Finite Group Databasebeta

← #7732308

Subgroups — #7732308

Order 512.

4662 conjugacy classes of subgroups.

The subgroup lattice has 1541 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48890C214yesmaximal, complemented
2#48888C214yesmaximal, complemented
3#47219C214yesmaximal, complemented
4#46851C214yesmaximal, complemented
5#43174C214yesmaximal, complemented
6#43172C214yesmaximal, complemented
7#39565C212yesmaximal, complemented
8#39083C212yesmaximal, complemented
9#38266C212yesmaximal, complemented
10#38112C212yesmaximal, complemented
11#37972C212yesmaximal, complemented
12#37942C212yesmaximal, complemented
13#37934C212yesmaximal, complemented
14#37895C212yesmaximal, complemented
15#37885C212yesmaximal, complemented
16#37882C212yesmaximal, complemented
17#37439C211yesmaximal, characteristic
18#37360C212yesmaximal, complemented
19#37355C212yesmaximal, complemented
20#36291C212yesmaximal, complemented
21#36171C212yesmaximal, complemented
22#35603C212yesmaximal, complemented
23#35588C212yesmaximal, complemented
24#35263C211yesmaximal, characteristic, complemented
25#35020C211yesmaximal, characteristic, complemented
26C2×#2500C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34180C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C2×#525C2211yescharacteristic
31C22×#121C2211yescharacteristic
32C22×#117C2211yescharacteristic
33#2864C2212yescomplemented
34#2860C2212yescomplemented
35#2855C2212yes—
36#2854C2212yes—
37#2854C2212yescomplemented
38#2851C2212yes—
39#2851C2212yes—
40#2851C2212yescomplemented
41#2813C2214yes—
42#2797C2214yescomplemented
43#2797C2214yescomplemented
44#2796C2214yescomplemented
45#2795C2214yescomplemented
46#2794C2214yescomplemented
47#2794C2214yescomplemented
48#2793C2214yescomplemented
49#2786C2214yescomplemented
50#2786C2214yescomplemented
51#2782C2214yescomplemented
52#2781C2214yescomplemented
53#2781C2214yescomplemented
54#2779C2214yescomplemented
55#2778C2214yescomplemented
56#2773C2214yescomplemented
57#2772C2214yescomplemented
58#2770C2214yescomplemented
59#2765C2214yescomplemented
60#2764C2214yescomplemented
61#2756C2214yescomplemented
62#2754C2214yescomplemented
63#2753C2214yescomplemented
64#2752C2214yescomplemented
65#2750C2214yescomplemented
66#2749C2214yescomplemented
67#2749C2214yescomplemented
68#2746C2214yescomplemented
69#2744C2214yescomplemented
70#2741C2214yescomplemented
71#2741C2214yescomplemented
72#2740C2214yescomplemented
73#2738C2214yescomplemented
74#2721C2214yescomplemented
75#2721C2214yescomplemented
76#2721C2214yescomplemented
77#2718C2214yescomplemented
78#2711C2214yescomplemented
79#2708C2214yescomplemented
80#2691C2214yescomplemented
81#2691C2214yescomplemented
82#2656C2212yes—
83#2647C2212yescomplemented
84#2646C2212yes—
85#2646C2212yes—
86#2644C2212yescomplemented
87#2639C2212yes—
88#2629C2212yescomplemented
89#2626C2212yes—
90#2625C2212yescomplemented
91#2624C2212yes—
92#2624C2212yescomplemented
93#2624C2212yescomplemented
94#2617C2212yes—
95#2615C2212yes—
96#2611C2214yescomplemented
97#2603C2214yescomplemented
98#2603C2214yescomplemented
99#2600C2214yescomplemented
100#2597C2214yescomplemented
101#2596C2214yescomplemented
102#2595C2214yescomplemented
103#2595C2214yescomplemented
104#2595C2214yescomplemented
105#2593C2214yescomplemented
106#2578C2214yescomplemented
107#2578C2214yescomplemented
108#2575C2214yescomplemented
109#2573C2214yescomplemented
110#2569C2214yescomplemented
111#2569C2214yescomplemented
112#2562C2214yescomplemented
113#2559C2214yescomplemented
114#2554C2214yescomplemented
115#2532C2214yescomplemented
116#2531C2214yescomplemented
117#2530C2214yescomplemented
118#2529C2214yescomplemented
119#2528C2214yescomplemented
120#2527C2214yescomplemented
121#2525C2214yescomplemented
122#2524C2214yescomplemented
123#2519C2214yescomplemented
124#2517C2214yescomplemented
125#2516C2214yescomplemented
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2509C2212yescomplemented
129#2508C2212yescomplemented
130#2506C2212yescomplemented
131#2506C2212yescomplemented
132#2500C2214yes—
133#2500C2212yes—
134#2500C2212yes—
135#2500C2212yes—
136#2500C2212yes—
137#2500C2214yes—
138#2498C2214yescomplemented
139#2496C2212yescomplemented
140#2496C2212yescomplemented
141#2495C2212yescomplemented
142#2494C2212yescomplemented
143#2493C2214yes—
144#2490C2212yescomplemented
145#2490C2212yescomplemented
146#2490C2214yescomplemented
147#2487C2212yes—
148#2487C2212yes—
149#2486C2212yes—
150#2485C2212yescomplemented
151#2485C2214yescomplemented
152#2485C2212yescomplemented
153#2483C2214yes—
154#2482C2214yes—
155#2481C2214yes—
156#2481C2214yes—
157#2480C2214yes—
158#2476C2214yescomplemented
159#2475C2214yescomplemented
160#2473C2214yes—
161#2473C2214yes—
162#2471C2214yescomplemented
163#2468C2214yescomplemented
164#2468C2214yescomplemented
165#2467C2214yescomplemented
166#2467C2214yescomplemented
167#2460C2214yescomplemented
168#2457C2214yescomplemented
169#2454C2212yescomplemented
170#2454C2212yescomplemented
171#2442C2212yescomplemented
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2442C2212yescomplemented
175#2420C2214yescomplemented
176#2420C2212yescomplemented
177#2420C2212yescomplemented
178#2419C2214yes—
179#2418C2214yes—
180#2416C2212yes—
181#2416C2212yes—
182#2412C2214yes—
183#2412C2214yes—
184#2411C2214yes—
185#2410C2214yes—
186#2408C2212yes—
187C2×#394C2212yes—
188C2×#394C2212yes—
189#2377C2214yes—
190#2361C2212yes—
191#2361C2212yes—
192#2359C2214yes—
193#2358C2214yes—
194#2347C2212yescomplemented
195#2346C2212yescomplemented
196#2345C2212yes—
197#2345C2212yes—
198#2344C2212yes—
199#2343C2214yes—
200#2343C2214yescomplemented
201#2342C2214yes—
202#2342C2214yes—
203D4×C22⋊C4C2214yes—
204D4×C22⋊C4C2212yes—
205#2335C2212yescomplemented
206#2335C2212yescomplemented
207#2333C2212yescomplemented
208#2332C2212yescomplemented
209#2330C2212yescomplemented
210#2329C2211yescharacteristic
211#2329C2211yescharacteristic
212#2325C2212yes—
213#2325C2211yescharacteristic
214#2325C2211yescharacteristic
215#2325C2212yes—
216#2324C2212yes—
217#2324C2212yes—
218#2324C2212yescomplemented
219#2321C2212yes—
220#2321C2212yes—
221#2319C2212yescomplemented
222#2317C2211yescharacteristic, complemented
223#2317C2211yescharacteristic, complemented
224#2316C2211yescharacteristic, complemented
225#2316C2211yescharacteristic, complemented
226#2315C2212yes—
227#2315C2212yes—
228#2315C2212yes—
229#2314C2212yescomplemented
230#2314C2212yescomplemented
231#2314C2212yescomplemented
232#2312C2212yes—
233#2311C2211yescharacteristic, complemented
234#2311C2211yescharacteristic, complemented
235C4×#125C2212yescomplemented
236C4×#121C2212yescomplemented
237#2298C2212yescomplemented
238#2297C2212yescomplemented
239#2293C2212yescomplemented
240#2293C2212yescomplemented
241C2×#390C2211yescharacteristic
242C2×#390C2211yescharacteristic
243#2290C2212yes—
244#2290C2212yescomplemented
245C2×#388C2212yes—
246C2×#388C2212yes—
247#2285C2212yes—
248C2×#384C2211yescharacteristic
249#2283C2212yes—
250#2283C2212yescomplemented
251C2×#382C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255#2274C2211yescharacteristic, complemented
256#2274C2211yescharacteristic, complemented
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263C2×#126C2314yes—
264C2×#126C2314yes—
265C2×#126C2314yes—
266C2×#125C2312yes—
267C2×#125C2312yes—
268C2×#125C2314yes—
269C2×#125C2314yes—
270#525—28no—
271C2×#123C2312yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×#121—28no—
277C2×#121C2312yes—
278C2×#121C2311yescharacteristic
279C2×#121C2312yes—
280C2×#121C2311yescharacteristic
281C2×#121C2312yes—
282C2×#121C2312yes—
283C2×#121C2312yes—
284C2×#121C2312yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#120C2312yes—
288C2×#120C2314yes—
289C2×C4×D4C2312yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2312yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2314yes—
296C2×C4×D4C2314yes—
297C2×C4×D4C2314yes—
298C2×#117—28no—
299C2×#117C2311yescharacteristic
300C2×#117C2311yescharacteristic
301C2×#117C2312yes—
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C2×#117C2312yes—
305C2×#117C2311yescharacteristic
306C2×#117C2312yes—
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2314yes—
310C2×#117C2314yes—
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2312yes—
319C22×C4⋊C4C2312yes—
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2312yes—
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2314yes—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331C22×C42C2312yes—
332C22×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2312yes—
335#401C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#399C2314yes—
353#399C2314yes—
354#399C2314yes—
355#399C2314yes—
356#399C2314yes—
357#399C2314yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#393C2314yes—
419#392C2314yes—
420#392C2314yes—
421#392C2314yes—
422#392C2314yes—
423#391C2312yes—
424#391C2312yes—
425#391C2312yes—
426#391C2312yes—
427#390C2312yes—
428#390C2312yes—
429#390C2312yes—
430#390C2312yes—
431#390C2312yes—
432#390C2312yes—
433#390C2312yes—
434#390C2312yes—
435#390C2314yes—
436#390C2312yes—
437#390C2312yes—
438#390C2314yes—
439#390C2314yes—
440#390C2314yes—
441#390C2314yes—
442#390C2314yes—
443#390C2312yes—
444#390C2312yes—
445#390C2312yes—
446#390C2314yes—
447#390C2312yes—
448#389C2312yes—
449#389C2312yes—
450#389C2312yes—
451#389C2312yes—
452#389C2312yes—
453#389C2312yes—
454#389C2312yes—
455#389C2312yes—
456#389C2312yes—
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2314yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2314yes—
470#389C2312yes—
471#389C2312yes—
472#389C2314yes—
473#388C2312yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2312yes—
493#388C2312yes—
494#388C2312yes—
495#388C2312yes—
496#388C2312yes—
497#388C2312yes—
498#388C2312yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2312yes—
503#388C2312yes—
504#388C2312yes—
505#388C2312yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2312yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2312yes—
544#387C2312yes—
545#387C2314yes—
546#387C2312yes—
547#387C2312yes—
548#387C2312yes—
549#387C2314yes—
550#387C2312yes—
551#387C2312yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2312yes—
566#386C2312yes—
567#386C2312yes—
568#386C2312yes—
569#386C2312yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2312yes—
577#386C2312yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2312yes—
604#385C2312yes—
605#385C2314yes—
606#385C2312yes—
607#385C2312yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#384C2312yes—
614#384C2312yes—
615#384C2312yes—
616#384C2312yes—
617#384C2314yes—
618#383C2314yes—
619#383C2314yes—
620#383C2314yes—
621#382C2312yes—
622#382C2312yes—
623#382C2312yes—
624#382C2312yes—
625#382C2314yes—
626#382C2312yes—
627#382C2312yes—
628#382C2314yes—
629#382C2314yes—
630#381C2314yes—
631#381C2314yes—
632#381C2312yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#380C2314yes—
638#380C2314yes—
639#380C2314yes—
640#380C2314yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2311yescharacteristic
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yes—
652#380C2311yescharacteristic
653#380C2311yescharacteristic
654#380C2312yes—
655#380C2311yescharacteristic
656#380C2314yes—
657#380C2314yes—
658#380C2312yes—
659#380C2312yes—
660#380C2312yes—
661#380C2314yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#379C2314yes—
667#379C2312yes—
668#379C2314yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705#376C2312yes—
706#376C2314yes—
707#376C2314yes—
708C2×#95C2312yes—
709C2×#95C2312yes—
710C2×#95C2311yescharacteristic
711C2×#95C2311yescharacteristic
712C2×#95C2312yes—
713C2×#95C2312yes—
714C43C2312yes—
715C25C2412yes—
716C25C2411yescharacteristic
717C2×#41—24no—
718C2×#41—42no—
719C2×#41—42no—
720C22×Q8C2411yescharacteristic
721C22×D4—28no—
722C22×D4—24no—
723C22×D4—42no—
724C22×D4—42no—
725C22×D4—82no—
726C22×D4—82no—
727C22×D4C2412yes—
728C22×D4C2412yes—
729C22×D4C2414yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2414yes—
733C22×D4C2412yes—
734C22×D4C2411yescharacteristic
735C22×D4C2414yes—
736C22×D4C2414yes—
737C23×C4—42no—
738C23×C4—42no—
739C23×C4#4118yes—
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2412yes—
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762#126—84no—
763#126—84no—
764#126—84no—
765#125—44no—
766#125—44no—
767#125—84no—
768#125—84no—
769#123—28no—
770#123—48no—
771#123—84no—
772C22⋊Q8—24no—
773C22⋊Q8—24no—
774#121—28no—
775#121—28no—
776#121—28no—
777#121—28no—
778#121—24no—
779#121—24no—
780#121—44no—
781#121—44no—
782#121—84no—
783#121—84no—
784#120—28no—
785#120—48no—
786C4×D4—28no—
787C4×D4—28no—
788C4×D4—44no—
789C4×D4—44no—
790C4×D4—44no—
791C4×D4—44no—
792C4×D4—84no—
793C4×D4—84no—
794C4×D4—84no—
795#117—24no—
796#117—24no—
797#117—24no—
798#117—24no—
799#117—28no—
800#117—28no—
801#117—24no—
802#117—42no—
803#117—44no—
804#117—42no—
805#117—48no—
806#117—84no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—24no—
809C2×C4⋊C4—24no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4—82no—
815C2×C4⋊C4—82no—
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C22⋊C4—28no—
871C2×C22⋊C4—28no—
872C2×C22⋊C4—48no—
873C2×C22⋊C4—44no—
874C2×C22⋊C4—44no—
875C2×C22⋊C4—44no—
876C2×C22⋊C4—44no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—82no—
880C2×C22⋊C4—82no—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C42—28no—
939C2×C42—42no—
940C2×C42—44no—
941C2×C42—42no—
942C2×C42C2412yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965#95C2414yes—
966#95C2414yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025C24—22no—
1026C24—22no—
1027C24—24no—
1028C24—24no—
1029C24—24no—
1030C24—41no—
1031C24—41no—
1032C24—41no—
1033C24—41no—
1034C24—42no—
1035C24—42no—
1036C24—42no—
1037C24—42no—
1038C24C2×#4114yes—
1039C24C2514yes—
1040C24C2512yes—
1041C24C2511yescharacteristic
1042C24C2511yescharacteristic
1043C24C2511yescharacteristic
1044#41—88no—
1045C2×Q8—22no—
1046C2×Q8—41no—
1047C2×Q8—41no—
1048C2×D4—24no—
1049C2×D4—28no—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—24no—
1054C2×D4—28no—
1055C2×D4—24no—
1056C2×D4—24no—
1057C2×D4—22no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—88no—
1079C2×D4—816no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—24no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—416no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—44no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—44no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4C2×#4114yes—
1142C22×C4C2×#4114yes—
1143C22×C4C2×#4114yes—
1144C22×C4C2×#4114yes—
1145C22×C4C2×#4114yes—
1146C22×C4C2×#4114yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2514yes—
1156C22×C4C2514yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2514yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2511yescharacteristic
1169C22×C4C2511yescharacteristic
1170C22×C4C2511yescharacteristic
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—24no—
1182C4⋊C4—24no—
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—24no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—24no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—24no—
1239C22⋊C4—24no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C42—24no—
1283C42—24no—
1284C42—24no—
1285C42—24no—
1286C42—24no—
1287C42—24no—
1288C42—24no—
1289C42—24no—
1290C42—24no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—44no—
1296C42—44no—
1297C42—42no—
1298C42—44no—
1299C42—42no—
1300C42—42no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—42no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—28no—
1322C23—22no—
1323C23—24no—
1324C23—22no—
1325C23—24no—
1326C23—24no—
1327C23—22no—
1328C23—24no—
1329C23—24no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—24no—
1335C23—24no—
1336C23—44no—
1337C23—44no—
1338C23—48no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23—82no—
1343C23—84no—
1344C23—84no—
1345C23—84no—
1346C23—84no—
1347C23—84no—
1348C23—84no—
1349C23C22×#4112yes—
1350C23C22×#4112yes—
1351C23C22×#4112yes—
1352C23#58512yes—
1353C23#58512yes—
1354C23C2611yescharacteristic
1355Q8—82no—
1356D4—416no—
1357D4—48no—
1358D4—48no—
1359D4—84no—
1360D4—82no—
1361D4—84no—
1362D4—88no—
1363D4—84no—
1364D4—88no—
1365D4—164no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—28no—
1373C2×C4—28no—
1374C2×C4—28no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—48no—
1441C2×C4—48no—
1442C2×C4—84no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—84no—
1446C2×C4—84no—
1447C2×C4—84no—
1448C2×C4—88no—
1449C2×C4—164no—
1450C2×C4—162no—
1451C2×C4—162no—
1452C2×C4—162no—
1453C2×C4—162no—
1454C2×C4C22×#4112yes—
1455C2×C4C22×#4112yes—
1456C2×C4C22×#4112yes—
1457C2×C4C22×#4112yes—
1458C2×C4#58512yes—
1459C2×C4#58512yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—42no—
1481C22—44no—
1482C22—42no—
1483C22—44no—
1484C22—44no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—44no—
1489C22—44no—
1490C22—44no—
1491C22—42no—
1492C22—44no—
1493C22—42no—
1494C22—88no—
1495C22—168no—
1496C22#351214yes—
1497C22C23×#4111yescharacteristic
1498C22C2×#58511yescharacteristic
1499C22C2×#58511yescharacteristic
1500C22C2×#58511yescharacteristic
1501C22C2×#58511yescharacteristic
1502C22H(7,𝔽2)11yescharacteristic
1503C22H(7,𝔽2)11yescharacteristic
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—44no—
1514C4—42no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—44no—
1520C4—44no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—44no—
1526C4—44no—
1527C4#349114yes—
1528C2—24no—
1529C2—42no—
1530C2—42no—
1531C2—82no—
1532C2—84no—
1533C2C2×#349111yescharacteristic
1534C2C2×#351211yescharacteristic
1535C2#6285511yescharacteristic
1536C2#6291011yescharacteristic
1537C2#6291011yescharacteristic
1538C2#6293511yescharacteristic
1539C2#6293511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37439C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48890C2semidirect
2. #48888C2semidirect
3. #47219C2semidirect
4. #46851C2semidirect
5. #43174C2semidirect
6. #43172C2semidirect
7. #39565C2semidirect
8. #39083C2semidirect
9. #38266C2semidirect
10. #38112C2semidirect
11. #37972C2semidirect
12. #37942C2semidirect
13. #37934C2semidirect
14. #37895C2semidirect
15. #37885C2semidirect
16. #37882C2semidirect
18. #37360C2semidirect
19. #37355C2semidirect
20. #36291C2semidirect
21. #36171C2semidirect
22. #35603C2semidirect
23. #35588C2semidirect
24. #35263C2semidirect
25. #35020C2semidirect
26. C2×#2500C2semidirect
27. #34379C2semidirect
28. #34180C2semidirect
29. #34082C2semidirect
33. #2864C22semidirect
34. #2860C22semidirect
37. #2854C22semidirect
40. #2851C22semidirect
42. #2797C22semidirect
43. #2797C22semidirect
44. #2796C22semidirect
45. #2795C22semidirect
46. #2794C22semidirect
47. #2794C22semidirect
48. #2793C22semidirect
49. #2786C22semidirect
50. #2786C22semidirect
51. #2782C22semidirect
52. #2781C22semidirect
53. #2781C22semidirect
54. #2779C22semidirect
55. #2778C22semidirect
56. #2773C22semidirect
57. #2772C22semidirect
58. #2770C22semidirect
59. #2765C22semidirect
60. #2764C22semidirect
61. #2756C22semidirect
62. #2754C22semidirect
63. #2753C22semidirect
64. #2752C22semidirect
65. #2750C22semidirect
66. #2749C22semidirect
67. #2749C22semidirect
68. #2746C22semidirect
69. #2744C22semidirect
70. #2741C22semidirect
71. #2741C22semidirect
72. #2740C22semidirect
73. #2738C22semidirect
74. #2721C22semidirect
75. #2721C22semidirect
76. #2721C22semidirect
77. #2718C22semidirect
78. #2711C22semidirect
79. #2708C22semidirect
80. #2691C22semidirect
81. #2691C22semidirect
83. #2647C22semidirect
86. #2644C22semidirect
88. #2629C22semidirect
90. #2625C22semidirect
92. #2624C22semidirect
93. #2624C22semidirect
96. #2611C22semidirect
97. #2603C22semidirect
98. #2603C22semidirect
99. #2600C22semidirect
100. #2597C22semidirect
101. #2596C22semidirect
102. #2595C22semidirect
103. #2595C22semidirect
104. #2595C22semidirect
105. #2593C22semidirect
106. #2578C22semidirect
107. #2578C22semidirect
108. #2575C22semidirect
109. #2573C22semidirect
110. #2569C22semidirect
111. #2569C22semidirect
112. #2562C22semidirect
113. #2559C22semidirect
114. #2554C22semidirect
115. #2532C22semidirect
116. #2531C22semidirect
117. #2530C22semidirect
118. #2529C22semidirect
119. #2528C22semidirect
120. #2527C22semidirect
121. #2525C22semidirect
122. #2524C22semidirect
123. #2519C22semidirect
124. #2517C22semidirect
125. #2516C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2509C22semidirect
129. #2508C22semidirect
130. #2506C22semidirect
131. #2506C22semidirect
138. #2498C22semidirect
139. #2496C22semidirect
140. #2496C22semidirect
141. #2495C22semidirect
142. #2494C22semidirect
144. #2490C22semidirect
145. #2490C22semidirect
146. #2490C22semidirect
150. #2485C22semidirect
151. #2485C22semidirect
152. #2485C22semidirect
158. #2476C22semidirect
159. #2475C22semidirect
162. #2471C22semidirect
163. #2468C22semidirect
164. #2468C22semidirect
165. #2467C22semidirect
166. #2467C22semidirect
167. #2460C22semidirect
168. #2457C22semidirect
169. #2454C22semidirect
170. #2454C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
174. #2442C22semidirect
175. #2420C22semidirect
176. #2420C22semidirect
177. #2420C22semidirect
194. #2347C22semidirect
195. #2346C22semidirect
200. #2343C22semidirect
205. #2335C22semidirect
206. #2335C22semidirect
207. #2333C22semidirect
208. #2332C22semidirect
209. #2330C22semidirect
218. #2324C22semidirect
221. #2319C22semidirect
222. #2317C22semidirect
223. #2317C22semidirect
224. #2316C22semidirect
225. #2316C22semidirect
229. #2314C22semidirect
230. #2314C22semidirect
231. #2314C22semidirect
233. #2311C22semidirect
234. #2311C22semidirect
235. C4×#125C22semidirect
236. C4×#121C22semidirect
237. #2298C22semidirect
238. #2297C22semidirect
239. #2293C22semidirect
240. #2293C22semidirect
244. #2290C22semidirect
250. #2283C22semidirect
255. #2274C22semidirect
256. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#488902
#488882
#472192
#468512
#431742
#431722
#395652
#390832
#382662
#381122
#379722
#379422
#379342
#378952
#378852
#378822
#374392
#373602
#373552
#362912
#361712
#356032
#355882
#352632
#350202
C2×#25002
#343792
#341802
#340822