Finite Group Databasebeta

← #7714729

Subgroups — #7714729

Order 512.

6888 conjugacy classes of subgroups.

The subgroup lattice has 1451 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C212yesmaximal, complemented
2#51782C214yesmaximal, complemented
3#51781C214yesmaximal, complemented
4#51584C214yesmaximal, complemented
5#51583C214yesmaximal, complemented
6#46383C214yesmaximal, complemented
7#46382C214yesmaximal, complemented
8#46375C214yesmaximal, complemented
9#46373C214yesmaximal, complemented
10#39487C212yesmaximal, complemented
11#39482C212yesmaximal, complemented
12#39359C212yesmaximal, complemented
13#39354C212yesmaximal, complemented
14#38087C214yesmaximal, complemented
15#38086C214yesmaximal, complemented
16#37452C212yesmaximal, complemented
17#37190C212yesmaximal, complemented
18#37130C212yesmaximal, complemented
19#35153C212yesmaximal, complemented
20#35150C211yesmaximal, characteristic, complemented
21#35089C211yesmaximal, characteristic, complemented
22#35006C212yesmaximal, complemented
23C2×#2323C211yesmaximal, characteristic, complemented
24#3535—232no—
25C2×#563C2214yes—
26C2×#562C2214yes—
27C2×#554C2214yescomplemented
28C2×#552C2214yescomplemented
29C2×#551C2214yes—
30C2×#551C2214yescomplemented
31C2×#547C2214yescomplemented
32C2×#546C2214yes—
33C2×#544C2212yescomplemented
34C2×#543C2212yescomplemented
35C2×#542C2214yes—
36C2×#539C2214yes—
37C2×#539C2214yescomplemented
38C2×#539C2212yescomplemented
39C2×#538C2212yescomplemented
40C2×#537C2212yes—
41C2×#537C2211yescharacteristic, complemented
42C2×#536C2214yescomplemented
43C2×#534C2211yescharacteristic
44C2×#525C2212yes—
45C22×#123C2212yes—
46C22×C22⋊Q8C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic, complemented
48C22×#117C2211yescharacteristic
49#2857C2212yescomplemented
50#2856C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2214yescomplemented
56#2814C2214yes—
57#2813C2214yes—
58#2734C2212yescomplemented
59#2733C2212yescomplemented
60#2732C2212yescomplemented
61#2732C2212yescomplemented
62#2731C2214yescomplemented
63#2730C2214yescomplemented
64#2730C2214yescomplemented
65#2729C2214yescomplemented
66#2729C2214yescomplemented
67#2728C2214yescomplemented
68#2727C2212yescomplemented
69#2727C2214yescomplemented
70#2726C2212yescomplemented
71#2726C2214yescomplemented
72#2725C2214yescomplemented
73#2725C2214yescomplemented
74#2725C2214yescomplemented
75#2718C2214yescomplemented
76#2716C2214yescomplemented
77#2714C2214yescomplemented
78#2713C2214yescomplemented
79#2711C2214yescomplemented
80#2710C2214yes—
81#2710C2214yescomplemented
82#2707C2214yescomplemented
83#2705C2214yescomplemented
84#2704C2214yescomplemented
85#2703C2214yes—
86#2702C2214yescomplemented
87#2700C2214yes—
88#2696C2214yescomplemented
89#2694C2214yescomplemented
90#2692C2214yescomplemented
91#2690C2214yescomplemented
92#2689C2214yescomplemented
93#2689C2214yescomplemented
94#2687C2214yescomplemented
95#2685C2214yescomplemented
96#2683C2212yescomplemented
97#2683C2214yescomplemented
98#2682C2212yescomplemented
99#2682C2214yescomplemented
100#2681C2214yes—
101#2681C2214yes—
102#2681C2214yescomplemented
103#2681C2214yescomplemented
104#2681C2214yescomplemented
105#2680C2214yes—
106#2678C2214yes—
107#2678C2214yescomplemented
108#2674C2214yescomplemented
109#2669C2214yes—
110#2639C2214yescomplemented
111#2630C2214yes—
112#2630C2214yes—
113#2627C2212yescomplemented
114#2626C2212yescomplemented
115#2618C2212yes—
116#2618C2212yes—
117#2618C2212yes—
118#2618C2214yescomplemented
119#2618C2212yescomplemented
120#2618C2212yescomplemented
121#2618C2214yescomplemented
122#2617C2212yes—
123#2617C2212yes—
124#2617C2212yescomplemented
125#2579C2214yescomplemented
126#2564C2214yescomplemented
127#2560C2214yescomplemented
128#2560C2214yescomplemented
129#2558C2214yescomplemented
130#2558C2214yescomplemented
131#2543C2214yes—
132#2534C2214yescomplemented
133#2512C2212yescomplemented
134#2512C2212yescomplemented
135#2506C2212yescomplemented
136#2506C2212yescomplemented
137#2498C2214yescomplemented
138#2498C2214yescomplemented
139#2498C2214yescomplemented
140#2481C2214yescomplemented
141#2480C2214yescomplemented
142#2478C2214yescomplemented
143#2477C2214yescomplemented
144#2476C2214yes—
145#2473C2214yescomplemented
146#2472C2214yes—
147#2472C2214yescomplemented
148#2471C2214yescomplemented
149#2470C2214yes—
150#2470C2214yescomplemented
151#2467C2214yescomplemented
152#2466C2214yescomplemented
153#2466C2214yescomplemented
154#2465C2214yescomplemented
155#2464C2214yes—
156#2464C2214yes—
157#2461C2214yes—
158#2460C2214yescomplemented
159#2459C2214yescomplemented
160#2458C2214yescomplemented
161#2457C2214yes—
162#2455C2214yescomplemented
163#2453C2214yescomplemented
164#2452C2212yescomplemented
165#2452C2214yescomplemented
166#2452C2212yescomplemented
167#2445C2212yescomplemented
168#2445C2212yescomplemented
169#2441C2214yescomplemented
170#2440C2214yescomplemented
171#2430C2214yes—
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2429C2214yescomplemented
175#2429C2214yescomplemented
176#2429C2214yescomplemented
177#2429C2214yescomplemented
178#2429C2214yescomplemented
179#2428C2214yescomplemented
180#2426C2214yescomplemented
181#2426C2214yescomplemented
182#2426C2214yescomplemented
183#2426C2214yescomplemented
184#2424C2214yes—
185#2417C2214yescomplemented
186#2416C2214yescomplemented
187#2416C2214yescomplemented
188#2415C2214yescomplemented
189#2415C2214yescomplemented
190#2415C2214yescomplemented
191#2414C2214yescomplemented
192#2414C2214yescomplemented
193#2413C2214yes—
194#2413C2214yes—
195#2412C2214yes—
196#2411C2214yes—
197#2411C2214yes—
198#2410C2214yes—
199#2325C2214yescomplemented
200#2323C2214yescomplemented
201#2323C2214yescomplemented
202#2323C2214yescomplemented
203#2323C2214yescomplemented
204#2316C2212yescomplemented
205#2316C2211yescharacteristic, complemented
206#2315C2211yescharacteristic
207#2311C2212yescomplemented
208#2308C2212yes—
209C4×#121C2212yes—
210C4×#121C2212yescomplemented
211#2297C2214yescomplemented
212C2×#391C2211yescharacteristic, complemented
213C2×#389C2211yescharacteristic, complemented
214C2×#389C2212yescomplemented
215C2×#388C2212yes—
216C2×#388C2212yes—
217C2×#387C2212yescomplemented
218C2×#380C2211yescharacteristic
219C2×C4×C4⋊C4C2211yescharacteristic, complemented
220C22×#41C2312yes—
221C22×#41C2314yes—
222C23×Q8C2311yescharacteristic
223C23×D4C2312yes—
224C24×C4C2311yescharacteristic
225#563—232no—
226#562—232no—
227#554—232no—
228#552—232no—
229#551—232no—
230#551—232no—
231#547—232no—
232#546—232no—
233#544—216no—
234#543—216no—
235#542—232no—
236#539—232no—
237#539—216no—
238#539—232no—
239#538—216no—
240#537—48no—
241#537—44no—
242#536—232no—
243#534—44no—
244C2×C4⋊Q8C2314yes—
245C2×C4⋊Q8C2314yes—
246C2×C4⋊Q8C2314yes—
247C2×C4⋊Q8C2312yes—
248C2×#127C2312yes—
249C2×#126C2314yes—
250C2×#126C2314yes—
251C2×#126C2314yes—
252C2×#126C2314yes—
253C2×#126C2314yes—
254C2×#126C2314yes—
255C2×#125C2314yes—
256C2×#125C2314yes—
257C2×#125C2314yes—
258C2×#125C2314yes—
259C2×#125C2314yes—
260C2×#124C2314yes—
261C2×#124C2314yes—
262C2×#124C2314yes—
263C2×#124C2314yes—
264#525—216no—
265C2×#123—216no—
266C2×#123C2314yes—
267C2×#123C2314yes—
268C2×#123C2314yes—
269C2×#123C2314yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2314yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×#123C2314yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×C22⋊Q8D4116yescomplemented
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2314yes—
323C2×#120C2314yes—
324C2×C4×Q8—44no—
325C2×C4×Q8C2314yes—
326C2×C4×Q8C2314yes—
327C2×C4×Q8C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×#117—44no—
338C2×#117C2312yes—
339C2×#117C2314yes—
340C2×#117C2314yes—
341C2×#117C2314yes—
342C2×#117C2314yes—
343C2×#117C2314yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2314yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2312yes—
366C22×C42C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
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#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#384C2312yes—
604#384C2312yes—
605#381C2314yes—
606#381C2314yes—
607#380C2312yes—
608#380C2314yes—
609#380C2314yes—
610#380C2314yes—
611#380C2312yes—
612#380C2312yes—
613#380C2312yes—
614#380C2314yes—
615#380C2312yes—
616#380C2312yes—
617#380C2314yes—
618#380C2314yes—
619#380C2314yes—
620#379C2314yes—
621#379C2314yes—
622C4×C4⋊C4C2312yes—
623C4×C4⋊C4C2312yes—
624C4×C4⋊C4C2312yes—
625C4×C4⋊C4C2312yes—
626C4×C4⋊C4C2312yes—
627C4×C4⋊C4C2312yes—
628C4×C22⋊C4C2314yes—
629C4×C22⋊C4C2314yes—
630C4×C22⋊C4C2314yes—
631C4×C22⋊C4C2314yes—
632C4×C22⋊C4C2314yes—
633C4×C22⋊C4C2314yes—
634C2×#95C2312yes—
635C2×#95C2312yes—
636C2×#95C2312yes—
637C2×#95C2312yes—
638C2×#95C2312yes—
639C25C2411yescharacteristic
640C25C2412yes—
641C2×#41—28no—
642C2×#41—216no—
643C2×#41—48no—
644C2×#41—44no—
645C2×#41—44no—
646C2×#41—48no—
647C22×Q8—42no—
648C22×Q8—42no—
649C22×Q8C2×D418yes—
650C22×Q8C2414yes—
651C22×Q8C2412yes—
652C22×Q8C2414yes—
653C22×Q8C2412yes—
654C22×Q8C2412yes—
655C22×D4—28no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2412yes—
663C22×D4C2414yes—
664C22×D4C2412yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2412yes—
668C22×D4C2412yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2412yes—
672C23×C4—42no—
673C23×C4—42no—
674C23×C4C2×D418yes—
675C23×C4C2412yes—
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2412yes—
679C23×C4C2412yes—
680C23×C4C2411yescharacteristic
681C23×C4C2412yes—
682C23×C4C2411yescharacteristic
683C23×C4C2412yes—
684C23×C4C2411yescharacteristic
685C23×C4C2414yes—
686C23×C4C2414yes—
687C23×C4C2412yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2412yes—
692C23×C4C2412yes—
693C23×C4C2412yes—
694C23×C4C2411yescharacteristic
695C4⋊Q8—216no—
696C4⋊Q8—216no—
697C4⋊Q8—216no—
698C4⋊Q8—82no—
699#127—82no—
700#126—216no—
701#126—216no—
702#126—216no—
703#126—216no—
704#126—216no—
705#126—216no—
706#125—216no—
707#125—216no—
708#125—216no—
709#125—216no—
710#125—216no—
711#124—216no—
712#124—216no—
713#124—216no—
714#124—216no—
715#123—216no—
716#123—216no—
717#123—216no—
718#123—216no—
719#123—216no—
720#123—216no—
721#123—216no—
722#123—216no—
723#123—216no—
724#123—216no—
725#123—216no—
726#123—216no—
727#123—216no—
728#123—216no—
729#123—48no—
730#123—84no—
731C22⋊Q8—216no—
732C22⋊Q8—216no—
733C22⋊Q8—216no—
734C22⋊Q8—216no—
735C22⋊Q8—28no—
736C22⋊Q8—28no—
737C22⋊Q8—216no—
738C22⋊Q8—216no—
739C22⋊Q8—216no—
740C22⋊Q8—216no—
741C22⋊Q8—216no—
742C22⋊Q8—216no—
743C22⋊Q8—216no—
744C22⋊Q8—216no—
745C22⋊Q8—48no—
746C22⋊Q8—48no—
747C22⋊Q8—48no—
748C22⋊Q8—84no—
749C22⋊Q8C2×D4116yes—
750C22⋊Q8C2×D4116yes—
751C22⋊Q8C2×D4132yes—
752#121—28no—
753#121—28no—
754#121—216no—
755#121—28no—
756#121—28no—
757#121—216no—
758#121—216no—
759#121—216no—
760#121—48no—
761#121—48no—
762#121—48no—
763#121—48no—
764#121—44no—
765#121—44no—
766#121—48no—
767#121—84no—
768#120—216no—
769#120—216no—
770#120—48no—
771#120—84no—
772C4×Q8—216no—
773C4×Q8—48no—
774C4×Q8—48no—
775C4×D4—216no—
776C4×D4—216no—
777C4×D4—216no—
778C4×D4—216no—
779C4×D4—216no—
780C4×D4—216no—
781C4×D4—216no—
782C4×D4—82no—
783C4×D4—82no—
784#117—28no—
785#117—216no—
786#117—216no—
787#117—216no—
788#117—48no—
789#117—48no—
790C2×C4⋊C4—28no—
791C2×C4⋊C4—28no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—28no—
794C2×C4⋊C4—216no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—42no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—82no—
799C2×C4⋊C4C2×D418yes—
800C2×C4⋊C4C2×D4116yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2411yescharacteristic
855C2×C22⋊C4—28no—
856C2×C22⋊C4—28no—
857C2×C22⋊C4—28no—
858C2×C22⋊C4—24no—
859C2×C22⋊C4—216no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—82no—
862C2×C22⋊C4C2×D4116yes—
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⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C42—24no—
913C2×C42—42no—
914C2×C42—44no—
915C2×C42—82no—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2412yes—
919C2×C42C2412yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2412yes—
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2414yes—
928C2×C42C2414yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931#95C2412yes—
932#95C2412yes—
933#95C2412yes—
934#95C2412yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
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#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967C24—22no—
968C24—22no—
969C24—24no—
970C24—41no—
971C24—41no—
972C24—41no—
973C24—41no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24C22×D414yes—
981C24C2514yes—
982C24C2514yes—
983C24C2512yes—
984C24C2511yescharacteristic
985#41—816no—
986#41—832no—
987C2×Q8—28no—
988C2×Q8—24no—
989C2×Q8—28no—
990C2×Q8—42no—
991C2×Q8—42no—
992C2×Q8—416no—
993C2×Q8—42no—
994C2×Q8—42no—
995C2×Q8—44no—
996C2×Q8—42no—
997C2×Q8—44no—
998C2×Q8—44no—
999C2×Q8—42no—
1000C2×Q8—44no—
1001C2×Q8C22×D418yes—
1002C2×Q8C22×D418yes—
1003C2×D4—28no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—24no—
1015C2×D4—24no—
1016C2×D4—24no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—42no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—44no—
1033C2×D4—42no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—42no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—44no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—44no—
1045C2×D4—816no—
1046C22×C4—22no—
1047C22×C4—24no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—24no—
1052C22×C4—24no—
1053C22×C4—22no—
1054C22×C4—24no—
1055C22×C4—24no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—28no—
1061C22×C4—28no—
1062C22×C4—28no—
1063C22×C4—28no—
1064C22×C4—28no—
1065C22×C4—41no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—416no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—41no—
1073C22×C4—42no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—41no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—42no—
1091C22×C4—41no—
1092C22×C4—42no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4C22×D418yes—
1101C22×C4C22×D414yes—
1102C22×C4C22×D414yes—
1103C22×C4C22×D418yes—
1104C22×C4C22×D418yes—
1105C22×C4C22×D418yes—
1106C22×C4H(5,𝔽2)14yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2514yes—
1113C22×C4C2514yes—
1114C22×C4C2514yes—
1115C22×C4C2514yes—
1116C22×C4C2514yes—
1117C22×C4C2514yes—
1118C22×C4C2514yes—
1119C22×C4C2512yes—
1120C22×C4C2514yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2511yescharacteristic
1124C22×C4C2511yescharacteristic
1125C22×C4C2512yes—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—24no—
1150C4⋊C4—24no—
1151C4⋊C4—41no—
1152C4⋊C4—42no—
1153C4⋊C4—41no—
1154C4⋊C4—44no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—44no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—44no—
1169C4⋊C4—42no—
1170C4⋊C4—44no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4C22×D4116yes—
1176C4⋊C4C22×D4116yes—
1177C4⋊C4C22×D414yes—
1178C4⋊C4C22×D418yes—
1179C4⋊C4C22×D414yes—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
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—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
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—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4C22×D4116yes—
1228C22⋊C4C22×D4116yes—
1229C42—28no—
1230C42—28no—
1231C42—28no—
1232C42—28no—
1233C42—28no—
1234C42—24no—
1235C42—24no—
1236C42—42no—
1237C42—42no—
1238C42—44no—
1239C42—44no—
1240C42—42no—
1241C42—42no—
1242C42—42no—
1243C42—42no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—28no—
1255C23—24no—
1256C23—24no—
1257C23—24no—
1258C23—24no—
1259C23—24no—
1260C23—24no—
1261C23—24no—
1262C23—24no—
1263C23—24no—
1264C23—24no—
1265C23—24no—
1266C23—24no—
1267C23—24no—
1268C23—24no—
1269C23—44no—
1270C23—44no—
1271C23—48no—
1272C23—82no—
1273C23—82no—
1274C23—82no—
1275C23—82no—
1276C23—84no—
1277C23—84no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23C23×D414yes—
1283C23C23×D412yes—
1284C23C2×H(5,𝔽2)12yes—
1285C23#58512yes—
1286C23C2611yescharacteristic
1287Q8—48no—
1288Q8—48no—
1289Q8—88no—
1290Q8—84no—
1291Q8—88no—
1292D4—416no—
1293D4—416no—
1294D4—416no—
1295D4—88no—
1296D4—84no—
1297D4—84no—
1298D4—84no—
1299D4—88no—
1300D4—88no—
1301D4—88no—
1302D4—162no—
1303D4—164no—
1304D4—164no—
1305D4—162no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—24no—
1309C2×C4—22no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—24no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—28no—
1321C2×C4—28no—
1322C2×C4—216no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—24no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—48no—
1360C2×C4—48no—
1361C2×C4—48no—
1362C2×C4—44no—
1363C2×C4—48no—
1364C2×C4—44no—
1365C2×C4—88no—
1366C2×C4—88no—
1367C2×C4—88no—
1368C2×C4—88no—
1369C2×C4—88no—
1370C2×C4—84no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—82no—
1375C2×C4—84no—
1376C2×C4C23×D414yes—
1377C2×C4C23×D418yes—
1378C2×C4C23×D414yes—
1379C2×C4C23×D414yes—
1380C2×C4C23×D412yes—
1381C2×C4C23×D412yes—
1382C2×C4C2×H(5,𝔽2)14yes—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—24no—
1390C22—24no—
1391C22—24no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—42no—
1396C22—44no—
1397C22—44no—
1398C22—44no—
1399C22—44no—
1400C22—44no—
1401C22—44no—
1402C22—44no—
1403C22—44no—
1404C22—44no—
1405C22—44no—
1406C22—44no—
1407C22—44no—
1408C22—44no—
1409C22—44no—
1410C22—88no—
1411C22—168no—
1412C22#349614yes—
1413C22C24×D411yescharacteristic
1414C22C22×H(5,𝔽2)11yescharacteristic
1415C22C2×#58511yescharacteristic
1416C22H(7,𝔽2)11yescharacteristic
1417C222−1+611yescharacteristic
1418C222−1+611yescharacteristic
1419C222−1+611yescharacteristic
1420C4—24no—
1421C4—22no—
1422C4—22no—
1423C4—28no—
1424C4—24no—
1425C4—24no—
1426C4—24no—
1427C4—44no—
1428C4—44no—
1429C4—44no—
1430C4—44no—
1431C4—44no—
1432C4—44no—
1433C4—42no—
1434C4—44no—
1435C4—42no—
1436C4—42no—
1437C4—42no—
1438C4—42no—
1439C2—24no—
1440C2—44no—
1441C2—84no—
1442C2—84no—
1443C2C2×#349611yescharacteristic
1444C2#6284811yescharacteristic
1445C2#6285311yescharacteristic
1446C2#6286611yescharacteristic
1447C2#6287211yescharacteristic
1448C2#6287311yescharacteristic
1449C2#6288711yescharacteristic
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×#3535C2semidirect
2. #51782C2semidirect
3. #51781C2semidirect
4. #51584C2semidirect
5. #51583C2semidirect
6. #46383C2semidirect
7. #46382C2semidirect
8. #46375C2semidirect
9. #46373C2semidirect
10. #39487C2semidirect
11. #39482C2semidirect
12. #39359C2semidirect
13. #39354C2semidirect
14. #38087C2semidirect
15. #38086C2semidirect
16. #37452C2semidirect
17. #37190C2semidirect
18. #37130C2semidirect
19. #35153C2semidirect
20. #35150C2semidirect
21. #35089C2semidirect
22. #35006C2semidirect
23. C2×#2323C2semidirect
27. C2×#554C22semidirect
28. C2×#552C22semidirect
30. C2×#551C22semidirect
31. C2×#547C22semidirect
33. C2×#544C22semidirect
34. C2×#543C22semidirect
37. C2×#539C22semidirect
38. C2×#539C22semidirect
39. C2×#538C22semidirect
41. C2×#537C22semidirect
42. C2×#536C22semidirect
47. C22×C4×Q8C22semidirect
49. #2857C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
58. #2734C22semidirect
59. #2733C22semidirect
60. #2732C22semidirect
61. #2732C22semidirect
62. #2731C22semidirect
63. #2730C22semidirect
64. #2730C22semidirect
65. #2729C22semidirect
66. #2729C22semidirect
67. #2728C22semidirect
68. #2727C22semidirect
69. #2727C22semidirect
70. #2726C22semidirect
71. #2726C22semidirect
72. #2725C22semidirect
73. #2725C22semidirect
74. #2725C22semidirect
75. #2718C22semidirect
76. #2716C22semidirect
77. #2714C22semidirect
78. #2713C22semidirect
79. #2711C22semidirect
81. #2710C22semidirect
82. #2707C22semidirect
83. #2705C22semidirect
84. #2704C22semidirect
86. #2702C22semidirect
88. #2696C22semidirect
89. #2694C22semidirect
90. #2692C22semidirect
91. #2690C22semidirect
92. #2689C22semidirect
93. #2689C22semidirect
94. #2687C22semidirect
95. #2685C22semidirect
96. #2683C22semidirect
97. #2683C22semidirect
98. #2682C22semidirect
99. #2682C22semidirect
102. #2681C22semidirect
103. #2681C22semidirect
104. #2681C22semidirect
107. #2678C22semidirect
108. #2674C22semidirect
110. #2639C22semidirect
113. #2627C22semidirect
114. #2626C22semidirect
118. #2618C22semidirect
119. #2618C22semidirect
120. #2618C22semidirect
121. #2618C22semidirect
124. #2617C22semidirect
125. #2579C22semidirect
126. #2564C22semidirect
127. #2560C22semidirect
128. #2560C22semidirect
129. #2558C22semidirect
130. #2558C22semidirect
132. #2534C22semidirect
133. #2512C22semidirect
134. #2512C22semidirect
135. #2506C22semidirect
136. #2506C22semidirect
137. #2498C22semidirect
138. #2498C22semidirect
139. #2498C22semidirect
140. #2481C22semidirect
141. #2480C22semidirect
142. #2478C22semidirect
143. #2477C22semidirect
145. #2473C22semidirect
147. #2472C22semidirect
148. #2471C22semidirect
150. #2470C22semidirect
151. #2467C22semidirect
152. #2466C22semidirect
153. #2466C22semidirect
154. #2465C22semidirect
158. #2460C22semidirect
159. #2459C22semidirect
160. #2458C22semidirect
162. #2455C22semidirect
163. #2453C22semidirect
164. #2452C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
169. #2441C22semidirect
170. #2440C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2429C22semidirect
175. #2429C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2429C22semidirect
179. #2428C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
185. #2417C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2415C22semidirect
189. #2415C22semidirect
190. #2415C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
199. #2325C22semidirect
200. #2323C22semidirect
201. #2323C22semidirect
202. #2323C22semidirect
203. #2323C22semidirect
204. #2316C22semidirect
205. #2316C22semidirect
207. #2311C22semidirect
210. C4×#121C22semidirect
211. #2297C22semidirect
212. C2×#391C22semidirect
213. C2×#389C22semidirect
214. C2×#389C22semidirect
217. C2×#387C22semidirect
219. C2×C4×C4⋊C4C22semidirect
282. C2×C22⋊Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
#517822
#517812
#515842
#515832
#463832
#463822
#463752
#463732
#394872
#394822
#393592
#393542
#380872
#380862
#374522
#371902
#371302
#351532
#351502
#350892
#350062
C2×#23232