Finite Group Databasebeta

← #7780079

Subgroups — #7780079

Order 512.

5190 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59127C211yesmaximal, characteristic, complemented
2#59127C211yesmaximal, characteristic, complemented
3#59127C212yesmaximal, complemented
4#59096C212yesmaximal, complemented
5#59052C211yesmaximal, characteristic, complemented
6#59036C211yesmaximal, characteristic, complemented
7#48859C214yesmaximal, complemented
8#48848C214yesmaximal, complemented
9#46847C214yesmaximal, complemented
10#46436C214yesmaximal, complemented
11#45503C212yesmaximal, complemented
12#45497C212yesmaximal, complemented
13#44940C212yesmaximal, complemented
14#44908C212yesmaximal, complemented
15#42499C212yesmaximal, complemented
16#42497C212yesmaximal, complemented
17#39672C212yesmaximal, complemented
18#39656C212yesmaximal, complemented
19#39641C211yesmaximal, characteristic, complemented
20#39625C212yesmaximal, complemented
21#39618C211yesmaximal, characteristic, complemented
22#39615C212yesmaximal, complemented
23#39596C212yesmaximal, complemented
24#39593C212yesmaximal, complemented
25#37312C212yesmaximal, complemented
26Q8×#127C211yesmaximal, characteristic, complemented
27#36556C211yesmaximal, characteristic, complemented
28#36476C211yesmaximal, characteristic, complemented
29#36276C211yesmaximal, characteristic, complemented
30#36134C211yesmaximal, characteristic, complemented
31D4×C4⋊Q8C211yesmaximal, characteristic, complemented
32#35281C211yesmaximal, characteristic, complemented
33#34916C211yesmaximal, characteristic, complemented
34#34431C212yesmaximal
35C4×#540C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2212yes—
41C2×D4×Q8C2211yescharacteristic
42C2×D4×Q8C2212yes—
43C2×D4×Q8C2212yes—
44C2×#540C2211yescharacteristic
45C2×#533C2212yes—
46C2×#533C2211yescharacteristic
47C22×C4⋊Q8C2212yes—
48C22×C4⋊Q8C2211yescharacteristic
49#2868C2211yescharacteristic
50#2868C2212yes—
51#2868C2211yescharacteristic
52#2864C2212yes—
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2857C2212yes—
56#2857C2212yes—
57#2857C2212yes—
58#2855C2212yes—
59#2841C2214yes—
60#2841C2214yes—
61#2807C2214yes—
62#2807C2214yes—
63#2792C2214yes—
64#2792C2214yes—
65#2792C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2791C2214yes—
69#2790C2214yes—
70#2784C2214yes—
71#2780C2214yes—
72#2780C2214yes—
73#2780C2214yes—
74#2768C2214yes—
75#2768C2214yes—
76#2748C2214yes—
77#2742C2214yes—
78#2742C2214yes—
79#2734C2214yes—
80#2734C2214yes—
81#2734C2214yes—
82#2732C2214yes—
83#2732C2214yes—
84#2729C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2729C2214yes—
88#2720C2214yes—
89#2720C2214yes—
90#2713C2214yes—
91#2704C2214yes—
92#2692C2214yes—
93#2692C2214yes—
94#2692C2214yes—
95#2692C2214yes—
96#2692C2214yes—
97#2677C2214yes—
98#2677C2214yes—
99#2677C2214yes—
100#2677C2214yes—
101#2667C2214yes—
102#2660C2212yes—
103#2660C2212yes—
104#2660C2212yes—
105#2659C2214yes—
106#2647C2212yes—
107#2628C2214yes—
108#2627C2214yes—
109#2607C2214yes—
110#2590C2212yes—
111#2589C2212yes—
112#2589C2214yes—
113#2588C2212yes—
114#2588C2214yes—
115#2587C2212yes—
116#2583C2214yes—
117#2580C2212yes—
118#2580C2214yes—
119#2579C2214yes—
120#2570C2212yes—
121#2567C2211yescharacteristic
122#2567C2214yes—
123#2567C2212yes—
124#2567C2212yes—
125#2566C2212yes—
126#2564C2214yes—
127#2564C2214yes—
128#2563C2212yes—
129#2563C2211yescharacteristic
130#2552C2212yes—
131#2552C2212yes—
132#2551C2212yes—
133#2551C2212yes—
134#2551C2212yes—
135#2551C2212yes—
136#2551C2214yes—
137#2550C2212yes—
138#2550C2212yes—
139#2550C2212yes—
140#2549C2214yes—
141#2549C2214yes—
142#2549C2214yes—
143#2546C2211yescharacteristic
144#2546C2211yescharacteristic
145#2546C2212yes—
146#2546C2212yes—
147#2546C2211yescharacteristic
148#2546C2212yes—
149#2546C2212yes—
150#2542C2212yes—
151#2542C2212yes—
152#2542C2211yescharacteristic
153#2542C2211yescharacteristic
154#2542C2214yes—
155#2542C2211yescharacteristic
156#2542C2212yes—
157#2542C2212yes—
158#2542C2212yes—
159#2542C2214yes—
160#2538C2212yes—
161#2538C2212yes—
162#2522C2214yes—
163#2520C2214yes—
164#2511C2211yescharacteristic
165#2511C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2211yescharacteristic
171#2507C2214yes—
172#2502C2212yes—
173#2502C2212yes—
174#2502C2212yes—
175#2497C2211yescharacteristic
176#2492C2211yescharacteristic
177#2492C2212yes—
178#2465C2214yes—
179#2465C2214yes—
180#2454C2212yes—
181#2454C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2452C2214yes—
185#2451C2211yescharacteristic
186#2451C2214yes—
187#2450C2214yes—
188#2449C2214yes—
189#2449C2214yes—
190#2449C2214yes—
191#2449C2214yes—
192#2446C2211yescharacteristic
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2441C2214yes—
197#2441C2212yes—
198#2440C2214yes—
199#2440C2214yes—
200#2440C2214yes—
201#2440C2212yes—
202#2440C2212yes—
203#2439C2212yes—
204#2438C2214yes—
205#2434C2212yes—
206#2434C2212yes—
207#2434C2212yes—
208#2434C2212yes—
209#2434C2212yes—
210#2434C2212yes—
211#2434C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2211yescharacteristic
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2423C2214yes—
219#2423C2211yescharacteristic
220#2423C2212yes—
221#2423C2212yes—
222#2423C2214yes—
223#2417C2212yes—
224#2417C2212yes—
225#2417C2212yes—
226#2409C2212yes—
227#2409C2212yes—
228#2409C2212yes—
229#2409C2212yes—
230#2409C2212yes—
231#2402C2212yes—
232#2396C2212yes—
233#2377C2214yes—
234#2376C2214yes—
235#2369C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2211yescharacteristic
239#2365C2212yes—
240#2363C2212yes—
241#2363C2212yes—
242#2361C2212yes—
243#2361C2212yes—
244#2361C2214yes—
245#2360C2212yes—
246#2359C2214yes—
247#2357C2212yes—
248#2355C2212yes—
249#2355C2212yes—
250#2354C2212yes—
251Q8×C4⋊C4C2212yes—
252#2349C2212yes—
253#2349C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257#2335C2212yes—
258#2335C2212yes—
259#2335C2214yes—
260#2333C2212yes—
261#2333C2212yes—
262#2330C2211yescharacteristic
263#2330C2212yes—
264#2328C2211yescharacteristic
265#2328C2212yes—
266#2325C2214yes—
267#2324C2211yescharacteristic
268#2324C2211yescharacteristic
269#2324C2214yes—
270#2322C2214yes—
271#2319C2211yescharacteristic
272#2319C2211yescharacteristic
273#2317C2212yes—
274#2317C2212yes—
275#2314C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291#2298C2212yes—
292#2295C2211yescharacteristic
293#2295C2212yes—
294C2×#391C2212yes—
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302C23×Q8C2312yes—
303#554—44no—
304D4×Q8—44no—
305D4×Q8—44no—
306D4×Q8—44no—
307D4×Q8—48no—
308D4×Q8—48no—
309D4×Q8—48no—
310D4×Q8—48no—
311#540Q8116yescomplemented
312#533—44no—
313#533—48no—
314C2×C4⋊Q8—44no—
315C2×C4⋊Q8—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2314yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2312yes—
329C2×C4⋊Q8C2314yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2314yes—
341C2×#127C2311yescharacteristic
342C2×#125C2312yes—
343C2×#125C2312yes—
344C2×#125C2314yes—
345C2×#125C2311yescharacteristic
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2314yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2312yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2314yes—
545#391C2314yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2312yes—
608#389C2314yes—
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2314yes—
613#389C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2314yes—
728#384C2312yes—
729#384C2312yes—
730#384C2314yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2314yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#381C2312yes—
745#381C2312yes—
746#381C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815#376C2311yescharacteristic
816#376C2312yes—
817#376C2311yescharacteristic
818C2×#95C2314yes—
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C43C2312yes—
822C43C2311yescharacteristic
823C22×Q8—28no—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×Q8C2414yes—
844C22×Q8C2414yes—
845C22×Q8C2414yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C4⋊Q8—24no—
867C4⋊Q8—28no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—48no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—48no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—48no—
888C4⋊Q8—48no—
889C4⋊Q8—48no—
890C4⋊Q8—48no—
891#127C2×Q818yescomplemented
892#125—44no—
893#125—44no—
894#125—48no—
895#125C2×Q818yescomplemented
896#123C2×Q8116yescomplemented
897#123C2×Q8116yescomplemented
898C22⋊Q8—24no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925#121C2×Q8116yescomplemented
926#121C2×Q8116yescomplemented
927#121C2×Q818yescomplemented
928#121C2×Q818yescomplemented
929C4×Q8—24no—
930C4×Q8—28no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—28no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—48no—
939C4×Q8—44no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4C2×Q818yescomplemented
957C4×D4C2×Q818yescomplemented
958#117—24no—
959#117—48no—
960#117—44no—
961#117C2×Q818yescomplemented
962C2×C4⋊C4—48no—
963C2×C4⋊C4—48no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C42—24no—
1093C2×C42—44no—
1094C2×C42—44no—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204C24C2512yes—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—28no—
1222C2×Q8—28no—
1223C2×Q8—24no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×Q8—44no—
1232C2×Q8—44no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—816no—
1238C2×Q8—816no—
1239C2×Q8—816no—
1240C2×Q8—816no—
1241C2×Q8H(5,𝔽2)14yes—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4C22×Q814yes—
1255C2×D4C22×Q814yes—
1256C2×D4C22×Q818yes—
1257C2×D4C22×Q818yes—
1258C2×D4C22×Q818yes—
1259C2×D4C22×Q818yes—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—24no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4C22×Q814yes—
1300C22×C4C22×Q818yes—
1301C22×C4C22×Q818yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4C22×Q814yes—
1414C4⋊C4C22×Q814yes—
1415C4⋊C4C22×Q814yes—
1416C4⋊C4C22×Q814yes—
1417C4⋊C4C22×Q818yes—
1418C4⋊C4C22×Q818yes—
1419C4⋊C4H(5,𝔽2)14yes—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4C22×Q814yes—
1454C22⋊C4C22×Q814yes—
1455C22⋊C4C22×Q818yes—
1456C22⋊C4C22×Q818yes—
1457C22⋊C4C22×Q818yes—
1458C22⋊C4C22×Q818yes—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—28no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—44no—
1482C42—41no—
1483C42—41no—
1484C42—42no—
1485C42—41no—
1486C42—41no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42C22×Q814yes—
1491C42C22×Q814yes—
1492C42H(5,𝔽2)14yes—
1493C422−1+414yes—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23C23×Q814yes—
1513C23C23×Q814yes—
1514C23C23×Q812yes—
1515C23C2611yescharacteristic
1516Q8—28no—
1517Q8—48no—
1518Q8—48no—
1519Q8—44no—
1520Q8—48no—
1521Q8—48no—
1522Q8—84no—
1523Q8—88no—
1524Q8—88no—
1525Q8—88no—
1526Q8—88no—
1527D4—28no—
1528D4—28no—
1529D4—48no—
1530D4—48no—
1531D4—48no—
1532D4—48no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—28no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—48no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—84no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—164no—
1625C2×C4C23×Q812yes—
1626C2×C4C23×Q812yes—
1627C2×C4C23×Q812yes—
1628C2×C4C23×Q812yes—
1629C2×C4C23×Q812yes—
1630C2×C4C23×Q814yes—
1631C2×C4C23×Q814yes—
1632C2×C4C23×Q812yes—
1633C2×C4C2×H(5,𝔽2)14yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)14yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4C2×2−1+412yes—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—22no—
1647C22—22no—
1648C22—24no—
1649C22—22no—
1650C22—24no—
1651C22—24no—
1652C22—42no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22C24×Q811yescharacteristic
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×2−1+411yescharacteristic
1669C222−1+611yescharacteristic
1670C222−1+611yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—24no—
1674C4—24no—
1675C4—22no—
1676C4—22no—
1677C4—24no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—24no—
1683C4—42no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—44no—
1688C4—44no—
1689C4—44no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—44no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4#350314yes—
1702C4#354314yes—
1703C2—44no—
1704C2—44no—
1705C2—42no—
1706C2C2×#354311yescharacteristic
1707C2C2×#350311yescharacteristic
1708C2#6288711yescharacteristic
1709C2#6291311yescharacteristic
1710C2#6291511yescharacteristic
1711C2Q8×H(5,𝔽2)11yescharacteristic
1712C2Q8×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#540C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59127C2semidirect
2. #59127C2semidirect
3. #59127C2semidirect
4. #59096C2semidirect
5. #59052C2semidirect
6. #59036C2semidirect
7. #48859C2semidirect
8. #48848C2semidirect
9. #46847C2semidirect
10. #46436C2semidirect
11. #45503C2semidirect
12. #45497C2semidirect
13. #44940C2semidirect
14. #44908C2semidirect
15. #42499C2semidirect
16. #42497C2semidirect
17. #39672C2semidirect
18. #39656C2semidirect
19. #39641C2semidirect
20. #39625C2semidirect
21. #39618C2semidirect
22. #39615C2semidirect
23. #39596C2semidirect
24. #39593C2semidirect
25. #37312C2semidirect
26. Q8×#127C2semidirect
27. #36556C2semidirect
28. #36476C2semidirect
29. #36276C2semidirect
30. #36134C2semidirect
31. D4×C4⋊Q8C2semidirect
32. #35281C2semidirect
33. #34916C2semidirect
311. #540Q8semidirect
891. #127C2×Q8semidirect
895. #125C2×Q8semidirect
896. #123C2×Q8semidirect
897. #123C2×Q8semidirect
925. #121C2×Q8semidirect
926. #121C2×Q8semidirect
927. #121C2×Q8semidirect
928. #121C2×Q8semidirect
956. C4×D4C2×Q8semidirect
957. C4×D4C2×Q8semidirect
961. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#591272
#590962
#590522
#590362
#488592
#488482
#468472
#464362
#455032
#454972
#449402
#449082
#424992
#424972
#396722
#396562
#396412
#396252
#396182
#396152
#395962
#395932
#373122
Q8×#1272
#365562
#364762
#362762
#361342
D4×C4⋊Q82
#352812
#349162
#344312
C4×#5402