Finite Group Databasebeta

← #8750670

Subgroups — #8750670

Order 512.

5581 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59818C211yesmaximal, characteristic, complemented
2#59484C212yesmaximal, complemented
3#58750C212yesmaximal, complemented
4#57664C214yesmaximal, complemented
5#56120C214yesmaximal, complemented
6#55417C214yesmaximal, complemented
7#55257C214yesmaximal, complemented
8#53006C212yesmaximal, complemented
9#52958C211yesmaximal, characteristic, complemented
10#52411C212yesmaximal, complemented
11#52319C214yesmaximal, complemented
12#47176C212yesmaximal, complemented
13#45353C212yesmaximal, complemented
14#45214C211yesmaximal, characteristic, complemented
15#45134C212yesmaximal, complemented
16#45108C212yesmaximal, complemented
17#45049C212yesmaximal, complemented
18#42926C212yesmaximal, complemented
19#42917C211yesmaximal, characteristic, complemented
20#42767C212yesmaximal, complemented
21#42648C212yesmaximal, complemented
22#42555C212yesmaximal, complemented
23#42011C212yesmaximal, complemented
24#40785C214yesmaximal, complemented
25#40073C212yesmaximal, complemented
26#38951C211yesmaximal, characteristic, complemented
27#36696C211yesmaximal, characteristic, complemented
28#35750C211yesmaximal, characteristic, complemented
29#35750C212yesmaximal, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#548C2212yescomplemented
32C2×#547C2211yescharacteristic
33C2×#547C2212yes—
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2212yes—
36C2×#546C2212yes—
37C2×#546C2212yes—
38C2×#542C2212yescomplemented
39C2×#536C2211yescharacteristic, complemented
40#2862C2211yescharacteristic, complemented
41#2843C2214yescomplemented
42#2843C2211yescharacteristic, complemented
43#2837C2214yescomplemented
44#2837C2214yescomplemented
45#2835C2212yescomplemented
46#2832C2212yescomplemented
47#2832C2214yescomplemented
48#2830C2212yescomplemented
49#2830C2211yescharacteristic, complemented
50#2829C2212yescomplemented
51#2829C2212yescomplemented
52#2829C2212yescomplemented
53#2828C2211yescharacteristic, complemented
54#2828C2212yescomplemented
55#2827C2214yescomplemented
56#2826C2214yescomplemented
57#2824C2214yescomplemented
58#2823C2211yescharacteristic, complemented
59#2818C2212yescomplemented
60#2816C2214yescomplemented
61#2814C2212yescomplemented
62#2814C2214yescomplemented
63#2811C2212yescomplemented
64#2795C2214yescomplemented
65#2781C2214yescomplemented
66#2778C2214yescomplemented
67#2765C2214yescomplemented
68#2764C2214yescomplemented
69#2764C2214yescomplemented
70#2764C2214yescomplemented
71#2756C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2751C2214yescomplemented
75#2750C2214yescomplemented
76#2749C2214yescomplemented
77#2749C2214yescomplemented
78#2742C2214yescomplemented
79#2741C2214yescomplemented
80#2736C2214yescomplemented
81#2735C2212yescomplemented
82#2730C2214yescomplemented
83#2728C2212yescomplemented
84#2724C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2717C2214yescomplemented
88#2712C2214yescomplemented
89#2712C2212yescomplemented
90#2710C2214yescomplemented
91#2710C2214yescomplemented
92#2708C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2706C2214yescomplemented
96#2706C2214yescomplemented
97#2703C2214yescomplemented
98#2702C2214yescomplemented
99#2701C2214yescomplemented
100#2697C2214yescomplemented
101#2695C2214yescomplemented
102#2693C2214yescomplemented
103#2691C2214yescomplemented
104#2688C2214yescomplemented
105#2687C2214yescomplemented
106#2687C2214yescomplemented
107#2687C2214yescomplemented
108#2686C2214yescomplemented
109#2684C2214yescomplemented
110#2680C2214yescomplemented
111#2680C2212yescomplemented
112#2678C2214yescomplemented
113#2672C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2214yescomplemented
116#2669C2212yescomplemented
117#2663C2212yescomplemented
118#2661C2214yescomplemented
119#2653C2214yescomplemented
120#2653C2214yescomplemented
121#2646C2214yescomplemented
122#2643C2214yescomplemented
123#2631C2214yescomplemented
124#2630C2214yescomplemented
125#2627C2212yescomplemented
126#2627C2214yescomplemented
127#2625C2211yescharacteristic, complemented
128#2623C2214yescomplemented
129#2621C2212yescomplemented
130#2620C2212yescomplemented
131#2616C2211yescharacteristic
132#2616C2212yes—
133#2613C2214yes—
134#2613C2212yes—
135#2583C2212yescomplemented
136#2579C2214yescomplemented
137#2578C2214yescomplemented
138#2572C2212yescomplemented
139#2572C2214yescomplemented
140#2563C2212yescomplemented
141#2561C2214yescomplemented
142#2557C2214yescomplemented
143#2555C2212yescomplemented
144#2547C2211yescharacteristic, complemented
145#2547C2212yescomplemented
146#2547C2212yescomplemented
147#2546C2212yescomplemented
148#2542C2212yescomplemented
149#2542C2211yescharacteristic, complemented
150#2536C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yescomplemented
153#2534C2214yescomplemented
154#2518C2214yescomplemented
155#2514C2212yescomplemented
156#2510C2214yescomplemented
157#2505C2214yescomplemented
158#2502C2212yescomplemented
159#2502C2214yescomplemented
160#2495C2212yescomplemented
161#2495C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2487C2212yescomplemented
167#2483C2212yescomplemented
168#2480C2214yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2477C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2464C2214yescomplemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2450C2214yescomplemented
180#2447C2212yescomplemented
181#2447C2212yescomplemented
182#2446C2212yescomplemented
183#2437C2214yescomplemented
184#2437C2214yescomplemented
185#2437C2214yescomplemented
186#2435C2211yescharacteristic
187#2435C2212yes—
188#2434C2211yescharacteristic, complemented
189#2432C2212yes—
190#2432C2212yes—
191#2432C2212yes—
192#2432C2212yescomplemented
193#2431C2212yescomplemented
194#2430C2212yes—
195#2430C2214yes—
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2214yescomplemented
200#2422C2214yescomplemented
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2212yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2412C2214yescomplemented
210#2410C2214yes—
211#2410C2214yes—
212#2410C2214yes—
213#2409C2212yescomplemented
214#2409C2211yescharacteristic, complemented
215#2408C2212yes—
216#2408C2211yescharacteristic
217#2407C2212yes—
218#2407C2212yes—
219#2407C2212yes—
220#2407C2212yescomplemented
221#2407C2214yescomplemented
222#2407C2212yescomplemented
223#2406C2214yes—
224#2406C2212yes—
225#2405C2214yes—
226#2405C2214yes—
227#2405C2214yes—
228#2404C2214yescomplemented
229#2395C2212yescomplemented
230#2395C2211yescharacteristic, complemented
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233#2392C2212yescomplemented
234#2388C2212yes—
235#2388C2211yescharacteristic
236C2×#394C2212yes—
237C2×#394C2214yes—
238#2367C2212yescomplemented
239#2367C2212yescomplemented
240#2361C2212yescomplemented
241#2358C2212yescomplemented
242#2357C2212yescomplemented
243#2342C2214yescomplemented
244#2341C2211yescharacteristic, complemented
245#2339C2211yescharacteristic
246#2339C2212yes—
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250#2329C2214yescomplemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2311C2212yescomplemented
254#2311C2212yescomplemented
255C4×#127C2211yescharacteristic, complemented
256C4×#126C2212yescomplemented
257C4×#124C2212yescomplemented
258#2293C2211yescharacteristic, complemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2312yes—
268C23×Q8C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2314yes—
272C23×D4C2312yes—
273#548—48no—
274#547—44no—
275#547—48no—
276#547—44no—
277#546—48no—
278#546—48no—
279#546—48no—
280#542—48no—
281#536—44no—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2312yes—
287C2×#127C2311yescharacteristic
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#123C2312yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2312yes—
336C2×#120C2314yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365#401C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2311yescharacteristic
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#399C2311yescharacteristic
385#399C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2311yescharacteristic
389#398C2312yes—
390#398C2312yes—
391#398C2314yes—
392#398C2312yes—
393#398C2312yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#397C2312yes—
414#397C2311yescharacteristic
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2312yes—
446#395C2311yescharacteristic
447#395C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2312yes—
452#395C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2311yescharacteristic
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2311yescharacteristic
506#393C2312yes—
507#393C2312yes—
508#393C2314yes—
509#393C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2314yes—
517#392C2311yescharacteristic
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2312yes—
541#391C2314yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#384C2311yescharacteristic
658#384C2314yes—
659#384C2312yes—
660#383C2312yes—
661#383C2314yes—
662#383C2314yes—
663#383C2314yes—
664#382C2312yes—
665#382C2312yes—
666#382C2314yes—
667#381C2314yes—
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#381C2314yes—
672#381C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2312yes—
699#379C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2312yes—
720C2×#95C2314yes—
721C2×#95C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725H(5,𝔽2)—464no—
726C2×#41—28no—
727C2×#41—24no—
728C2×#41—24no—
729C2×#41—28no—
730C2×#41—44no—
731C2×#41—42no—
732C2×#41—48no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—44no—
742C2×#41—82no—
743C22×Q8—42no—
744C22×Q8—44no—
745C22×Q8C2411yescharacteristic
746C22×Q8C2412yes—
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2414yes—
751C22×Q8C2411yescharacteristic
752C22×D4—28no—
753C22×D4—28no—
754C22×D4—28no—
755C22×D4—44no—
756C22×D4—42no—
757C22×D4—48no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C4⋊Q8—44no—
798C4⋊Q8—42no—
799C4⋊Q8—44no—
800C4⋊Q8—44no—
801C4⋊Q8—42no—
802#127—42no—
803#126—44no—
804#126—48no—
805#124—28no—
806#124—28no—
807#124—28no—
808#124—48no—
809#124—48no—
810#124—82no—
811#124—84no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—44no—
819#123—44no—
820#123—48no—
821#123—48no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—48no—
825C22⋊Q8—44no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—42no—
833C22⋊Q8—42no—
834C22⋊Q8—44no—
835C22⋊Q8—44no—
836C22⋊Q8—44no—
837C22⋊Q8—84no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—48no—
847#120—44no—
848#120—48no—
849#120—48no—
850#120—48no—
851#120—84no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×D4—28no—
855C4×D4—24no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—42no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—84no—
868#117—42no—
869#117—44no—
870#117—82no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—48no—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—48no—
922C2×C22⋊C4—48no—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—84no—
925C2×C22⋊C4—84no—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010#95C2412yes—
1011#95C2411yescharacteristic
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2411yescharacteristic
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2411yescharacteristic
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2411yescharacteristic
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—28no—
1066C24—28no—
1067C24—28no—
1068C24—44no—
1069C24—42no—
1070C24—44no—
1071C24—42no—
1072C24—44no—
1073C24—42no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24C2512yes—
1078C24C2511yescharacteristic
1079C24C2512yes—
1080C24C2511yescharacteristic
1081C24C2514yes—
1082C24C2512yes—
1083#41—432no—
1084#41—416no—
1085#41—432no—
1086#41—416no—
1087#41—88no—
1088#41—816no—
1089#41—816no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—22no—
1095C2×Q8—24no—
1096C2×Q8—22no—
1097C2×Q8—24no—
1098C2×Q8—42no—
1099C2×Q8—41no—
1100C2×Q8—42no—
1101C2×Q8—44no—
1102C2×Q8—42no—
1103C2×Q8—42no—
1104C2×Q8—44no—
1105C2×Q8—44no—
1106C2×Q8—44no—
1107C2×Q8—88no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—41no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—41no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—416no—
1162C2×D4—432no—
1163C2×D4—464no—
1164C2×D4—432no—
1165C2×D4H(5,𝔽2)18yes—
1166C2×D4H(5,𝔽2)14yes—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—41no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—44no—
1252C4⋊C4—41no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—28no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—24no—
1352C42—22no—
1353C42—44no—
1354C42—42no—
1355C42—41no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C23—24no—
1361C23—24no—
1362C23—24no—
1363C23—24no—
1364C23—22no—
1365C23—22no—
1366C23—24no—
1367C23—24no—
1368C23—24no—
1369C23—24no—
1370C23—22no—
1371C23—21no—
1372C23—22no—
1373C23—22no—
1374C23—21no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—21no—
1382C23—22no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—48no—
1395C23—416no—
1396C23—88no—
1397C23—88no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—88no—
1402C23—164no—
1403C23—162no—
1404C23—162no—
1405C23—164no—
1406C23C2×H(5,𝔽2)18yes—
1407C23C2×H(5,𝔽2)14yes—
1408C23C2611yescharacteristic
1409Q8—44no—
1410Q8—48no—
1411Q8—44no—
1412Q8—44no—
1413Q8—84no—
1414Q8—84no—
1415Q8—164no—
1416D4—216no—
1417D4—28no—
1418D4—44no—
1419D4—416no—
1420D4—48no—
1421D4—416no—
1422D4—48no—
1423D4—48no—
1424D4—44no—
1425D4—82no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—88no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—84no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—48no—
1497C2×C4—416no—
1498C2×C4—48no—
1499C2×C4—48no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—48no—
1503C2×C4—88no—
1504C2×C4—88no—
1505C2×C4—84no—
1506C2×C4—84no—
1507C2×C4—88no—
1508C2×C4—164no—
1509C2×C4—164no—
1510C2×C4—164no—
1511C2×C4C2×H(5,𝔽2)14yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4#58512yes—
1514C22—28no—
1515C22—24no—
1516C22—24no—
1517C22—28no—
1518C22—28no—
1519C22—24no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—44no—
1524C22—44no—
1525C22—44no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—41no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—168no—
1551C22—1616no—
1552C22C22×H(5,𝔽2)12yes—
1553C22C22×H(5,𝔽2)11yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22H(7,𝔽2)11yescharacteristic
1556C222−1+612yes—
1557C4—22no—
1558C4—42no—
1559C4—44no—
1560C4—42no—
1561C4—44no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—44no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—44no—
1578C4—42no—
1579C4#353214yes—
1580C2—48no—
1581C2—44no—
1582C2—82no—
1583C2—81no—
1584C2—82no—
1585C2—81no—
1586C2C2×#353211yescharacteristic
1587C2#6291811yescharacteristic
1588C2#6292112yes—
1589C2#6304912yes—
1590C2#6306311yescharacteristic
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. #59818C2semidirect
2. #59484C2semidirect
3. #58750C2semidirect
4. #57664C2semidirect
5. #56120C2semidirect
6. #55417C2semidirect
7. #55257C2semidirect
8. #53006C2semidirect
9. #52958C2semidirect
10. #52411C2semidirect
11. #52319C2semidirect
12. #47176C2semidirect
13. #45353C2semidirect
14. #45214C2semidirect
15. #45134C2semidirect
16. #45108C2semidirect
17. #45049C2semidirect
18. #42926C2semidirect
19. #42917C2semidirect
20. #42767C2semidirect
21. #42648C2semidirect
22. #42555C2semidirect
23. #42011C2semidirect
24. #40785C2semidirect
25. #40073C2semidirect
26. #38951C2semidirect
27. #36696C2semidirect
28. #35750C2semidirect
29. #35750C2semidirect
31. C2×#548C22semidirect
34. C2×#547C22semidirect
38. C2×#542C22semidirect
39. C2×#536C22semidirect
40. #2862C22semidirect
41. #2843C22semidirect
42. #2843C22semidirect
43. #2837C22semidirect
44. #2837C22semidirect
45. #2835C22semidirect
46. #2832C22semidirect
47. #2832C22semidirect
48. #2830C22semidirect
49. #2830C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2829C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2827C22semidirect
56. #2826C22semidirect
57. #2824C22semidirect
58. #2823C22semidirect
59. #2818C22semidirect
60. #2816C22semidirect
61. #2814C22semidirect
62. #2814C22semidirect
63. #2811C22semidirect
64. #2795C22semidirect
65. #2781C22semidirect
66. #2778C22semidirect
67. #2765C22semidirect
68. #2764C22semidirect
69. #2764C22semidirect
70. #2764C22semidirect
71. #2756C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2751C22semidirect
75. #2750C22semidirect
76. #2749C22semidirect
77. #2749C22semidirect
78. #2742C22semidirect
79. #2741C22semidirect
80. #2736C22semidirect
81. #2735C22semidirect
82. #2730C22semidirect
83. #2728C22semidirect
84. #2724C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
87. #2717C22semidirect
88. #2712C22semidirect
89. #2712C22semidirect
90. #2710C22semidirect
91. #2710C22semidirect
92. #2708C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2706C22semidirect
96. #2706C22semidirect
97. #2703C22semidirect
98. #2702C22semidirect
99. #2701C22semidirect
100. #2697C22semidirect
101. #2695C22semidirect
102. #2693C22semidirect
103. #2691C22semidirect
104. #2688C22semidirect
105. #2687C22semidirect
106. #2687C22semidirect
107. #2687C22semidirect
108. #2686C22semidirect
109. #2684C22semidirect
110. #2680C22semidirect
111. #2680C22semidirect
112. #2678C22semidirect
113. #2672C22semidirect
114. #2671C22semidirect
115. #2670C22semidirect
116. #2669C22semidirect
117. #2663C22semidirect
118. #2661C22semidirect
119. #2653C22semidirect
120. #2653C22semidirect
121. #2646C22semidirect
122. #2643C22semidirect
123. #2631C22semidirect
124. #2630C22semidirect
125. #2627C22semidirect
126. #2627C22semidirect
127. #2625C22semidirect
128. #2623C22semidirect
129. #2621C22semidirect
130. #2620C22semidirect
135. #2583C22semidirect
136. #2579C22semidirect
137. #2578C22semidirect
138. #2572C22semidirect
139. #2572C22semidirect
140. #2563C22semidirect
141. #2561C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
148. #2542C22semidirect
149. #2542C22semidirect
150. #2536C22semidirect
151. #2536C22semidirect
152. #2535C22semidirect
153. #2534C22semidirect
154. #2518C22semidirect
155. #2514C22semidirect
156. #2510C22semidirect
157. #2505C22semidirect
158. #2502C22semidirect
159. #2502C22semidirect
160. #2495C22semidirect
161. #2495C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2487C22semidirect
167. #2483C22semidirect
168. #2480C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2477C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2464C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2450C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
182. #2446C22semidirect
183. #2437C22semidirect
184. #2437C22semidirect
185. #2437C22semidirect
188. #2434C22semidirect
192. #2432C22semidirect
193. #2431C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2422C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
203. #2420C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2412C22semidirect
213. #2409C22semidirect
214. #2409C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
228. #2404C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
238. #2367C22semidirect
239. #2367C22semidirect
240. #2361C22semidirect
241. #2358C22semidirect
242. #2357C22semidirect
243. #2342C22semidirect
244. #2341C22semidirect
250. #2329C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2311C22semidirect
254. #2311C22semidirect
255. C4×#127C22semidirect
256. C4×#126C22semidirect
257. C4×#124C22semidirect
258. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#598182
#594842
#587502
#576642
#561202
#554172
#552572
#530062
#529582
#524112
#523192
#471762
#453532
#452142
#451342
#451082
#450492
#429262
#429172
#427672
#426482
#425552
#420112
#407852
#400732
#389512
#366962
#357502