Finite Group Databasebeta

← #7679794

Subgroups — #7679794

Order 512.

4697 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59705C214yesmaximal, complemented
2#59436C212yesmaximal, complemented
3#59432C212yesmaximal, complemented
4#59431C212yesmaximal, complemented
5#59427C212yesmaximal, complemented
6#59348C214yesmaximal, complemented
7#45232C212yesmaximal, complemented
8#45212C212yesmaximal, complemented
9#45166C212yesmaximal, complemented
10#45165C212yesmaximal, complemented
11#43691C214yesmaximal, complemented
12#43225C214yesmaximal, complemented
13#39299C212yesmaximal, complemented
14#39297C212yesmaximal, complemented
15#39296C212yesmaximal, complemented
16#39295C212yesmaximal, complemented
17#39159C212yesmaximal, complemented
18#39152C212yesmaximal, complemented
19#36512C212yesmaximal, complemented
20#36459C212yesmaximal, complemented
21#35620C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic
25#35267C211yesmaximal, characteristic, complemented
26#35267C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#34813C211yesmaximal, characteristic
29C2×#2495C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34215C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2863C2212yescomplemented
43#2863C2212yescomplemented
44#2860C2212yescomplemented
45#2860C2212yescomplemented
46#2857C2212yes—
47#2851C2212yes—
48#2810C2214yescomplemented
49#2808C2214yes—
50#2800C2214yes—
51#2798C2214yes—
52#2793C2214yes—
53#2788C2214yescomplemented
54#2786C2214yes—
55#2783C2214yes—
56#2783C2214yescomplemented
57#2776C2214yescomplemented
58#2775C2214yescomplemented
59#2767C2214yescomplemented
60#2762C2214yescomplemented
61#2759C2214yes—
62#2759C2214yescomplemented
63#2758C2214yescomplemented
64#2758C2214yescomplemented
65#2745C2214yes—
66#2745C2214yes—
67#2745C2214yescomplemented
68#2740C2214yes—
69#2716C2214yescomplemented
70#2715C2214yes—
71#2715C2214yes—
72#2645C2212yescomplemented
73#2645C2212yescomplemented
74#2644C2212yescomplemented
75#2644C2212yescomplemented
76#2629C2212yes—
77#2628C2212yes—
78#2605C2214yescomplemented
79#2599C2214yes—
80#2599C2214yescomplemented
81#2596C2214yes—
82#2594C2214yes—
83#2592C2214yes—
84#2588C2214yescomplemented
85#2584C2212yescomplemented
86#2584C2212yescomplemented
87#2577C2214yescomplemented
88#2573C2214yescomplemented
89#2570C2214yescomplemented
90#2568C2214yescomplemented
91#2568C2212yescomplemented
92#2567C2212yescomplemented
93#2566C2212yescomplemented
94#2565C2212yescomplemented
95#2563C2212yes—
96#2563C2212yescomplemented
97#2562C2212yes—
98#2562C2212yes—
99#2560C2214yes—
100#2560C2214yes—
101#2552C2212yescomplemented
102#2551C2212yescomplemented
103#2550C2212yescomplemented
104#2550C2212yescomplemented
105#2549C2214yes—
106#2547C2212yes—
107#2546C2212yescomplemented
108#2545C2214yes—
109#2533C2214yescomplemented
110#2532C2214yes—
111#2532C2214yescomplemented
112#2532C2214yescomplemented
113#2525C2214yes—
114#2525C2214yescomplemented
115#2524C2214yescomplemented
116#2524C2214yescomplemented
117#2523C2214yes—
118#2523C2214yescomplemented
119#2521C2214yes—
120#2514C2214yescomplemented
121#2514C2214yescomplemented
122#2510C2214yes—
123#2510C2214yes—
124#2497C2212yes—
125#2497C2212yes—
126#2497C2212yescomplemented
127#2497C2212yescomplemented
128#2496C2212yes—
129#2496C2212yes—
130#2496C2212yescomplemented
131#2496C2214yescomplemented
132#2496C2212yescomplemented
133#2495C2212yes—
134#2495C2212yes—
135#2495C2212yes—
136#2495C2212yes—
137#2495C2212yes—
138#2495C2212yes—
139#2495C2212yes—
140#2495C2212yes—
141#2495C2212yes—
142#2495C2212yes—
143#2495C2212yescomplemented
144#2495C2212yescomplemented
145#2494C2212yes—
146#2494C2212yes—
147#2494C2212yescomplemented
148#2494C2212yescomplemented
149#2493C2214yes—
150#2492C2214yes—
151#2492C2211yescharacteristic
152#2492C2212yes—
153#2492C2211yescharacteristic
154#2491C2211yescharacteristic
155#2491C2212yes—
156#2491C2211yescharacteristic
157#2490C2211yescharacteristic
158#2490C2212yes—
159#2490C2211yescharacteristic
160#2489C2212yes—
161#2489C2211yescharacteristic
162#2489C2211yescharacteristic
163#2488C2212yes—
164#2488C2214yes—
165#2488C2212yes—
166#2485C2214yes—
167#2481C2214yes—
168#2481C2214yes—
169#2480C2214yes—
170#2478C2214yes—
171#2474C2214yes—
172#2472C2212yes—
173#2472C2214yes—
174#2472C2212yes—
175#2469C2214yescomplemented
176#2466C2214yes—
177#2450C2214yes—
178#2450C2214yes—
179#2447C2214yes—
180#2442C2212yes—
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2441C2212yes—
184#2440C2212yes—
185#2440C2214yes—
186#2439C2212yes—
187#2439C2212yescomplemented
188#2439C2212yescomplemented
189#2438C2214yes—
190#2437C2214yes—
191#2421C2214yes—
192#2398C2212yes—
193#2398C2212yes—
194C2×#400C2212yes—
195C2×#397C2212yes—
196#2373C2214yes—
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2369C2212yescomplemented
200#2368C2214yes—
201#2368C2214yes—
202#2368C2214yes—
203#2365C2212yescomplemented
204#2360C2214yes—
205#2359C2214yes—
206#2358C2214yes—
207#2357C2212yescomplemented
208#2356C2214yescomplemented
209#2356C2212yescomplemented
210#2355C2212yescomplemented
211#2355C2212yescomplemented
212#2355C2212yescomplemented
213#2355C2212yescomplemented
214#2355C2212yescomplemented
215#2354C2212yes—
216#2354C2214yes—
217#2354C2212yescomplemented
218#2352C2212yes—
219#2352C2212yes—
220D4×C4⋊C4C2212yes—
221#2347C2211yescharacteristic
222#2347C2211yescharacteristic
223#2347C2214yescomplemented
224#2347C2212yescomplemented
225#2346C2211yescharacteristic
226#2346C2211yescharacteristic
227#2346C2212yescomplemented
228#2345C2211yescharacteristic
229#2345C2211yescharacteristic
230#2345C2212yescomplemented
231#2344C2211yescharacteristic
232#2344C2211yescharacteristic
233#2344C2212yescomplemented
234#2343C2212yes—
235#2343C2212yes—
236#2342C2212yes—
237#2342C2212yes—
238#2331C2212yescomplemented
239#2331C2212yescomplemented
240#2331C2212yescomplemented
241#2331C2212yescomplemented
242#2331C2212yescomplemented
243#2330C2212yescomplemented
244#2330C2212yescomplemented
245#2330C2212yescomplemented
246#2329C2214yes—
247#2324C2212yes—
248#2323C2212yes—
249#2318C2214yes—
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2316C2211yescharacteristic
256#2316C2211yescharacteristic
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260C4×C4⋊Q8C2212yescomplemented
261C4×C4⋊Q8C2212yescomplemented
262C4×C4⋊Q8C2212yescomplemented
263C4×#125C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2214yes—
271C4×C22⋊Q8C2212yes—
272C4×#121C2212yes—
273#2298C2212yes—
274#2298C2212yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281#2290C2214yes—
282C2×#388C2212yes—
283#2283C2212yes—
284C2×#383C2212yes—
285C2×#382C2211yescharacteristic
286#2280C2211yescharacteristic
287#2280C2211yescharacteristic
288C2×#380C2211yescharacteristic
289C2×#380C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302#544—28no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323#525—28no—
324C2×#123C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#120C2312yes—
335#520—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×#117—28no—
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2314yes—
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#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2312yes—
457#393C2312yes—
458#393C2312yes—
459#393C2312yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2311yescharacteristic
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#390C2312yes—
486#390C2314yes—
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#384C2312yes—
655#384C2312yes—
656#384C2312yes—
657#384C2314yes—
658#384C2312yes—
659#384C2312yes—
660#383C2312yes—
661#383C2314yes—
662#383C2314yes—
663#383C2312yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#381C2314yes—
686#381C2312yes—
687#381C2312yes—
688#381C2312yes—
689#381C2312yes—
690#380C2312yes—
691#380C2311yescharacteristic
692#380C2311yescharacteristic
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#379C2312yes—
721#379C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798#376C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804C2×#95C2312yes—
805C2×#95C2311yescharacteristic
806C2×#95C2311yescharacteristic
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8—84no—
857#126—48no—
858#126—84no—
859#126—84no—
860#125—24no—
861#125—24no—
862#125—28no—
863#125—28no—
864#125—28no—
865#125—28no—
866#124—44no—
867#124—44no—
868#124—84no—
869#123—28no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—84no—
877#121—24no—
878#121—24no—
879#120—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—48no—
884C4×Q8—84no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—48no—
890#117—24no—
891#117—24no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—28no—
898#117—28no—
899#117—28no—
900#117—48no—
901#117—44no—
902#117—44no—
903#117#4118yes—
904#117#4118yes—
905C2×C4⋊C4—24no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—82no—
913C2×C4⋊C4—82no—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4—28no—
980C2×C22⋊C4—42no—
981C2×C22⋊C4—42no—
982C2×C22⋊C4—44no—
983C2×C22⋊C4—82no—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—24no—
1033C2×C42—24no—
1034C2×C42—28no—
1035C2×C42—44no—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—22no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C2511yescharacteristic
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169#41—416no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—28no—
1175C2×Q8—28no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—416no—
1249C22×C4C2×#4114yes—
1250C22×C4C2×#4114yes—
1251C22×C42−1+414yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
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—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4114yes—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—22no—
1354C22⋊C4—28no—
1355C22⋊C4—22no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4C2×#4118yes—
1395C22⋊C4C2×#4118yes—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—28no—
1413C42—24no—
1414C42—24no—
1415C42—44no—
1416C42—42no—
1417C42—42no—
1418C42—44no—
1419C42—42no—
1420C42—44no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—44no—
1430C42—42no—
1431C42—42no—
1432C42C2×#4118yes—
1433C42C2×#4118yes—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23C22×#4112yes—
1466C23C22×#4112yes—
1467C23C2×2−1+412yes—
1468C23#58512yes—
1469C23C2611yescharacteristic
1470Q8—44no—
1471Q8—84no—
1472Q8—88no—
1473Q8—84no—
1474Q8—88no—
1475D4—48no—
1476D4—48no—
1477D4—44no—
1478D4—84no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—82no—
1577C2×C4—84no—
1578C2×C4#556116yes—
1579C2×C4C22×#4114yes—
1580C2×C4C22×#4114yes—
1581C2×C4C22×#4114yes—
1582C2×C4C22×#4114yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4#58512yes—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—41no—
1606C22—42no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—88no—
1618C22C2×#55614yes—
1619C22C23×#4111yescharacteristic
1620C22C23×#4111yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22H(7,𝔽2)11yescharacteristic
1625C222−1+611yescharacteristic
1626C4—24no—
1627C4—24no—
1628C4—24no—
1629C4—24no—
1630C4—22no—
1631C4—42no—
1632C4—41no—
1633C4—41no—
1634C4—42no—
1635C4—41no—
1636C4—44no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—44no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—44no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4C2×#55614yes—
1656C4C2×#55614yes—
1657C2—24no—
1658C2—42no—
1659C2—82no—
1660C2—81no—
1661C2C22×#55611yescharacteristic
1662C2#6281011yescharacteristic
1663C2#6285711yescharacteristic
1664C2#6292811yescharacteristic
1665C2#6295811yescharacteristic
1666C2#6299311yescharacteristic
1667C2#6299411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59705C2semidirect
2. #59436C2semidirect
3. #59432C2semidirect
4. #59431C2semidirect
5. #59427C2semidirect
6. #59348C2semidirect
7. #45232C2semidirect
8. #45212C2semidirect
9. #45166C2semidirect
10. #45165C2semidirect
11. #43691C2semidirect
12. #43225C2semidirect
13. #39299C2semidirect
14. #39297C2semidirect
15. #39296C2semidirect
16. #39295C2semidirect
17. #39159C2semidirect
18. #39152C2semidirect
19. #36512C2semidirect
20. #36459C2semidirect
21. #35620C2semidirect
22. #35566C2semidirect
23. #35544C2semidirect
25. #35267C2semidirect
26. #35267C2semidirect
27. #35253C2semidirect
29. C2×#2495C2semidirect
30. #34272C2semidirect
31. #34252C2semidirect
32. #34215C2semidirect
34. #34109C2semidirect
35. C4×#544C2semidirect
42. #2863C22semidirect
43. #2863C22semidirect
44. #2860C22semidirect
45. #2860C22semidirect
48. #2810C22semidirect
53. #2788C22semidirect
56. #2783C22semidirect
57. #2776C22semidirect
58. #2775C22semidirect
59. #2767C22semidirect
60. #2762C22semidirect
62. #2759C22semidirect
63. #2758C22semidirect
64. #2758C22semidirect
67. #2745C22semidirect
69. #2716C22semidirect
72. #2645C22semidirect
73. #2645C22semidirect
74. #2644C22semidirect
75. #2644C22semidirect
78. #2605C22semidirect
80. #2599C22semidirect
84. #2588C22semidirect
85. #2584C22semidirect
86. #2584C22semidirect
87. #2577C22semidirect
88. #2573C22semidirect
89. #2570C22semidirect
90. #2568C22semidirect
91. #2568C22semidirect
92. #2567C22semidirect
93. #2566C22semidirect
94. #2565C22semidirect
96. #2563C22semidirect
101. #2552C22semidirect
102. #2551C22semidirect
103. #2550C22semidirect
104. #2550C22semidirect
107. #2546C22semidirect
109. #2533C22semidirect
111. #2532C22semidirect
112. #2532C22semidirect
114. #2525C22semidirect
115. #2524C22semidirect
116. #2524C22semidirect
118. #2523C22semidirect
120. #2514C22semidirect
121. #2514C22semidirect
126. #2497C22semidirect
127. #2497C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2496C22semidirect
143. #2495C22semidirect
144. #2495C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
175. #2469C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
187. #2439C22semidirect
188. #2439C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2369C22semidirect
203. #2365C22semidirect
207. #2357C22semidirect
208. #2356C22semidirect
209. #2356C22semidirect
210. #2355C22semidirect
211. #2355C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
214. #2355C22semidirect
217. #2354C22semidirect
223. #2347C22semidirect
224. #2347C22semidirect
227. #2346C22semidirect
230. #2345C22semidirect
233. #2344C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2331C22semidirect
241. #2331C22semidirect
242. #2331C22semidirect
243. #2330C22semidirect
244. #2330C22semidirect
245. #2330C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#597052
#594362
#594322
#594312
#594272
#593482
#452322
#452122
#451662
#451652
#436912
#432252
#392992
#392972
#392962
#392952
#391592
#391522
#365122
#364592
#356202
#355662
#355442
#355422
#352672
#352532
#348132
C2×#24952
#342722
#342522
#342152
#342022
#341092
C4×#5442