—
1481C23#58512yes—
1482C23C2611yescharacteristic
1483Q8—48no—
1484Q8—48no—
1485Q8—44no—
1486Q8—48no—
1487Q8—84no—
1488Q8—84no—
1489Q8—88no—
1490Q8—88no—
1491Q8—164no—
1492D4—216no—
1493D4—28no—
1494D4—28no—
1495D4—48no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—216no—
1519C2×C4—28no—
1520C2×C4—28no—
1521C2×C4—28no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—416no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—82no—
1587C2×C4—88no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—164no—
1593C2×C4C23×Q812yes—
1594C2×C4C23×Q812yes—
1595C2×C4C23×Q812yes—
1596C2×C4C23×Q812yes—
1597C2×C4C23×Q814yes—
1598C2×C4C23×Q814yes—
1599C2×C4C23×Q814yes—
1600C2×C4C23×Q812yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4118yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×2−1+414yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—24no—
1618C22—22no—
1619C22—24no—
1620C22—22no—
1621C22—24no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22#350114yes—
1631C22C24×Q811yescharacteristic
1632C22C23×#4111yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C22×2−1+411yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22H(7,𝔽2)11yescharacteristic
1638C4—22no—
1639C4—28no—
1640C4—22no—
1641C4—24no—
1642C4—24no—
1643C4—22no—
1644C4—24no—
1645C4—24no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—44no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4Q8×#4114yes—
1669C4#352214yes—
1670C2—24no—
1671C2—42no—
1672C2—44no—
1673C2C2×Q8×#4111yescharacteristic
1674C2C2×#350111yescharacteristic
1675C2C2×#352211yescharacteristic
1676C2#6293011yescharacteristic
1677C2#6299011yescharacteristic
1678C2Q8×2−1+411yescharacteristic
1679C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59924C2semidirect
2. #59918C2semidirect
3. #59629C2semidirect
4. #59454C2semidirect
5. #59274C2semidirect
6. #59136C2semidirect
7. #59113C2semidirect
8. #59052C2semidirect
9. #44953C2semidirect
10. #44946C2semidirect
11. #43572C2semidirect
12. #43563C2semidirect
13. #39665C2semidirect
14. #39657C2semidirect
15. #39643C2semidirect
16. #39608C2semidirect
17. #38444C2semidirect
18. #38098C2semidirect
19. #36564C2semidirect
20. #36561C2semidirect
21. #36553C2semidirect
22. #36476C2semidirect
23. #36275C2semidirect
24. #36193C2semidirect
25. #36133C2semidirect
26. #36129C2semidirect
27. #35871C2semidirect
28. #35783C2semidirect
29. #34947C2semidirect
30. #34772C2semidirect
31. #34332C2semidirect
33. #34213C2semidirect
35. C2×#2369C2semidirect
303. #547Q8semidirect
866. C4⋊Q8C2×Q8semidirect
867. C4⋊Q8#41semidirect
873. #123C2×Q8semidirect
891. C22⋊Q8C2×Q8semidirect
893. #121C2×Q8semidirect
919. C4×D4C2×Q8semidirect
937. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599242
#599182
#596292
#594542
#592742
#591362
#591132
#590522
#449532
#449462
#435722
#435632
#396652
#396572
#396432
#396082
#384442
#380982
#365642
#365612
#365532
#364762
#362752
#361932
#361332
#361292
#358712
#357832
#349472
#347722
#343322
#342982
#342132
C4×#5472
C2×#23692