Finite Group Databasebeta

← #7657226

Subgroups — #7657226

Order 512.

6114 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42990C213yesmaximal, complemented
2#42989C213yesmaximal, complemented
3#42977C213yesmaximal, complemented
4#42974C213yesmaximal, complemented
5#42619C213yesmaximal, complemented
6#42616C213yesmaximal, complemented
7#42589C213yesmaximal, complemented
8#42581C213yesmaximal, complemented
9#40053C213yesmaximal, complemented
10#40044C213yesmaximal, complemented
11#39405C213yesmaximal, complemented
12#39396C213yesmaximal, complemented
13#37515C213yesmaximal, complemented
14#37493C213yesmaximal, complemented
15#36585C211yesmaximal, characteristic, complemented
16#36583C211yesmaximal, characteristic, complemented
17#36455C211yesmaximal, characteristic, complemented
18#36433C211yesmaximal, characteristic, complemented
19#36091C211yesmaximal, characteristic, complemented
20#36091C211yesmaximal, characteristic, complemented
21#36049C211yesmaximal, characteristic, complemented
22#36029C211yesmaximal, characteristic, complemented
23#36029C211yesmaximal, characteristic, complemented
24#36005C211yesmaximal, characteristic, complemented
25#35898C211yesmaximal, characteristic, complemented
26#35816C211yesmaximal, characteristic, complemented
27#35007C213yesmaximal, complemented
28#34589C213yesmaximal, complemented
29#34295C211yesmaximal, characteristic, complemented
30#34258C211yesmaximal, characteristic, complemented
31C4×#550C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic, complemented
41C2×#538C2216yescomplemented
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic, complemented
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic, complemented
46#2860C2213yescomplemented
47#2858C2213yescomplemented
48#2856C2213yescomplemented
49#2854C2213yescomplemented
50#2829C2216yescomplemented
51#2828C2216yescomplemented
52#2825C2216yescomplemented
53#2825C2216yescomplemented
54#2797C2216yescomplemented
55#2778C2216yescomplemented
56#2778C2216yescomplemented
57#2735C2216yescomplemented
58#2730C2216yescomplemented
59#2714C2216yescomplemented
60#2703C2216yescomplemented
61#2697C2216yescomplemented
62#2688C2216yescomplemented
63#2685C2216yescomplemented
64#2678C2216yescomplemented
65#2678C2216yescomplemented
66#2678C2216yescomplemented
67#2676C2216yescomplemented
68#2670C2216yescomplemented
69#2668C2216yescomplemented
70#2666C2211yescharacteristic, complemented
71#2665C2213yescomplemented
72#2662C2213yescomplemented
73#2661C2213yescomplemented
74#2661C2216yescomplemented
75#2661C2216yescomplemented
76#2653C2213yescomplemented
77#2653C2213yescomplemented
78#2653C2216yescomplemented
79#2651C2213yescomplemented
80#2650C2213yescomplemented
81#2649C2213yescomplemented
82#2648C2213yescomplemented
83#2648C2213yescomplemented
84#2648C2213yescomplemented
85#2644C2213yescomplemented
86#2641C2213yescomplemented
87#2636C2213yescomplemented
88#2635C2213yescomplemented
89#2631C2213yescomplemented
90#2630C2213yescomplemented
91#2629C2213yescomplemented
92#2624C2213yescomplemented
93#2622C2216yescomplemented
94#2619C2213yescomplemented
95#2619C2213yescomplemented
96#2617C2216yescomplemented
97#2615C2213yes—
98#2615C2213yes—
99#2566C2213yescomplemented
100#2562C2213yescomplemented
101#2555C2216yescomplemented
102#2554C2216yescomplemented
103#2548C2213yescomplemented
104#2548C2213yescomplemented
105#2547C2213yescomplemented
106#2541C2213yescomplemented
107#2541C2213yescomplemented
108#2541C2213yescomplemented
109#2538C2213yescomplemented
110#2537C2213yescomplemented
111#2535C2213yescomplemented
112#2535C2213yescomplemented
113#2513C2213yescomplemented
114#2513C2213yescomplemented
115#2513C2213yescomplemented
116#2513C2213yescomplemented
117#2512C2213yescomplemented
118#2512C2213yescomplemented
119#2501C2213yescomplemented
120#2500C2213yescomplemented
121#2497C2213yescomplemented
122#2496C2213yescomplemented
123#2494C2213yescomplemented
124#2494C2213yescomplemented
125#2494C2213yescomplemented
126#2494C2213yescomplemented
127#2491C2213yescomplemented
128#2491C2213yescomplemented
129#2490C2213yescomplemented
130#2490C2213yescomplemented
131#2490C2213yescomplemented
132#2490C2213yescomplemented
133#2490C2213yescomplemented
134#2490C2213yescomplemented
135#2487C2213yescomplemented
136#2485C2213yescomplemented
137#2472C2216yescomplemented
138#2456C2216yescomplemented
139#2456C2216yescomplemented
140#2454C2213yescomplemented
141#2452C2213yescomplemented
142#2445C2213yescomplemented
143#2445C2213yescomplemented
144#2445C2213yescomplemented
145#2445C2213yescomplemented
146#2442C2213yescomplemented
147#2440C2213yescomplemented
148#2433C2213yes—
149#2433C2213yes—
150#2433C2213yes—
151#2433C2213yes—
152#2433C2213yes—
153#2433C2213yes—
154#2428C2213yescomplemented
155#2428C2213yescomplemented
156#2428C2213yescomplemented
157#2428C2213yescomplemented
158#2428C2213yescomplemented
159#2428C2213yescomplemented
160#2424C2216yescomplemented
161#2424C2216yescomplemented
162#2422C2213yescomplemented
163#2422C2213yescomplemented
164#2422C2213yescomplemented
165#2420C2213yescomplemented
166#2418C2216yescomplemented
167#2416C2213yescomplemented
168#2416C2213yescomplemented
169#2416C2213yescomplemented
170#2416C2213yescomplemented
171#2414C2213yescomplemented
172#2414C2213yescomplemented
173#2408C2213yes—
174#2408C2213yes—
175#2408C2213yes—
176#2408C2213yes—
177#2408C2213yes—
178#2408C2213yes—
179#2401C2213yescomplemented
180#2398C2213yescomplemented
181#2396C2213yescomplemented
182#2395C2213yescomplemented
183#2392C2213yescomplemented
184#2392C2213yescomplemented
185#2388C2213yes—
186#2388C2213yes—
187#2366C2213yescomplemented
188#2366C2213yescomplemented
189#2363C2213yescomplemented
190#2363C2213yescomplemented
191#2363C2213yescomplemented
192#2361C2213yescomplemented
193#2354C2213yescomplemented
194#2352C2213yescomplemented
195#2351C2211yescharacteristic, complemented
196#2351C2211yescharacteristic, complemented
197#2351C2211yescharacteristic, complemented
198Q8×C4⋊C4C2211yescharacteristic, complemented
199Q8×C4⋊C4C2211yescharacteristic, complemented
200Q8×C4⋊C4C2211yescharacteristic, complemented
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206#2341C2211yescharacteristic
207#2341C2211yescharacteristic
208#2341C2211yescharacteristic
209#2341C2211yescharacteristic
210#2341C2211yescharacteristic
211#2341C2211yescharacteristic, complemented
212#2341C2211yescharacteristic, complemented
213#2341C2211yescharacteristic, complemented
214#2341C2211yescharacteristic, complemented
215D4×C22⋊C4C2213yes—
216D4×C22⋊C4C2213yes—
217D4×C22⋊C4C2213yes—
218D4×C22⋊C4C2213yes—
219#2328C2213yescomplemented
220#2324C2213yescomplemented
221#2321C2216yescomplemented
222#2311C2213yes—
223#2309C2213yes—
224C4×#127C2213yescomplemented
225C4×#126C2213yescomplemented
226C4×#124C2213yescomplemented
227C4×#123C2213yescomplemented
228C4×#121C2213yescomplemented
229C4×#121C2213yescomplemented
230C4×#121C2213yescomplemented
231C4×#121C2213yescomplemented
232#2297C2213yes—
233C2×#390C2213yes—
234#2290C2213yescomplemented
235#2276C2211yescharacteristic, complemented
236C42×Q8C2211yescharacteristic, complemented
237C42×D4C2213yescomplemented
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—44no—
240C2×H(5,𝔽2)—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2311yescharacteristic
246C22×#41C2313yes—
247C23×D4C2313yes—
248C23×D4C2313yes—
249C23×D4C2313yes—
250#557—44no—
251#550—28no—
252#550—28no—
253#550—44no—
254#550—44no—
255#550—44no—
256#550—44no—
257#550—44no—
258#538—424no—
259C2×C4⋊Q8C2313yes—
260C2×#127C2313yes—
261C2×#127C2313yes—
262C2×#127C2313yes—
263C2×#127C2313yes—
264C2×#127C2313yes—
265C2×#127C2313yes—
266C2×#127C2313yes—
267C2×#126C2313yes—
268C2×#126C2316yes—
269C2×#125C2313yes—
270C2×#125C2313yes—
271C2×#124C2313yes—
272C2×#124C2316yes—
273C2×#124C2316yes—
274C2×#123C2316yes—
275C2×#123C2313yes—
276C2×#123C2316yes—
277C2×#123C2316yes—
278C2×C22⋊Q8C2316yes—
279C2×#121C2313yes—
280C2×#121C2313yes—
281C2×#121C2313yes—
282C2×#121C2313yes—
283C2×#121C2313yes—
284C2×#121C2316yes—
285C2×#121C2313yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2316yes—
296C2×#121C2316yes—
297C2×#121C2316yes—
298C2×#121C2316yes—
299C2×#121C2316yes—
300C2×#120C2316yes—
301C2×#120C2316yes—
302C2×#120C2316yes—
303C2×#120C2316yes—
304C2×#120C2316yes—
305C2×#120C2316yes—
306#520—44no—
307#520—44no—
308C4×#41—44no—
309C4×#41—44no—
310C2×C4×Q8C2311yescharacteristic
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2313yes—
325C2×C4×D4C2313yes—
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2316yes—
329C2×C4×D4C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yes—
335C2×C4×D4C2313yes—
336C2×C4×D4C2313yes—
337C2×C4×D4C2313yes—
338C2×C4×D4C2313yes—
339C2×C4×D4C2316yes—
340C2×#117C2313yes—
341C2×#117C2313yes—
342C2×#117C2313yes—
343C2×#117C2313yes—
344C22×C4⋊C4C2313yes—
345C22×C4⋊C4C2313yes—
346C22×C22⋊C4C2316yes—
347C22×C22⋊C4C2316yes—
348C22×C42C2313yes—
349C22×C42C2313yes—
350#401C2313yes—
351#401C2316yes—
352#400C2313yes—
353#400C2313yes—
354#400C2311yescharacteristic
355#400C2313yes—
356#400C2311yescharacteristic
357#400C2313yes—
358#400C2313yes—
359#399C2316yes—
360#399C2313yes—
361#399C2313yes—
362#398C2316yes—
363#398C2313yes—
364#398C2311yescharacteristic
365#398C2311yescharacteristic
366#398C2311yescharacteristic
367#398C2311yescharacteristic
368#397C2313yes—
369#397C2313yes—
370#397C2316yes—
371#397C2316yes—
372#397C2316yes—
373#397C2316yes—
374#397C2316yes—
375#397C2316yes—
376#397C2316yes—
377#397C2316yes—
378#397C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2313yes—
383#397C2313yes—
384#397C2313yes—
385#397C2313yes—
386#396C2313yes—
387#396C2316yes—
388#396C2316yes—
389#396C2313yes—
390#396C2316yes—
391#396C2313yes—
392#396C2313yes—
393#396C2313yes—
394#396C2313yes—
395#396C2313yes—
396#395C2311yescharacteristic
397#395C2311yescharacteristic
398#395C2313yes—
399#394C2316yes—
400#394C2313yes—
401#394C2316yes—
402#394C2316yes—
403#394C2316yes—
404#394C2316yes—
405#394C2316yes—
406#394C2316yes—
407#394C2316yes—
408#394C2316yes—
409#394C2316yes—
410#394C2313yes—
411#394C2316yes—
412#394C2316yes—
413#394C2316yes—
414#394C2316yes—
415#394C2313yes—
416#394C2313yes—
417#394C2313yes—
418#394C2313yes—
419#394C2313yes—
420#394C2313yes—
421#394C2313yes—
422#394C2313yes—
423#394C2313yes—
424#394C2313yes—
425#394C2313yes—
426#394C2313yes—
427#394C2313yes—
428#394C2313yes—
429#393C2313yes—
430#393C2313yes—
431#393C2313yes—
432#393C2313yes—
433#393C2313yes—
434#392C2316yes—
435#392C2316yes—
436#392C2316yes—
437#392C2316yes—
438#392C2316yes—
439#392C2316yes—
440#392C2316yes—
441#392C2316yes—
442#392C2313yes—
443#392C2316yes—
444#392C2316yes—
445#392C2316yes—
446#392C2316yes—
447#392C2313yes—
448#392C2313yes—
449#392C2313yes—
450#392C2313yes—
451#392C2313yes—
452#392C2313yes—
453#392C2313yes—
454#391C2313yes—
455#391C2311yescharacteristic
456#391C2313yes—
457#390C2313yes—
458#390C2313yes—
459#390C2316yes—
460#390C2316yes—
461#390C2313yes—
462#390C2316yes—
463#390C2313yes—
464#390C2313yes—
465#390C2313yes—
466#390C2313yes—
467#390C2313yes—
468#390C2313yes—
469#390C2313yes—
470#390C2316yes—
471#390C2316yes—
472#390C2313yes—
473#390C2313yes—
474#390C2313yes—
475#390C2313yes—
476#390C2313yes—
477#390C2313yes—
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2313yes—
484#390C2313yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2316yes—
493#390C2316yes—
494#390C2313yes—
495#390C2313yes—
496#390C2316yes—
497#389C2313yes—
498#389C2313yes—
499#389C2313yes—
500#389C2313yes—
501#389C2313yes—
502#389C2313yes—
503#389C2313yes—
504#389C2313yes—
505#389C2313yes—
506#389C2313yes—
507#389C2313yes—
508#389C2313yes—
509#389C2311yescharacteristic
510#388C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2316yes—
514#388C2316yes—
515#388C2313yes—
516#388C2316yes—
517#388C2313yes—
518#388C2316yes—
519#388C2316yes—
520#388C2316yes—
521#388C2316yes—
522#388C2316yes—
523#388C2316yes—
524#388C2316yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2316yes—
534#387C2313yes—
535#387C2313yes—
536#387C2313yes—
537#387C2313yes—
538#387C2311yescharacteristic
539#387C2311yescharacteristic
540#387C2313yes—
541#387C2316yes—
542#386C2316yes—
543#386C2316yes—
544#386C2316yes—
545#386C2313yes—
546#386C2313yes—
547#386C2316yes—
548#386C2316yes—
549#386C2316yes—
550#386C2316yes—
551#386C2313yes—
552#386C2316yes—
553#386C2316yes—
554#386C2313yes—
555#386C2313yes—
556#386C2316yes—
557#386C2316yes—
558#386C2313yes—
559#386C2316yes—
560#386C2313yes—
561#386C2313yes—
562#386C2313yes—
563#386C2316yes—
564#385C2316yes—
565#385C2316yes—
566#385C2313yes—
567#385C2313yes—
568#385C2313yes—
569#385C2316yes—
570#384C2313yes—
571#384C2313yes—
572#384C2313yes—
573#383C2311yescharacteristic
574#382C2313yes—
575#382C2313yes—
576#382C2313yes—
577#382C2311yescharacteristic
578#381C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2313yes—
582#380C2313yes—
583#380C2313yes—
584#380C2313yes—
585#380C2313yes—
586#380C2313yes—
587#380C2313yes—
588#380C2313yes—
589#380C2313yes—
590#380C2313yes—
591#380C2313yes—
592#380C2313yes—
593#380C2316yes—
594#380C2313yes—
595#379C2316yes—
596#379C2316yes—
597#379C2316yes—
598#379C2316yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C4⋊C4C2313yes—
609C4×C4⋊C4C2313yes—
610C4×C4⋊C4C2313yes—
611C4×C4⋊C4C2311yescharacteristic
612C4×C4⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2313yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627C4×C22⋊C4C2313yes—
628C4×C22⋊C4C2316yes—
629C4×C22⋊C4C2313yes—
630C4×C22⋊C4C2313yes—
631C4×C22⋊C4C2313yes—
632#376C2313yes—
633C43C2313yes—
634C25C2416yes—
635H(5,𝔽2)—464no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—24no—
643C2×#41—24no—
644C2×#41—24no—
645C2×#41—24no—
646C2×#41—24no—
647C2×#41—24no—
648C2×#41—24no—
649C2×#41—24no—
650C2×#41—212no—
651C2×#41—46no—
652C2×#41—46no—
653C2×#41#4118yes—
654C22×Q8C2413yes—
655C22×Q8C2411yescharacteristic
656C22×Q8C2411yescharacteristic
657C22×D4—212no—
658C22×D4—212no—
659C22×D4—212no—
660C22×D4—46no—
661C22×D4—46no—
662C22×D4—46no—
663C22×D4—46no—
664C22×D4—46no—
665C22×D4—46no—
666C22×D4C2413yes—
667C22×D4C2413yes—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2413yes—
673C22×D4C2416yes—
674C22×D4C2416yes—
675C22×D4C2413yes—
676C22×D4C2413yes—
677C22×D4C2413yes—
678C22×D4C2413yes—
679C22×D4C2413yes—
680C22×D4C2413yes—
681C22×D4C2413yes—
682C22×D4C2413yes—
683C22×D4C2416yes—
684C22×D4C2416yes—
685C22×D4C2416yes—
686C22×D4C2416yes—
687C22×D4C2416yes—
688C23×C4C2413yes—
689C23×C4C2413yes—
690C23×C4C2413yes—
691C23×C4C2413yes—
692C23×C4C2413yes—
693C23×C4C2413yes—
694C23×C4C2413yes—
695C23×C4C2413yes—
696C23×C4C2416yes—
697C23×C4C2413yes—
698C23×C4C2416yes—
699C4⋊Q8—46no—
700#127—212no—
701#127—212no—
702#127—46no—
703#127—46no—
704#127—46no—
705#127—46no—
706#127—46no—
707#126—212no—
708#126—412no—
709#125—46no—
710#125—46no—
711#124—212no—
712#124—412no—
713#124—86no—
714#123—412no—
715#123—46no—
716#123—412no—
717#123—86no—
718C22⋊Q8—412no—
719#121—212no—
720#121—212no—
721#121—212no—
722#121—212no—
723#121—412no—
724#121—412no—
725#121—412no—
726#121—46no—
727#121—46no—
728#121—46no—
729#121—46no—
730#121—46no—
731#121—46no—
732#121—46no—
733#121—46no—
734#121—46no—
735#121—46no—
736#121—46no—
737#121—86no—
738#121—86no—
739#121—86no—
740#120—412no—
741#120—412no—
742#120—412no—
743#120—86no—
744#120—86no—
745#120—86no—
746C4×Q8—24no—
747C4×Q8—24no—
748C4×Q8—24no—
749C4×Q8—24no—
750C4×Q8—24no—
751C4×Q8—24no—
752C4×Q8—24no—
753C4×Q8—24no—
754C4×Q8—24no—
755C4×Q8—24no—
756C4×Q8—46no—
757C4×D4—212no—
758C4×D4—212no—
759C4×D4—212no—
760C4×D4—46no—
761C4×D4—46no—
762C4×D4—46no—
763C4×D4—46no—
764C4×D4—46no—
765C4×D4—46no—
766C4×D4—46no—
767C4×D4—46no—
768C4×D4—46no—
769C4×D4—46no—
770C4×D4—46no—
771C4×D4—46no—
772C4×D4—46no—
773C4×D4—46no—
774C4×D4—412no—
775C4×D4—86no—
776#117—46no—
777#117—46no—
778#117—46no—
779#117—46no—
780C2×C4⋊C4—46no—
781C2×C4⋊C4—46no—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2413yes—
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2413yes—
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2413yes—
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2413yes—
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2416yes—
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2413yes—
813C2×C4⋊C4C2413yes—
814C2×C4⋊C4C2413yes—
815C2×C4⋊C4C2413yes—
816C2×C4⋊C4C2413yes—
817C2×C4⋊C4C2416yes—
818C2×C4⋊C4C2416yes—
819C2×C4⋊C4C2413yes—
820C2×C4⋊C4C2413yes—
821C2×C4⋊C4C2416yes—
822C2×C22⋊C4—412no—
823C2×C22⋊C4—86no—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2413yes—
834C2×C22⋊C4C2413yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2416yes—
842C2×C22⋊C4C2416yes—
843C2×C22⋊C4C2416yes—
844C2×C22⋊C4C2416yes—
845C2×C22⋊C4C2416yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2413yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2416yes—
851C2×C22⋊C4C2416yes—
852C2×C22⋊C4C2416yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2413yes—
860C2×C22⋊C4C2413yes—
861C2×C22⋊C4C2413yes—
862C2×C22⋊C4C2413yes—
863C2×C22⋊C4C2416yes—
864C2×C22⋊C4C2413yes—
865C2×C22⋊C4C2413yes—
866C2×C22⋊C4C2413yes—
867C2×C22⋊C4C2413yes—
868C2×C22⋊C4C2413yes—
869C2×C22⋊C4C2413yes—
870C2×C22⋊C4C2413yes—
871C2×C22⋊C4C2416yes—
872C2×C22⋊C4C2416yes—
873C2×C22⋊C4C2416yes—
874C2×C22⋊C4C2416yes—
875C2×C22⋊C4C2413yes—
876C2×C22⋊C4C2413yes—
877C2×C22⋊C4C2416yes—
878C2×C22⋊C4C2416yes—
879C2×C22⋊C4C2416yes—
880C2×C22⋊C4C2413yes—
881C2×C22⋊C4C2413yes—
882C2×C22⋊C4C2413yes—
883C2×C22⋊C4C2413yes—
884C2×C22⋊C4C2413yes—
885C2×C22⋊C4C2413yes—
886C2×C42—46no—
887C2×C42—46no—
888C2×C42C2413yes—
889C2×C42C2413yes—
890C2×C42C2413yes—
891C2×C42C2413yes—
892C2×C42C2413yes—
893C2×C42C2413yes—
894C2×C42C2413yes—
895C2×C42C2413yes—
896C2×C42C2413yes—
897C2×C42C2413yes—
898C2×C42C2413yes—
899C2×C42C2413yes—
900C2×C42C2413yes—
901C2×C42C2416yes—
902C2×C42C2413yes—
903C2×C42C2413yes—
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907#95C2411yescharacteristic
908#95C2413yes—
909#95C2413yes—
910#95C2413yes—
911#95C2411yescharacteristic
912#95C2411yescharacteristic
913#95C2413yes—
914#95C2411yescharacteristic
915#95C2411yescharacteristic
916#95C2411yescharacteristic
917#95C2411yescharacteristic
918#95C2411yescharacteristic
919#95C2411yescharacteristic
920#95C2411yescharacteristic
921#95C2411yescharacteristic
922#95C2411yescharacteristic
923#95C2411yescharacteristic
924#95C2411yescharacteristic
925#95C2411yescharacteristic
926#95C2413yes—
927#95C2413yes—
928#95C2413yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2413yes—
937#95C2413yes—
938#95C2413yes—
939#95C2413yes—
940#95C2413yes—
941#95C2416yes—
942#95C2411yescharacteristic
943#95C2411yescharacteristic
944#95C2411yescharacteristic
945#95C2416yes—
946#95C2413yes—
947#95C2413yes—
948#95C2413yes—
949#95C2413yes—
950#95C2413yes—
951#95C2413yes—
952#95C2413yes—
953#95C2416yes—
954#95C2416yes—
955C24—212no—
956C24—46no—
957C24—46no—
958C24—46no—
959C24—46no—
960C24—46no—
961C24—46no—
962C24C2513yes—
963C24C2513yes—
964C24C2513yes—
965C24C2513yes—
966C24C2513yes—
967#41—232no—
968#41—448no—
969#41—416no—
970#41—416no—
971#41—416no—
972#41—416no—
973C2×Q8—22no—
974C2×Q8—26no—
975C2×Q8—41no—
976C2×Q8—41no—
977C2×Q8—43no—
978C2×Q8—43no—
979C2×Q8C2×#4114yes—
980C2×Q8H(5,𝔽2)14yes—
981C2×Q8H(5,𝔽2)14yes—
982C2×D4—26no—
983C2×D4—26no—
984C2×D4—26no—
985C2×D4—26no—
986C2×D4—212no—
987C2×D4—212no—
988C2×D4—26no—
989C2×D4—26no—
990C2×D4—26no—
991C2×D4—26no—
992C2×D4—26no—
993C2×D4—26no—
994C2×D4—26no—
995C2×D4—26no—
996C2×D4—26no—
997C2×D4—26no—
998C2×D4—26no—
999C2×D4—26no—
1000C2×D4—26no—
1001C2×D4—26no—
1002C2×D4—26no—
1003C2×D4—26no—
1004C2×D4—26no—
1005C2×D4—26no—
1006C2×D4—43no—
1007C2×D4—43no—
1008C2×D4—43no—
1009C2×D4—43no—
1010C2×D4—43no—
1011C2×D4—43no—
1012C2×D4—43no—
1013C2×D4—448no—
1014C2×D4—46no—
1015C2×D4—43no—
1016C2×D4—43no—
1017C2×D4—43no—
1018C2×D4—43no—
1019C2×D4—43no—
1020C2×D4—46no—
1021C2×D4—46no—
1022C2×D4—43no—
1023C2×D4—43no—
1024C2×D4—43no—
1025C2×D4—46no—
1026C2×D4—43no—
1027C2×D4—43no—
1028C2×D4—43no—
1029C2×D4—43no—
1030C2×D4—43no—
1031C2×D4—43no—
1032C2×D4—43no—
1033C2×D4—46no—
1034C2×D4—46no—
1035C2×D4—46no—
1036C2×D4—46no—
1037C2×D4—46no—
1038C2×D4—46no—
1039C2×D4—46no—
1040C2×D4—46no—
1041C2×D4—46no—
1042C2×D4—46no—
1043C2×D4—46no—
1044C2×D4—46no—
1045C2×D4—46no—
1046C2×D4—46no—
1047C2×D4—46no—
1048C2×D4—448no—
1049C2×D4—448no—
1050C2×D4C2×#41112yes—
1051C22×C4—26no—
1052C22×C4—26no—
1053C22×C4—26no—
1054C22×C4—26no—
1055C22×C4—26no—
1056C22×C4—26no—
1057C22×C4—26no—
1058C22×C4—26no—
1059C22×C4—26no—
1060C22×C4—26no—
1061C22×C4—26no—
1062C22×C4—26no—
1063C22×C4—26no—
1064C22×C4—26no—
1065C22×C4—26no—
1066C22×C4—26no—
1067C22×C4—26no—
1068C22×C4—43no—
1069C22×C4—43no—
1070C22×C4—43no—
1071C22×C4—43no—
1072C22×C4—43no—
1073C22×C4—43no—
1074C22×C4—43no—
1075C22×C4—43no—
1076C22×C4—43no—
1077C22×C4—46no—
1078C22×C4—46no—
1079C22×C4—46no—
1080C22×C4—46no—
1081C22×C4—46no—
1082C22×C4—46no—
1083C22×C4C2×#41112yes—
1084C22×C4C2511yescharacteristic
1085C22×C4C2511yescharacteristic
1086C22×C4C2511yescharacteristic
1087C22×C4C2511yescharacteristic
1088C22×C4C2513yes—
1089C22×C4C2513yes—
1090C22×C4C2511yescharacteristic
1091C22×C4C2511yescharacteristic
1092C22×C4C2511yescharacteristic
1093C22×C4C2513yes—
1094C22×C4C2511yescharacteristic
1095C22×C4C2513yes—
1096C22×C4C2513yes—
1097C22×C4C2513yes—
1098C22×C4C2511yescharacteristic
1099C22×C4C2513yes—
1100C22×C4C2513yes—
1101C22×C4C2513yes—
1102C22×C4C2513yes—
1103C22×C4C2511yescharacteristic
1104C22×C4C2511yescharacteristic
1105C22×C4C2511yescharacteristic
1106C22×C4C2511yescharacteristic
1107C22×C4C2511yescharacteristic
1108C22×C4C2511yescharacteristic
1109C22×C4C2513yes—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—26no—
1113C4⋊C4—26no—
1114C4⋊C4—26no—
1115C4⋊C4—26no—
1116C4⋊C4—26no—
1117C4⋊C4—26no—
1118C4⋊C4—26no—
1119C4⋊C4—26no—
1120C4⋊C4—26no—
1121C4⋊C4—26no—
1122C4⋊C4—26no—
1123C4⋊C4—26no—
1124C4⋊C4—26no—
1125C4⋊C4—26no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—43no—
1130C4⋊C4—43no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—46no—
1139C4⋊C4—41no—
1140C4⋊C4—43no—
1141C4⋊C4—43no—
1142C4⋊C4—46no—
1143C4⋊C4—43no—
1144C4⋊C4—43no—
1145C4⋊C4—43no—
1146C4⋊C4—46no—
1147C4⋊C4—43no—
1148C4⋊C4—43no—
1149C4⋊C4—46no—
1150C22⋊C4—26no—
1151C22⋊C4—26no—
1152C22⋊C4—26no—
1153C22⋊C4—26no—
1154C22⋊C4—26no—
1155C22⋊C4—26no—
1156C22⋊C4—26no—
1157C22⋊C4—26no—
1158C22⋊C4—26no—
1159C22⋊C4—26no—
1160C22⋊C4—26no—
1161C22⋊C4—26no—
1162C22⋊C4—26no—
1163C22⋊C4—26no—
1164C22⋊C4—26no—
1165C22⋊C4—46no—
1166C22⋊C4—46no—
1167C22⋊C4—43no—
1168C22⋊C4—43no—
1169C22⋊C4—46no—
1170C22⋊C4—46no—
1171C22⋊C4—43no—
1172C22⋊C4—43no—
1173C22⋊C4—43no—
1174C22⋊C4—43no—
1175C22⋊C4—46no—
1176C22⋊C4—46no—
1177C22⋊C4—43no—
1178C22⋊C4—46no—
1179C22⋊C4—43no—
1180C22⋊C4—43no—
1181C22⋊C4—43no—
1182C22⋊C4—43no—
1183C22⋊C4—43no—
1184C22⋊C4—43no—
1185C22⋊C4—43no—
1186C22⋊C4—43no—
1187C22⋊C4—43no—
1188C22⋊C4—43no—
1189C22⋊C4—46no—
1190C22⋊C4—46no—
1191C22⋊C4—46no—
1192C22⋊C4—46no—
1193C22⋊C4—43no—
1194C22⋊C4—43no—
1195C22⋊C4—43no—
1196C22⋊C4—43no—
1197C22⋊C4—43no—
1198C22⋊C4—43no—
1199C22⋊C4—46no—
1200C22⋊C4—46no—
1201C22⋊C4—43no—
1202C22⋊C4—43no—
1203C22⋊C4—46no—
1204C22⋊C4—43no—
1205C22⋊C4—43no—
1206C22⋊C4—46no—
1207C22⋊C4—46no—
1208C22⋊C4—43no—
1209C22⋊C4—43no—
1210C22⋊C4—43no—
1211C22⋊C4—43no—
1212C42—26no—
1213C42—26no—
1214C42—26no—
1215C42—26no—
1216C42—26no—
1217C42—26no—
1218C42—26no—
1219C42—26no—
1220C42—26no—
1221C42—26no—
1222C42—41no—
1223C42—41no—
1224C42—43no—
1225C42—43no—
1226C42—43no—
1227C42—46no—
1228C42—43no—
1229C42—43no—
1230C42H(5,𝔽2)14yescomplemented
1231C23—23no—
1232C23—23no—
1233C23—23no—
1234C23—23no—
1235C23—23no—
1236C23—23no—
1237C23—23no—
1238C23—23no—
1239C23—23no—
1240C23—23no—
1241C23—23no—
1242C23—23no—
1243C23—23no—
1244C23—23no—
1245C23—23no—
1246C23—23no—
1247C23—23no—
1248C23—23no—
1249C23—23no—
1250C23—23no—
1251C23—23no—
1252C23—23no—
1253C23—23no—
1254C23—23no—
1255C23—23no—
1256C23—23no—
1257C23—23no—
1258C23—23no—
1259C23—23no—
1260C23—23no—
1261C23—23no—
1262C23—23no—
1263C23—23no—
1264C23—23no—
1265C23—424no—
1266C23—812no—
1267C23—812no—
1268C23—166no—
1269C23—166no—
1270C23—166no—
1271C23—166no—
1272C23C22×#4116yes—
1273C23C2611yescharacteristic
1274Q8—44no—
1275Q8—86no—
1276Q8#538116yescomplemented
1277D4—224no—
1278D4—412no—
1279D4—412no—
1280D4—412no—
1281D4—412no—
1282D4—412no—
1283D4—412no—
1284D4—412no—
1285D4—412no—
1286D4—86no—
1287D4—86no—
1288D4—812no—
1289D4—812no—
1290D4—86no—
1291D4—86no—
1292D4—86no—
1293D4—86no—
1294D4—166no—
1295D4—166no—
1296D4—166no—
1297D4—166no—
1298D4—166no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—224no—
1310C2×C4—21no—
1311C2×C4—23no—
1312C2×C4—23no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—23no—
1323C2×C4—23no—
1324C2×C4—23no—
1325C2×C4—23no—
1326C2×C4—23no—
1327C2×C4—23no—
1328C2×C4—23no—
1329C2×C4—23no—
1330C2×C4—21no—
1331C2×C4—23no—
1332C2×C4—23no—
1333C2×C4—23no—
1334C2×C4—23no—
1335C2×C4—23no—
1336C2×C4—23no—
1337C2×C4—23no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—23no—
1346C2×C4—23no—
1347C2×C4—23no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—23no—
1354C2×C4—23no—
1355C2×C4—23no—
1356C2×C4—23no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—23no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—23no—
1364C2×C4—23no—
1365C2×C4—23no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—23no—
1369C2×C4—23no—
1370C2×C4—412no—
1371C2×C4—412no—
1372C2×C4—412no—
1373C2×C4—412no—
1374C2×C4—86no—
1375C2×C4—86no—
1376C2×C4—86no—
1377C2×C4—86no—
1378C2×C4—166no—
1379C2×C4—166no—
1380C2×C4C22×#4112yes—
1381C2×C4C22×#4116yes—
1382C2×C4C2×H(5,𝔽2)12yes—
1383C2×C4C2×H(5,𝔽2)12yes—
1384C2×C4C2×H(5,𝔽2)12yes—
1385C2×C4C2×H(5,𝔽2)16yes—
1386C2×C4C2×H(5,𝔽2)16yes—
1387C2×C4#58512yes—
1388C22—26no—
1389C22—26no—
1390C22—26no—
1391C22—43no—
1392C22—43no—
1393C22—43no—
1394C22—43no—
1395C22—43no—
1396C22—43no—
1397C22—43no—
1398C22—43no—
1399C22—43no—
1400C22—43no—
1401C22—43no—
1402C22—43no—
1403C22—43no—
1404C22—43no—
1405C22—43no—
1406C22—43no—
1407C22—43no—
1408C22—43no—
1409C22—43no—
1410C22—43no—
1411C22—43no—
1412C22—43no—
1413C22—43no—
1414C22—43no—
1415C22—43no—
1416C22—43no—
1417C22—43no—
1418C22—43no—
1419C22—43no—
1420C22—43no—
1421C22—43no—
1422C22—43no—
1423C22—1624no—
1424C22C23×#4111yescharacteristic
1425C22C22×H(5,𝔽2)11yescharacteristic
1426C22C22×H(5,𝔽2)11yescharacteristic
1427C22C22×H(5,𝔽2)11yescharacteristic
1428C22C2×#58511yescharacteristic
1429C22H(7,𝔽2)11yescharacteristic
1430C22H(7,𝔽2)11yescharacteristic
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—43no—
1437C4—43no—
1438C4—41no—
1439C4—43no—
1440C4—41no—
1441C4—41no—
1442C4—43no—
1443C4—43no—
1444C4—43no—
1445C4—43no—
1446C4—43no—
1447C4—43no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—43no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4C2×#538112yes—
1457C2—46no—
1458C2—83no—
1459C2—83no—
1460C2—83no—
1461C2—83no—
1462C2C22×#53811yescharacteristic
1463C2#6280011yescharacteristic
1464C2#6285811yescharacteristic
1465C2#6289911yescharacteristic
1466C2#6291611yescharacteristic
1467C2#6291611yescharacteristic
1468C2#6292311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42990C2semidirect
2. #42989C2semidirect
3. #42977C2semidirect
4. #42974C2semidirect
5. #42619C2semidirect
6. #42616C2semidirect
7. #42589C2semidirect
8. #42581C2semidirect
9. #40053C2semidirect
10. #40044C2semidirect
11. #39405C2semidirect
12. #39396C2semidirect
13. #37515C2semidirect
14. #37493C2semidirect
15. #36585C2semidirect
16. #36583C2semidirect
17. #36455C2semidirect
18. #36433C2semidirect
19. #36091C2semidirect
20. #36091C2semidirect
21. #36049C2semidirect
22. #36029C2semidirect
23. #36029C2semidirect
24. #36005C2semidirect
25. #35898C2semidirect
26. #35816C2semidirect
27. #35007C2semidirect
28. #34589C2semidirect
29. #34295C2semidirect
30. #34258C2semidirect
31. C4×#550C2semidirect
33. C2×#557C22semidirect
40. C2×#550C22semidirect
41. C2×#538C22semidirect
43. C2×#520C22semidirect
45. C2×C4×#41C22semidirect
46. #2860C22semidirect
47. #2858C22semidirect
48. #2856C22semidirect
49. #2854C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2825C22semidirect
53. #2825C22semidirect
54. #2797C22semidirect
55. #2778C22semidirect
56. #2778C22semidirect
57. #2735C22semidirect
58. #2730C22semidirect
59. #2714C22semidirect
60. #2703C22semidirect
61. #2697C22semidirect
62. #2688C22semidirect
63. #2685C22semidirect
64. #2678C22semidirect
65. #2678C22semidirect
66. #2678C22semidirect
67. #2676C22semidirect
68. #2670C22semidirect
69. #2668C22semidirect
70. #2666C22semidirect
71. #2665C22semidirect
72. #2662C22semidirect
73. #2661C22semidirect
74. #2661C22semidirect
75. #2661C22semidirect
76. #2653C22semidirect
77. #2653C22semidirect
78. #2653C22semidirect
79. #2651C22semidirect
80. #2650C22semidirect
81. #2649C22semidirect
82. #2648C22semidirect
83. #2648C22semidirect
84. #2648C22semidirect
85. #2644C22semidirect
86. #2641C22semidirect
87. #2636C22semidirect
88. #2635C22semidirect
89. #2631C22semidirect
90. #2630C22semidirect
91. #2629C22semidirect
92. #2624C22semidirect
93. #2622C22semidirect
94. #2619C22semidirect
95. #2619C22semidirect
96. #2617C22semidirect
99. #2566C22semidirect
100. #2562C22semidirect
101. #2555C22semidirect
102. #2554C22semidirect
103. #2548C22semidirect
104. #2548C22semidirect
105. #2547C22semidirect
106. #2541C22semidirect
107. #2541C22semidirect
108. #2541C22semidirect
109. #2538C22semidirect
110. #2537C22semidirect
111. #2535C22semidirect
112. #2535C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2513C22semidirect
116. #2513C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2501C22semidirect
120. #2500C22semidirect
121. #2497C22semidirect
122. #2496C22semidirect
123. #2494C22semidirect
124. #2494C22semidirect
125. #2494C22semidirect
126. #2494C22semidirect
127. #2491C22semidirect
128. #2491C22semidirect
129. #2490C22semidirect
130. #2490C22semidirect
131. #2490C22semidirect
132. #2490C22semidirect
133. #2490C22semidirect
134. #2490C22semidirect
135. #2487C22semidirect
136. #2485C22semidirect
137. #2472C22semidirect
138. #2456C22semidirect
139. #2456C22semidirect
140. #2454C22semidirect
141. #2452C22semidirect
142. #2445C22semidirect
143. #2445C22semidirect
144. #2445C22semidirect
145. #2445C22semidirect
146. #2442C22semidirect
147. #2440C22semidirect
154. #2428C22semidirect
155. #2428C22semidirect
156. #2428C22semidirect
157. #2428C22semidirect
158. #2428C22semidirect
159. #2428C22semidirect
160. #2424C22semidirect
161. #2424C22semidirect
162. #2422C22semidirect
163. #2422C22semidirect
164. #2422C22semidirect
165. #2420C22semidirect
166. #2418C22semidirect
167. #2416C22semidirect
168. #2416C22semidirect
169. #2416C22semidirect
170. #2416C22semidirect
171. #2414C22semidirect
172. #2414C22semidirect
179. #2401C22semidirect
180. #2398C22semidirect
181. #2396C22semidirect
182. #2395C22semidirect
183. #2392C22semidirect
184. #2392C22semidirect
187. #2366C22semidirect
188. #2366C22semidirect
189. #2363C22semidirect
190. #2363C22semidirect
191. #2363C22semidirect
192. #2361C22semidirect
193. #2354C22semidirect
194. #2352C22semidirect
195. #2351C22semidirect
196. #2351C22semidirect
197. #2351C22semidirect
198. Q8×C4⋊C4C22semidirect
199. Q8×C4⋊C4C22semidirect
200. Q8×C4⋊C4C22semidirect
211. #2341C22semidirect
212. #2341C22semidirect
213. #2341C22semidirect
214. #2341C22semidirect
219. #2328C22semidirect
220. #2324C22semidirect
221. #2321C22semidirect
224. C4×#127C22semidirect
225. C4×#126C22semidirect
226. C4×#124C22semidirect
227. C4×#123C22semidirect
228. C4×#121C22semidirect
229. C4×#121C22semidirect
230. C4×#121C22semidirect
231. C4×#121C22semidirect
234. #2290C22semidirect
235. #2276C22semidirect
236. C42×Q8C22semidirect
237. C42×D4C22semidirect
1230. C42H(5,𝔽2)semidirect
1276. Q8#538semidirect

Maximal subgroups

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

subgroupindex
#429902
#429892
#429772
#429742
#426192
#426162
#425892
#425812
#400532
#400442
#394052
#393962
#375152
#374932
#365852
#365832
#364552
#364332
#360912
#360492
#360292
#360052
#358982
#358162
#350072
#345892
#342952
#342582
C4×#5502