Finite Group Databasebeta

← #7660804

Subgroups — #7660804

Order 512.

6614 conjugacy classes of subgroups.

The subgroup lattice has 1593 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3516C212yesmaximal, complemented
2#52169C211yesmaximal, characteristic, complemented
3#52160C212yesmaximal, complemented
4#42879C212yesmaximal, complemented
5#42806C212yesmaximal, complemented
6#42800C212yesmaximal, complemented
7#41988C214yesmaximal, complemented
8#41959C214yesmaximal, complemented
9#41948C214yesmaximal, complemented
10#39858C212yesmaximal, complemented
11#39850C214yesmaximal, complemented
12#39743C211yesmaximal, characteristic, complemented
13#39615C211yesmaximal, characteristic, complemented
14#39611C212yesmaximal, complemented
15#39139C212yesmaximal, complemented
16#38435C212yesmaximal, complemented
17#38380C214yesmaximal, complemented
18#37299C211yesmaximal, characteristic, complemented
19#37277C212yesmaximal, complemented
20#37191C212yesmaximal, complemented
21#37188C214yesmaximal, complemented
22#36544C212yesmaximal, complemented
23#36472C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36233C212yesmaximal, complemented
26#35787C212yesmaximal, complemented
27#35736C212yesmaximal, complemented
28#35701C212yesmaximal, complemented
29#34254C211yesmaximal, characteristic, complemented
30#3516—232no—
31C2×#557C2212yes—
32C2×#556C2214yes—
33C2×#556C2212yes—
34C2×#554C2214yes—
35C2×#554C2212yes—
36C2×#553C2212yes—
37C2×#553C2214yes—
38C2×#552C2212yes—
39C2×#552C2214yes—
40C2×D4×Q8C2212yes—
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#542C2212yes—
44C2×#542C2214yes—
45C2×#541C2212yes—
46C2×#541C2214yes—
47C2×#529C2214yes—
48C2×#529C2212yes—
49C2×#529C2214yes—
50C2×#529C2212yes—
51C2×#520C2212yes—
52C2×#519C2211yescharacteristic
53C22×C4×Q8C2212yes—
54#2860C2212yes—
55#2859C2212yes—
56#2857C2212yes—
57#2857C2211yescharacteristic
58#2856C2211yescharacteristic
59#2852C2214yes—
60#2851C2214yes—
61#2850C2212yes—
62#2821C2214yes—
63#2820C2214yes—
64#2816C2214yes—
65#2734C2212yes—
66#2733C2212yes—
67#2732C2214yes—
68#2732C2212yes—
69#2732C2212yes—
70#2731C2214yes—
71#2730C2214yes—
72#2730C2214yes—
73#2729C2214yes—
74#2729C2214yes—
75#2727C2211yescharacteristic
76#2727C2212yes—
77#2727C2212yes—
78#2726C2211yescharacteristic
79#2725C2214yes—
80#2723C2214yes—
81#2723C2214yes—
82#2721C2214yes—
83#2721C2214yes—
84#2721C2214yes—
85#2721C2214yes—
86#2720C2214yes—
87#2719C2214yes—
88#2719C2214yes—
89#2715C2214yes—
90#2715C2212yes—
91#2714C2214yes—
92#2714C2214yes—
93#2711C2214yes—
94#2707C2212yes—
95#2705C2214yes—
96#2702C2212yes—
97#2702C2214yes—
98#2696C2214yes—
99#2695C2212yes—
100#2694C2214yes—
101#2694C2214yes—
102#2693C2214yes—
103#2683C2212yes—
104#2683C2214yes—
105#2683C2212yes—
106#2683C2211yescharacteristic
107#2682C2211yescharacteristic
108#2676C2214yes—
109#2676C2212yes—
110#2673C2214yes—
111#2672C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2671C2212yes—
115#2664C2214yes—
116#2662C2214yes—
117#2660C2214yes—
118#2659C2212yes—
119#2656C2212yes—
120#2638C2214yes—
121#2636C2214yes—
122#2636C2214yes—
123#2635C2214yes—
124#2634C2214yes—
125#2633C2214yes—
126#2631C2214yes—
127#2628C2212yes—
128#2621C2214yes—
129#2620C2212yes—
130#2620C2212yes—
131#2611C2214yes—
132#2611C2214yes—
133#2610C2214yes—
134#2609C2214yes—
135#2604C2214yes—
136#2604C2214yes—
137#2603C2214yes—
138#2601C2214yes—
139#2601C2214yes—
140#2600C2214yes—
141#2599C2214yes—
142#2598C2214yes—
143#2598C2214yes—
144#2584C2214yes—
145#2581C2212yes—
146#2580C2214yes—
147#2567C2212yes—
148#2566C2214yes—
149#2566C2214yes—
150#2564C2214yes—
151#2559C2214yes—
152#2553C2214yes—
153#2553C2214yes—
154#2552C2211yescharacteristic
155#2552C2212yes—
156#2552C2211yescharacteristic
157#2545C2212yes—
158#2544C2212yes—
159#2543C2214yes—
160#2542C2211yescharacteristic
161#2542C2212yes—
162#2542C2214yes—
163#2541C2211yescharacteristic
164#2540C2212yes—
165#2538C2212yes—
166#2538C2212yes—
167#2536C2214yes—
168#2535C2212yes—
169#2496C2212yes—
170#2490C2212yes—
171#2490C2212yes—
172#2489C2212yes—
173#2489C2212yes—
174#2481C2214yes—
175#2481C2214yes—
176#2469C2214yes—
177#2467C2214yes—
178#2465C2214yes—
179#2465C2214yes—
180#2465C2214yes—
181#2464C2214yes—
182#2464C2214yes—
183#2463C2214yes—
184#2463C2214yes—
185#2463C2214yes—
186#2449C2214yes—
187#2449C2214yes—
188#2449C2214yes—
189#2449C2214yes—
190#2449C2214yes—
191#2449C2214yes—
192#2448C2212yes—
193#2448C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2436C2212yes—
197#2434C2212yes—
198#2432C2212yes—
199#2431C2212yes—
200#2428C2212yes—
201#2423C2212yes—
202#2423C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2422C2212yes—
206#2422C2214yes—
207#2422C2212yes—
208#2417C2212yes—
209#2416C2212yes—
210#2415C2212yes—
211#2414C2212yes—
212#2409C2212yes—
213#2409C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2397C2214yes—
217#2396C2212yes—
218#2392C2214yes—
219#2392C2212yes—
220#2392C2212yes—
221#2392C2214yes—
222#2367C2212yes—
223#2366C2211yescharacteristic
224#2365C2211yescharacteristic
225#2361C2212yes—
226#2361C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2356C2212yes—
230#2356C2212yes—
231#2355C2212yes—
232#2355C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2211yescharacteristic
236#2343C2214yes—
237#2343C2214yes—
238#2328C2214yes—
239#2325C2212yes—
240#2325C2212yes—
241#2323C2214yes—
242#2320C2212yes—
243#2320C2212yes—
244#2317C2211yescharacteristic
245#2310C2211yescharacteristic
246C4×#127C2212yes—
247C4×C22⋊Q8C2212yes—
248C4×#121C2211yescharacteristic
249C4×#121C2211yescharacteristic
250C4×#121C2214yes—
251C4×#121C2212yes—
252#2296C2211yescharacteristic
253#2295C2212yes—
254#2295C2212yes—
255C2×#391C2211yescharacteristic
256#2293C2212yes—
257#2290C2214yes—
258#2274C2211yescharacteristic
259C4×#117C2211yescharacteristic
260C22×#41C2312yes—
261C23×Q8C2312yes—
262C23×Q8C2311yescharacteristic
263#557—216no—
264#556—216no—
265#556—232no—
266#554—216no—
267#554—232no—
268#553—232no—
269#553—216no—
270#552—232no—
271#552—216no—
272D4×Q8—216no—
273#548—216no—
274#548—216no—
275#542—216no—
276#542—232no—
277#541—232no—
278#541—216no—
279C2×C4⋊Q8C2314yes—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286#529—232no—
287#529—216no—
288#529—216no—
289#529—232no—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2312yes—
297C2×#126C2312yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#125C2314yes—
301C2×#125C2314yes—
302C2×#125C2314yes—
303C2×#125C2312yes—
304C2×#125C2314yes—
305C2×#125C2314yes—
306C2×#125C2312yes—
307C2×#125C2314yes—
308C2×#125C2312yes—
309C2×#124C2314yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2314yes—
313C2×#124C2312yes—
314C2×#124C2314yes—
315C2×#124C2312yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2314yes—
356#520—216no—
357#519D4116yescomplemented
358C2×C4×Q8—216no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2314yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×#117C2314yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2314yes—
402C2×#117C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2314yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2314yes—
410C22×C42C2311yescharacteristic
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#390C2311yescharacteristic
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
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#386C2312yes—
651#386C2314yes—
652#386C2312yes—
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#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2314yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2312yes—
683#383C2314yes—
684#383C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#381C2314yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2311yescharacteristic
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730#376C2312yes—
731#376C2314yes—
732#376C2314yes—
733C2×#95C2312yes—
734C2×#95C2312yes—
735C43C2312yes—
736C2×#41—28no—
737C2×#41—44no—
738C2×#41—44no—
739C22×Q8—28no—
740C22×Q8—42no—
741C22×Q8—42no—
742C22×Q8—44no—
743C22×Q8—44no—
744C22×Q8C2×D418yes—
745C22×Q8C2412yes—
746C22×Q8C2412yes—
747C22×Q8C2414yes—
748C22×Q8C2414yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2414yes—
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2412yes—
780C4⋊Q8—28no—
781C4⋊Q8—216no—
782C4⋊Q8—28no—
783C4⋊Q8—216no—
784C4⋊Q8—42no—
785#127—28no—
786#127—42no—
787#126—216no—
788#126—216no—
789#126—216no—
790#126—216no—
791#126—28no—
792#126—216no—
793#126—28no—
794#126—216no—
795#126—216no—
796#126—216no—
797#125—216no—
798#125—28no—
799#125—28no—
800#125—216no—
801#125—28no—
802#125—216no—
803#125—216no—
804#125—216no—
805#125—216no—
806#124—28no—
807#124—216no—
808#124—28no—
809#124—216no—
810#124—28no—
811#124—216no—
812#124—44no—
813#123—216no—
814#123—28no—
815#123—28no—
816#123—216no—
817#123—216no—
818#123—216no—
819C22⋊Q8—28no—
820C22⋊Q8—216no—
821C22⋊Q8—28no—
822C22⋊Q8—216no—
823C22⋊Q8—28no—
824C22⋊Q8—216no—
825C22⋊Q8—216no—
826C22⋊Q8—28no—
827C22⋊Q8—28no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—216no—
832C22⋊Q8—44no—
833C22⋊Q8—48no—
834C22⋊Q8—44no—
835C22⋊Q8—44no—
836C22⋊Q8—84no—
837C22⋊Q8—84no—
838C22⋊Q8—84no—
839#121—24no—
840#121—28no—
841#121—28no—
842#121—216no—
843#121—28no—
844#121—216no—
845#121—216no—
846#121—28no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—42no—
851#121—84no—
852#121—82no—
853C4×Q8—28no—
854C4×Q8—28no—
855C4×Q8—28no—
856C4×Q8—216no—
857C4×Q8—216no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—216no—
861C4×Q8C2×D4116yes—
862C4×Q8C2×D4116yes—
863C4×Q8C2×D4116yes—
864C4×Q8C2×D4116yes—
865C4×D4—28no—
866C4×D4—216no—
867C4×D4—28no—
868C4×D4—216no—
869C4×D4—28no—
870C4×D4—216no—
871C4×D4—216no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—216no—
875C4×D4—216no—
876C4×D4—216no—
877C4×D4—216no—
878C4×D4—48no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—84no—
884C4×D4—84no—
885C4×D4—82no—
886C4×D4—82no—
887#117—216no—
888#117—28no—
889#117—216no—
890#117—216no—
891#117—216no—
892#117—42no—
893#117—42no—
894#117C2×D418yes—
895#117C2×D4132yes—
896#117C2×D418yes—
897C2×C4⋊C4—28no—
898C2×C4⋊C4—216no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—216no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C42—216no—
1025C2×C42—28no—
1026C2×C42—42no—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099C24C2512yes—
1100C24C2514yes—
1101C24C2511yescharacteristic
1102C24C2512yes—
1103#41—432no—
1104C2×Q8—28no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—28no—
1108C2×Q8—24no—
1109C2×Q8—24no—
1110C2×Q8—24no—
1111C2×Q8—24no—
1112C2×Q8—42no—
1113C2×Q8—42no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—42no—
1117C2×Q8—44no—
1118C2×Q8—42no—
1119C2×Q8—44no—
1120C2×Q8—416no—
1121C2×Q8—432no—
1122C2×Q8C22×D418yes—
1123C2×Q8C22×D418yes—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—42no—
1143C2×D4—41no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—41no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D42−1+414yes—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—28no—
1171C22×C4—24no—
1172C22×C4—28no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—28no—
1182C22×C4—28no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—41no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4C22×D414yes—
1210C22×C4C22×D418yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4C22×D414yes—
1299C4⋊C4C22×D4116yes—
1300C4⋊C4C22×D414yes—
1301C4⋊C4C22×D4116yes—
1302C4⋊C4C22×D414yes—
1303C4⋊C4C22×D414yes—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4C22×D418yes—
1357C22⋊C4C22×D418yes—
1358C42—28no—
1359C42—24no—
1360C42—28no—
1361C42—24no—
1362C42—28no—
1363C42—24no—
1364C42—28no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—41no—
1372C42—41no—
1373C42—42no—
1374C42—44no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42C22×D4116yes—
1379C42C22×D418yes—
1380C42C22×D418yes—
1381C42C22×D4116yes—
1382C23—22no—
1383C23—21no—
1384C23—22no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—24no—
1396C23—22no—
1397C23—24no—
1398C23—24no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—24no—
1403C23—24no—
1404C23—24no—
1405C23—22no—
1406C23—24no—
1407C23—22no—
1408C23C23×D412yes—
1409C23C2×2−1+414yes—
1410C23C2611yescharacteristic
1411Q8—216no—
1412Q8—48no—
1413Q8—416no—
1414Q8—48no—
1415Q8—84no—
1416Q8—88no—
1417D4—44no—
1418D4—48no—
1419D4—416no—
1420D4—44no—
1421D4—416no—
1422D4—48no—
1423D4—48no—
1424D4—48no—
1425D4—84no—
1426D4—88no—
1427D4—84no—
1428D4—88no—
1429D4—88no—
1430D4—162no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—28no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—416no—
1499C2×C4—416no—
1500C2×C4—48no—
1501C2×C4—48no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4—88no—
1505C2×C4—88no—
1506C2×C4—84no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4—162no—
1510C2×C4C23×D414yes—
1511C2×C4C23×D414yes—
1512C2×C4C23×D418yes—
1513C2×C4C23×D414yes—
1514C2×C4C23×D414yes—
1515C2×C4C23×D412yes—
1516C2×C4C23×D412yes—
1517C2×C4C2×2−1+412yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C22—24no—
1522C22—22no—
1523C22—22no—
1524C22—24no—
1525C22—24no—
1526C22—22no—
1527C22—42no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—44no—
1537C22—44no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—42no—
1542C22—44no—
1543C22—42no—
1544C22—44no—
1545C22—42no—
1546C22—44no—
1547C22—44no—
1548C22—42no—
1549C22C24×D411yescharacteristic
1550C22C22×2−1+411yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22H(7,𝔽2)11yescharacteristic
1555C222−1+611yescharacteristic
1556C4—24no—
1557C4—24no—
1558C4—24no—
1559C4—24no—
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—28no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—44no—
1568C4—44no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4#344914yes—
1581C2—44no—
1582C2—42no—
1583C2—84no—
1584C2—82no—
1585C2C2×#344911yescharacteristic
1586C2#6290211yescharacteristic
1587C2#6293411yescharacteristic
1588C2D4×2−1+411yescharacteristic
1589C2#6300311yescharacteristic
1590C2#6302511yescharacteristic
1591C2#6305611yescharacteristic
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×#3516C2semidirect
2. #52169C2semidirect
3. #52160C2semidirect
4. #42879C2semidirect
5. #42806C2semidirect
6. #42800C2semidirect
7. #41988C2semidirect
8. #41959C2semidirect
9. #41948C2semidirect
10. #39858C2semidirect
11. #39850C2semidirect
12. #39743C2semidirect
13. #39615C2semidirect
14. #39611C2semidirect
15. #39139C2semidirect
16. #38435C2semidirect
17. #38380C2semidirect
18. #37299C2semidirect
19. #37277C2semidirect
20. #37191C2semidirect
21. #37188C2semidirect
22. #36544C2semidirect
23. #36472C2semidirect
24. #36272C2semidirect
25. #36233C2semidirect
26. #35787C2semidirect
27. #35736C2semidirect
28. #35701C2semidirect
29. #34254C2semidirect
357. #519D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35162
#521692
#521602
#428792
#428062
#428002
#419882
#419592
#419482
#398582
#398502
#397432
#396152
#396112
#391392
#384352
#383802
#372992
#372772
#371912
#371882
#365442
#364722
#362722
#362332
#357872
#357362
#357012
#342542