Finite Group Databasebeta

← #7715256

Subgroups — #7715256

Order 512.

6392 conjugacy classes of subgroups.

The subgroup lattice has 1529 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3557C211yesmaximal, characteristic, complemented
2C2×#3458C211yesmaximal, characteristic, complemented
3#52015C214yesmaximal, complemented
4#52014C214yesmaximal, complemented
5#51533C214yesmaximal, complemented
6#51532C214yesmaximal, complemented
7#47454C214yesmaximal, complemented
8#46831C214yesmaximal, complemented
9#46383C214yesmaximal, complemented
10#46373C214yesmaximal, complemented
11#39727C212yesmaximal, complemented
12#39726C212yesmaximal, complemented
13#39719C212yesmaximal, complemented
14#39718C212yesmaximal, complemented
15#39599C212yesmaximal, complemented
16#39598C212yesmaximal, complemented
17#39591C212yesmaximal, complemented
18#39590C212yesmaximal, complemented
19#37622C212yesmaximal, complemented
20#37377C211yesmaximal, characteristic, complemented
21#37275C212yesmaximal, complemented
22#37274C211yesmaximal, characteristic, complemented
23#35310C211yesmaximal, characteristic, complemented
24#35302C212yesmaximal, complemented
25#35261C211yesmaximal, characteristic
26#35260C212yesmaximal, complemented
27#34374C211yesmaximal, characteristic, complemented
28#3557—216no—
29C2×#563C2214yescomplemented
30C2×#559C2212yescomplemented
31C2×#557C2212yescomplemented
32C2×#556C2212yescomplemented
33C2×#554C2212yescomplemented
34C2×#552C2214yescomplemented
35#3458—216no—
36C2×#544C2212yes—
37C2×#544C2212yes—
38C2×#544C2212yes—
39C2×#544C2212yes—
40C2×#544C2212yes—
41C2×#544C2212yes—
42C2×#543C2212yes—
43C2×#543C2212yes—
44C2×#542C2214yes—
45C2×#542C2212yes—
46C2×#541C2211yescharacteristic
47C2×#540C2211yescharacteristic
48C2×#539C2214yes—
49C2×#533C2211yescharacteristic
50C2×#533C2212yes—
51C2×#533C2212yes—
52C2×#533C2212yes—
53C2×#533C2212yes—
54C2×#533C2211yescharacteristic
55C2×#533C2211yescharacteristic
56C2×#533C2211yescharacteristic
57C2×#529C2212yes—
58C22×#117C2211yescharacteristic
59C22×#117C2211yescharacteristic
60C22×#117C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2212yes—
63#2856C2211yescharacteristic
64#2855C2212yes—
65#2854C2212yes—
66#2851C2211yescharacteristic
67#2851C2211yescharacteristic
68#2850C2212yes—
69#2848C2212yes—
70#2847C2212yes—
71#2814C2214yes—
72#2814C2214yes—
73#2734C2214yescomplemented
74#2732C2214yes—
75#2731C2214yescomplemented
76#2730C2214yes—
77#2729C2214yes—
78#2729C2214yescomplemented
79#2729C2214yescomplemented
80#2728C2214yes—
81#2726C2214yescomplemented
82#2726C2214yescomplemented
83#2725C2214yescomplemented
84#2725C2214yescomplemented
85#2723C2214yes—
86#2721C2214yescomplemented
87#2720C2214yes—
88#2719C2214yescomplemented
89#2716C2214yescomplemented
90#2716C2214yescomplemented
91#2713C2214yescomplemented
92#2713C2214yescomplemented
93#2707C2214yescomplemented
94#2707C2214yescomplemented
95#2704C2214yes—
96#2704C2214yes—
97#2704C2214yescomplemented
98#2704C2214yescomplemented
99#2702C2214yes—
100#2702C2214yes—
101#2700C2214yes—
102#2698C2214yes—
103#2696C2214yes—
104#2694C2214yescomplemented
105#2692C2214yes—
106#2690C2214yescomplemented
107#2689C2214yes—
108#2687C2214yes—
109#2683C2214yes—
110#2683C2214yes—
111#2681C2214yes—
112#2681C2214yes—
113#2681C2214yes—
114#2680C2214yes—
115#2677C2214yescomplemented
116#2677C2214yescomplemented
117#2674C2214yes—
118#2674C2214yescomplemented
119#2674C2214yescomplemented
120#2672C2214yes—
121#2664C2214yescomplemented
122#2664C2214yescomplemented
123#2629C2212yes—
124#2629C2211yescharacteristic
125#2629C2212yes—
126#2629C2211yescharacteristic
127#2628C2212yes—
128#2628C2214yescomplemented
129#2625C2212yes—
130#2625C2212yes—
131#2624C2212yes—
132#2624C2212yes—
133#2621C2211yescharacteristic
134#2621C2214yescomplemented
135#2620C2212yes—
136#2620C2212yes—
137#2620C2212yes—
138#2619C2211yescharacteristic
139#2609C2214yes—
140#2609C2214yes—
141#2601C2214yes—
142#2601C2214yes—
143#2592C2212yescomplemented
144#2592C2212yescomplemented
145#2592C2212yescomplemented
146#2592C2212yescomplemented
147#2584C2212yescomplemented
148#2584C2212yescomplemented
149#2584C2212yescomplemented
150#2584C2212yescomplemented
151#2582C2212yescomplemented
152#2582C2212yescomplemented
153#2582C2212yescomplemented
154#2582C2212yescomplemented
155#2581C2212yescomplemented
156#2581C2212yescomplemented
157#2580C2212yescomplemented
158#2580C2212yescomplemented
159#2579C2214yes—
160#2568C2212yescomplemented
161#2567C2212yescomplemented
162#2560C2214yes—
163#2558C2214yescomplemented
164#2556C2214yes—
165#2556C2214yescomplemented
166#2548C2212yescomplemented
167#2546C2214yescomplemented
168#2546C2212yescomplemented
169#2545C2214yescomplemented
170#2538C2214yes—
171#2538C2212yescomplemented
172#2538C2212yescomplemented
173#2538C2212yescomplemented
174#2538C2212yescomplemented
175#2536C2214yes—
176#2534C2214yes—
177#2519C2214yescomplemented
178#2506C2214yescomplemented
179#2481C2214yes—
180#2480C2214yes—
181#2479C2214yes—
182#2478C2214yes—
183#2477C2214yes—
184#2477C2214yes—
185#2476C2214yes—
186#2475C2214yes—
187#2475C2214yescomplemented
188#2474C2214yes—
189#2473C2214yes—
190#2473C2214yescomplemented
191#2472C2214yes—
192#2471C2214yes—
193#2470C2214yes—
194#2465C2214yes—
195#2463C2214yes—
196#2462C2214yescomplemented
197#2461C2214yes—
198#2460C2214yescomplemented
199#2452C2214yes—
200#2452C2214yescomplemented
201#2451C2214yescomplemented
202#2449C2214yes—
203#2449C2214yes—
204#2443C2214yes—
205#2440C2214yescomplemented
206#2439C2214yescomplemented
207#2429C2214yes—
208#2429C2214yes—
209#2429C2214yescomplemented
210#2429C2214yescomplemented
211#2427C2214yes—
212#2426C2214yes—
213#2424C2214yes—
214#2418C2214yes—
215#2417C2214yes—
216#2415C2214yes—
217#2415C2214yes—
218#2415C2214yes—
219#2413C2214yes—
220#2411C2214yes—
221#2382C2214yescomplemented
222#2365C2214yescomplemented
223#2355C2212yescomplemented
224#2355C2212yescomplemented
225Q8×C4⋊C4C2212yescomplemented
226Q8×C4⋊C4C2212yescomplemented
227#2324C2212yes—
228#2324C2212yes—
229#2324C2212yes—
230#2324C2212yes—
231#2323C2214yes—
232#2323C2212yes—
233#2323C2212yes—
234#2323C2212yes—
235#2323C2212yes—
236#2323C2214yes—
237#2314C2211yescharacteristic
238#2314C2211yescharacteristic
239#2314C2212yes—
240C4×C22⋊Q8C2212yes—
241C4×C22⋊Q8C2212yes—
242C4×#121C2212yes—
243C4×#121C2212yes—
244#2285C2212yes—
245C24×C4C2311yescharacteristic
246#563—232no—
247#559—216no—
248#557—216no—
249#556—216no—
250#554—216no—
251#552—232no—
252#544—216no—
253#544—216no—
254#544—216no—
255#544—216no—
256#544—216no—
257#544—216no—
258#543—216no—
259#543—216no—
260#542—232no—
261#542—216no—
262#541—28no—
263#540—28no—
264#539—232no—
265#533—216no—
266#533—216no—
267#533—216no—
268#533—216no—
269#533—28no—
270#533—28no—
271#533—28no—
272#533D4116yescomplemented
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2314yes—
287C2×C4⋊Q8C2314yes—
288C2×C4⋊Q8C2312yes—
289C2×#127C2311yescharacteristic
290#529—216no—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#125C2311yescharacteristic
297C2×#125C2311yescharacteristic
298C2×#125C2312yes—
299C2×#125C2312yes—
300C2×#125C2312yes—
301C2×#125C2312yes—
302C2×#125C2312yes—
303C2×#125C2312yes—
304C2×#125C2312yes—
305C2×#125C2312yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#124C2314yes—
318C2×#124C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#120C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2314yes—
378C2×C4×Q8C2314yes—
379C2×C4×Q8C2314yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×#117—28no—
390C2×#117—28no—
391C2×#117—28no—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2314yes—
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2314yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#392C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#384C2314yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#382C2314yes—
673#382C2311yescharacteristic
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2314yes—
677#381C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#379C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C25C2411yescharacteristic
708C22×Q8C2412yes—
709C22×Q8C2412yes—
710C22×Q8C2412yes—
711C22×Q8C2412yes—
712C22×Q8C2412yes—
713C22×Q8C2414yes—
714C22×Q8C2412yes—
715C22×Q8C2412yes—
716C22×Q8C2412yes—
717C22×Q8C2412yes—
718C22×D4C2412yes—
719C22×D4C2414yes—
720C22×D4C2414yes—
721C22×D4C2414yes—
722C22×D4C2414yes—
723C23×C4—24no—
724C23×C4—24no—
725C23×C4—24no—
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2412yes—
733C23×C4C2412yes—
734C23×C4C2412yes—
735C23×C4C2412yes—
736C23×C4C2412yes—
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2412yes—
741C4⋊Q8—28no—
742C4⋊Q8—28no—
743C4⋊Q8—28no—
744C4⋊Q8—28no—
745C4⋊Q8—216no—
746C4⋊Q8—28no—
747C4⋊Q8—28no—
748C4⋊Q8—28no—
749C4⋊Q8—28no—
750C4⋊Q8—28no—
751C4⋊Q8—28no—
752C4⋊Q8—28no—
753C4⋊Q8—24no—
754C4⋊Q8—28no—
755C4⋊Q8—84no—
756C4⋊Q8C2×D4116yes—
757#127—24no—
758#126—216no—
759#126—216no—
760#126—216no—
761#126—216no—
762#126—216no—
763#125—28no—
764#125—28no—
765#125—28no—
766#125—28no—
767#125—28no—
768#125—28no—
769#125—28no—
770#125—28no—
771#125—28no—
772#125—28no—
773#125—216no—
774#125—216no—
775#125—216no—
776#125—28no—
777#125—28no—
778#125—24no—
779#125—24no—
780#125C2×D4116yes—
781#124—216no—
782#124—216no—
783#124—28no—
784#124—28no—
785#124—84no—
786#123—216no—
787#123—216no—
788#123—216no—
789#123—216no—
790#123—216no—
791#123—84no—
792C22⋊Q8—28no—
793C22⋊Q8—28no—
794C22⋊Q8—28no—
795C22⋊Q8—28no—
796C22⋊Q8—216no—
797C22⋊Q8—216no—
798C22⋊Q8—28no—
799C22⋊Q8—28no—
800C22⋊Q8—28no—
801C22⋊Q8—28no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—28no—
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—28no—
814C22⋊Q8—28no—
815C22⋊Q8—216no—
816C22⋊Q8—216no—
817C22⋊Q8—216no—
818C22⋊Q8—28no—
819C22⋊Q8—28no—
820C22⋊Q8—28no—
821C22⋊Q8—28no—
822C22⋊Q8—84no—
823C22⋊Q8—84no—
824C22⋊Q8—84no—
825C22⋊Q8—84no—
826C22⋊Q8—84no—
827C22⋊Q8C2×D4116yes—
828C22⋊Q8C2×D4116yes—
829#121—28no—
830#121—28no—
831#121—28no—
832#121—216no—
833#121—84no—
834#120—84no—
835C4×Q8—216no—
836C4×Q8—28no—
837C4×Q8—28no—
838C4×Q8—28no—
839C4×Q8—28no—
840C4×Q8—28no—
841C4×Q8—28no—
842C4×Q8—28no—
843C4×Q8—28no—
844C4×Q8—28no—
845C4×Q8—84no—
846C4×Q8—84no—
847C4×Q8C2×D4116yes—
848C4×Q8C2×D4116yes—
849C4×D4—216no—
850C4×D4—216no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—84no—
855C4×D4—84no—
856#117—24no—
857#117—24no—
858#117—28no—
859#117—28no—
860#117—216no—
861#117—28no—
862#117—24no—
863#117—24no—
864#117—24no—
865#117—28no—
866#117—24no—
867#117—28no—
868#117—28no—
869#117—24no—
870#117—24no—
871#117—24no—
872#117—24no—
873#117—216no—
874#117—84no—
875#117C2×D418yes—
876#117C2×D418yes—
877C2×C4⋊C4—28no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4—28no—
880C2×C4⋊C4—216no—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C22⋊C4—28no—
956C2×C22⋊C4—28no—
957C2×C22⋊C4—24no—
958C2×C22⋊C4—24no—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—28no—
1007C2×C42—24no—
1008C2×C42C2×D418yes—
1009C2×C42C2414yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—42no—
1078C24—42no—
1079C24C2514yes—
1080C24C2511yescharacteristic
1081C24C2511yescharacteristic
1082C24C2511yescharacteristic
1083C2×Q8—24no—
1084C2×Q8—28no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—44no—
1102C2×Q8—42no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8—42no—
1109C2×Q8—42no—
1110C2×Q8—44no—
1111C2×Q8C22×D418yes—
1112C2×Q8C22×D418yes—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C22×C4—232no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—44no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4C22×D414yes—
1171C22×C4C22×D418yes—
1172C22×C42−1+414yes—
1173C22×C42−1+414yes—
1174C22×C4C2514yes—
1175C22×C4C2514yes—
1176C22×C4C2514yes—
1177C22×C4C2514yes—
1178C22×C4C2514yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4C22×D418yes—
1264C4⋊C4C22×D418yes—
1265C4⋊C4C22×D418yes—
1266C4⋊C4C22×D418yes—
1267C4⋊C4C22×D418yes—
1268C4⋊C4C22×D418yes—
1269C4⋊C4C22×D418yes—
1270C4⋊C4C22×D418yes—
1271C22⋊C4—24no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4C22×D418yes—
1314C22⋊C4C22×D414yes—
1315C22⋊C4C22×D414yes—
1316C42—24no—
1317C42—22no—
1318C42—24no—
1319C42—22no—
1320C42—24no—
1321C42—24no—
1322C42—24no—
1323C42—24no—
1324C42—22no—
1325C42—22no—
1326C42—28no—
1327C42—28no—
1328C42—28no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42C22×D414yes—
1336C42C22×D418yes—
1337C42C22×D414yes—
1338C42C22×D414yes—
1339C42C22×D418yes—
1340C42C22×D414yes—
1341C23—28no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—24no—
1355C23—24no—
1356C23—24no—
1357C23—24no—
1358C23—24no—
1359C23—24no—
1360C23—24no—
1361C23—84no—
1362C23—84no—
1363C23—82no—
1364C23—82no—
1365C23C23×D412yes—
1366C23C2×2−1+412yes—
1367C23C2×2−1+412yes—
1368C23C2611yescharacteristic
1369Q8—48no—
1370Q8—48no—
1371Q8—48no—
1372Q8—84no—
1373Q8—84no—
1374Q8—84no—
1375Q8—84no—
1376Q8—84no—
1377Q8—88no—
1378Q8—84no—
1379D4—48no—
1380D4—88no—
1381D4—88no—
1382D4—88no—
1383D4—88no—
1384C2×C4—28no—
1385C2×C4—28no—
1386C2×C4—28no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—28no—
1406C2×C4—28no—
1407C2×C4—28no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—48no—
1448C2×C4—88no—
1449C2×C4—88no—
1450C2×C4—88no—
1451C2×C4—84no—
1452C2×C4—84no—
1453C2×C4—84no—
1454C2×C4—84no—
1455C2×C4—84no—
1456C2×C4C23×D414yes—
1457C2×C4C23×D414yes—
1458C2×C4C23×D412yes—
1459C2×C4C23×D414yes—
1460C2×C4C23×D414yes—
1461C2×C4C23×D414yes—
1462C2×C4C23×D414yes—
1463C2×C4C23×D412yes—
1464C2×C4C2×2−1+412yes—
1465C2×C4C2×2−1+412yes—
1466C2×C4C2×2−1+412yes—
1467C2×C4C2×2−1+412yes—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—24no—
1472C22—24no—
1473C22—22no—
1474C22—22no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—44no—
1484C22—44no—
1485C22—44no—
1486C22—44no—
1487C22—44no—
1488C22—44no—
1489C22—44no—
1490C22—88no—
1491C22C24×D411yescharacteristic
1492C22C22×2−1+411yescharacteristic
1493C22C22×2−1+411yescharacteristic
1494C22H(7,𝔽2)12yes—
1495C222−1+612yes—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—24no—
1501C4—24no—
1502C4—24no—
1503C4—24no—
1504C4—24no—
1505C4—44no—
1506C4—44no—
1507C4—44no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—44no—
1515C4—44no—
1516C4—44no—
1517C4—44no—
1518C4#348614yes—
1519C2—42no—
1520C2—42no—
1521C2—42no—
1522C2—84no—
1523C2C2×#348611yescharacteristic
1524C2#6285312yes—
1525C2#6287912yes—
1526C2#6288111yescharacteristic
1527C2#6288911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35261C2
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×#3557C2semidirect
2. C2×#3458C2semidirect
3. #52015C2semidirect
4. #52014C2semidirect
5. #51533C2semidirect
6. #51532C2semidirect
7. #47454C2semidirect
8. #46831C2semidirect
9. #46383C2semidirect
10. #46373C2semidirect
11. #39727C2semidirect
12. #39726C2semidirect
13. #39719C2semidirect
14. #39718C2semidirect
15. #39599C2semidirect
16. #39598C2semidirect
17. #39591C2semidirect
18. #39590C2semidirect
19. #37622C2semidirect
20. #37377C2semidirect
21. #37275C2semidirect
22. #37274C2semidirect
23. #35310C2semidirect
24. #35302C2semidirect
26. #35260C2semidirect
27. #34374C2semidirect
29. C2×#563C22semidirect
30. C2×#559C22semidirect
31. C2×#557C22semidirect
32. C2×#556C22semidirect
33. C2×#554C22semidirect
34. C2×#552C22semidirect
73. #2734C22semidirect
75. #2731C22semidirect
78. #2729C22semidirect
79. #2729C22semidirect
81. #2726C22semidirect
82. #2726C22semidirect
83. #2725C22semidirect
84. #2725C22semidirect
86. #2721C22semidirect
88. #2719C22semidirect
89. #2716C22semidirect
90. #2716C22semidirect
91. #2713C22semidirect
92. #2713C22semidirect
93. #2707C22semidirect
94. #2707C22semidirect
97. #2704C22semidirect
98. #2704C22semidirect
104. #2694C22semidirect
106. #2690C22semidirect
115. #2677C22semidirect
116. #2677C22semidirect
118. #2674C22semidirect
119. #2674C22semidirect
121. #2664C22semidirect
122. #2664C22semidirect
128. #2628C22semidirect
134. #2621C22semidirect
143. #2592C22semidirect
144. #2592C22semidirect
145. #2592C22semidirect
146. #2592C22semidirect
147. #2584C22semidirect
148. #2584C22semidirect
149. #2584C22semidirect
150. #2584C22semidirect
151. #2582C22semidirect
152. #2582C22semidirect
153. #2582C22semidirect
154. #2582C22semidirect
155. #2581C22semidirect
156. #2581C22semidirect
157. #2580C22semidirect
158. #2580C22semidirect
160. #2568C22semidirect
161. #2567C22semidirect
163. #2558C22semidirect
165. #2556C22semidirect
166. #2548C22semidirect
167. #2546C22semidirect
168. #2546C22semidirect
169. #2545C22semidirect
171. #2538C22semidirect
172. #2538C22semidirect
173. #2538C22semidirect
174. #2538C22semidirect
177. #2519C22semidirect
178. #2506C22semidirect
187. #2475C22semidirect
190. #2473C22semidirect
196. #2462C22semidirect
198. #2460C22semidirect
200. #2452C22semidirect
201. #2451C22semidirect
205. #2440C22semidirect
206. #2439C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
221. #2382C22semidirect
222. #2365C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. Q8×C4⋊C4C22semidirect
226. Q8×C4⋊C4C22semidirect
272. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35572
C2×#34582
#520152
#520142
#515332
#515322
#474542
#468312
#463832
#463732
#397272
#397262
#397192
#397182
#395992
#395982
#395912
#395902
#376222
#373772
#372752
#372742
#353102
#353022
#352612
#352602
#343742