Finite Group Databasebeta

← #7689614

Subgroups — #7689614

Order 512.

4800 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59975C214yesmaximal, complemented
2#59496C212yesmaximal, complemented
3#59436C211yesmaximal, characteristic, complemented
4#59432C212yesmaximal, complemented
5#59247C212yesmaximal, complemented
6#59234C211yesmaximal, characteristic, complemented
7#59232C212yesmaximal, complemented
8#59229C211yesmaximal, characteristic, complemented
9#45385C212yesmaximal, complemented
10#45087C212yesmaximal, complemented
11#44566C214yesmaximal, complemented
12#43250C214yesmaximal, complemented
13#40002C212yesmaximal, complemented
14#39904C212yesmaximal, complemented
15#39608C211yesmaximal, characteristic, complemented
16#39193C211yesmaximal, characteristic, complemented
17#38351C214yesmaximal, complemented
18#38207C212yesmaximal, complemented
19#36565C211yesmaximal, characteristic, complemented
20#36544C211yesmaximal, characteristic, complemented
21#36492C211yesmaximal, characteristic, complemented
22#36480C211yesmaximal, characteristic, complemented
23#36425C212yesmaximal, complemented
24#36250C212yesmaximal, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36175C212yesmaximal, complemented
27#35804C212yesmaximal, complemented
28#35774C212yesmaximal, complemented
29#34797C211yesmaximal, characteristic, complemented
30#34788C212yesmaximal, complemented
31#34321C212yesmaximal, complemented
32#34317C211yesmaximal, characteristic, complemented
33#34187C211yesmaximal, characteristic, complemented
34C4×#548C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2863C2212yes—
42#2862C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2214yes—
47#2851C2212yes—
48#2851C2212yes—
49#2779C2214yes—
50#2775C2214yes—
51#2763C2214yes—
52#2759C2214yes—
53#2758C2214yes—
54#2758C2214yes—
55#2757C2214yes—
56#2757C2214yes—
57#2754C2214yes—
58#2745C2214yes—
59#2740C2214yes—
60#2740C2214yes—
61#2738C2214yes—
62#2737C2214yes—
63#2730C2214yes—
64#2712C2214yes—
65#2700C2214yes—
66#2699C2214yes—
67#2692C2214yes—
68#2686C2214yes—
69#2686C2214yes—
70#2653C2214yes—
71#2649C2214yes—
72#2628C2212yes—
73#2625C2212yes—
74#2610C2214yes—
75#2605C2214yes—
76#2604C2214yes—
77#2599C2214yes—
78#2596C2214yes—
79#2590C2214yes—
80#2588C2214yes—
81#2586C2214yes—
82#2586C2214yes—
83#2586C2214yes—
84#2585C2214yes—
85#2584C2212yes—
86#2580C2212yes—
87#2573C2214yes—
88#2573C2214yes—
89#2572C2214yes—
90#2570C2212yes—
91#2567C2211yescharacteristic
92#2563C2211yescharacteristic
93#2563C2212yes—
94#2562C2212yes—
95#2562C2212yes—
96#2551C2211yescharacteristic
97#2551C2211yescharacteristic
98#2550C2212yes—
99#2550C2212yes—
100#2547C2212yes—
101#2547C2212yes—
102#2538C2211yescharacteristic
103#2537C2211yescharacteristic
104#2535C2212yes—
105#2532C2214yes—
106#2532C2214yes—
107#2531C2212yes—
108#2530C2214yes—
109#2529C2212yes—
110#2529C2214yes—
111#2527C2214yes—
112#2527C2214yes—
113#2525C2214yes—
114#2525C2214yes—
115#2524C2214yes—
116#2523C2214yes—
117#2523C2214yes—
118#2523C2214yes—
119#2518C2212yes—
120#2518C2214yes—
121#2516C2214yes—
122#2514C2212yes—
123#2514C2214yes—
124#2514C2212yes—
125#2513C2212yes—
126#2512C2211yescharacteristic
127#2510C2214yes—
128#2509C2212yes—
129#2509C2212yes—
130#2508C2212yes—
131#2507C2211yescharacteristic
132#2504C2212yes—
133#2500C2211yescharacteristic
134#2497C2212yes—
135#2497C2212yes—
136#2495C2212yes—
137#2495C2212yes—
138#2495C2212yes—
139#2495C2212yes—
140#2495C2212yes—
141#2495C2211yescharacteristic
142#2494C2212yes—
143#2494C2212yes—
144#2494C2212yes—
145#2492C2212yes—
146#2492C2212yes—
147#2491C2212yes—
148#2491C2212yes—
149#2490C2212yes—
150#2490C2211yescharacteristic
151#2487C2212yes—
152#2485C2212yes—
153#2485C2212yes—
154#2485C2211yescharacteristic
155#2477C2214yes—
156#2477C2214yes—
157#2474C2214yes—
158#2474C2214yes—
159#2474C2214yes—
160#2474C2214yes—
161#2467C2212yes—
162#2466C2214yes—
163#2465C2214yes—
164#2465C2214yes—
165#2463C2214yes—
166#2459C2214yes—
167#2452C2212yes—
168#2451C2212yes—
169#2451C2212yes—
170#2449C2214yes—
171#2447C2212yes—
172#2447C2214yes—
173#2444C2214yes—
174#2442C2212yes—
175#2442C2212yes—
176#2441C2211yescharacteristic
177#2440C2212yes—
178#2439C2212yes—
179#2439C2212yes—
180#2438C2214yes—
181#2438C2214yes—
182#2427C2212yes—
183#2423C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2416C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2414C2211yescharacteristic
191#2409C2212yes—
192#2407C2212yes—
193#2401C2214yes—
194#2395C2212yes—
195#2395C2214yes—
196#2392C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2369C2211yescharacteristic
200#2369C2212yes—
201#2369C2212yes—
202#2369C2212yes—
203#2367C2214yes—
204#2367C2214yes—
205#2367C2212yes—
206#2367C2211yescharacteristic
207#2365C2212yes—
208#2363C2214yes—
209#2362C2214yes—
210#2362C2212yes—
211#2362C2212yes—
212#2362C2212yes—
213#2362C2211yescharacteristic
214#2361C2211yescharacteristic
215#2361C2212yes—
216#2361C2212yes—
217#2360C2212yes—
218#2357C2212yes—
219#2356C2214yes—
220#2356C2212yes—
221#2356C2214yes—
222#2356C2212yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2212yes—
237#2351C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2214yes—
242#2347C2212yes—
243#2347C2212yes—
244#2347C2212yes—
245#2347C2212yes—
246#2344C2212yes—
247#2344C2212yes—
248#2344C2212yes—
249#2343C2214yes—
250#2341C2211yescharacteristic
251Q8×C22⋊C4C2211yescharacteristic
252#2339C2212yes—
253#2337C2214yes—
254#2337C2214yes—
255#2332C2214yes—
256#2324C2212yes—
257#2324C2212yes—
258#2323C2212yes—
259#2313C2214yes—
260#2310C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2211yescharacteristic
266C4×#126C2212yes—
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×#121C2214yes—
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278#2296C2214yes—
279#2295C2212yes—
280#2293C2211yescharacteristic
281#2293C2212yes—
282#2293C2212yes—
283#2290C2214yes—
284#2290C2214yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290#2283C2212yes—
291#2274C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#555—216no—
302#554—28no—
303#548—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C4×#41—28no—
334C2×C4×Q8—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C42C2312yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2314yes—
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#390C2312yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C4⋊Q8—28no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855#126—44no—
856#125—24no—
857#125—28no—
858#125—44no—
859#124—24no—
860#124—216no—
861#124—28no—
862#124—216no—
863#124—84no—
864C22⋊Q8—28no—
865C22⋊Q8—24no—
866C22⋊Q8—216no—
867C22⋊Q8—28no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—84no—
871C22⋊Q8—82no—
872#121—28no—
873#121—28no—
874#121—216no—
875#121—24no—
876#121—44no—
877#121—42no—
878#121#4118yes—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—48no—
887C4×Q8—42no—
888C4×Q8—82no—
889C4×Q8#4118yes—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—48no—
907C4×D4—84no—
908#117—28no—
909#117—24no—
910#117—28no—
911#117—28no—
912#117—24no—
913#117—216no—
914#117—44no—
915#117—44no—
916#117—42no—
917#117—82no—
918#117—84no—
919#117—84no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—28no—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—84no—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166C24C2512yes—
1167C24C2511yescharacteristic
1168#41—416no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—28no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—416no—
1187C2×Q8C2×#4114yes—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4C2×#4114yes—
1211C2×D4C2×#4118yes—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—41no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—41no—
1256C22×C4C2×#4114yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—41no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4C2×#4114yes—
1351C4⋊C4C2×#4118yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C42−1+414yes—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4C2×#4118yes—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—28no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—44no—
1439C42—41no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42—41no—
1444C42C2×#4118yes—
1445C42C2×#4114yes—
1446C23—22no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23C22×#4112yes—
1473C23C22×#4114yes—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—48no—
1477Q8—44no—
1478Q8—84no—
1479Q8—88no—
1480Q8—164no—
1481D4—28no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—44no—
1486D4—44no—
1487D4—88no—
1488D4—84no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—28no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—416no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—84no—
1581C2×C4—88no—
1582C2×C4—82no—
1583C2×C4—88no—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4114yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C2×2−1+414yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C22—24no—
1598C22—22no—
1599C22—22no—
1600C22—24no—
1601C22—22no—
1602C22—24no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22C23×#4111yescharacteristic
1626C22C23×#4111yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22H(7,𝔽2)11yescharacteristic
1632C4—24no—
1633C4—22no—
1634C4—24no—
1635C4—22no—
1636C4—24no—
1637C4—22no—
1638C4—24no—
1639C4—41no—
1640C4—44no—
1641C4—42no—
1642C4—41no—
1643C4—44no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—44no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4#347514yes—
1662C4#351814yes—
1663C2—44no—
1664C2—42no—
1665C2—82no—
1666C2—81no—
1667C2C2×#347511yescharacteristic
1668C2#6278111yescharacteristic
1669C2C2×#351811yescharacteristic
1670C2#6293811yescharacteristic
1671C2#6300011yescharacteristic
1672C2#6300811yescharacteristic
1673C2#6303411yescharacteristic
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. #59975C2semidirect
2. #59496C2semidirect
3. #59436C2semidirect
4. #59432C2semidirect
5. #59247C2semidirect
6. #59234C2semidirect
7. #59232C2semidirect
8. #59229C2semidirect
9. #45385C2semidirect
10. #45087C2semidirect
11. #44566C2semidirect
12. #43250C2semidirect
13. #40002C2semidirect
14. #39904C2semidirect
15. #39608C2semidirect
16. #39193C2semidirect
17. #38351C2semidirect
18. #38207C2semidirect
19. #36565C2semidirect
20. #36544C2semidirect
21. #36492C2semidirect
22. #36480C2semidirect
23. #36425C2semidirect
24. #36250C2semidirect
25. #36210C2semidirect
26. #36175C2semidirect
27. #35804C2semidirect
28. #35774C2semidirect
29. #34797C2semidirect
30. #34788C2semidirect
31. #34321C2semidirect
32. #34317C2semidirect
33. #34187C2semidirect
34. C4×#548C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#599752
#594962
#594362
#594322
#592472
#592342
#592322
#592292
#453852
#450872
#445662
#432502
#400022
#399042
#396082
#391932
#383512
#382072
#365652
#365442
#364922
#364802
#364252
#362502
#362102
#361752
#358042
#357742
#347972
#347882
#343212
#343172
#341872
C4×#5482
#341272