Finite Group Databasebeta

← #7693108

Subgroups — #7693108

Order 512.

5393 conjugacy classes of subgroups.

The subgroup lattice has 1733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59544C212yesmaximal, complemented
3#59444C211yesmaximal, characteristic, complemented
4#59436C211yesmaximal, characteristic, complemented
5#59390C212yesmaximal, complemented
6#59352C214yesmaximal, complemented
7#59331C212yesmaximal, complemented
8#59120C212yesmaximal, complemented
9#45365C212yesmaximal, complemented
10#44959C212yesmaximal, complemented
11#43273C214yesmaximal, complemented
12#43232C214yesmaximal, complemented
13#39916C214yesmaximal, complemented
14#39730C212yesmaximal, complemented
15#39024C212yesmaximal, complemented
16#39020C212yesmaximal, complemented
17#38957C211yesmaximal, characteristic, complemented
18#38953C211yesmaximal, characteristic
19#36609C211yesmaximal, characteristic, complemented
20#36476C211yesmaximal, characteristic, complemented
21#36441C212yesmaximal, complemented
22#36402C212yesmaximal, complemented
23#36300C211yesmaximal, characteristic, complemented
24#36185C211yesmaximal, characteristic, complemented
25#36162C212yesmaximal, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35838C212yesmaximal, complemented
28#35785C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34700C212yesmaximal, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34321C211yesmaximal, characteristic, complemented
33#34186C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#555C2211yescharacteristic
39C2×#552C2212yescomplemented
40C2×D42C2211yescharacteristic
41C2×#529C2212yescomplemented
42C22×C4×D4C2212yes—
43C22×C4×D4C2212yes—
44#2862C2211yescharacteristic, complemented
45#2860C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2855C2212yescomplemented
49#2850C2212yescomplemented
50#2850C2212yescomplemented
51#2849C2214yescomplemented
52#2803C2214yescomplemented
53#2795C2214yescomplemented
54#2778C2214yescomplemented
55#2757C2214yescomplemented
56#2756C2214yescomplemented
57#2753C2214yescomplemented
58#2745C2214yescomplemented
59#2741C2214yescomplemented
60#2737C2214yescomplemented
61#2736C2214yescomplemented
62#2735C2214yescomplemented
63#2718C2214yescomplemented
64#2706C2214yescomplemented
65#2702C2214yescomplemented
66#2694C2214yescomplemented
67#2685C2214yes—
68#2685C2214yes—
69#2685C2214yescomplemented
70#2684C2214yescomplemented
71#2670C2214yes—
72#2670C2214yes—
73#2653C2214yescomplemented
74#2648C2214yescomplemented
75#2620C2212yes—
76#2619C2212yes—
77#2610C2214yescomplemented
78#2607C2214yescomplemented
79#2603C2214yescomplemented
80#2602C2214yescomplemented
81#2600C2214yescomplemented
82#2599C2214yescomplemented
83#2597C2214yescomplemented
84#2595C2214yescomplemented
85#2594C2214yescomplemented
86#2593C2214yescomplemented
87#2592C2212yescomplemented
88#2592C2212yescomplemented
89#2592C2212yescomplemented
90#2589C2214yescomplemented
91#2580C2212yes—
92#2580C2212yescomplemented
93#2576C2214yescomplemented
94#2574C2212yescomplemented
95#2574C2212yescomplemented
96#2574C2214yescomplemented
97#2570C2212yescomplemented
98#2570C2212yescomplemented
99#2567C2211yescharacteristic, complemented
100#2567C2211yescharacteristic, complemented
101#2563C2211yescharacteristic
102#2563C2211yescharacteristic
103#2552C2212yescomplemented
104#2552C2211yescharacteristic, complemented
105#2548C2211yescharacteristic
106#2548C2212yescomplemented
107#2544C2212yescomplemented
108#2542C2211yescharacteristic
109#2542C2211yescharacteristic, complemented
110#2541C2211yescharacteristic
111#2538C2211yescharacteristic
112#2536C2212yescomplemented
113#2532C2214yescomplemented
114#2525C2214yescomplemented
115#2521C2214yescomplemented
116#2521C2214yescomplemented
117#2521C2214yescomplemented
118#2519C2214yescomplemented
119#2518C2214yescomplemented
120#2518C2214yescomplemented
121#2515C2214yescomplemented
122#2514C2212yescomplemented
123#2513C2212yescomplemented
124#2513C2212yescomplemented
125#2513C2212yescomplemented
126#2512C2212yescomplemented
127#2512C2212yescomplemented
128#2512C2212yescomplemented
129#2508C2211yescharacteristic, complemented
130#2508C2211yescharacteristic, complemented
131#2500C2212yes—
132#2500C2212yes—
133#2500C2212yescomplemented
134#2500C2212yescomplemented
135#2499C2212yescomplemented
136#2497C2212yescomplemented
137#2495C2212yescomplemented
138#2494C2212yescomplemented
139#2492C2212yescomplemented
140#2491C2212yescomplemented
141#2482C2214yescomplemented
142#2480C2214yescomplemented
143#2479C2214yescomplemented
144#2479C2214yescomplemented
145#2475C2214yescomplemented
146#2474C2214yescomplemented
147#2474C2214yescomplemented
148#2472C2214yescomplemented
149#2471C2214yescomplemented
150#2468C2214yescomplemented
151#2468C2214yescomplemented
152#2467C2214yescomplemented
153#2467C2214yescomplemented
154#2467C2214yescomplemented
155#2460C2214yescomplemented
156#2460C2214yescomplemented
157#2459C2214yescomplemented
158#2459C2214yescomplemented
159#2459C2214yescomplemented
160#2457C2214yescomplemented
161#2455C2214yescomplemented
162#2454C2211yescharacteristic
163#2454C2211yescharacteristic
164#2454C2212yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2448C2212yescomplemented
168#2447C2212yes—
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2445C2212yes—
172#2445C2212yescomplemented
173#2442C2212yescomplemented
174#2435C2212yes—
175#2435C2212yes—
176#2435C2212yes—
177#2433C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yescomplemented
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yescomplemented
184#2423C2212yescomplemented
185#2423C2212yescomplemented
186#2420C2212yescomplemented
187#2418C2214yescomplemented
188#2418C2214yescomplemented
189#2417C2212yescomplemented
190#2415C2212yescomplemented
191#2414C2212yes—
192#2414C2212yes—
193#2411C2214yescomplemented
194#2408C2212yes—
195#2408C2212yes—
196#2396C2212yescomplemented
197#2396C2212yescomplemented
198#2395C2214yescomplemented
199#2392C2214yescomplemented
200#2374C2212yescomplemented
201#2374C2212yescomplemented
202#2373C2214yescomplemented
203#2373C2214yescomplemented
204#2369C2211yescharacteristic, complemented
205#2367C2212yes—
206#2367C2211yescharacteristic
207#2367C2212yescomplemented
208#2367C2212yescomplemented
209#2367C2214yescomplemented
210#2367C2211yescharacteristic, complemented
211#2367C2212yescomplemented
212#2367C2212yescomplemented
213#2366C2211yescharacteristic
214#2366C2211yescharacteristic
215#2366C2212yescomplemented
216#2365C2211yescharacteristic, complemented
217#2363C2212yes—
218#2363C2212yescomplemented
219#2362C2212yescomplemented
220#2362C2212yescomplemented
221#2361C2212yes—
222#2361C2212yes—
223#2361C2212yescomplemented
224#2360C2212yescomplemented
225#2358C2214yes—
226#2357C2212yes—
227#2357C2211yescharacteristic
228#2357C2212yescomplemented
229#2357C2214yescomplemented
230#2357C2211yescharacteristic, complemented
231#2357C2212yescomplemented
232#2357C2212yescomplemented
233#2357C2214yescomplemented
234#2355C2211yescharacteristic, complemented
235#2355C2211yescharacteristic, complemented
236#2355C2211yescharacteristic, complemented
237#2355C2212yescomplemented
238#2354C2212yes—
239#2354C2212yes—
240#2354C2214yescomplemented
241#2354C2211yescharacteristic, complemented
242#2354C2212yescomplemented
243#2354C2212yescomplemented
244#2354C2214yescomplemented
245#2351C2212yescomplemented
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248#2347C2212yescomplemented
249#2347C2212yescomplemented
250#2346C2212yescomplemented
251#2344C2212yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2337C2214yescomplemented
255#2334C2214yescomplemented
256#2324C2212yescomplemented
257#2323C2212yescomplemented
258#2312C2214yescomplemented
259#2312C2214yescomplemented
260#2309C2212yes—
261#2309C2212yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#125C2211yescharacteristic, complemented
268C4×#125C2211yescharacteristic, complemented
269C4×#124C2212yes—
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic, complemented
272C4×#124C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#120C2214yes—
281C4×#120C2214yescomplemented
282#2296C2212yescomplemented
283#2295C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287#2285C2212yescomplemented
288#2285C2212yescomplemented
289#2280C2214yescomplemented
290#2280C2214yescomplemented
291#2274C2212yescomplemented
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2212yescomplemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301C24×C4C2314yes—
302#559—28no—
303#556—28no—
304#555—28no—
305#552—48no—
306D42—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—48no—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#124C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4—216no—
363C2×C4×D4—48no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C42C2312yes—
405C22×C42C2312yes—
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2312yes—
443#396C2312yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2312yes—
451#395C2312yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2312yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2312yes—
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#383C2314yes—
693#383C2314yes—
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2314yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#379C2314yes—
729#379C2314yes—
730#379C2314yes—
731#379C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4—28no—
825C22×D4—28no—
826C22×D4—28no—
827C22×D4—44no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4—216no—
844C23×C4—48no—
845C23×C4—84no—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—42no—
862#127—24no—
863#127—24no—
864#127—44no—
865#126—216no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—24no—
870#125—24no—
871#125—48no—
872#124—28no—
873#124—24no—
874#124—216no—
875#124—28no—
876#124—24no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—84no—
882#124—82no—
883#123—28no—
884#123—28no—
885#123—48no—
886#123—48no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—44no—
898#121—44no—
899#120—216no—
900#120—48no—
901#120—84no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—82no—
913C4×D4—28no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—216no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—42no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—48no—
935C4×D4—84no—
936C4×D4—82no—
937C4×D4#4118yes—
938C4×D4#4118yes—
939#117—28no—
940#117—28no—
941#117—28no—
942#117—44no—
943#117—44no—
944#117—48no—
945#117—44no—
946#117—48no—
947#117—84no—
948#117—84no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4—216no—
1015C2×C22⋊C4—48no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—28no—
1081C2×C42—44no—
1082C2×C42—44no—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—28no—
1188C24—28no—
1189C24—44no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24—44no—
1194C24C2514yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2512yes—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—41no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—432no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—432no—
1252C2×D4C2×#4114yes—
1253C2×D4C2×#4114yes—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—28no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—832no—
1292C22×C4C2×#4118yes—
1293C22×C4C2×#4118yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4C2×#4114yes—
1386C4⋊C4C2×#4114yes—
1387C4⋊C4H(5,𝔽2)14yes—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4C2×#4118yes—
1451C22⋊C4C2×#4118yes—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—28no—
1456C42—28no—
1457C42—24no—
1458C42—22no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—42no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—41no—
1487C42—41no—
1488C42—41no—
1489C42—42no—
1490C42—41no—
1491C42—41no—
1492C42C2×#4114yes—
1493C42C2×#4114yes—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—24no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—22no—
1520C23—416no—
1521C23—416no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—88no—
1527C23C22×#4114yes—
1528C23C22×#4114yes—
1529C23C2611yescharacteristic
1530Q8—44no—
1531Q8—44no—
1532Q8—48no—
1533Q8—84no—
1534Q8—84no—
1535D4—28no—
1536D4—28no—
1537D4—48no—
1538D4—416no—
1539D4—416no—
1540D4—44no—
1541D4—48no—
1542D4—48no—
1543D4—84no—
1544D4—84no—
1545D4—88no—
1546D4—88no—
1547D4—164no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—216no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—48no—
1630C2×C4—416no—
1631C2×C4—48no—
1632C2×C4—416no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4C22×#4114yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4114yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C2×H(5,𝔽2)14yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4#58512yes—
1652C2×C4#58512yes—
1653C2×C4#58512yes—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—44no—
1676C22—42no—
1677C22—44no—
1678C22—42no—
1679C22—44no—
1680C22—44no—
1681C22—42no—
1682C22—832no—
1683C22C23×#4111yescharacteristic
1684C22C23×#4111yescharacteristic
1685C22C22×H(5,𝔽2)11yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22H(7,𝔽2)11yescharacteristic
1690C4—24no—
1691C4—22no—
1692C4—24no—
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—24no—
1697C4—44no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—44no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—41no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4#347514yes—
1720C4#350614yes—
1721C2—44no—
1722C2—44no—
1723C2—82no—
1724C2—84no—
1725C2C2×#347511yescharacteristic
1726C2C2×#350611yescharacteristic
1727C2#6281611yescharacteristic
1728C2#6293811yescharacteristic
1729C2#6298311yescharacteristic
1730C2#6301011yescharacteristic
1731C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38953C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59640C2semidirect
2. #59544C2semidirect
3. #59444C2semidirect
4. #59436C2semidirect
5. #59390C2semidirect
6. #59352C2semidirect
7. #59331C2semidirect
8. #59120C2semidirect
9. #45365C2semidirect
10. #44959C2semidirect
11. #43273C2semidirect
12. #43232C2semidirect
13. #39916C2semidirect
14. #39730C2semidirect
15. #39024C2semidirect
16. #39020C2semidirect
17. #38957C2semidirect
19. #36609C2semidirect
20. #36476C2semidirect
21. #36441C2semidirect
22. #36402C2semidirect
23. #36300C2semidirect
24. #36185C2semidirect
25. #36162C2semidirect
26. #36115C2semidirect
27. #35838C2semidirect
28. #35785C2semidirect
29. #34941C2semidirect
30. #34700C2semidirect
31. #34322C2semidirect
32. #34321C2semidirect
33. #34186C2semidirect
34. C4×#559C2semidirect
35. C4×D42C2semidirect
39. C2×#552C22semidirect
41. C2×#529C22semidirect
44. #2862C22semidirect
45. #2860C22semidirect
48. #2855C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2849C22semidirect
52. #2803C22semidirect
53. #2795C22semidirect
54. #2778C22semidirect
55. #2757C22semidirect
56. #2756C22semidirect
57. #2753C22semidirect
58. #2745C22semidirect
59. #2741C22semidirect
60. #2737C22semidirect
61. #2736C22semidirect
62. #2735C22semidirect
63. #2718C22semidirect
64. #2706C22semidirect
65. #2702C22semidirect
66. #2694C22semidirect
69. #2685C22semidirect
70. #2684C22semidirect
73. #2653C22semidirect
74. #2648C22semidirect
77. #2610C22semidirect
78. #2607C22semidirect
79. #2603C22semidirect
80. #2602C22semidirect
81. #2600C22semidirect
82. #2599C22semidirect
83. #2597C22semidirect
84. #2595C22semidirect
85. #2594C22semidirect
86. #2593C22semidirect
87. #2592C22semidirect
88. #2592C22semidirect
89. #2592C22semidirect
90. #2589C22semidirect
92. #2580C22semidirect
93. #2576C22semidirect
94. #2574C22semidirect
95. #2574C22semidirect
96. #2574C22semidirect
97. #2570C22semidirect
98. #2570C22semidirect
99. #2567C22semidirect
100. #2567C22semidirect
103. #2552C22semidirect
104. #2552C22semidirect
106. #2548C22semidirect
107. #2544C22semidirect
109. #2542C22semidirect
112. #2536C22semidirect
113. #2532C22semidirect
114. #2525C22semidirect
115. #2521C22semidirect
116. #2521C22semidirect
117. #2521C22semidirect
118. #2519C22semidirect
119. #2518C22semidirect
120. #2518C22semidirect
121. #2515C22semidirect
122. #2514C22semidirect
123. #2513C22semidirect
124. #2513C22semidirect
125. #2513C22semidirect
126. #2512C22semidirect
127. #2512C22semidirect
128. #2512C22semidirect
129. #2508C22semidirect
130. #2508C22semidirect
133. #2500C22semidirect
134. #2500C22semidirect
135. #2499C22semidirect
136. #2497C22semidirect
137. #2495C22semidirect
138. #2494C22semidirect
139. #2492C22semidirect
140. #2491C22semidirect
141. #2482C22semidirect
142. #2480C22semidirect
143. #2479C22semidirect
144. #2479C22semidirect
145. #2475C22semidirect
146. #2474C22semidirect
147. #2474C22semidirect
148. #2472C22semidirect
149. #2471C22semidirect
150. #2468C22semidirect
151. #2468C22semidirect
152. #2467C22semidirect
153. #2467C22semidirect
154. #2467C22semidirect
155. #2460C22semidirect
156. #2460C22semidirect
157. #2459C22semidirect
158. #2459C22semidirect
159. #2459C22semidirect
160. #2457C22semidirect
161. #2455C22semidirect
164. #2454C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2448C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
172. #2445C22semidirect
173. #2442C22semidirect
180. #2427C22semidirect
183. #2426C22semidirect
184. #2423C22semidirect
185. #2423C22semidirect
186. #2420C22semidirect
187. #2418C22semidirect
188. #2418C22semidirect
189. #2417C22semidirect
190. #2415C22semidirect
193. #2411C22semidirect
196. #2396C22semidirect
197. #2396C22semidirect
198. #2395C22semidirect
199. #2392C22semidirect
200. #2374C22semidirect
201. #2374C22semidirect
202. #2373C22semidirect
203. #2373C22semidirect
204. #2369C22semidirect
207. #2367C22semidirect
208. #2367C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2367C22semidirect
215. #2366C22semidirect
216. #2365C22semidirect
218. #2363C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
223. #2361C22semidirect
224. #2360C22semidirect
228. #2357C22semidirect
229. #2357C22semidirect
230. #2357C22semidirect
231. #2357C22semidirect
232. #2357C22semidirect
233. #2357C22semidirect
234. #2355C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
237. #2355C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2351C22semidirect
248. #2347C22semidirect
249. #2347C22semidirect
250. #2346C22semidirect
251. #2344C22semidirect
254. #2337C22semidirect
255. #2334C22semidirect
256. #2324C22semidirect
257. #2323C22semidirect
258. #2312C22semidirect
259. #2312C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
267. C4×#125C22semidirect
268. C4×#125C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
281. C4×#120C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
286. #2293C22semidirect
287. #2285C22semidirect
288. #2285C22semidirect
289. #2280C22semidirect
290. #2280C22semidirect
291. #2274C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596402
#595442
#594442
#594362
#593902
#593522
#593312
#591202
#453652
#449592
#432732
#432322
#399162
#397302
#390242
#390202
#389572
#389532
#366092
#364762
#364412
#364022
#363002
#361852
#361622
#361152
#358382
#357852
#349412
#347002
#343222
#343212
#341862
C4×#5592
C4×D422