Finite Group Databasebeta

← #7671092

Subgroups — #7671092

Order 512.

5038 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59740C214yesmaximal, complemented
2#59713C212yesmaximal, complemented
3#59646C211yesmaximal, characteristic, complemented
4#59500C212yesmaximal, complemented
5#59466C211yesmaximal, characteristic, complemented
6#59464C211yesmaximal, characteristic, complemented
7#59434C211yesmaximal, characteristic, complemented
8#59082C212yesmaximal, complemented
9#59068C212yesmaximal, complemented
10#40350C214yesmaximal, complemented
11#40331C214yesmaximal, complemented
12#39937C212yesmaximal, complemented
13#39930C212yesmaximal, complemented
14#39891C212yesmaximal, complemented
15#39882C212yesmaximal, complemented
16#36631C211yesmaximal, characteristic, complemented
17#36538C212yesmaximal, complemented
18#36503C212yesmaximal, complemented
19#36481C211yesmaximal, characteristic, complemented
20#36469C211yesmaximal, characteristic, complemented
21#36466C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36416C211yesmaximal, characteristic, complemented
24#36395C212yesmaximal, complemented
25#36391C212yesmaximal, complemented
26#36315C211yesmaximal, characteristic, complemented
27#36273C211yesmaximal, characteristic
28#36271C211yesmaximal, characteristic, complemented
29#35509C214yesmaximal, complemented
30#35114C212yesmaximal, complemented
31#35047C212yesmaximal, complemented
32#34322C212yesmaximal, complemented
33#34321C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#557C2212yes—
38C2×#556C2212yes—
39C2×#555C2212yes—
40C2×#533C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43#2863C2212yes—
44#2861C2212yes—
45#2861C2212yes—
46#2860C2212yes—
47#2860C2212yes—
48#2860C2212yes—
49#2860C2212yes—
50#2859C2211yescharacteristic
51#2859C2212yes—
52#2858C2211yescharacteristic
53#2858C2212yes—
54#2857C2211yescharacteristic
55#2856C2211yescharacteristic
56#2854C2212yes—
57#2854C2212yes—
58#2854C2212yes—
59#2851C2212yes—
60#2850C2212yes—
61#2803C2214yes—
62#2777C2214yes—
63#2775C2214yes—
64#2774C2214yes—
65#2764C2214yes—
66#2748C2214yes—
67#2746C2214yes—
68#2727C2214yes—
69#2707C2214yes—
70#2706C2214yes—
71#2705C2214yes—
72#2702C2214yes—
73#2700C2214yes—
74#2681C2214yes—
75#2674C2214yes—
76#2672C2214yes—
77#2651C2214yes—
78#2649C2214yes—
79#2636C2214yes—
80#2632C2214yes—
81#2610C2214yes—
82#2609C2214yes—
83#2606C2214yes—
84#2604C2214yes—
85#2602C2214yes—
86#2602C2214yes—
87#2601C2214yes—
88#2601C2214yes—
89#2599C2214yes—
90#2596C2214yes—
91#2594C2214yes—
92#2594C2214yes—
93#2594C2214yes—
94#2592C2212yes—
95#2592C2212yes—
96#2589C2214yes—
97#2588C2214yes—
98#2587C2214yes—
99#2584C2212yes—
100#2584C2214yes—
101#2580C2212yes—
102#2579C2214yes—
103#2577C2214yes—
104#2571C2211yescharacteristic
105#2568C2212yes—
106#2566C2212yes—
107#2566C2212yes—
108#2566C2212yes—
109#2560C2214yes—
110#2559C2214yes—
111#2558C2214yes—
112#2558C2214yes—
113#2558C2214yes—
114#2558C2214yes—
115#2557C2214yes—
116#2555C2214yes—
117#2553C2214yes—
118#2552C2212yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2551C2212yes—
122#2551C2211yescharacteristic
123#2550C2212yes—
124#2550C2212yes—
125#2550C2214yes—
126#2548C2211yescharacteristic
127#2548C2212yes—
128#2547C2211yescharacteristic
129#2546C2211yescharacteristic
130#2545C2212yes—
131#2545C2214yes—
132#2545C2212yes—
133#2545C2214yes—
134#2544C2212yes—
135#2541C2211yescharacteristic
136#2531C2214yes—
137#2529C2214yes—
138#2529C2214yes—
139#2527C2214yes—
140#2526C2214yes—
141#2522C2214yes—
142#2521C2214yes—
143#2519C2214yes—
144#2514C2212yes—
145#2513C2212yes—
146#2512C2212yes—
147#2512C2212yes—
148#2509C2212yes—
149#2508C2212yes—
150#2507C2212yes—
151#2500C2212yes—
152#2500C2212yes—
153#2497C2212yes—
154#2497C2212yes—
155#2494C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2490C2212yes—
160#2489C2212yes—
161#2485C2212yes—
162#2479C2214yes—
163#2475C2214yes—
164#2474C2214yes—
165#2474C2214yes—
166#2469C2214yes—
167#2466C2214yes—
168#2460C2214yes—
169#2458C2214yes—
170#2455C2214yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2454C2212yes—
175#2453C2212yes—
176#2452C2212yes—
177#2451C2212yes—
178#2448C2212yes—
179#2445C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2439C2212yes—
184#2439C2214yes—
185#2429C2212yes—
186#2428C2212yes—
187#2426C2212yes—
188#2426C2212yes—
189#2423C2212yes—
190#2422C2212yes—
191#2422C2212yes—
192#2420C2212yes—
193#2414C2212yes—
194#2413C2214yes—
195#2373C2214yes—
196#2373C2214yes—
197#2373C2214yes—
198#2370C2212yes—
199#2370C2212yes—
200#2369C2212yes—
201#2367C2214yes—
202#2367C2214yes—
203#2367C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2367C2214yes—
207#2366C2211yescharacteristic
208#2366C2211yescharacteristic
209#2365C2212yes—
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2363C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2361C2214yes—
216#2360C2214yes—
217#2357C2212yes—
218#2355C2212yes—
219#2354C2212yes—
220#2354C2211yescharacteristic
221#2354C2211yescharacteristic
222#2351C2212yes—
223#2351C2212yes—
224Q8×C4⋊C4C2211yescharacteristic
225Q8×C4⋊C4C2211yescharacteristic
226D4×C4⋊C4C2212yes—
227D4×C4⋊C4C2212yes—
228#2347C2212yes—
229#2347C2214yes—
230#2347C2212yes—
231#2346C2214yes—
232#2346C2212yes—
233#2337C2214yes—
234#2337C2214yes—
235#2335C2214yes—
236#2334C2214yes—
237#2334C2214yes—
238#2324C2214yes—
239#2323C2214yes—
240C4×C4⋊Q8C2212yes—
241C4×C4⋊Q8C2212yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×C4⋊Q8C2211yescharacteristic
247C4×#127C2211yescharacteristic
248C4×#125C2211yescharacteristic
249C4×#125C2211yescharacteristic
250C4×#125C2211yescharacteristic
251C4×#125C2211yescharacteristic
252C4×#125C2211yescharacteristic
253C4×#125C2211yescharacteristic
254C4×#126C2212yes—
255C4×#126C2212yes—
256C4×#124C2212yes—
257C4×#124C2212yes—
258C4×#124C2211yescharacteristic
259C4×#124C2211yescharacteristic
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2211yescharacteristic
266C4×#123C2212yes—
267C4×#123C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273#2298C2212yes—
274#2296C2211yescharacteristic
275#2296C2212yes—
276#2296C2211yescharacteristic
277#2295C2211yescharacteristic
278#2295C2212yes—
279#2295C2212yes—
280#2295C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2274C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C43C2211yescharacteristic
299#559—48no—
300#557—48no—
301#556—216no—
302#555—216no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—28no—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×#117C2314yes—
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C22×C4⋊C4C2314yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2314yes—
467#392C2314yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#381C2314yes—
704#381C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C4⋊Q8—28no—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—48no—
850#127—24no—
851#127—44no—
852#126—28no—
853#126—216no—
854#126—216no—
855#126—48no—
856#126—48no—
857#125—24no—
858#125—24no—
859#125—24no—
860#125—28no—
861#125—44no—
862#125—44no—
863#125—48no—
864#125—48no—
865#124—24no—
866#124—28no—
867#124—216no—
868#124—216no—
869#124—28no—
870#124—28no—
871#124—48no—
872#124—44no—
873#124—48no—
874#123—28no—
875#123—48no—
876#123—48no—
877#123—48no—
878#123—48no—
879C22⋊Q8—24no—
880C22⋊Q8—216no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—44no—
884#121—28no—
885#121—24no—
886#121—28no—
887#121—216no—
888#121—44no—
889#121—44no—
890#121—44no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—48no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8#4118yes—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—48no—
921#117—24no—
922#117—28no—
923#117—28no—
924#117—216no—
925#117—216no—
926#117—44no—
927#117—48no—
928#117—42no—
929#117—44no—
930#117—42no—
931#117#4118yes—
932C2×C4⋊C4—48no—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—42no—
1055C2×C42—44no—
1056C2×C42—42no—
1057C2×C42—42no—
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2514yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—28no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8C2×#4114yes—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4C2×#4114yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4118yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4C2×#4118yes—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—28no—
1416C42—24no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—41no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—42no—
1445C42—42no—
1446C42—41no—
1447C42—41no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—44no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42C2×#4114yes—
1460C42C2×#4118yes—
1461C42C2×#4118yes—
1462C42H(5,𝔽2)14yes—
1463C422−1+414yes—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23C22×#4112yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—48no—
1488Q8—48no—
1489Q8—48no—
1490Q8—88no—
1491D4—48no—
1492D4—48no—
1493D4—44no—
1494D4—48no—
1495D4—88no—
1496D4—84no—
1497D4—88no—
1498D4—164no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—28no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—416no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—88no—
1588C2×C4—84no—
1589C2×C4—164no—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4114yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—42no—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C4—22no—
1637C4—22no—
1638C4—24no—
1639C4—22no—
1640C4—24no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—42no—
1653C4—41no—
1654C4—44no—
1655C4—41no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4#350714yes—
1667C4#351114yes—
1668C2—42no—
1669C2—82no—
1670C2—84no—
1671C2#41211yescharacteristic
1672C2C2×#350711yescharacteristic
1673C2#6279311yescharacteristic
1674C2C2×#351111yescharacteristic
1675C2#6280011yescharacteristic
1676C2#6283011yescharacteristic
1677C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36273C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59740C2semidirect
2. #59713C2semidirect
3. #59646C2semidirect
4. #59500C2semidirect
5. #59466C2semidirect
6. #59464C2semidirect
7. #59434C2semidirect
8. #59082C2semidirect
9. #59068C2semidirect
10. #40350C2semidirect
11. #40331C2semidirect
12. #39937C2semidirect
13. #39930C2semidirect
14. #39891C2semidirect
15. #39882C2semidirect
16. #36631C2semidirect
17. #36538C2semidirect
18. #36503C2semidirect
19. #36481C2semidirect
20. #36469C2semidirect
21. #36466C2semidirect
22. #36460C2semidirect
23. #36416C2semidirect
24. #36395C2semidirect
25. #36391C2semidirect
26. #36315C2semidirect
28. #36271C2semidirect
29. #35509C2semidirect
30. #35114C2semidirect
31. #35047C2semidirect
32. #34322C2semidirect
33. #34321C2semidirect
34. C4×#533C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#597402
#597132
#596462
#595002
#594662
#594642
#594342
#590822
#590682
#403502
#403312
#399372
#399302
#398912
#398822
#366312
#365382
#365032
#364812
#364692
#364662
#364602
#364162
#363952
#363912
#363152
#362732
#362712
#355092
#351142
#350472
#343222
#343212
C4×#5332
C4×#5292