Finite Group Databasebeta

← #7699997

Subgroups — #7699997

Order 512.

5665 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60034C212yesmaximal, complemented
2#60010C214yesmaximal, complemented
3#59973C212yesmaximal, complemented
4#59970C214yesmaximal, complemented
5#59933C211yesmaximal, characteristic, complemented
6#59922C212yesmaximal, complemented
7#59780C214yesmaximal, complemented
8#59700C212yesmaximal, complemented
9#59632C211yesmaximal, characteristic, complemented
10#59184C212yesmaximal, complemented
11#59104C212yesmaximal, complemented
12#59001C211yesmaximal, characteristic, complemented
13#36426C211yesmaximal, characteristic, complemented
14#36422C211yesmaximal, characteristic, complemented
15#36410C212yesmaximal, complemented
16#36399C212yesmaximal, complemented
17#36369C212yesmaximal, complemented
18#36356C214yesmaximal, complemented
19#36332C214yesmaximal, complemented
20#36325C214yesmaximal, complemented
21#36298C212yesmaximal, complemented
22#36297C212yesmaximal, complemented
23#36144C212yesmaximal, complemented
24#36125C211yesmaximal, characteristic, complemented
25C4×#551C211yesmaximal, characteristic, complemented
26C4×#548C212yesmaximal, complemented
27#34155C212yesmaximal, complemented
28#34151C212yesmaximal, complemented
29#34136C212yesmaximal, complemented
30C2×#551C2211yescharacteristic
31C2×#550C2211yescharacteristic, complemented
32C2×#548C2212yes—
33C2×#547C2211yescharacteristic
34C2×#532C2212yes—
35C2×#529C2212yes—
36C2×#525C2212yes—
37C2×C4×#41C2212yes—
38C22×C4×Q8C2211yescharacteristic, complemented
39C22×#117C2211yescharacteristic
40#2866C2214yescomplemented
41#2865C2214yescomplemented
42#2860C2212yescomplemented
43#2858C2211yescharacteristic, complemented
44#2856C2212yes—
45#2854C2212yes—
46#2854C2211yescharacteristic, complemented
47#2854C2214yescomplemented
48#2853C2212yes—
49#2853C2212yescomplemented
50#2850C2212yescomplemented
51#2847C2211yescharacteristic
52#2800C2214yescomplemented
53#2799C2212yescomplemented
54#2768C2214yes—
55#2753C2214yes—
56#2752C2212yescomplemented
57#2748C2212yes—
58#2729C2214yes—
59#2710C2214yes—
60#2709C2212yes—
61#2703C2214yes—
62#2670C2212yes—
63#2669C2212yes—
64#2612C2212yescomplemented
65#2610C2214yes—
66#2602C2214yes—
67#2602C2214yes—
68#2597C2214yescomplemented
69#2595C2214yescomplemented
70#2593C2214yescomplemented
71#2590C2214yescomplemented
72#2589C2214yes—
73#2589C2214yes—
74#2587C2214yes—
75#2585C2214yescomplemented
76#2582C2212yescomplemented
77#2560C2214yescomplemented
78#2559C2214yes—
79#2559C2214yes—
80#2557C2214yes—
81#2554C2214yes—
82#2554C2214yes—
83#2554C2214yescomplemented
84#2548C2212yescomplemented
85#2546C2211yescharacteristic, complemented
86#2541C2211yescharacteristic
87#2539C2214yes—
88#2531C2214yescomplemented
89#2530C2214yescomplemented
90#2526C2214yescomplemented
91#2525C2214yescomplemented
92#2522C2214yescomplemented
93#2522C2214yescomplemented
94#2521C2214yescomplemented
95#2520C2214yescomplemented
96#2518C2214yescomplemented
97#2516C2214yes—
98#2516C2214yes—
99#2513C2212yescomplemented
100#2509C2212yescomplemented
101#2507C2212yescomplemented
102#2504C2211yescharacteristic
103#2497C2212yescomplemented
104#2490C2212yes—
105#2490C2212yescomplemented
106#2487C2211yescharacteristic
107#2479C2214yes—
108#2478C2214yescomplemented
109#2477C2214yes—
110#2477C2214yescomplemented
111#2476C2214yes—
112#2476C2214yescomplemented
113#2476C2214yescomplemented
114#2471C2214yes—
115#2471C2214yes—
116#2471C2214yes—
117#2471C2214yes—
118#2470C2214yes—
119#2470C2214yescomplemented
120#2468C2214yes—
121#2467C2214yes—
122#2467C2214yescomplemented
123#2465C2214yescomplemented
124#2464C2214yes—
125#2464C2214yes—
126#2464C2214yes—
127#2464C2214yes—
128#2464C2214yes—
129#2464C2214yescomplemented
130#2463C2212yes—
131#2461C2214yes—
132#2459C2214yes—
133#2458C2214yes—
134#2457C2214yes—
135#2456C2214yes—
136#2456C2214yes—
137#2455C2212yescomplemented
138#2453C2212yescomplemented
139#2451C2212yescomplemented
140#2448C2212yescomplemented
141#2445C2212yescomplemented
142#2445C2212yescomplemented
143#2441C2212yes—
144#2439C2212yes—
145#2436C2211yescharacteristic, complemented
146#2432C2212yescomplemented
147#2431C2212yes—
148#2431C2212yes—
149#2431C2212yes—
150#2428C2212yes—
151#2428C2212yescomplemented
152#2426C2212yes—
153#2426C2212yes—
154#2425C2214yes—
155#2424C2214yes—
156#2423C2212yes—
157#2414C2212yes—
158#2414C2212yes—
159#2414C2214yes—
160#2413C2212yescomplemented
161#2411C2212yes—
162#2409C2211yescharacteristic
163#2407C2214yes—
164#2406C2212yes—
165#2404C2212yes—
166#2374C2214yes—
167#2374C2211yescharacteristic
168#2374C2214yes—
169#2374C2214yescomplemented
170#2374C2214yescomplemented
171#2373C2212yes—
172#2373C2214yescomplemented
173#2373C2214yescomplemented
174#2372C2212yes—
175#2372C2211yescharacteristic
176#2372C2214yescomplemented
177#2370C2212yescomplemented
178#2370C2212yescomplemented
179#2369C2214yescomplemented
180#2368C2212yes—
181#2367C2214yes—
182#2367C2212yescomplemented
183#2367C2212yescomplemented
184#2367C2212yescomplemented
185#2366C2212yes—
186#2366C2212yes—
187#2364C2214yes—
188#2363C2212yes—
189#2363C2212yes—
190#2363C2214yes—
191#2363C2214yes—
192#2363C2212yes—
193#2363C2212yes—
194#2363C2214yescomplemented
195#2363C2214yescomplemented
196#2362C2212yes—
197#2362C2212yes—
198#2362C2212yes—
199#2362C2214yescomplemented
200#2361C2212yes—
201#2361C2214yes—
202#2361C2212yes—
203#2361C2212yescomplemented
204#2360C2212yes—
205#2360C2212yes—
206#2359C2214yes—
207#2359C2214yes—
208#2359C2212yes—
209#2358C2214yes—
210#2358C2214yes—
211#2358C2211yescharacteristic
212#2354C2212yescomplemented
213#2353C2212yes—
214#2352C2212yes—
215#2352C2214yescomplemented
216#2351C2212yescomplemented
217#2344C2211yescharacteristic
218#2344C2211yescharacteristic, complemented
219#2343C2212yes—
220#2342C2212yes—
221#2341C2212yes—
222Q8×C22⋊C4C2212yescomplemented
223C4×#126C2212yes—
224C4×#124C2214yes—
225C4×#124C2211yescharacteristic
226C4×#124C2212yescomplemented
227C4×C22⋊Q8C2212yes—
228C4×C22⋊Q8C2212yes—
229C4×C22⋊Q8C2214yescomplemented
230C4×#123C2211yescharacteristic
231C4×#123C2212yes—
232C4×#121C2214yes—
233C4×#121C2212yescomplemented
234C4×#120C2211yescharacteristic
235#2298C2214yescomplemented
236#2297C2212yes—
237#2297C2212yes—
238#2297C2212yes—
239#2297C2214yescomplemented
240#2296C2212yes—
241#2295C2212yescomplemented
242#2293C2214yes—
243#2293C2214yes—
244#2293C2214yes—
245#2293C2212yescomplemented
246#2293C2214yescomplemented
247#2290C2214yes—
248#2290C2214yes—
249#2290C2214yes—
250C42×Q8C2212yescomplemented
251C42×D4C2212yes—
252C42×D4C2214yes—
253C42×D4C2211yescharacteristic, complemented
254C42×D4C2214yescomplemented
255C4×#117C2212yes—
256C4×#117C2212yes—
257C4×#117C2214yescomplemented
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×Q8C2311yescharacteristic
263C24×C4C2311yescharacteristic
264#551—28no—
265#550—44no—
266#548—216no—
267#547—44no—
268#532—216no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×#127C2312yes—
272C2×#127C2312yes—
273C2×#127C2311yescharacteristic
274#529—216no—
275C2×#126C2312yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125C2312yes—
279C2×#124C2312yes—
280C2×#124C2314yes—
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2311yescharacteristic
285#525—216no—
286C2×#123C2314yes—
287C2×#123C2312yes—
288C2×#123C2314yes—
289C2×#123C2311yescharacteristic
290C2×#123C2312yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2314yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#120C2314yes—
315C2×#120C2311yescharacteristic
316C2×#120C2312yes—
317C4×#41—48no—
318C2×C4×Q8—44no—
319C2×C4×Q8C2312yes—
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2314yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2311yescharacteristic
344C2×#117—44no—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2314yes—
349C2×#117C2312yes—
350C2×#117C2314yes—
351C2×#117C2314yes—
352C2×#117C2312yes—
353C2×#117C2314yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2314yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C42C2312yes—
365C22×C42C2312yes—
366C22×C42C2312yes—
367C22×C42C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2314yes—
370C22×C42C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#395C2314yes—
400#395C2312yes—
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#393C2314yes—
416#393C2312yes—
417#393C2314yes—
418#392C2312yes—
419#392C2314yes—
420#392C2314yes—
421#392C2314yes—
422#392C2314yes—
423#392C2314yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2312yes—
428#391C2314yes—
429#391C2312yes—
430#391C2312yes—
431#391C2314yes—
432#391C2312yes—
433#391C2314yes—
434#391C2314yes—
435#391C2312yes—
436#391C2312yes—
437#391C2311yescharacteristic
438#391C2312yes—
439#391C2314yes—
440#390C2314yes—
441#390C2314yes—
442#390C2312yes—
443#390C2312yes—
444#390C2312yes—
445#390C2314yes—
446#390C2314yes—
447#390C2312yes—
448#390C2312yes—
449#390C2314yes—
450#390C2314yes—
451#390C2314yes—
452#390C2312yes—
453#390C2314yes—
454#390C2312yes—
455#390C2314yes—
456#390C2314yes—
457#390C2311yescharacteristic
458#390C2312yes—
459#390C2314yes—
460#390C2314yes—
461#390C2312yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#389C2314yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2314yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#388C2312yes—
490#388C2312yes—
491#388C2312yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2312yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2312yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#387C2312yes—
543#387C2312yes—
544#387C2312yes—
545#387C2312yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2312yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2312yes—
565#387C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#386C2314yes—
574#386C2312yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2312yes—
581#386C2312yes—
582#386C2312yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2312yes—
591#386C2312yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2311yescharacteristic
598#386C2312yes—
599#386C2314yes—
600#386C2314yes—
601#386C2312yes—
602#386C2311yescharacteristic
603#386C2312yes—
604#386C2312yes—
605#386C2314yes—
606#385C2312yes—
607#385C2314yes—
608#385C2312yes—
609#385C2312yes—
610#385C2314yes—
611#385C2314yes—
612#385C2311yescharacteristic
613#385C2311yescharacteristic
614#385C2312yes—
615#385C2312yes—
616#385C2312yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#384C2312yes—
626#383C2312yes—
627#382C2311yescharacteristic
628#382C2312yes—
629#382C2314yes—
630#381C2312yes—
631#381C2312yes—
632#381C2312yes—
633#381C2311yescharacteristic
634#380C2312yes—
635#380C2311yescharacteristic
636#380C2312yes—
637#380C2314yes—
638#380C2314yes—
639#380C2312yes—
640#380C2311yescharacteristic
641#380C2314yes—
642#379C2311yescharacteristic
643C4×C4⋊C4C2312yes—
644C4×C4⋊C4C2312yes—
645C4×C4⋊C4C2312yes—
646C4×C4⋊C4C2314yes—
647C4×C4⋊C4C2314yes—
648C4×C4⋊C4C2314yes—
649C4×C4⋊C4C2314yes—
650C4×C4⋊C4C2314yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2314yes—
653C4×C4⋊C4C2312yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2314yes—
664C4×C4⋊C4C2311yescharacteristic
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2314yes—
671C4×C22⋊C4C2311yescharacteristic
672C4×C22⋊C4C2312yes—
673C4×C22⋊C4C2312yes—
674C4×C22⋊C4C2314yes—
675C4×C22⋊C4C2314yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2312yes—
680C4×C22⋊C4C2312yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2312yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2311yescharacteristic
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712#376C2312yes—
713#376C2312yes—
714#376C2314yes—
715#376C2314yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C43C2312yes—
719C43C2311yescharacteristic
720C43C2314yes—
721C43C2314yes—
722C25C2411yescharacteristic
723C2×#41—28no—
724C2×#41—28no—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—82no—
731C2×#41—82no—
732C22×Q8—28no—
733C22×Q8—42no—
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2411yescharacteristic
738C22×D4C2411yescharacteristic
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2411yescharacteristic
753C23×C4—28no—
754C23×C4—42no—
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2414yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2414yes—
774C23×C4C2412yes—
775C4⋊Q8—28no—
776C4⋊Q8—42no—
777#127—28no—
778#127—44no—
779#127—42no—
780#126—216no—
781#126—28no—
782#126—84no—
783#125—28no—
784#124—28no—
785#124—28no—
786#124—216no—
787#124—28no—
788#124—82no—
789#124#4118yescomplemented
790#123—24no—
791#123—216no—
792#123—216no—
793#123—28no—
794#123—48no—
795#123—48no—
796#123—44no—
797#123—44no—
798#123—84no—
799#123—82no—
800C22⋊Q8—28no—
801C22⋊Q8—28no—
802C22⋊Q8—216no—
803C22⋊Q8—44no—
804C22⋊Q8#41116yescomplemented
805#121—28no—
806#121—28no—
807#121—28no—
808#121—28no—
809#121—216no—
810#121—216no—
811#121—216no—
812#121—48no—
813#121—44no—
814#121—48no—
815#121—42no—
816#121—42no—
817#121—84no—
818#120—24no—
819#120—216no—
820#120—82no—
821C4×Q8—28no—
822C4×Q8—28no—
823C4×Q8—28no—
824C4×Q8—42no—
825C4×Q8—48no—
826C4×Q8—44no—
827C4×Q8—44no—
828C4×D4—28no—
829C4×D4—216no—
830C4×D4—28no—
831C4×D4—216no—
832C4×D4—28no—
833C4×D4—24no—
834C4×D4—216no—
835C4×D4—216no—
836C4×D4—216no—
837C4×D4—216no—
838C4×D4—28no—
839C4×D4—48no—
840C4×D4—44no—
841C4×D4—42no—
842C4×D4—44no—
843C4×D4—48no—
844C4×D4—48no—
845C4×D4—48no—
846#117—28no—
847#117—216no—
848#117—28no—
849#117—28no—
850#117—48no—
851#117—44no—
852#117—48no—
853#117—48no—
854#117—44no—
855#117—82no—
856#117—82no—
857#117—84no—
858C2×C4⋊C4—24no—
859C2×C4⋊C4—24no—
860C2×C4⋊C4—42no—
861C2×C4⋊C4—44no—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C22⋊C4—28no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4—44no—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2411yescharacteristic
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C42—28no—
969C2×C42—28no—
970C2×C42—44no—
971C2×C42—44no—
972C2×C42—42no—
973C2×C42—48no—
974C2×C42—44no—
975C2×C42C2412yes—
976C2×C42C2414yes—
977C2×C42C2412yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2412yes—
981C2×C42C2411yescharacteristic
982C2×C42C2414yes—
983C2×C42C2412yes—
984C2×C42C2414yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2414yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061C24—22no—
1062C24—24no—
1063C24—41no—
1064C24—42no—
1065C24—41no—
1066C24C2512yes—
1067C24C2514yes—
1068C24C2512yes—
1069C24C2511yescharacteristic
1070C24C2511yescharacteristic
1071#41—432no—
1072#41—816no—
1073#41—816no—
1074C2×Q8—24no—
1075C2×Q8—28no—
1076C2×Q8—24no—
1077C2×Q8—24no—
1078C2×Q8—42no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—42no—
1082C2×Q8—42no—
1083C2×Q8—416no—
1084C2×Q8C2×#4118yes—
1085C2×Q8C2×#4114yes—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—24no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—28no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—44no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4C2×#4114yes—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—22no—
1137C22×C4—28no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—28no—
1141C22×C4—24no—
1142C22×C4—28no—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—24no—
1146C22×C4—28no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—28no—
1153C22×C4—22no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—28no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—44no—
1163C22×C4—42no—
1164C22×C4—44no—
1165C22×C4—42no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—416no—
1171C22×C4—42no—
1172C22×C4—41no—
1173C22×C4—44no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4C2×#4118yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—28no—
1211C4⋊C4—24no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—24no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—24no—
1220C4⋊C4—28no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—41no—
1241C4⋊C4—42no—
1242C4⋊C4—41no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4C2×#41116yes—
1250C4⋊C4C2×#4118yes—
1251C4⋊C4H(5,𝔽2)14yes—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—24no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4C2×#4118yes—
1309C22⋊C4C2×#4118yes—
1310C22⋊C4C2×#41116yes—
1311C42—24no—
1312C42—28no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—28no—
1318C42—28no—
1319C42—24no—
1320C42—28no—
1321C42—24no—
1322C42—28no—
1323C42—28no—
1324C42—24no—
1325C42—24no—
1326C42—22no—
1327C42—24no—
1328C42—42no—
1329C42—44no—
1330C42—42no—
1331C42—44no—
1332C42—44no—
1333C42—42no—
1334C42—42no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C42—44no—
1339C42—42no—
1340C42—44no—
1341C42—41no—
1342C42—42no—
1343C42C2×#4114yes—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—21no—
1350C23—21no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—21no—
1356C23—21no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—24no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—24no—
1365C23—24no—
1366C23—24no—
1367C23—24no—
1368C23—24no—
1369C23—22no—
1370C23—44no—
1371C23—48no—
1372C23—82no—
1373C23—84no—
1374C23—82no—
1375C23C22×#4112yes—
1376C23C22×#4114yes—
1377C23C22×#4112yes—
1378C23C2611yescharacteristic
1379Q8—216no—
1380Q8—44no—
1381Q8—48no—
1382Q8—84no—
1383D4—44no—
1384D4—416no—
1385D4—416no—
1386D4—416no—
1387D4—48no—
1388D4—44no—
1389D4—48no—
1390D4—88no—
1391D4—84no—
1392D4—88no—
1393D4—88no—
1394D4—84no—
1395D4—84no—
1396D4—164no—
1397D4—162no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—216no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—44no—
1458C2×C4—416no—
1459C2×C4—44no—
1460C2×C4—48no—
1461C2×C4—416no—
1462C2×C4—416no—
1463C2×C4—48no—
1464C2×C4—48no—
1465C2×C4—48no—
1466C2×C4—48no—
1467C2×C4—48no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—84no—
1471C2×C4—88no—
1472C2×C4—84no—
1473C2×C4—82no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4C22×#4114yes—
1477C2×C4C22×#4112yes—
1478C2×C4C22×#4114yes—
1479C2×C4C22×#4118yes—
1480C2×C4C22×#4118yes—
1481C2×C4C22×#4114yes—
1482C2×C4C22×#4114yes—
1483C2×C4C2×H(5,𝔽2)14yes—
1484C2×C4C2×H(5,𝔽2)12yes—
1485C2×C4#58514yes—
1486C22—22no—
1487C22—22no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—24no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—41no—
1498C22—41no—
1499C22—42no—
1500C22—41no—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—44no—
1505C22—44no—
1506C22—44no—
1507C22—44no—
1508C22—44no—
1509C22—42no—
1510C22—44no—
1511C22—42no—
1512C22—44no—
1513C22—44no—
1514C22—44no—
1515C22—88no—
1516C22C23×#4111yescharacteristic
1517C22C23×#4112yes—
1518C22C22×H(5,𝔽2)11yescharacteristic
1519C22C2×#58512yes—
1520C22H(7,𝔽2)11yescharacteristic
1521C4—24no—
1522C4—24no—
1523C4—22no—
1524C4—24no—
1525C4—24no—
1526C4—28no—
1527C4—24no—
1528C4—28no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—44no—
1536C4—44no—
1537C4—44no—
1538C4—42no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4#348114yes—
1545C2—42no—
1546C2—42no—
1547C2—44no—
1548C2—82no—
1549C2—84no—
1550C2C2×#348111yescharacteristic
1551C2#41212yes—
1552C2#6298311yescharacteristic
1553C2#6300612yes—
1554C2#6302011yescharacteristic
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. #60034C2semidirect
2. #60010C2semidirect
3. #59973C2semidirect
4. #59970C2semidirect
5. #59933C2semidirect
6. #59922C2semidirect
7. #59780C2semidirect
8. #59700C2semidirect
9. #59632C2semidirect
10. #59184C2semidirect
11. #59104C2semidirect
12. #59001C2semidirect
13. #36426C2semidirect
14. #36422C2semidirect
15. #36410C2semidirect
16. #36399C2semidirect
17. #36369C2semidirect
18. #36356C2semidirect
19. #36332C2semidirect
20. #36325C2semidirect
21. #36298C2semidirect
22. #36297C2semidirect
23. #36144C2semidirect
24. #36125C2semidirect
25. C4×#551C2semidirect
26. C4×#548C2semidirect
27. #34155C2semidirect
28. #34151C2semidirect
29. #34136C2semidirect
31. C2×#550C22semidirect
38. C22×C4×Q8C22semidirect
40. #2866C22semidirect
41. #2865C22semidirect
42. #2860C22semidirect
43. #2858C22semidirect
46. #2854C22semidirect
47. #2854C22semidirect
49. #2853C22semidirect
50. #2850C22semidirect
52. #2800C22semidirect
53. #2799C22semidirect
56. #2752C22semidirect
64. #2612C22semidirect
68. #2597C22semidirect
69. #2595C22semidirect
70. #2593C22semidirect
71. #2590C22semidirect
75. #2585C22semidirect
76. #2582C22semidirect
77. #2560C22semidirect
83. #2554C22semidirect
84. #2548C22semidirect
85. #2546C22semidirect
88. #2531C22semidirect
89. #2530C22semidirect
90. #2526C22semidirect
91. #2525C22semidirect
92. #2522C22semidirect
93. #2522C22semidirect
94. #2521C22semidirect
95. #2520C22semidirect
96. #2518C22semidirect
99. #2513C22semidirect
100. #2509C22semidirect
101. #2507C22semidirect
103. #2497C22semidirect
105. #2490C22semidirect
108. #2478C22semidirect
110. #2477C22semidirect
112. #2476C22semidirect
113. #2476C22semidirect
119. #2470C22semidirect
122. #2467C22semidirect
123. #2465C22semidirect
129. #2464C22semidirect
137. #2455C22semidirect
138. #2453C22semidirect
139. #2451C22semidirect
140. #2448C22semidirect
141. #2445C22semidirect
142. #2445C22semidirect
145. #2436C22semidirect
146. #2432C22semidirect
151. #2428C22semidirect
160. #2413C22semidirect
169. #2374C22semidirect
170. #2374C22semidirect
172. #2373C22semidirect
173. #2373C22semidirect
176. #2372C22semidirect
177. #2370C22semidirect
178. #2370C22semidirect
179. #2369C22semidirect
182. #2367C22semidirect
183. #2367C22semidirect
184. #2367C22semidirect
194. #2363C22semidirect
195. #2363C22semidirect
199. #2362C22semidirect
203. #2361C22semidirect
212. #2354C22semidirect
215. #2352C22semidirect
216. #2351C22semidirect
218. #2344C22semidirect
222. Q8×C22⋊C4C22semidirect
226. C4×#124C22semidirect
229. C4×C22⋊Q8C22semidirect
233. C4×#121C22semidirect
235. #2298C22semidirect
239. #2297C22semidirect
241. #2295C22semidirect
245. #2293C22semidirect
246. #2293C22semidirect
250. C42×Q8C22semidirect
253. C42×D4C22semidirect
254. C42×D4C22semidirect
257. C4×#117C22semidirect
789. #124#41semidirect
804. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600342
#600102
#599732
#599702
#599332
#599222
#597802
#597002
#596322
#591842
#591042
#590012
#364262
#364222
#364102
#363992
#363692
#363562
#363322
#363252
#362982
#362972
#361442
#361252
C4×#5512
C4×#5482
#341552
#341512
#341362