Finite Group Databasebeta

← #7689433

Subgroups — #7689433

Order 512.

5058 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59751C212yesmaximal, complemented
2#59747C214yesmaximal, complemented
3#59575C212yesmaximal, complemented
4#59464C211yesmaximal, characteristic, complemented
5#59119C212yesmaximal, complemented
6#59055C211yesmaximal, characteristic, complemented
7#59050C212yesmaximal, complemented
8#59049C211yesmaximal, characteristic, complemented
9#45285C212yesmaximal, complemented
10#45259C212yesmaximal, complemented
11#44047C214yesmaximal, complemented
12#43950C214yesmaximal, complemented
13#39539C212yesmaximal, complemented
14#39481C211yesmaximal, characteristic, complemented
15#39023C212yesmaximal, complemented
16#38987C211yesmaximal, characteristic, complemented
17#38697C214yesmaximal, complemented
18#38249C212yesmaximal, complemented
19#36591C212yesmaximal, complemented
20#36460C211yesmaximal, characteristic, complemented
21#36413C212yesmaximal, complemented
22#36402C212yesmaximal, complemented
23#36273C211yesmaximal, characteristic, complemented
24#36150C211yesmaximal, characteristic, complemented
25#36133C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35895C212yesmaximal, complemented
28#35793C212yesmaximal, complemented
29#34919C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34263C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2212yes—
38C2×#553C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2212yes—
41C2×#532C2211yescharacteristic
42C2×#529C2212yes—
43C2×#520C2212yes—
44#2861C2214yes—
45#2860C2212yes—
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2212yes—
51#2850C2212yes—
52#2803C2214yes—
53#2797C2214yes—
54#2793C2214yes—
55#2786C2214yes—
56#2779C2214yes—
57#2774C2214yes—
58#2773C2214yes—
59#2773C2214yes—
60#2753C2214yes—
61#2753C2214yes—
62#2748C2214yes—
63#2747C2214yes—
64#2741C2214yes—
65#2741C2214yes—
66#2740C2214yes—
67#2730C2214yes—
68#2730C2214yes—
69#2721C2214yes—
70#2717C2214yes—
71#2714C2214yes—
72#2701C2214yes—
73#2651C2214yes—
74#2644C2212yes—
75#2635C2214yes—
76#2624C2212yes—
77#2610C2214yes—
78#2603C2214yes—
79#2600C2214yes—
80#2597C2214yes—
81#2595C2214yes—
82#2595C2214yes—
83#2594C2214yes—
84#2593C2214yes—
85#2588C2214yes—
86#2577C2214yes—
87#2576C2214yes—
88#2574C2214yes—
89#2571C2211yescharacteristic
90#2568C2212yes—
91#2560C2214yes—
92#2559C2214yes—
93#2558C2214yes—
94#2555C2214yes—
95#2551C2211yescharacteristic
96#2550C2212yes—
97#2548C2211yescharacteristic
98#2548C2212yes—
99#2547C2212yes—
100#2546C2211yescharacteristic
101#2545C2212yes—
102#2542C2211yescharacteristic
103#2542C2212yes—
104#2541C2211yescharacteristic
105#2540C2212yes—
106#2540C2212yes—
107#2536C2212yes—
108#2532C2214yes—
109#2531C2214yes—
110#2531C2214yes—
111#2530C2214yes—
112#2530C2212yes—
113#2528C2212yes—
114#2526C2214yes—
115#2521C2214yes—
116#2521C2214yes—
117#2519C2214yes—
118#2519C2214yes—
119#2517C2212yes—
120#2516C2214yes—
121#2516C2214yes—
122#2513C2212yes—
123#2513C2212yes—
124#2512C2212yes—
125#2512C2212yes—
126#2511C2211yescharacteristic
127#2509C2212yes—
128#2508C2212yes—
129#2507C2212yes—
130#2506C2212yes—
131#2506C2211yescharacteristic
132#2500C2212yes—
133#2499C2212yes—
134#2499C2211yescharacteristic
135#2494C2211yescharacteristic
136#2491C2212yes—
137#2491C2212yes—
138#2490C2212yes—
139#2490C2214yes—
140#2489C2211yescharacteristic
141#2485C2211yescharacteristic
142#2481C2214yes—
143#2479C2214yes—
144#2479C2214yes—
145#2478C2214yes—
146#2474C2214yes—
147#2471C2214yes—
148#2471C2214yes—
149#2467C2214yes—
150#2467C2214yes—
151#2462C2214yes—
152#2461C2214yes—
153#2460C2212yes—
154#2454C2212yes—
155#2454C2212yes—
156#2453C2212yes—
157#2451C2212yes—
158#2451C2212yes—
159#2448C2214yes—
160#2448C2212yes—
161#2448C2214yes—
162#2448C2212yes—
163#2448C2212yes—
164#2448C2212yes—
165#2447C2212yes—
166#2447C2214yes—
167#2446C2212yes—
168#2445C2212yes—
169#2443C2214yes—
170#2441C2214yes—
171#2441C2211yescharacteristic
172#2440C2212yes—
173#2438C2214yes—
174#2431C2212yes—
175#2429C2212yes—
176#2428C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2426C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2423C2212yes—
186#2423C2212yes—
187#2420C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2415C2211yescharacteristic
191#2414C2212yes—
192#2414C2214yes—
193#2414C2212yes—
194#2414C2212yes—
195#2407C2212yes—
196#2401C2212yes—
197#2396C2214yes—
198#2395C2212yes—
199#2392C2214yes—
200#2374C2212yes—
201#2373C2212yes—
202#2373C2214yes—
203#2373C2214yes—
204#2371C2214yes—
205#2370C2211yescharacteristic
206#2369C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2366C2211yescharacteristic
212#2366C2212yes—
213#2366C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2365C2211yescharacteristic
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2364C2212yes—
221#2363C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2363C2211yescharacteristic
226#2362C2212yes—
227#2362C2212yes—
228#2362C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2361C2211yescharacteristic
233#2357C2214yes—
234#2357C2212yes—
235#2357C2211yescharacteristic
236#2355C2212yes—
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2354C2214yes—
241#2353C2212yes—
242#2352C2214yes—
243#2352C2211yescharacteristic
244#2351C2212yes—
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248#2347C2211yescharacteristic
249#2346C2212yes—
250#2345C2214yes—
251#2345C2211yescharacteristic
252#2344C2214yes—
253#2344C2212yes—
254#2341C2212yes—
255#2341C2212yes—
256#2334C2214yes—
257#2326C2212yes—
258#2325C2214yes—
259#2319C2212yes—
260#2319C2214yes—
261#2314C2214yes—
262#2314C2212yes—
263#2311C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2214yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280#2298C2214yes—
281#2298C2214yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2214yes—
288#2293C2212yes—
289#2285C2211yescharacteristic
290#2276C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#556—28no—
301#555—48no—
302#553—28no—
303#533—28no—
304#533—48no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353#520—216no—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2314yes—
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C22×C4⋊C4C2314yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
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#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2314yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#383C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2314yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8#4118yes—
855#127—24no—
856#127—44no—
857#126—28no—
858#126—216no—
859#126—48no—
860#126—48no—
861#125—28no—
862#125—24no—
863#125—24no—
864#125—44no—
865#125—48no—
866#124—28no—
867#124—28no—
868#124—48no—
869#124—44no—
870#124—44no—
871#124—44no—
872#124—48no—
873#124—48no—
874#123—28no—
875#123—48no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—24no—
880C22⋊Q8—48no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885#121—28no—
886#121—24no—
887#121—28no—
888#121—28no—
889#121—24no—
890#121—28no—
891#121—44no—
892#121—48no—
893#121—44no—
894#121—44no—
895#121—44no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—48no—
908C4×D4—216no—
909C4×D4—216no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—42no—
927#117—28no—
928#117—216no—
929#117—28no—
930#117—24no—
931#117—28no—
932#117—24no—
933#117—48no—
934#117—48no—
935#117—48no—
936#117—42no—
937#117—42no—
938#117—44no—
939C2×C4⋊C4—216no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4#4118yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C24C2514yes—
1183C24C2511yescharacteristic
1184#41—432no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—28no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8C2×#4118yes—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—41no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—41no—
1269C22×C4—44no—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4118yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—41no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4114yes—
1366C4⋊C4C2×#4118yes—
1367C4⋊C4C2×#4118yes—
1368C4⋊C4H(5,𝔽2)14yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—28no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—28no—
1437C42—28no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—28no—
1445C42—22no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—42no—
1457C42—41no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—41no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—24no—
1478C23—24no—
1479C23—21no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—21no—
1485C23—24no—
1486C23—22no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—24no—
1491C23—21no—
1492C23—24no—
1493C23—22no—
1494C23C22×#4112yes—
1495C23C2611yescharacteristic
1496Q8—216no—
1497Q8—44no—
1498Q8—48no—
1499Q8—88no—
1500D4—416no—
1501D4—44no—
1502D4—48no—
1503D4—44no—
1504D4—48no—
1505D4—48no—
1506D4—84no—
1507D4—84no—
1508D4—88no—
1509D4—164no—
1510D4—164no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—28no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—416no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—88no—
1600C2×C4—84no—
1601C2×C4—88no—
1602C2×C4—82no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4118yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×H(5,𝔽2)14yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—44no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—44no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—44no—
1637C22—42no—
1638C22—41no—
1639C22—44no—
1640C22—44no—
1641C22—41no—
1642C22—42no—
1643C22—42no—
1644C22—44no—
1645C22—41no—
1646C22C23×#4111yescharacteristic
1647C22C23×#4111yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22C2×#58511yescharacteristic
1651C22C2×#58511yescharacteristic
1652C222−1+611yescharacteristic
1653C4—24no—
1654C4—24no—
1655C4—22no—
1656C4—22no—
1657C4—24no—
1658C4—22no—
1659C4—28no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—41no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4#347514yes—
1683C4#351714yes—
1684C2—42no—
1685C2—84no—
1686C2—82no—
1687C2—81no—
1688C2C2×#347511yescharacteristic
1689C2C2×#351711yescharacteristic
1690C2#6279311yescharacteristic
1691C2#6296811yescharacteristic
1692C2#6298411yescharacteristic
1693C2#6300511yescharacteristic
1694C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59751C2semidirect
2. #59747C2semidirect
3. #59575C2semidirect
4. #59464C2semidirect
5. #59119C2semidirect
6. #59055C2semidirect
7. #59050C2semidirect
8. #59049C2semidirect
9. #45285C2semidirect
10. #45259C2semidirect
11. #44047C2semidirect
12. #43950C2semidirect
13. #39539C2semidirect
14. #39481C2semidirect
15. #39023C2semidirect
16. #38987C2semidirect
17. #38697C2semidirect
18. #38249C2semidirect
19. #36591C2semidirect
20. #36460C2semidirect
21. #36413C2semidirect
22. #36402C2semidirect
23. #36273C2semidirect
24. #36150C2semidirect
25. #36133C2semidirect
26. #36115C2semidirect
27. #35895C2semidirect
28. #35793C2semidirect
29. #34919C2semidirect
30. #34793C2semidirect
31. #34324C2semidirect
32. #34263C2semidirect
33. #34206C2semidirect
34. C4×#553C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#597512
#597472
#595752
#594642
#591192
#590552
#590502
#590492
#452852
#452592
#440472
#439502
#395392
#394812
#390232
#389872
#386972
#382492
#365912
#364602
#364132
#364022
#362732
#361502
#361332
#361152
#358952
#357932
#349192
#347932
#343242
#342632
#342062
C4×#5532
#341542