Finite Group Databasebeta

← #7652450

Subgroups — #7652450

Order 512.

4955 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42725C212yesmaximal, complemented
2#42694C212yesmaximal, complemented
3#42693C212yesmaximal, complemented
4#42621C212yesmaximal, complemented
5#42607C212yesmaximal, complemented
6#42571C212yesmaximal, complemented
7#42515C212yesmaximal, complemented
8#42514C212yesmaximal, complemented
9#40756C214yesmaximal, complemented
10#40727C214yesmaximal, complemented
11#40174C212yesmaximal, complemented
12#40047C212yesmaximal, complemented
13#40003C212yesmaximal, complemented
14#40003C212yesmaximal, complemented
15#39792C212yesmaximal, complemented
16#39221C212yesmaximal, complemented
17#39194C212yesmaximal, complemented
18#39193C212yesmaximal, complemented
19#38566C214yesmaximal, complemented
20#38547C214yesmaximal, complemented
21#35639C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35531C211yesmaximal, characteristic, complemented
25#35515C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic
27#35335C211yesmaximal, characteristic, complemented
28#35262C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31C2×#2490C211yesmaximal, characteristic, complemented
32#34739C211yesmaximal, characteristic, complemented
33#34255C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34202C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2859C2212yescomplemented
46#2859C2212yescomplemented
47#2854C2212yes—
48#2854C2212yes—
49#2852C2214yes—
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2832C2214yescomplemented
53#2829C2214yescomplemented
54#2801C2214yescomplemented
55#2801C2214yescomplemented
56#2800C2214yescomplemented
57#2800C2214yescomplemented
58#2798C2214yescomplemented
59#2798C2214yescomplemented
60#2779C2214yescomplemented
61#2779C2214yescomplemented
62#2773C2214yescomplemented
63#2773C2214yescomplemented
64#2757C2214yescomplemented
65#2757C2214yescomplemented
66#2747C2214yescomplemented
67#2746C2214yescomplemented
68#2745C2214yescomplemented
69#2742C2214yescomplemented
70#2741C2214yescomplemented
71#2738C2214yescomplemented
72#2737C2214yescomplemented
73#2717C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2705C2214yescomplemented
77#2705C2214yescomplemented
78#2702C2214yescomplemented
79#2701C2214yescomplemented
80#2700C2214yescomplemented
81#2692C2214yescomplemented
82#2691C2214yescomplemented
83#2687C2214yescomplemented
84#2686C2214yescomplemented
85#2672C2214yescomplemented
86#2663C2214yescomplemented
87#2662C2214yescomplemented
88#2660C2212yescomplemented
89#2660C2212yescomplemented
90#2654C2214yescomplemented
91#2653C2214yescomplemented
92#2651C2214yescomplemented
93#2650C2214yescomplemented
94#2649C2214yescomplemented
95#2649C2214yescomplemented
96#2643C2214yes—
97#2632C2214yescomplemented
98#2630C2214yescomplemented
99#2625C2214yescomplemented
100#2624C2212yes—
101#2624C2212yes—
102#2624C2214yescomplemented
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2584C2212yescomplemented
109#2583C2214yes—
110#2583C2214yes—
111#2580C2212yescomplemented
112#2580C2212yescomplemented
113#2579C2214yes—
114#2548C2212yescomplemented
115#2548C2212yescomplemented
116#2538C2212yescomplemented
117#2538C2212yescomplemented
118#2537C2212yes—
119#2537C2212yes—
120#2535C2212yes—
121#2535C2212yes—
122#2525C2214yescomplemented
123#2521C2214yescomplemented
124#2514C2212yescomplemented
125#2513C2212yescomplemented
126#2512C2212yescomplemented
127#2511C2212yescomplemented
128#2504C2212yes—
129#2504C2212yescomplemented
130#2501C2212yes—
131#2501C2212yescomplemented
132#2500C2212yes—
133#2500C2212yes—
134#2500C2212yescomplemented
135#2500C2212yescomplemented
136#2497C2212yescomplemented
137#2497C2212yescomplemented
138#2497C2212yescomplemented
139#2496C2212yescomplemented
140#2496C2212yescomplemented
141#2496C2212yescomplemented
142#2495C2212yescomplemented
143#2495C2212yescomplemented
144#2495C2214yescomplemented
145#2495C2212yescomplemented
146#2494C2212yescomplemented
147#2494C2214yescomplemented
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2493C2214yes—
151#2492C2211yescharacteristic, complemented
152#2492C2211yescharacteristic, complemented
153#2491C2212yescomplemented
154#2491C2212yescomplemented
155#2491C2211yescharacteristic, complemented
156#2491C2211yescharacteristic, complemented
157#2490C2212yes—
158#2490C2212yes—
159#2490C2212yes—
160#2490C2212yes—
161#2490C2212yes—
162#2490C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2490C2211yescharacteristic, complemented
168#2490C2211yescharacteristic, complemented
169#2489C2211yescharacteristic, complemented
170#2489C2211yescharacteristic, complemented
171#2488C2212yes—
172#2488C2212yes—
173#2487C2214yes—
174#2482C2214yes—
175#2480C2214yes—
176#2479C2214yescomplemented
177#2479C2214yescomplemented
178#2472C2212yes—
179#2472C2214yes—
180#2472C2214yes—
181#2472C2212yes—
182#2470C2214yescomplemented
183#2470C2214yescomplemented
184#2461C2214yescomplemented
185#2458C2214yescomplemented
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2454C2212yescomplemented
190#2453C2212yescomplemented
191#2453C2212yescomplemented
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2442C2212yescomplemented
199#2442C2211yescharacteristic, complemented
200#2442C2212yescomplemented
201#2442C2211yescharacteristic, complemented
202#2441C2212yescomplemented
203#2441C2211yescharacteristic, complemented
204#2441C2212yescomplemented
205#2441C2211yescharacteristic, complemented
206#2440C2211yescharacteristic, complemented
207#2440C2211yescharacteristic, complemented
208#2439C2211yescharacteristic, complemented
209#2439C2211yescharacteristic, complemented
210#2438C2212yes—
211#2438C2212yes—
212#2437C2212yes—
213#2437C2214yes—
214#2437C2214yes—
215#2437C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2214yescomplemented
221#2426C2214yescomplemented
222#2418C2214yes—
223#2418C2214yes—
224#2412C2214yes—
225#2410C2214yes—
226#2405C2214yes—
227#2398C2212yescomplemented
228#2398C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#397C2212yes—
232C2×#394C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2365C2212yescomplemented
237#2359C2214yes—
238#2358C2214yes—
239#2357C2212yescomplemented
240#2357C2212yescomplemented
241#2355C2212yescomplemented
242#2355C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2212yescomplemented
245#2354C2212yescomplemented
246#2354C2212yescomplemented
247#2352C2212yescomplemented
248#2352C2212yescomplemented
249Q8×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251#2342C2214yes—
252#2342C2214yes—
253#2335C2214yescomplemented
254#2335C2214yescomplemented
255#2329C2214yes—
256#2324C2214yescomplemented
257#2324C2212yescomplemented
258#2323C2214yescomplemented
259#2323C2212yescomplemented
260#2319C2212yescomplemented
261#2319C2212yescomplemented
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2309C2211yescharacteristic
272#2309C2211yescharacteristic
273C4×#124C2212yescomplemented
274C4×#124C2212yescomplemented
275C4×C22⋊Q8C2214yes—
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yescomplemented
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2293C2212yescomplemented
285#2293C2212yescomplemented
286C2×#390C2212yes—
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#388C2212yes—
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303#535—44no—
304#533—28no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125—44no—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327#525—28no—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×#121—44no—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#120C2312yes—
355C2×#120C2314yes—
356#520—44no—
357#518—28no—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×#117—44no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2314yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2312yes—
410#401C2314yes—
411#401C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
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#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#393C2312yes—
511#393C2312yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2312yes—
517#393C2312yes—
518#393C2312yes—
519#393C2312yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#388C2314yes—
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#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#383C2314yes—
715#383C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#379C2314yes—
760#379C2314yes—
761#379C2312yes—
762#379C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—82no—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2411yescharacteristic
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—42no—
870C4⋊Q8—42no—
871#127—44no—
872#126—84no—
873#126—84no—
874#125—24no—
875#125—24no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—44no—
880#125—42no—
881#125—42no—
882#124—44no—
883#124—44no—
884#124—44no—
885#124—84no—
886#124—84no—
887#123—28no—
888#123—48no—
889#123—48no—
890#123—84no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—48no—
901C22⋊Q8—84no—
902#121—24no—
903#121—24no—
904#121—48no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—84no—
912#120—28no—
913#120—48no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—84no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—84no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—44no—
936#117—44no—
937#117—42no—
938#117—42no—
939#117—44no—
940#117—84no—
941#117—84no—
942#117#4118yes—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4—42no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—216no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4—42no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—82no—
1025C2×C22⋊C4—82no—
1026C2×C22⋊C4—82no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—44no—
1097C2×C42—82no—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—24no—
1197C24—24no—
1198C24—24no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24C2511yescharacteristic
1207C24C2514yes—
1208C24C2512yes—
1209C24C2511yescharacteristic
1210C24C2511yescharacteristic
1211#41—416no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—416no—
1258C2×D4—816no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—416no—
1314C22×C4C2×#4114yes—
1315C22×C4H(5,𝔽2)14yes—
1316C22×C42−1+414yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2514yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4C2×#4114yes—
1413C4⋊C4C2×#4114yes—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—22no—
1431C22⋊C4—28no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—44no—
1438C22⋊C4—41no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4C2×#4118yes—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—42no—
1495C42—42no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—42no—
1500C42—42no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—42no—
1505C42—42no—
1506C42—44no—
1507C42C2×#4118yes—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—24no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—21no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—21no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—21no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—48no—
1544C23—82no—
1545C23—82no—
1546C23—82no—
1547C23—84no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23C22×#4112yes—
1554C23C2×H(5,𝔽2)12yes—
1555C23C2×2−1+412yes—
1556C23#58512yes—
1557C23C2611yescharacteristic
1558Q8—48no—
1559Q8—44no—
1560Q8—84no—
1561Q8—84no—
1562Q8—84no—
1563D4—48no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—44no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—164no—
1572D4—164no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—48no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—82no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—82no—
1668C2×C4—82no—
1669C2×C4—84no—
1670C2×C4—84no—
1671C2×C4—164no—
1672C2×C4#542116yes—
1673C2×C4C22×#4114yes—
1674C2×C4C22×#4114yes—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4112yes—
1677C2×C4C2×H(5,𝔽2)12yes—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×2−1+412yes—
1680C2×C4C2×2−1+412yes—
1681C2×C4#58512yes—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—41no—
1703C22—44no—
1704C22—42no—
1705C22—41no—
1706C22—44no—
1707C22—41no—
1708C22—44no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—41no—
1716C22—88no—
1717C22—168no—
1718C22C2×#54214yes—
1719C22C23×#4111yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22H(7,𝔽2)11yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C4—22no—
1727C4—24no—
1728C4—24no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—44no—
1739C4—44no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—41no—
1746C4—41no—
1747C4—42no—
1748C4—41no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—42no—
1754C4C2×#54214yes—
1755C4C2×#54214yes—
1756C2—24no—
1757C2—42no—
1758C2—82no—
1759C2—81no—
1760C2—84no—
1761C2C22×#54211yescharacteristic
1762C2#6283111yescharacteristic
1763C2#6288111yescharacteristic
1764C2#6292411yescharacteristic
1765C2#6295511yescharacteristic
1766C2#6300811yescharacteristic
1767C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35514C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42725C2semidirect
2. #42694C2semidirect
3. #42693C2semidirect
4. #42621C2semidirect
5. #42607C2semidirect
6. #42571C2semidirect
7. #42515C2semidirect
8. #42514C2semidirect
9. #40756C2semidirect
10. #40727C2semidirect
11. #40174C2semidirect
12. #40047C2semidirect
13. #40003C2semidirect
14. #40003C2semidirect
15. #39792C2semidirect
16. #39221C2semidirect
17. #39194C2semidirect
18. #39193C2semidirect
19. #38566C2semidirect
20. #38547C2semidirect
21. #35639C2semidirect
22. #35556C2semidirect
23. #35544C2semidirect
24. #35531C2semidirect
25. #35515C2semidirect
27. #35335C2semidirect
28. #35262C2semidirect
29. #35160C2semidirect
30. #34813C2semidirect
31. C2×#2490C2semidirect
32. #34739C2semidirect
33. #34255C2semidirect
34. #34213C2semidirect
35. #34202C2semidirect
45. #2859C22semidirect
46. #2859C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2832C22semidirect
53. #2829C22semidirect
54. #2801C22semidirect
55. #2801C22semidirect
56. #2800C22semidirect
57. #2800C22semidirect
58. #2798C22semidirect
59. #2798C22semidirect
60. #2779C22semidirect
61. #2779C22semidirect
62. #2773C22semidirect
63. #2773C22semidirect
64. #2757C22semidirect
65. #2757C22semidirect
66. #2747C22semidirect
67. #2746C22semidirect
68. #2745C22semidirect
69. #2742C22semidirect
70. #2741C22semidirect
71. #2738C22semidirect
72. #2737C22semidirect
73. #2717C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2705C22semidirect
77. #2705C22semidirect
78. #2702C22semidirect
79. #2701C22semidirect
80. #2700C22semidirect
81. #2692C22semidirect
82. #2691C22semidirect
83. #2687C22semidirect
84. #2686C22semidirect
85. #2672C22semidirect
86. #2663C22semidirect
87. #2662C22semidirect
88. #2660C22semidirect
89. #2660C22semidirect
90. #2654C22semidirect
91. #2653C22semidirect
92. #2651C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2649C22semidirect
97. #2632C22semidirect
98. #2630C22semidirect
99. #2625C22semidirect
102. #2624C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
111. #2580C22semidirect
112. #2580C22semidirect
114. #2548C22semidirect
115. #2548C22semidirect
116. #2538C22semidirect
117. #2538C22semidirect
122. #2525C22semidirect
123. #2521C22semidirect
124. #2514C22semidirect
125. #2513C22semidirect
126. #2512C22semidirect
127. #2511C22semidirect
129. #2504C22semidirect
131. #2501C22semidirect
134. #2500C22semidirect
135. #2500C22semidirect
136. #2497C22semidirect
137. #2497C22semidirect
138. #2497C22semidirect
139. #2496C22semidirect
140. #2496C22semidirect
141. #2496C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
144. #2495C22semidirect
145. #2495C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2491C22semidirect
154. #2491C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
176. #2479C22semidirect
177. #2479C22semidirect
182. #2470C22semidirect
183. #2470C22semidirect
184. #2461C22semidirect
185. #2458C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2453C22semidirect
191. #2453C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
201. #2442C22semidirect
202. #2441C22semidirect
203. #2441C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2439C22semidirect
209. #2439C22semidirect
220. #2427C22semidirect
221. #2426C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
236. #2365C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2355C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2352C22semidirect
248. #2352C22semidirect
249. Q8×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
253. #2335C22semidirect
254. #2335C22semidirect
256. #2324C22semidirect
257. #2324C22semidirect
258. #2323C22semidirect
259. #2323C22semidirect
260. #2319C22semidirect
261. #2319C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#427252
#426942
#426932
#426212
#426072
#425712
#425152
#425142
#407562
#407272
#401742
#400472
#400032
#397922
#392212
#391942
#391932
#385662
#385472
#356392
#355562
#355442
#355312
#355152
#355142
#353352
#352622
#351602
#348132
C2×#24902
#347392
#342552
#342132
#342022