Finite Group Databasebeta

← #7732578

Subgroups — #7732578

Order 512.

5520 conjugacy classes of subgroups.

The subgroup lattice has 1587 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51104C214yesmaximal, complemented
2#50733C214yesmaximal, complemented
3#47714C214yesmaximal, complemented
4#47713C214yesmaximal, complemented
5#43906C214yesmaximal, complemented
6#43888C214yesmaximal, complemented
7#39805C212yesmaximal, complemented
8#39804C212yesmaximal, complemented
9#39743C212yesmaximal, complemented
10#39742C212yesmaximal, complemented
11#39690C212yesmaximal, complemented
12#39292C212yesmaximal, complemented
13#38286C212yesmaximal, complemented
14#38123C212yesmaximal, complemented
15#37792C212yesmaximal, complemented
16#37706C212yesmaximal, complemented
17#37554C211yesmaximal, characteristic, complemented
18#37336C212yesmaximal, complemented
19#37333C212yesmaximal, complemented
20#36263C212yesmaximal, complemented
21#36122C212yesmaximal, complemented
22#35580C212yesmaximal, complemented
23#35571C212yesmaximal, complemented
24#35238C211yesmaximal, characteristic, complemented
25#35166C211yesmaximal, characteristic, complemented
26C2×#2550C211yesmaximal, characteristic, complemented
27#34398C211yesmaximal, characteristic, complemented
28#34236C211yesmaximal, characteristic, complemented
29#34083C211yesmaximal, characteristic, complemented
30C2×#553C2214yes—
31C2×#548C2214yes—
32C2×#540C2212yes—
33C2×#537C2212yes—
34C2×#537C2212yes—
35C2×#532C2211yescharacteristic
36C2×#532C2211yescharacteristic
37C2×#532C2212yes—
38C22×C4⋊Q8C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C22×#125C2211yescharacteristic
41#2860C2212yes—
42#2858C2212yes—
43#2857C2212yes—
44#2856C2212yes—
45#2856C2212yes—
46#2856C2212yes—
47#2854C2212yes—
48#2850C2212yes—
49#2820C2212yes—
50#2819C2212yes—
51#2807C2214yes—
52#2803C2214yes—
53#2803C2214yes—
54#2800C2214yes—
55#2798C2214yes—
56#2780C2214yes—
57#2773C2214yes—
58#2754C2214yes—
59#2733C2214yes—
60#2732C2214yes—
61#2730C2214yes—
62#2730C2214yes—
63#2727C2214yes—
64#2712C2214yes—
65#2711C2214yes—
66#2711C2214yes—
67#2710C2214yes—
68#2710C2214yes—
69#2707C2214yes—
70#2707C2214yes—
71#2705C2214yes—
72#2705C2214yes—
73#2704C2214yes—
74#2702C2214yes—
75#2701C2214yes—
76#2701C2214yes—
77#2700C2214yes—
78#2700C2214yes—
79#2699C2214yes—
80#2692C2214yes—
81#2692C2214yes—
82#2691C2214yes—
83#2689C2214yes—
84#2687C2214yes—
85#2686C2214yes—
86#2686C2214yes—
87#2682C2214yes—
88#2672C2214yes—
89#2672C2214yes—
90#2671C2214yes—
91#2662C2214yes—
92#2656C2212yes—
93#2656C2212yes—
94#2656C2212yes—
95#2644C2212yes—
96#2641C2212yes—
97#2639C2212yes—
98#2636C2214yes—
99#2629C2212yes—
100#2628C2212yes—
101#2624C2212yes—
102#2619C2212yes—
103#2607C2214yes—
104#2602C2214yes—
105#2602C2214yes—
106#2601C2214yes—
107#2596C2214yes—
108#2591C2214yes—
109#2589C2214yes—
110#2589C2214yes—
111#2580C2212yes—
112#2567C2211yescharacteristic
113#2566C2212yes—
114#2563C2211yescharacteristic
115#2560C2214yes—
116#2559C2214yes—
117#2558C2214yes—
118#2557C2214yes—
119#2556C2214yes—
120#2555C2214yes—
121#2555C2214yes—
122#2550C2212yes—
123#2550C2214yes—
124#2550C2214yes—
125#2550C2212yes—
126#2550C2212yes—
127#2550C2212yes—
128#2549C2214yes—
129#2549C2214yes—
130#2548C2211yescharacteristic
131#2545C2214yes—
132#2544C2212yes—
133#2543C2214yes—
134#2543C2214yes—
135#2543C2214yes—
136#2542C2212yes—
137#2542C2212yes—
138#2541C2212yes—
139#2541C2212yes—
140#2541C2211yescharacteristic
141#2540C2214yes—
142#2540C2214yes—
143#2535C2212yes—
144#2507C2212yes—
145#2506C2212yes—
146#2497C2212yes—
147#2496C2212yes—
148#2491C2214yes—
149#2491C2212yes—
150#2491C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2476C2214yes—
154#2465C2214yes—
155#2465C2214yes—
156#2464C2214yes—
157#2459C2214yes—
158#2455C2214yes—
159#2454C2214yes—
160#2454C2212yes—
161#2454C2212yes—
162#2452C2212yes—
163#2452C2214yes—
164#2452C2212yes—
165#2450C2214yes—
166#2448C2214yes—
167#2445C2212yes—
168#2445C2212yes—
169#2444C2214yes—
170#2443C2214yes—
171#2443C2214yes—
172#2443C2214yes—
173#2441C2214yes—
174#2438C2214yes—
175#2436C2214yes—
176#2432C2214yes—
177#2431C2214yes—
178#2430C2214yes—
179#2430C2214yes—
180#2430C2214yes—
181#2430C2214yes—
182#2428C2214yes—
183#2428C2212yes—
184#2428C2212yes—
185#2425C2214yes—
186#2423C2214yes—
187#2416C2214yes—
188#2416C2212yes—
189#2416C2212yes—
190#2416C2214yes—
191#2416C2214yes—
192#2416C2214yes—
193#2416C2212yes—
194#2416C2212yes—
195#2414C2214yes—
196#2407C2214yes—
197C2×#398C2212yes—
198C2×#395C2212yes—
199#2379C2212yes—
200#2379C2212yes—
201#2369C2211yescharacteristic
202#2369C2211yescharacteristic
203#2366C2211yescharacteristic
204#2366C2211yescharacteristic
205#2364C2214yes—
206#2361C2212yes—
207#2361C2212yes—
208#2361C2214yes—
209#2361C2212yes—
210#2361C2212yes—
211#2357C2212yes—
212#2357C2212yes—
213#2349C2212yes—
214#2349C2212yes—
215#2339C2214yes—
216#2339C2214yes—
217#2337C2212yes—
218#2337C2214yes—
219#2336C2212yes—
220#2334C2212yes—
221#2334C2212yes—
222#2331C2212yes—
223#2330C2212yes—
224#2329C2211yescharacteristic
225#2329C2211yescharacteristic
226#2328C2212yes—
227#2325C2211yescharacteristic
228#2325C2211yescharacteristic
229#2325C2212yes—
230#2325C2212yes—
231#2324C2212yes—
232#2324C2212yes—
233#2324C2212yes—
234#2322C2212yes—
235#2322C2212yes—
236#2319C2212yes—
237#2319C2212yes—
238#2318C2214yes—
239C4×C4⋊Q8C2212yes—
240C4×#121C2212yes—
241C4×#121C2212yes—
242C4×#121C2212yes—
243#2298C2212yes—
244#2296C2212yes—
245#2295C2212yes—
246C2×#391C2212yes—
247#2293C2212yes—
248C2×#389C2212yes—
249C2×#389C2211yescharacteristic
250C2×#389C2211yescharacteristic
251#2290C2212yes—
252#2290C2212yes—
253#2283C2211yescharacteristic
254C2×#382C2211yescharacteristic
255#2275C2212yes—
256C42×D4C2212yes—
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C4⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×Q8C2312yes—
263#553—416no—
264#548—416no—
265#540—48no—
266#537—48no—
267#537—48no—
268#532—28no—
269#532—28no—
270#532—48no—
271C2×C4⋊Q8—44no—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2314yes—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2312yes—
282#529—28no—
283C2×#126C2312yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#125—44no—
287C2×#125C2311yescharacteristic
288C2×#125C2312yes—
289C2×#125C2312yes—
290C2×#125C2314yes—
291C2×#125C2314yes—
292C2×#124C2311yescharacteristic
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2311yescharacteristic
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2314yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C42C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2312yes—
381C22×C42C2311yescharacteristic
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2312yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2312yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#384C2312yes—
649#384C2312yes—
650#384C2312yes—
651#383C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2311yescharacteristic
656#382C2311yescharacteristic
657#382C2312yes—
658#382C2312yes—
659#381C2314yes—
660#381C2314yes—
661#381C2314yes—
662#381C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2311yescharacteristic
670#380C2311yescharacteristic
671#380C2314yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2311yescharacteristic
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711#376C2312yes—
712#376C2312yes—
713C2×#95C2314yes—
714C2×#95C2312yes—
715C2×#95C2311yescharacteristic
716C2×#95C2311yescharacteristic
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C43C2312yes—
723C2×#41—28no—
724C2×#41—28no—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—48no—
730C2×#41—48no—
731C2×#41—84no—
732C22×Q8—28no—
733C22×Q8—44no—
734C22×Q8—82no—
735C22×Q8C2414yes—
736C22×Q8C2411yescharacteristic
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×Q8C2414yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2411yescharacteristic
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2412yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C4⋊Q8—28no—
779C4⋊Q8—24no—
780C4⋊Q8—24no—
781C4⋊Q8—44no—
782C4⋊Q8—48no—
783#127—24no—
784#127—24no—
785#127—44no—
786#127—44no—
787#127—82no—
788#126—28no—
789#126—48no—
790#126—48no—
791#125—28no—
792#125—24no—
793#125—44no—
794#125—48no—
795#125—48no—
796#124—24no—
797#124—28no—
798#124—28no—
799#124—48no—
800#124—48no—
801#124—48no—
802#124—48no—
803#124—82no—
804#124—84no—
805#123—28no—
806#123—48no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—84no—
811C22⋊Q8—24no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—48no—
819#121—24no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—216no—
825#121—216no—
826#121—28no—
827#121—28no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—44no—
836#121—48no—
837#121—44no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—84no—
845C4×Q8—24no—
846C4×Q8—48no—
847C4×D4—28no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—28no—
852C4×D4—24no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—28no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—48no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—82no—
866C4×D4—82no—
867#117—28no—
868#117—44no—
869#117—48no—
870C2×C4⋊C4—24no—
871C2×C4⋊C4—24no—
872C2×C4⋊C4—28no—
873C2×C4⋊C4—24no—
874C2×C4⋊C4—24no—
875C2×C4⋊C4—42no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—82no—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
990C2×C42—42no—
991C2×C42—42no—
992C2×C42—44no—
993C2×C42—82no—
994C2×C42#4118yescomplemented
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072C24C2512yes—
1073C24C2514yes—
1074C24C2514yes—
1075C24C2511yescharacteristic
1076#41—816no—
1077#41—816no—
1078#41—832no—
1079C2×Q8—22no—
1080C2×Q8—24no—
1081C2×Q8—24no—
1082C2×Q8—28no—
1083C2×Q8—28no—
1084C2×Q8—28no—
1085C2×Q8—44no—
1086C2×Q8—42no—
1087C2×Q8—42no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—41no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—41no—
1094C2×Q8—816no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—41no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—28no—
1166C22×C4—28no—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—28no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—42no—
1173C22×C4—41no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4C2×#4114yes—
1205C22×C4C2×#4114yes—
1206C22×C4C2×#4114yes—
1207C22×C4H(5,𝔽2)14yes—
1208C22×C4H(5,𝔽2)14yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4H(5,𝔽2)14yes—
1289C4⋊C42−1+414yes—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—42no—
1351C42—42no—
1352C42—42no—
1353C42—42no—
1354C42—42no—
1355C42—42no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42C2×#4114yes—
1365C42C2×#4114yes—
1366C42C2×#4114yes—
1367C42C2×#4114yes—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—24no—
1374C23—24no—
1375C23—22no—
1376C23—22no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—24no—
1383C23—22no—
1384C23—24no—
1385C23—24no—
1386C23—22no—
1387C23—24no—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—24no—
1392C23—24no—
1393C23C22×#4112yes—
1394C23C2×H(5,𝔽2)12yes—
1395C23C2×H(5,𝔽2)12yes—
1396C23C2611yescharacteristic
1397Q8—416no—
1398Q8—82no—
1399Q8—88no—
1400Q8—84no—
1401Q8—84no—
1402D4—48no—
1403D4—48no—
1404D4—416no—
1405D4—416no—
1406D4—48no—
1407D4—48no—
1408D4—82no—
1409D4—84no—
1410D4—88no—
1411D4—88no—
1412D4—84no—
1413D4—84no—
1414D4—88no—
1415D4—88no—
1416D4—88no—
1417D4—164no—
1418D4—164no—
1419D4—164no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—28no—
1439C2×C4—28no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—48no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—84no—
1493C2×C4—88no—
1494C2×C4—88no—
1495C2×C4—88no—
1496C2×C4—88no—
1497C2×C4—82no—
1498C2×C4—84no—
1499C2×C4—82no—
1500C2×C4—84no—
1501C2×C4—88no—
1502C2×C4—164no—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C2×H(5,𝔽2)14yes—
1510C2×C4C2×H(5,𝔽2)14yes—
1511C2×C4C2×H(5,𝔽2)14yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4C2×2−1+414yes—
1514C2×C4C2×2−1+412yes—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—44no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—44no—
1527C22—44no—
1528C22—42no—
1529C22—44no—
1530C22—42no—
1531C22—44no—
1532C22—44no—
1533C22—42no—
1534C22—44no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—44no—
1539C22—42no—
1540C22—44no—
1541C22—44no—
1542C22#350814yes—
1543C22C23×#4111yescharacteristic
1544C22C22×H(5,𝔽2)11yescharacteristic
1545C22C22×H(5,𝔽2)11yescharacteristic
1546C22C22×H(5,𝔽2)11yescharacteristic
1547C22C22×2−1+411yescharacteristic
1548C22H(7,𝔽2)11yescharacteristic
1549C222−1+611yescharacteristic
1550C4—22no—
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—24no—
1556C4—24no—
1557C4—24no—
1558C4—24no—
1559C4—44no—
1560C4—44no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—44no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4#351114yes—
1575C2—24no—
1576C2—84no—
1577C2—84no—
1578C2—82no—
1579C2C2×#350811yescharacteristic
1580C2C2×#351111yescharacteristic
1581C2#6285611yescharacteristic
1582C2#6289211yescharacteristic
1583C2#6289511yescharacteristic
1584C2#6294411yescharacteristic
1585C2#6294611yescharacteristic
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. #51104C2semidirect
2. #50733C2semidirect
3. #47714C2semidirect
4. #47713C2semidirect
5. #43906C2semidirect
6. #43888C2semidirect
7. #39805C2semidirect
8. #39804C2semidirect
9. #39743C2semidirect
10. #39742C2semidirect
11. #39690C2semidirect
12. #39292C2semidirect
13. #38286C2semidirect
14. #38123C2semidirect
15. #37792C2semidirect
16. #37706C2semidirect
17. #37554C2semidirect
18. #37336C2semidirect
19. #37333C2semidirect
20. #36263C2semidirect
21. #36122C2semidirect
22. #35580C2semidirect
23. #35571C2semidirect
24. #35238C2semidirect
25. #35166C2semidirect
26. C2×#2550C2semidirect
27. #34398C2semidirect
28. #34236C2semidirect
29. #34083C2semidirect
994. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#511042
#507332
#477142
#477132
#439062
#438882
#398052
#398042
#397432
#397422
#396902
#392922
#382862
#381232
#377922
#377062
#375542
#373362
#373332
#362632
#361222
#355802
#355712
#352382
#351662
C2×#25502
#343982
#342362
#340832