Finite Group Databasebeta

← #7685836

Subgroups — #7685836

Order 512.

5487 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59919C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59688C214yesmaximal, complemented
4#59638C212yesmaximal, complemented
5#59630C212yesmaximal, complemented
6#59134C211yesmaximal, characteristic, complemented
7#59062C212yesmaximal, complemented
8#59049C211yesmaximal, characteristic, complemented
9#44969C212yesmaximal, complemented
10#44962C212yesmaximal, complemented
11#44198C214yesmaximal, complemented
12#44195C214yesmaximal, complemented
13#40147C212yesmaximal, complemented
14#40047C212yesmaximal, complemented
15#39771C211yesmaximal, characteristic, complemented
16#39737C211yesmaximal, characteristic, complemented
17#38505C214yesmaximal, complemented
18#38079C212yesmaximal, complemented
19#36596C211yesmaximal, characteristic, complemented
20#36580C212yesmaximal, complemented
21#36552C211yesmaximal, characteristic, complemented
22#36469C211yesmaximal, characteristic, complemented
23#36361C212yesmaximal, complemented
24#36257C212yesmaximal, complemented
25#36122C211yesmaximal, characteristic, complemented
26#36117C211yesmaximal, characteristic, complemented
27#35869C212yesmaximal, complemented
28#35778C212yesmaximal, complemented
29#34964C212yesmaximal, complemented
30#34772C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34294C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C2×#2365C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2211yescharacteristic
38C2×#553C2212yes—
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×#529C2212yes—
44C2×#520C2212yes—
45C2×C4×#41C2212yes—
46C22×C4×Q8C2212yes—
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2851C2212yes—
54#2850C2214yes—
55#2806C2214yes—
56#2798C2214yes—
57#2796C2214yes—
58#2795C2214yes—
59#2780C2214yes—
60#2779C2214yes—
61#2772C2214yes—
62#2761C2214yes—
63#2754C2214yes—
64#2751C2214yes—
65#2751C2214yes—
66#2747C2214yes—
67#2741C2214yes—
68#2722C2214yes—
69#2718C2214yes—
70#2716C2214yes—
71#2714C2214yes—
72#2710C2214yes—
73#2710C2214yes—
74#2692C2214yes—
75#2692C2214yes—
76#2650C2214yes—
77#2640C2212yes—
78#2630C2214yes—
79#2620C2212yes—
80#2607C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2601C2214yes—
84#2596C2214yes—
85#2595C2214yes—
86#2593C2214yes—
87#2592C2212yes—
88#2592C2212yes—
89#2592C2214yes—
90#2590C2214yes—
91#2589C2214yes—
92#2584C2212yes—
93#2584C2212yes—
94#2582C2212yes—
95#2582C2212yes—
96#2580C2212yes—
97#2580C2214yes—
98#2579C2214yes—
99#2574C2214yes—
100#2574C2214yes—
101#2568C2211yescharacteristic
102#2567C2212yes—
103#2562C2212yes—
104#2557C2214yes—
105#2554C2214yes—
106#2552C2211yescharacteristic
107#2552C2212yes—
108#2552C2211yescharacteristic
109#2548C2211yescharacteristic
110#2548C2212yes—
111#2547C2211yescharacteristic
112#2545C2212yes—
113#2545C2212yes—
114#2544C2212yes—
115#2543C2214yes—
116#2541C2211yescharacteristic
117#2540C2212yes—
118#2530C2214yes—
119#2529C2214yes—
120#2522C2214yes—
121#2522C2212yes—
122#2520C2212yes—
123#2513C2212yes—
124#2512C2212yes—
125#2512C2212yes—
126#2511C2212yes—
127#2511C2211yescharacteristic
128#2511C2212yes—
129#2508C2212yes—
130#2507C2211yescharacteristic
131#2507C2214yes—
132#2505C2212yes—
133#2505C2214yes—
134#2502C2212yes—
135#2502C2211yescharacteristic
136#2501C2212yes—
137#2498C2214yes—
138#2497C2212yes—
139#2497C2211yescharacteristic
140#2492C2212yes—
141#2492C2211yescharacteristic
142#2491C2212yes—
143#2491C2212yes—
144#2491C2212yes—
145#2490C2212yes—
146#2488C2214yes—
147#2487C2211yescharacteristic
148#2485C2212yes—
149#2481C2214yes—
150#2479C2214yes—
151#2479C2214yes—
152#2478C2214yes—
153#2474C2214yes—
154#2470C2214yes—
155#2470C2214yes—
156#2469C2214yes—
157#2467C2214yes—
158#2459C2214yes—
159#2458C2214yes—
160#2458C2214yes—
161#2455C2214yes—
162#2454C2212yes—
163#2453C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2450C2212yes—
167#2448C2212yes—
168#2448C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2446C2212yes—
174#2445C2212yes—
175#2443C2214yes—
176#2443C2214yes—
177#2441C2212yes—
178#2440C2211yescharacteristic
179#2439C2212yes—
180#2436C2212yes—
181#2436C2212yes—
182#2432C2212yes—
183#2431C2212yes—
184#2430C2214yes—
185#2430C2214yes—
186#2427C2212yes—
187#2425C2214yes—
188#2425C2214yes—
189#2425C2214yes—
190#2422C2212yes—
191#2419C2214yes—
192#2417C2211yescharacteristic
193#2417C2212yes—
194#2416C2212yes—
195#2416C2212yes—
196#2416C2212yes—
197#2414C2212yes—
198#2413C2214yes—
199#2402C2212yes—
200#2396C2214yes—
201#2396C2212yes—
202#2392C2214yes—
203#2373C2214yes—
204#2369C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2214yes—
210#2366C2211yescharacteristic
211#2366C2211yescharacteristic
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2212yes—
216#2365C2211yescharacteristic
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2365C2212yes—
220#2365C2214yes—
221#2365C2211yescharacteristic
222#2365C2211yescharacteristic
223#2363C2212yes—
224#2363C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2361C2214yes—
228#2361C2212yes—
229#2361C2212yes—
230#2361C2212yes—
231#2361C2211yescharacteristic
232#2361C2211yescharacteristic
233#2360C2214yes—
234#2360C2212yes—
235#2359C2214yes—
236#2359C2212yes—
237#2359C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2352C2212yes—
245#2352C2214yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2214yes—
250D4×C4⋊C4C2211yescharacteristic
251#2346C2212yes—
252#2344C2211yescharacteristic
253#2344C2211yescharacteristic
254#2341C2212yes—
255Q8×C22⋊C4C2212yes—
256#2339C2212yes—
257#2334C2214yes—
258#2326C2212yes—
259#2326C2212yes—
260#2326C2214yes—
261#2325C2214yes—
262#2323C2212yes—
263#2323C2214yes—
264#2311C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2211yescharacteristic
280C4×#121C2214yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286C2×#391C2212yes—
287C2×#389C2212yes—
288#2290C2214yes—
289#2290C2212yes—
290C2×#387C2214yes—
291#2285C2211yescharacteristic
292#2276C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#559—48no—
303#556—28no—
304#553—48no—
305#548—216no—
306#547—28no—
307#532—28no—
308C2×C4⋊Q8—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318#529—48no—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358#520—48no—
359C4×#41—48no—
360C2×C4×Q8—48no—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2314yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2314yes—
420C22×C42C2312yes—
421C22×C42C2312yes—
422C22×C42C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2312yes—
716#384C2314yes—
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2314yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2314yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C22×Q8—28no—
828C22×Q8—28no—
829C22×Q8—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868C4⋊Q8—28no—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8#4118yescomplemented
873#127—24no—
874#127—44no—
875#126—216no—
876#126—48no—
877#126—48no—
878#125—44no—
879#125—44no—
880#124—28no—
881#124—28no—
882#124—216no—
883#124—28no—
884#124—48no—
885#124—44no—
886#124—44no—
887#124—44no—
888#123—28no—
889#123—28no—
890#123—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—28no—
898C22⋊Q8—216no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901C22⋊Q8—44no—
902#121—216no—
903#121—24no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—44no—
911#121—44no—
912#121—48no—
913#121—48no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—28no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×Q8—48no—
922C4×Q8—48no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×D4—24no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—216no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—48no—
950C4×D4#4118yes—
951#117—28no—
952#117—44no—
953#117—44no—
954#117—44no—
955#117—48no—
956#117—48no—
957#117—44no—
958#117—44no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—28no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—48no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C42—28no—
1092C2×C42—24no—
1093C2×C42—24no—
1094C2×C42—48no—
1095C2×C42—44no—
1096C2×C42—44no—
1097C2×C42—44no—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2412yes—
1172#95C2414yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24C2512yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207#41—432no—
1208#41—432no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—28no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—28no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—44no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—432no—
1227C2×Q8C2×#4118yes—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4C2×#4114yes—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—24no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4C2×#4114yes—
1316C22×C4C2×#4114yes—
1317C22×C4H(5,𝔽2)14yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2514yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—41no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4C2×#4118yes—
1416C4⋊C4C2×#4118yes—
1417C4⋊C4C2×#4114yes—
1418C4⋊C4H(5,𝔽2)14yes—
1419C4⋊C42−1+414yes—
1420C22⋊C4—28no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—41no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4C2×#4114yes—
1470C22⋊C4C2×#4114yes—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—28no—
1478C42—28no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—28no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—42no—
1494C42—42no—
1495C42—42no—
1496C42—42no—
1497C42—44no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—41no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C42—41no—
1506C42C2×#4114yes—
1507C42C2×#4114yes—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—24no—
1522C23—24no—
1523C23—22no—
1524C23—24no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23C22×#4112yes—
1533C23C22×#4112yes—
1534C23C2×H(5,𝔽2)12yes—
1535C23#58512yes—
1536C23C2611yescharacteristic
1537Q8—216no—
1538Q8—416no—
1539Q8—48no—
1540Q8—48no—
1541Q8—44no—
1542Q8—84no—
1543D4—28no—
1544D4—416no—
1545D4—48no—
1546D4—416no—
1547D4—48no—
1548D4—44no—
1549D4—48no—
1550D4—48no—
1551D4—84no—
1552D4—88no—
1553D4—164no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—28no—
1573C2×C4—28no—
1574C2×C4—28no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—416no—
1636C2×C4—44no—
1637C2×C4—48no—
1638C2×C4—48no—
1639C2×C4—416no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—82no—
1646C2×C4—88no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—164no—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4118yes—
1654C2×C4C22×#4112yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4112yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×2−1+414yes—
1665C2×C4C2×2−1+412yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—44no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—44no—
1689C22—44no—
1690C22—42no—
1691C22—44no—
1692C22—42no—
1693C22#350614yes—
1694C22C23×#4111yescharacteristic
1695C22C23×#4111yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×2−1+411yescharacteristic
1699C22C2×#58511yescharacteristic
1700C222−1+611yescharacteristic
1701C4—22no—
1702C4—22no—
1703C4—24no—
1704C4—22no—
1705C4—22no—
1706C4—24no—
1707C4—22no—
1708C4—22no—
1709C4—28no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—44no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—44no—
1730C4#348114yes—
1731C4#352214yes—
1732C2—24no—
1733C2—42no—
1734C2—84no—
1735C2—82no—
1736C2C2×#348111yescharacteristic
1737C2C2×#350611yescharacteristic
1738C2C2×#352211yescharacteristic
1739C2#6291411yescharacteristic
1740C2#6300111yescharacteristic
1741C2#6300511yescharacteristic
1742C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59919C2semidirect
2. #59871C2semidirect
3. #59688C2semidirect
4. #59638C2semidirect
5. #59630C2semidirect
6. #59134C2semidirect
7. #59062C2semidirect
8. #59049C2semidirect
9. #44969C2semidirect
10. #44962C2semidirect
11. #44198C2semidirect
12. #44195C2semidirect
13. #40147C2semidirect
14. #40047C2semidirect
15. #39771C2semidirect
16. #39737C2semidirect
17. #38505C2semidirect
18. #38079C2semidirect
19. #36596C2semidirect
20. #36580C2semidirect
21. #36552C2semidirect
22. #36469C2semidirect
23. #36361C2semidirect
24. #36257C2semidirect
25. #36122C2semidirect
26. #36117C2semidirect
27. #35869C2semidirect
28. #35778C2semidirect
29. #34964C2semidirect
30. #34772C2semidirect
31. #34324C2semidirect
32. #34294C2semidirect
33. #34206C2semidirect
34. C4×#547C2semidirect
35. C2×#2365C2semidirect
872. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599192
#598712
#596882
#596382
#596302
#591342
#590622
#590492
#449692
#449622
#441982
#441952
#401472
#400472
#397712
#397372
#385052
#380792
#365962
#365802
#365522
#364692
#363612
#362572
#361222
#361172
#358692
#357782
#349642
#347722
#343242
#342942
#342062
C4×#5472
C2×#23652