Finite Group Databasebeta

← #7696931

Subgroups — #7696931

Order 512.

5799 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59846C212yesmaximal, complemented
2#59843C211yesmaximal, characteristic, complemented
3#59802C212yesmaximal, complemented
4#59628C211yesmaximal, characteristic, complemented
5#59420C212yesmaximal, complemented
6#58997C211yesmaximal, characteristic
7#52293C212yesmaximal, complemented
8#52185C211yesmaximal, characteristic, complemented
9#45360C212yesmaximal, complemented
10#45198C212yesmaximal, complemented
11#44874C212yesmaximal, complemented
12#44380C214yesmaximal, complemented
13#44245C214yesmaximal, complemented
14#43368C214yesmaximal, complemented
15#40364C214yesmaximal, complemented
16#40038C214yesmaximal, complemented
17#39054C212yesmaximal, complemented
18#38542C214yesmaximal, complemented
19#38250C212yesmaximal, complemented
20#37664C212yesmaximal, complemented
21#36528C211yesmaximal, characteristic, complemented
22#36516C211yesmaximal, characteristic, complemented
23#36496C211yesmaximal, characteristic, complemented
24#35989C212yesmaximal, complemented
25#35916C212yesmaximal, complemented
26#35808C212yesmaximal, complemented
27#34290C212yesmaximal, complemented
28#34285C212yesmaximal, complemented
29#34204C212yesmaximal, complemented
30C2×#559C2212yescomplemented
31C2×#559C2211yescharacteristic, complemented
32C2×#554C2211yescharacteristic, complemented
33C2×#551C2212yescomplemented
34C2×D42C2212yes—
35C2×D42C2212yes—
36C2×#542C2212yes—
37C22×#121C2212yes—
38C2×#518C2212yescomplemented
39C22×C4×D4C2211yescharacteristic, complemented
40C22×#117C2211yescharacteristic, complemented
41#2861C2212yescomplemented
42#2858C2211yescharacteristic, complemented
43#2855C2211yescharacteristic, complemented
44#2855C2212yescomplemented
45#2848C2211yescharacteristic, complemented
46#2848C2212yescomplemented
47#2797C2214yescomplemented
48#2790C2214yescomplemented
49#2788C2214yescomplemented
50#2786C2214yescomplemented
51#2784C2214yescomplemented
52#2783C2214yescomplemented
53#2782C2214yescomplemented
54#2779C2214yescomplemented
55#2757C2214yescomplemented
56#2750C2214yescomplemented
57#2749C2214yescomplemented
58#2748C2211yescharacteristic, complemented
59#2747C2212yescomplemented
60#2746C2212yescomplemented
61#2745C2212yescomplemented
62#2744C2212yescomplemented
63#2743C2212yescomplemented
64#2735C2212yescomplemented
65#2730C2214yescomplemented
66#2728C2212yescomplemented
67#2717C2211yescharacteristic, complemented
68#2712C2212yescomplemented
69#2709C2212yescomplemented
70#2701C2214yescomplemented
71#2697C2211yescharacteristic
72#2697C2212yescomplemented
73#2697C2214yescomplemented
74#2697C2214yescomplemented
75#2692C2214yescomplemented
76#2691C2214yescomplemented
77#2691C2214yescomplemented
78#2686C2214yescomplemented
79#2685C2214yescomplemented
80#2684C2211yescharacteristic
81#2684C2214yescomplemented
82#2684C2214yescomplemented
83#2681C2214yescomplemented
84#2675C2212yes—
85#2672C2214yescomplemented
86#2669C2212yes—
87#2653C2214yescomplemented
88#2650C2214yescomplemented
89#2644C2212yescomplemented
90#2630C2214yescomplemented
91#2624C2212yescomplemented
92#2620C2212yescomplemented
93#2609C2212yescomplemented
94#2608C2214yescomplemented
95#2600C2214yescomplemented
96#2600C2212yescomplemented
97#2597C2214yescomplemented
98#2595C2214yescomplemented
99#2578C2214yescomplemented
100#2567C2211yescharacteristic, complemented
101#2566C2212yescomplemented
102#2561C2212yescomplemented
103#2561C2212yescomplemented
104#2559C2214yescomplemented
105#2559C2214yescomplemented
106#2557C2214yescomplemented
107#2557C2214yescomplemented
108#2549C2214yescomplemented
109#2544C2212yescomplemented
110#2544C2212yescomplemented
111#2541C2211yescharacteristic
112#2538C2214yescomplemented
113#2538C2212yescomplemented
114#2534C2212yes—
115#2534C2214yescomplemented
116#2534C2212yescomplemented
117#2522C2214yescomplemented
118#2521C2214yescomplemented
119#2513C2212yescomplemented
120#2510C2214yescomplemented
121#2509C2212yescomplemented
122#2507C2212yescomplemented
123#2503C2211yescharacteristic, complemented
124#2496C2212yescomplemented
125#2491C2212yescomplemented
126#2491C2212yescomplemented
127#2486C2211yescharacteristic, complemented
128#2480C2214yescomplemented
129#2480C2214yescomplemented
130#2477C2214yescomplemented
131#2477C2214yescomplemented
132#2475C2214yescomplemented
133#2472C2214yescomplemented
134#2472C2214yescomplemented
135#2472C2214yescomplemented
136#2471C2214yescomplemented
137#2470C2214yescomplemented
138#2466C2214yescomplemented
139#2465C2214yescomplemented
140#2463C2214yescomplemented
141#2461C2214yescomplemented
142#2461C2214yescomplemented
143#2461C2214yescomplemented
144#2460C2214yescomplemented
145#2459C2214yescomplemented
146#2458C2214yescomplemented
147#2457C2214yescomplemented
148#2457C2214yescomplemented
149#2452C2212yescomplemented
150#2452C2212yescomplemented
151#2450C2214yescomplemented
152#2450C2214yescomplemented
153#2447C2212yescomplemented
154#2445C2212yescomplemented
155#2445C2212yescomplemented
156#2444C2214yescomplemented
157#2440C2212yescomplemented
158#2439C2212yescomplemented
159#2437C2214yescomplemented
160#2435C2214yescomplemented
161#2435C2214yescomplemented
162#2435C2212yescomplemented
163#2435C2211yescharacteristic, complemented
164#2433C2212yes—
165#2428C2212yes—
166#2427C2214yescomplemented
167#2427C2214yescomplemented
168#2427C2212yescomplemented
169#2426C2212yescomplemented
170#2426C2212yescomplemented
171#2425C2214yescomplemented
172#2424C2214yes—
173#2422C2212yescomplemented
174#2420C2214yescomplemented
175#2420C2214yescomplemented
176#2418C2214yescomplemented
177#2416C2212yes—
178#2415C2212yescomplemented
179#2411C2214yescomplemented
180#2411C2214yescomplemented
181#2410C2214yes—
182#2408C2211yescharacteristic
183#2405C2214yescomplemented
184#2405C2214yescomplemented
185#2403C2212yes—
186#2401C2212yescomplemented
187#2396C2212yescomplemented
188#2395C2214yescomplemented
189#2395C2212yescomplemented
190#2392C2214yescomplemented
191#2392C2214yescomplemented
192#2374C2214yescomplemented
193#2369C2212yescomplemented
194#2368C2214yescomplemented
195#2367C2212yescomplemented
196#2367C2212yescomplemented
197#2366C2212yescomplemented
198#2365C2212yescomplemented
199#2364C2214yescomplemented
200#2363C2212yes—
201#2363C2212yes—
202#2363C2212yescomplemented
203#2363C2212yescomplemented
204#2362C2214yescomplemented
205#2362C2212yescomplemented
206#2361C2212yes—
207#2361C2212yescomplemented
208#2361C2212yescomplemented
209#2361C2212yescomplemented
210#2361C2212yescomplemented
211#2361C2212yescomplemented
212#2360C2212yescomplemented
213#2359C2214yescomplemented
214#2358C2214yescomplemented
215#2358C2214yescomplemented
216#2354C2212yescomplemented
217#2352C2212yescomplemented
218#2349C2212yescomplemented
219#2345C2211yescharacteristic, complemented
220#2345C2211yescharacteristic, complemented
221#2342C2214yescomplemented
222#2342C2214yescomplemented
223D4×C22⋊C4C2214yescomplemented
224D4×C22⋊C4C2214yescomplemented
225D4×C22⋊C4C2212yescomplemented
226D4×C22⋊C4C2212yescomplemented
227D4×C22⋊C4C2214yescomplemented
228#2337C2214yescomplemented
229#2334C2214yescomplemented
230#2328C2212yescomplemented
231#2325C2214yescomplemented
232#2324C2212yes—
233#2324C2214yescomplemented
234#2324C2214yescomplemented
235#2321C2214yescomplemented
236#2320C2212yescomplemented
237#2316C2212yescomplemented
238#2309C2212yescomplemented
239C4×#127C2212yescomplemented
240C4×#126C2214yescomplemented
241C4×#124C2214yescomplemented
242C4×#124C2211yescharacteristic, complemented
243C4×#123C2212yescomplemented
244C4×#123C2211yescharacteristic, complemented
245C4×#121C2214yescomplemented
246C4×#121C2212yescomplemented
247C4×#121C2214yescomplemented
248C4×#120C2211yescharacteristic
249C4×#120C2214yescomplemented
250C4×#120C2212yescomplemented
251#2298C2212yescomplemented
252#2293C2212yescomplemented
253#2290C2212yescomplemented
254C2×#386C2214yescomplemented
255#2280C2212yescomplemented
256#2275C2212yescomplemented
257#2274C2212yescomplemented
258C42×Q8C2211yescharacteristic, complemented
259C23×D4C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2314yes—
262C23×D4C2314yes—
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265#559—44no—
266#559—48no—
267#554—44no—
268#551—48no—
269D42—216no—
270D42—48no—
271#542—216no—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127C2312yes—
275C2×#127C2312yes—
276C2×#127C2311yescharacteristic
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#125C2312yes—
280C2×#124C2314yes—
281C2×#124C2312yes—
282C2×#124C2311yescharacteristic
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#123C2314yes—
289C2×#123C2311yescharacteristic
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×#121—216no—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2312yes—
319C2×#120C2311yescharacteristic
320C2×#120C2314yes—
321C2×#120C2314yes—
322#518—48no—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2314yes—
327C2×C4×D4—44no—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×#117—44no—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2314yes—
356C2×#117C2314yes—
357C2×#117C2314yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371#401C2312yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#399C2314yes—
382#399C2312yes—
383#399C2312yes—
384#398C2312yes—
385#398C2312yes—
386#398C2312yes—
387#398C2314yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2312yes—
397#397C2314yes—
398#397C2312yes—
399#397C2312yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2312yes—
407#397C2312yes—
408#397C2312yes—
409#397C2312yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2314yes—
420#396C2312yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2312yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2312yes—
456#393C2314yes—
457#393C2314yes—
458#392C2314yes—
459#392C2312yes—
460#392C2314yes—
461#392C2314yes—
462#392C2312yes—
463#392C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2314yes—
472#390C2311yescharacteristic
473#390C2312yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2312yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#387C2312yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2312yes—
560#387C2314yes—
561#387C2312yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2312yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2312yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2312yes—
603#386C2311yescharacteristic
604#386C2312yes—
605#386C2311yescharacteristic
606#386C2314yes—
607#386C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2311yescharacteristic
619#385C2314yes—
620#385C2312yes—
621#385C2312yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2311yescharacteristic
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2314yes—
631#385C2312yes—
632#385C2312yes—
633#384C2312yes—
634#384C2312yes—
635#383C2314yes—
636#382C2311yescharacteristic
637#382C2314yes—
638#382C2312yes—
639#381C2311yescharacteristic
640#381C2312yes—
641#381C2312yes—
642#381C2312yes—
643#381C2312yes—
644#381C2312yes—
645#381C2312yes—
646#381C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2312yes—
650#380C2312yes—
651#380C2312yes—
652#380C2314yes—
653#380C2311yescharacteristic
654#380C2312yes—
655#380C2314yes—
656#380C2312yes—
657#380C2311yescharacteristic
658#380C2312yes—
659#380C2314yes—
660#380C2312yes—
661#380C2314yes—
662#380C2312yes—
663#379C2311yescharacteristic
664#379C2312yes—
665#379C2312yes—
666#379C2312yes—
667#379C2314yes—
668#379C2314yes—
669#379C2314yes—
670#379C2312yes—
671#379C2312yes—
672#379C2314yes—
673#379C2312yes—
674#379C2314yes—
675#379C2314yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718#376C2312yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C43C2312yes—
722C43C2311yescharacteristic
723C25C2412yes—
724C25C2411yescharacteristic
725C25C2414yes—
726C22×Q8C2411yescharacteristic
727C22×Q8C2411yescharacteristic
728C22×Q8C2414yes—
729C22×Q8C2412yes—
730C22×D4—28no—
731C22×D4—28no—
732C22×D4—216no—
733C22×D4—216no—
734C22×D4—28no—
735C22×D4—42no—
736C22×D4—44no—
737C22×D4—48no—
738C22×D4—48no—
739C22×D4—84no—
740C22×D4—84no—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2411yescharacteristic
756C23×C4—28no—
757C23×C4—42no—
758C23×C4—44no—
759C23×C4—84no—
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2411yescharacteristic
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2411yescharacteristic
778C4⋊Q8—28no—
779C4⋊Q8—42no—
780#127—28no—
781#127—28no—
782#127—42no—
783#126—216no—
784#126—48no—
785#125—44no—
786#124—28no—
787#124—216no—
788#124—24no—
789#124—44no—
790#124—44no—
791#124—48no—
792#124—48no—
793#124—84no—
794#123—216no—
795#123—28no—
796#123—24no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—84no—
801C22⋊Q8—28no—
802C22⋊Q8—216no—
803C22⋊Q8—48no—
804C22⋊Q8—44no—
805C22⋊Q8—44no—
806C22⋊Q8—42no—
807C22⋊Q8—42no—
808C22⋊Q8—84no—
809C22⋊Q8—84no—
810C22⋊Q8—84no—
811#121—28no—
812#121—216no—
813#121—28no—
814#121—28no—
815#121—28no—
816#121—216no—
817#121—216no—
818#121—48no—
819#121—48no—
820#121#41116yes—
821#120—216no—
822#120—24no—
823#120—28no—
824#120—216no—
825#120—48no—
826#120—84no—
827C4×Q8—28no—
828C4×Q8—24no—
829C4×Q8—42no—
830C4×Q8—48no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—28no—
835C4×D4—28no—
836C4×D4—48no—
837C4×D4—48no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—48no—
842C4×D4—44no—
843C4×D4—42no—
844C4×D4—44no—
845C4×D4—48no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—48no—
849C4×D4—84no—
850C4×D4—84no—
851C4×D4—84no—
852C4×D4—84no—
853#117—28no—
854#117—28no—
855#117—44no—
856#117—48no—
857#117—48no—
858#117—44no—
859#117—84no—
860C2×C4⋊C4—28no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—24no—
863C2×C4⋊C4—42no—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C22⋊C4—216no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—44no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—84no—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C42—44no—
987C2×C42—42no—
988C2×C42C2411yescharacteristic
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062C24—28no—
1063C24—24no—
1064C24—24no—
1065C24—22no—
1066C24—28no—
1067C24—28no—
1068C24—41no—
1069C24—42no—
1070C24—44no—
1071C24—42no—
1072C24—44no—
1073C24—41no—
1074C24—42no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24C2514yes—
1080C24C2512yes—
1081C24C2514yes—
1082C24C2511yescharacteristic
1083C24C2511yescharacteristic
1084C2×Q8—24no—
1085C2×Q8—28no—
1086C2×Q8—22no—
1087C2×Q8—22no—
1088C2×Q8—41no—
1089C2×Q8—44no—
1090C2×Q8—44no—
1091C2×Q8—41no—
1092C2×Q8—42no—
1093C2×Q8—44no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—432no—
1115C2×D4—41no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—416no—
1136C2×D4—832no—
1137C2×D4—832no—
1138C2×D4C2×#4118yes—
1139C2×D4C2×#41116yes—
1140C2×D4H(5,𝔽2)14yes—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—28no—
1145C22×C4—22no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—416no—
1164C22×C4—41no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—816no—
1190C22×C4C2×#4118yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—41no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4C2×#4118yes—
1260C4⋊C4H(5,𝔽2)14yes—
1261C22⋊C4—28no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—24no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—22no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—22no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—41no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—41no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4C2×#41116yes—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—28no—
1334C42—28no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—44no—
1342C42—42no—
1343C42—41no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—42no—
1351C23—22no—
1352C23—24no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—24no—
1358C23—22no—
1359C23—21no—
1360C23—21no—
1361C23—22no—
1362C23—24no—
1363C23—22no—
1364C23—24no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—21no—
1369C23—24no—
1370C23—21no—
1371C23—24no—
1372C23—24no—
1373C23—24no—
1374C23—24no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—44no—
1379C23—48no—
1380C23—48no—
1381C23—416no—
1382C23—416no—
1383C23—88no—
1384C23—84no—
1385C23—82no—
1386C23—84no—
1387C23—88no—
1388C23—88no—
1389C23—88no—
1390C23—88no—
1391C23—84no—
1392C23—82no—
1393C23—164no—
1394C23—164no—
1395C23C22×#4114yes—
1396C23C22×#4118yes—
1397C23C2×H(5,𝔽2)12yes—
1398C23C2×H(5,𝔽2)12yes—
1399C23C2611yescharacteristic
1400Q8—44no—
1401Q8—88no—
1402Q8—82no—
1403Q8—162no—
1404D4—216no—
1405D4—416no—
1406D4—44no—
1407D4—416no—
1408D4—416no—
1409D4—416no—
1410D4—48no—
1411D4—416no—
1412D4—48no—
1413D4—48no—
1414D4—84no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418D4—162no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—21no—
1426C2×C4—216no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—24no—
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—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—44no—
1479C2×C4—48no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—88no—
1486C2×C4—84no—
1487C2×C4—88no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—84no—
1491C2×C4—82no—
1492C2×C4—88no—
1493C2×C4—164no—
1494C2×C4—164no—
1495C2×C4C22×#4118yes—
1496C2×C4C22×#4114yes—
1497C2×C4C22×#4114yes—
1498C2×C4C2×H(5,𝔽2)12yes—
1499C2×C4C2×H(5,𝔽2)14yes—
1500C2×C4C2×H(5,𝔽2)12yes—
1501C22—28no—
1502C22—24no—
1503C22—24no—
1504C22—24no—
1505C22—28no—
1506C22—24no—
1507C22—22no—
1508C22—22no—
1509C22—24no—
1510C22—28no—
1511C22—42no—
1512C22—44no—
1513C22—41no—
1514C22—41no—
1515C22—44no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—41no—
1524C22—41no—
1525C22—44no—
1526C22—44no—
1527C22—44no—
1528C22—44no—
1529C22—44no—
1530C22—44no—
1531C22—44no—
1532C22—88no—
1533C22—816no—
1534C22—1616no—
1535C22C23×#4112yes—
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22C22×H(5,𝔽2)11yescharacteristic
1538C22H(7,𝔽2)12yes—
1539C222−1+611yescharacteristic
1540C4—28no—
1541C4—24no—
1542C4—22no—
1543C4—24no—
1544C4—42no—
1545C4—42no—
1546C4—44no—
1547C4—44no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4#348114yes—
1564C2—42no—
1565C2—42no—
1566C2—48no—
1567C2—44no—
1568C2—84no—
1569C2C2×#348111yescharacteristic
1570C2#6285712yes—
1571C2#6289511yescharacteristic
1572C2#6298312yes—
1573C2#6304111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#58997C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59846C2semidirect
2. #59843C2semidirect
3. #59802C2semidirect
4. #59628C2semidirect
5. #59420C2semidirect
7. #52293C2semidirect
8. #52185C2semidirect
9. #45360C2semidirect
10. #45198C2semidirect
11. #44874C2semidirect
12. #44380C2semidirect
13. #44245C2semidirect
14. #43368C2semidirect
15. #40364C2semidirect
16. #40038C2semidirect
17. #39054C2semidirect
18. #38542C2semidirect
19. #38250C2semidirect
20. #37664C2semidirect
21. #36528C2semidirect
22. #36516C2semidirect
23. #36496C2semidirect
24. #35989C2semidirect
25. #35916C2semidirect
26. #35808C2semidirect
27. #34290C2semidirect
28. #34285C2semidirect
29. #34204C2semidirect
30. C2×#559C22semidirect
31. C2×#559C22semidirect
32. C2×#554C22semidirect
33. C2×#551C22semidirect
38. C2×#518C22semidirect
39. C22×C4×D4C22semidirect
40. C22×#117C22semidirect
41. #2861C22semidirect
42. #2858C22semidirect
43. #2855C22semidirect
44. #2855C22semidirect
45. #2848C22semidirect
46. #2848C22semidirect
47. #2797C22semidirect
48. #2790C22semidirect
49. #2788C22semidirect
50. #2786C22semidirect
51. #2784C22semidirect
52. #2783C22semidirect
53. #2782C22semidirect
54. #2779C22semidirect
55. #2757C22semidirect
56. #2750C22semidirect
57. #2749C22semidirect
58. #2748C22semidirect
59. #2747C22semidirect
60. #2746C22semidirect
61. #2745C22semidirect
62. #2744C22semidirect
63. #2743C22semidirect
64. #2735C22semidirect
65. #2730C22semidirect
66. #2728C22semidirect
67. #2717C22semidirect
68. #2712C22semidirect
69. #2709C22semidirect
70. #2701C22semidirect
72. #2697C22semidirect
73. #2697C22semidirect
74. #2697C22semidirect
75. #2692C22semidirect
76. #2691C22semidirect
77. #2691C22semidirect
78. #2686C22semidirect
79. #2685C22semidirect
81. #2684C22semidirect
82. #2684C22semidirect
83. #2681C22semidirect
85. #2672C22semidirect
87. #2653C22semidirect
88. #2650C22semidirect
89. #2644C22semidirect
90. #2630C22semidirect
91. #2624C22semidirect
92. #2620C22semidirect
93. #2609C22semidirect
94. #2608C22semidirect
95. #2600C22semidirect
96. #2600C22semidirect
97. #2597C22semidirect
98. #2595C22semidirect
99. #2578C22semidirect
100. #2567C22semidirect
101. #2566C22semidirect
102. #2561C22semidirect
103. #2561C22semidirect
104. #2559C22semidirect
105. #2559C22semidirect
106. #2557C22semidirect
107. #2557C22semidirect
108. #2549C22semidirect
109. #2544C22semidirect
110. #2544C22semidirect
112. #2538C22semidirect
113. #2538C22semidirect
115. #2534C22semidirect
116. #2534C22semidirect
117. #2522C22semidirect
118. #2521C22semidirect
119. #2513C22semidirect
120. #2510C22semidirect
121. #2509C22semidirect
122. #2507C22semidirect
123. #2503C22semidirect
124. #2496C22semidirect
125. #2491C22semidirect
126. #2491C22semidirect
127. #2486C22semidirect
128. #2480C22semidirect
129. #2480C22semidirect
130. #2477C22semidirect
131. #2477C22semidirect
132. #2475C22semidirect
133. #2472C22semidirect
134. #2472C22semidirect
135. #2472C22semidirect
136. #2471C22semidirect
137. #2470C22semidirect
138. #2466C22semidirect
139. #2465C22semidirect
140. #2463C22semidirect
141. #2461C22semidirect
142. #2461C22semidirect
143. #2461C22semidirect
144. #2460C22semidirect
145. #2459C22semidirect
146. #2458C22semidirect
147. #2457C22semidirect
148. #2457C22semidirect
149. #2452C22semidirect
150. #2452C22semidirect
151. #2450C22semidirect
152. #2450C22semidirect
153. #2447C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2444C22semidirect
157. #2440C22semidirect
158. #2439C22semidirect
159. #2437C22semidirect
160. #2435C22semidirect
161. #2435C22semidirect
162. #2435C22semidirect
163. #2435C22semidirect
166. #2427C22semidirect
167. #2427C22semidirect
168. #2427C22semidirect
169. #2426C22semidirect
170. #2426C22semidirect
171. #2425C22semidirect
173. #2422C22semidirect
174. #2420C22semidirect
175. #2420C22semidirect
176. #2418C22semidirect
178. #2415C22semidirect
179. #2411C22semidirect
180. #2411C22semidirect
183. #2405C22semidirect
184. #2405C22semidirect
186. #2401C22semidirect
187. #2396C22semidirect
188. #2395C22semidirect
189. #2395C22semidirect
190. #2392C22semidirect
191. #2392C22semidirect
192. #2374C22semidirect
193. #2369C22semidirect
194. #2368C22semidirect
195. #2367C22semidirect
196. #2367C22semidirect
197. #2366C22semidirect
198. #2365C22semidirect
199. #2364C22semidirect
202. #2363C22semidirect
203. #2363C22semidirect
204. #2362C22semidirect
205. #2362C22semidirect
207. #2361C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2361C22semidirect
211. #2361C22semidirect
212. #2360C22semidirect
213. #2359C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2354C22semidirect
217. #2352C22semidirect
218. #2349C22semidirect
219. #2345C22semidirect
220. #2345C22semidirect
221. #2342C22semidirect
222. #2342C22semidirect
223. D4×C22⋊C4C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. #2337C22semidirect
229. #2334C22semidirect
230. #2328C22semidirect
231. #2325C22semidirect
233. #2324C22semidirect
234. #2324C22semidirect
235. #2321C22semidirect
236. #2320C22semidirect
237. #2316C22semidirect
238. #2309C22semidirect
239. C4×#127C22semidirect
240. C4×#126C22semidirect
241. C4×#124C22semidirect
242. C4×#124C22semidirect
243. C4×#123C22semidirect
244. C4×#123C22semidirect
245. C4×#121C22semidirect
246. C4×#121C22semidirect
247. C4×#121C22semidirect
249. C4×#120C22semidirect
250. C4×#120C22semidirect
251. #2298C22semidirect
252. #2293C22semidirect
253. #2290C22semidirect
254. C2×#386C22semidirect
255. #2280C22semidirect
256. #2275C22semidirect
257. #2274C22semidirect
258. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598462
#598432
#598022
#596282
#594202
#589972
#522932
#521852
#453602
#451982
#448742
#443802
#442452
#433682
#403642
#400382
#390542
#385422
#382502
#376642
#365282
#365162
#364962
#359892
#359162
#358082
#342902
#342852
#342042