Finite Group Databasebeta

← #7677405

Subgroups — #7677405

Order 512.

5193 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59944C212yesmaximal, complemented
2#59871C211yesmaximal, characteristic, complemented
3#59817C211yesmaximal, characteristic, complemented
4#59500C212yesmaximal, complemented
5#59486C212yesmaximal, complemented
6#59426C211yesmaximal, characteristic, complemented
7#59421C212yesmaximal, complemented
8#59411C211yesmaximal, characteristic, complemented
9#59245C211yesmaximal, characteristic, complemented
10#59244C211yesmaximal, characteristic, complemented
11#59070C211yesmaximal, characteristic, complemented
12#59039C211yesmaximal, characteristic
13#45383C212yesmaximal, complemented
14#45050C212yesmaximal, complemented
15#44991C212yesmaximal, complemented
16#44883C212yesmaximal, complemented
17#43423C214yesmaximal, complemented
18#43374C214yesmaximal, complemented
19#40453C214yesmaximal, complemented
20#40077C212yesmaximal, complemented
21#40069C212yesmaximal, complemented
22#38596C214yesmaximal, complemented
23#36443C212yesmaximal, complemented
24#36274C212yesmaximal, complemented
25#35561C212yesmaximal, complemented
26#35560C212yesmaximal, complemented
27#35214C212yesmaximal, complemented
28#35177C211yesmaximal, characteristic, complemented
29#34950C211yesmaximal, characteristic, complemented
30#34916C211yesmaximal, characteristic, complemented
31#34334C212yesmaximal, complemented
32#34331C211yesmaximal, characteristic, complemented
33#34226C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2212yes—
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2212yes—
41C2×#542C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×C4×#41C2212yes—
44#2857C2212yes—
45#2855C2214yes—
46#2855C2212yes—
47#2852C2214yes—
48#2806C2214yes—
49#2788C2214yes—
50#2787C2214yes—
51#2764C2214yes—
52#2759C2214yes—
53#2751C2214yes—
54#2747C2214yes—
55#2744C2214yes—
56#2739C2214yes—
57#2739C2214yes—
58#2730C2214yes—
59#2728C2214yes—
60#2717C2214yes—
61#2715C2214yes—
62#2707C2214yes—
63#2702C2214yes—
64#2702C2214yes—
65#2702C2214yes—
66#2701C2214yes—
67#2695C2214yes—
68#2687C2214yes—
69#2686C2214yes—
70#2683C2214yes—
71#2681C2214yes—
72#2665C2214yes—
73#2653C2214yes—
74#2652C2214yes—
75#2601C2214yes—
76#2601C2214yes—
77#2599C2214yes—
78#2597C2214yes—
79#2592C2212yes—
80#2590C2212yes—
81#2589C2212yes—
82#2588C2214yes—
83#2588C2212yes—
84#2587C2212yes—
85#2586C2214yes—
86#2584C2214yes—
87#2582C2211yescharacteristic
88#2582C2212yes—
89#2582C2212yes—
90#2577C2214yes—
91#2568C2212yes—
92#2567C2211yescharacteristic
93#2567C2211yescharacteristic
94#2567C2211yescharacteristic
95#2563C2211yescharacteristic
96#2560C2214yes—
97#2560C2214yes—
98#2560C2214yes—
99#2558C2214yes—
100#2554C2214yes—
101#2552C2212yes—
102#2552C2212yes—
103#2551C2211yescharacteristic
104#2551C2211yescharacteristic
105#2544C2212yes—
106#2538C2211yescharacteristic
107#2538C2212yes—
108#2538C2212yes—
109#2537C2212yes—
110#2531C2214yes—
111#2527C2214yes—
112#2526C2214yes—
113#2526C2214yes—
114#2514C2212yes—
115#2512C2212yes—
116#2512C2212yes—
117#2511C2212yes—
118#2511C2211yescharacteristic
119#2509C2212yes—
120#2509C2212yes—
121#2507C2212yes—
122#2507C2211yescharacteristic
123#2507C2212yes—
124#2507C2212yes—
125#2507C2212yes—
126#2498C2214yes—
127#2497C2212yes—
128#2497C2211yescharacteristic
129#2497C2212yes—
130#2496C2212yes—
131#2496C2212yes—
132#2494C2212yes—
133#2493C2214yes—
134#2492C2211yescharacteristic
135#2492C2212yes—
136#2492C2212yes—
137#2491C2212yes—
138#2485C2212yes—
139#2475C2214yes—
140#2469C2214yes—
141#2469C2214yes—
142#2468C2214yes—
143#2466C2214yes—
144#2466C2214yes—
145#2465C2214yes—
146#2461C2214yes—
147#2460C2214yes—
148#2459C2214yes—
149#2458C2214yes—
150#2452C2212yes—
151#2452C2212yes—
152#2452C2212yes—
153#2452C2212yes—
154#2452C2212yes—
155#2451C2212yes—
156#2451C2212yes—
157#2451C2211yescharacteristic
158#2450C2214yes—
159#2450C2214yes—
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2446C2211yescharacteristic
164#2445C2212yes—
165#2445C2212yes—
166#2439C2212yes—
167#2439C2212yes—
168#2439C2212yes—
169#2438C2214yes—
170#2438C2214yes—
171#2436C2214yes—
172#2432C2212yes—
173#2430C2214yes—
174#2429C2211yescharacteristic
175#2428C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2426C2214yes—
180#2425C2214yes—
181#2425C2214yes—
182#2423C2211yescharacteristic
183#2422C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2422C2212yes—
187#2421C2214yes—
188#2421C2212yes—
189#2420C2212yes—
190#2419C2214yes—
191#2417C2214yes—
192#2413C2214yes—
193#2409C2214yes—
194#2409C2214yes—
195#2407C2212yes—
196#2406C2214yes—
197#2402C2212yes—
198#2399C2214yes—
199#2396C2212yes—
200#2369C2212yes—
201#2369C2212yes—
202#2368C2214yes—
203#2368C2214yes—
204#2367C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2366C2211yescharacteristic
209#2366C2212yes—
210#2366C2211yescharacteristic
211#2365C2212yes—
212#2365C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2214yes—
217#2362C2212yes—
218#2360C2214yes—
219#2359C2214yes—
220#2357C2212yes—
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2354C2212yes—
224#2354C2211yescharacteristic
225#2354C2212yes—
226Q8×C4⋊C4C2211yescharacteristic
227Q8×C4⋊C4C2211yescharacteristic
228#2349C2212yes—
229#2349C2212yes—
230#2349C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234#2347C2212yes—
235#2341C2212yes—
236#2341C2212yes—
237Q8×C22⋊C4C2214yes—
238#2339C2212yes—
239#2339C2212yes—
240#2339C2212yes—
241#2337C2212yes—
242#2335C2214yes—
243#2335C2212yes—
244#2334C2212yes—
245#2332C2212yes—
246#2331C2211yescharacteristic
247#2331C2212yes—
248#2329C2214yes—
249#2329C2214yes—
250#2326C2212yes—
251#2326C2211yescharacteristic
252#2324C2211yescharacteristic
253#2324C2212yes—
254#2324C2212yes—
255#2323C2211yescharacteristic
256#2320C2211yescharacteristic
257#2319C2211yescharacteristic
258#2319C2212yes—
259#2319C2212yes—
260#2314C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#127C2212yes—
271C4×#126C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2214yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2214yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289C2×#391C2214yes—
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2275C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2314yes—
302#559—28no—
303#556—48no—
304#550—28no—
305D4×Q8—216no—
306D4×Q8—48no—
307#542—28no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C4×#41—48no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C22×C4⋊C4C2314yes—
398C22×C42C2311yescharacteristic
399C22×C42C2314yes—
400C22×C42C2312yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#396C2312yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#383C2312yes—
707#383C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#381C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—82no—
823C2×#41—82no—
824C22×Q8—216no—
825C22×Q8—48no—
826C22×Q8—84no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—24no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—24no—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8#4118yescomplemented
864#127—28no—
865#127#4118yes—
866#126—28no—
867#126—48no—
868#126—48no—
869#126—84no—
870#125—84no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—24no—
876#124—48no—
877#123—216no—
878#123—28no—
879#123—84no—
880#123—84no—
881#123—84no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—24no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—44no—
893C22⋊Q8—84no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—216no—
898#121—24no—
899#121—84no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—28no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—48no—
911C4×Q8—44no—
912C4×Q8—84no—
913C4×Q8—82no—
914C4×Q8—82no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—82no—
935C4×D4—82no—
936C4×D4—84no—
937#117—28no—
938#117—24no—
939#117—24no—
940#117—48no—
941#117—44no—
942#117—84no—
943C2×C4⋊C4—84no—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—24no—
1063C2×C42—48no—
1064C2×C42—44no—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
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#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2514yes—
1184#41—432no—
1185#41—816no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—28no—
1192C2×Q8—24no—
1193C2×Q8—28no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—28no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—832no—
1209C2×Q8C2×#4118yes—
1210C2×Q82−1+414yes—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—28no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4C2×#4118yes—
1233C2×D4C2×#4118yes—
1234C2×D4C2×#4118yes—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—28no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4C2×#4114yes—
1376C4⋊C4C2×#4118yes—
1377C4⋊C4H(5,𝔽2)14yes—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—28no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—44no—
1451C42—41no—
1452C42—42no—
1453C42—41no—
1454C42—44no—
1455C42—41no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—41no—
1460C42—44no—
1461C42C2×#4114yes—
1462C42C2×#4114yes—
1463C422−1+414yes—
1464C23—24no—
1465C23—24no—
1466C23—24no—
1467C23—24no—
1468C23—24no—
1469C23—24no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23C22×#4118yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—48no—
1488Q8—416no—
1489Q8—48no—
1490Q8—48no—
1491Q8—44no—
1492Q8—44no—
1493Q8—88no—
1494D4—216no—
1495D4—216no—
1496D4—48no—
1497D4—416no—
1498D4—44no—
1499D4—84no—
1500D4—88no—
1501D4—88no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—416no—
1584C2×C4—416no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—88no—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C2×H(5,𝔽2)14yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4C2×2−1+414yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4C2×2−1+412yes—
1611C22—28no—
1612C22—28no—
1613C22—28no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—44no—
1618C22—42no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22C23×#4111yescharacteristic
1633C22C23×#4111yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×2−1+411yescharacteristic
1636C22C22×2−1+411yescharacteristic
1637C22H(7,𝔽2)11yescharacteristic
1638C22H(7,𝔽2)11yescharacteristic
1639C4—24no—
1640C4—24no—
1641C4—22no—
1642C4—24no—
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4#348214yes—
1670C4#352014yes—
1671C2—48no—
1672C2—82no—
1673C2—81no—
1674C2C2×#348211yescharacteristic
1675C2C2×#352011yescharacteristic
1676C2#6284611yescharacteristic
1677C2#6291711yescharacteristic
1678C2#6294311yescharacteristic
1679C2#6298311yescharacteristic
1680C2#6299911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59039C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59944C2semidirect
2. #59871C2semidirect
3. #59817C2semidirect
4. #59500C2semidirect
5. #59486C2semidirect
6. #59426C2semidirect
7. #59421C2semidirect
8. #59411C2semidirect
9. #59245C2semidirect
10. #59244C2semidirect
11. #59070C2semidirect
13. #45383C2semidirect
14. #45050C2semidirect
15. #44991C2semidirect
16. #44883C2semidirect
17. #43423C2semidirect
18. #43374C2semidirect
19. #40453C2semidirect
20. #40077C2semidirect
21. #40069C2semidirect
22. #38596C2semidirect
23. #36443C2semidirect
24. #36274C2semidirect
25. #35561C2semidirect
26. #35560C2semidirect
27. #35214C2semidirect
28. #35177C2semidirect
29. #34950C2semidirect
30. #34916C2semidirect
31. #34334C2semidirect
32. #34331C2semidirect
33. #34226C2semidirect
34. C4×#550C2semidirect
35. C4×#542C2semidirect
863. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599442
#598712
#598172
#595002
#594862
#594262
#594212
#594112
#592452
#592442
#590702
#590392
#453832
#450502
#449912
#448832
#434232
#433742
#404532
#400772
#400692
#385962
#364432
#362742
#355612
#355602
#352142
#351772
#349502
#349162
#343342
#343312
#342262
C4×#5502
C4×#5422