Finite Group Databasebeta

← #7680341

Subgroups — #7680341

Order 512.

5041 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59645C212yesmaximal, complemented
2#59644C212yesmaximal, complemented
3#59639C212yesmaximal, complemented
4#59626C214yesmaximal, complemented
5#59625C214yesmaximal, complemented
6#59450C212yesmaximal, complemented
7#45222C212yesmaximal, complemented
8#45201C212yesmaximal, complemented
9#45168C212yesmaximal, complemented
10#45167C212yesmaximal, complemented
11#43710C214yesmaximal, complemented
12#43325C214yesmaximal, complemented
13#39274C212yesmaximal, complemented
14#39274C212yesmaximal, complemented
15#39269C212yesmaximal, complemented
16#39268C212yesmaximal, complemented
17#39203C212yesmaximal, complemented
18#39197C212yesmaximal, complemented
19#36537C212yesmaximal, complemented
20#36454C212yesmaximal, complemented
21#35634C211yesmaximal, characteristic
22#35628C211yesmaximal, characteristic, complemented
23#35618C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35312C211yesmaximal, characteristic, complemented
26#35311C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28#34813C211yesmaximal, characteristic, complemented
29C2×#2421C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34266C211yesmaximal, characteristic, complemented
32#34215C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2862C2212yescomplemented
49#2861C2212yescomplemented
50#2855C2212yes—
51#2855C2212yes—
52#2855C2212yescomplemented
53#2854C2212yescomplemented
54#2808C2214yescomplemented
55#2804C2214yescomplemented
56#2803C2214yes—
57#2798C2214yes—
58#2798C2214yes—
59#2798C2214yescomplemented
60#2798C2214yescomplemented
61#2798C2214yescomplemented
62#2797C2214yes—
63#2797C2214yes—
64#2796C2214yes—
65#2794C2214yescomplemented
66#2794C2214yescomplemented
67#2773C2214yescomplemented
68#2771C2214yes—
69#2771C2214yescomplemented
70#2771C2214yescomplemented
71#2754C2214yes—
72#2754C2214yescomplemented
73#2754C2214yescomplemented
74#2751C2214yes—
75#2751C2214yes—
76#2751C2214yes—
77#2712C2214yes—
78#2642C2212yescomplemented
79#2640C2212yescomplemented
80#2625C2212yes—
81#2625C2212yes—
82#2625C2212yescomplemented
83#2624C2212yescomplemented
84#2607C2214yescomplemented
85#2602C2214yes—
86#2600C2214yes—
87#2597C2214yescomplemented
88#2597C2214yescomplemented
89#2597C2214yescomplemented
90#2596C2214yes—
91#2596C2214yescomplemented
92#2596C2214yescomplemented
93#2595C2214yes—
94#2595C2214yes—
95#2595C2214yes—
96#2593C2214yescomplemented
97#2592C2214yes—
98#2592C2212yescomplemented
99#2592C2212yescomplemented
100#2589C2214yes—
101#2589C2214yescomplemented
102#2575C2214yes—
103#2575C2214yescomplemented
104#2575C2214yescomplemented
105#2575C2214yescomplemented
106#2571C2214yescomplemented
107#2570C2214yescomplemented
108#2568C2212yescomplemented
109#2568C2212yescomplemented
110#2563C2212yes—
111#2562C2212yes—
112#2562C2212yes—
113#2557C2214yes—
114#2547C2212yes—
115#2542C2212yes—
116#2542C2212yes—
117#2542C2212yes—
118#2542C2212yes—
119#2540C2212yes—
120#2540C2212yes—
121#2540C2212yes—
122#2540C2212yes—
123#2539C2214yes—
124#2517C2214yes—
125#2517C2214yescomplemented
126#2516C2214yes—
127#2513C2214yes—
128#2513C2214yes—
129#2513C2214yes—
130#2511C2214yescomplemented
131#2511C2214yescomplemented
132#2511C2214yescomplemented
133#2504C2212yescomplemented
134#2503C2212yes—
135#2503C2212yescomplemented
136#2502C2212yes—
137#2501C2214yes—
138#2500C2212yescomplemented
139#2499C2212yes—
140#2499C2212yes—
141#2499C2212yescomplemented
142#2492C2211yescharacteristic
143#2492C2211yescharacteristic
144#2492C2212yes—
145#2492C2212yescomplemented
146#2492C2212yescomplemented
147#2492C2212yescomplemented
148#2492C2212yescomplemented
149#2491C2211yescharacteristic
150#2491C2211yescharacteristic
151#2491C2212yes—
152#2490C2211yescharacteristic
153#2490C2212yes—
154#2490C2211yescharacteristic
155#2489C2211yescharacteristic
156#2489C2212yes—
157#2489C2211yescharacteristic
158#2489C2212yescomplemented
159#2489C2212yescomplemented
160#2489C2212yescomplemented
161#2489C2212yescomplemented
162#2488C2214yes—
163#2488C2214yes—
164#2488C2214yes—
165#2488C2212yes—
166#2488C2214yes—
167#2488C2214yes—
168#2488C2212yes—
169#2484C2214yes—
170#2483C2214yes—
171#2472C2212yes—
172#2472C2214yes—
173#2472C2212yes—
174#2459C2214yes—
175#2458C2214yescomplemented
176#2447C2214yes—
177#2447C2214yes—
178#2444C2214yes—
179#2444C2214yes—
180#2444C2214yes—
181#2443C2214yes—
182#2423C2212yescomplemented
183#2422C2212yescomplemented
184#2421C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2421C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2421C2212yescomplemented
193#2421C2212yescomplemented
194#2421C2212yescomplemented
195#2420C2212yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2398C2212yes—
199#2398C2212yes—
200C2×#400C2212yes—
201C2×#397C2212yes—
202#2374C2214yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2369C2212yescomplemented
206#2368C2214yes—
207#2368C2214yes—
208#2368C2214yes—
209#2367C2214yes—
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2365C2212yescomplemented
213#2365C2212yescomplemented
214#2365C2212yescomplemented
215#2363C2211yescharacteristic
216#2363C2211yescharacteristic
217#2362C2211yescharacteristic
218#2362C2211yescharacteristic
219#2362C2212yescomplemented
220#2362C2212yescomplemented
221#2361C2211yescharacteristic
222#2361C2211yescharacteristic
223#2360C2211yescharacteristic
224#2360C2211yescharacteristic
225#2360C2214yes—
226#2360C2212yescomplemented
227#2360C2212yescomplemented
228#2359C2212yes—
229#2359C2212yes—
230#2359C2214yes—
231#2358C2212yes—
232#2358C2214yes—
233#2358C2212yes—
234#2357C2214yes—
235#2355C2212yescomplemented
236#2355C2214yescomplemented
237#2355C2212yescomplemented
238#2355C2212yescomplemented
239#2355C2212yescomplemented
240#2354C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243D4×C4⋊C4C2212yes—
244#2331C2212yescomplemented
245#2331C2212yescomplemented
246#2331C2212yescomplemented
247#2330C2212yescomplemented
248#2327C2212yescomplemented
249#2326C2212yescomplemented
250#2324C2212yes—
251#2323C2212yes—
252#2323C2212yescomplemented
253#2323C2212yescomplemented
254#2322C2214yes—
255#2322C2214yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2310C2211yescharacteristic
263#2310C2211yescharacteristic
264C4×C4⋊Q8C2212yescomplemented
265C4×C4⋊Q8C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#125C2212yescomplemented
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yescomplemented
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2214yes—
276C4×#123C2214yes—
277C4×#121C2212yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282C2×#391C2211yescharacteristic
283#2293C2212yes—
284C2×#389C2211yescharacteristic
285#2290C2212yes—
286#2290C2212yes—
287C2×#388C2212yes—
288C2×#387C2212yes—
289C2×#382C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#544—28no—
304#537—44no—
305#536—28no—
306#536—28no—
307#533—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323#525—28no—
324#525—28no—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8—44no—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#120C2312yes—
356C2×#120C2312yes—
357#520—44no—
358C4×#41—44no—
359C2×C4×Q8—44no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×#117—44no—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2312yes—
413C22×C42C2312yes—
414C22×C42C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
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#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2312yes—
490#393C2314yes—
491#393C2312yes—
492#393C2312yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2314yes—
702#384C2312yes—
703#384C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#379C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2414yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C23×C4—24no—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C4⋊Q8—24no—
873C4⋊Q8—24no—
874C4⋊Q8—28no—
875C4⋊Q8—28no—
876C4⋊Q8—28no—
877C4⋊Q8—28no—
878#125—24no—
879#125—24no—
880#125—28no—
881#125—28no—
882#124—28no—
883#124—28no—
884#124—44no—
885#124—48no—
886#124—44no—
887#123—28no—
888#123—28no—
889#123—216no—
890#123—216no—
891#123—48no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—216no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—24no—
910#121—24no—
911#121—24no—
912#121—24no—
913#121—44no—
914#121—44no—
915#121—48no—
916#120—28no—
917#120—28no—
918C4×Q8—28no—
919C4×Q8—28no—
920C4×Q8—48no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—44no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—42no—
933C4×D4—42no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—48no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—42no—
949#117—42no—
950#117—44no—
951#117#4118yes—
952#117#4118yes—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—42no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—44no—
1086C2×C42—44no—
1087C2×C42—44no—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24C2511yescharacteristic
1205C24C2512yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C24C2511yescharacteristic
1209#41—416no—
1210#41—416no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—28no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—44no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—44no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—416no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—416no—
1321C22×C4C2×#4114yes—
1322C22×C4C2×#4114yes—
1323C22×C4H(5,𝔽2)14yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4C2×#4114yes—
1408C4⋊C4C2×#4114yes—
1409C4⋊C4C2×#4114yes—
1410C4⋊C4C2×#4114yes—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—28no—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—44no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4C2×#4118yes—
1469C22⋊C4C2×#4118yes—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—42no—
1491C42—42no—
1492C42—44no—
1493C42—42no—
1494C42—42no—
1495C42—44no—
1496C42—42no—
1497C42—44no—
1498C42—42no—
1499C42—44no—
1500C42—44no—
1501C42—42no—
1502C42—44no—
1503C42C2×#4118yes—
1504C42C2×#4118yes—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—21no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23C22×#4112yes—
1544C23C22×#4112yes—
1545C23C2×H(5,𝔽2)12yes—
1546C23#58512yes—
1547C23C2611yescharacteristic
1548Q8—48no—
1549Q8—48no—
1550Q8—44no—
1551Q8—44no—
1552Q8—84no—
1553Q8—84no—
1554Q8—88no—
1555D4—48no—
1556D4—48no—
1557D4—48no—
1558D4—48no—
1559D4—44no—
1560D4—44no—
1561D4—84no—
1562D4—84no—
1563D4—164no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—48no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—84no—
1653C2×C4—82no—
1654C2×C4—82no—
1655C2×C4—84no—
1656C2×C4—82no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—164no—
1663C2×C4#559116yes—
1664C2×C4C22×#4114yes—
1665C2×C4C22×#4114yes—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4#58512yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—88no—
1710C22C2×#55914yes—
1711C22C23×#4111yescharacteristic
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C222−1+611yescharacteristic
1717C222−1+611yescharacteristic
1718C4—24no—
1719C4—24no—
1720C4—24no—
1721C4—24no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—44no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—41no—
1738C4—44no—
1739C4—42no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—44no—
1746C4C2×#55914yes—
1747C4C2×#55914yes—
1748C2—24no—
1749C2—42no—
1750C2—82no—
1751C2—82no—
1752C2—81no—
1753C2C22×#55911yescharacteristic
1754C2#6281011yescharacteristic
1755C2#6286111yescharacteristic
1756C2#6295411yescharacteristic
1757C2#6295411yescharacteristic
1758C2#6299311yescharacteristic
1759C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35634C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59645C2semidirect
2. #59644C2semidirect
3. #59639C2semidirect
4. #59626C2semidirect
5. #59625C2semidirect
6. #59450C2semidirect
7. #45222C2semidirect
8. #45201C2semidirect
9. #45168C2semidirect
10. #45167C2semidirect
11. #43710C2semidirect
12. #43325C2semidirect
13. #39274C2semidirect
14. #39274C2semidirect
15. #39269C2semidirect
16. #39268C2semidirect
17. #39203C2semidirect
18. #39197C2semidirect
19. #36537C2semidirect
20. #36454C2semidirect
22. #35628C2semidirect
23. #35618C2semidirect
24. #35542C2semidirect
25. #35312C2semidirect
26. #35311C2semidirect
27. #35255C2semidirect
28. #34813C2semidirect
29. C2×#2421C2semidirect
30. #34272C2semidirect
31. #34266C2semidirect
32. #34215C2semidirect
33. #34202C2semidirect
34. #34136C2semidirect
35. C4×#536C2semidirect
48. #2862C22semidirect
49. #2861C22semidirect
52. #2855C22semidirect
53. #2854C22semidirect
54. #2808C22semidirect
55. #2804C22semidirect
59. #2798C22semidirect
60. #2798C22semidirect
61. #2798C22semidirect
65. #2794C22semidirect
66. #2794C22semidirect
67. #2773C22semidirect
69. #2771C22semidirect
70. #2771C22semidirect
72. #2754C22semidirect
73. #2754C22semidirect
78. #2642C22semidirect
79. #2640C22semidirect
82. #2625C22semidirect
83. #2624C22semidirect
84. #2607C22semidirect
87. #2597C22semidirect
88. #2597C22semidirect
89. #2597C22semidirect
91. #2596C22semidirect
92. #2596C22semidirect
96. #2593C22semidirect
98. #2592C22semidirect
99. #2592C22semidirect
101. #2589C22semidirect
103. #2575C22semidirect
104. #2575C22semidirect
105. #2575C22semidirect
106. #2571C22semidirect
107. #2570C22semidirect
108. #2568C22semidirect
109. #2568C22semidirect
125. #2517C22semidirect
130. #2511C22semidirect
131. #2511C22semidirect
132. #2511C22semidirect
133. #2504C22semidirect
135. #2503C22semidirect
138. #2500C22semidirect
141. #2499C22semidirect
145. #2492C22semidirect
146. #2492C22semidirect
147. #2492C22semidirect
148. #2492C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
160. #2489C22semidirect
161. #2489C22semidirect
175. #2458C22semidirect
182. #2423C22semidirect
183. #2422C22semidirect
192. #2421C22semidirect
193. #2421C22semidirect
194. #2421C22semidirect
195. #2420C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
202. #2374C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2369C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2365C22semidirect
213. #2365C22semidirect
214. #2365C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
226. #2360C22semidirect
227. #2360C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
237. #2355C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
244. #2331C22semidirect
245. #2331C22semidirect
246. #2331C22semidirect
247. #2330C22semidirect
248. #2327C22semidirect
249. #2326C22semidirect
252. #2323C22semidirect
253. #2323C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect
268. C4×#125C22semidirect
271. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596452
#596442
#596392
#596262
#596252
#594502
#452222
#452012
#451682
#451672
#437102
#433252
#392742
#392692
#392682
#392032
#391972
#365372
#364542
#356342
#356282
#356182
#355422
#353122
#353112
#352552
#348132
C2×#24212
#342722
#342662
#342152
#342022
#341362
C4×#5362