Finite Group Databasebeta

← #7665616

Subgroups — #7665616

Order 512.

5950 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40176C213yesmaximal, complemented
2#40140C213yesmaximal, complemented
3#40076C213yesmaximal, complemented
4#40044C213yesmaximal, complemented
5#40032C213yesmaximal, complemented
6#40006C213yesmaximal, complemented
7#39932C213yesmaximal, complemented
8#39910C213yesmaximal, complemented
9#39537C213yesmaximal, complemented
10#39401C213yesmaximal, complemented
11#39024C213yesmaximal, complemented
12#39009C213yesmaximal, complemented
13#36576C211yesmaximal, characteristic, complemented
14Q8×#123C211yesmaximal, characteristic, complemented
15#36467C211yesmaximal, characteristic, complemented
16#36467C211yesmaximal, characteristic, complemented
17#36458C211yesmaximal, characteristic, complemented
18#36448C211yesmaximal, characteristic, complemented
19#36445C211yesmaximal, characteristic, complemented
20#36444C211yesmaximal, characteristic, complemented
21#36433C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36428C211yesmaximal, characteristic, complemented
25#35080C213yesmaximal, complemented
26#35038C213yesmaximal, complemented
27#35036C213yesmaximal, complemented
28C4×#550C211yesmaximal, characteristic, complemented
29C4×#548C211yesmaximal, characteristic, complemented
30C22⋊C4×#41C211yesmaximal, characteristic, complemented
31C4×#538C213yesmaximal, complemented
32C23×#41C2211yescharacteristic
33C2×#557C2211yescharacteristic, 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#2861C2213yescomplemented
48#2861C2213yescomplemented
49#2860C2213yescomplemented
50#2857C2213yescomplemented
51#2857C2213yescomplemented
52#2856C2213yescomplemented
53#2855C2213yescomplemented
54#2854C2213yescomplemented
55#2850C2213yescomplemented
56#2848C2213yes—
57#2847C2213yes—
58#2797C2216yescomplemented
59#2778C2216yescomplemented
60#2778C2216yescomplemented
61#2771C2216yescomplemented
62#2761C2216yescomplemented
63#2756C2216yescomplemented
64#2756C2216yescomplemented
65#2749C2216yescomplemented
66#2743C2216yescomplemented
67#2735C2216yes—
68#2702C2216yescomplemented
69#2696C2216yescomplemented
70#2685C2216yes—
71#2685C2216yes—
72#2676C2216yescomplemented
73#2668C2216yes—
74#2653C2216yescomplemented
75#2649C2216yes—
76#2649C2216yescomplemented
77#2648C2216yescomplemented
78#2635C2216yescomplemented
79#2630C2216yescomplemented
80#2595C2216yescomplemented
81#2592C2213yescomplemented
82#2592C2213yescomplemented
83#2587C2216yescomplemented
84#2578C2216yescomplemented
85#2562C2213yes—
86#2562C2213yescomplemented
87#2559C2216yescomplemented
88#2548C2213yescomplemented
89#2547C2213yescomplemented
90#2544C2213yescomplemented
91#2542C2213yescomplemented
92#2538C2213yescomplemented
93#2538C2213yescomplemented
94#2537C2213yes—
95#2535C2213yescomplemented
96#2518C2216yescomplemented
97#2514C2213yescomplemented
98#2514C2213yescomplemented
99#2513C2213yescomplemented
100#2512C2213yescomplemented
101#2512C2213yescomplemented
102#2511C2213yescomplemented
103#2510C2216yescomplemented
104#2502C2213yescomplemented
105#2500C2213yescomplemented
106#2497C2213yescomplemented
107#2496C2213yes—
108#2496C2213yescomplemented
109#2495C2213yes—
110#2495C2213yescomplemented
111#2494C2213yes—
112#2492C2213yescomplemented
113#2492C2213yescomplemented
114#2491C2213yes—
115#2491C2213yescomplemented
116#2490C2213yes—
117#2490C2213yescomplemented
118#2489C2213yescomplemented
119#2489C2213yescomplemented
120#2487C2213yes—
121#2485C2213yescomplemented
122#2472C2216yes—
123#2467C2216yescomplemented
124#2467C2216yescomplemented
125#2456C2216yescomplemented
126#2454C2213yescomplemented
127#2454C2213yescomplemented
128#2450C2216yescomplemented
129#2446C2213yescomplemented
130#2446C2213yescomplemented
131#2445C2213yescomplemented
132#2445C2213yescomplemented
133#2441C2213yescomplemented
134#2441C2213yescomplemented
135#2435C2213yes—
136#2433C2213yes—
137#2432C2213yes—
138#2432C2213yes—
139#2431C2213yes—
140#2431C2213yes—
141#2428C2213yescomplemented
142#2427C2213yes—
143#2427C2213yescomplemented
144#2427C2213yescomplemented
145#2426C2213yescomplemented
146#2426C2213yescomplemented
147#2423C2213yes—
148#2423C2213yes—
149#2422C2213yescomplemented
150#2420C2213yescomplemented
151#2418C2216yes—
152#2416C2213yescomplemented
153#2416C2213yescomplemented
154#2415C2213yes—
155#2415C2213yescomplemented
156#2415C2213yescomplemented
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
174Q8×C4⋊C4C2211yescharacteristic, complemented
175Q8×C4⋊C4C2211yescharacteristic, 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#2337C2213yes—
197#2337C2213yescomplemented
198#2335C2211yescharacteristic
199#2335C2216yescomplemented
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—
250#557—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×#127C2313yes—
262C2×#127C2313yes—
263C2×#126C2313yes—
264C2×#126C2313yes—
265C2×#126C2316yes—
266C2×#125C2313yes—
267C2×#125C2313yes—
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2313yes—
273C2×#124C2313yes—
274C2×#123C2313yes—
275C2×#123C2316yes—
276C2×#123C2311yescharacteristic
277C2×C22⋊Q8C2313yes—
278C2×C22⋊Q8C2313yes—
279C2×C22⋊Q8C2313yes—
280C2×C22⋊Q8C2313yes—
281C2×C22⋊Q8C2313yes—
282C2×C22⋊Q8C2313yes—
283C2×C22⋊Q8C2313yes—
284C2×C22⋊Q8C2316yes—
285C2×#121C2313yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2316yes—
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#400C2316yes—
347#400C2316yes—
348#400C2316yes—
349#400C2316yes—
350#400C2316yes—
351#400C2316yes—
352#399C2316yes—
353#399C2316yes—
354#399C2316yes—
355#398C2316yes—
356#398C2316yes—
357#397C2316yes—
358#397C2316yes—
359#397C2316yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#397C2316yes—
364#397C2316yes—
365#397C2316yes—
366#396C2316yes—
367#396C2316yes—
368#396C2316yes—
369#396C2316yes—
370#396C2316yes—
371#394C2316yes—
372#394C2316yes—
373#394C2316yes—
374#394C2316yes—
375#394C2316yes—
376#394C2316yes—
377#394C2316yes—
378#394C2316yes—
379#394C2316yes—
380#394C2316yes—
381#394C2316yes—
382#394C2316yes—
383#394C2316yes—
384#394C2316yes—
385#394C2316yes—
386#393C2316yes—
387#393C2316yes—
388#392C2316yes—
389#392C2316yes—
390#392C2316yes—
391#392C2316yes—
392#392C2316yes—
393#391C2313yes—
394#391C2313yes—
395#391C2313yes—
396#391C2313yes—
397#391C2313yes—
398#391C2313yes—
399#391C2313yes—
400#391C2313yes—
401#391C2313yes—
402#391C2313yes—
403#391C2313yes—
404#391C2313yes—
405#391C2313yes—
406#391C2313yes—
407#391C2313yes—
408#390C2313yes—
409#390C2313yes—
410#390C2316yes—
411#390C2316yes—
412#390C2311yescharacteristic
413#390C2313yes—
414#390C2313yes—
415#390C2313yes—
416#390C2313yes—
417#390C2316yes—
418#390C2313yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2316yes—
425#390C2313yes—
426#390C2313yes—
427#390C2313yes—
428#390C2313yes—
429#390C2313yes—
430#390C2313yes—
431#390C2313yes—
432#390C2313yes—
433#389C2313yes—
434#389C2313yes—
435#389C2313yes—
436#389C2316yes—
437#389C2316yes—
438#389C2311yescharacteristic
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#388C2313yes—
458#388C2316yes—
459#388C2313yes—
460#388C2316yes—
461#388C2311yescharacteristic
462#388C2313yes—
463#388C2313yes—
464#388C2313yes—
465#388C2313yes—
466#388C2313yes—
467#388C2313yes—
468#388C2313yes—
469#388C2313yes—
470#388C2313yes—
471#388C2313yes—
472#388C2313yes—
473#388C2316yes—
474#388C2311yescharacteristic
475#388C2313yes—
476#388C2316yes—
477#388C2316yes—
478#388C2311yescharacteristic
479#388C2313yes—
480#388C2316yes—
481#388C2316yes—
482#388C2316yes—
483#388C2316yes—
484#388C2316yes—
485#388C2316yes—
486#388C2316yes—
487#388C2316yes—
488#388C2316yes—
489#388C2316yes—
490#387C2313yes—
491#387C2313yes—
492#387C2313yes—
493#387C2311yescharacteristic
494#387C2313yes—
495#387C2313yes—
496#387C2313yes—
497#387C2313yes—
498#387C2313yes—
499#387C2316yes—
500#387C2311yescharacteristic
501#387C2313yes—
502#387C2316yes—
503#387C2313yes—
504#387C2316yes—
505#387C2316yes—
506#387C2316yes—
507#386C2313yes—
508#386C2313yes—
509#386C2313yes—
510#386C2313yes—
511#386C2313yes—
512#386C2313yes—
513#386C2313yes—
514#386C2313yes—
515#386C2316yes—
516#386C2316yes—
517#386C2313yes—
518#386C2313yes—
519#386C2311yescharacteristic
520#386C2313yes—
521#386C2313yes—
522#386C2313yes—
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#385C2313yes—
539#385C2313yes—
540#385C2313yes—
541#385C2316yes—
542#385C2311yescharacteristic
543#385C2313yes—
544#385C2316yes—
545#385C2316yes—
546#385C2316yes—
547#384C2313yes—
548#384C2313yes—
549#384C2313yes—
550#384C2313yes—
551#383C2313yes—
552#383C2313yes—
553#383C2316yes—
554#382C2313yes—
555#382C2313yes—
556#382C2313yes—
557#382C2313yes—
558#381C2313yes—
559#381C2313yes—
560#381C2316yes—
561#380C2313yes—
562#380C2313yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2311yescharacteristic
572#380C2313yes—
573#380C2316yes—
574#380C2316yes—
575#380C2313yes—
576#380C2313yes—
577#380C2313yes—
578#380C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2316yes—
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⋊C4C2311yescharacteristic
596C4×C4⋊C4C2313yes—
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⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2316yes—
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×Q8C2413yes—
660C22×Q8C2411yescharacteristic
661C22×D4—212no—
662C22×D4—46no—
663C22×D4—46no—
664C22×D4C2413yes—
665C22×D4C2413yes—
666C22×D4C2413yes—
667C22×D4C2413yes—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2416yes—
672C22×D4C2413yes—
673C22×D4C2413yes—
674C22×D4C2416yes—
675C22×D4C2416yes—
676C22×D4C2411yescharacteristic
677C23×C4—212no—
678C23×C4—46no—
679C23×C4—46no—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2413yes—
683C23×C4C2413yes—
684C23×C4C2413yes—
685C23×C4C2413yes—
686C23×C4C2413yes—
687C23×C4C2413yes—
688C23×C4C2413yes—
689C23×C4C2413yes—
690C23×C4C2411yescharacteristic
691C23×C4C2413yes—
692C23×C4C2413yes—
693C23×C4C2413yes—
694C23×C4C2413yes—
695C23×C4C2411yescharacteristic
696C4⋊Q8—46no—
697C4⋊Q8—46no—
698#127—212no—
699#127—46no—
700#126—212no—
701#126—212no—
702#126—86no—
703#125—46no—
704#125—46no—
705#124—212no—
706#124—212no—
707#124—212no—
708#124—46no—
709#124—46no—
710#124—46no—
711#123—212no—
712#123—412no—
713#123#4118yescomplemented
714C22⋊Q8—212no—
715C22⋊Q8—212no—
716C22⋊Q8—46no—
717C22⋊Q8—46no—
718C22⋊Q8—46no—
719C22⋊Q8—46no—
720C22⋊Q8—46no—
721C22⋊Q8—86no—
722#121—212no—
723#121—212no—
724#121—212no—
725#121—212no—
726#121—212no—
727#121—212no—
728#121—46no—
729#121—46no—
730#121—46no—
731#121—46no—
732#121—46no—
733#121—86no—
734#120—212no—
735#120—212no—
736#120—86no—
737C4×Q8—24no—
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—46no—
748C4×Q8—46no—
749C4×Q8—46no—
750C4×D4—212no—
751C4×D4—212no—
752C4×D4—212no—
753C4×D4—212no—
754C4×D4—46no—
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—86no—
768#117—46no—
769#117—46no—
770#117—46no—
771C2×C4⋊C4—46no—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2413yes—
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⋊C4C2416yes—
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2416yes—
795C2×C4⋊C4C2413yes—
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2413yes—
800C2×C4⋊C4C2416yes—
801C2×C4⋊C4C2416yes—
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2416yes—
804C2×C4⋊C4C2416yes—
805C2×C4⋊C4C2416yes—
806C2×C4⋊C4C2413yes—
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C22⋊C4—212no—
812C2×C22⋊C4—46no—
813C2×C22⋊C4C2411yescharacteristic
814C2×C22⋊C4C2413yes—
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2413yes—
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2411yescharacteristic
819C2×C22⋊C4C2411yescharacteristic
820C2×C22⋊C4C2413yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2416yes—
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2413yes—
834C2×C22⋊C4C2416yes—
835C2×C22⋊C4C2416yes—
836C2×C22⋊C4C2416yes—
837C2×C22⋊C4C2411yescharacteristic
838C2×C22⋊C4C2411yescharacteristic
839C2×C22⋊C4C2411yescharacteristic
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2416yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C22⋊C4C2416yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2413yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2416yes—
854C2×C22⋊C4C2416yes—
855C2×C22⋊C4C2416yes—
856C2×C22⋊C4C2416yes—
857C2×C22⋊C4C2416yes—
858C2×C22⋊C4C2416yes—
859C2×C22⋊C4C2416yes—
860C2×C22⋊C4C2416yes—
861C2×C22⋊C4C2413yes—
862C2×C22⋊C4C2411yescharacteristic
863C2×C22⋊C4C2416yes—
864C2×C22⋊C4C2413yes—
865C2×C22⋊C4C2413yes—
866C2×C22⋊C4C2413yes—
867C2×C22⋊C4C2411yescharacteristic
868C2×C22⋊C4C2411yescharacteristic
869C2×C22⋊C4C2411yescharacteristic
870C2×C42—46no—
871C2×C42—46no—
872C2×C42—46no—
873C2×C42—46no—
874C2×C42C2411yescharacteristic
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×C42C2413yes—
893C2×C42C2413yes—
894C2×C42C2413yes—
895C2×C42C2411yescharacteristic
896C2×C42C2413yes—
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900#95C2411yescharacteristic
901#95C2411yescharacteristic
902#95C2413yes—
903#95C2413yes—
904#95C2413yes—
905#95C2413yes—
906#95C2413yes—
907#95C2413yes—
908#95C2411yescharacteristic
909#95C2411yescharacteristic
910#95C2411yescharacteristic
911#95C2411yescharacteristic
912#95C2411yescharacteristic
913#95C2411yescharacteristic
914#95C2411yescharacteristic
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2416yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2416yes—
928#95C2416yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2416yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2411yescharacteristic
937#95C2416yes—
938#95C2416yes—
939#95C2413yes—
940#95C2413yes—
941#95C2413yes—
942#95C2413yes—
943#95C2413yes—
944#95C2413yes—
945#95C2413yes—
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—26no—
974C2×Q8—43no—
975C2×Q8—43no—
976C2×Q8—416no—
977C2×Q8—416no—
978C2×Q8C2×#4114yes—
979C2×Q8H(5,𝔽2)14yes—
980C2×Q8H(5,𝔽2)14yes—
981C2×D4—26no—
982C2×D4—26no—
983C2×D4—26no—
984C2×D4—212no—
985C2×D4—26no—
986C2×D4—26no—
987C2×D4—26no—
988C2×D4—212no—
989C2×D4—26no—
990C2×D4—26no—
991C2×D4—26no—
992C2×D4—26no—
993C2×D4—26no—
994C2×D4—26no—
995C2×D4—26no—
996C2×D4—26no—
997C2×D4—26no—
998C2×D4—26no—
999C2×D4—41no—
1000C2×D4—43no—
1001C2×D4—43no—
1002C2×D4—46no—
1003C2×D4—46no—
1004C2×D4—41no—
1005C2×D4—43no—
1006C2×D4—43no—
1007C2×D4—43no—
1008C2×D4—43no—
1009C2×D4—46no—
1010C2×D4—43no—
1011C2×D4—43no—
1012C2×D4—43no—
1013C2×D4—43no—
1014C2×D4—46no—
1015C2×D4—46no—
1016C2×D4—46no—
1017C2×D4—46no—
1018C2×D4—448no—
1019C2×D4C2×#41112yes—
1020C2×D4C2×#4114yes—
1021C22×C4—26no—
1022C22×C4—26no—
1023C22×C4—26no—
1024C22×C4—26no—
1025C22×C4—26no—
1026C22×C4—22no—
1027C22×C4—26no—
1028C22×C4—26no—
1029C22×C4—26no—
1030C22×C4—26no—
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—26no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—43no—
1047C22×C4—43no—
1048C22×C4—43no—
1049C22×C4—43no—
1050C22×C4—41no—
1051C22×C4—43no—
1052C22×C4—43no—
1053C22×C4—43no—
1054C22×C4—43no—
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—448no—
1068C22×C4C2×#41112yes—
1069C22×C4C2×#4114yescomplemented
1070C22×C4C2511yescharacteristic
1071C22×C4C2513yes—
1072C22×C4C2511yescharacteristic
1073C22×C4C2513yes—
1074C22×C4C2513yes—
1075C22×C4C2513yes—
1076C22×C4C2511yescharacteristic
1077C22×C4C2513yes—
1078C22×C4C2513yes—
1079C22×C4C2511yescharacteristic
1080C22×C4C2511yescharacteristic
1081C22×C4C2513yes—
1082C22×C4C2511yescharacteristic
1083C22×C4C2513yes—
1084C22×C4C2513yes—
1085C22×C4C2513yes—
1086C22×C4C2513yes—
1087C22×C4C2513yes—
1088C22×C4C2511yescharacteristic
1089C22×C4C2511yescharacteristic
1090C22×C4C2511yescharacteristic
1091C22×C4C2511yescharacteristic
1092C22×C4C2511yescharacteristic
1093C22×C4C2511yescharacteristic
1094C22×C4C2511yescharacteristic
1095C22×C4C2513yes—
1096C4⋊C4—22no—
1097C4⋊C4—26no—
1098C4⋊C4—26no—
1099C4⋊C4—26no—
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—46no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—43no—
1117C4⋊C4—41no—
1118C4⋊C4—43no—
1119C4⋊C4—43no—
1120C4⋊C4—43no—
1121C4⋊C4—43no—
1122C4⋊C4—46no—
1123C4⋊C4—41no—
1124C4⋊C4—43no—
1125C4⋊C4—43no—
1126C4⋊C4—46no—
1127C4⋊C4—46no—
1128C4⋊C4—43no—
1129C4⋊C4—46no—
1130C4⋊C4—46no—
1131C4⋊C4—46no—
1132C4⋊C4—43no—
1133C4⋊C4C2×#4114yescomplemented
1134C4⋊C4C2×#4114yescomplemented
1135C22⋊C4—26no—
1136C22⋊C4—26no—
1137C22⋊C4—26no—
1138C22⋊C4—26no—
1139C22⋊C4—26no—
1140C22⋊C4—212no—
1141C22⋊C4—26no—
1142C22⋊C4—26no—
1143C22⋊C4—22no—
1144C22⋊C4—26no—
1145C22⋊C4—26no—
1146C22⋊C4—26no—
1147C22⋊C4—26no—
1148C22⋊C4—26no—
1149C22⋊C4—26no—
1150C22⋊C4—26no—
1151C22⋊C4—22no—
1152C22⋊C4—26no—
1153C22⋊C4—22no—
1154C22⋊C4—43no—
1155C22⋊C4—43no—
1156C22⋊C4—41no—
1157C22⋊C4—43no—
1158C22⋊C4—43no—
1159C22⋊C4—46no—
1160C22⋊C4—43no—
1161C22⋊C4—46no—
1162C22⋊C4—46no—
1163C22⋊C4—46no—
1164C22⋊C4—43no—
1165C22⋊C4—43no—
1166C22⋊C4—43no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—43no—
1171C22⋊C4—43no—
1172C22⋊C4—43no—
1173C22⋊C4—43no—
1174C22⋊C4—43no—
1175C22⋊C4—43no—
1176C22⋊C4—43no—
1177C22⋊C4—46no—
1178C22⋊C4—46no—
1179C22⋊C4—43no—
1180C22⋊C4—46no—
1181C22⋊C4—46no—
1182C22⋊C4—46no—
1183C22⋊C4—46no—
1184C22⋊C4—46no—
1185C22⋊C4—46no—
1186C22⋊C4—46no—
1187C22⋊C4—46no—
1188C22⋊C4—43no—
1189C22⋊C4C2×#4114yes—
1190C22⋊C4C2×#4114yes—
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—22no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—43no—
1209C42—43no—
1210C42—43no—
1211C42—43no—
1212C42—43no—
1213C42—41no—
1214C42—43no—
1215C42—43no—
1216C42—43no—
1217C42—43no—
1218C23—23no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—23no—
1225C23—23no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—23no—
1230C23—23no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—23no—
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—412no—
1262Q8—412no—
1263Q8—86no—
1264Q8#538116yescomplemented
1265D4—224no—
1266D4—44no—
1267D4—412no—
1268D4—412no—
1269D4—424no—
1270D4—412no—
1271D4—412no—
1272D4—86no—
1273D4—86no—
1274D4—86no—
1275D4—86no—
1276D4—812no—
1277D4—166no—
1278C2×C4—21no—
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—224no—
1293C2×C4—21no—
1294C2×C4—23no—
1295C2×C4—23no—
1296C2×C4—23no—
1297C2×C4—23no—
1298C2×C4—23no—
1299C2×C4—23no—
1300C2×C4—21no—
1301C2×C4—23no—
1302C2×C4—23no—
1303C2×C4—21no—
1304C2×C4—23no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—23no—
1309C2×C4—23no—
1310C2×C4—23no—
1311C2×C4—23no—
1312C2×C4—23no—
1313C2×C4—23no—
1314C2×C4—23no—
1315C2×C4—23no—
1316C2×C4—21no—
1317C2×C4—23no—
1318C2×C4—23no—
1319C2×C4—21no—
1320C2×C4—23no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—23no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—23no—
1327C2×C4—23no—
1328C2×C4—23no—
1329C2×C4—21no—
1330C2×C4—23no—
1331C2×C4—23no—
1332C2×C4—21no—
1333C2×C4—23no—
1334C2×C4—23no—
1335C2×C4—23no—
1336C2×C4—23no—
1337C2×C4—23no—
1338C2×C4—23no—
1339C2×C4—23no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—23no—
1344C2×C4—23no—
1345C2×C4—23no—
1346C2×C4—21no—
1347C2×C4—44no—
1348C2×C4—44no—
1349C2×C4—412no—
1350C2×C4—412no—
1351C2×C4—412no—
1352C2×C4—412no—
1353C2×C4—412no—
1354C2×C4—412no—
1355C2×C4—86no—
1356C2×C4—86no—
1357C2×C4—86no—
1358C2×C4—86no—
1359C2×C4—86no—
1360C2×C4—86no—
1361C2×C4—86no—
1362C2×C4C22×#4112yes—
1363C2×C4C22×#4112yes—
1364C2×C4C22×#4112yes—
1365C2×C4C22×#4112yes—
1366C2×C4C22×#4112yes—
1367C2×C4C22×#4112yes—
1368C2×C4C22×#4116yes—
1369C2×C4C2×H(5,𝔽2)16yes—
1370C2×C4C2×H(5,𝔽2)16yes—
1371C2×C4#58512yes—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—26no—
1377C22—26no—
1378C22—22no—
1379C22—26no—
1380C22—22no—
1381C22—43no—
1382C22—43no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—43no—
1387C22—41no—
1388C22—43no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—43no—
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—824no—
1408C22C23×#4111yescharacteristic
1409C22C23×#4111yescharacteristic
1410C22C22×H(5,𝔽2)11yescharacteristic
1411C22C22×H(5,𝔽2)11yescharacteristic
1412C22C2×#58511yescharacteristic
1413C22H(7,𝔽2)11yescharacteristic
1414C222−1+611yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—43no—
1423C4—43no—
1424C4—43no—
1425C4—43no—
1426C4—41no—
1427C4—43no—
1428C4—43no—
1429C4—43no—
1430C4—43no—
1431C4—41no—
1432C4—41no—
1433C4—43no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—43no—
1438C4—43no—
1439C4—43no—
1440C4C2×#538112yes—
1441C2—42no—
1442C2—46no—
1443C2—42no—
1444C2—83no—
1445C2—83no—
1446C2C22×#53811yescharacteristic
1447C2#41211yescharacteristic
1448C2#6285711yescharacteristic
1449C2#6289911yescharacteristic
1450C2#6292211yescharacteristic
1451C2#6298411yescharacteristic
1452C2#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. #40176C2semidirect
2. #40140C2semidirect
3. #40076C2semidirect
4. #40044C2semidirect
5. #40032C2semidirect
6. #40006C2semidirect
7. #39932C2semidirect
8. #39910C2semidirect
9. #39537C2semidirect
10. #39401C2semidirect
11. #39024C2semidirect
12. #39009C2semidirect
13. #36576C2semidirect
14. Q8×#123C2semidirect
15. #36467C2semidirect
16. #36467C2semidirect
17. #36458C2semidirect
18. #36448C2semidirect
19. #36445C2semidirect
20. #36444C2semidirect
21. #36433C2semidirect
22. #36430C2semidirect
23. #36429C2semidirect
24. #36428C2semidirect
25. #35080C2semidirect
26. #35038C2semidirect
27. #35036C2semidirect
28. C4×#550C2semidirect
29. C4×#548C2semidirect
30. C22⋊C4×#41C2semidirect
31. C4×#538C2semidirect
33. C2×#557C22semidirect
40. C2×#548C22semidirect
44. C2×C4×#41C22semidirect
45. C22×C4×Q8C22semidirect
46. #2863C22semidirect
47. #2861C22semidirect
48. #2861C22semidirect
49. #2860C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
58. #2797C22semidirect
59. #2778C22semidirect
60. #2778C22semidirect
61. #2771C22semidirect
62. #2761C22semidirect
63. #2756C22semidirect
64. #2756C22semidirect
65. #2749C22semidirect
66. #2743C22semidirect
68. #2702C22semidirect
69. #2696C22semidirect
72. #2676C22semidirect
74. #2653C22semidirect
76. #2649C22semidirect
77. #2648C22semidirect
78. #2635C22semidirect
79. #2630C22semidirect
80. #2595C22semidirect
81. #2592C22semidirect
82. #2592C22semidirect
83. #2587C22semidirect
84. #2578C22semidirect
86. #2562C22semidirect
87. #2559C22semidirect
88. #2548C22semidirect
89. #2547C22semidirect
90. #2544C22semidirect
91. #2542C22semidirect
92. #2538C22semidirect
93. #2538C22semidirect
95. #2535C22semidirect
96. #2518C22semidirect
97. #2514C22semidirect
98. #2514C22semidirect
99. #2513C22semidirect
100. #2512C22semidirect
101. #2512C22semidirect
102. #2511C22semidirect
103. #2510C22semidirect
104. #2502C22semidirect
105. #2500C22semidirect
106. #2497C22semidirect
108. #2496C22semidirect
110. #2495C22semidirect
112. #2492C22semidirect
113. #2492C22semidirect
115. #2491C22semidirect
117. #2490C22semidirect
118. #2489C22semidirect
119. #2489C22semidirect
121. #2485C22semidirect
123. #2467C22semidirect
124. #2467C22semidirect
125. #2456C22semidirect
126. #2454C22semidirect
127. #2454C22semidirect
128. #2450C22semidirect
129. #2446C22semidirect
130. #2446C22semidirect
131. #2445C22semidirect
132. #2445C22semidirect
133. #2441C22semidirect
134. #2441C22semidirect
141. #2428C22semidirect
143. #2427C22semidirect
144. #2427C22semidirect
145. #2426C22semidirect
146. #2426C22semidirect
149. #2422C22semidirect
150. #2420C22semidirect
152. #2416C22semidirect
153. #2416C22semidirect
155. #2415C22semidirect
156. #2415C22semidirect
157. #2414C22semidirect
164. #2367C22semidirect
165. #2366C22semidirect
166. #2363C22semidirect
167. #2363C22semidirect
168. #2362C22semidirect
169. #2361C22semidirect
170. #2354C22semidirect
171. #2352C22semidirect
172. #2351C22semidirect
173. #2351C22semidirect
174. Q8×C4⋊C4C22semidirect
175. Q8×C4⋊C4C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
184. #2341C22semidirect
185. #2341C22semidirect
190. Q8×C22⋊C4C22semidirect
191. Q8×C22⋊C4C22semidirect
197. #2337C22semidirect
199. #2335C22semidirect
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
713. #123#41semidirect
1069. C22×C4C2×#41semidirect
1133. C4⋊C4C2×#41semidirect
1134. C4⋊C4C2×#41semidirect
1191. C22⋊C4C2×#41semidirect
1264. Q8#538semidirect

Maximal subgroups

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

subgroupindex
#401762
#401402
#400762
#400442
#400322
#400062
#399322
#399102
#395372
#394012
#390242
#390092
#365762
Q8×#1232
#364672
#364582
#364482
#364452
#364442
#364332
#364302
#364292
#364282
#350802
#350382
#350362
C4×#5502
C4×#5482
C22⋊C4×#412
C4×#5382