Finite Group Databasebeta

← #8657015

Subgroups — #8657015

Order 512.

5670 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59148C212yesmaximal, complemented
2#57219C214yesmaximal, complemented
3#56658C212yesmaximal, complemented
4#55257C214yesmaximal, complemented
5#52990C211yesmaximal, characteristic, complemented
6#48675C214yesmaximal, complemented
7#48511C214yesmaximal, complemented
8#48501C214yesmaximal, complemented
9#47394C214yesmaximal, complemented
10#47141C212yesmaximal, complemented
11#46061C212yesmaximal, complemented
12#45697C211yesmaximal, characteristic, complemented
13#45321C211yesmaximal, characteristic, complemented
14#44874C212yesmaximal, complemented
15#43175C212yesmaximal, complemented
16#42787C212yesmaximal, complemented
17#42680C211yesmaximal, characteristic, complemented
18#40638C212yesmaximal, complemented
19#40073C212yesmaximal, complemented
20#40032C212yesmaximal, complemented
21#39439C212yesmaximal, complemented
22#39070C212yesmaximal, complemented
23#38918C211yesmaximal, characteristic, complemented
24#37391C212yesmaximal, complemented
25D4×#124C212yesmaximal, complemented
26#35680C211yesmaximal, characteristic
27#35616C212yesmaximal, complemented
28#35046C212yesmaximal, complemented
29#34906C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#556C2211yescharacteristic, complemented
32C2×D4×Q8C2212yescomplemented
33C2×#546C2211yescharacteristic
34C2×D42C2212yes—
35C2×#542C2212yescomplemented
36C2×#536C2212yescomplemented
37C2×#536C2212yescomplemented
38C22×#124C2212yes—
39C22×#124C2211yescharacteristic, complemented
40#2862C2212yescomplemented
41#2860C2212yescomplemented
42#2858C2212yescomplemented
43#2855C2211yescharacteristic, complemented
44#2850C2212yescomplemented
45#2850C2212yescomplemented
46#2840C2212yescomplemented
47#2832C2214yescomplemented
48#2829C2214yescomplemented
49#2826C2212yescomplemented
50#2824C2212yescomplemented
51#2816C2212yescomplemented
52#2814C2214yescomplemented
53#2803C2214yescomplemented
54#2797C2214yescomplemented
55#2795C2214yescomplemented
56#2781C2214yescomplemented
57#2778C2214yescomplemented
58#2765C2214yescomplemented
59#2764C2214yescomplemented
60#2756C2214yescomplemented
61#2756C2214yescomplemented
62#2752C2212yescomplemented
63#2751C2214yescomplemented
64#2740C2214yescomplemented
65#2736C2214yescomplemented
66#2736C2212yescomplemented
67#2735C2214yescomplemented
68#2735C2214yescomplemented
69#2732C2214yescomplemented
70#2729C2214yescomplemented
71#2729C2214yescomplemented
72#2728C2214yescomplemented
73#2723C2214yescomplemented
74#2723C2214yescomplemented
75#2718C2214yescomplemented
76#2717C2214yescomplemented
77#2716C2214yescomplemented
78#2715C2214yescomplemented
79#2712C2214yescomplemented
80#2712C2212yescomplemented
81#2710C2214yescomplemented
82#2710C2214yescomplemented
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2705C2214yescomplemented
86#2702C2214yescomplemented
87#2700C2214yescomplemented
88#2697C2212yescomplemented
89#2697C2214yescomplemented
90#2697C2214yescomplemented
91#2696C2214yescomplemented
92#2696C2214yescomplemented
93#2693C2214yescomplemented
94#2692C2214yescomplemented
95#2692C2214yescomplemented
96#2686C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2684C2214yescomplemented
102#2684C2214yescomplemented
103#2681C2214yescomplemented
104#2680C2212yescomplemented
105#2677C2212yescomplemented
106#2674C2214yescomplemented
107#2663C2214yescomplemented
108#2658C2211yescharacteristic, complemented
109#2653C2214yescomplemented
110#2653C2214yescomplemented
111#2653C2214yescomplemented
112#2640C2212yescomplemented
113#2636C2214yescomplemented
114#2630C2214yescomplemented
115#2626C2212yescomplemented
116#2625C2212yescomplemented
117#2624C2212yescomplemented
118#2622C2212yescomplemented
119#2615C2211yescharacteristic
120#2613C2212yes—
121#2607C2211yescharacteristic, complemented
122#2602C2214yescomplemented
123#2602C2212yescomplemented
124#2600C2211yescharacteristic, complemented
125#2595C2214yescomplemented
126#2595C2214yescomplemented
127#2595C2212yescomplemented
128#2592C2212yescomplemented
129#2592C2211yescharacteristic, complemented
130#2589C2214yescomplemented
131#2588C2212yescomplemented
132#2578C2214yescomplemented
133#2578C2212yescomplemented
134#2576C2214yescomplemented
135#2561C2214yescomplemented
136#2560C2214yescomplemented
137#2560C2212yescomplemented
138#2559C2214yescomplemented
139#2557C2214yescomplemented
140#2557C2214yescomplemented
141#2554C2214yescomplemented
142#2551C2212yescomplemented
143#2548C2212yescomplemented
144#2547C2212yescomplemented
145#2547C2212yescomplemented
146#2546C2212yescomplemented
147#2545C2212yescomplemented
148#2545C2212yescomplemented
149#2544C2212yescomplemented
150#2542C2211yescharacteristic, complemented
151#2523C2211yescharacteristic, complemented
152#2521C2214yescomplemented
153#2518C2214yescomplemented
154#2518C2214yescomplemented
155#2514C2212yescomplemented
156#2513C2212yescomplemented
157#2505C2214yescomplemented
158#2492C2214yescomplemented
159#2492C2212yescomplemented
160#2491C2214yescomplemented
161#2491C2214yescomplemented
162#2491C2212yescomplemented
163#2483C2212yescomplemented
164#2482C2212yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2474C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2467C2212yescomplemented
175#2463C2211yescharacteristic, complemented
176#2461C2214yescomplemented
177#2459C2214yescomplemented
178#2455C2212yescomplemented
179#2452C2212yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2447C2212yescomplemented
183#2446C2212yescomplemented
184#2445C2212yescomplemented
185#2439C2212yescomplemented
186#2437C2214yescomplemented
187#2436C2212yescomplemented
188#2436C2212yescomplemented
189#2435C2212yes—
190#2435C2212yes—
191#2435C2212yescomplemented
192#2435C2214yescomplemented
193#2435C2214yescomplemented
194#2435C2212yescomplemented
195#2435C2212yescomplemented
196#2435C2214yescomplemented
197#2434C2211yescharacteristic, complemented
198#2434C2212yescomplemented
199#2433C2211yescharacteristic
200#2432C2212yes—
201#2432C2212yes—
202#2432C2212yescomplemented
203#2432C2214yescomplemented
204#2432C2214yescomplemented
205#2432C2212yescomplemented
206#2431C2212yes—
207#2430C2212yes—
208#2429C2212yescomplemented
209#2429C2212yescomplemented
210#2427C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2421C2212yescomplemented
214#2415C2212yescomplemented
215#2412C2212yescomplemented
216#2410C2214yes—
217#2409C2211yescharacteristic, complemented
218#2408C2211yescharacteristic
219#2407C2212yes—
220#2405C2214yescomplemented
221#2405C2214yescomplemented
222#2405C2214yescomplemented
223#2405C2214yescomplemented
224#2405C2214yescomplemented
225#2404C2212yes—
226#2403C2214yes—
227#2398C2211yescharacteristic, complemented
228#2395C2212yescomplemented
229#2388C2211yescharacteristic
230C2×#392C2212yes—
231#2375C2214yescomplemented
232#2375C2212yescomplemented
233#2367C2212yescomplemented
234#2363C2212yescomplemented
235#2362C2212yescomplemented
236#2342C2214yescomplemented
237Q8×C22⋊C4C2212yescomplemented
238#2339C2211yescharacteristic
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2211yescharacteristic, complemented
241D4×C22⋊C4C2214yescomplemented
242D4×C22⋊C4C2214yescomplemented
243#2337C2214yescomplemented
244#2335C2214yescomplemented
245#2334C2214yescomplemented
246#2329C2214yescomplemented
247#2319C2211yescharacteristic, complemented
248#2315C2212yescomplemented
249#2309C2212yes—
250C4×#126C2212yescomplemented
251C4×#124C2212yescomplemented
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#123C2211yescharacteristic, complemented
255#2298C2212yescomplemented
256#2297C2212yescomplemented
257#2297C2212yescomplemented
258C42×D4C2212yescomplemented
259C2×H(5,𝔽2)—44no—
260C2×H(5,𝔽2)—48no—
261C22×#41C2311yescharacteristic
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C22×#41C2312yes—
265C23×Q8C2312yes—
266C23×Q8C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C23×D4C2314yes—
271C23×D4C2311yescharacteristic
272C23×D4C2314yes—
273#556—44no—
274D4×Q8—48no—
275#546—44no—
276D42—48no—
277#542—48no—
278#536—48no—
279#536—48no—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2314yes—
285C2×C4⋊Q8C2314yes—
286C2×C4⋊Q8C2312yes—
287C2×#127C2312yes—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#124—48no—
293C2×#124—44no—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2311yescharacteristic
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#123C2314yes—
310C2×#123C2311yescharacteristic
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2314yes—
336C2×#120C2314yes—
337C2×#120C2312yes—
338C2×#120C2312yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#399C2312yes—
374#399C2312yes—
375#399C2312yes—
376#399C2314yes—
377#399C2314yes—
378#399C2312yes—
379#399C2312yes—
380#399C2314yes—
381#398C2312yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#397C2312yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2312yes—
400#397C2311yescharacteristic
401#397C2314yes—
402#397C2314yes—
403#397C2311yescharacteristic
404#397C2312yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#395C2312yes—
423#395C2311yescharacteristic
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#394C2312yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2311yescharacteristic
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2311yescharacteristic
464#393C2314yes—
465#393C2312yes—
466#393C2314yes—
467#393C2314yes—
468#393C2311yescharacteristic
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2312yes—
475#393C2311yescharacteristic
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2312yes—
481#392C2312yes—
482#392C2311yescharacteristic
483#392C2314yes—
484#392C2312yes—
485#392C2312yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
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#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#386C2314yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2311yescharacteristic
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#385C2312yes—
632#385C2311yescharacteristic
633#385C2312yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2312yes—
654#383C2312yes—
655#383C2314yes—
656#382C2314yes—
657#382C2314yes—
658#382C2312yes—
659#381C2312yes—
660#381C2314yes—
661#381C2312yes—
662#381C2312yes—
663#381C2311yescharacteristic
664#380C2314yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2312yes—
671#380C2311yescharacteristic
672#380C2314yes—
673#380C2311yescharacteristic
674#380C2314yes—
675#379C2314yes—
676#379C2314yes—
677#379C2314yes—
678#379C2314yes—
679#379C2312yes—
680#379C2314yes—
681#379C2312yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720#376C2311yescharacteristic
721C2×#95C2312yes—
722C43C2312yes—
723C25C2412yes—
724C25C2414yes—
725C25C2412yes—
726H(5,𝔽2)—464no—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—42no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—48no—
736C22×Q8—28no—
737C22×Q8—44no—
738C22×Q8—42no—
739C22×Q8—44no—
740C22×Q8—44no—
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2411yescharacteristic
745C22×Q8C2414yes—
746C22×Q8C2411yescharacteristic
747C22×Q8C2412yes—
748C22×Q8C2414yes—
749C22×D4—28no—
750C22×D4—24no—
751C22×D4—28no—
752C22×D4—44no—
753C22×D4—42no—
754C22×D4—48no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—48no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2411yescharacteristic
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C4⋊Q8—44no—
796C4⋊Q8—44no—
797C4⋊Q8—44no—
798C4⋊Q8—44no—
799C4⋊Q8—42no—
800C4⋊Q8—48no—
801C4⋊Q8—48no—
802#127—44no—
803#126—48no—
804#126—48no—
805#126—44no—
806#126—48no—
807#124—28no—
808#124—28no—
809#124—44no—
810#124—44no—
811#124—44no—
812#124—44no—
813#124—44no—
814#124—44no—
815#124—42no—
816#124—48no—
817#124—48no—
818#124—48no—
819#124—48no—
820#124—48no—
821#124—48no—
822#123—48no—
823#123—48no—
824#123—42no—
825#123—48no—
826#123—48no—
827#123—44no—
828#123—48no—
829#123—48no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—48no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—48no—
836C22⋊Q8—48no—
837C22⋊Q8—48no—
838C22⋊Q8—48no—
839C22⋊Q8—48no—
840C22⋊Q8—44no—
841C22⋊Q8—44no—
842C22⋊Q8—42no—
843C22⋊Q8—44no—
844#121—28no—
845#121—48no—
846#121—44no—
847#121—42no—
848#121—44no—
849#120—48no—
850#120—48no—
851#120—48no—
852#120—44no—
853#120—44no—
854C4×Q8—42no—
855C4×Q8—44no—
856C4×Q8—44no—
857C4×Q8—44no—
858C4×D4—24no—
859C4×D4—28no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—42no—
864C4×D4—44no—
865C4×D4—48no—
866#117—28no—
867#117—44no—
868#117—44no—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C22⋊C4—48no—
910C2×C22⋊C4—44no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—44no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2411yescharacteristic
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C42—42no—
990C2×C42—44no—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010#95C2411yescharacteristic
1011#95C2412yes—
1012#95C2414yes—
1013#95C2411yescharacteristic
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2411yescharacteristic
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—24no—
1066C24—28no—
1067C24—28no—
1068C24—24no—
1069C24—44no—
1070C24—44no—
1071C24—42no—
1072C24—42no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—42no—
1081C24—42no—
1082C24C2511yescharacteristic
1083C24C2514yes—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2512yes—
1087C24C2511yescharacteristic
1088#41—416no—
1089#41—432no—
1090#41—416no—
1091#41—432no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—24no—
1097C2×Q8—22no—
1098C2×Q8—24no—
1099C2×Q8—24no—
1100C2×Q8—24no—
1101C2×Q8—28no—
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—44no—
1105C2×Q8—42no—
1106C2×Q8—44no—
1107C2×Q8—42no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—816no—
1113C2×Q8—88no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—22no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—432no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—41no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—41no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—464no—
1159C2×D4—432no—
1160C2×D4—416no—
1161C2×D4—88no—
1162C2×D4—832no—
1163C2×D4H(5,𝔽2)14yes—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—28no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4H(5,𝔽2)18yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2514yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—42no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—41no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—22no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—41no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—41no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—41no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—24no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C42—42no—
1347C42—42no—
1348C42—44no—
1349C42—44no—
1350C42—42no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—42no—
1355C23—22no—
1356C23—21no—
1357C23—22no—
1358C23—24no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—21no—
1369C23—24no—
1370C23—22no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—21no—
1375C23—24no—
1376C23—24no—
1377C23—22no—
1378C23—21no—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—22no—
1383C23—22no—
1384C23—21no—
1385C23—24no—
1386C23—416no—
1387C23—48no—
1388C23—48no—
1389C23—88no—
1390C23—88no—
1391C23—84no—
1392C23—84no—
1393C23—88no—
1394C23—88no—
1395C23—88no—
1396C23—164no—
1397C23—164no—
1398C23—164no—
1399C23—162no—
1400C23—164no—
1401C23—162no—
1402C23—164no—
1403C23C2×H(5,𝔽2)14yes—
1404C23C2×H(5,𝔽2)14yes—
1405C23#58512yes—
1406C23C2611yescharacteristic
1407Q8—44no—
1408Q8—48no—
1409Q8—48no—
1410Q8—44no—
1411Q8—88no—
1412Q8—82no—
1413Q8—84no—
1414Q8—164no—
1415D4—216no—
1416D4—28no—
1417D4—48no—
1418D4—416no—
1419D4—44no—
1420D4—416no—
1421D4—48no—
1422D4—48no—
1423D4—48no—
1424D4—44no—
1425D4—88no—
1426D4—82no—
1427D4—88no—
1428D4—88no—
1429D4—84no—
1430D4—162no—
1431D4—164no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—216no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—416no—
1493C2×C4—48no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—88no—
1497C2×C4—84no—
1498C2×C4—82no—
1499C2×C4—88no—
1500C2×C4—82no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—164no—
1505C2×C4C2×H(5,𝔽2)14yes—
1506C2×C4C2×H(5,𝔽2)12yes—
1507C2×C4C2×H(5,𝔽2)14yes—
1508C2×C4#58514yes—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—22no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—41no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—42no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—41no—
1527C22—42no—
1528C22—44no—
1529C22—44no—
1530C22—44no—
1531C22—44no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—44no—
1536C22—44no—
1537C22—44no—
1538C22—42no—
1539C22—44no—
1540C22—44no—
1541C22—41no—
1542C22—42no—
1543C22—168no—
1544C22—1616no—
1545C22—168no—
1546C22C22×H(5,𝔽2)11yescharacteristic
1547C22C22×H(5,𝔽2)12yes—
1548C22C2×#58512yes—
1549C22C2×#58511yescharacteristic
1550C222−1+611yescharacteristic
1551C4—24no—
1552C4—24no—
1553C4—42no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4—41no—
1571C4—44no—
1572C4—44no—
1573C4#353214yes—
1574C2—44no—
1575C2—42no—
1576C2—44no—
1577C2—82no—
1578C2—81no—
1579C2—84no—
1580C2C2×#353211yescharacteristic
1581C2#6282412yes—
1582C2#6289811yescharacteristic
1583C2#6293112yes—
1584C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35680C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59148C2semidirect
2. #57219C2semidirect
3. #56658C2semidirect
4. #55257C2semidirect
5. #52990C2semidirect
6. #48675C2semidirect
7. #48511C2semidirect
8. #48501C2semidirect
9. #47394C2semidirect
10. #47141C2semidirect
11. #46061C2semidirect
12. #45697C2semidirect
13. #45321C2semidirect
14. #44874C2semidirect
15. #43175C2semidirect
16. #42787C2semidirect
17. #42680C2semidirect
18. #40638C2semidirect
19. #40073C2semidirect
20. #40032C2semidirect
21. #39439C2semidirect
22. #39070C2semidirect
23. #38918C2semidirect
24. #37391C2semidirect
25. D4×#124C2semidirect
27. #35616C2semidirect
28. #35046C2semidirect
29. #34906C2semidirect
31. C2×#556C22semidirect
32. C2×D4×Q8C22semidirect
35. C2×#542C22semidirect
36. C2×#536C22semidirect
37. C2×#536C22semidirect
39. C22×#124C22semidirect
40. #2862C22semidirect
41. #2860C22semidirect
42. #2858C22semidirect
43. #2855C22semidirect
44. #2850C22semidirect
45. #2850C22semidirect
46. #2840C22semidirect
47. #2832C22semidirect
48. #2829C22semidirect
49. #2826C22semidirect
50. #2824C22semidirect
51. #2816C22semidirect
52. #2814C22semidirect
53. #2803C22semidirect
54. #2797C22semidirect
55. #2795C22semidirect
56. #2781C22semidirect
57. #2778C22semidirect
58. #2765C22semidirect
59. #2764C22semidirect
60. #2756C22semidirect
61. #2756C22semidirect
62. #2752C22semidirect
63. #2751C22semidirect
64. #2740C22semidirect
65. #2736C22semidirect
66. #2736C22semidirect
67. #2735C22semidirect
68. #2735C22semidirect
69. #2732C22semidirect
70. #2729C22semidirect
71. #2729C22semidirect
72. #2728C22semidirect
73. #2723C22semidirect
74. #2723C22semidirect
75. #2718C22semidirect
76. #2717C22semidirect
77. #2716C22semidirect
78. #2715C22semidirect
79. #2712C22semidirect
80. #2712C22semidirect
81. #2710C22semidirect
82. #2710C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
85. #2705C22semidirect
86. #2702C22semidirect
87. #2700C22semidirect
88. #2697C22semidirect
89. #2697C22semidirect
90. #2697C22semidirect
91. #2696C22semidirect
92. #2696C22semidirect
93. #2693C22semidirect
94. #2692C22semidirect
95. #2692C22semidirect
96. #2686C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2684C22semidirect
102. #2684C22semidirect
103. #2681C22semidirect
104. #2680C22semidirect
105. #2677C22semidirect
106. #2674C22semidirect
107. #2663C22semidirect
108. #2658C22semidirect
109. #2653C22semidirect
110. #2653C22semidirect
111. #2653C22semidirect
112. #2640C22semidirect
113. #2636C22semidirect
114. #2630C22semidirect
115. #2626C22semidirect
116. #2625C22semidirect
117. #2624C22semidirect
118. #2622C22semidirect
121. #2607C22semidirect
122. #2602C22semidirect
123. #2602C22semidirect
124. #2600C22semidirect
125. #2595C22semidirect
126. #2595C22semidirect
127. #2595C22semidirect
128. #2592C22semidirect
129. #2592C22semidirect
130. #2589C22semidirect
131. #2588C22semidirect
132. #2578C22semidirect
133. #2578C22semidirect
134. #2576C22semidirect
135. #2561C22semidirect
136. #2560C22semidirect
137. #2560C22semidirect
138. #2559C22semidirect
139. #2557C22semidirect
140. #2557C22semidirect
141. #2554C22semidirect
142. #2551C22semidirect
143. #2548C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2546C22semidirect
147. #2545C22semidirect
148. #2545C22semidirect
149. #2544C22semidirect
150. #2542C22semidirect
151. #2523C22semidirect
152. #2521C22semidirect
153. #2518C22semidirect
154. #2518C22semidirect
155. #2514C22semidirect
156. #2513C22semidirect
157. #2505C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2483C22semidirect
164. #2482C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2474C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2467C22semidirect
175. #2463C22semidirect
176. #2461C22semidirect
177. #2459C22semidirect
178. #2455C22semidirect
179. #2452C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2446C22semidirect
184. #2445C22semidirect
185. #2439C22semidirect
186. #2437C22semidirect
187. #2436C22semidirect
188. #2436C22semidirect
191. #2435C22semidirect
192. #2435C22semidirect
193. #2435C22semidirect
194. #2435C22semidirect
195. #2435C22semidirect
196. #2435C22semidirect
197. #2434C22semidirect
198. #2434C22semidirect
202. #2432C22semidirect
203. #2432C22semidirect
204. #2432C22semidirect
205. #2432C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2427C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2421C22semidirect
214. #2415C22semidirect
215. #2412C22semidirect
217. #2409C22semidirect
220. #2405C22semidirect
221. #2405C22semidirect
222. #2405C22semidirect
223. #2405C22semidirect
224. #2405C22semidirect
227. #2398C22semidirect
228. #2395C22semidirect
231. #2375C22semidirect
232. #2375C22semidirect
233. #2367C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2342C22semidirect
237. Q8×C22⋊C4C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. #2337C22semidirect
244. #2335C22semidirect
245. #2334C22semidirect
246. #2329C22semidirect
247. #2319C22semidirect
248. #2315C22semidirect
250. C4×#126C22semidirect
251. C4×#124C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×#123C22semidirect
255. #2298C22semidirect
256. #2297C22semidirect
257. #2297C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#591482
#572192
#566582
#552572
#529902
#486752
#485112
#485012
#473942
#471412
#460612
#456972
#453212
#448742
#431752
#427872
#426802
#406382
#400732
#400322
#394392
#390702
#389182
#373912
D4×#1242
#356802
#356162
#350462
#349062