Finite Group Databasebeta

← #7672741

Subgroups — #7672741

Order 512.

5496 conjugacy classes of subgroups.

The subgroup lattice has 1787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59913C214yesmaximal, complemented
2#59912C214yesmaximal, complemented
3#59320C214yesmaximal, complemented
4#59150C214yesmaximal, complemented
5#39691C212yesmaximal, complemented
6#39690C212yesmaximal, complemented
7#39689C212yesmaximal, complemented
8#39688C212yesmaximal, complemented
9#38105C212yesmaximal, complemented
10#38104C212yesmaximal, complemented
11#38099C212yesmaximal, complemented
12#38098C212yesmaximal, complemented
13C2×#2857C211yesmaximal, characteristic, complemented
14#36571C212yesmaximal, complemented
15#36570C212yesmaximal, complemented
16#36564C212yesmaximal, complemented
17#36561C212yesmaximal, complemented
18#36407C212yesmaximal, complemented
19#36387C212yesmaximal, complemented
20#36363C212yesmaximal, complemented
21#36261C212yesmaximal, complemented
22#35576C211yesmaximal, characteristic, complemented
23#35574C211yesmaximal, characteristic, complemented
24#35555C211yesmaximal, characteristic, complemented
25#35532C211yesmaximal, characteristic, complemented
26#35265C211yesmaximal, characteristic, complemented
27#35257C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34202C211yesmaximal, characteristic
33#34202C211yesmaximal, characteristic
34C4×#525C211yesmaximal, characteristic
35C2×#2296C211yesmaximal, characteristic, complemented
36C2×#554C2214yes—
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2212yes—
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×#117C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C23×C42C2211yescharacteristic
48#2864C2212yescomplemented
49#2859C2212yescomplemented
50#2857C2212yes—
51#2857C2212yes—
52#2857C2212yes—
53#2857C2212yes—
54#2857C2212yes—
55#2857C2212yes—
56#2857C2212yes—
57#2857C2212yes—
58#2857C2212yes—
59#2857C2212yes—
60#2857C2212yescomplemented
61#2851C2212yes—
62#2851C2212yes—
63#2851C2212yescomplemented
64#2807C2214yescomplemented
65#2806C2214yescomplemented
66#2802C2214yescomplemented
67#2792C2214yescomplemented
68#2788C2214yes—
69#2788C2214yescomplemented
70#2784C2214yes—
71#2780C2214yes—
72#2774C2214yescomplemented
73#2768C2214yes—
74#2732C2214yes—
75#2729C2214yes—
76#2729C2214yescomplemented
77#2720C2214yes—
78#2704C2214yescomplemented
79#2692C2214yes—
80#2647C2212yescomplemented
81#2647C2212yescomplemented
82#2629C2212yes—
83#2629C2212yes—
84#2629C2212yescomplemented
85#2628C2212yes—
86#2628C2212yes—
87#2628C2212yescomplemented
88#2590C2214yescomplemented
89#2589C2214yescomplemented
90#2588C2214yescomplemented
91#2588C2214yescomplemented
92#2587C2214yescomplemented
93#2587C2214yescomplemented
94#2586C2214yescomplemented
95#2586C2214yescomplemented
96#2585C2214yescomplemented
97#2584C2214yescomplemented
98#2583C2214yes—
99#2583C2214yes—
100#2583C2214yescomplemented
101#2579C2214yes—
102#2579C2214yes—
103#2574C2214yes—
104#2574C2214yescomplemented
105#2570C2212yescomplemented
106#2570C2212yescomplemented
107#2567C2212yescomplemented
108#2566C2212yescomplemented
109#2565C2212yescomplemented
110#2564C2214yes—
111#2564C2214yes—
112#2556C2214yes—
113#2556C2214yescomplemented
114#2556C2214yescomplemented
115#2552C2212yescomplemented
116#2552C2212yescomplemented
117#2551C2212yescomplemented
118#2551C2212yescomplemented
119#2551C2212yescomplemented
120#2551C2212yescomplemented
121#2550C2214yescomplemented
122#2550C2212yescomplemented
123#2550C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2212yescomplemented
126#2549C2214yes—
127#2549C2214yes—
128#2549C2214yescomplemented
129#2542C2212yescomplemented
130#2522C2214yes—
131#2522C2214yescomplemented
132#2520C2214yescomplemented
133#2509C2212yescomplemented
134#2508C2212yescomplemented
135#2507C2212yescomplemented
136#2507C2214yescomplemented
137#2507C2212yescomplemented
138#2507C2212yescomplemented
139#2506C2212yescomplemented
140#2506C2212yescomplemented
141#2506C2212yescomplemented
142#2505C2214yes—
143#2505C2214yes—
144#2492C2214yescomplemented
145#2473C2214yes—
146#2473C2214yes—
147#2473C2214yes—
148#2473C2214yes—
149#2465C2214yes—
150#2454C2214yes—
151#2454C2212yescomplemented
152#2453C2212yescomplemented
153#2452C2214yes—
154#2452C2212yescomplemented
155#2452C2212yescomplemented
156#2452C2212yescomplemented
157#2451C2212yescomplemented
158#2451C2212yescomplemented
159#2451C2212yescomplemented
160#2450C2214yes—
161#2450C2214yes—
162#2450C2214yes—
163#2449C2214yes—
164#2449C2214yes—
165#2449C2214yes—
166#2449C2214yes—
167#2449C2214yes—
168#2442C2212yes—
169#2442C2212yes—
170#2441C2212yes—
171#2441C2212yes—
172#2441C2212yescomplemented
173#2441C2212yescomplemented
174#2440C2214yes—
175#2440C2212yes—
176#2440C2212yes—
177#2440C2212yescomplemented
178#2440C2212yescomplemented
179#2440C2212yescomplemented
180#2440C2212yescomplemented
181#2439C2212yes—
182#2439C2212yes—
183#2439C2212yescomplemented
184#2439C2212yescomplemented
185#2438C2214yes—
186#2438C2214yes—
187#2437C2214yes—
188#2437C2214yes—
189#2434C2214yes—
190#2417C2214yes—
191#2409C2214yes—
192#2370C2212yescomplemented
193#2370C2212yescomplemented
194#2370C2214yescomplemented
195#2369C2214yescomplemented
196#2369C2212yescomplemented
197#2368C2214yes—
198#2368C2214yes—
199#2368C2214yescomplemented
200#2365C2212yescomplemented
201#2360C2214yes—
202#2360C2214yescomplemented
203#2359C2214yes—
204#2359C2214yes—
205#2358C2214yes—
206#2358C2214yes—
207#2354C2212yes—
208#2354C2212yes—
209#2352C2212yes—
210#2352C2212yes—
211#2352C2212yes—
212#2352C2212yes—
213#2351C2212yescomplemented
214Q8×C4⋊C4C2212yescomplemented
215#2349C2214yes—
216#2349C2214yes—
217#2349C2212yescomplemented
218D4×C4⋊C4C2214yes—
219D4×C4⋊C4C2212yes—
220D4×C4⋊C4C2212yes—
221D4×C4⋊C4C2212yescomplemented
222#2345C2214yes—
223#2331C2212yescomplemented
224#2330C2212yescomplemented
225#2324C2212yes—
226#2324C2212yes—
227#2323C2212yes—
228#2323C2212yes—
229#2317C2211yescharacteristic
230#2317C2211yescharacteristic
231#2317C2211yescharacteristic
232#2317C2211yescharacteristic
233#2317C2211yescharacteristic
234#2317C2211yescharacteristic
235#2317C2212yescomplemented
236#2316C2211yescharacteristic
237#2316C2211yescharacteristic
238#2316C2212yescomplemented
239#2311C2211yescharacteristic
240#2311C2211yescharacteristic
241C4×C4⋊Q8C2212yescomplemented
242C4×#125C2212yescomplemented
243C4×C22⋊Q8C2211yescharacteristic
244C4×C22⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2211yescharacteristic
248C4×C22⋊Q8C2211yescharacteristic
249C4×#123C2212yes—
250C4×#123C2212yes—
251C4×#121C2211yescharacteristic
252C4×#121C2211yescharacteristic
253C4×#121C2212yes—
254C4×#121C2212yes—
255C4×#121C2211yescharacteristic
256C4×#121C2211yescharacteristic
257C4×#120C2212yes—
258C4×#120C2212yes—
259#2297C2211yescharacteristic
260#2296C2212yes—
261#2296C2212yes—
262#2296C2212yes—
263#2296C2212yes—
264#2296C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268#2296C2211yescharacteristic
269#2296C2211yescharacteristic
270#2296C2211yescharacteristic
271#2296C2211yescharacteristic
272#2296C2211yescharacteristic
273#2296C2212yescomplemented
274C2×#391C2212yes—
275C2×#389C2212yes—
276C2×#389C2211yescharacteristic
277C2×#389C2211yescharacteristic
278C2×#389C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281C2×#389C2211yescharacteristic
282C2×#389C2212yescomplemented
283#2290C2212yes—
284#2290C2212yes—
285C2×#385C2212yes—
286C2×#385C2212yes—
287C2×#384C2211yescharacteristic
288#2280C2211yescharacteristic
289C2×#380C2211yescharacteristic
290C2×#380C2211yescharacteristic
291C2×#380C2212yes—
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304#554—416no—
305#544—28no—
306#544—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325#525Q8116yescomplemented
326C2×#123C2312yes—
327C2×C22⋊Q8—48no—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#120C2312yes—
346#520—28no—
347#520—44no—
348C4×#41—44no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×#117—28no—
371C2×#117—44no—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C42—44no—
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#387C2314yes—
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#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#381C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#379C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41C2×Q818yes—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C22×Q8C2414yes—
833C22×Q8C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—42no—
843C23×C4—42no—
844C23×C4—42no—
845C23×C4—42no—
846C23×C4C2×Q818yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C4⋊Q8—28no—
879C4⋊Q8—28no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—48no—
887C4⋊Q8—48no—
888#125—28no—
889#125—28no—
890#125—44no—
891#125—44no—
892#125—48no—
893#125—48no—
894#125—48no—
895#123C2×Q8116yes—
896C22⋊Q8—216no—
897C22⋊Q8—216no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8C2×Q818yescomplemented
910C22⋊Q8C2×Q818yescomplemented
911#121C2×Q818yescomplemented
912#121C2×Q818yescomplemented
913#120C2×Q8116yes—
914C4×Q8—28no—
915C4×Q8—48no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—28no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—48no—
933C4×D4C2×Q8116yescomplemented
934C4×D4C2×Q8116yescomplemented
935#117—24no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—42no—
949#117—42no—
950#117—44no—
951#117C2×Q818yes—
952#117#4118yes—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—28no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—42no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—48no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C22⋊C4—28no—
1058C2×C22⋊C4—44no—
1059C2×C22⋊C4—44no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—28no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42—42no—
1102C2×C42—42no—
1103C2×C42—42no—
1104C2×C42—42no—
1105C2×C42—42no—
1106C2×C42—42no—
1107C2×C42—42no—
1108C2×C42—42no—
1109C2×C42—42no—
1110C2×C42—42no—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—41no—
1219C24—41no—
1220C24C22×Q814yes—
1221C24C2511yescharacteristic
1222C24C2512yes—
1223C24C2511yescharacteristic
1224C24C2511yescharacteristic
1225#41—232no—
1226C2×Q8—22no—
1227C2×Q8—28no—
1228C2×Q8—22no—
1229C2×Q8—28no—
1230C2×Q8—28no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—816no—
1241C2×Q8C22×Q814yes—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4C22×Q818yes—
1251C2×D4C22×Q818yes—
1252C2×D4C22×Q814yes—
1253C2×D4C22×Q818yes—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—232no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—416no—
1338C22×C4—416no—
1339C22×C4C22×Q814yes—
1340C22×C4C22×Q814yes—
1341C22×C4C22×Q818yes—
1342C22×C4C22×Q814yes—
1343C22×C4C22×Q814yes—
1344C22×C4C22×Q814yes—
1345C22×C4C22×Q814yes—
1346C22×C4C2×#4114yes—
1347C22×C4H(5,𝔽2)14yes—
1348C22×C4H(5,𝔽2)14yes—
1349C22×C42−1+414yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—28no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4C22×Q814yes—
1460C4⋊C4C22×Q814yes—
1461C4⋊C4C22×Q818yes—
1462C4⋊C4C22×Q818yes—
1463C4⋊C4C2×#4114yes—
1464C4⋊C4C2×#4114yes—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4C22×Q818yes—
1495C22⋊C4C22×Q818yes—
1496C22⋊C4C22×Q818yes—
1497C22⋊C4C22×Q818yes—
1498C22⋊C4C22×Q818yes—
1499C22⋊C4C2×#4118yes—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—28no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—41no—
1519C42—41no—
1520C42—41no—
1521C42—41no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—41no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—44no—
1531C42—42no—
1532C42—42no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42C22×Q818yes—
1538C42C2×#4118yes—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—22no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—21no—
1559C23—28no—
1560C23—28no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23C23×Q812yes—
1567C23C23×Q814yes—
1568C23C23×Q812yes—
1569C23C23×Q812yes—
1570C23C22×#4112yes—
1571C23C2×H(5,𝔽2)12yes—
1572C23C2×H(5,𝔽2)12yes—
1573C23C2×2−1+412yes—
1574C23C2611yescharacteristic
1575Q8—28no—
1576Q8—88no—
1577Q8—88no—
1578Q8—88no—
1579Q8—164no—
1580D4—216no—
1581D4—216no—
1582D4—28no—
1583D4—48no—
1584C2×C4—28no—
1585C2×C4—28no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—28no—
1613C2×C4—28no—
1614C2×C4—28no—
1615C2×C4—28no—
1616C2×C4—28no—
1617C2×C4—216no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—88no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—164no—
1688C2×C4#554116yescomplemented
1689C2×C4C23×Q814yes—
1690C2×C4C23×Q814yes—
1691C2×C4C23×Q812yes—
1692C2×C4C23×Q812yes—
1693C2×C4C23×Q814yes—
1694C2×C4C23×Q812yes—
1695C2×C4C23×Q812yes—
1696C2×C4C22×#4114yes—
1697C2×C4C22×#4114yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×2−1+412yes—
1705C2×C4C2×2−1+412yes—
1706C2×C4#58512yes—
1707C2×C4#58512yes—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—24no—
1721C22—22no—
1722C22—22no—
1723C22—24no—
1724C22—22no—
1725C22—24no—
1726C22—416no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—41no—
1731C22—41no—
1732C22—42no—
1733C22—41no—
1734C22—42no—
1735C22C2×#55414yes—
1736C22#350314yes—
1737C22C24×Q811yescharacteristic
1738C22C23×#4111yescharacteristic
1739C22C22×H(5,𝔽2)11yescharacteristic
1740C22C22×H(5,𝔽2)11yescharacteristic
1741C22C22×2−1+411yescharacteristic
1742C22C2×#58511yescharacteristic
1743C22C2×#58511yescharacteristic
1744C4—24no—
1745C4—24no—
1746C4—24no—
1747C4—24no—
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—22no—
1755C4—22no—
1756C4—24no—
1757C4—42no—
1758C4—44no—
1759C4—44no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—42no—
1765C4—44no—
1766C4—44no—
1767C4—42no—
1768C4—42no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4C2×#55414yes—
1774C4C2×#55414yes—
1775C2—24no—
1776C2—24no—
1777C2—44no—
1778C2—42no—
1779C2C22×#55411yescharacteristic
1780C2C2×#350311yescharacteristic
1781C2#6280011yescharacteristic
1782C2#6280511yescharacteristic
1783C2#6281311yescharacteristic
1784C2#6281811yescharacteristic
1785C2#6281911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59913C2semidirect
2. #59912C2semidirect
3. #59320C2semidirect
4. #59150C2semidirect
5. #39691C2semidirect
6. #39690C2semidirect
7. #39689C2semidirect
8. #39688C2semidirect
9. #38105C2semidirect
10. #38104C2semidirect
11. #38099C2semidirect
12. #38098C2semidirect
13. C2×#2857C2semidirect
14. #36571C2semidirect
15. #36570C2semidirect
16. #36564C2semidirect
17. #36561C2semidirect
18. #36407C2semidirect
19. #36387C2semidirect
20. #36363C2semidirect
21. #36261C2semidirect
22. #35576C2semidirect
23. #35574C2semidirect
24. #35555C2semidirect
25. #35532C2semidirect
26. #35265C2semidirect
27. #35257C2semidirect
28. #35253C2semidirect
29. #35253C2semidirect
30. #34272C2semidirect
31. #34250C2semidirect
35. C2×#2296C2semidirect
48. #2864C22semidirect
49. #2859C22semidirect
60. #2857C22semidirect
63. #2851C22semidirect
64. #2807C22semidirect
65. #2806C22semidirect
66. #2802C22semidirect
67. #2792C22semidirect
69. #2788C22semidirect
72. #2774C22semidirect
76. #2729C22semidirect
78. #2704C22semidirect
80. #2647C22semidirect
81. #2647C22semidirect
84. #2629C22semidirect
87. #2628C22semidirect
88. #2590C22semidirect
89. #2589C22semidirect
90. #2588C22semidirect
91. #2588C22semidirect
92. #2587C22semidirect
93. #2587C22semidirect
94. #2586C22semidirect
95. #2586C22semidirect
96. #2585C22semidirect
97. #2584C22semidirect
100. #2583C22semidirect
104. #2574C22semidirect
105. #2570C22semidirect
106. #2570C22semidirect
107. #2567C22semidirect
108. #2566C22semidirect
109. #2565C22semidirect
113. #2556C22semidirect
114. #2556C22semidirect
115. #2552C22semidirect
116. #2552C22semidirect
117. #2551C22semidirect
118. #2551C22semidirect
119. #2551C22semidirect
120. #2551C22semidirect
121. #2550C22semidirect
122. #2550C22semidirect
123. #2550C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
128. #2549C22semidirect
129. #2542C22semidirect
131. #2522C22semidirect
132. #2520C22semidirect
133. #2509C22semidirect
134. #2508C22semidirect
135. #2507C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
140. #2506C22semidirect
141. #2506C22semidirect
144. #2492C22semidirect
151. #2454C22semidirect
152. #2453C22semidirect
154. #2452C22semidirect
155. #2452C22semidirect
156. #2452C22semidirect
157. #2451C22semidirect
158. #2451C22semidirect
159. #2451C22semidirect
172. #2441C22semidirect
173. #2441C22semidirect
177. #2440C22semidirect
178. #2440C22semidirect
179. #2440C22semidirect
180. #2440C22semidirect
183. #2439C22semidirect
184. #2439C22semidirect
192. #2370C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2369C22semidirect
196. #2369C22semidirect
199. #2368C22semidirect
200. #2365C22semidirect
202. #2360C22semidirect
213. #2351C22semidirect
214. Q8×C4⋊C4C22semidirect
217. #2349C22semidirect
221. D4×C4⋊C4C22semidirect
223. #2331C22semidirect
224. #2330C22semidirect
235. #2317C22semidirect
238. #2316C22semidirect
241. C4×C4⋊Q8C22semidirect
242. C4×#125C22semidirect
273. #2296C22semidirect
282. C2×#389C22semidirect
325. #525Q8semidirect
909. C22⋊Q8C2×Q8semidirect
910. C22⋊Q8C2×Q8semidirect
911. #121C2×Q8semidirect
912. #121C2×Q8semidirect
933. C4×D4C2×Q8semidirect
934. C4×D4C2×Q8semidirect
1688. C2×C4#554semidirect

Maximal subgroups

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

subgroupindex
#599132
#599122
#593202
#591502
#396912
#396902
#396892
#396882
#381052
#381042
#380992
#380982
C2×#28572
#365712
#365702
#365642
#365612
#364072
#363872
#363632
#362612
#355762
#355742
#355552
#355322
#352652
#352572
#352532
#342722
#342502
#342022
C4×#5252
C2×#22962