Finite Group Databasebeta

← #7629139

Subgroups — #7629139

Order 512.

5344 conjugacy classes of subgroups.

The subgroup lattice has 1549 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35657C212yesmaximal, complemented
2#35655C212yesmaximal, complemented
3#35609C212yesmaximal, complemented
4#35604C212yesmaximal, complemented
5#35553C212yesmaximal, complemented
6#35552C212yesmaximal, complemented
7#35551C212yesmaximal, complemented
8#35550C212yesmaximal, complemented
9#35462C214yesmaximal, complemented
10#35461C214yesmaximal, complemented
11#35376C214yesmaximal, complemented
12#35375C214yesmaximal, complemented
13#34948C211yesmaximal, characteristic, complemented
14#34947C211yesmaximal, characteristic, complemented
15#34946C211yesmaximal, characteristic, complemented
16#34935C211yesmaximal, characteristic
17#34884C214yesmaximal, complemented
18#34883C214yesmaximal, complemented
19#34814C211yesmaximal, characteristic, complemented
20#34814C211yesmaximal, characteristic, complemented
21#34812C214yesmaximal, complemented
22#34811C214yesmaximal, complemented
23#34742C211yesmaximal, characteristic, complemented
24#34742C211yesmaximal, characteristic, complemented
25#34074C211yesmaximal, characteristic, complemented
26#34065C211yesmaximal, characteristic, complemented
27#34048C211yesmaximal, characteristic, complemented
28C4×#525C211yesmaximal, characteristic, complemented
29C2×#2290C211yesmaximal, characteristic, complemented
30#34012C211yesmaximal, characteristic, complemented
31#33999C211yesmaximal, characteristic, complemented
32C2×#533C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C2×C4×#41C2211yescharacteristic
36C2×C4×#41C2211yescharacteristic
37C2×C4×#41C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×#117C2211yescharacteristic
40C23×C42C2211yescharacteristic
41#2597C2214yes—
42#2596C2214yescomplemented
43#2595C2214yes—
44#2594C2214yescomplemented
45#2590C2214yescomplemented
46#2589C2214yescomplemented
47#2588C2214yescomplemented
48#2587C2214yescomplemented
49#2578C2214yescomplemented
50#2577C2214yescomplemented
51#2576C2214yescomplemented
52#2575C2214yescomplemented
53#2571C2212yescomplemented
54#2570C2212yescomplemented
55#2570C2212yescomplemented
56#2569C2214yes—
57#2568C2211yescharacteristic, complemented
58#2567C2211yescharacteristic, complemented
59#2566C2211yescharacteristic, complemented
60#2566C2211yescharacteristic, complemented
61#2565C2211yescharacteristic, complemented
62#2565C2211yescharacteristic, complemented
63#2564C2214yes—
64#2563C2212yes—
65#2563C2211yescharacteristic, complemented
66#2562C2212yes—
67#2562C2212yes—
68#2561C2212yes—
69#2561C2212yes—
70#2560C2214yescomplemented
71#2559C2214yes—
72#2558C2214yescomplemented
73#2557C2214yes—
74#2552C2212yescomplemented
75#2547C2212yes—
76#2542C2211yescharacteristic, complemented
77#2538C2212yes—
78#2537C2212yes—
79#2536C2212yes—
80#2535C2212yes—
81#2534C2212yes—
82#2534C2212yes—
83#2533C2214yescomplemented
84#2533C2214yescomplemented
85#2532C2214yescomplemented
86#2532C2214yescomplemented
87#2531C2214yes—
88#2531C2214yescomplemented
89#2530C2214yescomplemented
90#2530C2214yescomplemented
91#2529C2214yescomplemented
92#2529C2214yescomplemented
93#2528C2214yescomplemented
94#2528C2214yescomplemented
95#2527C2214yescomplemented
96#2527C2214yescomplemented
97#2526C2214yes—
98#2526C2214yescomplemented
99#2525C2214yescomplemented
100#2524C2214yescomplemented
101#2523C2214yescomplemented
102#2522C2214yescomplemented
103#2521C2214yes—
104#2520C2214yescomplemented
105#2519C2214yescomplemented
106#2518C2214yescomplemented
107#2518C2214yescomplemented
108#2517C2214yescomplemented
109#2516C2214yes—
110#2515C2214yescomplemented
111#2510C2214yescomplemented
112#2505C2214yescomplemented
113#2503C2212yes—
114#2497C2212yescomplemented
115#2497C2212yescomplemented
116#2496C2212yescomplemented
117#2496C2212yescomplemented
118#2495C2212yescomplemented
119#2495C2212yescomplemented
120#2494C2212yescomplemented
121#2494C2212yescomplemented
122#2493C2214yes—
123#2493C2214yes—
124#2493C2214yescomplemented
125#2488C2214yescomplemented
126#2486C2212yes—
127#2480C2214yes—
128#2480C2214yes—
129#2479C2214yes—
130#2478C2214yescomplemented
131#2477C2214yescomplemented
132#2476C2214yes—
133#2475C2214yescomplemented
134#2474C2214yes—
135#2471C2214yes—
136#2470C2214yescomplemented
137#2467C2214yes—
138#2466C2214yescomplemented
139#2460C2214yescomplemented
140#2459C2214yes—
141#2450C2214yescomplemented
142#2444C2214yes—
143#2442C2214yes—
144#2435C2212yes—
145#2425C2214yes—
146#2423C2212yescomplemented
147#2423C2212yescomplemented
148#2422C2212yescomplemented
149#2422C2212yescomplemented
150#2421C2212yescomplemented
151#2421C2212yescomplemented
152#2420C2212yescomplemented
153#2420C2212yescomplemented
154#2419C2214yes—
155#2419C2214yes—
156#2419C2214yescomplemented
157#2418C2214yes—
158#2418C2214yes—
159#2417C2214yes—
160#2408C2212yes—
161#2402C2214yescomplemented
162#2401C2214yescomplemented
163#2401C2214yescomplemented
164#2398C2214yes—
165#2396C2214yescomplemented
166#2395C2214yescomplemented
167#2395C2214yescomplemented
168#2392C2214yes—
169#2331C2212yescomplemented
170#2331C2212yescomplemented
171#2330C2212yescomplemented
172#2330C2212yescomplemented
173#2329C2214yes—
174#2329C2214yes—
175#2324C2212yescomplemented
176#2324C2212yescomplemented
177#2323C2212yescomplemented
178#2323C2212yescomplemented
179#2322C2214yes—
180#2321C2214yes—
181#2314C2212yescomplemented
182#2314C2212yescomplemented
183#2314C2212yescomplemented
184#2314C2212yescomplemented
185#2313C2214yes—
186#2312C2214yes—
187C4×#125C2214yescomplemented
188C4×#126C2214yescomplemented
189C4×#126C2214yescomplemented
190C4×#124C2214yes—
191C4×C22⋊Q8C2212yescomplemented
192C4×C22⋊Q8C2214yescomplemented
193C4×C22⋊Q8C2212yescomplemented
194C4×#123C2214yes—
195C4×#123C2214yescomplemented
196C4×#123C2214yescomplemented
197C4×#121C2214yes—
198C4×#121C2212yescomplemented
199C4×#121C2212yescomplemented
200C4×#120C2214yes—
201#2298C2214yescomplemented
202#2298C2214yescomplemented
203#2297C2211yescharacteristic
204#2297C2211yescharacteristic
205#2296C2211yescharacteristic
206#2296C2211yescharacteristic
207#2296C2211yescharacteristic
208#2296C2211yescharacteristic
209#2295C2212yescomplemented
210#2295C2212yescomplemented
211#2295C2212yescomplemented
212#2295C2212yescomplemented
213#2293C2214yescomplemented
214#2290C2212yes—
215#2290C2212yes—
216#2290C2212yes—
217#2290C2212yes—
218#2290C2212yes—
219#2290C2212yes—
220#2290C2212yes—
221#2290C2212yes—
222#2290C2214yescomplemented
223#2290C2214yescomplemented
224C2×#388C2212yes—
225C2×#387C2212yes—
226C2×#386C2212yes—
227C2×#385C2212yes—
228#2285C2211yescharacteristic
229#2285C2211yescharacteristic
230#2285C2211yescharacteristic
231#2285C2211yescharacteristic
232#2285C2211yescharacteristic
233#2285C2212yescomplemented
234#2285C2212yescomplemented
235#2283C2214yes—
236#2283C2212yescomplemented
237#2283C2212yescomplemented
238#2283C2214yescomplemented
239#2280C2211yescharacteristic
240#2280C2211yescharacteristic
241#2280C2211yescharacteristic
242#2280C2214yes—
243#2280C2211yescharacteristic
244#2280C2211yescharacteristic
245#2280C2211yescharacteristic
246#2276C2212yescomplemented
247#2276C2212yescomplemented
248#2275C2214yes—
249#2275C2214yes—
250#2275C2212yescomplemented
251#2275C2212yescomplemented
252C42×D4C2214yescomplemented
253C4×#117C2211yescharacteristic
254C4×#117C2211yescharacteristic
255C4×#117C2211yescharacteristic
256C4×#117C2211yescharacteristic
257C4×#117C2211yescharacteristic
258C4×#117C2212yescomplemented
259C4×#117C2214yescomplemented
260C4×#117C2212yescomplemented
261C4×#117C2212yescomplemented
262C2×C4×C4⋊C4C2211yescharacteristic
263C2×C4×C22⋊C4C2211yescharacteristic
264C2×C4×C22⋊C4C2211yescharacteristic
265C2×#376C2211yescharacteristic
266C2×#376C2212yescomplemented
267C22×#41C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2312yes—
272#533—28no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#125C2311yescharacteristic
278C2×#125C2311yescharacteristic
279C2×#125C2314yes—
280C2×#124C2314yes—
281#525—28no—
282#525—28no—
283C2×#123C2312yes—
284C2×#123C2312yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2314yes—
292C2×#121C2312yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#120C2312yes—
296C2×#120C2312yes—
297C4×#41—28no—
298C4×#41—28no—
299C4×#41—28no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×D4—28no—
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2312yes—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2314yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2314yes—
322C2×C4×D4C2314yes—
323C2×#117—28no—
324C2×#117C2312yes—
325C2×#117C2312yes—
326C2×#117C2312yes—
327C2×#117C2312yes—
328C2×#117C2312yes—
329C2×#117C2312yes—
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2314yes—
339C2×#117C2314yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2312yes—
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C22⋊C4C2312yes—
348C22×C42—28no—
349C22×C42C2311yescharacteristic
350C22×C42C2312yes—
351C22×C42C2312yes—
352C22×C42C2312yes—
353C22×C42C2312yes—
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2312yes—
358C22×C42C2312yes—
359C22×C42C2312yes—
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2314yes—
363#401C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#393C2314yes—
423#393C2314yes—
424#393C2314yes—
425#392C2314yes—
426#391C2314yes—
427#391C2311yescharacteristic
428#391C2311yescharacteristic
429#391C2311yescharacteristic
430#391C2311yescharacteristic
431#391C2314yes—
432#391C2314yes—
433#391C2314yes—
434#391C2314yes—
435#391C2314yes—
436#390C2314yes—
437#390C2314yes—
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2314yes—
443#390C2314yes—
444#389C2314yes—
445#389C2314yes—
446#389C2314yes—
447#389C2312yes—
448#389C2312yes—
449#389C2312yes—
450#389C2312yes—
451#389C2314yes—
452#389C2314yes—
453#389C2314yes—
454#389C2314yes—
455#389C2314yes—
456#389C2314yes—
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2312yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2312yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2312yes—
496#388C2312yes—
497#388C2312yes—
498#388C2312yes—
499#388C2312yes—
500#388C2314yes—
501#388C2312yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2312yes—
523#387C2314yes—
524#387C2314yes—
525#387C2312yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2312yes—
540#387C2312yes—
541#387C2312yes—
542#387C2312yes—
543#387C2312yes—
544#387C2314yes—
545#387C2312yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2312yes—
555#386C2312yes—
556#386C2314yes—
557#386C2312yes—
558#386C2312yes—
559#386C2312yes—
560#386C2312yes—
561#386C2314yes—
562#386C2312yes—
563#386C2312yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2312yes—
570#385C2314yes—
571#385C2314yes—
572#385C2312yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2312yes—
578#385C2312yes—
579#385C2312yes—
580#385C2312yes—
581#385C2312yes—
582#385C2314yes—
583#385C2312yes—
584#384C2311yescharacteristic
585#384C2311yescharacteristic
586#384C2311yescharacteristic
587#384C2311yescharacteristic
588#384C2312yes—
589#384C2312yes—
590#384C2312yes—
591#383C2314yes—
592#383C2314yes—
593#383C2314yes—
594#383C2314yes—
595#382C2314yes—
596#382C2314yes—
597#382C2311yescharacteristic
598#382C2311yescharacteristic
599#382C2311yescharacteristic
600#382C2311yescharacteristic
601#382C2312yes—
602#382C2312yes—
603#382C2312yes—
604#382C2314yes—
605#382C2314yes—
606#381C2312yes—
607#381C2312yes—
608#381C2312yes—
609#381C2312yes—
610#381C2312yes—
611#381C2314yes—
612#381C2314yes—
613#381C2314yes—
614#381C2314yes—
615#381C2312yes—
616#380C2312yes—
617#380C2312yes—
618#380C2312yes—
619#380C2312yes—
620#380C2312yes—
621#380C2312yes—
622#380C2312yes—
623#380C2312yes—
624#380C2314yes—
625#380C2314yes—
626#380C2314yes—
627#380C2314yes—
628#380C2312yes—
629#380C2314yes—
630#380C2312yes—
631#380C2312yes—
632#380C2314yes—
633#380C2312yes—
634#380C2314yes—
635#380C2314yes—
636#380C2312yes—
637#380C2312yes—
638#379C2312yes—
639#379C2312yes—
640#379C2312yes—
641#379C2312yes—
642#379C2312yes—
643#379C2312yes—
644C4×C4⋊C4C2312yes—
645C4×C4⋊C4C2312yes—
646C4×C4⋊C4C2314yes—
647C4×C4⋊C4C2314yes—
648C4×C4⋊C4C2314yes—
649C4×C4⋊C4C2314yes—
650C4×C4⋊C4C2314yes—
651C4×C4⋊C4C2312yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2314yes—
654C4×C4⋊C4C2314yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2311yescharacteristic
658C4×C4⋊C4C2311yescharacteristic
659C4×C4⋊C4C2311yescharacteristic
660C4×C4⋊C4C2311yescharacteristic
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C22⋊C4C2312yes—
683C4×C22⋊C4C2312yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716#376C2312yes—
717#376C2312yes—
718#376C2312yes—
719#376C2312yes—
720#376C2311yescharacteristic
721#376C2311yescharacteristic
722#376C2311yescharacteristic
723#376C2311yescharacteristic
724#376C2312yes—
725#376C2314yes—
726#376C2314yes—
727#376C2312yes—
728#376C2312yes—
729#376C2314yes—
730#376C2314yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C2×#95C2312yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2314yes—
737C2×#95C2314yes—
738C43C2312yes—
739C43C2312yes—
740C43C2312yes—
741C43C2312yes—
742C43C2312yes—
743C25C2411yescharacteristic
744C25C2411yescharacteristic
745C2×#41—24no—
746C2×#41—24no—
747C2×#41#4118yes—
748C22×Q8C2411yescharacteristic
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×D4—24no—
752C22×D4—44no—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C23×C4—24no—
760C23×C4—24no—
761C23×C4—24no—
762C23×C4—24no—
763C23×C4—24no—
764C23×C4—28no—
765C23×C4—24no—
766C23×C4—44no—
767C23×C4—44no—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C4⋊Q8—24no—
791C4⋊Q8—24no—
792#126—48no—
793#126—48no—
794#125—24no—
795#125—24no—
796#125—48no—
797#124—48no—
798#123—28no—
799#123—28no—
800#123—48no—
801#123—48no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—48no—
807#121—28no—
808#121—28no—
809#121—48no—
810#120—28no—
811#120—28no—
812C4×Q8—28no—
813C4×Q8—28no—
814C4×Q8—24no—
815C4×Q8—24no—
816C4×Q8—28no—
817C4×Q8—28no—
818C4×D4—216no—
819C4×D4—28no—
820C4×D4—216no—
821C4×D4—28no—
822C4×D4—28no—
823C4×D4—216no—
824C4×D4—216no—
825C4×D4—28no—
826C4×D4—28no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—24no—
831C4×D4—24no—
832C4×D4—48no—
833C4×D4—48no—
834#117—28no—
835#117—24no—
836#117—24no—
837#117—24no—
838#117—24no—
839#117—24no—
840#117—24no—
841#117—24no—
842#117—28no—
843#117—28no—
844#117—28no—
845#117—28no—
846#117—28no—
847#117—28no—
848#117—48no—
849#117—48no—
850C2×C4⋊C4—28no—
851C2×C4⋊C4—24no—
852C2×C4⋊C4—44no—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C22⋊C4—28no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—24no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C42—24no—
956C2×C42—28no—
957C2×C42—24no—
958C2×C42—28no—
959C2×C42—24no—
960C2×C42—28no—
961C2×C42—28no—
962C2×C42—28no—
963C2×C42—28no—
964C2×C42—28no—
965C2×C42—28no—
966C2×C42#4118yes—
967C2×C42#4118yes—
968C2×C42C2411yescharacteristic
969C2×C42C2411yescharacteristic
970C2×C42C2412yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2412yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2411yescharacteristic
978C2×C42C2412yes—
979C2×C42C2411yescharacteristic
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2411yescharacteristic
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2411yescharacteristic
991C2×C42C2412yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073C24—22no—
1074C24—24no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2511yescharacteristic
1087#41—232no—
1088C2×Q8—22no—
1089C2×Q8—22no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8C2×#4114yes—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—28no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—44no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—416no—
1112C2×D4C2×#4118yes—
1113C2×D4C2×#4114yes—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—28no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—432no—
1170C22×C4—416no—
1171C22×C4—416no—
1172C22×C4C2×#4118yes—
1173C22×C4C2×#4118yes—
1174C22×C4C2×#4114yes—
1175C22×C4C2×#4114yes—
1176C22×C4C2×#4114yes—
1177C22×C4C2×#4114yes—
1178C22×C4C2×#4114yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2514yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—28no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C22⋊C4—28no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—24no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—28no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
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—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C42—22no—
1304C42—24no—
1305C42—24no—
1306C42—24no—
1307C42—24no—
1308C42—24no—
1309C42—22no—
1310C42—22no—
1311C42—24no—
1312C42—22no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—22no—
1317C42—22no—
1318C42—28no—
1319C42—24no—
1320C42—24no—
1321C42—28no—
1322C42—24no—
1323C42—24no—
1324C42—24no—
1325C42—24no—
1326C42—24no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42C2×#4114yes—
1338C42C2×#4114yes—
1339C42C2×#4118yes—
1340C42C2×#4114yes—
1341C42C2×#4114yes—
1342C42C2×#4114yes—
1343C42C2×#4114yes—
1344C23—22no—
1345C23—22no—
1346C23—28no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—24no—
1353C23—22no—
1354C23—22no—
1355C23—24no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—48no—
1365C23—48no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—84no—
1372C23—84no—
1373C23C22×#4114yes—
1374C23C22×#4112yes—
1375C23C22×#4112yes—
1376C23C22×#4112yes—
1377C23#58514yes—
1378C23C2611yescharacteristic
1379Q8—28no—
1380Q8—84no—
1381Q8—84no—
1382D4—216no—
1383D4—28no—
1384D4—48no—
1385D4—48no—
1386D4—416no—
1387D4—88no—
1388C2×C4—216no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—216no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—48no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—48no—
1451C2×C4—48no—
1452C2×C4—48no—
1453C2×C4—48no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—48no—
1457C2×C4—48no—
1458C2×C4—48no—
1459C2×C4—48no—
1460C2×C4—88no—
1461C2×C4—84no—
1462C2×C4—84no—
1463C2×C4—84no—
1464C2×C4—84no—
1465C2×C4—88no—
1466C2×C4#529116yes—
1467C2×C4C22×#4114yes—
1468C2×C4C22×#4114yes—
1469C2×C4C22×#4112yes—
1470C2×C4C22×#4112yes—
1471C2×C4C22×#4114yes—
1472C2×C4C22×#4112yes—
1473C2×C4C22×#4112yes—
1474C2×C4C22×#4112yes—
1475C2×C4C22×#4112yes—
1476C2×C4C22×#4112yes—
1477C2×C4C22×#4112yes—
1478C2×C4C22×#4112yes—
1479C2×C4C22×#4112yes—
1480C2×C4#58514yes—
1481C22—24no—
1482C22—22no—
1483C22—22no—
1484C22—24no—
1485C22—24no—
1486C22—24no—
1487C22—28no—
1488C22—24no—
1489C22—24no—
1490C22—416no—
1491C22—42no—
1492C22—44no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—88no—
1506C22C2×#52914yes—
1507C22C23×#4111yescharacteristic
1508C22C23×#4111yescharacteristic
1509C22C23×#4111yescharacteristic
1510C22C2×#58512yes—
1511C22C2×#58512yes—
1512C4—24no—
1513C4—24no—
1514C4—24no—
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—22no—
1519C4—24no—
1520C4—42no—
1521C4—44no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—44no—
1532C4—42no—
1533C4—44no—
1534C4—44no—
1535C4—42no—
1536C4—42no—
1537C4C2×#52914yes—
1538C4C2×#52914yes—
1539C2—24no—
1540C2—44no—
1541C2—44no—
1542C2—82no—
1543C2C22×#52911yescharacteristic
1544C2#6281412yes—
1545C2#6281411yescharacteristic
1546C2#6281511yescharacteristic
1547C2#6281612yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
prime radical#34935C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35657C2semidirect
2. #35655C2semidirect
3. #35609C2semidirect
4. #35604C2semidirect
5. #35553C2semidirect
6. #35552C2semidirect
7. #35551C2semidirect
8. #35550C2semidirect
9. #35462C2semidirect
10. #35461C2semidirect
11. #35376C2semidirect
12. #35375C2semidirect
13. #34948C2semidirect
14. #34947C2semidirect
15. #34946C2semidirect
17. #34884C2semidirect
18. #34883C2semidirect
19. #34814C2semidirect
20. #34814C2semidirect
21. #34812C2semidirect
22. #34811C2semidirect
23. #34742C2semidirect
24. #34742C2semidirect
25. #34074C2semidirect
26. #34065C2semidirect
27. #34048C2semidirect
28. C4×#525C2semidirect
29. C2×#2290C2semidirect
30. #34012C2semidirect
31. #33999C2semidirect
42. #2596C22semidirect
44. #2594C22semidirect
45. #2590C22semidirect
46. #2589C22semidirect
47. #2588C22semidirect
48. #2587C22semidirect
49. #2578C22semidirect
50. #2577C22semidirect
51. #2576C22semidirect
52. #2575C22semidirect
53. #2571C22semidirect
54. #2570C22semidirect
55. #2570C22semidirect
57. #2568C22semidirect
58. #2567C22semidirect
59. #2566C22semidirect
60. #2566C22semidirect
61. #2565C22semidirect
62. #2565C22semidirect
65. #2563C22semidirect
70. #2560C22semidirect
72. #2558C22semidirect
74. #2552C22semidirect
76. #2542C22semidirect
83. #2533C22semidirect
84. #2533C22semidirect
85. #2532C22semidirect
86. #2532C22semidirect
88. #2531C22semidirect
89. #2530C22semidirect
90. #2530C22semidirect
91. #2529C22semidirect
92. #2529C22semidirect
93. #2528C22semidirect
94. #2528C22semidirect
95. #2527C22semidirect
96. #2527C22semidirect
98. #2526C22semidirect
99. #2525C22semidirect
100. #2524C22semidirect
101. #2523C22semidirect
102. #2522C22semidirect
104. #2520C22semidirect
105. #2519C22semidirect
106. #2518C22semidirect
107. #2518C22semidirect
108. #2517C22semidirect
110. #2515C22semidirect
111. #2510C22semidirect
112. #2505C22semidirect
114. #2497C22semidirect
115. #2497C22semidirect
116. #2496C22semidirect
117. #2496C22semidirect
118. #2495C22semidirect
119. #2495C22semidirect
120. #2494C22semidirect
121. #2494C22semidirect
124. #2493C22semidirect
125. #2488C22semidirect
130. #2478C22semidirect
131. #2477C22semidirect
133. #2475C22semidirect
136. #2470C22semidirect
138. #2466C22semidirect
139. #2460C22semidirect
141. #2450C22semidirect
146. #2423C22semidirect
147. #2423C22semidirect
148. #2422C22semidirect
149. #2422C22semidirect
150. #2421C22semidirect
151. #2421C22semidirect
152. #2420C22semidirect
153. #2420C22semidirect
156. #2419C22semidirect
161. #2402C22semidirect
162. #2401C22semidirect
163. #2401C22semidirect
165. #2396C22semidirect
166. #2395C22semidirect
167. #2395C22semidirect
169. #2331C22semidirect
170. #2331C22semidirect
171. #2330C22semidirect
172. #2330C22semidirect
175. #2324C22semidirect
176. #2324C22semidirect
177. #2323C22semidirect
178. #2323C22semidirect
181. #2314C22semidirect
182. #2314C22semidirect
183. #2314C22semidirect
184. #2314C22semidirect
187. C4×#125C22semidirect
188. C4×#126C22semidirect
189. C4×#126C22semidirect
191. C4×C22⋊Q8C22semidirect
192. C4×C22⋊Q8C22semidirect
193. C4×C22⋊Q8C22semidirect
195. C4×#123C22semidirect
196. C4×#123C22semidirect
198. C4×#121C22semidirect
199. C4×#121C22semidirect
201. #2298C22semidirect
202. #2298C22semidirect
209. #2295C22semidirect
210. #2295C22semidirect
211. #2295C22semidirect
212. #2295C22semidirect
213. #2293C22semidirect
222. #2290C22semidirect
223. #2290C22semidirect
233. #2285C22semidirect
234. #2285C22semidirect
236. #2283C22semidirect
237. #2283C22semidirect
238. #2283C22semidirect
246. #2276C22semidirect
247. #2276C22semidirect
250. #2275C22semidirect
251. #2275C22semidirect
252. C42×D4C22semidirect
258. C4×#117C22semidirect
259. C4×#117C22semidirect
260. C4×#117C22semidirect
261. C4×#117C22semidirect
266. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#356572
#356552
#356092
#356042
#355532
#355522
#355512
#355502
#354622
#354612
#353762
#353752
#349482
#349472
#349462
#349352
#348842
#348832
#348142
#348122
#348112
#347422
#340742
#340652
#340482
C4×#5252
C2×#22902
#340122
#339992