Finite Group Databasebeta

← #7658848

Subgroups — #7658848

Order 512.

5608 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42991C212yesmaximal, complemented
2#42983C211yesmaximal, characteristic, complemented
3#42982C211yesmaximal, characteristic, complemented
4#42858C212yesmaximal, complemented
5#42857C212yesmaximal, complemented
6#42839C212yesmaximal, complemented
7#42835C212yesmaximal, complemented
8#42191C212yesmaximal, complemented
9#42023C212yesmaximal, complemented
10#41963C214yesmaximal, complemented
11#40893C214yesmaximal, complemented
12#40888C214yesmaximal, complemented
13#40871C214yesmaximal, complemented
14#40866C214yesmaximal, complemented
15#37517C212yesmaximal, complemented
16#37514C211yesmaximal, characteristic, complemented
17#37497C214yesmaximal, complemented
18#37492C212yesmaximal, complemented
19#36670C211yesmaximal, characteristic, complemented
20C2×#2830C212yesmaximal, complemented
21#36020C211yesmaximal, characteristic, complemented
22#35976C212yesmaximal, complemented
23#35939C212yesmaximal, complemented
24#35873C212yesmaximal, complemented
25#35821C212yesmaximal, complemented
26#35750C212yesmaximal, complemented
27#35739C211yesmaximal, characteristic, complemented
28#34289C212yesmaximal, complemented
29#34258C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×D4×Q8C2211yescharacteristic, complemented
32C2×#547C2212yes—
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2212yes—
35C2×#546C2212yes—
36C2×#520C2211yescharacteristic
37C2×#520C2212yescomplemented
38C2×C4×#41C2211yescharacteristic
39#2833C2211yescharacteristic, complemented
40#2833C2212yescomplemented
41#2832C2211yescharacteristic, complemented
42#2831C2212yescomplemented
43#2830C2212yescomplemented
44#2830C2211yescharacteristic, complemented
45#2830C2214yescomplemented
46#2830C2214yescomplemented
47#2830C2214yescomplemented
48#2830C2214yescomplemented
49#2830C2214yescomplemented
50#2830C2212yescomplemented
51#2830C2212yescomplemented
52#2830C2214yescomplemented
53#2829C2212yescomplemented
54#2829C2214yescomplemented
55#2828C2211yescharacteristic, complemented
56#2827C2212yescomplemented
57#2826C2212yescomplemented
58#2825C2212yescomplemented
59#2824C2212yescomplemented
60#2808C2214yescomplemented
61#2803C2214yescomplemented
62#2803C2214yescomplemented
63#2800C2214yescomplemented
64#2800C2214yescomplemented
65#2797C2214yescomplemented
66#2788C2214yescomplemented
67#2788C2214yescomplemented
68#2787C2214yescomplemented
69#2784C2214yescomplemented
70#2781C2214yescomplemented
71#2770C2214yescomplemented
72#2768C2214yescomplemented
73#2749C2214yescomplemented
74#2736C2212yescomplemented
75#2735C2214yescomplemented
76#2735C2212yescomplemented
77#2735C2212yescomplemented
78#2727C2214yescomplemented
79#2715C2214yescomplemented
80#2710C2214yescomplemented
81#2702C2214yescomplemented
82#2696C2214yescomplemented
83#2686C2214yescomplemented
84#2684C2214yescomplemented
85#2668C2212yescomplemented
86#2666C2214yescomplemented
87#2665C2214yescomplemented
88#2662C2214yescomplemented
89#2662C2214yescomplemented
90#2661C2214yescomplemented
91#2653C2214yescomplemented
92#2653C2214yescomplemented
93#2652C2214yescomplemented
94#2652C2214yescomplemented
95#2651C2214yescomplemented
96#2651C2214yescomplemented
97#2651C2214yescomplemented
98#2649C2214yescomplemented
99#2649C2214yescomplemented
100#2648C2214yescomplemented
101#2648C2214yescomplemented
102#2644C2212yescomplemented
103#2643C2214yescomplemented
104#2640C2212yescomplemented
105#2639C2214yescomplemented
106#2628C2211yescharacteristic, complemented
107#2627C2212yescomplemented
108#2626C2214yescomplemented
109#2624C2212yescomplemented
110#2623C2214yescomplemented
111#2622C2214yescomplemented
112#2621C2211yescharacteristic, complemented
113#2620C2212yescomplemented
114#2618C2212yescomplemented
115#2618C2214yescomplemented
116#2616C2212yes—
117#2613C2214yes—
118#2593C2212yescomplemented
119#2593C2212yescomplemented
120#2592C2212yescomplemented
121#2589C2214yescomplemented
122#2587C2214yescomplemented
123#2586C2212yescomplemented
124#2581C2211yescharacteristic, complemented
125#2578C2214yescomplemented
126#2576C2214yescomplemented
127#2567C2211yescharacteristic, complemented
128#2564C2212yescomplemented
129#2563C2212yescomplemented
130#2561C2214yescomplemented
131#2555C2212yescomplemented
132#2554C2214yescomplemented
133#2546C2211yescharacteristic, complemented
134#2545C2212yescomplemented
135#2543C2212yescomplemented
136#2538C2212yescomplemented
137#2536C2211yescharacteristic, complemented
138#2534C2214yescomplemented
139#2513C2212yescomplemented
140#2513C2212yescomplemented
141#2512C2212yescomplemented
142#2510C2214yescomplemented
143#2510C2214yescomplemented
144#2504C2212yescomplemented
145#2498C2214yescomplemented
146#2496C2212yescomplemented
147#2495C2212yescomplemented
148#2494C2212yescomplemented
149#2492C2212yescomplemented
150#2492C2212yescomplemented
151#2491C2212yescomplemented
152#2491C2212yescomplemented
153#2488C2214yescomplemented
154#2488C2214yescomplemented
155#2486C2212yescomplemented
156#2486C2212yescomplemented
157#2482C2214yescomplemented
158#2481C2214yescomplemented
159#2480C2214yescomplemented
160#2480C2214yescomplemented
161#2480C2214yescomplemented
162#2480C2214yescomplemented
163#2472C2214yescomplemented
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2451C2212yescomplemented
167#2449C2214yescomplemented
168#2448C2212yescomplemented
169#2448C2212yescomplemented
170#2444C2214yescomplemented
171#2444C2214yescomplemented
172#2440C2212yescomplemented
173#2438C2214yescomplemented
174#2436C2214yescomplemented
175#2435C2212yes—
176#2432C2212yes—
177#2432C2212yes—
178#2430C2214yes—
179#2429C2212yescomplemented
180#2429C2212yescomplemented
181#2426C2212yescomplemented
182#2425C2214yescomplemented
183#2425C2214yescomplemented
184#2424C2214yescomplemented
185#2421C2212yescomplemented
186#2421C2212yescomplemented
187#2418C2214yescomplemented
188#2418C2214yescomplemented
189#2417C2212yescomplemented
190#2417C2212yescomplemented
191#2416C2214yescomplemented
192#2416C2212yescomplemented
193#2413C2214yescomplemented
194#2413C2214yescomplemented
195#2411C2214yescomplemented
196#2410C2214yes—
197#2410C2214yes—
198#2409C2212yescomplemented
199#2408C2212yes—
200#2407C2212yes—
201#2407C2212yes—
202#2406C2214yes—
203#2405C2214yes—
204#2405C2214yes—
205#2401C2212yescomplemented
206#2398C2212yescomplemented
207#2396C2211yescharacteristic, complemented
208#2395C2212yescomplemented
209#2392C2212yescomplemented
210#2392C2211yescharacteristic, complemented
211C2×#398C2212yescomplemented
212C2×#397C2214yescomplemented
213C2×#397C2214yescomplemented
214C2×#396C2214yescomplemented
215#2388C2212yes—
216C2×#395C2212yescomplemented
217C2×#394C2214yes—
218C2×#393C2214yescomplemented
219#2365C2212yescomplemented
220#2364C2214yescomplemented
221#2362C2212yescomplemented
222#2360C2212yescomplemented
223#2359C2214yescomplemented
224#2359C2214yescomplemented
225#2352C2212yescomplemented
226#2349C2211yescharacteristic, complemented
227#2349C2212yescomplemented
228#2349C2211yescharacteristic, complemented
229D4×C4⋊C4C2212yescomplemented
230#2344C2214yescomplemented
231#2341C2212yes—
232#2341C2212yes—
233#2339C2212yes—
234#2339C2212yescomplemented
235#2339C2212yescomplemented
236D4×C22⋊C4C2212yes—
237D4×C22⋊C4C2212yes—
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2214yes—
241D4×C22⋊C4C2214yes—
242#2327C2212yescomplemented
243#2325C2214yescomplemented
244#2323C2212yescomplemented
245#2322C2214yescomplemented
246#2311C2212yes—
247#2311C2211yescharacteristic
248#2309C2211yescharacteristic
249#2309C2212yes—
250C4×C22⋊Q8C2212yescomplemented
251C4×#123C2214yescomplemented
252#2297C2211yescharacteristic
253#2297C2212yes—
254C2×#390C2212yes—
255C2×#390C2211yescharacteristic
256#2290C2212yescomplemented
257C2×#387C2214yescomplemented
258#2275C2212yescomplemented
259C2×H(5,𝔽2)—28no—
260C2×H(5,𝔽2)—44no—
261C2×H(5,𝔽2)—44no—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2312yes—
266C22×#41C2312yes—
267C23×Q8C2312yes—
268C23×D4C2312yes—
269C23×D4C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2314yes—
272D4×Q8—44no—
273#547—216no—
274#547—44no—
275#546—48no—
276#546—48no—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×#121C2314yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311#520—44no—
312#520—48no—
313C4×#41—44no—
314C2×C4×Q8C2311yescharacteristic
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2311yescharacteristic
317C2×C4×Q8C2312yes—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2314yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2311yescharacteristic
335C2×#117C2312yes—
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2312yes—
339C2×#117C2312yes—
340C2×#117C2314yes—
341C22×C4⋊C4C2314yes—
342C22×C4⋊C4C2312yes—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2314yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2314yes—
348C22×C22⋊C4C2314yes—
349C22×C22⋊C4C2314yes—
350C22×C22⋊C4C2314yes—
351C22×C22⋊C4C2314yes—
352C22×C22⋊C4C2314yes—
353C22×C22⋊C4C2314yes—
354C22×C22⋊C4C2314yes—
355C22×C42C2312yes—
356C22×C42C2311yescharacteristic
357#401C2312yes—
358#401C2314yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2312yes—
363#400C2312yes—
364#400C2312yes—
365#400C2312yes—
366#400C2311yescharacteristic
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#399C2311yescharacteristic
375#399C2312yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2312yes—
380#398C2312yes—
381#398C2312yes—
382#398C2312yes—
383#398C2314yes—
384#398C2311yescharacteristic
385#398C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2312yes—
392#398C2312yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#397C2312yes—
397#397C2314yes—
398#397C2312yes—
399#397C2312yes—
400#397C2312yes—
401#397C2312yes—
402#397C2312yes—
403#397C2312yes—
404#397C2312yes—
405#397C2311yescharacteristic
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2312yes—
432#396C2312yes—
433#396C2312yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2312yes—
450#395C2312yes—
451#395C2311yescharacteristic
452#395C2312yes—
453#395C2312yes—
454#395C2314yes—
455#395C2314yes—
456#395C2312yes—
457#395C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2311yescharacteristic
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2311yescharacteristic
496#393C2312yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#392C2312yes—
506#392C2311yescharacteristic
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
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#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
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#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#384C2312yes—
657#383C2314yes—
658#382C2314yes—
659#382C2311yescharacteristic
660#382C2312yes—
661#382C2311yescharacteristic
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684#379C2312yes—
685#379C2312yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715#376C2312yes—
716C2×#95C2312yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2414yes—
724C25C2412yes—
725H(5,𝔽2)—464no—
726C2×#41—28no—
727C2×#41—28no—
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—24no—
734C2×#41—42no—
735C2×#41—42no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41#4118yes—
741C22×Q8—44no—
742C22×Q8—84no—
743C22×Q8C2412yes—
744C22×Q8C2411yescharacteristic
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2414yes—
748C22×Q8C2412yes—
749C22×D4—216no—
750C22×D4—28no—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—28no—
754C22×D4—24no—
755C22×D4—42no—
756C22×D4—42no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2411yescharacteristic
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C4⋊Q8—28no—
792C4⋊Q8—42no—
793C4⋊Q8—44no—
794C4⋊Q8—42no—
795#126—84no—
796#126—84no—
797#124—44no—
798#124—44no—
799#124—84no—
800#124—84no—
801#123—216no—
802#123—216no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—84no—
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—48no—
810C22⋊Q8—44no—
811C22⋊Q8—44no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—84no—
815#121—216no—
816#121—44no—
817#121—44no—
818#121—48no—
819#121—48no—
820#121—44no—
821#121—84no—
822#120—48no—
823#120—48no—
824#120—84no—
825C4×Q8—42no—
826C4×Q8—44no—
827C4×Q8—44no—
828C4×Q8—44no—
829C4×Q8—42no—
830C4×Q8—42no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—24no—
835C4×D4—24no—
836C4×D4—28no—
837C4×D4—28no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4—42no—
841C4×D4—48no—
842C4×D4—48no—
843C4×D4—48no—
844C4×D4—44no—
845C4×D4—44no—
846#117—44no—
847#117—42no—
848#117—44no—
849#117—48no—
850#117—44no—
851#117—42no—
852C2×C4⋊C4—216no—
853C2×C4⋊C4—44no—
854C2×C4⋊C4—42no—
855C2×C4⋊C4—44no—
856C2×C4⋊C4—48no—
857C2×C4⋊C4—44no—
858C2×C4⋊C4—84no—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C22⋊C4—48no—
908C2×C22⋊C4—48no—
909C2×C22⋊C4—84no—
910C2×C22⋊C4—84no—
911C2×C22⋊C4—84no—
912C2×C22⋊C4—84no—
913C2×C22⋊C4—84no—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C42—42no—
981C2×C42—44no—
982C2×C42C2412yes—
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2411yescharacteristic
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2411yescharacteristic
1005#95C2411yescharacteristic
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2411yescharacteristic
1045#95C2411yescharacteristic
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059C24—24no—
1060C24—28no—
1061C24—28no—
1062C24—28no—
1063C24—42no—
1064C24—42no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24C2512yes—
1072C24C2514yes—
1073C24C2512yes—
1074C24C2511yescharacteristic
1075C24C2512yes—
1076#41—232no—
1077#41—432no—
1078#41—416no—
1079#41—432no—
1080#41—432no—
1081C2×Q8—24no—
1082C2×Q8—22no—
1083C2×Q8—22no—
1084C2×Q8—22no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—41no—
1088C2×Q8—42no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—44no—
1092C2×Q8—42no—
1093C2×Q8—44no—
1094C2×Q8—44no—
1095C2×Q8—44no—
1096C2×Q8—816no—
1097C2×Q8C2×#4114yes—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—41no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—432no—
1123C2×D4—416no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—464no—
1141C2×D4—432no—
1142C2×D4C2×#4118yes—
1143C2×D4C2×#4114yes—
1144C2×D4H(5,𝔽2)14yes—
1145C2×D4H(5,𝔽2)14yes—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—28no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—28no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4C2×#4118yes—
1187C22×C4C2×#4114yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2514yes—
1196C22×C4C2514yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C4⋊C4—24no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—41no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—44no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—42no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—41no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—41no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C22⋊C4—28no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—28no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—42no—
1280C22⋊C4—44no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
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—42no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—22no—
1330C42—22no—
1331C42—24no—
1332C42—41no—
1333C42—41no—
1334C42—42no—
1335C42—44no—
1336C42—44no—
1337C42—42no—
1338C42—42no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C23—24no—
1344C23—24no—
1345C23—21no—
1346C23—21no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—24no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—24no—
1358C23—22no—
1359C23—24no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—24no—
1365C23—22no—
1366C23—24no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—48no—
1371C23—416no—
1372C23—88no—
1373C23—88no—
1374C23—88no—
1375C23—88no—
1376C23—88no—
1377C23—88no—
1378C23—88no—
1379C23—162no—
1380C23—164no—
1381C23—162no—
1382C23C22×#4112yes—
1383C23C22×#4114yes—
1384C23C2×H(5,𝔽2)14yes—
1385C23C2×H(5,𝔽2)14yes—
1386C23C2611yescharacteristic
1387Q8—28no—
1388Q8—44no—
1389Q8—44no—
1390Q8—48no—
1391Q8—88no—
1392Q8—84no—
1393D4—216no—
1394D4—48no—
1395D4—44no—
1396D4—416no—
1397D4—48no—
1398D4—416no—
1399D4—416no—
1400D4—48no—
1401D4—84no—
1402D4—82no—
1403D4—84no—
1404D4—84no—
1405D4—164no—
1406D4—164no—
1407D4#538116yes—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—216no—
1413C2×C4—28no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—416no—
1472C2×C4—416no—
1473C2×C4—48no—
1474C2×C4—48no—
1475C2×C4—84no—
1476C2×C4—88no—
1477C2×C4—88no—
1478C2×C4—88no—
1479C2×C4—84no—
1480C2×C4—88no—
1481C2×C4—84no—
1482C2×C4—162no—
1483C2×C4—164no—
1484C2×C4C22×#4114yes—
1485C2×C4C22×#4112yes—
1486C2×C4C22×#4112yes—
1487C2×C4C2×H(5,𝔽2)12yes—
1488C2×C4C2×H(5,𝔽2)12yes—
1489C22—24no—
1490C22—28no—
1491C22—24no—
1492C22—28no—
1493C22—24no—
1494C22—22no—
1495C22—41no—
1496C22—42no—
1497C22—41no—
1498C22—42no—
1499C22—44no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—44no—
1505C22—42no—
1506C22—44no—
1507C22—42no—
1508C22—42no—
1509C22—44no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—44no—
1516C22—44no—
1517C22—42no—
1518C22—42no—
1519C22—1616no—
1520C22—168no—
1521C22C2×#53818yes—
1522C22C23×#4111yescharacteristic
1523C22C22×H(5,𝔽2)11yescharacteristic
1524C22C22×H(5,𝔽2)11yescharacteristic
1525C22H(7,𝔽2)12yes—
1526C222−1+612yes—
1527C4—22no—
1528C4—24no—
1529C4—41no—
1530C4—42no—
1531C4—41no—
1532C4—42no—
1533C4—42no—
1534C4—44no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—44no—
1539C4—44no—
1540C4—42no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4C2×#53814yes—
1551C2—28no—
1552C2—42no—
1553C2—82no—
1554C2—84no—
1555C2—82no—
1556C2C22×#53811yescharacteristic
1557C2#6285712yes—
1558C2#6304111yescharacteristic
1559C2#6304912yes—
1560C2#6306311yescharacteristic
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. #42991C2semidirect
2. #42983C2semidirect
3. #42982C2semidirect
4. #42858C2semidirect
5. #42857C2semidirect
6. #42839C2semidirect
7. #42835C2semidirect
8. #42191C2semidirect
9. #42023C2semidirect
10. #41963C2semidirect
11. #40893C2semidirect
12. #40888C2semidirect
13. #40871C2semidirect
14. #40866C2semidirect
15. #37517C2semidirect
16. #37514C2semidirect
17. #37497C2semidirect
18. #37492C2semidirect
19. #36670C2semidirect
20. C2×#2830C2semidirect
21. #36020C2semidirect
22. #35976C2semidirect
23. #35939C2semidirect
24. #35873C2semidirect
25. #35821C2semidirect
26. #35750C2semidirect
27. #35739C2semidirect
28. #34289C2semidirect
29. #34258C2semidirect
31. C2×D4×Q8C22semidirect
33. C2×#547C22semidirect
37. C2×#520C22semidirect
39. #2833C22semidirect
40. #2833C22semidirect
41. #2832C22semidirect
42. #2831C22semidirect
43. #2830C22semidirect
44. #2830C22semidirect
45. #2830C22semidirect
46. #2830C22semidirect
47. #2830C22semidirect
48. #2830C22semidirect
49. #2830C22semidirect
50. #2830C22semidirect
51. #2830C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
56. #2827C22semidirect
57. #2826C22semidirect
58. #2825C22semidirect
59. #2824C22semidirect
60. #2808C22semidirect
61. #2803C22semidirect
62. #2803C22semidirect
63. #2800C22semidirect
64. #2800C22semidirect
65. #2797C22semidirect
66. #2788C22semidirect
67. #2788C22semidirect
68. #2787C22semidirect
69. #2784C22semidirect
70. #2781C22semidirect
71. #2770C22semidirect
72. #2768C22semidirect
73. #2749C22semidirect
74. #2736C22semidirect
75. #2735C22semidirect
76. #2735C22semidirect
77. #2735C22semidirect
78. #2727C22semidirect
79. #2715C22semidirect
80. #2710C22semidirect
81. #2702C22semidirect
82. #2696C22semidirect
83. #2686C22semidirect
84. #2684C22semidirect
85. #2668C22semidirect
86. #2666C22semidirect
87. #2665C22semidirect
88. #2662C22semidirect
89. #2662C22semidirect
90. #2661C22semidirect
91. #2653C22semidirect
92. #2653C22semidirect
93. #2652C22semidirect
94. #2652C22semidirect
95. #2651C22semidirect
96. #2651C22semidirect
97. #2651C22semidirect
98. #2649C22semidirect
99. #2649C22semidirect
100. #2648C22semidirect
101. #2648C22semidirect
102. #2644C22semidirect
103. #2643C22semidirect
104. #2640C22semidirect
105. #2639C22semidirect
106. #2628C22semidirect
107. #2627C22semidirect
108. #2626C22semidirect
109. #2624C22semidirect
110. #2623C22semidirect
111. #2622C22semidirect
112. #2621C22semidirect
113. #2620C22semidirect
114. #2618C22semidirect
115. #2618C22semidirect
118. #2593C22semidirect
119. #2593C22semidirect
120. #2592C22semidirect
121. #2589C22semidirect
122. #2587C22semidirect
123. #2586C22semidirect
124. #2581C22semidirect
125. #2578C22semidirect
126. #2576C22semidirect
127. #2567C22semidirect
128. #2564C22semidirect
129. #2563C22semidirect
130. #2561C22semidirect
131. #2555C22semidirect
132. #2554C22semidirect
133. #2546C22semidirect
134. #2545C22semidirect
135. #2543C22semidirect
136. #2538C22semidirect
137. #2536C22semidirect
138. #2534C22semidirect
139. #2513C22semidirect
140. #2513C22semidirect
141. #2512C22semidirect
142. #2510C22semidirect
143. #2510C22semidirect
144. #2504C22semidirect
145. #2498C22semidirect
146. #2496C22semidirect
147. #2495C22semidirect
148. #2494C22semidirect
149. #2492C22semidirect
150. #2492C22semidirect
151. #2491C22semidirect
152. #2491C22semidirect
153. #2488C22semidirect
154. #2488C22semidirect
155. #2486C22semidirect
156. #2486C22semidirect
157. #2482C22semidirect
158. #2481C22semidirect
159. #2480C22semidirect
160. #2480C22semidirect
161. #2480C22semidirect
162. #2480C22semidirect
163. #2472C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2451C22semidirect
167. #2449C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2444C22semidirect
171. #2444C22semidirect
172. #2440C22semidirect
173. #2438C22semidirect
174. #2436C22semidirect
179. #2429C22semidirect
180. #2429C22semidirect
181. #2426C22semidirect
182. #2425C22semidirect
183. #2425C22semidirect
184. #2424C22semidirect
185. #2421C22semidirect
186. #2421C22semidirect
187. #2418C22semidirect
188. #2418C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2413C22semidirect
194. #2413C22semidirect
195. #2411C22semidirect
198. #2409C22semidirect
205. #2401C22semidirect
206. #2398C22semidirect
207. #2396C22semidirect
208. #2395C22semidirect
209. #2392C22semidirect
210. #2392C22semidirect
211. C2×#398C22semidirect
212. C2×#397C22semidirect
213. C2×#397C22semidirect
214. C2×#396C22semidirect
216. C2×#395C22semidirect
218. C2×#393C22semidirect
219. #2365C22semidirect
220. #2364C22semidirect
221. #2362C22semidirect
222. #2360C22semidirect
223. #2359C22semidirect
224. #2359C22semidirect
225. #2352C22semidirect
226. #2349C22semidirect
227. #2349C22semidirect
228. #2349C22semidirect
229. D4×C4⋊C4C22semidirect
230. #2344C22semidirect
234. #2339C22semidirect
235. #2339C22semidirect
242. #2327C22semidirect
243. #2325C22semidirect
244. #2323C22semidirect
245. #2322C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#123C22semidirect
256. #2290C22semidirect
257. C2×#387C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#429912
#429832
#429822
#428582
#428572
#428392
#428352
#421912
#420232
#419632
#408932
#408882
#408712
#408662
#375172
#375142
#374972
#374922
#366702
C2×#28302
#360202
#359762
#359392
#358732
#358212
#357502
#357392
#342892
#342582