Finite Group Databasebeta

← #7693119

Subgroups — #7693119

Order 512.

4932 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59548C212yesmaximal, complemented
2#59532C214yesmaximal, complemented
3#59429C211yesmaximal, characteristic, complemented
4#59298C212yesmaximal, complemented
5#59218C211yesmaximal, characteristic, complemented
6#59212C211yesmaximal, characteristic, complemented
7#59203C212yesmaximal, complemented
8#59038C212yesmaximal, complemented
9#45401C212yesmaximal, complemented
10#45006C212yesmaximal, complemented
11#44479C214yesmaximal, complemented
12#43628C214yesmaximal, complemented
13#39912C212yesmaximal, complemented
14#39909C212yesmaximal, complemented
15#38990C214yesmaximal, complemented
16#38932C211yesmaximal, characteristic, complemented
17#38931C211yesmaximal, characteristic, complemented
18#38926C212yesmaximal, complemented
19#36514C212yesmaximal, complemented
20#36514C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36411C211yesmaximal, characteristic, complemented
23#36210C211yesmaximal, characteristic, complemented
24#36168C212yesmaximal, complemented
25#36160C211yesmaximal, characteristic, complemented
26#36114C211yesmaximal, characteristic, complemented
27#36044C212yesmaximal, complemented
28#35855C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34814C212yesmaximal, complemented
31#34237C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#529C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2866C2214yescomplemented
42#2859C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2854C2212yescomplemented
46#2851C2212yescomplemented
47#2851C2212yescomplemented
48#2847C2212yes—
49#2788C2214yescomplemented
50#2783C2214yescomplemented
51#2778C2214yescomplemented
52#2765C2214yescomplemented
53#2764C2214yescomplemented
54#2758C2214yescomplemented
55#2753C2214yescomplemented
56#2752C2214yescomplemented
57#2750C2214yescomplemented
58#2749C2214yes—
59#2744C2214yescomplemented
60#2743C2214yes—
61#2737C2214yescomplemented
62#2737C2214yescomplemented
63#2698C2214yes—
64#2696C2214yes—
65#2695C2214yescomplemented
66#2693C2214yes—
67#2687C2214yescomplemented
68#2685C2214yes—
69#2678C2214yes—
70#2650C2214yescomplemented
71#2648C2214yescomplemented
72#2647C2212yescomplemented
73#2647C2212yescomplemented
74#2601C2214yes—
75#2597C2214yes—
76#2595C2214yescomplemented
77#2595C2214yescomplemented
78#2595C2214yescomplemented
79#2589C2214yescomplemented
80#2587C2214yescomplemented
81#2581C2212yescomplemented
82#2580C2212yes—
83#2578C2214yes—
84#2578C2214yes—
85#2577C2214yescomplemented
86#2577C2214yescomplemented
87#2575C2214yescomplemented
88#2574C2214yes—
89#2572C2212yes—
90#2572C2212yescomplemented
91#2571C2211yescharacteristic, complemented
92#2571C2211yescharacteristic, complemented
93#2570C2212yescomplemented
94#2570C2212yescomplemented
95#2567C2211yescharacteristic, complemented
96#2566C2212yes—
97#2563C2211yescharacteristic
98#2563C2211yescharacteristic
99#2563C2211yescharacteristic, complemented
100#2562C2212yes—
101#2562C2212yescomplemented
102#2561C2214yes—
103#2560C2214yescomplemented
104#2559C2214yes—
105#2559C2214yes—
106#2554C2214yescomplemented
107#2552C2211yescharacteristic, complemented
108#2538C2212yes—
109#2538C2212yes—
110#2538C2211yescharacteristic, complemented
111#2537C2211yescharacteristic
112#2537C2211yescharacteristic
113#2535C2212yes—
114#2533C2214yescomplemented
115#2533C2214yescomplemented
116#2531C2214yes—
117#2531C2214yes—
118#2531C2214yescomplemented
119#2528C2214yescomplemented
120#2525C2214yescomplemented
121#2515C2214yescomplemented
122#2514C2212yescomplemented
123#2512C2212yescomplemented
124#2510C2214yescomplemented
125#2510C2214yescomplemented
126#2509C2212yescomplemented
127#2508C2212yescomplemented
128#2504C2212yescomplemented
129#2497C2212yes—
130#2497C2212yescomplemented
131#2497C2212yescomplemented
132#2496C2212yes—
133#2496C2212yes—
134#2496C2212yescomplemented
135#2496C2212yescomplemented
136#2495C2212yes—
137#2495C2212yes—
138#2495C2211yescharacteristic
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2495C2212yescomplemented
142#2495C2211yescharacteristic, complemented
143#2494C2212yes—
144#2494C2212yescomplemented
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2493C2214yescomplemented
148#2493C2214yescomplemented
149#2490C2212yes—
150#2488C2214yescomplemented
151#2486C2212yescomplemented
152#2485C2212yes—
153#2485C2212yes—
154#2485C2212yes—
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2480C2214yes—
158#2480C2214yes—
159#2474C2214yescomplemented
160#2472C2214yes—
161#2470C2214yes—
162#2470C2214yescomplemented
163#2468C2214yescomplemented
164#2466C2214yescomplemented
165#2465C2214yescomplemented
166#2461C2214yescomplemented
167#2459C2214yes—
168#2456C2214yes—
169#2442C2212yescomplemented
170#2441C2212yescomplemented
171#2440C2212yescomplemented
172#2439C2212yescomplemented
173#2422C2212yes—
174#2422C2212yes—
175#2422C2212yescomplemented
176#2421C2212yes—
177#2421C2212yescomplemented
178#2421C2212yescomplemented
179#2420C2212yes—
180#2420C2212yes—
181#2420C2211yescharacteristic
182#2420C2212yes—
183#2420C2211yescharacteristic, complemented
184#2419C2214yescomplemented
185#2415C2212yes—
186#2414C2212yes—
187#2414C2212yescomplemented
188#2414C2212yescomplemented
189#2412C2214yes—
190#2411C2214yes—
191#2408C2212yes—
192#2407C2212yes—
193#2401C2214yes—
194#2401C2214yescomplemented
195#2398C2212yes—
196#2398C2212yescomplemented
197#2372C2214yescomplemented
198#2370C2212yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2369C2211yescharacteristic, complemented
202#2367C2212yes—
203#2367C2211yescharacteristic
204#2364C2212yes—
205#2363C2212yes—
206#2363C2212yes—
207#2363C2212yes—
208#2363C2211yescharacteristic
209#2363C2212yescomplemented
210#2362C2212yes—
211#2362C2212yescomplemented
212#2362C2212yescomplemented
213#2361C2212yescomplemented
214#2360C2211yescharacteristic
215#2359C2212yes—
216#2358C2214yes—
217#2358C2212yes—
218#2357C2214yescomplemented
219#2355C2212yescomplemented
220#2354C2211yescharacteristic
221#2354C2211yescharacteristic
222#2354C2211yescharacteristic
223#2354C2212yescomplemented
224#2354C2212yescomplemented
225#2354C2211yescharacteristic, complemented
226#2354C2212yescomplemented
227#2353C2214yescomplemented
228#2352C2212yes—
229#2352C2211yescharacteristic
230#2352C2212yes—
231#2352C2212yes—
232#2352C2212yescomplemented
233Q8×C4⋊C4C2211yescharacteristic, complemented
234Q8×C4⋊C4C2211yescharacteristic, complemented
235#2349C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238#2347C2214yescomplemented
239#2347C2212yescomplemented
240#2347C2212yescomplemented
241#2346C2212yescomplemented
242#2346C2212yescomplemented
243#2346C2214yescomplemented
244#2345C2212yes—
245#2345C2212yescomplemented
246#2344C2212yescomplemented
247#2343C2214yescomplemented
248#2342C2212yes—
249#2342C2214yes—
250#2341C2212yes—
251#2339C2211yescharacteristic
252D4×C22⋊C4C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254#2335C2214yescomplemented
255#2335C2214yescomplemented
256#2320C2212yescomplemented
257#2319C2212yes—
258#2319C2212yes—
259#2319C2212yes—
260#2319C2214yescomplemented
261#2318C2214yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#126C2214yes—
265C4×#126C2214yescomplemented
266C4×#126C2214yescomplemented
267C4×#124C2211yescharacteristic
268C4×#124C2214yescomplemented
269C4×C22⋊Q8C2211yescharacteristic
270C4×#123C2212yes—
271C4×#121C2212yes—
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic, complemented
277C4×#121C2212yescomplemented
278C4×#120C2212yes—
279#2296C2212yescomplemented
280#2296C2212yescomplemented
281#2285C2211yescharacteristic
282#2285C2211yescharacteristic, complemented
283#2285C2212yescomplemented
284#2283C2211yescharacteristic
285#2283C2212yescomplemented
286#2283C2211yescharacteristic, complemented
287#2283C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290C2×#380C2212yes—
291#2276C2212yescomplemented
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303#546—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306#529—216no—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2314yes—
313C2×#124C2311yescharacteristic
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#120C2312yes—
333C2×#120C2314yes—
334C4×#41—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4—28no—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#393C2312yes—
459#393C2312yes—
460#393C2314yes—
461#393C2312yes—
462#393C2314yes—
463#393C2312yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#390C2314yes—
477#390C2312yes—
478#390C2312yes—
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2311yescharacteristic
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
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#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2312yes—
624#386C2312yes—
625#386C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#384C2311yescharacteristic
651#384C2311yescharacteristic
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#384C2312yes—
658#383C2314yes—
659#383C2312yes—
660#383C2312yes—
661#383C2312yes—
662#383C2312yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#382C2312yes—
667#382C2312yes—
668#382C2311yescharacteristic
669#382C2311yescharacteristic
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2311yescharacteristic
676#382C2312yes—
677#382C2314yes—
678#382C2314yes—
679#382C2312yes—
680#382C2312yes—
681#381C2314yes—
682#381C2314yes—
683#381C2312yes—
684#381C2312yes—
685#381C2312yes—
686#381C2312yes—
687#381C2314yes—
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2311yescharacteristic
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#379C2312yes—
729#379C2314yes—
730#379C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C23×C4—28no—
837C23×C4—44no—
838C23×C4—44no—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861#126—216no—
862#126—48no—
863#126—84no—
864#125—28no—
865#125—44no—
866#124—216no—
867#124#4118yes—
868#123—216no—
869#123—28no—
870#123—84no—
871#123—84no—
872C22⋊Q8—28no—
873C22⋊Q8—24no—
874C22⋊Q8—44no—
875C22⋊Q8—84no—
876C22⋊Q8—82no—
877#121—28no—
878#121—24no—
879#121—28no—
880#121—28no—
881#121—28no—
882#121—44no—
883#121—44no—
884#121—42no—
885#121—42no—
886#120—28no—
887#120—48no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—82no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—216no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—84no—
917C4×D4#4118yes—
918#117—28no—
919#117—24no—
920#117—28no—
921#117—28no—
922#117—216no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—82no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4—28no—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—44no—
993C2×C22⋊C4—84no—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C42—28no—
1056C2×C42—24no—
1057C2×C42—24no—
1058C2×C42—28no—
1059C2×C42—44no—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
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#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181#41—416no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8C2×#4114yes—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—416no—
1223C2×D4C2×#4114yes—
1224C2×D4C2×#4114yes—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—816no—
1285C22×C4C2×#4118yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4C2×#4114yes—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—41no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4C2×#4118yes—
1433C22⋊C4C2×#4118yes—
1434C22⋊C4C2×#4118yes—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—24no—
1447C42—28no—
1448C42—28no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—41no—
1464C42—44no—
1465C42—44no—
1466C42—41no—
1467C42—44no—
1468C42C2×#4114yes—
1469C42C2×#4114yes—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—48no—
1503C23—48no—
1504C23—48no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23—84no—
1509C23C22×#4114yes—
1510C23C22×#4114yes—
1511C23#58512yes—
1512C23C2611yescharacteristic
1513Q8—28no—
1514Q8—84no—
1515Q8—84no—
1516D4—28no—
1517D4—28no—
1518D4—44no—
1519D4—48no—
1520D4—48no—
1521D4—44no—
1522D4—84no—
1523D4—88no—
1524D4—84no—
1525D4—88no—
1526D4—84no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—216no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—82no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—88no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—164no—
1626C2×C4C22×#4114yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C22×#4114yes—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4112yes—
1634C2×C4#58512yes—
1635C2×C4#58512yes—
1636C2×C4#58512yes—
1637C22—24no—
1638C22—22no—
1639C22—24no—
1640C22—22no—
1641C22—24no—
1642C22—22no—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—816no—
1673C22C23×#4111yescharacteristic
1674C22C23×#4111yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22C2×#58511yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22H(7,𝔽2)11yescharacteristic
1680C4—22no—
1681C4—22no—
1682C4—24no—
1683C4—22no—
1684C4—24no—
1685C4—44no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—41no—
1699C4—42no—
1700C4—44no—
1701C4—44no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4#347514yes—
1709C4#352114yes—
1710C2—44no—
1711C2—44no—
1712C2—42no—
1713C2—82no—
1714C2—81no—
1715C2C2×#347511yescharacteristic
1716C2C2×#352111yescharacteristic
1717C2#6281611yescharacteristic
1718C2#6293711yescharacteristic
1719C2#6299411yescharacteristic
1720C2#6300811yescharacteristic
1721C2#6302811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59548C2semidirect
2. #59532C2semidirect
3. #59429C2semidirect
4. #59298C2semidirect
5. #59218C2semidirect
6. #59212C2semidirect
7. #59203C2semidirect
8. #59038C2semidirect
9. #45401C2semidirect
10. #45006C2semidirect
11. #44479C2semidirect
12. #43628C2semidirect
13. #39912C2semidirect
14. #39909C2semidirect
15. #38990C2semidirect
16. #38932C2semidirect
17. #38931C2semidirect
18. #38926C2semidirect
19. #36514C2semidirect
20. #36514C2semidirect
21. #36416C2semidirect
22. #36411C2semidirect
23. #36210C2semidirect
24. #36168C2semidirect
25. #36160C2semidirect
26. #36114C2semidirect
27. #36044C2semidirect
28. #35855C2semidirect
29. #34943C2semidirect
30. #34814C2semidirect
31. #34237C2semidirect
32. #34194C2semidirect
33. #34193C2semidirect
34. C4×#555C2semidirect
35. C4×#546C2semidirect
41. #2866C22semidirect
42. #2859C22semidirect
44. #2857C22semidirect
45. #2854C22semidirect
46. #2851C22semidirect
47. #2851C22semidirect
49. #2788C22semidirect
50. #2783C22semidirect
51. #2778C22semidirect
52. #2765C22semidirect
53. #2764C22semidirect
54. #2758C22semidirect
55. #2753C22semidirect
56. #2752C22semidirect
57. #2750C22semidirect
59. #2744C22semidirect
61. #2737C22semidirect
62. #2737C22semidirect
65. #2695C22semidirect
67. #2687C22semidirect
70. #2650C22semidirect
71. #2648C22semidirect
72. #2647C22semidirect
73. #2647C22semidirect
76. #2595C22semidirect
77. #2595C22semidirect
78. #2595C22semidirect
79. #2589C22semidirect
80. #2587C22semidirect
81. #2581C22semidirect
85. #2577C22semidirect
86. #2577C22semidirect
87. #2575C22semidirect
90. #2572C22semidirect
91. #2571C22semidirect
92. #2571C22semidirect
93. #2570C22semidirect
94. #2570C22semidirect
95. #2567C22semidirect
99. #2563C22semidirect
101. #2562C22semidirect
103. #2560C22semidirect
106. #2554C22semidirect
107. #2552C22semidirect
110. #2538C22semidirect
114. #2533C22semidirect
115. #2533C22semidirect
118. #2531C22semidirect
119. #2528C22semidirect
120. #2525C22semidirect
121. #2515C22semidirect
122. #2514C22semidirect
123. #2512C22semidirect
124. #2510C22semidirect
125. #2510C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2504C22semidirect
130. #2497C22semidirect
131. #2497C22semidirect
134. #2496C22semidirect
135. #2496C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
141. #2495C22semidirect
142. #2495C22semidirect
144. #2494C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
147. #2493C22semidirect
148. #2493C22semidirect
150. #2488C22semidirect
151. #2486C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
159. #2474C22semidirect
162. #2470C22semidirect
163. #2468C22semidirect
164. #2466C22semidirect
165. #2465C22semidirect
166. #2461C22semidirect
169. #2442C22semidirect
170. #2441C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
175. #2422C22semidirect
177. #2421C22semidirect
178. #2421C22semidirect
183. #2420C22semidirect
184. #2419C22semidirect
187. #2414C22semidirect
188. #2414C22semidirect
194. #2401C22semidirect
196. #2398C22semidirect
197. #2372C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
209. #2363C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
213. #2361C22semidirect
218. #2357C22semidirect
219. #2355C22semidirect
223. #2354C22semidirect
224. #2354C22semidirect
225. #2354C22semidirect
226. #2354C22semidirect
227. #2353C22semidirect
232. #2352C22semidirect
233. Q8×C4⋊C4C22semidirect
234. Q8×C4⋊C4C22semidirect
238. #2347C22semidirect
239. #2347C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2346C22semidirect
243. #2346C22semidirect
245. #2345C22semidirect
246. #2344C22semidirect
247. #2343C22semidirect
254. #2335C22semidirect
255. #2335C22semidirect
256. #2320C22semidirect
260. #2319C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
265. C4×#126C22semidirect
266. C4×#126C22semidirect
268. C4×#124C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
279. #2296C22semidirect
280. #2296C22semidirect
282. #2285C22semidirect
283. #2285C22semidirect
285. #2283C22semidirect
286. #2283C22semidirect
287. #2283C22semidirect
291. #2276C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#595482
#595322
#594292
#592982
#592182
#592122
#592032
#590382
#454012
#450062
#444792
#436282
#399122
#399092
#389902
#389322
#389312
#389262
#365142
#364162
#364112
#362102
#361682
#361602
#361142
#360442
#358552
#349432
#348142
#342372
#341942
#341932
C4×#5552
C4×#5462