Finite Group Databasebeta

← #8398975

Subgroups — #8398975

Order 512.

5221 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C212yesmaximal, complemented
2#59458C212yesmaximal, complemented
3#55464C214yesmaximal, complemented
4#53442C214yesmaximal, complemented
5#51166C214yesmaximal, complemented
6#50849C214yesmaximal, complemented
7#48247C214yesmaximal, complemented
8#47839C214yesmaximal, complemented
9#46056C212yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45357C211yesmaximal, characteristic, complemented
12#45354C211yesmaximal, characteristic, complemented
13#45350C211yesmaximal, characteristic, complemented
14#45041C211yesmaximal, characteristic, complemented
15#44103C214yesmaximal, complemented
16#43116C214yesmaximal, complemented
17#42881C211yesmaximal, characteristic, complemented
18#42427C211yesmaximal, characteristic, complemented
19#40203C212yesmaximal, complemented
20#40177C212yesmaximal, complemented
21#40049C212yesmaximal, complemented
22#39405C212yesmaximal, complemented
23#37322C211yesmaximal, characteristic, complemented
24#36609C211yesmaximal, characteristic, complemented
25#36566C211yesmaximal, characteristic, complemented
26#36496C211yesmaximal, characteristic, complemented
27#36465C211yesmaximal, characteristic, complemented
28#35836C211yesmaximal, characteristic, complemented
29#35741C211yesmaximal, characteristic, complemented
30#35536C211yesmaximal, characteristic, complemented
31#34973C211yesmaximal, characteristic, complemented
32C2×#559C2211yescharacteristic, complemented
33C2×#554C2211yescharacteristic
34C2×#554C2214yescomplemented
35C2×#550C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×#548C2214yescomplemented
38C2×#542C2211yescharacteristic
39C2×#538C2214yes—
40C2×#518C2211yescharacteristic
41#2864C2212yescomplemented
42#2862C2211yescharacteristic, complemented
43#2861C2212yescomplemented
44#2858C2212yes—
45#2858C2212yes—
46#2858C2211yescharacteristic, complemented
47#2830C2214yescomplemented
48#2829C2214yescomplemented
49#2819C2212yes—
50#2817C2212yescomplemented
51#2797C2214yescomplemented
52#2797C2214yescomplemented
53#2777C2214yescomplemented
54#2773C2214yescomplemented
55#2757C2214yescomplemented
56#2754C2214yescomplemented
57#2751C2214yescomplemented
58#2749C2214yes—
59#2740C2214yescomplemented
60#2732C2214yescomplemented
61#2731C2214yescomplemented
62#2730C2214yes—
63#2730C2214yes—
64#2730C2214yescomplemented
65#2723C2214yes—
66#2723C2214yescomplemented
67#2717C2214yescomplemented
68#2715C2214yescomplemented
69#2714C2214yes—
70#2712C2214yes—
71#2711C2214yes—
72#2711C2214yescomplemented
73#2710C2214yescomplemented
74#2708C2214yescomplemented
75#2707C2214yescomplemented
76#2706C2214yescomplemented
77#2705C2214yes—
78#2703C2214yescomplemented
79#2700C2214yes—
80#2700C2214yescomplemented
81#2698C2214yescomplemented
82#2692C2214yescomplemented
83#2692C2214yescomplemented
84#2692C2214yescomplemented
85#2689C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2686C2214yescomplemented
89#2685C2214yes—
90#2684C2214yes—
91#2682C2214yes—
92#2681C2214yescomplemented
93#2678C2214yes—
94#2676C2214yes—
95#2674C2214yes—
96#2674C2214yescomplemented
97#2672C2214yescomplemented
98#2670C2214yes—
99#2663C2212yes—
100#2662C2212yescomplemented
101#2651C2214yes—
102#2648C2214yes—
103#2636C2212yescomplemented
104#2635C2212yes—
105#2631C2214yes—
106#2630C2214yes—
107#2628C2211yescharacteristic
108#2626C2212yes—
109#2619C2211yescharacteristic
110#2614C2212yes—
111#2600C2214yescomplemented
112#2600C2214yescomplemented
113#2592C2214yescomplemented
114#2589C2214yescomplemented
115#2581C2211yescharacteristic, complemented
116#2580C2211yescharacteristic
117#2580C2211yescharacteristic
118#2580C2211yescharacteristic, complemented
119#2580C2214yescomplemented
120#2574C2214yescomplemented
121#2567C2211yescharacteristic, complemented
122#2566C2212yescomplemented
123#2564C2212yes—
124#2563C2211yescharacteristic
125#2556C2214yescomplemented
126#2552C2212yescomplemented
127#2551C2212yescomplemented
128#2550C2212yescomplemented
129#2548C2212yescomplemented
130#2544C2212yes—
131#2544C2212yes—
132#2544C2211yescharacteristic
133#2544C2211yescharacteristic
134#2543C2214yescomplemented
135#2542C2211yescharacteristic
136#2542C2211yescharacteristic
137#2542C2212yescomplemented
138#2541C2212yes—
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2541C2211yescharacteristic, complemented
142#2540C2212yes—
143#2540C2214yescomplemented
144#2540C2214yescomplemented
145#2540C2214yescomplemented
146#2539C2212yes—
147#2524C2212yescomplemented
148#2524C2212yescomplemented
149#2519C2212yes—
150#2519C2212yes—
151#2519C2214yescomplemented
152#2513C2212yes—
153#2513C2212yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yes—
157#2504C2214yescomplemented
158#2500C2211yescharacteristic
159#2499C2211yescharacteristic
160#2492C2212yes—
161#2491C2212yes—
162#2490C2214yescomplemented
163#2487C2212yes—
164#2472C2214yes—
165#2472C2214yes—
166#2469C2212yes—
167#2469C2212yes—
168#2467C2214yes—
169#2465C2214yescomplemented
170#2465C2214yescomplemented
171#2464C2214yes—
172#2464C2214yescomplemented
173#2463C2214yes—
174#2462C2212yescomplemented
175#2462C2212yescomplemented
176#2461C2214yescomplemented
177#2461C2214yescomplemented
178#2460C2214yescomplemented
179#2459C2214yes—
180#2456C2214yes—
181#2454C2212yes—
182#2454C2212yescomplemented
183#2454C2214yescomplemented
184#2452C2212yes—
185#2452C2212yes—
186#2452C2214yescomplemented
187#2452C2212yescomplemented
188#2452C2212yescomplemented
189#2451C2212yescomplemented
190#2449C2214yes—
191#2449C2214yescomplemented
192#2449C2214yescomplemented
193#2449C2214yescomplemented
194#2448C2214yes—
195#2448C2212yes—
196#2448C2214yescomplemented
197#2447C2214yescomplemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2445C2212yes—
201#2445C2212yes—
202#2445C2212yescomplemented
203#2443C2214yes—
204#2443C2214yescomplemented
205#2441C2212yes—
206#2437C2214yes—
207#2435C2211yescharacteristic
208#2434C2212yescomplemented
209#2433C2212yes—
210#2433C2211yescharacteristic
211#2428C2212yes—
212#2426C2212yes—
213#2426C2214yescomplemented
214#2424C2214yes—
215#2424C2214yes—
216#2422C2212yes—
217#2420C2212yes—
218#2420C2214yescomplemented
219#2418C2214yes—
220#2409C2214yescomplemented
221#2406C2214yescomplemented
222#2404C2212yes—
223#2402C2211yescharacteristic, complemented
224#2399C2211yescharacteristic, complemented
225#2396C2211yescharacteristic
226#2396C2211yescharacteristic
227C2×#399C2212yes—
228#2388C2212yes—
229#2377C2214yescomplemented
230#2376C2214yescomplemented
231#2368C2214yescomplemented
232#2367C2214yescomplemented
233#2366C2212yes—
234#2366C2212yes—
235#2366C2212yes—
236#2363C2212yes—
237#2361C2214yescomplemented
238#2361C2214yescomplemented
239#2357C2211yescharacteristic
240#2357C2211yescharacteristic, complemented
241#2355C2212yescomplemented
242#2351C2211yescharacteristic, complemented
243#2349C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yescomplemented
246D4×C22⋊C4C2212yes—
247#2332C2214yescomplemented
248#2331C2211yescharacteristic, complemented
249#2328C2211yescharacteristic
250#2328C2211yescharacteristic, complemented
251#2326C2211yescharacteristic
252#2322C2214yescomplemented
253#2321C2214yes—
254C4×C4⋊Q8C2212yescomplemented
255C4×#127C2211yescharacteristic
256C4×#127C2212yes—
257C4×#127C2212yescomplemented
258C4×#125C2212yescomplemented
259C4×#125C2212yescomplemented
260C4×#126C2212yes—
261C4×#126C2212yes—
262C4×#124C2212yes—
263C4×#124C2211yescharacteristic
264#2298C2211yescharacteristic
265C42×Q8C2211yescharacteristic, complemented
266C42×Q8C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C23×Q8C2312yes—
269C23×D4C2311yescharacteristic
270#559—44no—
271#554—44no—
272#554—416no—
273#550—44no—
274D4×Q8—44no—
275#548—416no—
276#542—44no—
277#538—416no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#126C2312yes—
290C2×#126C2312yes—
291C2×#126C2312yes—
292C2×#126C2314yes—
293C2×#125C2312yes—
294C2×#125C2312yes—
295C2×#125C2312yes—
296C2×#125C2314yes—
297C2×#124C2311yescharacteristic
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2311yescharacteristic
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2311yescharacteristic
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343#518—44no—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381#400C2311yescharacteristic
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2311yescharacteristic
386#400C2312yes—
387#400C2312yes—
388#399C2312yes—
389#399C2314yes—
390#399C2312yes—
391#399C2312yes—
392#399C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2312yes—
397#399C2311yescharacteristic
398#399C2314yes—
399#399C2314yes—
400#399C2311yescharacteristic
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2312yes—
444#395C2314yes—
445#395C2312yes—
446#395C2311yescharacteristic
447#395C2312yes—
448#395C2314yes—
449#395C2312yes—
450#395C2314yes—
451#395C2311yescharacteristic
452#395C2312yes—
453#395C2312yes—
454#395C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2311yescharacteristic
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#393C2314yes—
484#393C2312yes—
485#393C2314yes—
486#393C2311yescharacteristic
487#393C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#392C2312yes—
492#392C2314yes—
493#392C2312yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
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#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#383C2312yes—
680#383C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#381C2312yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#379C2314yes—
703#379C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2311yescharacteristic
731C4×C22⋊C4C2311yescharacteristic
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738#376C2311yescharacteristic
739C2×#95C2312yes—
740C43C2312yes—
741C43C2312yes—
742C43C2311yescharacteristic
743C25C2412yes—
744C2×#41—48no—
745C2×#41—44no—
746C22×Q8—48no—
747C22×Q8—44no—
748C22×Q8C2411yescharacteristic
749C22×Q8C2411yescharacteristic
750C22×Q8C2411yescharacteristic
751C22×Q8C2414yes—
752C22×Q8C2412yes—
753C22×Q8C2414yes—
754C22×Q8C2412yes—
755C22×D4—24no—
756C22×D4—42no—
757C22×D4—42no—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2414yes—
762C22×D4C2411yescharacteristic
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C4⋊Q8—24no—
788C4⋊Q8—44no—
789C4⋊Q8—42no—
790C4⋊Q8—44no—
791C4⋊Q8—48no—
792#127—28no—
793#127—24no—
794#127—24no—
795#127—44no—
796#127—42no—
797#127—44no—
798#126—28no—
799#126—44no—
800#126—44no—
801#126—48no—
802#125—28no—
803#125—44no—
804#125—44no—
805#125—48no—
806#124—24no—
807#124—48no—
808#124—44no—
809#124—48no—
810#124—48no—
811#124—42no—
812#124—48no—
813#124—42no—
814#124—48no—
815#124—44no—
816#124—44no—
817#124—48no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—44no—
822#123—48no—
823#123—48no—
824C22⋊Q8—216no—
825C22⋊Q8—216no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834C22⋊Q8—44no—
835C22⋊Q8—42no—
836C22⋊Q8—44no—
837C22⋊Q8—44no—
838#121—216no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—48no—
847#121—42no—
848#121—44no—
849#120—48no—
850#120—48no—
851#120—48no—
852C4×Q8—28no—
853C4×Q8—24no—
854C4×Q8—24no—
855C4×Q8—24no—
856C4×Q8—44no—
857C4×Q8—44no—
858C4×Q8—48no—
859C4×D4—24no—
860C4×D4—24no—
861C4×D4—24no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4—42no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—48no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—48no—
881#117—24no—
882#117—42no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—48no—
885C2×C4⋊C4—48no—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031#95C2411yescharacteristic
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2411yescharacteristic
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087C24—24no—
1088C24—42no—
1089C24—42no—
1090C24—44no—
1091C24—44no—
1092C24C2511yescharacteristic
1093C24C2512yes—
1094C24C2514yes—
1095C24C2512yes—
1096C24C2512yes—
1097#41—816no—
1098C2×Q8—24no—
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—28no—
1103C2×Q8—28no—
1104C2×Q8—24no—
1105C2×Q8—22no—
1106C2×Q8—22no—
1107C2×Q8—42no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×Q8—42no—
1115C2×Q8—816no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—416no—
1164C2×D42−1+414yes—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—24no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—28no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4H(5,𝔽2)18yes—
1278C22⋊C4—28no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—22no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—42no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42H(5,𝔽2)14yes—
1364C23—24no—
1365C23—22no—
1366C23—22no—
1367C23—24no—
1368C23—22no—
1369C23—21no—
1370C23—24no—
1371C23—22no—
1372C23—24no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—24no—
1377C23—21no—
1378C23—24no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—21no—
1389C23—22no—
1390C23—48no—
1391C23—88no—
1392C23—164no—
1393C23—162no—
1394C23—162no—
1395C23C2×2−1+414yes—
1396C23C2611yescharacteristic
1397Q8—28no—
1398Q8—44no—
1399Q8—44no—
1400Q8—88no—
1401Q8—84no—
1402Q8—88no—
1403Q8—162no—
1404D4—28no—
1405D4—416no—
1406D4—48no—
1407D4—44no—
1408D4—48no—
1409D4—44no—
1410D4—88no—
1411D4—88no—
1412D4—84no—
1413D4—84no—
1414D4—88no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418D4—164no—
1419D4—162no—
1420D4—164no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—44no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4—84no—
1487C2×C4—88no—
1488C2×C4—84no—
1489C2×C4—88no—
1490C2×C4—162no—
1491C2×C4—164no—
1492C2×C4—164no—
1493C2×C4—162no—
1494C2×C4C2×H(5,𝔽2)14yes—
1495C2×C4C2×H(5,𝔽2)12yes—
1496C2×C4C2×H(5,𝔽2)14yes—
1497C2×C4C2×H(5,𝔽2)14yes—
1498C2×C4C2×H(5,𝔽2)12yes—
1499C2×C4C2×H(5,𝔽2)12yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58514yes—
1502C2×C4#58512yes—
1503C22—24no—
1504C22—28no—
1505C22—44no—
1506C22—42no—
1507C22—42no—
1508C22—41no—
1509C22—42no—
1510C22—42no—
1511C22—44no—
1512C22—44no—
1513C22—44no—
1514C22—44no—
1515C22—44no—
1516C22—42no—
1517C22—44no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22—42no—
1522C22—42no—
1523C22—44no—
1524C22—42no—
1525C22—41no—
1526C22—42no—
1527C22—44no—
1528C22—42no—
1529C22—41no—
1530C22—168no—
1531C22C22×H(5,𝔽2)11yescharacteristic
1532C22C22×H(5,𝔽2)12yes—
1533C22C22×2−1+411yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22C2×#58512yes—
1536C4—24no—
1537C4—24no—
1538C4—24no—
1539C4—24no—
1540C4—22no—
1541C4—22no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4#354114yes—
1562C2—44no—
1563C2—84no—
1564C2—82no—
1565C2—82no—
1566C2—81no—
1567C2C2×#354111yescharacteristic
1568C2#6283211yescharacteristic
1569C2#6283611yescharacteristic
1570C2#6301512yes—
1571C2#6302112yes—
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. #59647C2semidirect
2. #59458C2semidirect
3. #55464C2semidirect
4. #53442C2semidirect
5. #51166C2semidirect
6. #50849C2semidirect
7. #48247C2semidirect
8. #47839C2semidirect
9. #46056C2semidirect
10. #46044C2semidirect
11. #45357C2semidirect
12. #45354C2semidirect
13. #45350C2semidirect
14. #45041C2semidirect
15. #44103C2semidirect
16. #43116C2semidirect
17. #42881C2semidirect
18. #42427C2semidirect
19. #40203C2semidirect
20. #40177C2semidirect
21. #40049C2semidirect
22. #39405C2semidirect
23. #37322C2semidirect
24. #36609C2semidirect
25. #36566C2semidirect
26. #36496C2semidirect
27. #36465C2semidirect
28. #35836C2semidirect
29. #35741C2semidirect
30. #35536C2semidirect
31. #34973C2semidirect
32. C2×#559C22semidirect
34. C2×#554C22semidirect
36. C2×D4×Q8C22semidirect
37. C2×#548C22semidirect
41. #2864C22semidirect
42. #2862C22semidirect
43. #2861C22semidirect
46. #2858C22semidirect
47. #2830C22semidirect
48. #2829C22semidirect
50. #2817C22semidirect
51. #2797C22semidirect
52. #2797C22semidirect
53. #2777C22semidirect
54. #2773C22semidirect
55. #2757C22semidirect
56. #2754C22semidirect
57. #2751C22semidirect
59. #2740C22semidirect
60. #2732C22semidirect
61. #2731C22semidirect
64. #2730C22semidirect
66. #2723C22semidirect
67. #2717C22semidirect
68. #2715C22semidirect
72. #2711C22semidirect
73. #2710C22semidirect
74. #2708C22semidirect
75. #2707C22semidirect
76. #2706C22semidirect
78. #2703C22semidirect
80. #2700C22semidirect
81. #2698C22semidirect
82. #2692C22semidirect
83. #2692C22semidirect
84. #2692C22semidirect
85. #2689C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
88. #2686C22semidirect
92. #2681C22semidirect
96. #2674C22semidirect
97. #2672C22semidirect
100. #2662C22semidirect
103. #2636C22semidirect
111. #2600C22semidirect
112. #2600C22semidirect
113. #2592C22semidirect
114. #2589C22semidirect
115. #2581C22semidirect
118. #2580C22semidirect
119. #2580C22semidirect
120. #2574C22semidirect
121. #2567C22semidirect
122. #2566C22semidirect
125. #2556C22semidirect
126. #2552C22semidirect
127. #2551C22semidirect
128. #2550C22semidirect
129. #2548C22semidirect
134. #2543C22semidirect
137. #2542C22semidirect
141. #2541C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
147. #2524C22semidirect
148. #2524C22semidirect
151. #2519C22semidirect
153. #2513C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
157. #2504C22semidirect
162. #2490C22semidirect
169. #2465C22semidirect
170. #2465C22semidirect
172. #2464C22semidirect
174. #2462C22semidirect
175. #2462C22semidirect
176. #2461C22semidirect
177. #2461C22semidirect
178. #2460C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
186. #2452C22semidirect
187. #2452C22semidirect
188. #2452C22semidirect
189. #2451C22semidirect
191. #2449C22semidirect
192. #2449C22semidirect
193. #2449C22semidirect
196. #2448C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
202. #2445C22semidirect
204. #2443C22semidirect
208. #2434C22semidirect
213. #2426C22semidirect
218. #2420C22semidirect
220. #2409C22semidirect
221. #2406C22semidirect
223. #2402C22semidirect
224. #2399C22semidirect
229. #2377C22semidirect
230. #2376C22semidirect
231. #2368C22semidirect
232. #2367C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
240. #2357C22semidirect
241. #2355C22semidirect
242. #2351C22semidirect
245. D4×C4⋊C4C22semidirect
247. #2332C22semidirect
248. #2331C22semidirect
250. #2328C22semidirect
252. #2322C22semidirect
254. C4×C4⋊Q8C22semidirect
257. C4×#127C22semidirect
258. C4×#125C22semidirect
259. C4×#125C22semidirect
265. C42×Q8C22semidirect
266. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#594582
#554642
#534422
#511662
#508492
#482472
#478392
#460562
#460442
#453572
#453542
#453502
#450412
#441032
#431162
#428812
#424272
#402032
#401772
#400492
#394052
#373222
#366092
#365662
#364962
#364652
#358362
#357412
#355362
#349732