Finite Group Databasebeta

← #7690738

Subgroups — #7690738

Order 512.

4771 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59653C211yesmaximal, characteristic, complemented
2#59592C212yesmaximal, complemented
3#59555C214yesmaximal, complemented
4#59544C212yesmaximal, complemented
5#59487C212yesmaximal, complemented
6#59418C211yesmaximal, characteristic, complemented
7#59410C211yesmaximal, characteristic
8#59289C212yesmaximal, complemented
9#45304C212yesmaximal, complemented
10#45192C212yesmaximal, complemented
11#44009C214yesmaximal, complemented
12#43947C214yesmaximal, complemented
13#40329C214yesmaximal, complemented
14#39531C212yesmaximal, complemented
15#39505C211yesmaximal, characteristic, complemented
16#39285C212yesmaximal, complemented
17#39026C212yesmaximal, complemented
18#38975C211yesmaximal, characteristic, complemented
19#36563C211yesmaximal, characteristic, complemented
20#36554C212yesmaximal, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36409C212yesmaximal, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36299C211yesmaximal, characteristic, complemented
25#36278C212yesmaximal, complemented
26#36194C211yesmaximal, characteristic, complemented
27#35880C212yesmaximal, complemented
28#35778C212yesmaximal, complemented
29#34902C211yesmaximal, characteristic, complemented
30#34797C212yesmaximal, complemented
31#34328C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34263C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#520C2212yes—
41#2868C2211yescharacteristic
42#2863C2214yes—
43#2863C2212yes—
44#2863C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2855C2212yes—
49#2800C2214yes—
50#2795C2214yes—
51#2795C2214yes—
52#2793C2214yes—
53#2786C2214yes—
54#2777C2214yes—
55#2773C2214yes—
56#2772C2214yes—
57#2766C2214yes—
58#2762C2214yes—
59#2761C2214yes—
60#2756C2214yes—
61#2751C2214yes—
62#2745C2214yes—
63#2737C2214yes—
64#2737C2214yes—
65#2731C2214yes—
66#2725C2214yes—
67#2707C2214yes—
68#2707C2214yes—
69#2705C2214yes—
70#2650C2214yes—
71#2644C2212yes—
72#2630C2214yes—
73#2620C2212yes—
74#2610C2214yes—
75#2608C2214yes—
76#2606C2214yes—
77#2596C2214yes—
78#2596C2212yes—
79#2595C2214yes—
80#2594C2212yes—
81#2592C2211yescharacteristic
82#2590C2214yes—
83#2589C2214yes—
84#2587C2214yes—
85#2585C2214yes—
86#2582C2211yescharacteristic
87#2582C2212yes—
88#2581C2211yescharacteristic
89#2579C2214yes—
90#2576C2214yes—
91#2574C2214yes—
92#2573C2214yes—
93#2572C2214yes—
94#2571C2212yes—
95#2570C2211yescharacteristic
96#2569C2214yes—
97#2567C2212yes—
98#2563C2212yes—
99#2558C2214yes—
100#2557C2214yes—
101#2554C2214yes—
102#2552C2212yes—
103#2550C2212yes—
104#2550C2212yes—
105#2545C2212yes—
106#2545C2211yescharacteristic
107#2540C2212yes—
108#2538C2211yescharacteristic
109#2538C2211yescharacteristic
110#2538C2211yescharacteristic
111#2538C2211yescharacteristic
112#2537C2211yescharacteristic
113#2533C2214yes—
114#2532C2214yes—
115#2531C2214yes—
116#2529C2214yes—
117#2527C2214yes—
118#2527C2214yes—
119#2526C2214yes—
120#2525C2212yes—
121#2522C2214yes—
122#2520C2214yes—
123#2519C2214yes—
124#2518C2214yes—
125#2515C2214yes—
126#2515C2214yes—
127#2514C2211yescharacteristic
128#2512C2211yescharacteristic
129#2509C2212yes—
130#2509C2212yes—
131#2507C2212yes—
132#2507C2212yes—
133#2507C2212yes—
134#2500C2212yes—
135#2498C2214yes—
136#2497C2212yes—
137#2497C2214yes—
138#2495C2212yes—
139#2495C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2493C2214yes—
143#2492C2212yes—
144#2492C2212yes—
145#2492C2212yes—
146#2491C2212yes—
147#2491C2212yes—
148#2490C2212yes—
149#2489C2212yes—
150#2486C2212yes—
151#2485C2212yes—
152#2475C2214yes—
153#2475C2214yes—
154#2474C2214yes—
155#2474C2214yes—
156#2470C2214yes—
157#2469C2212yes—
158#2467C2214yes—
159#2460C2214yes—
160#2459C2214yes—
161#2455C2214yes—
162#2451C2212yes—
163#2451C2212yes—
164#2448C2212yes—
165#2448C2211yescharacteristic
166#2447C2214yes—
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2446C2211yescharacteristic
171#2445C2212yes—
172#2442C2212yes—
173#2441C2212yes—
174#2439C2212yes—
175#2439C2214yes—
176#2432C2212yes—
177#2431C2212yes—
178#2429C2212yes—
179#2429C2212yes—
180#2427C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2423C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2414C2212yes—
192#2413C2214yes—
193#2401C2212yes—
194#2396C2212yes—
195#2395C2214yes—
196#2392C2214yes—
197#2374C2212yes—
198#2374C2212yes—
199#2373C2214yes—
200#2371C2214yes—
201#2370C2212yes—
202#2369C2212yes—
203#2369C2212yes—
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2367C2211yescharacteristic
207#2367C2212yes—
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2362C2212yes—
212#2362C2212yes—
213#2361C2212yes—
214#2361C2212yes—
215#2360C2212yes—
216#2360C2212yes—
217#2360C2212yes—
218#2360C2212yes—
219#2359C2214yes—
220#2357C2211yescharacteristic
221#2357C2212yes—
222#2357C2211yescharacteristic
223#2357C2214yes—
224#2356C2212yes—
225#2356C2212yes—
226#2356C2212yes—
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2214yes—
236#2353C2214yes—
237#2352C2212yes—
238#2351C2212yes—
239Q8×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242#2347C2212yes—
243#2345C2212yes—
244#2345C2214yes—
245#2344C2212yes—
246#2344C2212yes—
247#2344C2212yes—
248#2344C2214yes—
249#2341C2212yes—
250#2341C2212yes—
251#2339C2212yes—
252#2336C2214yes—
253#2327C2212yes—
254#2323C2212yes—
255#2322C2214yes—
256#2319C2212yes—
257#2319C2214yes—
258#2314C2212yes—
259#2314C2214yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#126C2214yes—
268C4×#126C2214yes—
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2298C2214yes—
281#2298C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2214yes—
287#2293C2212yes—
288C2×#389C2212yes—
289#2285C2212yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2212yes—
299C22×#41C2312yes—
300#559—28no—
301#557—28no—
302#556—28no—
303#547—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337#520—216no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C42C2312yes—
383C22×C42C2312yes—
384#401C2314yes—
385#401C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2312yes—
460#392C2314yes—
461#392C2314yes—
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2314yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2314yes—
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2311yescharacteristic
699#381C2314yes—
700#381C2314yes—
701#381C2312yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C43C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C4⋊Q8—28no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—42no—
845C4⋊Q8—82no—
846C4⋊Q8#4118yes—
847#127—24no—
848#126—216no—
849#126—28no—
850#125—216no—
851#125—28no—
852#125—82no—
853#125—82no—
854#124—28no—
855#124—24no—
856#124—28no—
857#124—24no—
858#124—42no—
859#124—42no—
860#124—84no—
861#123—28no—
862#123—216no—
863#123—28no—
864#123—84no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—28no—
872#121—44no—
873#121—44no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×D4—28no—
892C4×D4—216no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—216no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—44no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—84no—
906C4×D4#4118yes—
907#117—28no—
908#117—216no—
909#117—28no—
910#117—44no—
911#117—84no—
912#117—84no—
913#117—84no—
914C2×C4⋊C4—216no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C42—44no—
1037C2×C42—44no—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2512yes—
1162C24C2512yes—
1163#41—432no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—41no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8C2×#4118yes—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—42no—
1202C2×D4C2×#4114yes—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4C2×#4118yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2514yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4C2×#4114yes—
1332C4⋊C4C2×#4118yes—
1333C4⋊C4C2×#4118yes—
1334C4⋊C42−1+414yes—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4C2×#4118yes—
1383C42—28no—
1384C42—28no—
1385C42—24no—
1386C42—28no—
1387C42—24no—
1388C42—22no—
1389C42—24no—
1390C42—28no—
1391C42—24no—
1392C42—22no—
1393C42—24no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—44no—
1414C42—42no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42—42no—
1421C42—44no—
1422C42—42no—
1423C42—42no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42C2×#4114yes—
1428C42C2×#4114yes—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23C22×#4114yes—
1450C23C2611yescharacteristic
1451Q8—216no—
1452Q8—44no—
1453Q8—44no—
1454Q8—44no—
1455Q8—44no—
1456Q8—164no—
1457D4—28no—
1458D4—48no—
1459D4—416no—
1460D4—44no—
1461D4—44no—
1462D4—84no—
1463D4—88no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—48no—
1547C2×C4—416no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—88no—
1552C2×C4—84no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—88no—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4114yes—
1558C2×C4C22×#4118yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4#58512yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22C23×#4111yescharacteristic
1592C22C23×#4111yescharacteristic
1593C22C22×2−1+411yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C4—22no—
1599C4—24no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—28no—
1606C4—41no—
1607C4—42no—
1608C4—44no—
1609C4—41no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—44no—
1626C4—44no—
1627C4—41no—
1628C4#347514yes—
1629C4#352414yes—
1630C2—44no—
1631C2—82no—
1632C2—82no—
1633C2C2×#347511yescharacteristic
1634C2C2×#352411yescharacteristic
1635C2#6280511yescharacteristic
1636C2#6296911yescharacteristic
1637C2#6299211yescharacteristic
1638C2#6299911yescharacteristic
1639C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59653C2semidirect
2. #59592C2semidirect
3. #59555C2semidirect
4. #59544C2semidirect
5. #59487C2semidirect
6. #59418C2semidirect
8. #59289C2semidirect
9. #45304C2semidirect
10. #45192C2semidirect
11. #44009C2semidirect
12. #43947C2semidirect
13. #40329C2semidirect
14. #39531C2semidirect
15. #39505C2semidirect
16. #39285C2semidirect
17. #39026C2semidirect
18. #38975C2semidirect
19. #36563C2semidirect
20. #36554C2semidirect
21. #36453C2semidirect
22. #36409C2semidirect
23. #36299C2semidirect
24. #36299C2semidirect
25. #36278C2semidirect
26. #36194C2semidirect
27. #35880C2semidirect
28. #35778C2semidirect
29. #34902C2semidirect
30. #34797C2semidirect
31. #34328C2semidirect
32. #34308C2semidirect
33. #34263C2semidirect
34. C4×#559C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596532
#595922
#595552
#595442
#594872
#594182
#594102
#592892
#453042
#451922
#440092
#439472
#403292
#395312
#395052
#392852
#390262
#389752
#365632
#365542
#364532
#364092
#362992
#362782
#361942
#358802
#357782
#349022
#347972
#343282
#343082
#342632
C4×#5592
C4×#5562