Finite Group Databasebeta

← #7681019

Subgroups — #7681019

Order 512.

5634 conjugacy classes of subgroups.

The subgroup lattice has 1801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59647C211yesmaximal, characteristic, complemented
5#59640C211yesmaximal, characteristic, complemented
6#59639C211yesmaximal, characteristic, complemented
7#59450C211yesmaximal, characteristic, complemented
8#59444C211yesmaximal, characteristic, complemented
9#59024C212yesmaximal, complemented
10#59023C212yesmaximal, complemented
11#59020C212yesmaximal, complemented
12#59019C212yesmaximal, complemented
13#45367C212yesmaximal, complemented
14#45147C212yesmaximal, complemented
15#44995C212yesmaximal, complemented
16#44876C212yesmaximal, complemented
17#44249C214yesmaximal, complemented
18#44227C214yesmaximal, complemented
19#40349C214yesmaximal, complemented
20#39929C212yesmaximal, complemented
21#39906C212yesmaximal, complemented
22#38732C214yesmaximal, complemented
23#36518C212yesmaximal, complemented
24#36424C212yesmaximal, complemented
25#35561C212yesmaximal, complemented
26#35561C212yesmaximal, complemented
27#35197C212yesmaximal, complemented
28#35190C211yesmaximal, characteristic, complemented
29#34936C211yesmaximal, characteristic, complemented
30#34912C211yesmaximal, characteristic, complemented
31#34330C212yesmaximal, complemented
32#34226C211yesmaximal, characteristic, complemented
33#34194C211yesmaximal, characteristic, complemented
34#34127C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#550C2212yes—
40C2×#547C2212yescomplemented
41C2×#535C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#525C2212yes—
44C2×#525C2212yes—
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2854C2214yescomplemented
48#2850C2212yescomplemented
49#2850C2214yescomplemented
50#2850C2212yescomplemented
51#2803C2214yescomplemented
52#2798C2214yescomplemented
53#2797C2214yescomplemented
54#2777C2214yescomplemented
55#2771C2214yescomplemented
56#2756C2214yes—
57#2749C2214yes—
58#2743C2214yescomplemented
59#2740C2214yescomplemented
60#2738C2214yescomplemented
61#2732C2214yescomplemented
62#2714C2214yescomplemented
63#2707C2214yes—
64#2699C2214yes—
65#2697C2214yes—
66#2696C2214yes—
67#2694C2214yescomplemented
68#2693C2214yes—
69#2688C2214yes—
70#2687C2214yes—
71#2685C2214yes—
72#2682C2214yescomplemented
73#2678C2214yes—
74#2668C2214yes—
75#2648C2214yescomplemented
76#2648C2214yescomplemented
77#2635C2214yes—
78#2608C2212yes—
79#2607C2212yes—
80#2606C2212yescomplemented
81#2605C2212yescomplemented
82#2600C2214yescomplemented
83#2598C2214yescomplemented
84#2596C2214yescomplemented
85#2592C2212yes—
86#2592C2212yescomplemented
87#2575C2214yescomplemented
88#2571C2212yescomplemented
89#2570C2211yescharacteristic, complemented
90#2570C2211yescharacteristic, complemented
91#2568C2211yescharacteristic, complemented
92#2564C2214yescomplemented
93#2560C2214yescomplemented
94#2560C2214yescomplemented
95#2558C2214yes—
96#2558C2214yescomplemented
97#2558C2214yescomplemented
98#2556C2214yescomplemented
99#2554C2214yes—
100#2553C2214yes—
101#2552C2212yescomplemented
102#2552C2212yescomplemented
103#2550C2211yescharacteristic, complemented
104#2550C2211yescharacteristic, complemented
105#2548C2212yes—
106#2548C2211yescharacteristic, complemented
107#2544C2212yes—
108#2544C2212yes—
109#2543C2214yes—
110#2542C2211yescharacteristic
111#2542C2211yescharacteristic
112#2542C2211yescharacteristic, complemented
113#2541C2212yes—
114#2541C2211yescharacteristic
115#2541C2211yescharacteristic
116#2541C2211yescharacteristic, complemented
117#2540C2212yes—
118#2540C2212yes—
119#2539C2214yes—
120#2538C2212yes—
121#2538C2212yescomplemented
122#2538C2212yescomplemented
123#2538C2212yescomplemented
124#2537C2212yescomplemented
125#2536C2212yescomplemented
126#2535C2212yescomplemented
127#2534C2214yes—
128#2531C2214yescomplemented
129#2531C2214yescomplemented
130#2526C2214yescomplemented
131#2526C2214yescomplemented
132#2519C2214yescomplemented
133#2513C2212yes—
134#2513C2212yescomplemented
135#2512C2212yes—
136#2512C2212yescomplemented
137#2511C2212yescomplemented
138#2511C2212yescomplemented
139#2504C2212yescomplemented
140#2503C2212yescomplemented
141#2501C2212yes—
142#2500C2212yes—
143#2500C2212yescomplemented
144#2499C2212yescomplemented
145#2498C2214yescomplemented
146#2492C2212yescomplemented
147#2491C2212yescomplemented
148#2490C2212yescomplemented
149#2489C2212yescomplemented
150#2479C2214yescomplemented
151#2472C2214yes—
152#2471C2214yes—
153#2466C2214yescomplemented
154#2466C2214yescomplemented
155#2461C2214yes—
156#2460C2214yescomplemented
157#2460C2214yescomplemented
158#2459C2214yescomplemented
159#2457C2214yes—
160#2457C2214yescomplemented
161#2457C2214yescomplemented
162#2456C2214yescomplemented
163#2454C2214yescomplemented
164#2450C2214yescomplemented
165#2450C2214yescomplemented
166#2447C2212yes—
167#2447C2212yescomplemented
168#2445C2212yes—
169#2445C2212yes—
170#2445C2212yes—
171#2445C2212yescomplemented
172#2441C2211yescharacteristic
173#2441C2211yescharacteristic
174#2439C2211yescharacteristic
175#2439C2211yescharacteristic
176#2433C2212yes—
177#2431C2212yes—
178#2430C2214yes—
179#2427C2214yescomplemented
180#2424C2214yes—
181#2421C2212yescomplemented
182#2421C2212yescomplemented
183#2420C2214yescomplemented
184#2420C2212yescomplemented
185#2420C2212yescomplemented
186#2419C2214yescomplemented
187#2419C2214yescomplemented
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2417C2212yescomplemented
191#2416C2212yescomplemented
192#2416C2212yescomplemented
193#2416C2212yescomplemented
194#2415C2212yescomplemented
195#2414C2212yescomplemented
196#2407C2212yes—
197#2407C2212yes—
198#2407C2214yescomplemented
199#2404C2214yes—
200#2397C2214yes—
201#2396C2212yes—
202#2396C2212yes—
203#2367C2212yescomplemented
204#2367C2212yescomplemented
205#2366C2212yes—
206#2366C2212yes—
207#2366C2212yescomplemented
208#2364C2214yescomplemented
209#2364C2214yescomplemented
210#2363C2212yes—
211#2363C2212yes—
212#2363C2214yescomplemented
213#2363C2212yescomplemented
214#2362C2212yescomplemented
215#2361C2212yescomplemented
216#2360C2212yescomplemented
217#2357C2212yes—
218#2357C2212yescomplemented
219#2357C2212yescomplemented
220#2355C2212yescomplemented
221#2355C2211yescharacteristic, complemented
222#2355C2211yescharacteristic, complemented
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2212yescomplemented
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230#2349C2212yescomplemented
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic, complemented
234D4×C4⋊C4C2211yescharacteristic, complemented
235#2347C2212yes—
236#2345C2212yes—
237#2343C2214yescomplemented
238#2342C2214yes—
239#2341C2212yes—
240#2339C2212yes—
241#2339C2212yes—
242#2339C2214yescomplemented
243D4×C22⋊C4C2212yes—
244#2333C2214yescomplemented
245#2333C2214yescomplemented
246#2328C2211yescharacteristic
247#2328C2211yescharacteristic
248#2328C2212yescomplemented
249#2326C2211yescharacteristic
250#2326C2211yescharacteristic
251#2326C2212yescomplemented
252#2324C2212yes—
253#2324C2212yes—
254#2324C2212yes—
255#2324C2212yes—
256#2321C2212yes—
257#2321C2212yes—
258#2319C2212yes—
259#2319C2212yescomplemented
260#2318C2214yes—
261#2317C2211yescharacteristic
262#2311C2211yescharacteristic
263#2309C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×#127C2212yes—
269C4×#127C2211yescharacteristic
270C4×#127C2211yescharacteristic
271C4×#127C2212yes—
272C4×#127C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic, complemented
274C4×#125C2211yescharacteristic, complemented
275C4×#125C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2214yescomplemented
281C4×#120C2212yes—
282C4×#120C2212yes—
283#2297C2214yescomplemented
284#2295C2212yescomplemented
285#2295C2212yescomplemented
286#2295C2212yescomplemented
287#2290C2214yes—
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2212yescomplemented
291#2280C2212yes—
292C2×#380C2212yes—
293#2275C2212yes—
294#2275C2212yescomplemented
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#554—48no—
305#553—48no—
306#552—48no—
307#550—216no—
308#547—48no—
309#535—28no—
310#532—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331#525—48no—
332#525—48no—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#120C2312yes—
364C2×#120C2312yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C4×#41—28no—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×D4—28no—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2314yes—
417C2×#117C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2312yes—
426C22×C42C2314yes—
427C22×C42C2311yescharacteristic
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2312yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2312yes—
477#395C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2312yes—
498#393C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#383C2312yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2312yes—
733#381C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2314yes—
753#379C2312yes—
754#379C2312yes—
755#379C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2314yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—24no—
823C2×#41—216no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—48no—
830C2×#41—84no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C23×C4—28no—
858C23×C4—44no—
859C23×C4—44no—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2411yescharacteristic
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881#127—24no—
882#127—28no—
883#127—28no—
884#127—24no—
885#127—44no—
886#127#4118yescomplemented
887#126—48no—
888#126—48no—
889#125—24no—
890#125—24no—
891#125—48no—
892#125—48no—
893#124—24no—
894#124—28no—
895#124—24no—
896#124—44no—
897#124—84no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—48no—
903#123—48no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—48no—
913#121—28no—
914#121—28no—
915#121—216no—
916#121—216no—
917#121—216no—
918#121—28no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—44no—
927#121—84no—
928#120—28no—
929#120—28no—
930#120—48no—
931#120—48no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—28no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—84no—
969C4×D4—82no—
970C4×D4—82no—
971#117—24no—
972#117—24no—
973#117—24no—
974#117—28no—
975#117—24no—
976#117—42no—
977#117—44no—
978#117—48no—
979#117—44no—
980#117—82no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C22⋊C4—28no—
1048C2×C22⋊C4—84no—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C42—28no—
1114C2×C42—84no—
1115C2×C42#4118yescomplemented
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—24no—
1213C24—24no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24C2512yes—
1220C24C2514yes—
1221C24C2511yescharacteristic
1222C24C2512yes—
1223C24C2512yes—
1224#41—416no—
1225#41—816no—
1226#41—832no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—416no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4C2×#4114yes—
1294C2×D4C2×#4114yes—
1295C2×D4C2×#4118yes—
1296C2×D4C2×#4118yes—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—28no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—816no—
1349C22×C4C2×#4114yes—
1350C22×C4C2×#4114yes—
1351C22×C4C2×#4114yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2514yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—28no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4H(5,𝔽2)14yes—
1442C4⋊C4H(5,𝔽2)14yes—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—22no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—42no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—42no—
1528C42—41no—
1529C42—41no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—41no—
1535C42—41no—
1536C42C2×#4114yes—
1537C42C2×#4114yes—
1538C42C2×#4114yes—
1539C42C2×#4114yes—
1540C42C2×#4114yes—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—24no—
1565C23—24no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—24no—
1572C23—22no—
1573C23—48no—
1574C23—48no—
1575C23—84no—
1576C23—84no—
1577C23—84no—
1578C23—84no—
1579C23—84no—
1580C23C22×#4114yes—
1581C23C22×#4114yes—
1582C23C22×#4112yes—
1583C23C2611yescharacteristic
1584Q8—48no—
1585Q8—44no—
1586Q8—48no—
1587Q8—84no—
1588D4—28no—
1589D4—28no—
1590D4—48no—
1591D4—48no—
1592D4—48no—
1593D4—416no—
1594D4—48no—
1595D4—48no—
1596D4—48no—
1597D4—44no—
1598D4—48no—
1599D4—88no—
1600D4—84no—
1601D4—88no—
1602D4—84no—
1603D4—88no—
1604D4—88no—
1605D4—88no—
1606D4—88no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—28no—
1624C2×C4—28no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—416no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—88no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4—84no—
1698C2×C4—88no—
1699C2×C4—164no—
1700C2×C4—164no—
1701C2×C4C22×#4112yes—
1702C2×C4C22×#4112yes—
1703C2×C4C22×#4112yes—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C22×#4112yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4112yes—
1710C2×C4C2×H(5,𝔽2)14yes—
1711C2×C4C2×H(5,𝔽2)14yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4#58512yes—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—24no—
1723C22—24no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—44no—
1737C22—42no—
1738C22—44no—
1739C22—42no—
1740C22—42no—
1741C22—44no—
1742C22—44no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—44no—
1750C22—816no—
1751C22C23×#4111yescharacteristic
1752C22C23×#4111yescharacteristic
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22H(7,𝔽2)11yescharacteristic
1757C222−1+611yescharacteristic
1758C4—24no—
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—24no—
1765C4—22no—
1766C4—44no—
1767C4—42no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—44no—
1778C4—41no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4#347514yes—
1787C4#350814yes—
1788C2—44no—
1789C2—44no—
1790C2—42no—
1791C2—84no—
1792C2—82no—
1793C2C2×#347511yescharacteristic
1794C2C2×#350811yescharacteristic
1795C2#6284511yescharacteristic
1796C2#6292011yescharacteristic
1797C2#6292211yescharacteristic
1798C2#6298311yescharacteristic
1799C2#6298411yescharacteristic
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. #59823C2semidirect
2. #59815C2semidirect
3. #59680C2semidirect
4. #59647C2semidirect
5. #59640C2semidirect
6. #59639C2semidirect
7. #59450C2semidirect
8. #59444C2semidirect
9. #59024C2semidirect
10. #59023C2semidirect
11. #59020C2semidirect
12. #59019C2semidirect
13. #45367C2semidirect
14. #45147C2semidirect
15. #44995C2semidirect
16. #44876C2semidirect
17. #44249C2semidirect
18. #44227C2semidirect
19. #40349C2semidirect
20. #39929C2semidirect
21. #39906C2semidirect
22. #38732C2semidirect
23. #36518C2semidirect
24. #36424C2semidirect
25. #35561C2semidirect
26. #35561C2semidirect
27. #35197C2semidirect
28. #35190C2semidirect
29. #34936C2semidirect
30. #34912C2semidirect
31. #34330C2semidirect
32. #34226C2semidirect
33. #34194C2semidirect
34. #34127C2semidirect
35. C4×#535C2semidirect
36. C2×#554C22semidirect
37. C2×#553C22semidirect
38. C2×#552C22semidirect
40. C2×#547C22semidirect
47. #2854C22semidirect
48. #2850C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2803C22semidirect
52. #2798C22semidirect
53. #2797C22semidirect
54. #2777C22semidirect
55. #2771C22semidirect
58. #2743C22semidirect
59. #2740C22semidirect
60. #2738C22semidirect
61. #2732C22semidirect
62. #2714C22semidirect
67. #2694C22semidirect
72. #2682C22semidirect
75. #2648C22semidirect
76. #2648C22semidirect
80. #2606C22semidirect
81. #2605C22semidirect
82. #2600C22semidirect
83. #2598C22semidirect
84. #2596C22semidirect
86. #2592C22semidirect
87. #2575C22semidirect
88. #2571C22semidirect
89. #2570C22semidirect
90. #2570C22semidirect
91. #2568C22semidirect
92. #2564C22semidirect
93. #2560C22semidirect
94. #2560C22semidirect
96. #2558C22semidirect
97. #2558C22semidirect
98. #2556C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
103. #2550C22semidirect
104. #2550C22semidirect
106. #2548C22semidirect
112. #2542C22semidirect
116. #2541C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2537C22semidirect
125. #2536C22semidirect
126. #2535C22semidirect
128. #2531C22semidirect
129. #2531C22semidirect
130. #2526C22semidirect
131. #2526C22semidirect
132. #2519C22semidirect
134. #2513C22semidirect
136. #2512C22semidirect
137. #2511C22semidirect
138. #2511C22semidirect
139. #2504C22semidirect
140. #2503C22semidirect
143. #2500C22semidirect
144. #2499C22semidirect
145. #2498C22semidirect
146. #2492C22semidirect
147. #2491C22semidirect
148. #2490C22semidirect
149. #2489C22semidirect
150. #2479C22semidirect
153. #2466C22semidirect
154. #2466C22semidirect
156. #2460C22semidirect
157. #2460C22semidirect
158. #2459C22semidirect
160. #2457C22semidirect
161. #2457C22semidirect
162. #2456C22semidirect
163. #2454C22semidirect
164. #2450C22semidirect
165. #2450C22semidirect
167. #2447C22semidirect
171. #2445C22semidirect
179. #2427C22semidirect
181. #2421C22semidirect
182. #2421C22semidirect
183. #2420C22semidirect
184. #2420C22semidirect
185. #2420C22semidirect
186. #2419C22semidirect
187. #2419C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
191. #2416C22semidirect
192. #2416C22semidirect
193. #2416C22semidirect
194. #2415C22semidirect
195. #2414C22semidirect
198. #2407C22semidirect
203. #2367C22semidirect
204. #2367C22semidirect
207. #2366C22semidirect
208. #2364C22semidirect
209. #2364C22semidirect
212. #2363C22semidirect
213. #2363C22semidirect
214. #2362C22semidirect
215. #2361C22semidirect
216. #2360C22semidirect
218. #2357C22semidirect
219. #2357C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
225. #2354C22semidirect
230. #2349C22semidirect
233. D4×C4⋊C4C22semidirect
234. D4×C4⋊C4C22semidirect
237. #2343C22semidirect
242. #2339C22semidirect
244. #2333C22semidirect
245. #2333C22semidirect
248. #2328C22semidirect
251. #2326C22semidirect
259. #2319C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
272. C4×#127C22semidirect
273. C4×#127C22semidirect
274. C4×#125C22semidirect
275. C4×#125C22semidirect
280. C4×#121C22semidirect
283. #2297C22semidirect
284. #2295C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
290. #2283C22semidirect
294. #2275C22semidirect
295. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
886. #127#41semidirect
1115. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#598232
#598152
#596802
#596472
#596402
#596392
#594502
#594442
#590242
#590232
#590202
#590192
#453672
#451472
#449952
#448762
#442492
#442272
#403492
#399292
#399062
#387322
#365182
#364242
#355612
#351972
#351902
#349362
#349122
#343302
#342262
#341942
#341272
C4×#5352