Finite Group Databasebeta

← #8751107

Subgroups — #8751107

Order 512.

5009 conjugacy classes of subgroups.

The subgroup lattice has 1545 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59474C212yesmaximal, complemented
3#57996C214yesmaximal, complemented
4#57346C214yesmaximal, complemented
5#53996C214yesmaximal, complemented
6#53905C212yesmaximal, complemented
7#53506C214yesmaximal, complemented
8#53117C212yesmaximal, complemented
9#52986C211yesmaximal, characteristic, complemented
10#52886C212yesmaximal, complemented
11#52597C214yesmaximal, complemented
12#47678C212yesmaximal, complemented
13#45437C211yesmaximal, characteristic, complemented
14#45061C212yesmaximal, complemented
15#45053C212yesmaximal, complemented
16#44957C212yesmaximal, complemented
17#44957C212yesmaximal, complemented
18#42969C212yesmaximal, complemented
19#42886C211yesmaximal, characteristic, complemented
20#42751C212yesmaximal, complemented
21#42589C212yesmaximal, complemented
22#42571C212yesmaximal, complemented
23#42401C212yesmaximal, complemented
24#41381C214yesmaximal, complemented
25#39746C211yesmaximal, characteristic, complemented
26#39405C212yesmaximal, complemented
27#36697C211yesmaximal, characteristic, complemented
28#36049C211yesmaximal, characteristic, complemented
29#35968C212yesmaximal, complemented
30C2×#559C2211yescharacteristic
31C2×#559C2211yescharacteristic
32C2×#557C2211yescharacteristic, complemented
33C2×#555C2212yescomplemented
34C2×#550C2211yescharacteristic
35C2×#538C2214yescomplemented
36C2×#535C2212yescomplemented
37#2858C2211yescharacteristic
38#2843C2211yescharacteristic, complemented
39#2839C2212yescomplemented
40#2838C2212yescomplemented
41#2837C2212yes—
42#2837C2214yescomplemented
43#2836C2212yescomplemented
44#2833C2211yescharacteristic, complemented
45#2832C2211yescharacteristic
46#2831C2212yescomplemented
47#2829C2214yescomplemented
48#2828C2212yes—
49#2828C2212yes—
50#2825C2214yescomplemented
51#2823C2211yescharacteristic
52#2821C2212yescomplemented
53#2820C2212yescomplemented
54#2815C2214yes—
55#2813C2214yescomplemented
56#2813C2214yescomplemented
57#2813C2214yescomplemented
58#2813C2214yescomplemented
59#2812C2214yes—
60#2797C2214yescomplemented
61#2779C2214yescomplemented
62#2778C2214yes—
63#2756C2214yescomplemented
64#2752C2214yescomplemented
65#2750C2214yescomplemented
66#2746C2214yescomplemented
67#2746C2214yescomplemented
68#2746C2214yescomplemented
69#2740C2214yescomplemented
70#2733C2212yescomplemented
71#2733C2212yescomplemented
72#2730C2214yescomplemented
73#2717C2214yescomplemented
74#2714C2214yescomplemented
75#2706C2214yescomplemented
76#2705C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2701C2214yescomplemented
81#2699C2214yescomplemented
82#2699C2212yescomplemented
83#2699C2212yescomplemented
84#2694C2214yescomplemented
85#2694C2214yescomplemented
86#2694C2214yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2685C2214yes—
90#2679C2212yes—
91#2679C2212yes—
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2676C2214yescomplemented
97#2674C2214yescomplemented
98#2674C2214yescomplemented
99#2671C2214yescomplemented
100#2671C2214yescomplemented
101#2671C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yes—
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2669C2214yes—
110#2669C2214yes—
111#2668C2214yescomplemented
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2662C2214yescomplemented
115#2658C2212yescomplemented
116#2656C2214yes—
117#2653C2214yescomplemented
118#2651C2214yescomplemented
119#2651C2214yescomplemented
120#2641C2211yescharacteristic
121#2641C2212yes—
122#2641C2212yes—
123#2641C2211yescharacteristic, complemented
124#2635C2214yescomplemented
125#2635C2214yescomplemented
126#2633C2212yescomplemented
127#2632C2212yescomplemented
128#2631C2214yescomplemented
129#2624C2214yescomplemented
130#2624C2212yescomplemented
131#2617C2214yescomplemented
132#2603C2214yescomplemented
133#2597C2214yescomplemented
134#2593C2214yescomplemented
135#2584C2211yescharacteristic, complemented
136#2576C2214yescomplemented
137#2565C2212yescomplemented
138#2562C2211yescharacteristic
139#2562C2212yescomplemented
140#2555C2214yescomplemented
141#2555C2212yescomplemented
142#2555C2214yescomplemented
143#2555C2212yescomplemented
144#2555C2214yescomplemented
145#2554C2214yescomplemented
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2548C2212yes—
149#2548C2211yescharacteristic
150#2548C2212yescomplemented
151#2548C2211yescharacteristic, complemented
152#2548C2212yescomplemented
153#2547C2212yescomplemented
154#2546C2211yescharacteristic, complemented
155#2545C2212yescomplemented
156#2543C2214yescomplemented
157#2541C2212yes—
158#2541C2212yes—
159#2541C2212yes—
160#2541C2212yes—
161#2541C2212yescomplemented
162#2541C2212yescomplemented
163#2539C2214yescomplemented
164#2539C2214yescomplemented
165#2537C2212yescomplemented
166#2536C2212yescomplemented
167#2531C2214yescomplemented
168#2526C2214yescomplemented
169#2516C2214yescomplemented
170#2513C2212yescomplemented
171#2512C2212yescomplemented
172#2510C2214yescomplemented
173#2498C2214yescomplemented
174#2496C2212yescomplemented
175#2494C2212yescomplemented
176#2491C2214yescomplemented
177#2491C2214yescomplemented
178#2491C2212yescomplemented
179#2490C2212yes—
180#2490C2212yes—
181#2490C2212yescomplemented
182#2490C2214yescomplemented
183#2482C2214yescomplemented
184#2480C2214yescomplemented
185#2479C2214yescomplemented
186#2479C2214yescomplemented
187#2471C2214yes—
188#2471C2214yescomplemented
189#2468C2214yescomplemented
190#2467C2214yescomplemented
191#2464C2214yescomplemented
192#2464C2214yescomplemented
193#2456C2214yescomplemented
194#2454C2212yescomplemented
195#2454C2212yescomplemented
196#2454C2212yescomplemented
197#2454C2212yescomplemented
198#2454C2212yescomplemented
199#2452C2212yescomplemented
200#2448C2212yescomplemented
201#2448C2212yescomplemented
202#2448C2212yescomplemented
203#2448C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2212yescomplemented
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yescomplemented
211#2431C2212yes—
212#2431C2212yes—
213#2428C2212yes—
214#2428C2212yes—
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2422C2212yes—
220#2420C2212yes—
221#2419C2214yescomplemented
222#2414C2214yescomplemented
223#2414C2214yescomplemented
224#2412C2214yes—
225#2408C2212yes—
226#2402C2212yescomplemented
227#2401C2212yescomplemented
228#2399C2211yescharacteristic, complemented
229#2398C2211yescharacteristic
230#2398C2212yescomplemented
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233#2395C2212yes—
234#2395C2214yescomplemented
235#2370C2212yescomplemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2366C2212yes—
239#2357C2212yescomplemented
240#2357C2212yescomplemented
241#2354C2212yescomplemented
242#2354C2212yescomplemented
243#2353C2214yescomplemented
244#2341C2212yescomplemented
245#2341C2212yescomplemented
246#2339C2212yescomplemented
247D4×C22⋊C4C2212yescomplemented
248D4×C22⋊C4C2212yescomplemented
249#2328C2212yescomplemented
250#2326C2212yescomplemented
251#2324C2212yes—
252#2324C2212yes—
253#2320C2211yescharacteristic, complemented
254C4×C4⋊Q8C2211yescharacteristic, complemented
255C4×#127C2212yescomplemented
256C4×#126C2212yescomplemented
257#2295C2211yescharacteristic, complemented
258#2276C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2312yes—
261#559—44no—
262#559—44no—
263#557—44no—
264#555—48no—
265#550—44no—
266#538—416no—
267#535—48no—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2312yes—
272C2×#127C2312yes—
273C2×#127C2312yes—
274C2×#127C2311yescharacteristic
275C2×#127C2312yes—
276C2×#127C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#126C2312yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2311yescharacteristic
285C2×#125C2312yes—
286C2×#125C2312yes—
287C2×#125C2312yes—
288C2×#125C2311yescharacteristic
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364#401C2312yes—
365#401C2314yes—
366#400C2312yes—
367#400C2311yescharacteristic
368#400C2312yes—
369#400C2312yes—
370#400C2311yescharacteristic
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#399C2314yes—
381#399C2312yes—
382#399C2312yes—
383#399C2312yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2312yes—
396#398C2312yes—
397#398C2311yescharacteristic
398#398C2312yes—
399#398C2314yes—
400#398C2312yes—
401#398C2312yes—
402#398C2312yes—
403#398C2311yescharacteristic
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2312yes—
434#396C2312yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2311yescharacteristic
444#395C2312yes—
445#395C2312yes—
446#395C2312yes—
447#395C2311yescharacteristic
448#395C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2311yescharacteristic
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2311yescharacteristic
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#393C2312yes—
496#393C2312yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#384C2312yes—
660#384C2311yescharacteristic
661#383C2312yes—
662#383C2312yes—
663#382C2312yes—
664#382C2312yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713#376C2311yescharacteristic
714#376C2312yes—
715#376C2311yescharacteristic
716#376C2312yes—
717C2×#95C2314yes—
718C43C2311yescharacteristic
719C25C2414yes—
720C2×#41—28no—
721C2×#41—44no—
722C2×#41—44no—
723C22×Q8C2411yescharacteristic
724C22×Q8C2412yes—
725C22×Q8C2411yescharacteristic
726C22×Q8C2411yescharacteristic
727C22×Q8C2411yescharacteristic
728C22×D4—44no—
729C22×D4—44no—
730C22×D4—44no—
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2411yescharacteristic
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C4⋊Q8—24no—
765C4⋊Q8—44no—
766C4⋊Q8—42no—
767C4⋊Q8—82no—
768#127—44no—
769#127—44no—
770#127—44no—
771#127—44no—
772#127—44no—
773#127—42no—
774#127—44no—
775#127—42no—
776#127—42no—
777#126—28no—
778#126—48no—
779#126—84no—
780#125—44no—
781#125—44no—
782#125—42no—
783#125—44no—
784#125—42no—
785#124—28no—
786#124—28no—
787#124—28no—
788#124—44no—
789#124—44no—
790#124—48no—
791#124—44no—
792#124—48no—
793#124—44no—
794#124—82no—
795#124—84no—
796#124—82no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—48no—
801#123—84no—
802#123—84no—
803#123—84no—
804C22⋊Q8—48no—
805#121—48no—
806#121—48no—
807#121—48no—
808#121—48no—
809#121—48no—
810#121—44no—
811#121—44no—
812#121—44no—
813#121—48no—
814#121—48no—
815#121—48no—
816#121—84no—
817#121—84no—
818#121—84no—
819#121—84no—
820#121—84no—
821#121—84no—
822#121—84no—
823#121—84no—
824#121—84no—
825#120—48no—
826#120—48no—
827#120—48no—
828#120—48no—
829#120—84no—
830#120—84no—
831#120—84no—
832#120—84no—
833#120—84no—
834C4×Q8—24no—
835C4×Q8—24no—
836C4×Q8—24no—
837C4×Q8—44no—
838C4×Q8—42no—
839C4×Q8—42no—
840C4×Q8—42no—
841C4×Q8—44no—
842C4×D4—216no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—42no—
852C4×D4—44no—
853C4×D4—48no—
854C4×D4—84no—
855#117—44no—
856#117—48no—
857#117—48no—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C22⋊C4—48no—
910C2×C22⋊C4—84no—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2411yescharacteristic
983C2×C42C2412yes—
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2411yescharacteristic
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2411yescharacteristic
1002#95C2412yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2411yescharacteristic
1006#95C2414yes—
1007#95C2411yescharacteristic
1008#95C2411yescharacteristic
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24C2512yes—
1058C24C2514yes—
1059C24C2514yes—
1060C24C2514yes—
1061#41—816no—
1062C2×Q8—24no—
1063C2×Q8—22no—
1064C2×Q8—22no—
1065C2×Q8—24no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—42no—
1069C2×Q8—41no—
1070C2×Q8—41no—
1071C2×Q8—42no—
1072C2×Q8—42no—
1073C2×Q8—41no—
1074C2×Q8H(5,𝔽2)14yes—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—28no—
1079C2×D4—24no—
1080C2×D4—28no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—44no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—41no—
1091C2×D4—42no—
1092C2×D4—44no—
1093C2×D4—42no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—42no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—816no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—28no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2514yes—
1177C22×C4C2512yes—
1178C22×C4C2514yes—
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2514yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C4⋊C4—28no—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—22no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—41no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—41no—
1223C4⋊C4—42no—
1224C4⋊C4—41no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C22⋊C4—24no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—42no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C42—24no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—24no—
1321C42—24no—
1322C42—24no—
1323C42—42no—
1324C42—44no—
1325C42—42no—
1326C42—44no—
1327C42—42no—
1328C42—44no—
1329C42—41no—
1330C42—44no—
1331C42—42no—
1332C42H(5,𝔽2)14yes—
1333C23—22no—
1334C23—24no—
1335C23—24no—
1336C23—24no—
1337C23—24no—
1338C23—24no—
1339C23—22no—
1340C23—24no—
1341C23—24no—
1342C23—24no—
1343C23—24no—
1344C23—24no—
1345C23—22no—
1346C23—22no—
1347C23—24no—
1348C23—24no—
1349C23—22no—
1350C23—24no—
1351C23—24no—
1352C23—24no—
1353C23—24no—
1354C23—24no—
1355C23—22no—
1356C23—24no—
1357C23—24no—
1358C23—24no—
1359C23—22no—
1360C23—24no—
1361C23—88no—
1362C23—88no—
1363C23—88no—
1364C23—164no—
1365C23—164no—
1366C23—164no—
1367C23—164no—
1368C23C2611yescharacteristic
1369Q8—28no—
1370Q8—84no—
1371Q8—82no—
1372Q8—82no—
1373Q8—82no—
1374D4—48no—
1375D4—48no—
1376D4—48no—
1377D4—84no—
1378D4—88no—
1379D4—88no—
1380D4—88no—
1381D4—84no—
1382D4—82no—
1383D4—84no—
1384D4—88no—
1385D4—88no—
1386D4—164no—
1387D4—164no—
1388D4—164no—
1389D4—164no—
1390D4—162no—
1391D4—164no—
1392D4—164no—
1393D4—162no—
1394D4—164no—
1395D4—162no—
1396D4—164no—
1397D4—164no—
1398D4—164no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—48no—
1464C2×C4—88no—
1465C2×C4—88no—
1466C2×C4—88no—
1467C2×C4—164no—
1468C2×C4—164no—
1469C2×C4—164no—
1470C2×C4—164no—
1471C2×C4C2×H(5,𝔽2)14yes—
1472C2×C4C2×H(5,𝔽2)12yes—
1473C2×C4C2×H(5,𝔽2)14yes—
1474C2×C4C2×H(5,𝔽2)12yes—
1475C2×C4#58514yes—
1476C22—42no—
1477C22—44no—
1478C22—44no—
1479C22—44no—
1480C22—44no—
1481C22—44no—
1482C22—44no—
1483C22—42no—
1484C22—44no—
1485C22—44no—
1486C22—42no—
1487C22—44no—
1488C22—44no—
1489C22—44no—
1490C22—44no—
1491C22—42no—
1492C22—44no—
1493C22—44no—
1494C22—44no—
1495C22—42no—
1496C22—44no—
1497C22—44no—
1498C22—44no—
1499C22—44no—
1500C22—44no—
1501C22—44no—
1502C22—42no—
1503C22—42no—
1504C22—1616no—
1505C22C22×H(5,𝔽2)11yescharacteristic
1506C22C22×H(5,𝔽2)11yescharacteristic
1507C22C2×#58512yes—
1508C22H(7,𝔽2)11yescharacteristic
1509C22H(7,𝔽2)12yes—
1510C4—24no—
1511C4—22no—
1512C4—24no—
1513C4—42no—
1514C4—42no—
1515C4—44no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—41no—
1529C4—41no—
1530C4—44no—
1531C4—44no—
1532C4—42no—
1533C4—42no—
1534C4#354514yes—
1535C2—84no—
1536C2—84no—
1537C2—84no—
1538C2—82no—
1539C2C2×#354511yescharacteristic
1540C2#6291611yescharacteristic
1541C2#6295512yes—
1542C2#6306012yes—
1543C2#6306611yescharacteristic
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. #59822C2semidirect
2. #59474C2semidirect
3. #57996C2semidirect
4. #57346C2semidirect
5. #53996C2semidirect
6. #53905C2semidirect
7. #53506C2semidirect
8. #53117C2semidirect
9. #52986C2semidirect
10. #52886C2semidirect
11. #52597C2semidirect
12. #47678C2semidirect
13. #45437C2semidirect
14. #45061C2semidirect
15. #45053C2semidirect
16. #44957C2semidirect
17. #44957C2semidirect
18. #42969C2semidirect
19. #42886C2semidirect
20. #42751C2semidirect
21. #42589C2semidirect
22. #42571C2semidirect
23. #42401C2semidirect
24. #41381C2semidirect
25. #39746C2semidirect
26. #39405C2semidirect
27. #36697C2semidirect
28. #36049C2semidirect
29. #35968C2semidirect
32. C2×#557C22semidirect
33. C2×#555C22semidirect
35. C2×#538C22semidirect
36. C2×#535C22semidirect
38. #2843C22semidirect
39. #2839C22semidirect
40. #2838C22semidirect
42. #2837C22semidirect
43. #2836C22semidirect
44. #2833C22semidirect
46. #2831C22semidirect
47. #2829C22semidirect
50. #2825C22semidirect
52. #2821C22semidirect
53. #2820C22semidirect
55. #2813C22semidirect
56. #2813C22semidirect
57. #2813C22semidirect
58. #2813C22semidirect
60. #2797C22semidirect
61. #2779C22semidirect
63. #2756C22semidirect
64. #2752C22semidirect
65. #2750C22semidirect
66. #2746C22semidirect
67. #2746C22semidirect
68. #2746C22semidirect
69. #2740C22semidirect
70. #2733C22semidirect
71. #2733C22semidirect
72. #2730C22semidirect
73. #2717C22semidirect
74. #2714C22semidirect
75. #2706C22semidirect
76. #2705C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2701C22semidirect
81. #2699C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2694C22semidirect
85. #2694C22semidirect
86. #2694C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2674C22semidirect
98. #2674C22semidirect
99. #2671C22semidirect
100. #2671C22semidirect
101. #2671C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
111. #2668C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2662C22semidirect
115. #2658C22semidirect
117. #2653C22semidirect
118. #2651C22semidirect
119. #2651C22semidirect
123. #2641C22semidirect
124. #2635C22semidirect
125. #2635C22semidirect
126. #2633C22semidirect
127. #2632C22semidirect
128. #2631C22semidirect
129. #2624C22semidirect
130. #2624C22semidirect
131. #2617C22semidirect
132. #2603C22semidirect
133. #2597C22semidirect
134. #2593C22semidirect
135. #2584C22semidirect
136. #2576C22semidirect
137. #2565C22semidirect
139. #2562C22semidirect
140. #2555C22semidirect
141. #2555C22semidirect
142. #2555C22semidirect
143. #2555C22semidirect
144. #2555C22semidirect
145. #2554C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
153. #2547C22semidirect
154. #2546C22semidirect
155. #2545C22semidirect
156. #2543C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2539C22semidirect
164. #2539C22semidirect
165. #2537C22semidirect
166. #2536C22semidirect
167. #2531C22semidirect
168. #2526C22semidirect
169. #2516C22semidirect
170. #2513C22semidirect
171. #2512C22semidirect
172. #2510C22semidirect
173. #2498C22semidirect
174. #2496C22semidirect
175. #2494C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2482C22semidirect
184. #2480C22semidirect
185. #2479C22semidirect
186. #2479C22semidirect
188. #2471C22semidirect
189. #2468C22semidirect
190. #2467C22semidirect
191. #2464C22semidirect
192. #2464C22semidirect
193. #2456C22semidirect
194. #2454C22semidirect
195. #2454C22semidirect
196. #2454C22semidirect
197. #2454C22semidirect
198. #2454C22semidirect
199. #2452C22semidirect
200. #2448C22semidirect
201. #2448C22semidirect
202. #2448C22semidirect
203. #2448C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
210. #2433C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
221. #2419C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
226. #2402C22semidirect
227. #2401C22semidirect
228. #2399C22semidirect
230. #2398C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
234. #2395C22semidirect
235. #2370C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2354C22semidirect
242. #2354C22semidirect
243. #2353C22semidirect
244. #2341C22semidirect
245. #2341C22semidirect
246. #2339C22semidirect
247. D4×C22⋊C4C22semidirect
248. D4×C22⋊C4C22semidirect
249. #2328C22semidirect
250. #2326C22semidirect
253. #2320C22semidirect
254. C4×C4⋊Q8C22semidirect
255. C4×#127C22semidirect
256. C4×#126C22semidirect
257. #2295C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#594742
#579962
#573462
#539962
#539052
#535062
#531172
#529862
#528862
#525972
#476782
#454372
#450612
#450532
#449572
#429692
#428862
#427512
#425892
#425712
#424012
#413812
#397462
#394052
#366972
#360492
#359682