Finite Group Databasebeta

← #7987117

Subgroups — #7987117

Order 512.

4525 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59434C211yesmaximal, characteristic, complemented
3#59427C211yesmaximal, characteristic, complemented
4#59331C212yesmaximal, complemented
5#59082C212yesmaximal, complemented
6#50731C214yesmaximal, complemented
7#49892C214yesmaximal, complemented
8#46078C212yesmaximal, complemented
9#46019C212yesmaximal, complemented
10#45343C212yesmaximal, complemented
11#45218C212yesmaximal, complemented
12#44269C214yesmaximal, complemented
13#42802C212yesmaximal, complemented
14#42632C212yesmaximal, complemented
15#42047C214yesmaximal, complemented
16#40075C212yesmaximal, complemented
17#40071C212yesmaximal, complemented
18#39927C212yesmaximal, complemented
19#39788C212yesmaximal, complemented
20#39505C211yesmaximal, characteristic
21#39194C211yesmaximal, characteristic
22#37799C212yesmaximal, complemented
23#36600C211yesmaximal, characteristic, complemented
24#36593C211yesmaximal, characteristic, complemented
25#36563C211yesmaximal, characteristic, complemented
26#36503C212yesmaximal, complemented
27#36477C211yesmaximal, characteristic, complemented
28#36192C211yesmaximal, characteristic, complemented
29#35294C212yesmaximal, complemented
30#35209C211yesmaximal, characteristic, complemented
31#35209C211yesmaximal, characteristic, complemented
32#34932C211yesmaximal, characteristic
33#34893C211yesmaximal, characteristic, complemented
34#34420C212yesmaximal, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#556C2211yescharacteristic
38C2×#541C2212yes—
39C2×#541C2212yes—
40C2×#529C2212yes—
41#2868C2211yescharacteristic
42#2868C2212yes—
43#2860C2212yes—
44#2860C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2212yes—
48#2859C2212yes—
49#2859C2212yes—
50#2855C2212yes—
51#2851C2212yes—
52#2837C2214yes—
53#2823C2214yes—
54#2802C2214yes—
55#2801C2214yes—
56#2800C2214yes—
57#2795C2214yes—
58#2793C2214yes—
59#2783C2214yes—
60#2777C2214yes—
61#2777C2214yes—
62#2776C2214yes—
63#2770C2214yes—
64#2766C2214yes—
65#2762C2214yes—
66#2762C2214yes—
67#2754C2214yes—
68#2747C2214yes—
69#2741C2214yes—
70#2731C2214yes—
71#2731C2214yes—
72#2729C2214yes—
73#2727C2214yes—
74#2725C2214yes—
75#2725C2214yes—
76#2725C2214yes—
77#2721C2214yes—
78#2719C2214yes—
79#2719C2214yes—
80#2718C2214yes—
81#2718C2214yes—
82#2716C2214yes—
83#2707C2214yes—
84#2704C2214yes—
85#2702C2214yes—
86#2674C2214yes—
87#2664C2214yes—
88#2664C2214yes—
89#2664C2214yes—
90#2655C2214yes—
91#2654C2214yes—
92#2629C2214yes—
93#2628C2214yes—
94#2624C2212yes—
95#2620C2212yes—
96#2608C2214yes—
97#2601C2214yes—
98#2594C2214yes—
99#2594C2214yes—
100#2592C2212yes—
101#2590C2214yes—
102#2589C2212yes—
103#2587C2214yes—
104#2587C2212yes—
105#2585C2214yes—
106#2585C2214yes—
107#2584C2211yescharacteristic
108#2582C2212yes—
109#2580C2211yescharacteristic
110#2570C2212yes—
111#2570C2214yes—
112#2570C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2568C2212yes—
116#2567C2212yes—
117#2566C2211yescharacteristic
118#2566C2212yes—
119#2553C2214yes—
120#2552C2214yes—
121#2552C2211yescharacteristic
122#2552C2211yescharacteristic
123#2552C2211yescharacteristic
124#2552C2212yes—
125#2552C2212yes—
126#2552C2212yes—
127#2552C2212yes—
128#2550C2214yes—
129#2550C2211yescharacteristic
130#2550C2212yes—
131#2550C2212yes—
132#2547C2211yescharacteristic
133#2546C2212yes—
134#2546C2211yescharacteristic
135#2546C2211yescharacteristic
136#2546C2212yes—
137#2546C2214yes—
138#2545C2212yes—
139#2545C2212yes—
140#2542C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic
143#2537C2211yescharacteristic
144#2532C2214yes—
145#2532C2214yes—
146#2528C2214yes—
147#2527C2214yes—
148#2522C2212yes—
149#2522C2214yes—
150#2522C2214yes—
151#2519C2214yes—
152#2519C2214yes—
153#2519C2214yes—
154#2519C2214yes—
155#2515C2214yes—
156#2514C2212yes—
157#2512C2212yes—
158#2512C2212yes—
159#2511C2212yes—
160#2509C2212yes—
161#2509C2211yescharacteristic
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2507C2211yescharacteristic
166#2506C2212yes—
167#2506C2212yes—
168#2500C2212yes—
169#2500C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2494C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2490C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2475C2214yes—
187#2475C2214yes—
188#2474C2214yes—
189#2469C2214yes—
190#2469C2214yes—
191#2468C2214yes—
192#2466C2214yes—
193#2465C2212yes—
194#2460C2214yes—
195#2454C2212yes—
196#2454C2211yescharacteristic
197#2454C2212yes—
198#2453C2214yes—
199#2453C2212yes—
200#2453C2212yes—
201#2452C2211yescharacteristic
202#2451C2212yes—
203#2451C2212yes—
204#2448C2212yes—
205#2446C2212yes—
206#2441C2212yes—
207#2441C2212yes—
208#2441C2214yes—
209#2441C2212yes—
210#2441C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2214yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2427C2212yes—
218#2426C2212yes—
219#2422C2212yes—
220#2396C2212yes—
221#2396C2212yes—
222#2395C2214yes—
223#2383C2214yes—
224#2383C2214yes—
225#2373C2212yes—
226#2373C2214yes—
227#2373C2214yes—
228#2373C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2370C2212yes—
233#2370C2212yes—
234#2370C2212yes—
235#2369C2212yes—
236#2367C2211yescharacteristic
237#2367C2211yescharacteristic
238#2367C2214yes—
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2365C2212yes—
242#2362C2212yes—
243#2357C2212yes—
244#2356C2212yes—
245#2356C2211yescharacteristic
246#2356C2211yescharacteristic
247#2355C2211yescharacteristic
248#2355C2211yescharacteristic
249#2355C2211yescharacteristic
250#2355C2212yes—
251#2354C2211yescharacteristic
252#2354C2211yescharacteristic
253#2354C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256Q8×C4⋊C4C2212yes—
257Q8×C4⋊C4C2212yes—
258#2347C2212yes—
259#2347C2212yes—
260#2346C2212yes—
261#2336C2214yes—
262#2336C2214yes—
263#2331C2214yes—
264#2330C2214yes—
265#2330C2214yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2314C2212yes—
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#126C2212yes—
280C4×#126C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2212yes—
288#2296C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2285C2212yes—
292#2285C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#557—48no—
300#556—28no—
301#541—216no—
302#541—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C22×C42C2312yes—
378C22×C42C2312yes—
379#401C2314yes—
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2312yes—
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2312yes—
469#393C2312yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
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#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#386C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2314yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#383C2312yes—
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2414yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C4⋊Q8—28no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—42no—
834C4⋊Q8—44no—
835C4⋊Q8—48no—
836C4⋊Q8—44no—
837C4⋊Q8—48no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840#126—216no—
841#126—28no—
842#126—216no—
843#126—28no—
844#126—48no—
845#126—48no—
846#126—48no—
847#125—28no—
848#125—216no—
849#125—28no—
850#125—28no—
851#125—216no—
852#125—24no—
853#125—44no—
854#125—42no—
855#125—44no—
856#125—48no—
857#125—48no—
858#125—48no—
859#125—48no—
860#124—24no—
861#124—24no—
862#124—44no—
863#124—48no—
864#123—48no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—44no—
872#121—44no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—48no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8#4118yes—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—42no—
895C4×D4—48no—
896#117—28no—
897#117—28no—
898#117—44no—
899#117—44no—
900#117—44no—
901#117—44no—
902#117—48no—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C42—28no—
1030C2×C42—44no—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2512yes—
1154C24C2512yes—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—28no—
1167C2×Q8—41no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8C2×#4114yes—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4C2×#4114yes—
1321C4⋊C4C2×#4118yes—
1322C4⋊C4H(5,𝔽2)14yes—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—28no—
1364C42—22no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—42no—
1384C42—42no—
1385C42—41no—
1386C42—42no—
1387C42—41no—
1388C42—41no—
1389C42—42no—
1390C42—44no—
1391C42—42no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—41no—
1396C42—41no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42C2×#4114yes—
1402C42C2×#4118yes—
1403C422−1+414yes—
1404C422−1+414yes—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23C2611yescharacteristic
1420Q8—28no—
1421Q8—44no—
1422Q8—48no—
1423Q8—44no—
1424Q8—84no—
1425Q8—88no—
1426D4—44no—
1427D4—44no—
1428D4—88no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—48no—
1514C2×C4—48no—
1515C2×C4—48no—
1516C2×C4—48no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4114yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4112yes—
1524C2×C4C2×H(5,𝔽2)14yes—
1525C2×C4C2×H(5,𝔽2)12yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4#58512yes—
1533C2×C4#58512yes—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22C23×#4111yescharacteristic
1549C22C22×H(5,𝔽2)11yescharacteristic
1550C22C22×2−1+411yescharacteristic
1551C22C22×2−1+411yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C222−1+611yescharacteristic
1555C4—22no—
1556C4—22no—
1557C4—24no—
1558C4—22no—
1559C4—24no—
1560C4—22no—
1561C4—22no—
1562C4—24no—
1563C4—22no—
1564C4—42no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—44no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4#351114yes—
1587C4#355514yes—
1588C2—82no—
1589C2—82no—
1590C2C2×#355511yescharacteristic
1591C2C2×#351111yescharacteristic
1592C2#6280511yescharacteristic
1593C2#6291511yescharacteristic
1594C2#6295611yescharacteristic
1595C2#6300711yescharacteristic
1596C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59681C2semidirect
2. #59434C2semidirect
3. #59427C2semidirect
4. #59331C2semidirect
5. #59082C2semidirect
6. #50731C2semidirect
7. #49892C2semidirect
8. #46078C2semidirect
9. #46019C2semidirect
10. #45343C2semidirect
11. #45218C2semidirect
12. #44269C2semidirect
13. #42802C2semidirect
14. #42632C2semidirect
15. #42047C2semidirect
16. #40075C2semidirect
17. #40071C2semidirect
18. #39927C2semidirect
19. #39788C2semidirect
22. #37799C2semidirect
23. #36600C2semidirect
24. #36593C2semidirect
25. #36563C2semidirect
26. #36503C2semidirect
27. #36477C2semidirect
28. #36192C2semidirect
29. #35294C2semidirect
30. #35209C2semidirect
31. #35209C2semidirect
33. #34893C2semidirect
34. #34420C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#594342
#594272
#593312
#590822
#507312
#498922
#460782
#460192
#453432
#452182
#442692
#428022
#426322
#420472
#400752
#400712
#399272
#397882
#395052
#391942
#377992
#366002
#365932
#365632
#365032
#364772
#361922
#352942
#352092
#349322
#348932
#344202
C4×#5562