Finite Group Databasebeta

← #7665644

Subgroups — #7665644

Order 512.

5954 conjugacy classes of subgroups.

The subgroup lattice has 1455 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40173C213yesmaximal, complemented
2#40145C213yesmaximal, complemented
3#40081C213yesmaximal, complemented
4#40049C213yesmaximal, complemented
5#40033C213yesmaximal, complemented
6#40007C213yesmaximal, complemented
7#39933C213yesmaximal, complemented
8#39911C213yesmaximal, complemented
9#39532C213yesmaximal, complemented
10#39396C213yesmaximal, complemented
11#39020C213yesmaximal, complemented
12#39004C213yesmaximal, complemented
13#36585C211yesmaximal, characteristic, complemented
14Q8×#124C211yesmaximal, characteristic, complemented
15#36483C211yesmaximal, characteristic, complemented
16#36457C211yesmaximal, characteristic, complemented
17#36456C211yesmaximal, characteristic, complemented
18#36448C211yesmaximal, characteristic, complemented
19#36434C211yesmaximal, characteristic, complemented
20#36432C211yesmaximal, characteristic, complemented
21#36430C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36428C211yesmaximal, characteristic, complemented
25#35080C213yesmaximal, complemented
26#35046C213yesmaximal, complemented
27#35044C213yesmaximal, complemented
28C4×#550C211yesmaximal, characteristic, complemented
29C4×#548C211yesmaximal, characteristic, complemented
30C22⋊C4×#41C211yesmaximal, characteristic, complemented
31C4×#538C213yesmaximal, complemented
32C23×#41C2211yescharacteristic
33C2×Q82C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic, complemented
41C2×#538C2213yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic, complemented
45C22×C4×Q8C2211yescharacteristic, complemented
46#2863C2213yescomplemented
47#2862C2213yescomplemented
48#2860C2213yescomplemented
49#2858C2213yescomplemented
50#2857C2213yescomplemented
51#2855C2213yescomplemented
52#2854C2213yescomplemented
53#2850C2213yescomplemented
54#2850C2213yescomplemented
55#2850C2213yescomplemented
56#2848C2213yes—
57#2847C2213yes—
58#2778C2216yescomplemented
59#2765C2216yescomplemented
60#2761C2216yescomplemented
61#2760C2216yescomplemented
62#2753C2216yescomplemented
63#2751C2216yescomplemented
64#2749C2216yescomplemented
65#2741C2216yescomplemented
66#2736C2216yes—
67#2730C2216yescomplemented
68#2730C2216yescomplemented
69#2703C2216yescomplemented
70#2696C2216yescomplemented
71#2685C2216yes—
72#2684C2216yes—
73#2678C2216yes—
74#2653C2216yes—
75#2653C2216yescomplemented
76#2649C2216yescomplemented
77#2648C2216yescomplemented
78#2636C2216yescomplemented
79#2631C2216yescomplemented
80#2597C2216yescomplemented
81#2589C2216yescomplemented
82#2576C2216yescomplemented
83#2568C2213yescomplemented
84#2563C2213yes—
85#2563C2213yescomplemented
86#2563C2213yescomplemented
87#2557C2216yescomplemented
88#2548C2213yescomplemented
89#2545C2213yescomplemented
90#2544C2213yescomplemented
91#2544C2213yescomplemented
92#2538C2213yescomplemented
93#2536C2213yes—
94#2535C2213yescomplemented
95#2535C2213yescomplemented
96#2518C2216yescomplemented
97#2514C2213yescomplemented
98#2514C2213yescomplemented
99#2513C2213yescomplemented
100#2513C2213yescomplemented
101#2513C2213yescomplemented
102#2511C2213yescomplemented
103#2510C2216yescomplemented
104#2501C2213yescomplemented
105#2499C2213yescomplemented
106#2496C2213yes—
107#2495C2213yes—
108#2494C2213yes—
109#2494C2213yescomplemented
110#2494C2213yescomplemented
111#2494C2213yescomplemented
112#2492C2213yes—
113#2492C2213yes—
114#2492C2213yescomplemented
115#2492C2213yescomplemented
116#2491C2213yescomplemented
117#2491C2213yescomplemented
118#2491C2213yescomplemented
119#2491C2213yescomplemented
120#2486C2213yescomplemented
121#2485C2213yes—
122#2472C2216yes—
123#2459C2216yescomplemented
124#2459C2216yescomplemented
125#2456C2216yescomplemented
126#2452C2213yescomplemented
127#2452C2213yescomplemented
128#2450C2216yescomplemented
129#2448C2213yescomplemented
130#2448C2213yescomplemented
131#2447C2213yescomplemented
132#2447C2213yescomplemented
133#2439C2213yescomplemented
134#2439C2213yescomplemented
135#2435C2213yes—
136#2433C2213yes—
137#2432C2213yes—
138#2432C2213yes—
139#2431C2213yes—
140#2431C2213yes—
141#2429C2213yescomplemented
142#2428C2213yescomplemented
143#2428C2213yescomplemented
144#2427C2213yescomplemented
145#2427C2213yescomplemented
146#2426C2213yes—
147#2423C2213yescomplemented
148#2423C2213yescomplemented
149#2422C2213yes—
150#2420C2213yes—
151#2418C2216yes—
152#2417C2213yescomplemented
153#2416C2213yes—
154#2415C2213yescomplemented
155#2415C2213yescomplemented
156#2414C2213yescomplemented
157#2414C2213yescomplemented
158#2408C2213yes—
159#2408C2213yes—
160#2407C2213yes—
161#2407C2213yes—
162#2407C2213yes—
163#2407C2213yes—
164#2367C2213yescomplemented
165#2366C2213yescomplemented
166#2363C2213yescomplemented
167#2363C2213yescomplemented
168#2362C2213yescomplemented
169#2361C2213yescomplemented
170#2354C2213yescomplemented
171#2352C2213yescomplemented
172#2351C2211yescharacteristic, complemented
173#2351C2211yescharacteristic, complemented
174#2351C2211yescharacteristic, complemented
175#2351C2211yescharacteristic, complemented
176Q8×C4⋊C4C2211yescharacteristic, complemented
177Q8×C4⋊C4C2211yescharacteristic, complemented
178#2341C2211yescharacteristic
179#2341C2211yescharacteristic
180#2341C2211yescharacteristic
181#2341C2211yescharacteristic
182#2341C2211yescharacteristic
183#2341C2211yescharacteristic
184#2341C2211yescharacteristic, complemented
185#2341C2211yescharacteristic, complemented
186Q8×C22⋊C4C2211yescharacteristic
187Q8×C22⋊C4C2211yescharacteristic
188Q8×C22⋊C4C2211yescharacteristic
189Q8×C22⋊C4C2211yescharacteristic
190Q8×C22⋊C4C2211yescharacteristic, complemented
191Q8×C22⋊C4C2211yescharacteristic, complemented
192#2339C2213yes—
193#2339C2213yes—
194D4×C22⋊C4C2213yes—
195D4×C22⋊C4C2213yes—
196#2337C2211yescharacteristic
197#2337C2216yescomplemented
198#2337C2213yescomplemented
199#2335C2213yes—
200#2335C2213yescomplemented
201#2334C2213yes—
202#2334C2213yescomplemented
203#2333C2213yes—
204#2333C2213yescomplemented
205#2329C2213yescomplemented
206#2325C2213yescomplemented
207#2321C2213yes—
208#2321C2213yes—
209#2318C2213yescomplemented
210#2318C2213yescomplemented
211#2312C2213yes—
212C4×#127C2213yescomplemented
213C4×#126C2213yes—
214C4×#126C2213yescomplemented
215C4×#124C2213yes—
216C4×#124C2213yescomplemented
217C4×#124C2213yescomplemented
218C4×C22⋊Q8C2213yescomplemented
219C4×C22⋊Q8C2213yescomplemented
220C4×#123C2213yes—
221C4×#123C2213yescomplemented
222C4×#121C2213yes—
223C4×#121C2213yescomplemented
224C4×#121C2213yescomplemented
225C4×#121C2213yescomplemented
226C4×#121C2213yescomplemented
227C4×#121C2213yescomplemented
228C4×#120C2213yes—
229C4×#120C2213yes—
230#2297C2213yes—
231#2297C2213yes—
232#2280C2213yes—
233C42×Q8C2211yescharacteristic, complemented
234C42×Q8C2211yescharacteristic, complemented
235C42×D4C2213yescomplemented
236C42×D4C2213yescomplemented
237C2×C4×C22⋊C4C2213yes—
238C22×#41—28no—
239C22×#41—44no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2313yes—
245C22×#41C2313yes—
246C23×Q8C2311yescharacteristic
247C23×Q8C2311yescharacteristic
248C23×D4C2313yes—
249C24×C4C2313yes—
250Q82—44no—
251#550—28no—
252#550—44no—
253D4×Q8—44no—
254#548—28no—
255#548—44no—
256#548—44no—
257#548—44no—
258#538—224no—
259C2×C4⋊Q8C2313yes—
260C2×C4⋊Q8C2313yes—
261C2×C4⋊Q8C2313yes—
262C2×C4⋊Q8C2313yes—
263C2×#127C2313yes—
264C2×#127C2313yes—
265C2×#126C2313yes—
266C2×#126C2313yes—
267C2×#124C2313yes—
268C2×#124C2313yes—
269C2×#124C2316yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2313yes—
273C2×#124C2316yes—
274C2×#124C2311yescharacteristic
275C2×#123C2313yes—
276C2×#123C2313yes—
277C2×#123C2316yes—
278C2×C22⋊Q8C2313yes—
279C2×C22⋊Q8C2313yes—
280C2×C22⋊Q8C2313yes—
281C2×C22⋊Q8C2313yes—
282C2×C22⋊Q8C2313yes—
283C2×C22⋊Q8C2313yes—
284C2×C22⋊Q8C2313yes—
285C2×C22⋊Q8C2316yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#120C2313yes—
298C2×#120C2313yes—
299C2×#120C2316yes—
300C4×#41—44no—
301C4×#41—44no—
302C4×#41—44no—
303C2×C4×Q8—44no—
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2313yes—
315C2×C4×Q8C2313yes—
316C2×C4×Q8C2313yes—
317C2×C4×D4C2313yes—
318C2×C4×D4C2313yes—
319C2×C4×D4C2313yes—
320C2×C4×D4C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2313yes—
325C2×C4×D4C2313yes—
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2313yes—
329C2×C4×D4C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2316yes—
335C2×#117C2313yes—
336C2×#117C2313yes—
337C2×#117C2313yes—
338C22×C4⋊C4C2313yes—
339C22×C22⋊C4C2313yes—
340C22×C22⋊C4C2313yes—
341C22×C42C2313yes—
342C22×C42C2313yes—
343C22×C42C2313yes—
344C22×C42C2313yes—
345#401C2316yes—
346#401C2316yes—
347#400C2316yes—
348#400C2316yes—
349#400C2316yes—
350#400C2316yes—
351#399C2316yes—
352#399C2316yes—
353#398C2316yes—
354#398C2316yes—
355#397C2316yes—
356#397C2316yes—
357#397C2316yes—
358#397C2316yes—
359#397C2316yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#397C2316yes—
364#397C2316yes—
365#396C2316yes—
366#396C2316yes—
367#396C2316yes—
368#396C2316yes—
369#394C2316yes—
370#394C2316yes—
371#394C2316yes—
372#394C2316yes—
373#394C2316yes—
374#394C2316yes—
375#394C2316yes—
376#394C2316yes—
377#394C2316yes—
378#394C2316yes—
379#394C2316yes—
380#394C2316yes—
381#393C2316yes—
382#393C2316yes—
383#393C2316yes—
384#393C2316yes—
385#393C2316yes—
386#393C2316yes—
387#392C2316yes—
388#392C2316yes—
389#392C2316yes—
390#392C2316yes—
391#392C2316yes—
392#392C2316yes—
393#391C2313yes—
394#391C2313yes—
395#391C2313yes—
396#391C2313yes—
397#391C2313yes—
398#391C2311yescharacteristic
399#391C2316yes—
400#391C2316yes—
401#391C2311yescharacteristic
402#391C2316yes—
403#391C2313yes—
404#391C2313yes—
405#391C2313yes—
406#391C2313yes—
407#391C2313yes—
408#391C2313yes—
409#391C2313yes—
410#391C2313yes—
411#390C2313yes—
412#390C2313yes—
413#390C2316yes—
414#390C2316yes—
415#390C2313yes—
416#390C2313yes—
417#390C2313yes—
418#390C2316yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2313yes—
425#390C2313yes—
426#390C2313yes—
427#390C2313yes—
428#390C2313yes—
429#390C2313yes—
430#390C2313yes—
431#390C2313yes—
432#390C2313yes—
433#390C2313yes—
434#390C2313yes—
435#389C2313yes—
436#389C2313yes—
437#389C2313yes—
438#389C2313yes—
439#389C2313yes—
440#389C2313yes—
441#389C2313yes—
442#389C2313yes—
443#389C2313yes—
444#389C2313yes—
445#389C2313yes—
446#389C2313yes—
447#389C2313yes—
448#389C2313yes—
449#389C2313yes—
450#389C2313yes—
451#388C2311yescharacteristic
452#388C2313yes—
453#388C2313yes—
454#388C2313yes—
455#388C2313yes—
456#388C2313yes—
457#388C2311yescharacteristic
458#388C2313yes—
459#388C2313yes—
460#388C2313yes—
461#388C2313yes—
462#388C2313yes—
463#388C2311yescharacteristic
464#388C2313yes—
465#388C2313yes—
466#388C2313yes—
467#388C2316yes—
468#388C2316yes—
469#388C2313yes—
470#388C2313yes—
471#388C2313yes—
472#388C2313yes—
473#388C2313yes—
474#388C2313yes—
475#388C2316yes—
476#388C2316yes—
477#388C2313yes—
478#388C2311yescharacteristic
479#388C2316yes—
480#388C2316yes—
481#388C2316yes—
482#388C2316yes—
483#388C2316yes—
484#388C2316yes—
485#388C2316yes—
486#388C2316yes—
487#388C2316yes—
488#388C2316yes—
489#387C2313yes—
490#387C2313yes—
491#387C2313yes—
492#387C2313yes—
493#387C2313yes—
494#387C2313yes—
495#387C2313yes—
496#387C2313yes—
497#387C2313yes—
498#387C2316yes—
499#387C2313yes—
500#387C2313yes—
501#387C2313yes—
502#387C2316yes—
503#387C2316yes—
504#387C2316yes—
505#386C2313yes—
506#386C2313yes—
507#386C2313yes—
508#386C2313yes—
509#386C2316yes—
510#386C2316yes—
511#386C2311yescharacteristic
512#386C2313yes—
513#386C2313yes—
514#386C2313yes—
515#386C2313yes—
516#386C2313yes—
517#386C2311yescharacteristic
518#386C2313yes—
519#386C2313yes—
520#386C2313yes—
521#386C2316yes—
522#386C2316yes—
523#386C2316yes—
524#386C2316yes—
525#386C2316yes—
526#386C2316yes—
527#386C2316yes—
528#386C2316yes—
529#386C2316yes—
530#386C2316yes—
531#386C2316yes—
532#386C2316yes—
533#385C2313yes—
534#385C2313yes—
535#385C2313yes—
536#385C2313yes—
537#385C2313yes—
538#385C2311yescharacteristic
539#385C2313yes—
540#385C2313yes—
541#385C2316yes—
542#385C2311yescharacteristic
543#385C2313yes—
544#385C2316yes—
545#385C2316yes—
546#385C2316yes—
547#384C2313yes—
548#384C2313yes—
549#383C2313yes—
550#383C2311yescharacteristic
551#383C2316yes—
552#382C2316yes—
553#382C2313yes—
554#382C2313yes—
555#382C2313yes—
556#382C2313yes—
557#382C2313yes—
558#382C2313yes—
559#381C2313yes—
560#381C2313yes—
561#381C2316yes—
562#381C2316yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2313yes—
572#380C2316yes—
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#380C2313yes—
577#380C2313yes—
578#380C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2313yes—
582#379C2313yes—
583#379C2313yes—
584#379C2316yes—
585#379C2316yes—
586C4×C4⋊C4C2313yes—
587C4×C4⋊C4C2313yes—
588C4×C4⋊C4C2313yes—
589C4×C4⋊C4C2313yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2311yescharacteristic
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C4⋊C4C2313yes—
602C4×C22⋊C4C2313yes—
603C4×C22⋊C4C2313yes—
604C4×C22⋊C4C2313yes—
605C4×C22⋊C4C2313yes—
606C4×C22⋊C4C2313yes—
607C4×C22⋊C4C2313yes—
608C4×C22⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2316yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2311yescharacteristic
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2311yescharacteristic
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627C4×C22⋊C4C2313yes—
628C4×C22⋊C4C2313yes—
629C4×C22⋊C4C2316yes—
630C2×#95C2313yes—
631C2×#95C2313yes—
632C43C2313yes—
633C43C2313yes—
634C25C2413yes—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—24no—
643C2×#41—212no—
644C2×#41—212no—
645C2×#41—46no—
646C2×#41—46no—
647C2×#41—46no—
648C2×#41—46no—
649C2×#41—464no—
650C2×#41#4118yes—
651C22×Q8—24no—
652C22×Q8—24no—
653C22×Q8—24no—
654C22×Q8—24no—
655C22×Q8—24no—
656C22×Q8—24no—
657C22×Q8C2413yes—
658C22×Q8C2413yes—
659C22×Q8C2416yes—
660C22×Q8C2411yescharacteristic
661C22×Q8C2411yescharacteristic
662C22×D4—212no—
663C22×D4—46no—
664C22×D4—46no—
665C22×D4C2413yes—
666C22×D4C2413yes—
667C22×D4C2413yes—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2416yes—
673C22×D4C2413yes—
674C22×D4C2413yes—
675C22×D4C2416yes—
676C22×D4C2416yes—
677C22×D4C2411yescharacteristic
678C23×C4—212no—
679C23×C4—46no—
680C23×C4—46no—
681C23×C4C2413yes—
682C23×C4C2413yes—
683C23×C4C2413yes—
684C23×C4C2413yes—
685C23×C4C2413yes—
686C23×C4C2413yes—
687C23×C4C2413yes—
688C23×C4C2413yes—
689C23×C4C2413yes—
690C23×C4C2413yes—
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2413yes—
694C23×C4C2413yes—
695C23×C4C2413yes—
696C23×C4C2413yes—
697C4⋊Q8—46no—
698C4⋊Q8—46no—
699C4⋊Q8—46no—
700C4⋊Q8—46no—
701#127—212no—
702#127—46no—
703#126—212no—
704#126—212no—
705#124—212no—
706#124—212no—
707#124—412no—
708#124—46no—
709#124—46no—
710#124—46no—
711#124—86no—
712#124#4118yescomplemented
713#123—212no—
714#123—212no—
715#123—86no—
716C22⋊Q8—212no—
717C22⋊Q8—212no—
718C22⋊Q8—46no—
719C22⋊Q8—46no—
720C22⋊Q8—46no—
721C22⋊Q8—46no—
722C22⋊Q8—46no—
723C22⋊Q8—86no—
724#121—212no—
725#121—212no—
726#121—212no—
727#121—212no—
728#121—212no—
729#121—212no—
730#121—46no—
731#121—46no—
732#121—46no—
733#121—46no—
734#121—46no—
735#120—212no—
736#120—212no—
737#120—86no—
738C4×Q8—24no—
739C4×Q8—24no—
740C4×Q8—24no—
741C4×Q8—24no—
742C4×Q8—24no—
743C4×Q8—24no—
744C4×Q8—24no—
745C4×Q8—24no—
746C4×Q8—24no—
747C4×Q8—24no—
748C4×Q8—46no—
749C4×Q8—46no—
750C4×Q8—46no—
751C4×D4—212no—
752C4×D4—212no—
753C4×D4—212no—
754C4×D4—212no—
755C4×D4—46no—
756C4×D4—46no—
757C4×D4—46no—
758C4×D4—46no—
759C4×D4—46no—
760C4×D4—46no—
761C4×D4—46no—
762C4×D4—46no—
763C4×D4—46no—
764C4×D4—46no—
765C4×D4—46no—
766C4×D4—46no—
767C4×D4—46no—
768C4×D4—86no—
769#117—46no—
770#117—46no—
771#117—46no—
772C2×C4⋊C4—46no—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2413yes—
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2413yes—
784C2×C4⋊C4C2413yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2413yes—
789C2×C4⋊C4C2413yes—
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2416yes—
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2413yes—
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2416yes—
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2413yes—
800C2×C4⋊C4C2413yes—
801C2×C4⋊C4C2413yes—
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2416yes—
804C2×C4⋊C4C2413yes—
805C2×C4⋊C4C2413yes—
806C2×C4⋊C4C2416yes—
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2413yes—
809C2×C22⋊C4—212no—
810C2×C22⋊C4—46no—
811C2×C22⋊C4C2411yescharacteristic
812C2×C22⋊C4C2413yes—
813C2×C22⋊C4C2413yes—
814C2×C22⋊C4C2413yes—
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2411yescharacteristic
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2413yes—
820C2×C22⋊C4C2413yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2416yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2416yes—
832C2×C22⋊C4C2416yes—
833C2×C22⋊C4C2416yes—
834C2×C22⋊C4C2411yescharacteristic
835C2×C22⋊C4C2411yescharacteristic
836C2×C22⋊C4C2411yescharacteristic
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2416yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C22⋊C4C2416yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2413yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2416yes—
851C2×C22⋊C4C2416yes—
852C2×C22⋊C4C2416yes—
853C2×C22⋊C4C2416yes—
854C2×C22⋊C4C2416yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2416yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2416yes—
860C2×C22⋊C4C2416yes—
861C2×C22⋊C4C2411yescharacteristic
862C2×C22⋊C4C2416yes—
863C2×C22⋊C4C2413yes—
864C2×C22⋊C4C2411yescharacteristic
865C2×C22⋊C4C2411yescharacteristic
866C2×C22⋊C4C2411yescharacteristic
867C2×C22⋊C4C2411yescharacteristic
868C2×C42—46no—
869C2×C42—46no—
870C2×C42—46no—
871C2×C42—46no—
872C2×C42C2413yes—
873C2×C42C2413yes—
874C2×C42C2413yes—
875C2×C42C2413yes—
876C2×C42C2413yes—
877C2×C42C2413yes—
878C2×C42C2413yes—
879C2×C42C2413yes—
880C2×C42C2413yes—
881C2×C42C2413yes—
882C2×C42C2413yes—
883C2×C42C2413yes—
884C2×C42C2413yes—
885C2×C42C2413yes—
886C2×C42C2413yes—
887C2×C42C2413yes—
888C2×C42C2413yes—
889C2×C42C2413yes—
890C2×C42C2413yes—
891C2×C42C2413yes—
892C2×C42C2411yescharacteristic
893C2×C42C2413yes—
894C2×C42C2411yescharacteristic
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898#95C2411yescharacteristic
899#95C2411yescharacteristic
900#95C2413yes—
901#95C2413yes—
902#95C2413yes—
903#95C2413yes—
904#95C2413yes—
905#95C2413yes—
906#95C2411yescharacteristic
907#95C2411yescharacteristic
908#95C2411yescharacteristic
909#95C2411yescharacteristic
910#95C2411yescharacteristic
911#95C2411yescharacteristic
912#95C2411yescharacteristic
913#95C2413yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2413yes—
924#95C2416yes—
925#95C2416yes—
926#95C2416yes—
927#95C2413yes—
928#95C2413yes—
929#95C2416yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2411yescharacteristic
935#95C2411yescharacteristic
936#95C2411yescharacteristic
937#95C2416yes—
938#95C2416yes—
939#95C2413yes—
940#95C2413yes—
941#95C2413yes—
942#95C2413yes—
943#95C2413yes—
944#95C2416yes—
945#95C2416yes—
946#95C2416yes—
947#95C2416yes—
948#95C2416yes—
949#95C2416yes—
950C24—26no—
951C24—26no—
952C24—43no—
953C24—43no—
954C24—43no—
955C24—43no—
956C24—43no—
957C24C2513yes—
958C24C2513yes—
959C24C2511yescharacteristic
960C24C2513yes—
961C24C2511yescharacteristic
962#41—232no—
963#41—448no—
964#41—448no—
965#41—416no—
966#41—416no—
967C2×Q8—26no—
968C2×Q8—26no—
969C2×Q8—26no—
970C2×Q8—26no—
971C2×Q8—26no—
972C2×Q8—26no—
973C2×Q8—41no—
974C2×Q8—41no—
975C2×Q8—46no—
976C2×Q8—46no—
977C2×Q8—46no—
978C2×Q8—416no—
979C2×Q8—416no—
980C2×Q8C2×#4114yes—
981C2×Q8C2×#4114yescomplemented
982C2×Q8H(5,𝔽2)14yes—
983C2×Q8H(5,𝔽2)14yes—
984C2×D4—26no—
985C2×D4—26no—
986C2×D4—26no—
987C2×D4—212no—
988C2×D4—26no—
989C2×D4—26no—
990C2×D4—26no—
991C2×D4—212no—
992C2×D4—26no—
993C2×D4—26no—
994C2×D4—26no—
995C2×D4—26no—
996C2×D4—26no—
997C2×D4—26no—
998C2×D4—26no—
999C2×D4—26no—
1000C2×D4—26no—
1001C2×D4—26no—
1002C2×D4—41no—
1003C2×D4—43no—
1004C2×D4—43no—
1005C2×D4—46no—
1006C2×D4—46no—
1007C2×D4—41no—
1008C2×D4—43no—
1009C2×D4—43no—
1010C2×D4—43no—
1011C2×D4—43no—
1012C2×D4—46no—
1013C2×D4—43no—
1014C2×D4—43no—
1015C2×D4—43no—
1016C2×D4—46no—
1017C2×D4—43no—
1018C2×D4—46no—
1019C2×D4—46no—
1020C2×D4—46no—
1021C2×D4—448no—
1022C2×D4C2×#41112yes—
1023C2×D4C2×#4114yes—
1024C22×C4—26no—
1025C22×C4—26no—
1026C22×C4—26no—
1027C22×C4—26no—
1028C22×C4—26no—
1029C22×C4—26no—
1030C22×C4—22no—
1031C22×C4—26no—
1032C22×C4—26no—
1033C22×C4—26no—
1034C22×C4—26no—
1035C22×C4—26no—
1036C22×C4—26no—
1037C22×C4—26no—
1038C22×C4—26no—
1039C22×C4—26no—
1040C22×C4—26no—
1041C22×C4—26no—
1042C22×C4—22no—
1043C22×C4—26no—
1044C22×C4—26no—
1045C22×C4—26no—
1046C22×C4—26no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—43no—
1051C22×C4—43no—
1052C22×C4—43no—
1053C22×C4—43no—
1054C22×C4—41no—
1055C22×C4—43no—
1056C22×C4—43no—
1057C22×C4—43no—
1058C22×C4—43no—
1059C22×C4—43no—
1060C22×C4—43no—
1061C22×C4—43no—
1062C22×C4—43no—
1063C22×C4—43no—
1064C22×C4—43no—
1065C22×C4—43no—
1066C22×C4—43no—
1067C22×C4—43no—
1068C22×C4—43no—
1069C22×C4—43no—
1070C22×C4—43no—
1071C22×C4—448no—
1072C22×C4C2×#41112yes—
1073C22×C4C2511yescharacteristic
1074C22×C4C2513yes—
1075C22×C4C2511yescharacteristic
1076C22×C4C2513yes—
1077C22×C4C2513yes—
1078C22×C4C2513yes—
1079C22×C4C2513yes—
1080C22×C4C2513yes—
1081C22×C4C2511yescharacteristic
1082C22×C4C2511yescharacteristic
1083C22×C4C2511yescharacteristic
1084C22×C4C2513yes—
1085C22×C4C2513yes—
1086C22×C4C2511yescharacteristic
1087C22×C4C2513yes—
1088C22×C4C2513yes—
1089C22×C4C2513yes—
1090C22×C4C2513yes—
1091C22×C4C2511yescharacteristic
1092C22×C4C2511yescharacteristic
1093C22×C4C2511yescharacteristic
1094C22×C4C2511yescharacteristic
1095C22×C4C2511yescharacteristic
1096C22×C4C2511yescharacteristic
1097C22×C4C2511yescharacteristic
1098C22×C4C2513yes—
1099C4⋊C4—22no—
1100C4⋊C4—26no—
1101C4⋊C4—26no—
1102C4⋊C4—26no—
1103C4⋊C4—26no—
1104C4⋊C4—26no—
1105C4⋊C4—26no—
1106C4⋊C4—26no—
1107C4⋊C4—26no—
1108C4⋊C4—26no—
1109C4⋊C4—26no—
1110C4⋊C4—26no—
1111C4⋊C4—26no—
1112C4⋊C4—26no—
1113C4⋊C4—26no—
1114C4⋊C4—26no—
1115C4⋊C4—26no—
1116C4⋊C4—26no—
1117C4⋊C4—22no—
1118C4⋊C4—46no—
1119C4⋊C4—41no—
1120C4⋊C4—43no—
1121C4⋊C4—43no—
1122C4⋊C4—41no—
1123C4⋊C4—43no—
1124C4⋊C4—43no—
1125C4⋊C4—43no—
1126C4⋊C4—43no—
1127C4⋊C4—46no—
1128C4⋊C4—43no—
1129C4⋊C4—43no—
1130C4⋊C4—43no—
1131C4⋊C4—46no—
1132C4⋊C4—43no—
1133C4⋊C4—43no—
1134C4⋊C4—46no—
1135C22⋊C4—26no—
1136C22⋊C4—26no—
1137C22⋊C4—26no—
1138C22⋊C4—26no—
1139C22⋊C4—212no—
1140C22⋊C4—26no—
1141C22⋊C4—26no—
1142C22⋊C4—22no—
1143C22⋊C4—26no—
1144C22⋊C4—26no—
1145C22⋊C4—26no—
1146C22⋊C4—26no—
1147C22⋊C4—26no—
1148C22⋊C4—26no—
1149C22⋊C4—26no—
1150C22⋊C4—22no—
1151C22⋊C4—26no—
1152C22⋊C4—26no—
1153C22⋊C4—43no—
1154C22⋊C4—43no—
1155C22⋊C4—46no—
1156C22⋊C4—41no—
1157C22⋊C4—43no—
1158C22⋊C4—46no—
1159C22⋊C4—46no—
1160C22⋊C4—46no—
1161C22⋊C4—43no—
1162C22⋊C4—43no—
1163C22⋊C4—43no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—43no—
1168C22⋊C4—43no—
1169C22⋊C4—43no—
1170C22⋊C4—43no—
1171C22⋊C4—43no—
1172C22⋊C4—43no—
1173C22⋊C4—43no—
1174C22⋊C4—46no—
1175C22⋊C4—46no—
1176C22⋊C4—43no—
1177C22⋊C4—46no—
1178C22⋊C4—46no—
1179C22⋊C4—46no—
1180C22⋊C4—46no—
1181C22⋊C4—46no—
1182C22⋊C4—43no—
1183C22⋊C4—46no—
1184C22⋊C4—46no—
1185C22⋊C4—46no—
1186C22⋊C4—43no—
1187C22⋊C4—43no—
1188C22⋊C4C2×#4114yes—
1189C22⋊C4C2×#4114yes—
1190C22⋊C4C2×#4114yescomplemented
1191C22⋊C4C2×#4114yescomplemented
1192C42—26no—
1193C42—26no—
1194C42—26no—
1195C42—26no—
1196C42—26no—
1197C42—26no—
1198C42—26no—
1199C42—26no—
1200C42—26no—
1201C42—26no—
1202C42—26no—
1203C42—26no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—43no—
1208C42—43no—
1209C42—43no—
1210C42—43no—
1211C42—43no—
1212C42—43no—
1213C42—41no—
1214C42—43no—
1215C42—43no—
1216C42—43no—
1217C42C2×#4114yescomplemented
1218C23—23no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—23no—
1224C23—23no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—23no—
1230C23—23no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—23no—
1235C23—21no—
1236C23—23no—
1237C23—23no—
1238C23—23no—
1239C23—23no—
1240C23—23no—
1241C23—23no—
1242C23—23no—
1243C23—23no—
1244C23—23no—
1245C23—23no—
1246C23—23no—
1247C23—23no—
1248C23—23no—
1249C23—23no—
1250C23—412no—
1251C23—412no—
1252C23—86no—
1253C23—86no—
1254C23—86no—
1255C23—86no—
1256C23—86no—
1257C23C22×#4112yes—
1258C23C22×#4116yes—
1259C23C22×#4112yes—
1260C23C2611yescharacteristic
1261Q8—44no—
1262Q8—412no—
1263Q8—412no—
1264Q8—166no—
1265Q8#538116yescomplemented
1266D4—224no—
1267D4—44no—
1268D4—412no—
1269D4—412no—
1270D4—424no—
1271D4—412no—
1272D4—412no—
1273D4—86no—
1274D4—86no—
1275D4—86no—
1276D4—86no—
1277D4—812no—
1278D4—166no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—224no—
1294C2×C4—21no—
1295C2×C4—23no—
1296C2×C4—23no—
1297C2×C4—23no—
1298C2×C4—23no—
1299C2×C4—21no—
1300C2×C4—23no—
1301C2×C4—23no—
1302C2×C4—23no—
1303C2×C4—23no—
1304C2×C4—21no—
1305C2×C4—23no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—23no—
1310C2×C4—23no—
1311C2×C4—23no—
1312C2×C4—23no—
1313C2×C4—23no—
1314C2×C4—23no—
1315C2×C4—23no—
1316C2×C4—23no—
1317C2×C4—21no—
1318C2×C4—23no—
1319C2×C4—21no—
1320C2×C4—23no—
1321C2×C4—21no—
1322C2×C4—23no—
1323C2×C4—21no—
1324C2×C4—23no—
1325C2×C4—23no—
1326C2×C4—23no—
1327C2×C4—23no—
1328C2×C4—23no—
1329C2×C4—21no—
1330C2×C4—23no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—23no—
1335C2×C4—23no—
1336C2×C4—23no—
1337C2×C4—23no—
1338C2×C4—23no—
1339C2×C4—23no—
1340C2×C4—23no—
1341C2×C4—21no—
1342C2×C4—23no—
1343C2×C4—21no—
1344C2×C4—23no—
1345C2×C4—21no—
1346C2×C4—23no—
1347C2×C4—21no—
1348C2×C4—44no—
1349C2×C4—44no—
1350C2×C4—412no—
1351C2×C4—412no—
1352C2×C4—412no—
1353C2×C4—412no—
1354C2×C4—412no—
1355C2×C4—412no—
1356C2×C4—86no—
1357C2×C4—86no—
1358C2×C4—86no—
1359C2×C4—86no—
1360C2×C4—86no—
1361C2×C4—86no—
1362C2×C4—86no—
1363C2×C4C22×#4112yes—
1364C2×C4C22×#4112yes—
1365C2×C4C22×#4112yes—
1366C2×C4C22×#4112yes—
1367C2×C4C22×#4112yes—
1368C2×C4C22×#4112yes—
1369C2×C4C22×#4116yes—
1370C2×C4C2×H(5,𝔽2)16yes—
1371C2×C4C2×H(5,𝔽2)16yes—
1372C2×C4#58512yes—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—26no—
1378C22—26no—
1379C22—22no—
1380C22—26no—
1381C22—22no—
1382C22—43no—
1383C22—43no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—43no—
1388C22—41no—
1389C22—43no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—43no—
1395C22—43no—
1396C22—43no—
1397C22—43no—
1398C22—43no—
1399C22—43no—
1400C22—43no—
1401C22—43no—
1402C22—43no—
1403C22—43no—
1404C22—43no—
1405C22—43no—
1406C22—43no—
1407C22—43no—
1408C22—824no—
1409C22C23×#4111yescharacteristic
1410C22C23×#4111yescharacteristic
1411C22C22×H(5,𝔽2)11yescharacteristic
1412C22C22×H(5,𝔽2)11yescharacteristic
1413C22C2×#58511yescharacteristic
1414C22H(7,𝔽2)11yescharacteristic
1415C222−1+611yescharacteristic
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—22no—
1423C4—43no—
1424C4—43no—
1425C4—43no—
1426C4—43no—
1427C4—41no—
1428C4—43no—
1429C4—41no—
1430C4—43no—
1431C4—41no—
1432C4—41no—
1433C4—43no—
1434C4—43no—
1435C4—43no—
1436C4—41no—
1437C4—41no—
1438C4—43no—
1439C4—43no—
1440C4—43no—
1441C4C2×#538112yes—
1442C2—42no—
1443C2—46no—
1444C2—42no—
1445C2—83no—
1446C2—83no—
1447C2C22×#53811yescharacteristic
1448C2#41211yescharacteristic
1449C2#6285711yescharacteristic
1450C2#6289711yescharacteristic
1451C2#6292311yescharacteristic
1452C2#6298411yescharacteristic
1453C2#6298611yescharacteristic
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. #40173C2semidirect
2. #40145C2semidirect
3. #40081C2semidirect
4. #40049C2semidirect
5. #40033C2semidirect
6. #40007C2semidirect
7. #39933C2semidirect
8. #39911C2semidirect
9. #39532C2semidirect
10. #39396C2semidirect
11. #39020C2semidirect
12. #39004C2semidirect
13. #36585C2semidirect
14. Q8×#124C2semidirect
15. #36483C2semidirect
16. #36457C2semidirect
17. #36456C2semidirect
18. #36448C2semidirect
19. #36434C2semidirect
20. #36432C2semidirect
21. #36430C2semidirect
22. #36430C2semidirect
23. #36429C2semidirect
24. #36428C2semidirect
25. #35080C2semidirect
26. #35046C2semidirect
27. #35044C2semidirect
28. C4×#550C2semidirect
29. C4×#548C2semidirect
30. C22⋊C4×#41C2semidirect
31. C4×#538C2semidirect
33. C2×Q82C22semidirect
40. C2×#548C22semidirect
44. C2×C4×#41C22semidirect
45. C22×C4×Q8C22semidirect
46. #2863C22semidirect
47. #2862C22semidirect
48. #2860C22semidirect
49. #2858C22semidirect
50. #2857C22semidirect
51. #2855C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
58. #2778C22semidirect
59. #2765C22semidirect
60. #2761C22semidirect
61. #2760C22semidirect
62. #2753C22semidirect
63. #2751C22semidirect
64. #2749C22semidirect
65. #2741C22semidirect
67. #2730C22semidirect
68. #2730C22semidirect
69. #2703C22semidirect
70. #2696C22semidirect
75. #2653C22semidirect
76. #2649C22semidirect
77. #2648C22semidirect
78. #2636C22semidirect
79. #2631C22semidirect
80. #2597C22semidirect
81. #2589C22semidirect
82. #2576C22semidirect
83. #2568C22semidirect
85. #2563C22semidirect
86. #2563C22semidirect
87. #2557C22semidirect
88. #2548C22semidirect
89. #2545C22semidirect
90. #2544C22semidirect
91. #2544C22semidirect
92. #2538C22semidirect
94. #2535C22semidirect
95. #2535C22semidirect
96. #2518C22semidirect
97. #2514C22semidirect
98. #2514C22semidirect
99. #2513C22semidirect
100. #2513C22semidirect
101. #2513C22semidirect
102. #2511C22semidirect
103. #2510C22semidirect
104. #2501C22semidirect
105. #2499C22semidirect
109. #2494C22semidirect
110. #2494C22semidirect
111. #2494C22semidirect
114. #2492C22semidirect
115. #2492C22semidirect
116. #2491C22semidirect
117. #2491C22semidirect
118. #2491C22semidirect
119. #2491C22semidirect
120. #2486C22semidirect
123. #2459C22semidirect
124. #2459C22semidirect
125. #2456C22semidirect
126. #2452C22semidirect
127. #2452C22semidirect
128. #2450C22semidirect
129. #2448C22semidirect
130. #2448C22semidirect
131. #2447C22semidirect
132. #2447C22semidirect
133. #2439C22semidirect
134. #2439C22semidirect
141. #2429C22semidirect
142. #2428C22semidirect
143. #2428C22semidirect
144. #2427C22semidirect
145. #2427C22semidirect
147. #2423C22semidirect
148. #2423C22semidirect
152. #2417C22semidirect
154. #2415C22semidirect
155. #2415C22semidirect
156. #2414C22semidirect
157. #2414C22semidirect
164. #2367C22semidirect
165. #2366C22semidirect
166. #2363C22semidirect
167. #2363C22semidirect
168. #2362C22semidirect
169. #2361C22semidirect
170. #2354C22semidirect
171. #2352C22semidirect
172. #2351C22semidirect
173. #2351C22semidirect
174. #2351C22semidirect
175. #2351C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
184. #2341C22semidirect
185. #2341C22semidirect
190. Q8×C22⋊C4C22semidirect
191. Q8×C22⋊C4C22semidirect
197. #2337C22semidirect
198. #2337C22semidirect
200. #2335C22semidirect
202. #2334C22semidirect
204. #2333C22semidirect
205. #2329C22semidirect
206. #2325C22semidirect
209. #2318C22semidirect
210. #2318C22semidirect
212. C4×#127C22semidirect
214. C4×#126C22semidirect
216. C4×#124C22semidirect
217. C4×#124C22semidirect
218. C4×C22⋊Q8C22semidirect
219. C4×C22⋊Q8C22semidirect
221. C4×#123C22semidirect
223. C4×#121C22semidirect
224. C4×#121C22semidirect
225. C4×#121C22semidirect
226. C4×#121C22semidirect
227. C4×#121C22semidirect
233. C42×Q8C22semidirect
234. C42×Q8C22semidirect
235. C42×D4C22semidirect
236. C42×D4C22semidirect
712. #124#41semidirect
981. C2×Q8C2×#41semidirect
1190. C22⋊C4C2×#41semidirect
1191. C22⋊C4C2×#41semidirect
1217. C42C2×#41semidirect
1265. Q8#538semidirect

Maximal subgroups

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

subgroupindex
#401732
#401452
#400812
#400492
#400332
#400072
#399332
#399112
#395322
#393962
#390202
#390042
#365852
Q8×#1242
#364832
#364572
#364562
#364482
#364342
#364322
#364302
#364292
#364282
#350802
#350462
#350442
C4×#5502
C4×#5482
C22⋊C4×#412
C4×#5382