Finite Group Databasebeta

← #7674826

Subgroups — #7674826

Order 512.

4944 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59753C212yesmaximal, complemented
2#59750C212yesmaximal, complemented
3#59720C212yesmaximal, complemented
4#59507C212yesmaximal, complemented
5#59433C212yesmaximal, complemented
6#59401C212yesmaximal, complemented
7#59299C212yesmaximal, complemented
8#59236C212yesmaximal, complemented
9#44115C214yesmaximal, complemented
10#44108C214yesmaximal, complemented
11#43724C214yesmaximal, complemented
12#43715C214yesmaximal, complemented
13#39807C212yesmaximal, complemented
14#39799C212yesmaximal, complemented
15#39751C211yesmaximal, characteristic, complemented
16#39742C211yesmaximal, characteristic, complemented
17#39733C212yesmaximal, complemented
18#39733C214yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36586C211yesmaximal, characteristic, complemented
21#36581C212yesmaximal, complemented
22#35386C214yesmaximal, complemented
23#35005C211yesmaximal, characteristic, complemented
24#35003C212yesmaximal, complemented
25#34788C212yesmaximal, complemented
26#34323C212yesmaximal, complemented
27#34277C212yesmaximal, complemented
28C2×#2345C211yesmaximal, characteristic, complemented
29C4×#538C211yesmaximal, characteristic, complemented
30C2×#553C2212yes—
31C2×#538C2211yescharacteristic
32C2×#538C2212yes—
33C23×C4⋊C4C2211yescharacteristic
34#2857C2211yescharacteristic
35#2856C2211yescharacteristic
36#2850C2212yes—
37#2850C2212yes—
38#2847C2214yes—
39#2847C2212yes—
40#2805C2212yescomplemented
41#2803C2214yescomplemented
42#2798C2214yescomplemented
43#2797C2214yescomplemented
44#2789C2214yescomplemented
45#2787C2214yescomplemented
46#2786C2214yes—
47#2786C2214yes—
48#2786C2214yes—
49#2786C2214yescomplemented
50#2778C2214yes—
51#2778C2214yes—
52#2778C2214yes—
53#2775C2214yescomplemented
54#2771C2214yescomplemented
55#2756C2214yes—
56#2756C2214yes—
57#2756C2214yes—
58#2755C2214yescomplemented
59#2750C2214yes—
60#2750C2214yes—
61#2750C2214yes—
62#2727C2212yescomplemented
63#2726C2212yescomplemented
64#2705C2214yescomplemented
65#2682C2212yescomplemented
66#2659C2212yes—
67#2656C2212yes—
68#2639C2212yes—
69#2617C2214yes—
70#2617C2212yes—
71#2600C2214yescomplemented
72#2599C2214yescomplemented
73#2597C2214yescomplemented
74#2597C2214yescomplemented
75#2596C2214yescomplemented
76#2596C2214yescomplemented
77#2594C2214yescomplemented
78#2594C2214yescomplemented
79#2591C2214yes—
80#2584C2212yescomplemented
81#2579C2214yes—
82#2577C2214yescomplemented
83#2576C2214yescomplemented
84#2575C2214yescomplemented
85#2571C2211yescharacteristic, complemented
86#2571C2211yescharacteristic, complemented
87#2562C2212yes—
88#2562C2214yes—
89#2559C2214yes—
90#2557C2214yes—
91#2555C2214yes—
92#2555C2214yes—
93#2553C2214yes—
94#2553C2214yes—
95#2550C2212yescomplemented
96#2548C2211yescharacteristic, complemented
97#2547C2211yescharacteristic, complemented
98#2535C2214yes—
99#2535C2212yes—
100#2533C2214yescomplemented
101#2531C2214yescomplemented
102#2528C2214yescomplemented
103#2526C2214yescomplemented
104#2525C2214yescomplemented
105#2525C2214yescomplemented
106#2524C2214yescomplemented
107#2521C2214yes—
108#2521C2214yes—
109#2518C2214yescomplemented
110#2516C2214yescomplemented
111#2515C2214yescomplemented
112#2514C2212yescomplemented
113#2513C2212yescomplemented
114#2513C2212yescomplemented
115#2513C2212yescomplemented
116#2510C2214yes—
117#2510C2214yes—
118#2510C2214yes—
119#2509C2212yescomplemented
120#2508C2212yescomplemented
121#2506C2212yescomplemented
122#2504C2212yes—
123#2496C2212yes—
124#2495C2212yes—
125#2495C2214yes—
126#2494C2212yes—
127#2494C2214yes—
128#2494C2212yescomplemented
129#2494C2212yescomplemented
130#2493C2214yescomplemented
131#2491C2212yes—
132#2490C2212yes—
133#2490C2214yes—
134#2490C2212yescomplemented
135#2487C2212yes—
136#2485C2214yes—
137#2485C2212yes—
138#2481C2214yes—
139#2481C2214yes—
140#2476C2214yescomplemented
141#2475C2214yescomplemented
142#2474C2214yescomplemented
143#2464C2214yes—
144#2464C2214yes—
145#2460C2214yescomplemented
146#2459C2214yescomplemented
147#2454C2212yescomplemented
148#2448C2212yescomplemented
149#2447C2212yescomplemented
150#2444C2214yes—
151#2444C2214yes—
152#2444C2214yes—
153#2444C2214yescomplemented
154#2443C2214yes—
155#2443C2214yes—
156#2442C2212yes—
157#2442C2214yes—
158#2442C2212yes—
159#2442C2212yes—
160#2441C2212yescomplemented
161#2428C2212yes—
162#2428C2212yescomplemented
163#2422C2212yes—
164#2420C2212yes—
165#2420C2214yes—
166#2416C2212yes—
167#2416C2214yes—
168#2416C2212yes—
169#2416C2212yes—
170#2414C2214yes—
171#2414C2212yes—
172#2414C2212yescomplemented
173#2401C2214yescomplemented
174#2395C2214yescomplemented
175#2374C2214yes—
176#2373C2214yes—
177#2373C2214yes—
178#2373C2214yescomplemented
179#2372C2214yes—
180#2370C2212yescomplemented
181#2367C2214yes—
182#2366C2211yescharacteristic, complemented
183#2365C2211yescharacteristic, complemented
184#2364C2214yes—
185#2363C2214yes—
186#2363C2212yescomplemented
187#2361C2212yes—
188#2361C2214yes—
189#2361C2212yes—
190#2361C2212yes—
191#2359C2214yes—
192#2359C2214yescomplemented
193#2357C2212yescomplemented
194#2355C2211yescharacteristic, complemented
195#2354C2211yescharacteristic, complemented
196#2352C2214yes—
197#2352C2212yes—
198#2352C2212yes—
199#2352C2212yes—
200#2349C2212yescomplemented
201#2347C2212yescomplemented
202#2346C2212yescomplemented
203#2345C2212yes—
204#2345C2212yes—
205#2345C2212yes—
206#2345C2214yes—
207#2345C2214yes—
208#2345C2212yes—
209#2345C2212yes—
210#2337C2212yes—
211#2335C2212yes—
212#2335C2214yescomplemented
213#2334C2212yes—
214#2334C2214yescomplemented
215#2333C2212yes—
216#2329C2211yescharacteristic
217#2329C2212yes—
218#2325C2214yes—
219#2325C2211yescharacteristic
220#2325C2212yes—
221#2325C2212yes—
222#2321C2212yes—
223#2321C2214yes—
224#2318C2212yes—
225#2312C2211yescharacteristic
226C4×#125C2212yescomplemented
227C4×#125C2212yescomplemented
228C4×#126C2212yes—
229C4×#124C2212yes—
230C4×C22⋊Q8C2211yescharacteristic
231C4×C22⋊Q8C2212yes—
232C4×#123C2212yes—
233C4×#121C2212yes—
234C4×#121C2211yescharacteristic
235C4×#121C2212yes—
236C4×#121C2214yes—
237C4×#121C2212yes—
238C4×#121C2212yescomplemented
239C4×#121C2212yescomplemented
240C4×#120C2212yes—
241C4×#120C2214yes—
242#2296C2212yescomplemented
243#2293C2212yescomplemented
244#2293C2212yescomplemented
245C2×#389C2211yescharacteristic
246C2×#389C2211yescharacteristic
247#2290C2214yes—
248C2×#387C2212yes—
249C2×#387C2212yes—
250#2283C2212yescomplemented
251C2×#380C2211yescharacteristic
252C2×#380C2212yes—
253#2275C2214yes—
254C42×D4C2212yes—
255C2×C4×C4⋊C4C2211yescharacteristic
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C24×C4C2311yescharacteristic
260C24×C4C2312yes—
261#553—216no—
262#538—28no—
263#538—216no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#126C2312yes—
267C2×#126C2314yes—
268C2×#126C2314yes—
269C2×#125C2312yes—
270C2×#125C2312yes—
271C2×#125C2314yes—
272C2×#124C2312yes—
273C2×#124C2314yes—
274C2×#124C2312yes—
275C2×#124C2312yes—
276C2×#123C2312yes—
277C2×#123C2314yes—
278C2×#123C2314yes—
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2312yes—
281C2×#121C2314yes—
282C2×#121C2311yescharacteristic
283C2×#121C2312yes—
284C2×#121C2312yes—
285C2×#121C2312yes—
286C2×#121C2314yes—
287C2×#121C2312yes—
288C2×#121C2312yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2314yes—
292C2×#121C2312yes—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#120C2312yes—
297C2×#120C2314yes—
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2312yes—
300C2×C4×D4C2312yes—
301C2×C4×D4C2314yes—
302C2×C4×D4C2314yes—
303C2×C4×D4C2312yes—
304C2×C4×D4C2312yes—
305C2×C4×D4C2312yes—
306C2×C4×D4C2312yes—
307C2×C4×D4C2314yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2314yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×#117C2312yes—
318C2×#117C2312yes—
319C2×#117C2314yes—
320C2×#117C2314yes—
321C22×C4⋊C4—28no—
322C22×C4⋊C4C2312yes—
323C22×C4⋊C4C2312yes—
324C22×C4⋊C4C2312yes—
325C22×C4⋊C4C2314yes—
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2312yes—
331C22×C4⋊C4C2311yescharacteristic
332C22×C22⋊C4C2312yes—
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337C22×C42C2312yes—
338C22×C42C2312yes—
339C22×C42C2312yes—
340#401C2314yes—
341#401C2314yes—
342#401C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#399C2314yes—
357#399C2314yes—
358#399C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#396C2314yes—
385#396C2314yes—
386#396C2314yes—
387#396C2314yes—
388#396C2314yes—
389#395C2314yes—
390#395C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#393C2314yes—
407#392C2314yes—
408#392C2314yes—
409#392C2314yes—
410#392C2314yes—
411#392C2314yes—
412#391C2312yes—
413#391C2314yes—
414#391C2311yescharacteristic
415#391C2312yes—
416#391C2312yes—
417#391C2312yes—
418#391C2312yes—
419#390C2312yes—
420#390C2312yes—
421#390C2314yes—
422#390C2314yes—
423#390C2311yescharacteristic
424#390C2314yes—
425#390C2312yes—
426#390C2312yes—
427#390C2312yes—
428#390C2314yes—
429#390C2312yes—
430#390C2312yes—
431#390C2312yes—
432#390C2312yes—
433#390C2312yes—
434#390C2312yes—
435#390C2312yes—
436#390C2312yes—
437#390C2314yes—
438#389C2312yes—
439#389C2312yes—
440#389C2312yes—
441#389C2312yes—
442#389C2312yes—
443#389C2312yes—
444#389C2312yes—
445#389C2312yes—
446#389C2314yes—
447#389C2314yes—
448#389C2312yes—
449#389C2312yes—
450#389C2312yes—
451#389C2312yes—
452#389C2312yes—
453#389C2311yescharacteristic
454#389C2314yes—
455#389C2314yes—
456#389C2311yescharacteristic
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2314yes—
464#389C2312yes—
465#389C2314yes—
466#389C2314yes—
467#388C2312yes—
468#388C2312yes—
469#388C2312yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2312yes—
476#388C2312yes—
477#388C2312yes—
478#388C2312yes—
479#388C2312yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2312yes—
484#388C2312yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2312yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2312yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#387C2312yes—
517#387C2312yes—
518#387C2312yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2312yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2312yes—
536#387C2314yes—
537#387C2312yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#386C2312yes—
553#386C2312yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2312yes—
558#386C2312yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2312yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2312yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#385C2312yes—
585#385C2312yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2312yes—
594#385C2314yes—
595#385C2314yes—
596#385C2312yes—
597#385C2312yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#384C2311yescharacteristic
603#384C2311yescharacteristic
604#383C2312yes—
605#383C2314yes—
606#383C2314yes—
607#383C2314yes—
608#382C2312yes—
609#382C2312yes—
610#382C2312yes—
611#382C2312yes—
612#382C2312yes—
613#382C2312yes—
614#382C2314yes—
615#382C2314yes—
616#382C2312yes—
617#381C2312yes—
618#381C2314yes—
619#381C2314yes—
620#381C2314yes—
621#380C2314yes—
622#380C2314yes—
623#380C2312yes—
624#380C2314yes—
625#380C2312yes—
626#380C2314yes—
627#380C2312yes—
628#380C2312yes—
629#380C2311yescharacteristic
630#380C2311yescharacteristic
631#380C2312yes—
632#380C2314yes—
633#380C2312yes—
634#380C2312yes—
635#380C2312yes—
636#380C2314yes—
637#380C2312yes—
638#380C2314yes—
639#380C2314yes—
640#380C2314yes—
641#380C2314yes—
642#380C2312yes—
643#380C2312yes—
644#380C2314yes—
645#379C2312yes—
646C4×C4⋊C4C2311yescharacteristic
647C4×C4⋊C4C2312yes—
648C4×C4⋊C4C2312yes—
649C4×C4⋊C4C2314yes—
650C4×C4⋊C4C2312yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2314yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2314yes—
657C4×C4⋊C4C2311yescharacteristic
658C4×C4⋊C4C2311yescharacteristic
659C4×C4⋊C4C2311yescharacteristic
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2311yescharacteristic
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2314yes—
676C4×C22⋊C4C2312yes—
677C4×C22⋊C4C2312yes—
678C4×C22⋊C4C2312yes—
679C4×C22⋊C4C2312yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705#376C2314yes—
706#376C2314yes—
707C2×#95C2311yescharacteristic
708C2×#95C2312yes—
709C2×#95C2311yescharacteristic
710C2×#95C2312yes—
711C2×#95C2314yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C43C2312yes—
716C25C2411yescharacteristic
717C22×Q8C2411yescharacteristic
718C22×Q8C2412yes—
719C22×D4C2412yes—
720C22×D4C2414yes—
721C22×D4C2412yes—
722C22×D4C2412yes—
723C22×D4C2414yes—
724C22×D4C2412yes—
725C22×D4C2414yes—
726C22×D4C2414yes—
727C22×D4C2411yescharacteristic
728C22×D4C2412yes—
729C22×D4C2414yes—
730C22×D4C2412yes—
731C23×C4—24no—
732C23×C4—28no—
733C23×C4—42no—
734C23×C4—42no—
735C23×C4—82no—
736C23×C4—82no—
737C23×C4C2412yes—
738C23×C4C2412yes—
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2412yes—
752C23×C4C2414yes—
753C23×C4C2412yes—
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2412yes—
757C4⋊Q8—42no—
758#127—42no—
759#126—216no—
760#126—216no—
761#126—28no—
762#125—28no—
763#125—44no—
764#125—84no—
765#124—28no—
766#124—216no—
767#124—82no—
768#124—82no—
769#123—216no—
770#123—28no—
771#123—216no—
772C22⋊Q8—24no—
773C22⋊Q8—28no—
774#121—24no—
775#121—28no—
776#121—216no—
777#121—28no—
778#121—28no—
779#121—216no—
780#121—28no—
781#121—44no—
782#121—44no—
783#121—44no—
784#121—48no—
785#121—44no—
786#121—84no—
787#121—84no—
788#121—84no—
789#120—28no—
790#120—216no—
791C4×Q8—42no—
792C4×Q8—82no—
793C4×D4—28no—
794C4×D4—216no—
795C4×D4—216no—
796C4×D4—28no—
797C4×D4—28no—
798C4×D4—44no—
799C4×D4—44no—
800C4×D4—44no—
801C4×D4—42no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—48no—
805C4×D4—82no—
806C4×D4—84no—
807C4×D4—84no—
808C4×D4—84no—
809C4×D4—84no—
810#117—28no—
811#117—44no—
812#117—84no—
813#117—84no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4—28no—
816C2×C4⋊C4—28no—
817C2×C4⋊C4—28no—
818C2×C4⋊C4—216no—
819C2×C4⋊C4—42no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—82no—
822C2×C4⋊C4—82no—
823C2×C4⋊C4#4118yes—
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C22⋊C4—44no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4#4118yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C42—42no—
932C2×C42—44no—
933C2×C42—42no—
934C2×C42—82no—
935C2×C42—82no—
936C2×C42C2414yes—
937C2×C42C2412yes—
938C2×C42C2412yes—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2414yes—
942C2×C42C2411yescharacteristic
943C2×C42C2412yes—
944C2×C42C2411yescharacteristic
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2412yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2412yes—
960C2×C42C2412yes—
961C2×C42C2411yescharacteristic
962C2×C42C2411yescharacteristic
963C2×C42C2412yes—
964#95C2414yes—
965#95C2412yes—
966#95C2414yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2414yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2412yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2414yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2412yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026C24—22no—
1027C24—22no—
1028C24—41no—
1029C24—41no—
1030C24—41no—
1031C24—41no—
1032C24C2×#4114yes—
1033C24C2512yes—
1034C24C2514yes—
1035C24C2512yes—
1036C24C2511yescharacteristic
1037C2×Q8—24no—
1038C2×Q8—22no—
1039C2×Q8—41no—
1040C2×Q8—42no—
1041C2×Q8—41no—
1042C2×Q8—42no—
1043C2×D4—24no—
1044C2×D4—28no—
1045C2×D4—28no—
1046C2×D4—24no—
1047C2×D4—24no—
1048C2×D4—28no—
1049C2×D4—24no—
1050C2×D4—28no—
1051C2×D4—24no—
1052C2×D4—28no—
1053C2×D4—24no—
1054C2×D4—22no—
1055C2×D4—24no—
1056C2×D4—28no—
1057C2×D4—24no—
1058C2×D4—24no—
1059C2×D4—41no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—42no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—41no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—28no—
1095C22×C4—28no—
1096C22×C4—28no—
1097C22×C4—28no—
1098C22×C4—24no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—42no—
1112C22×C4—41no—
1113C22×C4—42no—
1114C22×C4—41no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—42no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—416no—
1136C22×C4—816no—
1137C22×C4C2×#4114yes—
1138C22×C4C2×#4114yes—
1139C22×C4C2×#4114yes—
1140C22×C4C2×#4118yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2511yescharacteristic
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2514yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2514yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2514yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2511yescharacteristic
1163C22×C4C2511yescharacteristic
1164C22×C4C2514yes—
1165C22×C4C2511yescharacteristic
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—24no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—24no—
1172C4⋊C4—28no—
1173C4⋊C4—24no—
1174C4⋊C4—28no—
1175C4⋊C4—24no—
1176C4⋊C4—24no—
1177C4⋊C4—28no—
1178C4⋊C4—28no—
1179C4⋊C4—22no—
1180C4⋊C4—24no—
1181C4⋊C4—24no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—42no—
1189C4⋊C4—42no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—41no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—41no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—41no—
1206C4⋊C4—42no—
1207C4⋊C4—41no—
1208C4⋊C4—44no—
1209C4⋊C4—42no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4C2×#4118yes—
1217C4⋊C4C2×#4118yes—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—28no—
1221C22⋊C4—24no—
1222C22⋊C4—28no—
1223C22⋊C4—24no—
1224C22⋊C4—28no—
1225C22⋊C4—24no—
1226C22⋊C4—28no—
1227C22⋊C4—24no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—24no—
1232C22⋊C4—28no—
1233C22⋊C4—24no—
1234C22⋊C4—28no—
1235C22⋊C4—44no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—42no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—44no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4C2×#4118yes—
1269C22⋊C4C2×#4118yes—
1270C42—28no—
1271C42—24no—
1272C42—24no—
1273C42—28no—
1274C42—24no—
1275C42—24no—
1276C42—22no—
1277C42—22no—
1278C42—24no—
1279C42—42no—
1280C42—42no—
1281C42—41no—
1282C42—41no—
1283C42—42no—
1284C42—44no—
1285C42—44no—
1286C42—42no—
1287C42—42no—
1288C42—42no—
1289C42—42no—
1290C42—44no—
1291C42—42no—
1292C42—42no—
1293C42—44no—
1294C42—44no—
1295C42—42no—
1296C42—44no—
1297C42—44no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—28no—
1309C23—22no—
1310C23—24no—
1311C23—22no—
1312C23—24no—
1313C23—22no—
1314C23—24no—
1315C23—22no—
1316C23—24no—
1317C23—22no—
1318C23—24no—
1319C23—24no—
1320C23—22no—
1321C23—24no—
1322C23—22no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23C22×#4114yes—
1330C23C22×#4112yes—
1331C23C22×#4112yes—
1332C23#58512yes—
1333C23C2611yescharacteristic
1334Q8—82no—
1335Q8—84no—
1336D4—416no—
1337D4—48no—
1338D4—48no—
1339D4—84no—
1340D4—82no—
1341D4—88no—
1342D4—84no—
1343D4—88no—
1344D4—84no—
1345D4—88no—
1346D4—88no—
1347D4—162no—
1348C2×C4—22no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—22no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—28no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—24no—
1362C2×C4—22no—
1363C2×C4—24no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—22no—
1385C2×C4—24no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—48no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—48no—
1420C2×C4—44no—
1421C2×C4—48no—
1422C2×C4—48no—
1423C2×C4—48no—
1424C2×C4—84no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4—88no—
1428C2×C4—88no—
1429C2×C4—84no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4—84no—
1433C2×C4—84no—
1434C2×C4—164no—
1435C2×C4C22×#4114yes—
1436C2×C4C22×#4118yes—
1437C2×C4C22×#4112yes—
1438C2×C4C22×#4112yes—
1439C2×C4C22×#4112yes—
1440C2×C4C22×#4112yes—
1441C2×C4#58512yes—
1442C2×C4#58512yes—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—24no—
1450C22—24no—
1451C22—24no—
1452C22—416no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—44no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—44no—
1463C22—44no—
1464C22—42no—
1465C22—42no—
1466C22—44no—
1467C22—42no—
1468C22—44no—
1469C22—42no—
1470C22—44no—
1471C22#348014yes—
1472C22C23×#4111yescharacteristic
1473C22C23×#4111yescharacteristic
1474C22C2×#58511yescharacteristic
1475C22C2×#58511yescharacteristic
1476C22C2×#58511yescharacteristic
1477C22H(7,𝔽2)11yescharacteristic
1478C22H(7,𝔽2)11yescharacteristic
1479C4—24no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—28no—
1484C4—42no—
1485C4—44no—
1486C4—42no—
1487C4—44no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—41no—
1499C4—44no—
1500C4—41no—
1501C4—44no—
1502C4—42no—
1503C4#349314yes—
1504C2—24no—
1505C2—44no—
1506C2—82no—
1507C2—84no—
1508C2C2×#348011yescharacteristic
1509C2C2×#349311yescharacteristic
1510C2#6284611yescharacteristic
1511C2#6290811yescharacteristic
1512C2#6293511yescharacteristic
1513C2#6299211yescharacteristic
1514C2#6299211yescharacteristic
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. #59753C2semidirect
2. #59750C2semidirect
3. #59720C2semidirect
4. #59507C2semidirect
5. #59433C2semidirect
6. #59401C2semidirect
7. #59299C2semidirect
8. #59236C2semidirect
9. #44115C2semidirect
10. #44108C2semidirect
11. #43724C2semidirect
12. #43715C2semidirect
13. #39807C2semidirect
14. #39799C2semidirect
15. #39751C2semidirect
16. #39742C2semidirect
17. #39733C2semidirect
18. #39733C2semidirect
19. #36587C2semidirect
20. #36586C2semidirect
21. #36581C2semidirect
22. #35386C2semidirect
23. #35005C2semidirect
24. #35003C2semidirect
25. #34788C2semidirect
26. #34323C2semidirect
27. #34277C2semidirect
28. C2×#2345C2semidirect
29. C4×#538C2semidirect
40. #2805C22semidirect
41. #2803C22semidirect
42. #2798C22semidirect
43. #2797C22semidirect
44. #2789C22semidirect
45. #2787C22semidirect
49. #2786C22semidirect
53. #2775C22semidirect
54. #2771C22semidirect
58. #2755C22semidirect
62. #2727C22semidirect
63. #2726C22semidirect
64. #2705C22semidirect
65. #2682C22semidirect
71. #2600C22semidirect
72. #2599C22semidirect
73. #2597C22semidirect
74. #2597C22semidirect
75. #2596C22semidirect
76. #2596C22semidirect
77. #2594C22semidirect
78. #2594C22semidirect
80. #2584C22semidirect
82. #2577C22semidirect
83. #2576C22semidirect
84. #2575C22semidirect
85. #2571C22semidirect
86. #2571C22semidirect
95. #2550C22semidirect
96. #2548C22semidirect
97. #2547C22semidirect
100. #2533C22semidirect
101. #2531C22semidirect
102. #2528C22semidirect
103. #2526C22semidirect
104. #2525C22semidirect
105. #2525C22semidirect
106. #2524C22semidirect
109. #2518C22semidirect
110. #2516C22semidirect
111. #2515C22semidirect
112. #2514C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2513C22semidirect
119. #2509C22semidirect
120. #2508C22semidirect
121. #2506C22semidirect
128. #2494C22semidirect
129. #2494C22semidirect
130. #2493C22semidirect
134. #2490C22semidirect
140. #2476C22semidirect
141. #2475C22semidirect
142. #2474C22semidirect
145. #2460C22semidirect
146. #2459C22semidirect
147. #2454C22semidirect
148. #2448C22semidirect
149. #2447C22semidirect
153. #2444C22semidirect
160. #2441C22semidirect
162. #2428C22semidirect
172. #2414C22semidirect
173. #2401C22semidirect
174. #2395C22semidirect
178. #2373C22semidirect
180. #2370C22semidirect
182. #2366C22semidirect
183. #2365C22semidirect
186. #2363C22semidirect
192. #2359C22semidirect
193. #2357C22semidirect
194. #2355C22semidirect
195. #2354C22semidirect
200. #2349C22semidirect
201. #2347C22semidirect
202. #2346C22semidirect
212. #2335C22semidirect
214. #2334C22semidirect
226. C4×#125C22semidirect
227. C4×#125C22semidirect
238. C4×#121C22semidirect
239. C4×#121C22semidirect
242. #2296C22semidirect
243. #2293C22semidirect
244. #2293C22semidirect
250. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#597532
#597502
#597202
#595072
#594332
#594012
#592992
#592362
#441152
#441082
#437242
#437152
#398072
#397992
#397512
#397422
#397332
#365872
#365862
#365812
#353862
#350052
#350032
#347882
#343232
#342772
C2×#23452
C4×#5382