Finite Group Databasebeta

← #8323644

Subgroups — #8323644

Order 512.

4816 conjugacy classes of subgroups.

The subgroup lattice has 1487 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59148C212yesmaximal, complemented
2#59103C212yesmaximal, complemented
3#59075C212yesmaximal, complemented
4#58749C212yesmaximal, complemented
5#58188C214yesmaximal, complemented
6#56118C214yesmaximal, complemented
7#55613C212yesmaximal, complemented
8#55157C214yesmaximal, complemented
9#53041C212yesmaximal, complemented
10#52411C212yesmaximal, complemented
11#52246C211yesmaximal, characteristic, complemented
12#51183C214yesmaximal, complemented
13#48049C214yesmaximal, complemented
14#45512C212yesmaximal, complemented
15#45171C212yesmaximal, complemented
16#43046C212yesmaximal, complemented
17#42961C211yesmaximal, characteristic, complemented
18#42807C211yesmaximal, characteristic, complemented
19#42721C212yesmaximal, complemented
20#42705C212yesmaximal, complemented
21#40876C214yesmaximal, complemented
22#40100C212yesmaximal, complemented
23#39056C212yesmaximal, complemented
24#38906C212yesmaximal, complemented
25#37676C212yesmaximal, complemented
26#37542C211yesmaximal, characteristic, complemented
27#35846C211yesmaximal, characteristic, complemented
28#35728C211yesmaximal, characteristic
29#35619C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic
31C2×D4×Q8C2212yescomplemented
32C2×#546C2212yes—
33C2×D42C2211yescharacteristic
34C2×#536C2211yescharacteristic
35C2×#529C2212yescomplemented
36C22×#124C2212yes—
37C2×#520C2211yescharacteristic
38#2857C2212yescomplemented
39#2854C2212yes—
40#2841C2214yescomplemented
41#2838C2214yescomplemented
42#2838C2214yescomplemented
43#2837C2214yescomplemented
44#2834C2214yescomplemented
45#2832C2212yescomplemented
46#2827C2214yescomplemented
47#2823C2212yescomplemented
48#2823C2212yescomplemented
49#2817C2212yescomplemented
50#2814C2214yescomplemented
51#2796C2214yescomplemented
52#2794C2211yescharacteristic, complemented
53#2790C2212yescomplemented
54#2789C2211yescharacteristic, complemented
55#2788C2214yescomplemented
56#2787C2214yescomplemented
57#2787C2214yescomplemented
58#2786C2214yescomplemented
59#2783C2214yescomplemented
60#2782C2211yescharacteristic
61#2782C2214yescomplemented
62#2780C2214yescomplemented
63#2774C2214yescomplemented
64#2772C2214yescomplemented
65#2772C2214yescomplemented
66#2760C2212yescomplemented
67#2752C2212yescomplemented
68#2750C2214yescomplemented
69#2750C2214yescomplemented
70#2749C2214yescomplemented
71#2748C2214yescomplemented
72#2747C2214yescomplemented
73#2746C2212yescomplemented
74#2746C2214yescomplemented
75#2746C2214yescomplemented
76#2745C2214yescomplemented
77#2744C2212yescomplemented
78#2743C2214yescomplemented
79#2743C2214yescomplemented
80#2742C2214yescomplemented
81#2741C2214yescomplemented
82#2740C2214yescomplemented
83#2739C2212yescomplemented
84#2739C2214yescomplemented
85#2739C2214yescomplemented
86#2738C2214yescomplemented
87#2735C2214yescomplemented
88#2734C2212yescomplemented
89#2729C2214yescomplemented
90#2728C2212yes—
91#2718C2214yescomplemented
92#2716C2214yescomplemented
93#2715C2214yescomplemented
94#2708C2214yescomplemented
95#2708C2214yescomplemented
96#2702C2214yescomplemented
97#2700C2214yescomplemented
98#2697C2214yescomplemented
99#2695C2214yes—
100#2693C2212yes—
101#2687C2212yescomplemented
102#2686C2214yes—
103#2686C2214yes—
104#2684C2214yes—
105#2684C2214yes—
106#2680C2211yescharacteristic
107#2674C2214yescomplemented
108#2674C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2666C2214yescomplemented
112#2658C2212yescomplemented
113#2653C2214yescomplemented
114#2652C2214yescomplemented
115#2651C2214yescomplemented
116#2649C2214yescomplemented
117#2646C2214yescomplemented
118#2645C2212yescomplemented
119#2638C2212yescomplemented
120#2638C2214yescomplemented
121#2630C2214yescomplemented
122#2630C2214yescomplemented
123#2622C2214yes—
124#2621C2211yescharacteristic, complemented
125#2620C2212yescomplemented
126#2619C2211yescharacteristic
127#2618C2212yes—
128#2609C2212yescomplemented
129#2609C2212yescomplemented
130#2600C2212yes—
131#2597C2214yescomplemented
132#2592C2212yescomplemented
133#2583C2212yescomplemented
134#2581C2211yescharacteristic, complemented
135#2578C2214yes—
136#2576C2214yescomplemented
137#2576C2214yescomplemented
138#2574C2214yescomplemented
139#2572C2212yescomplemented
140#2566C2212yescomplemented
141#2565C2212yescomplemented
142#2559C2214yescomplemented
143#2553C2214yescomplemented
144#2548C2211yescharacteristic
145#2547C2212yes—
146#2547C2212yescomplemented
147#2546C2211yescharacteristic, complemented
148#2545C2212yescomplemented
149#2545C2212yescomplemented
150#2545C2212yescomplemented
151#2544C2212yes—
152#2544C2212yes—
153#2543C2212yes—
154#2536C2211yescharacteristic
155#2521C2214yescomplemented
156#2516C2214yescomplemented
157#2514C2212yescomplemented
158#2507C2212yescomplemented
159#2503C2212yescomplemented
160#2502C2212yescomplemented
161#2499C2212yescomplemented
162#2499C2212yescomplemented
163#2497C2214yescomplemented
164#2496C2212yescomplemented
165#2493C2214yescomplemented
166#2489C2212yescomplemented
167#2489C2212yescomplemented
168#2488C2214yescomplemented
169#2484C2212yescomplemented
170#2483C2214yescomplemented
171#2480C2214yescomplemented
172#2480C2214yescomplemented
173#2480C2214yescomplemented
174#2480C2214yescomplemented
175#2480C2214yescomplemented
176#2478C2214yescomplemented
177#2477C2214yescomplemented
178#2474C2214yescomplemented
179#2470C2214yescomplemented
180#2466C2214yescomplemented
181#2454C2212yes—
182#2453C2212yescomplemented
183#2450C2214yescomplemented
184#2448C2212yescomplemented
185#2447C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2446C2212yescomplemented
191#2446C2212yescomplemented
192#2446C2212yescomplemented
193#2446C2212yescomplemented
194#2439C2214yescomplemented
195#2437C2214yescomplemented
196#2437C2214yescomplemented
197#2437C2214yescomplemented
198#2436C2212yes—
199#2436C2212yescomplemented
200#2435C2212yes—
201#2435C2212yes—
202#2434C2212yescomplemented
203#2434C2212yescomplemented
204#2432C2212yes—
205#2429C2212yescomplemented
206#2427C2212yes—
207#2427C2212yes—
208#2426C2212yes—
209#2425C2214yescomplemented
210#2424C2214yes—
211#2421C2212yescomplemented
212#2420C2214yescomplemented
213#2419C2214yescomplemented
214#2419C2214yescomplemented
215#2418C2214yescomplemented
216#2418C2214yescomplemented
217#2418C2214yescomplemented
218#2416C2212yes—
219#2415C2212yescomplemented
220#2412C2214yes—
221#2411C2214yes—
222#2409C2212yes—
223#2408C2212yes—
224#2405C2214yes—
225#2402C2212yescomplemented
226#2401C2212yescomplemented
227#2396C2211yescharacteristic, complemented
228#2395C2212yescomplemented
229#2392C2211yescharacteristic
230C2×#394C2212yes—
231#2376C2214yescomplemented
232#2367C2212yes—
233#2367C2212yescomplemented
234#2365C2212yescomplemented
235#2364C2214yescomplemented
236#2363C2212yescomplemented
237#2360C2212yescomplemented
238#2357C2211yescharacteristic
239#2349C2211yescharacteristic
240#2342C2214yescomplemented
241#2342C2214yescomplemented
242Q8×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2212yes—
244D4×C22⋊C4C2212yes—
245#2334C2214yescomplemented
246#2326C2212yes—
247#2319C2212yescomplemented
248#2317C2211yescharacteristic, complemented
249#2310C2211yescharacteristic, complemented
250#2308C2214yes—
251C4×C22⋊Q8C2212yescomplemented
252C4×C22⋊Q8C2212yescomplemented
253C4×#123C2212yes—
254C4×#123C2212yescomplemented
255#2297C2211yescharacteristic
256C2×#391C2211yescharacteristic, complemented
257#2290C2212yescomplemented
258#2285C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C23×Q8C2311yescharacteristic
261C23×Q8C2312yes—
262C23×D4C2312yes—
263C23×D4C2312yes—
264#556—44no—
265D4×Q8—48no—
266#546—48no—
267D42—44no—
268#536—44no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2314yes—
274C2×#127C2311yescharacteristic
275#529—48no—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#125C2312yes—
280C2×#124—48no—
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313#520—44no—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2311yescharacteristic
316C2×C4×Q8C2311yescharacteristic
317C2×C4×Q8C2312yes—
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2312yes—
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2312yes—
335C2×#117C2314yes—
336C2×#117C2312yes—
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2312yes—
339C22×C22⋊C4C2314yes—
340C22×C22⋊C4C2314yes—
341C22×C22⋊C4C2314yes—
342C22×C22⋊C4C2314yes—
343C22×C22⋊C4C2314yes—
344C22×C42C2311yescharacteristic
345C22×C42C2312yes—
346#401C2312yes—
347#401C2314yes—
348#401C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2311yescharacteristic
354#400C2314yes—
355#400C2314yes—
356#400C2312yes—
357#400C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2312yes—
361#400C2314yes—
362#400C2312yes—
363#400C2312yes—
364#400C2314yes—
365#400C2312yes—
366#400C2312yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2314yes—
376#399C2314yes—
377#399C2311yescharacteristic
378#398C2314yes—
379#398C2314yes—
380#398C2312yes—
381#398C2312yes—
382#398C2312yes—
383#398C2314yes—
384#398C2312yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#398C2311yescharacteristic
394#398C2312yes—
395#398C2314yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#397C2311yescharacteristic
400#397C2314yes—
401#397C2312yes—
402#397C2312yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2312yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2311yescharacteristic
449#395C2312yes—
450#395C2314yes—
451#395C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2311yescharacteristic
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2311yescharacteristic
483#392C2311yescharacteristic
484#392C2312yes—
485#392C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2312yes—
622#385C2312yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2312yes—
645#384C2312yes—
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#384C2312yes—
649#383C2314yes—
650#382C2311yescharacteristic
651#382C2311yescharacteristic
652#382C2312yes—
653#382C2314yes—
654#382C2314yes—
655#382C2311yescharacteristic
656#382C2311yescharacteristic
657#381C2312yes—
658#381C2314yes—
659#381C2314yes—
660#381C2312yes—
661#381C2314yes—
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2312yes—
666#381C2312yes—
667#381C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#379C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C25C2414yes—
721C2×#41—24no—
722C2×#41—24no—
723C2×#41—42no—
724C22×Q8—24no—
725C22×Q8—44no—
726C22×Q8—42no—
727C22×Q8—44no—
728C22×Q8—42no—
729C22×Q8—44no—
730C22×Q8C2412yes—
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×Q8C2411yescharacteristic
735C22×Q8C2414yes—
736C22×D4—28no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—48no—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2411yescharacteristic
745C22×D4C2411yescharacteristic
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C4⋊Q8—44no—
766C4⋊Q8—44no—
767C4⋊Q8—44no—
768C4⋊Q8—42no—
769C4⋊Q8—48no—
770#127—42no—
771#126—48no—
772#126—48no—
773#126—48no—
774#125—44no—
775#124—28no—
776#124—28no—
777#124—44no—
778#124—44no—
779#124—44no—
780#124—44no—
781#124—44no—
782#124—48no—
783#124—48no—
784#123—44no—
785#123—44no—
786#123—48no—
787#123—48no—
788#123—48no—
789#123—48no—
790C22⋊Q8—28no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—44no—
794C22⋊Q8—48no—
795C22⋊Q8—44no—
796C22⋊Q8—48no—
797C22⋊Q8—44no—
798C22⋊Q8—44no—
799C22⋊Q8—44no—
800#121—28no—
801#121—48no—
802#121—48no—
803#121—44no—
804#121—44no—
805#120—48no—
806#120—48no—
807C4×Q8—42no—
808C4×Q8—42no—
809C4×Q8—42no—
810C4×Q8—44no—
811C4×Q8—44no—
812C4×Q8—44no—
813C4×D4—24no—
814C4×D4—24no—
815C4×D4—28no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—42no—
820C4×D4—44no—
821C4×D4—44no—
822C4×D4—48no—
823C4×D4—48no—
824#117—42no—
825#117—42no—
826#117—48no—
827#117—44no—
828#117—44no—
829#117—42no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—44no—
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C22⋊C4—48no—
888C2×C22⋊C4—48no—
889C2×C22⋊C4—48no—
890C2×C22⋊C4—48no—
891C2×C22⋊C4—48no—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C42—24no—
949C2×C42—44no—
950C2×C42C2411yescharacteristic
951C2×C42C2411yescharacteristic
952C2×C42C2411yescharacteristic
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2411yescharacteristic
959C2×C42C2414yes—
960C2×C42C2412yes—
961C2×C42C2412yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969#95C2411yescharacteristic
970#95C2414yes—
971#95C2414yes—
972#95C2412yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2411yescharacteristic
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2414yes—
996#95C2414yes—
997#95C2412yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2411yescharacteristic
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037C24—28no—
1038C24—28no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24C2514yes—
1045C24C2512yes—
1046C24C2511yescharacteristic
1047C24C2512yes—
1048#41—416no—
1049C2×Q8—22no—
1050C2×Q8—24no—
1051C2×Q8—24no—
1052C2×Q8—24no—
1053C2×Q8—22no—
1054C2×Q8—24no—
1055C2×Q8—24no—
1056C2×Q8—24no—
1057C2×Q8—24no—
1058C2×Q8—22no—
1059C2×Q8—41no—
1060C2×Q8—42no—
1061C2×Q8—44no—
1062C2×Q8—42no—
1063C2×Q8—44no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—88no—
1067C2×Q8—816no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—22no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—22no—
1080C2×D4—24no—
1081C2×D4—41no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—42no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—816no—
1095C2×D4—816no—
1096C2×D4H(5,𝔽2)14yes—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—42no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4H(5,𝔽2)14yes—
1136C22×C4C2512yes—
1137C22×C4C2511yescharacteristic
1138C22×C4C2512yes—
1139C22×C4C2511yescharacteristic
1140C22×C4C2514yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2514yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2511yescharacteristic
1149C22×C4C2514yes—
1150C22×C4C2512yes—
1151C22×C4C2511yescharacteristic
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2514yes—
1158C22×C4C2512yes—
1159C22×C4C2511yescharacteristic
1160C22×C4C2511yescharacteristic
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—28no—
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—24no—
1167C4⋊C4—24no—
1168C4⋊C4—41no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—42no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—42no—
1186C4⋊C4—44no—
1187C4⋊C4—41no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—42no—
1205C4⋊C4—44no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—24no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—28no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—24no—
1231C22⋊C4—28no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—42no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4—44no—
1248C22⋊C4—42no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C42—22no—
1273C42—24no—
1274C42—22no—
1275C42—24no—
1276C42—24no—
1277C42—22no—
1278C42—22no—
1279C42—24no—
1280C42—24no—
1281C42—42no—
1282C42—42no—
1283C42—44no—
1284C42—42no—
1285C42—44no—
1286C42—42no—
1287C42—42no—
1288C42—44no—
1289C42—44no—
1290C42—44no—
1291C23—22no—
1292C23—21no—
1293C23—22no—
1294C23—22no—
1295C23—21no—
1296C23—22no—
1297C23—24no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—24no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—24no—
1306C23—24no—
1307C23—24no—
1308C23—24no—
1309C23—24no—
1310C23—24no—
1311C23—24no—
1312C23—416no—
1313C23—88no—
1314C23—88no—
1315C23—88no—
1316C23—88no—
1317C23—164no—
1318C23—164no—
1319C23C2×H(5,𝔽2)14yes—
1320C23C2×H(5,𝔽2)12yes—
1321C23#58514yes—
1322C23C2611yescharacteristic
1323Q8—48no—
1324Q8—48no—
1325Q8—44no—
1326Q8—84no—
1327Q8—82no—
1328Q8—88no—
1329D4—28no—
1330D4—48no—
1331D4—44no—
1332D4—48no—
1333D4—48no—
1334D4—88no—
1335D4—88no—
1336D4—88no—
1337D4—84no—
1338D4—162no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—28no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—24no—
1360C2×C4—24no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—24no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—48no—
1406C2×C4—48no—
1407C2×C4—84no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—84no—
1412C2×C4—84no—
1413C2×C4—88no—
1414C2×C4—88no—
1415C2×C4—162no—
1416C2×C4—164no—
1417C2×C4—164no—
1418C2×C4C2×H(5,𝔽2)12yes—
1419C2×C4C2×H(5,𝔽2)12yes—
1420C2×C4C2×H(5,𝔽2)12yes—
1421C2×C4#58512yes—
1422C22—22no—
1423C22—24no—
1424C22—24no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—42no—
1431C22—41no—
1432C22—42no—
1433C22—41no—
1434C22—44no—
1435C22—42no—
1436C22—42no—
1437C22—44no—
1438C22—42no—
1439C22—44no—
1440C22—44no—
1441C22—44no—
1442C22—44no—
1443C22—44no—
1444C22—44no—
1445C22—44no—
1446C22—1616no—
1447C22C22×H(5,𝔽2)11yescharacteristic
1448C22C22×H(5,𝔽2)11yescharacteristic
1449C22C2×#58511yescharacteristic
1450C22C2×#58512yes—
1451C222−1+612yes—
1452C4—22no—
1453C4—42no—
1454C4—42no—
1455C4—44no—
1456C4—44no—
1457C4—42no—
1458C4—41no—
1459C4—41no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—41no—
1464C4—42no—
1465C4—42no—
1466C4—41no—
1467C4—42no—
1468C4—44no—
1469C4—42no—
1470C4—42no—
1471C4—44no—
1472C4—42no—
1473C4—42no—
1474C4—44no—
1475C4—42no—
1476C4#353414yes—
1477C2—42no—
1478C2—44no—
1479C2—44no—
1480C2—84no—
1481C2C2×#353411yescharacteristic
1482C2#6295412yes—
1483C2#6296412yes—
1484C2#6301711yescharacteristic
1485C2#6306311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35728C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59148C2semidirect
2. #59103C2semidirect
3. #59075C2semidirect
4. #58749C2semidirect
5. #58188C2semidirect
6. #56118C2semidirect
7. #55613C2semidirect
8. #55157C2semidirect
9. #53041C2semidirect
10. #52411C2semidirect
11. #52246C2semidirect
12. #51183C2semidirect
13. #48049C2semidirect
14. #45512C2semidirect
15. #45171C2semidirect
16. #43046C2semidirect
17. #42961C2semidirect
18. #42807C2semidirect
19. #42721C2semidirect
20. #42705C2semidirect
21. #40876C2semidirect
22. #40100C2semidirect
23. #39056C2semidirect
24. #38906C2semidirect
25. #37676C2semidirect
26. #37542C2semidirect
27. #35846C2semidirect
29. #35619C2semidirect
31. C2×D4×Q8C22semidirect
35. C2×#529C22semidirect
38. #2857C22semidirect
40. #2841C22semidirect
41. #2838C22semidirect
42. #2838C22semidirect
43. #2837C22semidirect
44. #2834C22semidirect
45. #2832C22semidirect
46. #2827C22semidirect
47. #2823C22semidirect
48. #2823C22semidirect
49. #2817C22semidirect
50. #2814C22semidirect
51. #2796C22semidirect
52. #2794C22semidirect
53. #2790C22semidirect
54. #2789C22semidirect
55. #2788C22semidirect
56. #2787C22semidirect
57. #2787C22semidirect
58. #2786C22semidirect
59. #2783C22semidirect
61. #2782C22semidirect
62. #2780C22semidirect
63. #2774C22semidirect
64. #2772C22semidirect
65. #2772C22semidirect
66. #2760C22semidirect
67. #2752C22semidirect
68. #2750C22semidirect
69. #2750C22semidirect
70. #2749C22semidirect
71. #2748C22semidirect
72. #2747C22semidirect
73. #2746C22semidirect
74. #2746C22semidirect
75. #2746C22semidirect
76. #2745C22semidirect
77. #2744C22semidirect
78. #2743C22semidirect
79. #2743C22semidirect
80. #2742C22semidirect
81. #2741C22semidirect
82. #2740C22semidirect
83. #2739C22semidirect
84. #2739C22semidirect
85. #2739C22semidirect
86. #2738C22semidirect
87. #2735C22semidirect
88. #2734C22semidirect
89. #2729C22semidirect
91. #2718C22semidirect
92. #2716C22semidirect
93. #2715C22semidirect
94. #2708C22semidirect
95. #2708C22semidirect
96. #2702C22semidirect
97. #2700C22semidirect
98. #2697C22semidirect
101. #2687C22semidirect
107. #2674C22semidirect
108. #2674C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2666C22semidirect
112. #2658C22semidirect
113. #2653C22semidirect
114. #2652C22semidirect
115. #2651C22semidirect
116. #2649C22semidirect
117. #2646C22semidirect
118. #2645C22semidirect
119. #2638C22semidirect
120. #2638C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
124. #2621C22semidirect
125. #2620C22semidirect
128. #2609C22semidirect
129. #2609C22semidirect
131. #2597C22semidirect
132. #2592C22semidirect
133. #2583C22semidirect
134. #2581C22semidirect
136. #2576C22semidirect
137. #2576C22semidirect
138. #2574C22semidirect
139. #2572C22semidirect
140. #2566C22semidirect
141. #2565C22semidirect
142. #2559C22semidirect
143. #2553C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
148. #2545C22semidirect
149. #2545C22semidirect
150. #2545C22semidirect
155. #2521C22semidirect
156. #2516C22semidirect
157. #2514C22semidirect
158. #2507C22semidirect
159. #2503C22semidirect
160. #2502C22semidirect
161. #2499C22semidirect
162. #2499C22semidirect
163. #2497C22semidirect
164. #2496C22semidirect
165. #2493C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
168. #2488C22semidirect
169. #2484C22semidirect
170. #2483C22semidirect
171. #2480C22semidirect
172. #2480C22semidirect
173. #2480C22semidirect
174. #2480C22semidirect
175. #2480C22semidirect
176. #2478C22semidirect
177. #2477C22semidirect
178. #2474C22semidirect
179. #2470C22semidirect
180. #2466C22semidirect
182. #2453C22semidirect
183. #2450C22semidirect
184. #2448C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
192. #2446C22semidirect
193. #2446C22semidirect
194. #2439C22semidirect
195. #2437C22semidirect
196. #2437C22semidirect
197. #2437C22semidirect
199. #2436C22semidirect
202. #2434C22semidirect
203. #2434C22semidirect
205. #2429C22semidirect
209. #2425C22semidirect
211. #2421C22semidirect
212. #2420C22semidirect
213. #2419C22semidirect
214. #2419C22semidirect
215. #2418C22semidirect
216. #2418C22semidirect
217. #2418C22semidirect
219. #2415C22semidirect
225. #2402C22semidirect
226. #2401C22semidirect
227. #2396C22semidirect
228. #2395C22semidirect
231. #2376C22semidirect
233. #2367C22semidirect
234. #2365C22semidirect
235. #2364C22semidirect
236. #2363C22semidirect
237. #2360C22semidirect
240. #2342C22semidirect
241. #2342C22semidirect
242. Q8×C22⋊C4C22semidirect
245. #2334C22semidirect
247. #2319C22semidirect
248. #2317C22semidirect
249. #2310C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×C22⋊Q8C22semidirect
254. C4×#123C22semidirect
256. C2×#391C22semidirect
257. #2290C22semidirect
258. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#591482
#591032
#590752
#587492
#581882
#561182
#556132
#551572
#530412
#524112
#522462
#511832
#480492
#455122
#451712
#430462
#429612
#428072
#427212
#427052
#408762
#401002
#390562
#389062
#376762
#375422
#358462
#357282
#356192