Finite Group Databasebeta

← #8077082

Subgroups — #8077082

Order 512.

7029 conjugacy classes of subgroups.

The subgroup lattice has 1427 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3545C212yesmaximal, complemented
2#59836C212yesmaximal, complemented
3#59834C211yesmaximal, characteristic, complemented
4#59160C212yesmaximal, complemented
5#59158C214yesmaximal, complemented
6#51586C212yesmaximal, complemented
7#51585C214yesmaximal, complemented
8#51546C214yesmaximal, complemented
9#51542C212yesmaximal, complemented
10#51534C214yesmaximal, complemented
11#51531C212yesmaximal, complemented
12#46812C212yesmaximal, complemented
13#46413C214yesmaximal, complemented
14#43492C212yesmaximal, complemented
15#43490C214yesmaximal, complemented
16#43053C214yesmaximal, complemented
17#43020C214yesmaximal, complemented
18#43017C214yesmaximal, complemented
19#39377C212yesmaximal, complemented
20#39360C211yesmaximal, characteristic, complemented
21#37766C214yesmaximal, complemented
22#37676C212yesmaximal, complemented
23#34524C211yesmaximal, characteristic, complemented
24#3545—232no—
25C2×#563C2212yescomplemented
26C2×#562C2214yescomplemented
27C2×H(3,𝔽4)C2211yescharacteristic
28C2×#555C2212yes—
29C2×#555C2212yescomplemented
30C2×#551C2214yescomplemented
31C2×#551C2214yescomplemented
32C2×#551C2214yescomplemented
33C2×D4×Q8C2211yescharacteristic, complemented
34C2×#547C2211yescharacteristic
35C2×#546C2214yes—
36C2×#546C2212yes—
37C2×#546C2214yescomplemented
38C2×#542C2214yescomplemented
39C2×#542C2214yescomplemented
40C2×#538C2214yes—
41C2×#538C2214yescomplemented
42C2×#536C2212yes—
43C2×#536C2212yescomplemented
44C2×#534C2214yescomplemented
45C2×#534C2212yescomplemented
46C2×#529C2214yescomplemented
47C22×#124C2212yescomplemented
48#2868C2211yescharacteristic, complemented
49#2857C2212yescomplemented
50#2812C2212yescomplemented
51#2734C2212yescomplemented
52#2734C2211yescharacteristic, complemented
53#2733C2211yescharacteristic, complemented
54#2732C2212yescomplemented
55#2732C2214yescomplemented
56#2732C2212yescomplemented
57#2731C2212yescomplemented
58#2728C2214yescomplemented
59#2724C2212yescomplemented
60#2722C2214yescomplemented
61#2722C2212yescomplemented
62#2718C2214yescomplemented
63#2718C2214yescomplemented
64#2718C2214yescomplemented
65#2718C2214yescomplemented
66#2717C2214yescomplemented
67#2715C2214yescomplemented
68#2708C2214yescomplemented
69#2708C2214yescomplemented
70#2706C2214yescomplemented
71#2706C2214yescomplemented
72#2701C2214yescomplemented
73#2701C2214yescomplemented
74#2698C2214yescomplemented
75#2698C2214yescomplemented
76#2695C2214yescomplemented
77#2693C2212yescomplemented
78#2691C2214yescomplemented
79#2686C2214yescomplemented
80#2686C2214yescomplemented
81#2682C2212yescomplemented
82#2680C2214yescomplemented
83#2680C2214yescomplemented
84#2680C2214yescomplemented
85#2680C2214yescomplemented
86#2679C2212yes—
87#2678C2214yescomplemented
88#2674C2214yescomplemented
89#2674C2214yescomplemented
90#2674C2214yescomplemented
91#2674C2214yescomplemented
92#2672C2214yescomplemented
93#2672C2214yescomplemented
94#2672C2214yescomplemented
95#2672C2214yescomplemented
96#2672C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2668C2214yes—
101#2668C2214yes—
102#2660C2214yescomplemented
103#2658C2212yescomplemented
104#2629C2214yescomplemented
105#2628C2214yescomplemented
106#2621C2212yescomplemented
107#2620C2212yescomplemented
108#2611C2214yescomplemented
109#2611C2214yescomplemented
110#2610C2214yescomplemented
111#2609C2214yescomplemented
112#2609C2212yescomplemented
113#2555C2214yescomplemented
114#2555C2214yescomplemented
115#2553C2214yescomplemented
116#2553C2214yescomplemented
117#2553C2214yescomplemented
118#2553C2214yescomplemented
119#2547C2212yescomplemented
120#2547C2211yescharacteristic, complemented
121#2546C2211yescharacteristic, complemented
122#2545C2212yescomplemented
123#2543C2212yescomplemented
124#2538C2212yescomplemented
125#2537C2214yes—
126#2537C2212yes—
127#2536C2214yescomplemented
128#2534C2214yescomplemented
129#2501C2214yescomplemented
130#2501C2212yescomplemented
131#2496C2214yescomplemented
132#2491C2214yescomplemented
133#2483C2212yescomplemented
134#2480C2214yescomplemented
135#2478C2214yescomplemented
136#2474C2214yescomplemented
137#2474C2214yescomplemented
138#2472C2214yescomplemented
139#2470C2214yescomplemented
140#2468C2214yescomplemented
141#2468C2214yescomplemented
142#2468C2214yescomplemented
143#2466C2214yescomplemented
144#2459C2214yescomplemented
145#2457C2214yescomplemented
146#2456C2214yescomplemented
147#2455C2214yescomplemented
148#2450C2214yescomplemented
149#2450C2214yescomplemented
150#2443C2214yescomplemented
151#2443C2214yescomplemented
152#2440C2214yescomplemented
153#2440C2214yescomplemented
154#2440C2214yescomplemented
155#2438C2214yescomplemented
156#2438C2214yescomplemented
157#2437C2214yescomplemented
158#2437C2214yescomplemented
159#2436C2212yescomplemented
160#2435C2212yescomplemented
161#2434C2212yescomplemented
162#2434C2212yescomplemented
163#2432C2212yes—
164#2432C2212yescomplemented
165#2430C2214yescomplemented
166#2425C2214yescomplemented
167#2425C2214yescomplemented
168#2425C2214yescomplemented
169#2425C2214yescomplemented
170#2424C2214yescomplemented
171#2424C2214yescomplemented
172#2423C2214yescomplemented
173#2423C2214yescomplemented
174#2422C2214yescomplemented
175#2422C2214yescomplemented
176#2422C2214yescomplemented
177#2421C2214yescomplemented
178#2420C2214yescomplemented
179#2419C2214yescomplemented
180#2419C2214yescomplemented
181#2418C2214yescomplemented
182#2418C2214yescomplemented
183#2418C2214yescomplemented
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2412C2214yescomplemented
187#2412C2214yescomplemented
188#2412C2214yescomplemented
189#2410C2214yescomplemented
190#2410C2214yescomplemented
191#2406C2214yes—
192#2405C2214yescomplemented
193C2×#397C2212yescomplemented
194C2×#394C2214yescomplemented
195#2379C2211yescharacteristic, complemented
196#2379C2212yescomplemented
197#2372C2214yescomplemented
198#2372C2212yescomplemented
199#2364C2212yescomplemented
200#2359C2214yescomplemented
201#2358C2214yescomplemented
202#2358C2214yescomplemented
203#2358C2212yescomplemented
204#2358C2214yescomplemented
205Q8×C4⋊C4C2212yescomplemented
206#2349C2214yescomplemented
207D4×C4⋊C4C2212yescomplemented
208#2342C2214yescomplemented
209#2326C2212yescomplemented
210#2326C2214yescomplemented
211#2321C2214yescomplemented
212#2321C2212yescomplemented
213#2315C2214yescomplemented
214C4×#124C2211yescharacteristic, complemented
215C4×#124C2212yescomplemented
216#2293C2212yescomplemented
217#2293C2211yescharacteristic, complemented
218#2290C2212yescomplemented
219#2290C2214yescomplemented
220C22×#41C2312yes—
221C22×#41C2312yes—
222C23×Q8C2312yes—
223C23×D4C2314yes—
224C23×D4C2312yes—
225#563—216no—
226#562—232no—
227H(3,𝔽4)D4116yescomplemented
228#555—216no—
229#555—216no—
230#551—232no—
231#551—232no—
232#551—232no—
233D4×Q8—44no—
234#547—44no—
235#546—232no—
236#546—232no—
237#546—48no—
238#542—232no—
239#542—232no—
240#538—232no—
241#538—232no—
242#536—216no—
243#536—216no—
244#534—232no—
245#534—48no—
246C2×C4⋊Q8C2312yes—
247C2×C4⋊Q8C2312yes—
248C2×C4⋊Q8C2312yes—
249C2×C4⋊Q8C2312yes—
250C2×C4⋊Q8C2311yescharacteristic
251C2×C4⋊Q8C2311yescharacteristic
252C2×C4⋊Q8C2312yes—
253C2×C4⋊Q8C2312yes—
254C2×C4⋊Q8C2312yes—
255#529—232no—
256C2×#126C2314yes—
257C2×#126C2314yes—
258C2×#126C2314yes—
259C2×#126C2314yes—
260C2×#126C2314yes—
261C2×#126C2314yes—
262C2×#125C2314yes—
263C2×#124—216no—
264C2×#124C2312yes—
265C2×#124C2314yes—
266C2×#124C2314yes—
267C2×#124C2312yes—
268C2×#124C2312yes—
269C2×#124C2314yes—
270C2×#124C2314yes—
271C2×#124C2312yes—
272C2×#124C2312yes—
273C2×#124C2312yes—
274C2×#124C2312yes—
275C2×#124C2312yes—
276C2×#124C2314yes—
277C2×#124C2311yescharacteristic
278C2×#124C2312yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2312yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×#117C2314yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C2×#117C2314yes—
356C2×#117C2312yes—
357C2×#117C2314yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2314yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C42C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#398C2312yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#390C2314yes—
473#390C2312yes—
474#390C2314yes—
475#390C2314yes—
476#390C2312yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#389C2314yes—
483#389C2314yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
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#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2312yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2312yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#384C2312yes—
586#384C2312yes—
587#384C2312yes—
588#384C2314yes—
589#384C2314yes—
590#384C2314yes—
591#382C2314yes—
592#382C2311yescharacteristic
593#382C2312yes—
594#382C2314yes—
595#381C2314yes—
596#381C2314yes—
597#381C2314yes—
598#381C2314yes—
599#380C2314yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#380C2314yes—
604#380C2314yes—
605#380C2314yes—
606#380C2314yes—
607#380C2314yes—
608#380C2314yes—
609#380C2314yes—
610#380C2314yes—
611#380C2314yes—
612#380C2314yes—
613#379C2312yes—
614#379C2314yes—
615#379C2314yes—
616#379C2314yes—
617C4×C4⋊C4C2312yes—
618C4×C4⋊C4C2314yes—
619C4×C4⋊C4C2312yes—
620C4×C4⋊C4C2311yescharacteristic
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2312yes—
624C4×C22⋊C4C2314yes—
625C4×C22⋊C4C2314yes—
626C4×C22⋊C4C2314yes—
627C4×C22⋊C4C2312yes—
628C4×C22⋊C4C2314yes—
629C4×C22⋊C4C2314yes—
630C4×C22⋊C4C2314yes—
631C4×C22⋊C4C2312yes—
632#376C2314yes—
633#376C2312yes—
634C2×#95C2314yes—
635C2×#95C2314yes—
636C2×#95C2312yes—
637C43C2311yescharacteristic
638C25C2414yes—
639C25C2412yes—
640C2×#41—28no—
641C2×#41—28no—
642C2×#41—44no—
643C2×#41—44no—
644C2×#41—82no—
645C2×#41—82no—
646C22×Q8—28no—
647C22×Q8—44no—
648C22×Q8—82no—
649C22×Q8C2412yes—
650C22×Q8C2412yes—
651C22×Q8C2412yes—
652C22×Q8C2412yes—
653C22×Q8C2412yes—
654C22×Q8C2412yes—
655C22×Q8C2411yescharacteristic
656C22×D4—216no—
657C22×D4—28no—
658C22×D4—44no—
659C22×D4—48no—
660C22×D4—82no—
661C22×D4—84no—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2412yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2412yes—
672C22×D4C2412yes—
673C22×D4C2412yes—
674C22×D4C2414yes—
675C22×D4C2411yescharacteristic
676C22×D4C2412yes—
677C22×D4C2411yescharacteristic
678C23×C4C2412yes—
679C23×C4C2412yes—
680C23×C4C2412yes—
681C23×C4C2414yes—
682C23×C4C2414yes—
683C23×C4C2414yes—
684C23×C4C2414yes—
685C23×C4C2412yes—
686C23×C4C2414yes—
687C23×C4C2414yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2412yes—
693C4⋊Q8—28no—
694C4⋊Q8—28no—
695C4⋊Q8—28no—
696C4⋊Q8—28no—
697C4⋊Q8—42no—
698C4⋊Q8—44no—
699C4⋊Q8—42no—
700C4⋊Q8—82no—
701C4⋊Q8—82no—
702#126—216no—
703#126—216no—
704#126—216no—
705#126—216no—
706#126—216no—
707#126—216no—
708#125—216no—
709#124—28no—
710#124—28no—
711#124—28no—
712#124—28no—
713#124—216no—
714#124—216no—
715#124—216no—
716#124—216no—
717#124—28no—
718#124—44no—
719#124—82no—
720#124C2×D4116yes—
721#124C2×D4132yes—
722#124C2×D418yes—
723#124C2×D4116yes—
724#123—216no—
725#123—216no—
726#123—216no—
727#123—216no—
728#123—216no—
729#123—216no—
730#123—216no—
731#123—216no—
732#123—216no—
733#123—216no—
734#123—216no—
735#123—216no—
736#123—48no—
737#123—48no—
738#123—48no—
739#123—48no—
740#123—48no—
741#123—84no—
742C22⋊Q8—216no—
743C22⋊Q8—216no—
744C22⋊Q8—216no—
745C22⋊Q8—216no—
746C22⋊Q8—216no—
747C22⋊Q8—216no—
748C22⋊Q8—216no—
749C22⋊Q8—216no—
750C22⋊Q8—216no—
751C22⋊Q8—44no—
752C22⋊Q8—44no—
753C22⋊Q8—44no—
754C22⋊Q8—44no—
755C22⋊Q8—44no—
756#121—216no—
757#121—216no—
758#121—216no—
759#121—216no—
760#121—216no—
761#121—216no—
762#121—216no—
763#121—28no—
764#121—216no—
765#121—216no—
766#121—44no—
767#121—48no—
768#121—48no—
769#121—44no—
770#121—84no—
771#120—216no—
772#120—216no—
773#120—216no—
774#120—216no—
775#120—48no—
776#120—48no—
777#120C2×D4132yes—
778#120C2×D4116yes—
779C4×Q8—216no—
780C4×Q8—44no—
781C4×Q8—42no—
782C4×D4—216no—
783C4×D4—216no—
784C4×D4—216no—
785C4×D4—28no—
786C4×D4—24no—
787C4×D4—216no—
788C4×D4—216no—
789C4×D4—216no—
790C4×D4—216no—
791C4×D4—48no—
792C4×D4—48no—
793C4×D4—44no—
794C4×D4—44no—
795C4×D4—44no—
796C4×D4—42no—
797#117—216no—
798#117—216no—
799#117—28no—
800#117—28no—
801#117—216no—
802#117—216no—
803C2×C4⋊C4—44no—
804C2×C4⋊C4—84no—
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C22⋊C4—216no—
854C2×C22⋊C4—216no—
855C2×C22⋊C4—216no—
856C2×C22⋊C4—216no—
857C2×C22⋊C4—216no—
858C2×C22⋊C4—48no—
859C2×C22⋊C4—48no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—48no—
862C2×C22⋊C4C2412yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C42—28no—
918C2×C42C2412yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2412yes—
922C2×C42C2412yes—
923C2×C42C2412yes—
924C2×C42C2411yescharacteristic
925C2×C42C2412yes—
926C2×C42C2414yes—
927C2×C42C2414yes—
928C2×C42C2412yes—
929C2×C42C2411yescharacteristic
930C2×C42C2412yes—
931C2×C42C2414yes—
932C2×C42C2411yescharacteristic
933C2×C42C2412yes—
934#95C2414yes—
935#95C2412yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2412yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2412yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970C24—28no—
971C24—28no—
972C24—42no—
973C24—44no—
974C24—42no—
975C24—44no—
976C24—44no—
977C24—44no—
978C24—44no—
979C24—44no—
980C24—44no—
981C24C22×D418yes—
982C24C2514yes—
983C24C2514yes—
984C24C2512yes—
985C24C2512yes—
986#41—816no—
987#41—816no—
988C2×Q8—24no—
989C2×Q8—24no—
990C2×Q8—24no—
991C2×Q8—24no—
992C2×Q8—24no—
993C2×Q8—41no—
994C2×Q8—42no—
995C2×Q8—41no—
996C2×Q8—42no—
997C2×Q8—42no—
998C2×Q8—42no—
999C2×Q8—42no—
1000C2×Q8—42no—
1001C2×Q8—42no—
1002C2×Q8—42no—
1003C2×Q8—42no—
1004C2×Q8—42no—
1005C2×Q8—42no—
1006C2×Q8—42no—
1007C2×Q8—816no—
1008C2×Q8C22×D418yes—
1009C2×Q8C22×D414yes—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—24no—
1021C2×D4—24no—
1022C2×D4—42no—
1023C2×D4—44no—
1024C2×D4—42no—
1025C2×D4—41no—
1026C2×D4—42no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—44no—
1032C2×D4—41no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—816no—
1052C2×D4—832no—
1053C2×D4C22×D418yes—
1054C2×D4C22×D4116yes—
1055C2×D4C22×D414yes—
1056C2×D4C22×D418yes—
1057C2×D4H(5,𝔽2)14yes—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—24no—
1061C22×C4—28no—
1062C22×C4—28no—
1063C22×C4—28no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—24no—
1067C22×C4—24no—
1068C22×C4—24no—
1069C22×C4—28no—
1070C22×C4—28no—
1071C22×C4—28no—
1072C22×C4—24no—
1073C22×C4—28no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—42no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4C2512yes—
1102C22×C4C2514yes—
1103C22×C4C2514yes—
1104C22×C4C2514yes—
1105C22×C4C2512yes—
1106C22×C4C2514yes—
1107C22×C4C2514yes—
1108C22×C4C2511yescharacteristic
1109C22×C4C2512yes—
1110C22×C4C2514yes—
1111C22×C4C2514yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2514yes—
1115C22×C4C2512yes—
1116C22×C4C2511yescharacteristic
1117C22×C4C2512yes—
1118C22×C4C2511yescharacteristic
1119C22×C4C2512yes—
1120C4⋊C4—28no—
1121C4⋊C4—28no—
1122C4⋊C4—28no—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—22no—
1137C4⋊C4—24no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—44no—
1141C4⋊C4—42no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—42no—
1150C4⋊C4—44no—
1151C4⋊C4—42no—
1152C4⋊C4—41no—
1153C4⋊C4—44no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—41no—
1157C4⋊C4—44no—
1158C4⋊C4—42no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—44no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—24no—
1180C22⋊C4—28no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—28no—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—42no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—42no—
1217C22⋊C4—44no—
1218C22⋊C4C22×D4116yes—
1219C22⋊C4C22×D4116yes—
1220C22⋊C4C22×D4116yes—
1221C22⋊C4C22×D4116yes—
1222C22⋊C4C22×D418yes—
1223C42—24no—
1224C42—28no—
1225C42—28no—
1226C42—28no—
1227C42—24no—
1228C42—24no—
1229C42—24no—
1230C42—22no—
1231C42—24no—
1232C42—28no—
1233C42—42no—
1234C42—44no—
1235C42—42no—
1236C42—41no—
1237C42C22×D418yes—
1238C42C22×D414yes—
1239C23—22no—
1240C23—24no—
1241C23—22no—
1242C23—24no—
1243C23—24no—
1244C23—24no—
1245C23—24no—
1246C23—22no—
1247C23—22no—
1248C23—24no—
1249C23—24no—
1250C23—24no—
1251C23—24no—
1252C23—24no—
1253C23—24no—
1254C23—24no—
1255C23—24no—
1256C23—24no—
1257C23—24no—
1258C23—24no—
1259C23—24no—
1260C23—48no—
1261C23—416no—
1262C23—416no—
1263C23—88no—
1264C23—88no—
1265C23—88no—
1266C23—88no—
1267C23—162no—
1268C23—162no—
1269C23—164no—
1270C23—164no—
1271C23—164no—
1272C23C23×D418yes—
1273C23C23×D414yes—
1274C23C2×H(5,𝔽2)14yes—
1275C23C2611yescharacteristic
1276Q8—44no—
1277Q8—48no—
1278Q8—84no—
1279Q8—84no—
1280Q8—84no—
1281Q8—84no—
1282Q8—84no—
1283D4—48no—
1284D4—416no—
1285D4—48no—
1286D4—44no—
1287D4—44no—
1288D4—416no—
1289D4—416no—
1290D4—84no—
1291D4—84no—
1292D4—88no—
1293D4—88no—
1294D4—88no—
1295D4—88no—
1296D4—88no—
1297D4—88no—
1298D4—162no—
1299C2×C4—22no—
1300C2×C4—21no—
1301C2×C4—22no—
1302C2×C4—24no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—21no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—22no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—21no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—22no—
1324C2×C4—24no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—24no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—48no—
1347C2×C4—48no—
1348C2×C4—48no—
1349C2×C4—88no—
1350C2×C4—88no—
1351C2×C4—88no—
1352C2×C4—84no—
1353C2×C4—88no—
1354C2×C4—88no—
1355C2×C4—88no—
1356C2×C4—88no—
1357C2×C4—88no—
1358C2×C4—88no—
1359C2×C4—164no—
1360C2×C4—162no—
1361C2×C4C23×D418yes—
1362C2×C4C23×D414yes—
1363C2×C4C23×D412yes—
1364C2×C4C23×D414yes—
1365C2×C4C2×H(5,𝔽2)12yes—
1366C2×C4#58514yes—
1367C22—24no—
1368C22—24no—
1369C22—28no—
1370C22—28no—
1371C22—28no—
1372C22—28no—
1373C22—24no—
1374C22—24no—
1375C22—44no—
1376C22—44no—
1377C22—42no—
1378C22—42no—
1379C22—44no—
1380C22—44no—
1381C22—44no—
1382C22—44no—
1383C22—44no—
1384C22—44no—
1385C22—44no—
1386C22—44no—
1387C22—44no—
1388C22—44no—
1389C22—44no—
1390C22—44no—
1391C22—168no—
1392C22—1616no—
1393C22C24×D411yescharacteristic
1394C22C22×H(5,𝔽2)11yescharacteristic
1395C22C2×#58512yes—
1396C22H(7,𝔽2)11yescharacteristic
1397C222−1+612yes—
1398C4—24no—
1399C4—22no—
1400C4—28no—
1401C4—24no—
1402C4—22no—
1403C4—24no—
1404C4—42no—
1405C4—42no—
1406C4—42no—
1407C4—44no—
1408C4—44no—
1409C4—44no—
1410C4—44no—
1411C4—44no—
1412C4—41no—
1413C4—42no—
1414C4—44no—
1415C4—42no—
1416C4—44no—
1417C2—44no—
1418C2—44no—
1419C2—48no—
1420C2—84no—
1421C2#6287111yescharacteristic
1422C2#6287212yes—
1423C2D4×H(5,𝔽2)11yescharacteristic
1424C2#6298812yes—
1425C2#6302411yescharacteristic
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. C2×#3545C2semidirect
2. #59836C2semidirect
3. #59834C2semidirect
4. #59160C2semidirect
5. #59158C2semidirect
6. #51586C2semidirect
7. #51585C2semidirect
8. #51546C2semidirect
9. #51542C2semidirect
10. #51534C2semidirect
11. #51531C2semidirect
12. #46812C2semidirect
13. #46413C2semidirect
14. #43492C2semidirect
15. #43490C2semidirect
16. #43053C2semidirect
17. #43020C2semidirect
18. #43017C2semidirect
19. #39377C2semidirect
20. #39360C2semidirect
21. #37766C2semidirect
22. #37676C2semidirect
23. #34524C2semidirect
25. C2×#563C22semidirect
26. C2×#562C22semidirect
29. C2×#555C22semidirect
30. C2×#551C22semidirect
31. C2×#551C22semidirect
32. C2×#551C22semidirect
33. C2×D4×Q8C22semidirect
37. C2×#546C22semidirect
38. C2×#542C22semidirect
39. C2×#542C22semidirect
41. C2×#538C22semidirect
43. C2×#536C22semidirect
44. C2×#534C22semidirect
45. C2×#534C22semidirect
46. C2×#529C22semidirect
47. C22×#124C22semidirect
48. #2868C22semidirect
49. #2857C22semidirect
50. #2812C22semidirect
51. #2734C22semidirect
52. #2734C22semidirect
53. #2733C22semidirect
54. #2732C22semidirect
55. #2732C22semidirect
56. #2732C22semidirect
57. #2731C22semidirect
58. #2728C22semidirect
59. #2724C22semidirect
60. #2722C22semidirect
61. #2722C22semidirect
62. #2718C22semidirect
63. #2718C22semidirect
64. #2718C22semidirect
65. #2718C22semidirect
66. #2717C22semidirect
67. #2715C22semidirect
68. #2708C22semidirect
69. #2708C22semidirect
70. #2706C22semidirect
71. #2706C22semidirect
72. #2701C22semidirect
73. #2701C22semidirect
74. #2698C22semidirect
75. #2698C22semidirect
76. #2695C22semidirect
77. #2693C22semidirect
78. #2691C22semidirect
79. #2686C22semidirect
80. #2686C22semidirect
81. #2682C22semidirect
82. #2680C22semidirect
83. #2680C22semidirect
84. #2680C22semidirect
85. #2680C22semidirect
87. #2678C22semidirect
88. #2674C22semidirect
89. #2674C22semidirect
90. #2674C22semidirect
91. #2674C22semidirect
92. #2672C22semidirect
93. #2672C22semidirect
94. #2672C22semidirect
95. #2672C22semidirect
96. #2672C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
102. #2660C22semidirect
103. #2658C22semidirect
104. #2629C22semidirect
105. #2628C22semidirect
106. #2621C22semidirect
107. #2620C22semidirect
108. #2611C22semidirect
109. #2611C22semidirect
110. #2610C22semidirect
111. #2609C22semidirect
112. #2609C22semidirect
113. #2555C22semidirect
114. #2555C22semidirect
115. #2553C22semidirect
116. #2553C22semidirect
117. #2553C22semidirect
118. #2553C22semidirect
119. #2547C22semidirect
120. #2547C22semidirect
121. #2546C22semidirect
122. #2545C22semidirect
123. #2543C22semidirect
124. #2538C22semidirect
127. #2536C22semidirect
128. #2534C22semidirect
129. #2501C22semidirect
130. #2501C22semidirect
131. #2496C22semidirect
132. #2491C22semidirect
133. #2483C22semidirect
134. #2480C22semidirect
135. #2478C22semidirect
136. #2474C22semidirect
137. #2474C22semidirect
138. #2472C22semidirect
139. #2470C22semidirect
140. #2468C22semidirect
141. #2468C22semidirect
142. #2468C22semidirect
143. #2466C22semidirect
144. #2459C22semidirect
145. #2457C22semidirect
146. #2456C22semidirect
147. #2455C22semidirect
148. #2450C22semidirect
149. #2450C22semidirect
150. #2443C22semidirect
151. #2443C22semidirect
152. #2440C22semidirect
153. #2440C22semidirect
154. #2440C22semidirect
155. #2438C22semidirect
156. #2438C22semidirect
157. #2437C22semidirect
158. #2437C22semidirect
159. #2436C22semidirect
160. #2435C22semidirect
161. #2434C22semidirect
162. #2434C22semidirect
164. #2432C22semidirect
165. #2430C22semidirect
166. #2425C22semidirect
167. #2425C22semidirect
168. #2425C22semidirect
169. #2425C22semidirect
170. #2424C22semidirect
171. #2424C22semidirect
172. #2423C22semidirect
173. #2423C22semidirect
174. #2422C22semidirect
175. #2422C22semidirect
176. #2422C22semidirect
177. #2421C22semidirect
178. #2420C22semidirect
179. #2419C22semidirect
180. #2419C22semidirect
181. #2418C22semidirect
182. #2418C22semidirect
183. #2418C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
186. #2412C22semidirect
187. #2412C22semidirect
188. #2412C22semidirect
189. #2410C22semidirect
190. #2410C22semidirect
192. #2405C22semidirect
193. C2×#397C22semidirect
194. C2×#394C22semidirect
195. #2379C22semidirect
196. #2379C22semidirect
197. #2372C22semidirect
198. #2372C22semidirect
199. #2364C22semidirect
200. #2359C22semidirect
201. #2358C22semidirect
202. #2358C22semidirect
203. #2358C22semidirect
204. #2358C22semidirect
205. Q8×C4⋊C4C22semidirect
206. #2349C22semidirect
207. D4×C4⋊C4C22semidirect
208. #2342C22semidirect
209. #2326C22semidirect
210. #2326C22semidirect
211. #2321C22semidirect
212. #2321C22semidirect
213. #2315C22semidirect
214. C4×#124C22semidirect
215. C4×#124C22semidirect
216. #2293C22semidirect
217. #2293C22semidirect
218. #2290C22semidirect
219. #2290C22semidirect
227. H(3,𝔽4)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35452
#598362
#598342
#591602
#591582
#515862
#515852
#515462
#515422
#515342
#515312
#468122
#464132
#434922
#434902
#430532
#430202
#430172
#393772
#393602
#377662
#376762
#345242