Finite Group Databasebeta

← #7711601

Subgroups — #7711601

Order 512.

4668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59668C211yesmaximal, characteristic, complemented
2#59666C211yesmaximal, characteristic, complemented
3#59429C211yesmaximal, characteristic, complemented
4#59427C211yesmaximal, characteristic, complemented
5#59225C212yesmaximal, complemented
6#59209C212yesmaximal, complemented
7#46344C212yesmaximal, complemented
8#46341C212yesmaximal, complemented
9#45752C214yesmaximal, complemented
10#40178C212yesmaximal, complemented
11#40155C212yesmaximal, complemented
12#40023C212yesmaximal, complemented
13#39975C212yesmaximal, complemented
14#39754C211yesmaximal, characteristic, complemented
15#39643C211yesmaximal, characteristic, complemented
16#39515C211yesmaximal, characteristic, complemented
17#39370C211yesmaximal, characteristic, complemented
18#38855C214yesmaximal, complemented
19#38598C214yesmaximal, complemented
20#37883C212yesmaximal, complemented
21#37686C212yesmaximal, complemented
22#37592C212yesmaximal, complemented
23#37264C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic
25#36635C211yesmaximal, characteristic, complemented
26#36199C212yesmaximal, complemented
27#36193C211yesmaximal, characteristic, complemented
28#36176C211yesmaximal, characteristic
29#36140C212yesmaximal
30#36133C211yesmaximal, characteristic, complemented
31#36116C211yesmaximal, characteristic
32#35248C212yesmaximal, complemented
33#35247C212yesmaximal
34#34435C212yesmaximal, complemented
35C2×C4×C4⋊Q8C211yesmaximal, characteristic, complemented
36C2×#544C2212yes—
37C2×#533C2212yes—
38C22×C4⋊Q8C2211yescharacteristic
39C2×#529C2212yes—
40C22×C4×Q8C2212yes—
41#2866C2212yes—
42#2865C2212yes—
43#2864C2212yes—
44#2864C2211yescharacteristic
45#2863C2212yes—
46#2863C2211yescharacteristic
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2861C2211yescharacteristic
50#2860C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2855C2212yes—
55#2855C2212yes—
56#2855C2212yes—
57#2855C2211yescharacteristic
58#2855C2212yes—
59#2855C2212yes—
60#2854C2211yescharacteristic
61#2854C2212yes—
62#2853C2212yes—
63#2852C2212yes—
64#2851C2212yes—
65#2851C2211yescharacteristic
66#2850C2211yescharacteristic
67#2839C2214yes—
68#2836C2214yes—
69#2806C2214yes—
70#2802C2214yes—
71#2802C2214yes—
72#2802C2214yes—
73#2799C2214yes—
74#2798C2214yes—
75#2793C2214yes—
76#2793C2214yes—
77#2791C2214yes—
78#2791C2214yes—
79#2788C2214yes—
80#2783C2214yes—
81#2776C2214yes—
82#2775C2214yes—
83#2774C2214yes—
84#2772C2214yes—
85#2770C2214yes—
86#2769C2214yes—
87#2762C2214yes—
88#2759C2214yes—
89#2758C2214yes—
90#2755C2214yes—
91#2755C2214yes—
92#2739C2214yes—
93#2734C2214yes—
94#2729C2214yes—
95#2729C2214yes—
96#2716C2214yes—
97#2713C2214yes—
98#2704C2214yes—
99#2698C2214yes—
100#2677C2214yes—
101#2666C2214yes—
102#2660C2212yes—
103#2650C2214yes—
104#2647C2212yes—
105#2637C2214yes—
106#2637C2214yes—
107#2634C2214yes—
108#2634C2214yes—
109#2629C2212yes—
110#2628C2212yes—
111#2612C2214yes—
112#2606C2214yes—
113#2592C2212yes—
114#2592C2212yes—
115#2584C2212yes—
116#2584C2212yes—
117#2582C2212yes—
118#2582C2212yes—
119#2581C2212yes—
120#2581C2212yes—
121#2581C2212yes—
122#2581C2212yes—
123#2571C2211yescharacteristic
124#2571C2212yes—
125#2570C2212yes—
126#2570C2212yes—
127#2568C2212yes—
128#2568C2212yes—
129#2567C2211yescharacteristic
130#2565C2212yes—
131#2563C2211yescharacteristic
132#2552C2211yescharacteristic
133#2552C2211yescharacteristic
134#2551C2211yescharacteristic
135#2551C2212yes—
136#2550C2212yes—
137#2550C2212yes—
138#2547C2211yescharacteristic
139#2546C2212yes—
140#2546C2211yescharacteristic
141#2546C2212yes—
142#2545C2212yes—
143#2538C2212yes—
144#2538C2212yes—
145#2532C2214yes—
146#2532C2214yes—
147#2530C2214yes—
148#2529C2214yes—
149#2528C2214yes—
150#2524C2214yes—
151#2524C2214yes—
152#2520C2214yes—
153#2520C2214yes—
154#2519C2214yes—
155#2514C2212yes—
156#2513C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2509C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2508C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2507C2212yes—
166#2507C2212yes—
167#2507C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2503C2214yes—
172#2497C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2495C2212yes—
179#2494C2212yes—
180#2493C2214yes—
181#2488C2214yes—
182#2488C2214yes—
183#2486C2212yes—
184#2486C2212yes—
185#2486C2214yes—
186#2484C2214yes—
187#2484C2214yes—
188#2484C2214yes—
189#2478C2214yes—
190#2475C2214yes—
191#2473C2214yes—
192#2469C2214yes—
193#2465C2214yes—
194#2462C2214yes—
195#2453C2212yes—
196#2453C2212yes—
197#2452C2212yes—
198#2451C2212yes—
199#2451C2214yes—
200#2449C2214yes—
201#2448C2212yes—
202#2447C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2438C2214yes—
212#2438C2214yes—
213#2434C2214yes—
214#2419C2214yes—
215#2413C2214yes—
216#2413C2214yes—
217#2413C2214yes—
218#2409C2214yes—
219#2382C2214yes—
220#2378C2214yes—
221#2371C2214yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2211yescharacteristic
226#2369C2212yes—
227#2369C2211yescharacteristic
228#2367C2212yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2362C2214yes—
233#2359C2214yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2352C2212yes—
238#2351C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242#2346C2212yes—
243#2346C2212yes—
244#2345C2212yes—
245#2344C2212yes—
246#2344C2212yes—
247#2344C2212yes—
248#2343C2214yes—
249#2332C2214yes—
250#2331C2214yes—
251#2331C2212yes—
252#2330C2212yes—
253#2327C2214yes—
254#2327C2214yes—
255#2323C2214yes—
256#2323C2214yes—
257#2314C2212yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#124C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281#2298C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285C2×#391C2212yes—
286#2293C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2212yes—
290#2290C2212yes—
291#2285C2212yes—
292C2×#384C2211yescharacteristic
293#2283C2212yes—
294#2283C2212yes—
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300#544—216no—
301#533—48no—
302C2×C4⋊Q8—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316#529—48no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2311yescharacteristic
338C2×C4×Q8—48no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C2×#117C2314yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2312yes—
377C22×C42C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382#401C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#383C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#382C2312yes—
722#382C2314yes—
723#382C2314yes—
724#381C2314yes—
725#381C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2314yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—44no—
817C22×Q8—44no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C4⋊Q8—28no—
842C4⋊Q8—216no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853C4⋊Q8#4118yes—
854#126—44no—
855#126—48no—
856#125—216no—
857#125—28no—
858#125—28no—
859#125—24no—
860#125—44no—
861#125—48no—
862#124—24no—
863#124—44no—
864#123—44no—
865#123—48no—
866#123—48no—
867C22⋊Q8—216no—
868C22⋊Q8—28no—
869C22⋊Q8—24no—
870C22⋊Q8—216no—
871C22⋊Q8—44no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874#121—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—44no—
893C4×D4—48no—
894#117—28no—
895#117—28no—
896#117—48no—
897#117—48no—
898#117—48no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—24no—
902C2×C4⋊C4—24no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—28no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C42—24no—
1020C2×C42—28no—
1021C2×C42—28no—
1022C2×C42—24no—
1023C2×C42—24no—
1024C2×C42—24no—
1025C2×C42—24no—
1026C2×C42—42no—
1027C2×C42—42no—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—28no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—432no—
1184C2×Q8C2×#4118yes—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4H(5,𝔽2)14yes—
1229C22×C42−1+414yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4114yes—
1348C4⋊C4C2×#4118yes—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—28no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—24no—
1401C42—28no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—41no—
1406C42—41no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42C2×#4114yes—
1419C422−1+414yes—
1420C422−1+414yes—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23C2×H(5,𝔽2)12yes—
1433C23C2×2−1+412yes—
1434C23#58512yes—
1435C23C2611yescharacteristic
1436Q8—48no—
1437Q8—48no—
1438Q8—48no—
1439Q8—48no—
1440Q8—48no—
1441Q8—44no—
1442Q8—88no—
1443Q8—84no—
1444D4—48no—
1445D4—44no—
1446C2×C4—28no—
1447C2×C4—28no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—28no—
1469C2×C4—28no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—48no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—88no—
1542C2×C4C22×#4114yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4114yes—
1546C2×C4C22×#4112yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4C2×2−1+412yes—
1550C2×C4C2×2−1+412yes—
1551C2×C4C2×2−1+412yes—
1552C2×C4C2×2−1+412yes—
1553C2×C4C2×2−1+412yes—
1554C2×C4C2×2−1+412yes—
1555C2×C4C2×2−1+412yes—
1556C2×C4C2×2−1+412yes—
1557C2×C4#58512yes—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22#354714yes—
1572C22C23×#4111yescharacteristic
1573C22C22×H(5,𝔽2)11yescharacteristic
1574C22C22×2−1+411yescharacteristic
1575C22C22×2−1+411yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C2×#58511yescharacteristic
1578C22C2×#58511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—24no—
1583C4—24no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—44no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—41no—
1595C4—41no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—44no—
1601C4—42no—
1602C4—42no—
1603C4—44no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—44no—
1608C4—42no—
1609C4—41no—
1610C4#352314yes—
1611C4#354414yes—
1612C2—24no—
1613C2—82no—
1614C2C2×#354411yescharacteristic
1615C2C2×#354711yescharacteristic
1616C2#6277311yescharacteristic
1617C2C2×#352311yescharacteristic
1618C2#6278811yescharacteristic
1619C2#6283111yescharacteristic
1620C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59668C2semidirect
2. #59666C2semidirect
3. #59429C2semidirect
4. #59427C2semidirect
5. #59225C2semidirect
6. #59209C2semidirect
7. #46344C2semidirect
8. #46341C2semidirect
9. #45752C2semidirect
10. #40178C2semidirect
11. #40155C2semidirect
12. #40023C2semidirect
13. #39975C2semidirect
14. #39754C2semidirect
15. #39643C2semidirect
16. #39515C2semidirect
17. #39370C2semidirect
18. #38855C2semidirect
19. #38598C2semidirect
20. #37883C2semidirect
21. #37686C2semidirect
22. #37592C2semidirect
23. #37264C2semidirect
25. #36635C2semidirect
26. #36199C2semidirect
27. #36193C2semidirect
30. #36133C2semidirect
32. #35248C2semidirect
34. #34435C2semidirect
35. C2×C4×C4⋊Q8C2semidirect

Maximal subgroups

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

subgroupindex
#596682
#596662
#594292
#594272
#592252
#592092
#463442
#463412
#457522
#401782
#401552
#400232
#399752
#397542
#396432
#395152
#393702
#388552
#385982
#378832
#376862
#375922
#372642
#366382
#366352
#361992
#361932
#361762
#361402
#361332
#361162
#352482
#352472
#344352
C2×C4×C4⋊Q82