Finite Group Databasebeta

← #8075563

Subgroups — #8075563

Order 512.

7357 conjugacy classes of subgroups.

The subgroup lattice has 1505 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3533C212yesmaximal, complemented
2#59836C211yesmaximal, characteristic, complemented
3#59835C212yesmaximal, complemented
4#59189C212yesmaximal, complemented
5#59003C214yesmaximal, complemented
6#51897C214yesmaximal, complemented
7#51895C212yesmaximal, complemented
8#50684C212yesmaximal, complemented
9#50646C212yesmaximal, complemented
10#47944C214yesmaximal, complemented
11#47863C214yesmaximal, complemented
12#47801C212yesmaximal, complemented
13#47683C214yesmaximal, complemented
14#45387C212yesmaximal, complemented
15#44882C214yesmaximal, complemented
16#44184C214yesmaximal, complemented
17#44165C214yesmaximal, complemented
18#44138C214yesmaximal, complemented
19#39386C212yesmaximal, complemented
20#39361C211yesmaximal, characteristic, complemented
21#37801C214yesmaximal, complemented
22#37646C212yesmaximal, complemented
23#34523C211yesmaximal, characteristic, complemented
24#3533—232no—
25C2×#563C2211yescharacteristic
26C2×#562C2214yescomplemented
27C2×#560C2212yes—
28C2×#559C2212yes—
29C2×#553C2214yescomplemented
30C2×#552C2214yescomplemented
31C2×#551C2212yes—
32C2×#551C2214yescomplemented
33C2×#550C2212yes—
34C2×#550C2211yescharacteristic, complemented
35C2×#547C2214yescomplemented
36C2×#546C2214yescomplemented
37C2×D42C2211yescharacteristic
38C2×#542C2214yescomplemented
39C2×#540C2214yescomplemented
40C2×#539C2214yescomplemented
41C2×#538C2214yescomplemented
42C2×#538C2214yescomplemented
43C2×#535C2212yes—
44C2×#534C2212yes—
45C2×#525C2214yescomplemented
46C22×#123C2212yes—
47C22×#121C2212yescomplemented
48#2867C2211yescharacteristic, complemented
49#2849C2212yescomplemented
50#2819C2212yescomplemented
51#2733C2212yescomplemented
52#2732C2212yescomplemented
53#2732C2214yescomplemented
54#2730C2214yescomplemented
55#2730C2214yescomplemented
56#2728C2212yescomplemented
57#2727C2212yescomplemented
58#2726C2212yescomplemented
59#2724C2211yescharacteristic
60#2723C2214yescomplemented
61#2714C2214yescomplemented
62#2714C2214yescomplemented
63#2711C2214yescomplemented
64#2711C2214yescomplemented
65#2710C2214yescomplemented
66#2709C2212yes—
67#2707C2214yescomplemented
68#2705C2214yescomplemented
69#2705C2214yescomplemented
70#2696C2214yescomplemented
71#2691C2214yescomplemented
72#2685C2214yescomplemented
73#2683C2212yescomplemented
74#2682C2212yes—
75#2682C2214yescomplemented
76#2682C2214yescomplemented
77#2681C2214yescomplemented
78#2679C2211yescharacteristic
79#2678C2214yes—
80#2678C2214yescomplemented
81#2678C2214yescomplemented
82#2676C2214yescomplemented
83#2676C2214yescomplemented
84#2676C2214yescomplemented
85#2673C2214yescomplemented
86#2673C2214yescomplemented
87#2673C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2672C2214yescomplemented
94#2671C2214yes—
95#2671C2214yescomplemented
96#2670C2214yescomplemented
97#2669C2212yes—
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2661C2214yescomplemented
103#2635C2214yescomplemented
104#2619C2214yescomplemented
105#2619C2212yescomplemented
106#2618C2212yescomplemented
107#2613C2212yescomplemented
108#2610C2214yescomplemented
109#2609C2212yescomplemented
110#2609C2214yescomplemented
111#2609C2212yescomplemented
112#2602C2214yescomplemented
113#2560C2214yescomplemented
114#2558C2214yescomplemented
115#2557C2214yescomplemented
116#2556C2214yescomplemented
117#2555C2214yescomplemented
118#2554C2214yescomplemented
119#2554C2214yescomplemented
120#2553C2214yescomplemented
121#2548C2211yescharacteristic, complemented
122#2544C2214yescomplemented
123#2541C2211yescharacteristic
124#2541C2212yescomplemented
125#2541C2212yescomplemented
126#2541C2214yescomplemented
127#2541C2214yescomplemented
128#2540C2214yescomplemented
129#2540C2214yescomplemented
130#2539C2212yescomplemented
131#2536C2212yescomplemented
132#2536C2212yescomplemented
133#2535C2214yescomplemented
134#2534C2212yes—
135#2475C2214yescomplemented
136#2472C2214yescomplemented
137#2472C2214yescomplemented
138#2471C2214yescomplemented
139#2469C2214yescomplemented
140#2468C2214yescomplemented
141#2467C2214yescomplemented
142#2467C2214yescomplemented
143#2464C2214yescomplemented
144#2463C2214yescomplemented
145#2463C2214yescomplemented
146#2460C2214yescomplemented
147#2458C2214yescomplemented
148#2457C2214yescomplemented
149#2456C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2456C2214yescomplemented
153#2455C2214yescomplemented
154#2445C2214yescomplemented
155#2445C2214yescomplemented
156#2445C2214yescomplemented
157#2443C2214yescomplemented
158#2443C2214yescomplemented
159#2443C2214yescomplemented
160#2443C2214yescomplemented
161#2433C2212yes—
162#2433C2214yescomplemented
163#2433C2214yescomplemented
164#2433C2214yescomplemented
165#2431C2214yescomplemented
166#2431C2212yescomplemented
167#2428C2214yescomplemented
168#2428C2214yescomplemented
169#2428C2214yescomplemented
170#2428C2214yescomplemented
171#2428C2214yescomplemented
172#2426C2214yescomplemented
173#2426C2214yescomplemented
174#2424C2214yes—
175#2424C2214yescomplemented
176#2424C2214yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2418C2214yescomplemented
180#2417C2214yescomplemented
181#2416C2214yescomplemented
182#2416C2214yescomplemented
183#2414C2214yescomplemented
184#2412C2212yescomplemented
185#2410C2214yes—
186#2410C2212yescomplemented
187#2410C2214yescomplemented
188#2407C2214yescomplemented
189#2407C2214yescomplemented
190#2407C2214yescomplemented
191#2405C2212yes—
192#2403C2212yes—
193#2397C2212yescomplemented
194#2392C2214yescomplemented
195#2382C2212yescomplemented
196#2379C2211yescharacteristic
197#2374C2212yes—
198#2373C2214yescomplemented
199#2369C2212yescomplemented
200#2366C2212yescomplemented
201#2366C2212yescomplemented
202#2363C2214yescomplemented
203#2361C2214yescomplemented
204#2360C2214yescomplemented
205#2360C2214yescomplemented
206#2358C2214yescomplemented
207#2358C2214yescomplemented
208D4×C22⋊C4C2212yescomplemented
209#2334C2214yescomplemented
210#2332C2214yescomplemented
211#2328C2212yescomplemented
212#2327C2212yescomplemented
213#2324C2214yescomplemented
214#2322C2212yes—
215C4×#125C2212yescomplemented
216C4×#124C2211yescharacteristic
217C4×#120C2214yescomplemented
218#2293C2211yescharacteristic, complemented
219#2293C2212yescomplemented
220C22×#41C2314yes—
221C22×#41C2312yes—
222C23×D4C2312yes—
223C23×D4C2312yes—
224C23×D4C2312yes—
225C23×D4C2312yes—
226C24×C4C2312yes—
227#563D4116yescomplemented
228#562—232no—
229#560—216no—
230#559—216no—
231#553—232no—
232#552—232no—
233#551—232no—
234#551—216no—
235#550—44no—
236#550—48no—
237#547—232no—
238#546—232no—
239D42—44no—
240#542—232no—
241#540—232no—
242#539—232no—
243#538—232no—
244#538—232no—
245#535—216no—
246#534—216no—
247C2×C4⋊Q8C2312yes—
248C2×#127C2312yes—
249C2×#127C2312yes—
250C2×#127C2312yes—
251C2×#127C2312yes—
252C2×#127C2312yes—
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#127C2314yes—
256C2×#127C2314yes—
257C2×#127C2312yes—
258C2×#127C2314yes—
259C2×#127C2314yes—
260C2×#126C2314yes—
261C2×#126C2314yes—
262C2×#126C2314yes—
263C2×#126C2314yes—
264C2×#126C2314yes—
265C2×#125C2314yes—
266C2×#125C2314yes—
267C2×#125C2312yes—
268C2×#124C2314yes—
269C2×#124C2314yes—
270C2×#124C2314yes—
271C2×#124C2312yes—
272C2×#124C2314yes—
273C2×#124C2314yes—
274C2×#124C2311yescharacteristic
275#525—232no—
276C2×#123—216no—
277C2×#123C2312yes—
278C2×#123C2312yes—
279C2×#123C2312yes—
280C2×#123C2312yes—
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×#123C2312yes—
294C2×#123C2312yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×#121—48no—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#120C2312yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2312yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2312yes—
341C2×#120C2312yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383#400C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#398C2314yes—
390#398C2312yes—
391#398C2312yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#395C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2312yes—
414#394C2312yes—
415#394C2314yes—
416#394C2314yes—
417#394C2312yes—
418#394C2312yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
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#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#392C2314yes—
448#392C2314yes—
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
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#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#386C2314yes—
556#386C2312yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2312yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#385C2312yes—
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#382C2312yes—
604#382C2312yes—
605#382C2312yes—
606#382C2311yescharacteristic
607#381C2312yes—
608#381C2312yes—
609#380C2314yes—
610#380C2312yes—
611#380C2314yes—
612#380C2314yes—
613#380C2314yes—
614#379C2312yes—
615#379C2312yes—
616#379C2312yes—
617#379C2314yes—
618C4×C4⋊C4C2312yes—
619C4×C4⋊C4C2312yes—
620C4×C4⋊C4C2314yes—
621C4×C4⋊C4C2314yes—
622C4×C4⋊C4C2314yes—
623C4×C4⋊C4C2314yes—
624C4×C4⋊C4C2312yes—
625C4×C4⋊C4C2311yescharacteristic
626C4×C22⋊C4C2314yes—
627C4×C22⋊C4C2312yes—
628C4×C22⋊C4C2314yes—
629C4×C22⋊C4C2314yes—
630C4×C22⋊C4C2314yes—
631C4×C22⋊C4C2314yes—
632C4×C22⋊C4C2312yes—
633C4×C22⋊C4C2314yes—
634C4×C22⋊C4C2314yes—
635C4×C22⋊C4C2314yes—
636#376C2312yes—
637C43C2311yescharacteristic
638C25C2412yes—
639C25C2412yes—
640C25C2412yes—
641C2×#41—216no—
642C2×#41—28no—
643C2×#41—44no—
644C2×#41—48no—
645C2×#41—84no—
646C2×#41—82no—
647C22×Q8C2414yes—
648C22×Q8C2412yes—
649C22×Q8C2411yescharacteristic
650C22×D4—28no—
651C22×D4—28no—
652C22×D4—28no—
653C22×D4—44no—
654C22×D4—44no—
655C22×D4—44no—
656C22×D4—82no—
657C22×D4—82no—
658C22×D4—84no—
659C22×D4—84no—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2412yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2412yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2412yes—
675C22×D4C2412yes—
676C22×D4C2412yes—
677C22×D4C2414yes—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2412yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2411yescharacteristic
688C22×D4C2411yescharacteristic
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2412yes—
692C22×D4C2411yescharacteristic
693C22×D4C2411yescharacteristic
694C23×C4—28no—
695C23×C4—44no—
696C23×C4—82no—
697C23×C4C2414yes—
698C23×C4C2412yes—
699C23×C4C2414yes—
700C23×C4C2412yes—
701C23×C4C2412yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704C23×C4C2414yes—
705C23×C4C2414yes—
706C23×C4C2414yes—
707C23×C4C2414yes—
708C23×C4C2414yes—
709C23×C4C2412yes—
710C23×C4C2412yes—
711C4⋊Q8C2×D4116yescomplemented
712#127—28no—
713#127—28no—
714#127—28no—
715#127—44no—
716#127—44no—
717#127—42no—
718#127—42no—
719#127—48no—
720#127—84no—
721#127—84no—
722#127—82no—
723#127—84no—
724#126—216no—
725#126—216no—
726#126—216no—
727#126—216no—
728#126C2×D4132yescomplemented
729#125—216no—
730#125—216no—
731#125C2×D4116yescomplemented
732#124—28no—
733#124—216no—
734#124—216no—
735#124—216no—
736#124—216no—
737#124—84no—
738#124C2×D418yes—
739#123—28no—
740#123—28no—
741#123—28no—
742#123—216no—
743#123—216no—
744#123—216no—
745#123—216no—
746#123—216no—
747#123—216no—
748#123—216no—
749#123—216no—
750#123—216no—
751#123—216no—
752#123—28no—
753#123—216no—
754#123—216no—
755#123—82no—
756#123C2×D4116yes—
757C22⋊Q8—216no—
758C22⋊Q8—216no—
759C22⋊Q8—216no—
760C22⋊Q8—216no—
761C22⋊Q8—216no—
762C22⋊Q8—216no—
763C22⋊Q8—48no—
764C22⋊Q8—84no—
765C22⋊Q8C2×D4132yescomplemented
766#121—216no—
767#121—216no—
768#121—216no—
769#121—216no—
770#121—216no—
771#121—216no—
772#121—216no—
773#121—216no—
774#121—216no—
775#121—216no—
776#121—216no—
777#121—216no—
778#121—216no—
779#121—48no—
780#121—48no—
781#121—48no—
782#121—48no—
783#121—48no—
784#121—48no—
785#121—48no—
786#121—44no—
787#121—48no—
788#121—44no—
789#121—44no—
790#121—84no—
791#121—84no—
792#121—84no—
793#121—84no—
794#121—84no—
795#120—28no—
796#120—216no—
797#120—216no—
798#120—28no—
799#120—216no—
800#120—216no—
801#120—48no—
802#120—48no—
803#120—48no—
804#120—44no—
805#120—44no—
806#120—84no—
807#120—82no—
808#120—84no—
809C4×Q8—216no—
810C4×Q8—42no—
811C4×Q8—44no—
812C4×D4—24no—
813C4×D4—216no—
814C4×D4—216no—
815C4×D4—216no—
816C4×D4—216no—
817C4×D4—216no—
818C4×D4—216no—
819C4×D4—216no—
820C4×D4—216no—
821C4×D4—216no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—44no—
825C4×D4—42no—
826C4×D4—48no—
827C4×D4—84no—
828C4×D4—84no—
829C4×D4—84no—
830C4×D4—84no—
831#117—216no—
832#117—28no—
833#117—216no—
834#117—216no—
835C2×C4⋊C4—216no—
836C2×C4⋊C4—216no—
837C2×C4⋊C4—44no—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C22⋊C4—28no—
875C2×C22⋊C4—216no—
876C2×C22⋊C4—28no—
877C2×C22⋊C4—216no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2414yes—
946C2×C42C2411yescharacteristic
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2414yes—
953C2×C42C2412yes—
954C2×C42C2411yescharacteristic
955C2×C42C2411yescharacteristic
956C2×C42C2412yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2412yes—
985C24—24no—
986C24—24no—
987C24—24no—
988C24—24no—
989C24—24no—
990C24—42no—
991C24—44no—
992C24—42no—
993C24—42no—
994C24—44no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—44no—
999C24—42no—
1000C24C2514yes—
1001C24C2512yes—
1002C24C2512yes—
1003C24C2514yes—
1004C24C2512yes—
1005C24C2512yes—
1006#41—832no—
1007#41—816no—
1008C2×Q8—28no—
1009C2×Q8—41no—
1010C2×Q8—42no—
1011C2×Q8—42no—
1012C2×Q8—41no—
1013C2×Q8—44no—
1014C2×Q8—44no—
1015C2×Q8C22×D418yes—
1016C2×Q8C22×D414yes—
1017C2×D4—24no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—24no—
1024C2×D4—24no—
1025C2×D4—28no—
1026C2×D4—24no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—24no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—24no—
1040C2×D4—24no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—41no—
1044C2×D4—44no—
1045C2×D4—42no—
1046C2×D4—41no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—42no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—42no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—42no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—44no—
1089C2×D4—42no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—42no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—816no—
1110C2×D4—816no—
1111C2×D4—816no—
1112C2×D4—816no—
1113C2×D4C22×D414yes—
1114C2×D4H(5,𝔽2)14yes—
1115C22×C4—24no—
1116C22×C4—28no—
1117C22×C4—24no—
1118C22×C4—28no—
1119C22×C4—24no—
1120C22×C4—28no—
1121C22×C4—28no—
1122C22×C4—28no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—24no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—42no—
1154C22×C4—816no—
1155C22×C4C22×D418yes—
1156C22×C4C2511yescharacteristic
1157C22×C4C2512yes—
1158C22×C4C2514yes—
1159C22×C4C2514yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2514yes—
1163C22×C4C2514yes—
1164C22×C4C2514yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2511yescharacteristic
1168C22×C4C2514yes—
1169C22×C4C2512yes—
1170C22×C4C2514yes—
1171C22×C4C2511yescharacteristic
1172C22×C4C2512yes—
1173C4⋊C4—28no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—28no—
1177C4⋊C4—28no—
1178C4⋊C4—28no—
1179C4⋊C4—28no—
1180C4⋊C4—28no—
1181C4⋊C4—28no—
1182C4⋊C4—28no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—22no—
1186C4⋊C4—24no—
1187C4⋊C4—28no—
1188C4⋊C4—44no—
1189C4⋊C4—42no—
1190C4⋊C4—41no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—41no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4C22×D4116yes—
1205C4⋊C4C22×D4116yes—
1206C4⋊C4C22×D4116yes—
1207C4⋊C4C22×D418yes—
1208C4⋊C4C22×D418yes—
1209C22⋊C4—28no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—28no—
1213C22⋊C4—24no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—42no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—42no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4C22×D418yes—
1268C22⋊C4C22×D4116yes—
1269C22⋊C4C22×D4116yes—
1270C42—28no—
1271C42—28no—
1272C42—24no—
1273C42—28no—
1274C42—22no—
1275C42—24no—
1276C42—24no—
1277C42—44no—
1278C42—42no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C42—41no—
1283C42—42no—
1284C42C22×D414yes—
1285C42C22×D418yes—
1286C23—22no—
1287C23—22no—
1288C23—24no—
1289C23—24no—
1290C23—22no—
1291C23—24no—
1292C23—24no—
1293C23—22no—
1294C23—22no—
1295C23—24no—
1296C23—22no—
1297C23—24no—
1298C23—24no—
1299C23—22no—
1300C23—24no—
1301C23—22no—
1302C23—24no—
1303C23—24no—
1304C23—24no—
1305C23—24no—
1306C23—24no—
1307C23—24no—
1308C23—24no—
1309C23—22no—
1310C23—24no—
1311C23—24no—
1312C23—24no—
1313C23—24no—
1314C23—24no—
1315C23—24no—
1316C23—24no—
1317C23—22no—
1318C23—48no—
1319C23—48no—
1320C23—48no—
1321C23—88no—
1322C23—84no—
1323C23—84no—
1324C23—84no—
1325C23—88no—
1326C23—88no—
1327C23—84no—
1328C23—88no—
1329C23—84no—
1330C23—84no—
1331C23—164no—
1332C23—164no—
1333C23C23×D414yes—
1334C23C2×H(5,𝔽2)14yes—
1335C23C2611yescharacteristic
1336Q8—48no—
1337Q8—44no—
1338Q8—88no—
1339D4—44no—
1340D4—44no—
1341D4—416no—
1342D4—416no—
1343D4—48no—
1344D4—88no—
1345D4—88no—
1346D4—88no—
1347D4—88no—
1348D4—84no—
1349D4—88no—
1350D4—88no—
1351D4—84no—
1352D4—88no—
1353D4—84no—
1354D4—84no—
1355D4—88no—
1356D4—84no—
1357D4—88no—
1358D4—88no—
1359D4—88no—
1360D4—88no—
1361D4—84no—
1362D4—84no—
1363D4—84no—
1364D4—88no—
1365D4—84no—
1366D4—88no—
1367D4—88no—
1368D4—162no—
1369D4—161no—
1370D4—161no—
1371D4—164no—
1372D4—164no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—21no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—21no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—48no—
1414C2×C4—416no—
1415C2×C4—48no—
1416C2×C4—88no—
1417C2×C4—88no—
1418C2×C4—88no—
1419C2×C4—88no—
1420C2×C4—88no—
1421C2×C4—84no—
1422C2×C4—88no—
1423C2×C4—88no—
1424C2×C4—88no—
1425C2×C4—84no—
1426C2×C4—84no—
1427C2×C4C23×D414yes—
1428C2×C4C23×D412yes—
1429C2×C4C23×D418yes—
1430C2×C4C23×D418yes—
1431C2×C4C23×D414yes—
1432C2×C4C2×H(5,𝔽2)12yes—
1433C2×C4#58514yes—
1434C22—24no—
1435C22—24no—
1436C22—28no—
1437C22—24no—
1438C22—24no—
1439C22—44no—
1440C22—42no—
1441C22—42no—
1442C22—44no—
1443C22—44no—
1444C22—44no—
1445C22—42no—
1446C22—44no—
1447C22—42no—
1448C22—44no—
1449C22—44no—
1450C22—44no—
1451C22—44no—
1452C22—44no—
1453C22—44no—
1454C22—44no—
1455C22—44no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—44no—
1462C22—44no—
1463C22—44no—
1464C22—44no—
1465C22—44no—
1466C22—44no—
1467C22—44no—
1468C22—816no—
1469C22—168no—
1470C22—168no—
1471C22C24×D411yescharacteristic
1472C22C22×H(5,𝔽2)11yescharacteristic
1473C22C2×#58512yes—
1474C22H(7,𝔽2)11yescharacteristic
1475C22H(7,𝔽2)12yes—
1476C4—28no—
1477C4—22no—
1478C4—24no—
1479C4—28no—
1480C4—24no—
1481C4—22no—
1482C4—24no—
1483C4—44no—
1484C4—42no—
1485C4—44no—
1486C4—44no—
1487C4—44no—
1488C4—42no—
1489C4—41no—
1490C4—42no—
1491C4—44no—
1492C4—44no—
1493C2—44no—
1494C2—44no—
1495C2—84no—
1496C2—82no—
1497C2—84no—
1498C2—82no—
1499C2#6286211yescharacteristic
1500C2#6287012yes—
1501C2D4×H(5,𝔽2)11yescharacteristic
1502C2#6300312yes—
1503C2#6302111yescharacteristic
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×#3533C2semidirect
2. #59836C2semidirect
3. #59835C2semidirect
4. #59189C2semidirect
5. #59003C2semidirect
6. #51897C2semidirect
7. #51895C2semidirect
8. #50684C2semidirect
9. #50646C2semidirect
10. #47944C2semidirect
11. #47863C2semidirect
12. #47801C2semidirect
13. #47683C2semidirect
14. #45387C2semidirect
15. #44882C2semidirect
16. #44184C2semidirect
17. #44165C2semidirect
18. #44138C2semidirect
19. #39386C2semidirect
20. #39361C2semidirect
21. #37801C2semidirect
22. #37646C2semidirect
23. #34523C2semidirect
26. C2×#562C22semidirect
29. C2×#553C22semidirect
30. C2×#552C22semidirect
32. C2×#551C22semidirect
34. C2×#550C22semidirect
35. C2×#547C22semidirect
36. C2×#546C22semidirect
38. C2×#542C22semidirect
39. C2×#540C22semidirect
40. C2×#539C22semidirect
41. C2×#538C22semidirect
42. C2×#538C22semidirect
45. C2×#525C22semidirect
47. C22×#121C22semidirect
48. #2867C22semidirect
49. #2849C22semidirect
50. #2819C22semidirect
51. #2733C22semidirect
52. #2732C22semidirect
53. #2732C22semidirect
54. #2730C22semidirect
55. #2730C22semidirect
56. #2728C22semidirect
57. #2727C22semidirect
58. #2726C22semidirect
60. #2723C22semidirect
61. #2714C22semidirect
62. #2714C22semidirect
63. #2711C22semidirect
64. #2711C22semidirect
65. #2710C22semidirect
67. #2707C22semidirect
68. #2705C22semidirect
69. #2705C22semidirect
70. #2696C22semidirect
71. #2691C22semidirect
72. #2685C22semidirect
73. #2683C22semidirect
75. #2682C22semidirect
76. #2682C22semidirect
77. #2681C22semidirect
80. #2678C22semidirect
81. #2678C22semidirect
82. #2676C22semidirect
83. #2676C22semidirect
84. #2676C22semidirect
85. #2673C22semidirect
86. #2673C22semidirect
87. #2673C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2672C22semidirect
95. #2671C22semidirect
96. #2670C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2661C22semidirect
103. #2635C22semidirect
104. #2619C22semidirect
105. #2619C22semidirect
106. #2618C22semidirect
107. #2613C22semidirect
108. #2610C22semidirect
109. #2609C22semidirect
110. #2609C22semidirect
111. #2609C22semidirect
112. #2602C22semidirect
113. #2560C22semidirect
114. #2558C22semidirect
115. #2557C22semidirect
116. #2556C22semidirect
117. #2555C22semidirect
118. #2554C22semidirect
119. #2554C22semidirect
120. #2553C22semidirect
121. #2548C22semidirect
122. #2544C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
126. #2541C22semidirect
127. #2541C22semidirect
128. #2540C22semidirect
129. #2540C22semidirect
130. #2539C22semidirect
131. #2536C22semidirect
132. #2536C22semidirect
133. #2535C22semidirect
135. #2475C22semidirect
136. #2472C22semidirect
137. #2472C22semidirect
138. #2471C22semidirect
139. #2469C22semidirect
140. #2468C22semidirect
141. #2467C22semidirect
142. #2467C22semidirect
143. #2464C22semidirect
144. #2463C22semidirect
145. #2463C22semidirect
146. #2460C22semidirect
147. #2458C22semidirect
148. #2457C22semidirect
149. #2456C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2456C22semidirect
153. #2455C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2443C22semidirect
158. #2443C22semidirect
159. #2443C22semidirect
160. #2443C22semidirect
162. #2433C22semidirect
163. #2433C22semidirect
164. #2433C22semidirect
165. #2431C22semidirect
166. #2431C22semidirect
167. #2428C22semidirect
168. #2428C22semidirect
169. #2428C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2426C22semidirect
173. #2426C22semidirect
175. #2424C22semidirect
176. #2424C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2418C22semidirect
180. #2417C22semidirect
181. #2416C22semidirect
182. #2416C22semidirect
183. #2414C22semidirect
184. #2412C22semidirect
186. #2410C22semidirect
187. #2410C22semidirect
188. #2407C22semidirect
189. #2407C22semidirect
190. #2407C22semidirect
193. #2397C22semidirect
194. #2392C22semidirect
195. #2382C22semidirect
198. #2373C22semidirect
199. #2369C22semidirect
200. #2366C22semidirect
201. #2366C22semidirect
202. #2363C22semidirect
203. #2361C22semidirect
204. #2360C22semidirect
205. #2360C22semidirect
206. #2358C22semidirect
207. #2358C22semidirect
208. D4×C22⋊C4C22semidirect
209. #2334C22semidirect
210. #2332C22semidirect
211. #2328C22semidirect
212. #2327C22semidirect
213. #2324C22semidirect
215. C4×#125C22semidirect
217. C4×#120C22semidirect
218. #2293C22semidirect
219. #2293C22semidirect
227. #563D4semidirect
711. C4⋊Q8C2×D4semidirect
728. #126C2×D4semidirect
731. #125C2×D4semidirect
765. C22⋊Q8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35332
#598362
#598352
#591892
#590032
#518972
#518952
#506842
#506462
#479442
#478632
#478012
#476832
#453872
#448822
#441842
#441652
#441382
#393862
#393612
#378012
#376462
#345232