Finite Group Databasebeta

← #7658883

Subgroups — #7658883

Order 512.

5684 conjugacy classes of subgroups.

The subgroup lattice has 1433 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42976C213yesmaximal, complemented
2#42974C213yesmaximal, complemented
3#42923C213yesmaximal, complemented
4#42919C213yesmaximal, complemented
5#42616C213yesmaximal, complemented
6#42606C213yesmaximal, complemented
7#42586C213yesmaximal, complemented
8#42581C213yesmaximal, complemented
9#42575C213yesmaximal, complemented
10#42563C213yesmaximal, complemented
11#42544C213yesmaximal, complemented
12#42535C213yesmaximal, complemented
13#37512C213yesmaximal, complemented
14#37493C213yesmaximal, complemented
15#37492C213yesmaximal, complemented
16#36670C213yesmaximal, complemented
17#36091C211yesmaximal, characteristic, complemented
18#36082C211yesmaximal, characteristic, complemented
19#36049C211yesmaximal, characteristic, complemented
20#36018C211yesmaximal, characteristic, complemented
21#36005C211yesmaximal, characteristic, complemented
22#35898C211yesmaximal, characteristic, complemented
23#35898C211yesmaximal, characteristic, complemented
24#35854C211yesmaximal, characteristic, complemented
25#35831C211yesmaximal, characteristic, complemented
26#35831C211yesmaximal, characteristic, complemented
27#35816C211yesmaximal, characteristic, complemented
28#35801C211yesmaximal, characteristic, complemented
29#34295C211yesmaximal, characteristic, complemented
30#34293C211yesmaximal, characteristic, complemented
31#34258C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic, complemented
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic, complemented
43C2×#519C2211yescharacteristic, complemented
44C2×C4×#41C2211yescharacteristic
45#2833C2213yescomplemented
46#2832C2213yescomplemented
47#2831C2211yescharacteristic, complemented
48#2831C2213yescomplemented
49#2830C2213yescomplemented
50#2829C2213yescomplemented
51#2829C2213yescomplemented
52#2829C2216yescomplemented
53#2828C2213yescomplemented
54#2827C2213yescomplemented
55#2827C2213yescomplemented
56#2826C2213yescomplemented
57#2826C2213yescomplemented
58#2825C2213yescomplemented
59#2825C2213yescomplemented
60#2824C2213yescomplemented
61#2824C2213yescomplemented
62#2781C2216yescomplemented
63#2778C2216yescomplemented
64#2778C2216yescomplemented
65#2753C2216yescomplemented
66#2741C2216yescomplemented
67#2735C2216yescomplemented
68#2714C2216yescomplemented
69#2697C2216yescomplemented
70#2697C2216yescomplemented
71#2696C2216yescomplemented
72#2685C2216yescomplemented
73#2685C2216yescomplemented
74#2685C2216yescomplemented
75#2684C2216yescomplemented
76#2678C2216yescomplemented
77#2676C2216yescomplemented
78#2662C2216yescomplemented
79#2661C2216yescomplemented
80#2651C2216yescomplemented
81#2648C2216yescomplemented
82#2648C2216yescomplemented
83#2648C2216yescomplemented
84#2644C2213yescomplemented
85#2644C2213yescomplemented
86#2641C2213yescomplemented
87#2640C2213yescomplemented
88#2636C2216yescomplemented
89#2630C2216yescomplemented
90#2629C2213yescomplemented
91#2626C2216yescomplemented
92#2624C2213yescomplemented
93#2624C2213yescomplemented
94#2622C2216yescomplemented
95#2622C2216yescomplemented
96#2620C2213yescomplemented
97#2620C2213yescomplemented
98#2619C2213yescomplemented
99#2617C2216yescomplemented
100#2616C2213yes—
101#2615C2213yes—
102#2592C2213yescomplemented
103#2574C2216yescomplemented
104#2566C2213yescomplemented
105#2563C2213yescomplemented
106#2562C2213yescomplemented
107#2554C2216yescomplemented
108#2548C2213yescomplemented
109#2548C2213yescomplemented
110#2544C2213yescomplemented
111#2544C2213yescomplemented
112#2538C2213yescomplemented
113#2537C2213yescomplemented
114#2537C2213yescomplemented
115#2536C2213yescomplemented
116#2513C2213yescomplemented
117#2513C2213yescomplemented
118#2512C2213yescomplemented
119#2512C2213yescomplemented
120#2512C2213yescomplemented
121#2512C2213yescomplemented
122#2501C2213yescomplemented
123#2500C2213yescomplemented
124#2497C2213yescomplemented
125#2497C2213yescomplemented
126#2496C2213yescomplemented
127#2496C2213yescomplemented
128#2494C2213yescomplemented
129#2494C2213yescomplemented
130#2491C2213yescomplemented
131#2491C2213yescomplemented
132#2490C2213yescomplemented
133#2490C2213yescomplemented
134#2490C2213yescomplemented
135#2490C2213yescomplemented
136#2489C2213yescomplemented
137#2489C2213yescomplemented
138#2487C2213yescomplemented
139#2485C2213yescomplemented
140#2480C2216yescomplemented
141#2472C2216yescomplemented
142#2454C2213yescomplemented
143#2452C2213yescomplemented
144#2448C2213yescomplemented
145#2448C2213yescomplemented
146#2445C2213yescomplemented
147#2445C2213yescomplemented
148#2442C2213yescomplemented
149#2440C2213yescomplemented
150#2435C2213yes—
151#2435C2213yes—
152#2435C2213yes—
153#2433C2213yes—
154#2433C2213yes—
155#2433C2213yes—
156#2428C2213yescomplemented
157#2428C2213yescomplemented
158#2427C2213yescomplemented
159#2427C2213yescomplemented
160#2426C2213yescomplemented
161#2426C2213yescomplemented
162#2424C2216yescomplemented
163#2423C2213yescomplemented
164#2422C2213yescomplemented
165#2422C2213yescomplemented
166#2421C2213yescomplemented
167#2418C2216yescomplemented
168#2417C2213yescomplemented
169#2417C2213yescomplemented
170#2416C2213yescomplemented
171#2416C2213yescomplemented
172#2414C2213yescomplemented
173#2414C2213yescomplemented
174#2408C2213yes—
175#2408C2213yes—
176#2408C2213yes—
177#2408C2213yes—
178#2408C2213yes—
179#2408C2213yes—
180#2401C2213yescomplemented
181#2401C2213yescomplemented
182#2398C2213yescomplemented
183#2398C2213yescomplemented
184#2396C2213yescomplemented
185#2395C2213yescomplemented
186#2395C2213yescomplemented
187#2392C2213yescomplemented
188#2392C2213yescomplemented
189#2392C2213yescomplemented
190#2388C2213yes—
191#2388C2213yes—
192#2367C2213yescomplemented
193#2366C2213yescomplemented
194#2363C2213yescomplemented
195#2363C2213yescomplemented
196#2362C2213yescomplemented
197#2361C2213yescomplemented
198#2354C2213yescomplemented
199#2352C2213yescomplemented
200#2351C2211yescharacteristic, complemented
201#2351C2211yescharacteristic, complemented
202Q8×C4⋊C4C2211yescharacteristic, complemented
203Q8×C4⋊C4C2211yescharacteristic, complemented
204Q8×C4⋊C4C2211yescharacteristic, complemented
205Q8×C4⋊C4C2211yescharacteristic, complemented
206#2341C2211yescharacteristic
207#2341C2211yescharacteristic
208#2341C2211yescharacteristic
209#2341C2211yescharacteristic
210#2341C2211yescharacteristic
211#2341C2211yescharacteristic
212#2341C2211yescharacteristic
213#2341C2211yescharacteristic
214#2341C2211yescharacteristic
215#2341C2211yescharacteristic
216#2341C2211yescharacteristic, complemented
217#2341C2211yescharacteristic, complemented
218Q8×C22⋊C4C2211yescharacteristic, complemented
219Q8×C22⋊C4C2211yescharacteristic, complemented
220D4×C22⋊C4C2213yes—
221D4×C22⋊C4C2213yes—
222D4×C22⋊C4C2213yes—
223D4×C22⋊C4C2213yes—
224#2328C2213yescomplemented
225#2326C2213yescomplemented
226#2324C2213yescomplemented
227#2324C2213yescomplemented
228#2311C2213yes—
229#2309C2213yes—
230C4×C22⋊Q8C2213yescomplemented
231C4×#121C2213yescomplemented
232#2297C2213yes—
233C2×#390C2213yes—
234#2290C2213yescomplemented
235#2290C2213yescomplemented
236#2276C2211yescharacteristic, complemented
237#2276C2211yescharacteristic, complemented
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—44no—
240C2×H(5,𝔽2)—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2313yes—
246C23×Q8C2311yescharacteristic
247C23×D4C2313yes—
248C23×D4C2313yes—
249C23×D4C2313yes—
250#557—44no—
251#550—28no—
252#550—44no—
253#550—44no—
254#548—28no—
255#548—44no—
256#548—44no—
257#548—44no—
258C2×C4⋊Q8C2313yes—
259C2×#127C2313yes—
260C2×#127C2313yes—
261C2×#127C2313yes—
262C2×#126C2316yes—
263C2×#126C2316yes—
264C2×#125C2313yes—
265C2×#125C2313yes—
266C2×#124C2313yes—
267C2×#124C2313yes—
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×#124C2316yes—
271C2×#123C2316yes—
272C2×#123C2316yes—
273C2×C22⋊Q8C2313yes—
274C2×C22⋊Q8C2313yes—
275C2×C22⋊Q8C2313yes—
276C2×C22⋊Q8C2313yes—
277C2×C22⋊Q8C2316yes—
278C2×#121C2313yes—
279C2×#121C2313yes—
280C2×#121C2313yes—
281C2×#121C2313yes—
282C2×#121C2313yes—
283C2×#121C2313yes—
284C2×#121C2313yes—
285C2×#121C2313yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2316yes—
289C2×#121C2316yes—
290C2×#120C2316yes—
291C2×#120C2316yes—
292C2×#120C2316yes—
293C2×#120C2316yes—
294#520—44no—
295#520—44no—
296#519—44no—
297C4×#41—44no—
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2311yescharacteristic
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2313yes—
309C2×C4×Q8C2313yes—
310C2×C4×Q8C2313yes—
311C2×C4×D4C2313yes—
312C2×C4×D4C2313yes—
313C2×C4×D4C2313yes—
314C2×C4×D4C2313yes—
315C2×C4×D4C2313yes—
316C2×C4×D4C2313yes—
317C2×C4×D4C2313yes—
318C2×C4×D4C2313yes—
319C2×C4×D4C2313yes—
320C2×C4×D4C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2316yes—
325C2×#117C2313yes—
326C2×#117C2313yes—
327C2×#117C2313yes—
328C2×#117C2313yes—
329C2×#117C2313yes—
330C22×C4⋊C4C2313yes—
331C22×C4⋊C4C2313yes—
332C22×C22⋊C4C2316yes—
333C22×C22⋊C4C2316yes—
334C22×C42C2313yes—
335#401C2313yes—
336#401C2313yes—
337#400C2313yes—
338#400C2311yescharacteristic
339#400C2313yes—
340#400C2313yes—
341#400C2313yes—
342#400C2311yescharacteristic
343#400C2313yes—
344#400C2313yes—
345#400C2311yescharacteristic
346#400C2313yes—
347#400C2313yes—
348#400C2313yes—
349#400C2313yes—
350#399C2313yes—
351#399C2313yes—
352#399C2313yes—
353#399C2316yes—
354#399C2316yes—
355#398C2311yescharacteristic
356#398C2313yes—
357#398C2313yes—
358#398C2313yes—
359#398C2311yescharacteristic
360#398C2316yes—
361#398C2313yes—
362#398C2313yes—
363#397C2311yescharacteristic
364#397C2313yes—
365#397C2313yes—
366#397C2313yes—
367#397C2311yescharacteristic
368#397C2311yescharacteristic
369#397C2313yes—
370#397C2313yes—
371#397C2313yes—
372#397C2313yes—
373#397C2313yes—
374#397C2313yes—
375#397C2313yes—
376#397C2313yes—
377#397C2313yes—
378#397C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2316yes—
383#397C2316yes—
384#397C2316yes—
385#397C2316yes—
386#397C2316yes—
387#397C2316yes—
388#397C2316yes—
389#396C2313yes—
390#396C2316yes—
391#396C2313yes—
392#396C2311yescharacteristic
393#396C2313yes—
394#396C2313yes—
395#396C2313yes—
396#396C2313yes—
397#396C2313yes—
398#396C2311yescharacteristic
399#396C2316yes—
400#396C2313yes—
401#396C2316yes—
402#396C2316yes—
403#396C2316yes—
404#396C2316yes—
405#395C2313yes—
406#395C2313yes—
407#395C2311yescharacteristic
408#394C2316yes—
409#394C2313yes—
410#394C2313yes—
411#394C2313yes—
412#394C2313yes—
413#394C2313yes—
414#394C2313yes—
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#394C2313yes—
430#394C2313yes—
431#394C2313yes—
432#394C2316yes—
433#394C2316yes—
434#394C2316yes—
435#394C2316yes—
436#394C2316yes—
437#394C2316yes—
438#394C2316yes—
439#394C2316yes—
440#394C2316yes—
441#394C2316yes—
442#394C2316yes—
443#394C2316yes—
444#394C2316yes—
445#394C2316yes—
446#393C2313yes—
447#393C2316yes—
448#393C2313yes—
449#393C2313yes—
450#393C2313yes—
451#393C2313yes—
452#393C2313yes—
453#393C2311yescharacteristic
454#392C2313yes—
455#392C2313yes—
456#392C2313yes—
457#392C2313yes—
458#392C2313yes—
459#392C2313yes—
460#392C2313yes—
461#392C2313yes—
462#392C2313yes—
463#392C2316yes—
464#392C2316yes—
465#392C2316yes—
466#392C2316yes—
467#391C2313yes—
468#391C2311yescharacteristic
469#391C2313yes—
470#391C2313yes—
471#391C2313yes—
472#391C2313yes—
473#390C2316yes—
474#390C2313yes—
475#390C2316yes—
476#390C2313yes—
477#390C2313yes—
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2316yes—
484#390C2316yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#390C2313yes—
495#390C2313yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2316yes—
504#390C2316yes—
505#390C2316yes—
506#389C2313yes—
507#389C2313yes—
508#389C2313yes—
509#389C2313yes—
510#389C2313yes—
511#389C2313yes—
512#389C2313yes—
513#389C2313yes—
514#389C2313yes—
515#389C2313yes—
516#389C2313yes—
517#389C2313yes—
518#388C2316yes—
519#388C2316yes—
520#388C2311yescharacteristic
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2316yes—
525#388C2316yes—
526#388C2316yes—
527#388C2316yes—
528#388C2316yes—
529#388C2316yes—
530#388C2316yes—
531#388C2316yes—
532#388C2316yes—
533#388C2316yes—
534#388C2316yes—
535#388C2316yes—
536#388C2316yes—
537#388C2316yes—
538#388C2316yes—
539#387C2313yes—
540#387C2313yes—
541#387C2313yes—
542#387C2316yes—
543#387C2316yes—
544#387C2316yes—
545#387C2311yescharacteristic
546#386C2316yes—
547#386C2316yes—
548#386C2313yes—
549#386C2313yes—
550#386C2313yes—
551#386C2313yes—
552#386C2313yes—
553#386C2313yes—
554#386C2313yes—
555#386C2313yes—
556#386C2316yes—
557#386C2316yes—
558#386C2316yes—
559#386C2316yes—
560#386C2316yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#385C2316yes—
565#385C2316yes—
566#385C2313yes—
567#385C2313yes—
568#385C2313yes—
569#385C2313yes—
570#385C2316yes—
571#385C2316yes—
572#384C2313yes—
573#384C2313yes—
574#384C2313yes—
575#384C2313yes—
576#382C2316yes—
577#382C2313yes—
578#382C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2313yes—
582#380C2313yes—
583#380C2313yes—
584#380C2313yes—
585#380C2313yes—
586#380C2313yes—
587#380C2313yes—
588#380C2313yes—
589#380C2316yes—
590#380C2313yes—
591#380C2313yes—
592#380C2313yes—
593#380C2313yes—
594#380C2316yes—
595#380C2316yes—
596#379C2316yes—
597#379C2316yes—
598#379C2316yes—
599#379C2316yes—
600#379C2316yes—
601#379C2316yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2316yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C4⋊C4C2313yes—
609C4×C4⋊C4C2313yes—
610C4×C4⋊C4C2313yes—
611C4×C4⋊C4C2313yes—
612C4×C4⋊C4C2313yes—
613C4×C4⋊C4C2313yes—
614C4×C4⋊C4C2313yes—
615C4×C22⋊C4C2316yes—
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⋊C4C2313yes—
629C4×C22⋊C4C2313yes—
630C4×C22⋊C4C2316yes—
631#376C2313yes—
632#376C2313yes—
633C25C2416yes—
634H(5,𝔽2)—464no—
635C2×#41—24no—
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—212no—
647C2×#41—46no—
648C2×#41—46no—
649C2×#41#4118yes—
650C22×Q8—24no—
651C22×Q8—24no—
652C22×Q8—24no—
653C22×Q8C2413yes—
654C22×Q8C2411yescharacteristic
655C22×Q8C2413yes—
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×D4C2416yes—
672C22×D4C2413yes—
673C22×D4C2413yes—
674C22×D4C2413yes—
675C22×D4C2413yes—
676C22×D4C2413yes—
677C22×D4C2413yes—
678C22×D4C2413yes—
679C22×D4C2413yes—
680C22×D4C2413yes—
681C22×D4C2416yes—
682C22×D4C2416yes—
683C23×C4C2413yes—
684C23×C4C2413yes—
685C23×C4C2413yes—
686C23×C4C2413yes—
687C23×C4C2413yes—
688C23×C4C2416yes—
689C23×C4C2413yes—
690C23×C4C2413yes—
691C23×C4C2416yes—
692C4⋊Q8—46no—
693#127—212no—
694#127—46no—
695#127—46no—
696#126—86no—
697#126—86no—
698#125—46no—
699#125—46no—
700#124—212no—
701#124—46no—
702#124—46no—
703#124—46no—
704#124—86no—
705#123—86no—
706#123—86no—
707C22⋊Q8—212no—
708C22⋊Q8—46no—
709C22⋊Q8—46no—
710C22⋊Q8—46no—
711C22⋊Q8—86no—
712#121—212no—
713#121—212no—
714#121—212no—
715#121—46no—
716#121—46no—
717#121—46no—
718#121—46no—
719#121—46no—
720#121—46no—
721#121—46no—
722#121—86no—
723#121—86no—
724#120—86no—
725#120—86no—
726#120—86no—
727#120—86no—
728C4×Q8—24no—
729C4×Q8—24no—
730C4×Q8—24no—
731C4×Q8—24no—
732C4×Q8—24no—
733C4×Q8—24no—
734C4×Q8—24no—
735C4×Q8—24no—
736C4×Q8—24no—
737C4×Q8—24no—
738C4×Q8—46no—
739C4×Q8—46no—
740C4×Q8—46no—
741C4×D4—212no—
742C4×D4—212no—
743C4×D4—46no—
744C4×D4—46no—
745C4×D4—46no—
746C4×D4—46no—
747C4×D4—46no—
748C4×D4—46no—
749C4×D4—46no—
750C4×D4—46no—
751C4×D4—46no—
752C4×D4—46no—
753C4×D4—46no—
754C4×D4—86no—
755#117—46no—
756#117—46no—
757#117—46no—
758#117—46no—
759#117—46no—
760C2×C4⋊C4—46no—
761C2×C4⋊C4—46no—
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2413yes—
764C2×C4⋊C4C2413yes—
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2413yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2413yes—
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2413yes—
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2413yes—
789C2×C4⋊C4C2416yes—
790C2×C4⋊C4C2416yes—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2416yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2416yes—
796C2×C4⋊C4C2416yes—
797C2×C4⋊C4C2413yes—
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2413yes—
800C2×C4⋊C4C2413yes—
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C22⋊C4—86no—
806C2×C22⋊C4—86no—
807C2×C22⋊C4C2411yescharacteristic
808C2×C22⋊C4C2413yes—
809C2×C22⋊C4C2413yes—
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2416yes—
812C2×C22⋊C4C2413yes—
813C2×C22⋊C4C2413yes—
814C2×C22⋊C4C2413yes—
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2416yes—
817C2×C22⋊C4C2416yes—
818C2×C22⋊C4C2416yes—
819C2×C22⋊C4C2416yes—
820C2×C22⋊C4C2411yescharacteristic
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2416yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2411yescharacteristic
828C2×C22⋊C4C2411yescharacteristic
829C2×C22⋊C4C2411yescharacteristic
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2416yes—
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⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C22⋊C4C2416yes—
846C2×C22⋊C4C2416yes—
847C2×C22⋊C4C2416yes—
848C2×C22⋊C4C2416yes—
849C2×C22⋊C4C2416yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2416yes—
853C2×C22⋊C4C2416yes—
854C2×C22⋊C4C2416yes—
855C2×C22⋊C4C2416yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2413yes—
860C2×C22⋊C4C2413yes—
861C2×C22⋊C4C2413yes—
862C2×C22⋊C4C2413yes—
863C2×C22⋊C4C2413yes—
864C2×C22⋊C4C2413yes—
865C2×C22⋊C4C2411yescharacteristic
866C2×C22⋊C4C2411yescharacteristic
867C2×C22⋊C4C2413yes—
868C2×C22⋊C4C2413yes—
869C2×C22⋊C4C2413yes—
870C2×C22⋊C4C2413yes—
871C2×C22⋊C4C2416yes—
872C2×C42—46no—
873C2×C42C2413yes—
874C2×C42C2413yes—
875C2×C42C2413yes—
876C2×C42C2413yes—
877C2×C42C2413yes—
878C2×C42C2413yes—
879C2×C42C2413yes—
880C2×C42C2413yes—
881C2×C42C2413yes—
882C2×C42C2413yes—
883C2×C42C2413yes—
884C2×C42C2416yes—
885C2×C42C2416yes—
886C2×C42C2416yes—
887C2×C42C2411yescharacteristic
888#95C2411yescharacteristic
889#95C2411yescharacteristic
890#95C2413yes—
891#95C2413yes—
892#95C2413yes—
893#95C2413yes—
894#95C2413yes—
895#95C2413yes—
896#95C2413yes—
897#95C2411yescharacteristic
898#95C2413yes—
899#95C2411yescharacteristic
900#95C2411yescharacteristic
901#95C2411yescharacteristic
902#95C2411yescharacteristic
903#95C2411yescharacteristic
904#95C2411yescharacteristic
905#95C2411yescharacteristic
906#95C2411yescharacteristic
907#95C2411yescharacteristic
908#95C2411yescharacteristic
909#95C2411yescharacteristic
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2416yes—
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2411yescharacteristic
927#95C2411yescharacteristic
928#95C2416yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2413yes—
937#95C2413yes—
938#95C2416yes—
939#95C2416yes—
940C24—212no—
941C24—46no—
942C24—46no—
943C24—46no—
944C24—46no—
945C24—46no—
946C24—46no—
947C24C2513yes—
948C24C2513yes—
949C24C2511yescharacteristic
950C24C2513yes—
951C24C2513yes—
952#41—232no—
953#41—448no—
954#41—416no—
955#41—416no—
956#41—416no—
957C2×Q8—26no—
958C2×Q8—22no—
959C2×Q8—26no—
960C2×Q8—26no—
961C2×Q8—41no—
962C2×Q8—41no—
963C2×Q8—43no—
964C2×Q8—43no—
965C2×Q8—43no—
966C2×Q8—416no—
967C2×Q8C2×#4114yes—
968C2×Q8H(5,𝔽2)14yes—
969C2×Q8H(5,𝔽2)14yes—
970C2×D4—26no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—26no—
974C2×D4—212no—
975C2×D4—26no—
976C2×D4—26no—
977C2×D4—26no—
978C2×D4—26no—
979C2×D4—26no—
980C2×D4—26no—
981C2×D4—26no—
982C2×D4—26no—
983C2×D4—26no—
984C2×D4—26no—
985C2×D4—26no—
986C2×D4—26no—
987C2×D4—43no—
988C2×D4—43no—
989C2×D4—43no—
990C2×D4—43no—
991C2×D4—43no—
992C2×D4—43no—
993C2×D4—448no—
994C2×D4—43no—
995C2×D4—43no—
996C2×D4—43no—
997C2×D4—43no—
998C2×D4—43no—
999C2×D4—46no—
1000C2×D4—43no—
1001C2×D4—43no—
1002C2×D4—43no—
1003C2×D4—43no—
1004C2×D4—43no—
1005C2×D4—43no—
1006C2×D4—46no—
1007C2×D4—43no—
1008C2×D4—43no—
1009C2×D4—43no—
1010C2×D4—43no—
1011C2×D4—43no—
1012C2×D4—43no—
1013C2×D4—43no—
1014C2×D4—43no—
1015C2×D4—46no—
1016C2×D4—46no—
1017C2×D4—46no—
1018C2×D4—46no—
1019C2×D4—46no—
1020C2×D4—46no—
1021C2×D4—448no—
1022C2×D4—448no—
1023C2×D4C2×#41112yes—
1024C22×C4—26no—
1025C22×C4—26no—
1026C22×C4—26no—
1027C22×C4—26no—
1028C22×C4—26no—
1029C22×C4—26no—
1030C22×C4—26no—
1031C22×C4—26no—
1032C22×C4—26no—
1033C22×C4—26no—
1034C22×C4—26no—
1035C22×C4—26no—
1036C22×C4—26no—
1037C22×C4—26no—
1038C22×C4—43no—
1039C22×C4—43no—
1040C22×C4—43no—
1041C22×C4—43no—
1042C22×C4—43no—
1043C22×C4—43no—
1044C22×C4—46no—
1045C22×C4—46no—
1046C22×C4—46no—
1047C22×C4—46no—
1048C22×C4—46no—
1049C22×C4—46no—
1050C22×C4C2×#41112yes—
1051C22×C4C2511yescharacteristic
1052C22×C4C2511yescharacteristic
1053C22×C4C2511yescharacteristic
1054C22×C4C2511yescharacteristic
1055C22×C4C2511yescharacteristic
1056C22×C4C2511yescharacteristic
1057C22×C4C2511yescharacteristic
1058C22×C4C2513yes—
1059C22×C4C2513yes—
1060C22×C4C2511yescharacteristic
1061C22×C4C2513yes—
1062C22×C4C2511yescharacteristic
1063C22×C4C2513yes—
1064C22×C4C2513yes—
1065C22×C4C2513yes—
1066C22×C4C2513yes—
1067C22×C4C2513yes—
1068C22×C4C2513yes—
1069C22×C4C2513yes—
1070C22×C4C2511yescharacteristic
1071C22×C4C2511yescharacteristic
1072C22×C4C2511yescharacteristic
1073C22×C4C2511yescharacteristic
1074C22×C4C2513yes—
1075C22×C4C2511yescharacteristic
1076C22×C4C2513yes—
1077C4⋊C4—22no—
1078C4⋊C4—26no—
1079C4⋊C4—26no—
1080C4⋊C4—26no—
1081C4⋊C4—26no—
1082C4⋊C4—26no—
1083C4⋊C4—26no—
1084C4⋊C4—26no—
1085C4⋊C4—26no—
1086C4⋊C4—26no—
1087C4⋊C4—26no—
1088C4⋊C4—26no—
1089C4⋊C4—43no—
1090C4⋊C4—43no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—43no—
1098C4⋊C4—43no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—43no—
1102C4⋊C4—43no—
1103C4⋊C4—43no—
1104C4⋊C4—43no—
1105C4⋊C4—41no—
1106C4⋊C4—43no—
1107C4⋊C4—43no—
1108C4⋊C4—46no—
1109C4⋊C4—46no—
1110C4⋊C4—43no—
1111C4⋊C4—46no—
1112C4⋊C4—43no—
1113C4⋊C4—43no—
1114C4⋊C4—46no—
1115C4⋊C4—46no—
1116C4⋊C4—43no—
1117C4⋊C4—43no—
1118C4⋊C4—43no—
1119C4⋊C4—43no—
1120C22⋊C4—26no—
1121C22⋊C4—26no—
1122C22⋊C4—212no—
1123C22⋊C4—22no—
1124C22⋊C4—26no—
1125C22⋊C4—43no—
1126C22⋊C4—43no—
1127C22⋊C4—43no—
1128C22⋊C4—43no—
1129C22⋊C4—46no—
1130C22⋊C4—46no—
1131C22⋊C4—46no—
1132C22⋊C4—46no—
1133C22⋊C4—43no—
1134C22⋊C4—41no—
1135C22⋊C4—46no—
1136C22⋊C4—43no—
1137C22⋊C4—43no—
1138C22⋊C4—43no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—43no—
1142C22⋊C4—43no—
1143C22⋊C4—43no—
1144C22⋊C4—43no—
1145C22⋊C4—43no—
1146C22⋊C4—46no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—43no—
1151C22⋊C4—43no—
1152C22⋊C4—43no—
1153C22⋊C4—43no—
1154C22⋊C4—43no—
1155C22⋊C4—43no—
1156C22⋊C4—43no—
1157C22⋊C4—43no—
1158C22⋊C4—46no—
1159C22⋊C4—43no—
1160C22⋊C4—43no—
1161C22⋊C4—43no—
1162C22⋊C4—43no—
1163C22⋊C4—43no—
1164C22⋊C4—43no—
1165C22⋊C4—46no—
1166C22⋊C4—46no—
1167C22⋊C4—46no—
1168C22⋊C4—46no—
1169C22⋊C4—46no—
1170C22⋊C4—46no—
1171C22⋊C4—46no—
1172C22⋊C4—46no—
1173C22⋊C4—43no—
1174C22⋊C4—43no—
1175C22⋊C4—46no—
1176C22⋊C4—43no—
1177C22⋊C4—43no—
1178C22⋊C4—43no—
1179C22⋊C4—43no—
1180C22⋊C4—43no—
1181C22⋊C4—43no—
1182C22⋊C4—43no—
1183C22⋊C4—43no—
1184C22⋊C4—43no—
1185C42—26no—
1186C42—26no—
1187C42—26no—
1188C42—26no—
1189C42—26no—
1190C42—26no—
1191C42—26no—
1192C42—26no—
1193C42—26no—
1194C42—26no—
1195C42—41no—
1196C42—43no—
1197C42—46no—
1198C42—46no—
1199C42—46no—
1200C23—23no—
1201C23—23no—
1202C23—23no—
1203C23—23no—
1204C23—23no—
1205C23—23no—
1206C23—21no—
1207C23—23no—
1208C23—23no—
1209C23—23no—
1210C23—21no—
1211C23—23no—
1212C23—23no—
1213C23—23no—
1214C23—23no—
1215C23—21no—
1216C23—23no—
1217C23—23no—
1218C23—23no—
1219C23—23no—
1220C23—23no—
1221C23—23no—
1222C23—23no—
1223C23—23no—
1224C23—23no—
1225C23—21no—
1226C23—21no—
1227C23—23no—
1228C23—23no—
1229C23—21no—
1230C23—21no—
1231C23—23no—
1232C23—23no—
1233C23—23no—
1234C23—424no—
1235C23—812no—
1236C23—812no—
1237C23—166no—
1238C23—166no—
1239C23—166no—
1240C23—166no—
1241C23C22×#4116yes—
1242C23C2611yescharacteristic
1243Q8—44no—
1244Q8—412no—
1245Q8—86no—
1246Q8#538116yes—
1247D4—224no—
1248D4—412no—
1249D4—412no—
1250D4—412no—
1251D4—412no—
1252D4—412no—
1253D4—412no—
1254D4—86no—
1255D4—86no—
1256D4—812no—
1257D4—86no—
1258D4—86no—
1259D4—86no—
1260D4—86no—
1261D4—86no—
1262D4—166no—
1263D4—166no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—224no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—23no—
1270C2×C4—23no—
1271C2×C4—21no—
1272C2×C4—23no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—23no—
1284C2×C4—23no—
1285C2×C4—23no—
1286C2×C4—23no—
1287C2×C4—23no—
1288C2×C4—23no—
1289C2×C4—23no—
1290C2×C4—23no—
1291C2×C4—23no—
1292C2×C4—23no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—23no—
1300C2×C4—23no—
1301C2×C4—23no—
1302C2×C4—23no—
1303C2×C4—23no—
1304C2×C4—23no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—23no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—23no—
1315C2×C4—23no—
1316C2×C4—23no—
1317C2×C4—23no—
1318C2×C4—23no—
1319C2×C4—23no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—23no—
1323C2×C4—23no—
1324C2×C4—21no—
1325C2×C4—23no—
1326C2×C4—23no—
1327C2×C4—21no—
1328C2×C4—23no—
1329C2×C4—21no—
1330C2×C4—23no—
1331C2×C4—23no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—412no—
1340C2×C4—412no—
1341C2×C4—412no—
1342C2×C4—412no—
1343C2×C4—86no—
1344C2×C4—86no—
1345C2×C4—166no—
1346C2×C4—166no—
1347C2×C4C22×#4112yes—
1348C2×C4C22×#4116yes—
1349C2×C4C2×H(5,𝔽2)16yes—
1350C2×C4C2×H(5,𝔽2)16yes—
1351C22—26no—
1352C22—26no—
1353C22—26no—
1354C22—43no—
1355C22—43no—
1356C22—43no—
1357C22—43no—
1358C22—41no—
1359C22—43no—
1360C22—43no—
1361C22—43no—
1362C22—43no—
1363C22—43no—
1364C22—41no—
1365C22—43no—
1366C22—43no—
1367C22—41no—
1368C22—41no—
1369C22—43no—
1370C22—43no—
1371C22—43no—
1372C22—43no—
1373C22—43no—
1374C22—43no—
1375C22—41no—
1376C22—43no—
1377C22—43no—
1378C22—41no—
1379C22—43no—
1380C22—43no—
1381C22—43no—
1382C22—41no—
1383C22—43no—
1384C22—43no—
1385C22—43no—
1386C22—1624no—
1387C22C23×#4111yescharacteristic
1388C22C22×H(5,𝔽2)11yescharacteristic
1389C22C22×H(5,𝔽2)11yescharacteristic
1390C22H(7,𝔽2)11yescharacteristic
1391C22H(7,𝔽2)11yescharacteristic
1392C22H(7,𝔽2)11yescharacteristic
1393C222−1+611yescharacteristic
1394C4—22no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—43no—
1399C4—41no—
1400C4—43no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—43no—
1405C4—43no—
1406C4—43no—
1407C4—43no—
1408C4—43no—
1409C4—43no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—43no—
1414C4—43no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—43no—
1419C4C2×#538112yes—
1420C2—46no—
1421C2—81no—
1422C2—83no—
1423C2—83no—
1424C2—83no—
1425C2C22×#53811yescharacteristic
1426C2#6285711yescharacteristic
1427C2#6285811yescharacteristic
1428C2#6305211yescharacteristic
1429C2#6305211yescharacteristic
1430C2#6306611yescharacteristic
1431C2#6306611yescharacteristic
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. #42976C2semidirect
2. #42974C2semidirect
3. #42923C2semidirect
4. #42919C2semidirect
5. #42616C2semidirect
6. #42606C2semidirect
7. #42586C2semidirect
8. #42581C2semidirect
9. #42575C2semidirect
10. #42563C2semidirect
11. #42544C2semidirect
12. #42535C2semidirect
13. #37512C2semidirect
14. #37493C2semidirect
15. #37492C2semidirect
16. #36670C2semidirect
17. #36091C2semidirect
18. #36082C2semidirect
19. #36049C2semidirect
20. #36018C2semidirect
21. #36005C2semidirect
22. #35898C2semidirect
23. #35898C2semidirect
24. #35854C2semidirect
25. #35831C2semidirect
26. #35831C2semidirect
27. #35816C2semidirect
28. #35801C2semidirect
29. #34295C2semidirect
30. #34293C2semidirect
31. #34258C2semidirect
33. C2×#557C22semidirect
40. C2×#548C22semidirect
42. C2×#520C22semidirect
43. C2×#519C22semidirect
45. #2833C22semidirect
46. #2832C22semidirect
47. #2831C22semidirect
48. #2831C22semidirect
49. #2830C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2829C22semidirect
53. #2828C22semidirect
54. #2827C22semidirect
55. #2827C22semidirect
56. #2826C22semidirect
57. #2826C22semidirect
58. #2825C22semidirect
59. #2825C22semidirect
60. #2824C22semidirect
61. #2824C22semidirect
62. #2781C22semidirect
63. #2778C22semidirect
64. #2778C22semidirect
65. #2753C22semidirect
66. #2741C22semidirect
67. #2735C22semidirect
68. #2714C22semidirect
69. #2697C22semidirect
70. #2697C22semidirect
71. #2696C22semidirect
72. #2685C22semidirect
73. #2685C22semidirect
74. #2685C22semidirect
75. #2684C22semidirect
76. #2678C22semidirect
77. #2676C22semidirect
78. #2662C22semidirect
79. #2661C22semidirect
80. #2651C22semidirect
81. #2648C22semidirect
82. #2648C22semidirect
83. #2648C22semidirect
84. #2644C22semidirect
85. #2644C22semidirect
86. #2641C22semidirect
87. #2640C22semidirect
88. #2636C22semidirect
89. #2630C22semidirect
90. #2629C22semidirect
91. #2626C22semidirect
92. #2624C22semidirect
93. #2624C22semidirect
94. #2622C22semidirect
95. #2622C22semidirect
96. #2620C22semidirect
97. #2620C22semidirect
98. #2619C22semidirect
99. #2617C22semidirect
102. #2592C22semidirect
103. #2574C22semidirect
104. #2566C22semidirect
105. #2563C22semidirect
106. #2562C22semidirect
107. #2554C22semidirect
108. #2548C22semidirect
109. #2548C22semidirect
110. #2544C22semidirect
111. #2544C22semidirect
112. #2538C22semidirect
113. #2537C22semidirect
114. #2537C22semidirect
115. #2536C22semidirect
116. #2513C22semidirect
117. #2513C22semidirect
118. #2512C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
122. #2501C22semidirect
123. #2500C22semidirect
124. #2497C22semidirect
125. #2497C22semidirect
126. #2496C22semidirect
127. #2496C22semidirect
128. #2494C22semidirect
129. #2494C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2490C22semidirect
133. #2490C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
138. #2487C22semidirect
139. #2485C22semidirect
140. #2480C22semidirect
141. #2472C22semidirect
142. #2454C22semidirect
143. #2452C22semidirect
144. #2448C22semidirect
145. #2448C22semidirect
146. #2445C22semidirect
147. #2445C22semidirect
148. #2442C22semidirect
149. #2440C22semidirect
156. #2428C22semidirect
157. #2428C22semidirect
158. #2427C22semidirect
159. #2427C22semidirect
160. #2426C22semidirect
161. #2426C22semidirect
162. #2424C22semidirect
163. #2423C22semidirect
164. #2422C22semidirect
165. #2422C22semidirect
166. #2421C22semidirect
167. #2418C22semidirect
168. #2417C22semidirect
169. #2417C22semidirect
170. #2416C22semidirect
171. #2416C22semidirect
172. #2414C22semidirect
173. #2414C22semidirect
180. #2401C22semidirect
181. #2401C22semidirect
182. #2398C22semidirect
183. #2398C22semidirect
184. #2396C22semidirect
185. #2395C22semidirect
186. #2395C22semidirect
187. #2392C22semidirect
188. #2392C22semidirect
189. #2392C22semidirect
192. #2367C22semidirect
193. #2366C22semidirect
194. #2363C22semidirect
195. #2363C22semidirect
196. #2362C22semidirect
197. #2361C22semidirect
198. #2354C22semidirect
199. #2352C22semidirect
200. #2351C22semidirect
201. #2351C22semidirect
202. Q8×C4⋊C4C22semidirect
203. Q8×C4⋊C4C22semidirect
204. Q8×C4⋊C4C22semidirect
205. Q8×C4⋊C4C22semidirect
216. #2341C22semidirect
217. #2341C22semidirect
218. Q8×C22⋊C4C22semidirect
219. Q8×C22⋊C4C22semidirect
224. #2328C22semidirect
225. #2326C22semidirect
226. #2324C22semidirect
227. #2324C22semidirect
230. C4×C22⋊Q8C22semidirect
231. C4×#121C22semidirect
234. #2290C22semidirect
235. #2290C22semidirect
236. #2276C22semidirect
237. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#429762
#429742
#429232
#429192
#426162
#426062
#425862
#425812
#425752
#425632
#425442
#425352
#375122
#374932
#374922
#366702
#360912
#360822
#360492
#360182
#360052
#358982
#358542
#358312
#358162
#358012
#342952
#342932
#342582