Finite Group Databasebeta

← #7681070

Subgroups — #7681070

Order 512.

4763 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59713C212yesmaximal, complemented
2#59712C212yesmaximal, complemented
3#59708C214yesmaximal, complemented
4#59705C214yesmaximal, complemented
5#59580C212yesmaximal, complemented
6#59557C212yesmaximal, complemented
7#45311C212yesmaximal, complemented
8#45295C212yesmaximal, complemented
9#45219C212yesmaximal, complemented
10#45040C212yesmaximal, complemented
11#43648C214yesmaximal, complemented
12#43203C214yesmaximal, complemented
13#39513C212yesmaximal, complemented
14#39509C212yesmaximal, complemented
15#37963C212yesmaximal, complemented
16#37962C212yesmaximal, complemented
17#37961C212yesmaximal, complemented
18#37960C212yesmaximal, complemented
19#36196C212yesmaximal, complemented
20#36194C212yesmaximal, complemented
21#35557C211yesmaximal, characteristic, complemented
22#35545C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic
24#35542C211yesmaximal, characteristic
25#35275C211yesmaximal, characteristic, complemented
26#35257C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#34814C211yesmaximal, characteristic, complemented
29C2×#2497C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34272C211yesmaximal, characteristic, complemented
32#34271C211yesmaximal, characteristic, complemented
33#34180C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic
35#34060C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2868C2212yescomplemented
43#2859C2212yescomplemented
44#2857C2212yes—
45#2857C2212yescomplemented
46#2851C2212yes—
47#2851C2212yescomplemented
48#2810C2214yescomplemented
49#2808C2214yes—
50#2805C2214yescomplemented
51#2793C2214yes—
52#2793C2214yes—
53#2793C2214yescomplemented
54#2793C2214yescomplemented
55#2789C2214yescomplemented
56#2788C2214yes—
57#2787C2214yescomplemented
58#2786C2214yes—
59#2783C2214yes—
60#2777C2214yes—
61#2775C2214yescomplemented
62#2767C2214yescomplemented
63#2762C2214yescomplemented
64#2759C2214yescomplemented
65#2758C2214yescomplemented
66#2745C2214yes—
67#2740C2214yes—
68#2727C2214yes—
69#2715C2214yes—
70#2700C2214yes—
71#2689C2214yescomplemented
72#2660C2212yescomplemented
73#2660C2212yescomplemented
74#2629C2212yes—
75#2629C2212yescomplemented
76#2628C2212yes—
77#2628C2212yescomplemented
78#2605C2214yescomplemented
79#2604C2214yescomplemented
80#2601C2214yes—
81#2599C2214yes—
82#2596C2214yes—
83#2596C2214yescomplemented
84#2594C2214yes—
85#2588C2214yescomplemented
86#2577C2214yescomplemented
87#2573C2214yes—
88#2573C2214yescomplemented
89#2571C2214yescomplemented
90#2563C2212yes—
91#2563C2212yes—
92#2562C2212yes—
93#2562C2212yes—
94#2562C2212yes—
95#2562C2212yes—
96#2560C2214yes—
97#2552C2212yescomplemented
98#2552C2212yescomplemented
99#2551C2212yescomplemented
100#2551C2212yescomplemented
101#2547C2212yes—
102#2547C2212yes—
103#2545C2214yes—
104#2545C2214yes—
105#2538C2214yes—
106#2533C2214yescomplemented
107#2533C2214yescomplemented
108#2532C2214yes—
109#2528C2214yescomplemented
110#2524C2214yescomplemented
111#2521C2214yes—
112#2514C2212yescomplemented
113#2513C2212yescomplemented
114#2512C2212yescomplemented
115#2512C2212yescomplemented
116#2512C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2212yescomplemented
119#2511C2212yescomplemented
120#2510C2214yes—
121#2497C2212yes—
122#2497C2212yes—
123#2497C2212yes—
124#2497C2212yes—
125#2497C2212yes—
126#2497C2211yescharacteristic
127#2497C2211yescharacteristic
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2497C2212yescomplemented
132#2497C2212yescomplemented
133#2497C2212yescomplemented
134#2496C2211yescharacteristic
135#2496C2211yescharacteristic
136#2496C2212yescomplemented
137#2496C2212yescomplemented
138#2496C2212yescomplemented
139#2495C2211yescharacteristic
140#2495C2211yescharacteristic
141#2495C2212yescomplemented
142#2494C2211yescharacteristic
143#2494C2211yescharacteristic
144#2494C2212yescomplemented
145#2493C2212yes—
146#2493C2212yes—
147#2492C2214yes—
148#2492C2212yes—
149#2492C2212yes—
150#2492C2214yescomplemented
151#2491C2212yes—
152#2491C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2488C2214yes—
158#2488C2214yes—
159#2481C2214yes—
160#2481C2214yes—
161#2481C2214yes—
162#2480C2212yes—
163#2480C2212yes—
164#2478C2214yescomplemented
165#2474C2214yes—
166#2472C2214yes—
167#2472C2214yes—
168#2469C2214yes—
169#2469C2214yescomplemented
170#2469C2214yescomplemented
171#2466C2214yes—
172#2466C2214yes—
173#2465C2214yes—
174#2454C2212yescomplemented
175#2453C2212yescomplemented
176#2452C2212yescomplemented
177#2451C2212yescomplemented
178#2450C2214yes—
179#2449C2214yes—
180#2446C2214yescomplemented
181#2446C2214yescomplemented
182#2442C2212yes—
183#2441C2212yes—
184#2440C2214yes—
185#2440C2214yes—
186#2440C2212yes—
187#2439C2214yes—
188#2439C2212yes—
189#2439C2214yescomplemented
190#2438C2214yes—
191#2437C2214yes—
192#2401C2212yes—
193#2401C2212yes—
194C2×#400C2212yes—
195C2×#396C2212yes—
196#2373C2214yes—
197#2373C2214yescomplemented
198#2370C2212yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2369C2212yescomplemented
207#2369C2212yescomplemented
208#2369C2212yescomplemented
209#2369C2212yescomplemented
210#2368C2214yes—
211#2368C2214yes—
212#2365C2212yescomplemented
213#2365C2212yescomplemented
214#2365C2212yescomplemented
215#2365C2212yescomplemented
216#2363C2211yescharacteristic
217#2363C2211yescharacteristic
218#2362C2211yescharacteristic
219#2362C2211yescharacteristic
220#2361C2211yescharacteristic
221#2361C2211yescharacteristic
222#2360C2214yes—
223#2360C2211yescharacteristic
224#2360C2211yescharacteristic
225#2360C2214yes—
226#2359C2212yes—
227#2359C2212yes—
228#2358C2212yes—
229#2358C2212yes—
230#2355C2214yescomplemented
231#2354C2214yes—
232#2347C2212yes—
233#2346C2212yes—
234#2345C2212yes—
235#2344C2212yes—
236#2343C2214yes—
237#2342C2214yes—
238#2331C2212yescomplemented
239#2331C2212yescomplemented
240#2330C2212yescomplemented
241#2330C2212yescomplemented
242#2329C2214yes—
243#2320C2212yescomplemented
244#2319C2212yescomplemented
245#2318C2214yes—
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2317C2211yescharacteristic
250#2316C2211yescharacteristic
251#2314C2212yes—
252#2314C2212yes—
253#2314C2212yescomplemented
254#2314C2212yescomplemented
255#2311C2211yescharacteristic
256#2311C2211yescharacteristic
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259C4×C4⋊Q8C2212yescomplemented
260C4×C4⋊Q8C2212yescomplemented
261C4×#125C2212yescomplemented
262C4×#125C2212yescomplemented
263C4×#126C2212yes—
264C4×#126C2212yes—
265C4×C22⋊Q8C2214yes—
266#2297C2211yescharacteristic
267#2296C2211yescharacteristic
268#2296C2211yescharacteristic
269#2296C2211yescharacteristic
270#2295C2212yescomplemented
271#2293C2212yes—
272#2293C2212yescomplemented
273C2×#389C2211yescharacteristic
274C2×#389C2211yescharacteristic
275#2290C2214yes—
276#2290C2212yes—
277#2290C2212yes—
278C2×#388C2212yes—
279C2×#387C2212yes—
280#2285C2212yes—
281#2285C2211yescharacteristic
282#2285C2212yescomplemented
283C2×#384C2211yescharacteristic
284#2283C2212yes—
285#2283C2212yescomplemented
286#2280C2211yescharacteristic
287#2280C2211yescharacteristic
288C2×#380C2211yescharacteristic
289C2×#380C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302#544—28no—
303#544—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325#525—28no—
326C2×#123C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#120C2312yes—
337C4×#41—28no—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×#117—28no—
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2314yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#401C2312yes—
388#401C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
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#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2314yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2314yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#383C2312yes—
675#383C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#379C2312yes—
725#379C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4—24no—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8—84no—
857C4⋊Q8—84no—
858#126—28no—
859#126—44no—
860#126—48no—
861#126—84no—
862#126—84no—
863#125—28no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#124—84no—
870#124—84no—
871#123—28no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—216no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879#121—24no—
880#121—24no—
881#120—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—48no—
885C4×Q8—84no—
886C4×Q8—84no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—44no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—28no—
903#117—28no—
904#117—28no—
905#117—84no—
906#117—84no—
907#117#4118yes—
908#117#4118yes—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—82no—
917C2×C4⋊C4—82no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4—28no—
991C2×C22⋊C4—24no—
992C2×C22⋊C4—42no—
993C2×C22⋊C4—82no—
994C2×C22⋊C4—82no—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—28no—
1046C2×C42—82no—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084#95C2414yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—28no—
1179C2×Q8—28no—
1180C2×Q8—28no—
1181C2×Q8—22no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—416no—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C42−1+414yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4C2×#4114yes—
1357C4⋊C4C2×#4114yes—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4114yes—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4C2×#4118yes—
1405C22⋊C4C2×#4118yes—
1406C22⋊C42−1+414yes—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—44no—
1428C42—44no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42C2×#4118yes—
1443C42C2×#4118yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C2×2−1+412yes—
1478C23C2×2−1+412yes—
1479C23C2611yescharacteristic
1480Q8—44no—
1481Q8—88no—
1482Q8—88no—
1483Q8—88no—
1484D4—48no—
1485D4—48no—
1486D4—44no—
1487D4—84no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4#556116yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—88no—
1628C22C2×#55614yes—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22H(7,𝔽2)11yescharacteristic
1635C22H(7,𝔽2)11yescharacteristic
1636C4—24no—
1637C4—22no—
1638C4—24no—
1639C4—24no—
1640C4—24no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—44no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4C2×#55614yes—
1666C4C2×#55614yes—
1667C2—24no—
1668C2—42no—
1669C2—82no—
1670C2—81no—
1671C2C22×#55611yescharacteristic
1672C2#6280511yescharacteristic
1673C2#6285811yescharacteristic
1674C2#6294511yescharacteristic
1675C2#6295811yescharacteristic
1676C2#6299411yescharacteristic
1677C2#6300011yescharacteristic
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. #59713C2semidirect
2. #59712C2semidirect
3. #59708C2semidirect
4. #59705C2semidirect
5. #59580C2semidirect
6. #59557C2semidirect
7. #45311C2semidirect
8. #45295C2semidirect
9. #45219C2semidirect
10. #45040C2semidirect
11. #43648C2semidirect
12. #43203C2semidirect
13. #39513C2semidirect
14. #39509C2semidirect
15. #37963C2semidirect
16. #37962C2semidirect
17. #37961C2semidirect
18. #37960C2semidirect
19. #36196C2semidirect
20. #36194C2semidirect
21. #35557C2semidirect
22. #35545C2semidirect
25. #35275C2semidirect
26. #35257C2semidirect
27. #35253C2semidirect
28. #34814C2semidirect
29. C2×#2497C2semidirect
30. #34272C2semidirect
31. #34272C2semidirect
32. #34271C2semidirect
33. #34180C2semidirect
35. #34060C2semidirect
42. #2868C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
47. #2851C22semidirect
48. #2810C22semidirect
50. #2805C22semidirect
53. #2793C22semidirect
54. #2793C22semidirect
55. #2789C22semidirect
57. #2787C22semidirect
61. #2775C22semidirect
62. #2767C22semidirect
63. #2762C22semidirect
64. #2759C22semidirect
65. #2758C22semidirect
71. #2689C22semidirect
72. #2660C22semidirect
73. #2660C22semidirect
75. #2629C22semidirect
77. #2628C22semidirect
78. #2605C22semidirect
79. #2604C22semidirect
83. #2596C22semidirect
85. #2588C22semidirect
86. #2577C22semidirect
88. #2573C22semidirect
89. #2571C22semidirect
97. #2552C22semidirect
98. #2552C22semidirect
99. #2551C22semidirect
100. #2551C22semidirect
106. #2533C22semidirect
107. #2533C22semidirect
109. #2528C22semidirect
110. #2524C22semidirect
112. #2514C22semidirect
113. #2513C22semidirect
114. #2512C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2511C22semidirect
131. #2497C22semidirect
132. #2497C22semidirect
133. #2497C22semidirect
136. #2496C22semidirect
137. #2496C22semidirect
138. #2496C22semidirect
141. #2495C22semidirect
144. #2494C22semidirect
150. #2492C22semidirect
164. #2478C22semidirect
169. #2469C22semidirect
170. #2469C22semidirect
174. #2454C22semidirect
175. #2453C22semidirect
176. #2452C22semidirect
177. #2451C22semidirect
180. #2446C22semidirect
181. #2446C22semidirect
189. #2439C22semidirect
197. #2373C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2369C22semidirect
207. #2369C22semidirect
208. #2369C22semidirect
209. #2369C22semidirect
212. #2365C22semidirect
213. #2365C22semidirect
214. #2365C22semidirect
215. #2365C22semidirect
230. #2355C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
241. #2330C22semidirect
243. #2320C22semidirect
244. #2319C22semidirect
253. #2314C22semidirect
254. #2314C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×#125C22semidirect
262. C4×#125C22semidirect
270. #2295C22semidirect
272. #2293C22semidirect
282. #2285C22semidirect
285. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#597132
#597122
#597082
#597052
#595802
#595572
#453112
#452952
#452192
#450402
#436482
#432032
#395132
#395092
#379632
#379622
#379612
#379602
#361962
#361942
#355572
#355452
#355422
#352752
#352572
#352532
#348142
C2×#24972
#342722
#342712
#341802
#341362
#340602