Finite Group Databasebeta

← #7712086

Subgroups — #7712086

Order 512.

4758 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59909C212yesmaximal, complemented
2#59908C212yesmaximal, complemented
3#59876C212yesmaximal, complemented
4#59829C212yesmaximal, complemented
5#45813C214yesmaximal, complemented
6#45812C214yesmaximal, complemented
7#39731C212yesmaximal, complemented
8#39730C212yesmaximal, complemented
9#39719C212yesmaximal, complemented
10#39718C212yesmaximal, complemented
11#39571C214yesmaximal, complemented
12#39570C214yesmaximal, complemented
13#39201C211yesmaximal, characteristic, complemented
14#39200C211yesmaximal, characteristic, complemented
15#38985C211yesmaximal, characteristic, complemented
16#38984C211yesmaximal, characteristic, complemented
17#38117C212yesmaximal, complemented
18#38116C212yesmaximal, complemented
19#37633C211yesmaximal, characteristic, complemented
20#37616C211yesmaximal, characteristic
21#37327C212yesmaximal, complemented
22#37327C212yesmaximal, complemented
23#36645C211yesmaximal, characteristic, complemented
24#36639C211yesmaximal, characteristic, complemented
25#36476C211yesmaximal, characteristic, complemented
26#36469C211yesmaximal, characteristic, complemented
27#36381C212yesmaximal, complemented
28#36368C212yesmaximal, complemented
29#36286C211yesmaximal, characteristic, complemented
30#36271C211yesmaximal, characteristic, complemented
31#35300C212yesmaximal, complemented
32#35269C212yesmaximal, complemented
33#34394C211yesmaximal, characteristic, complemented
34#34393C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2212yes—
38C2×#533C2211yescharacteristic
39C2×#533C2212yes—
40C2×#532C2211yescharacteristic
41C2×#529C2211yescharacteristic
42#2868C2211yescharacteristic
43#2868C2211yescharacteristic
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2862C2211yescharacteristic
47#2862C2212yes—
48#2861C2212yes—
49#2861C2212yes—
50#2860C2212yes—
51#2859C2212yes—
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2858C2211yescharacteristic
55#2858C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2212yes—
61#2857C2212yes—
62#2855C2212yes—
63#2854C2212yes—
64#2850C2212yes—
65#2850C2212yes—
66#2850C2212yes—
67#2850C2212yes—
68#2814C2214yes—
69#2813C2214yes—
70#2795C2214yes—
71#2795C2214yes—
72#2793C2214yes—
73#2793C2214yes—
74#2790C2214yes—
75#2790C2214yes—
76#2786C2214yes—
77#2778C2214yes—
78#2773C2214yes—
79#2767C2214yes—
80#2762C2214yes—
81#2756C2214yes—
82#2754C2214yes—
83#2750C2214yes—
84#2731C2214yes—
85#2731C2214yes—
86#2730C2214yes—
87#2729C2214yes—
88#2729C2214yes—
89#2728C2214yes—
90#2723C2214yes—
91#2718C2214yes—
92#2718C2214yes—
93#2716C2214yes—
94#2716C2214yes—
95#2715C2214yes—
96#2712C2214yes—
97#2710C2214yes—
98#2700C2214yes—
99#2696C2214yes—
100#2674C2214yes—
101#2674C2214yes—
102#2645C2212yes—
103#2644C2212yes—
104#2637C2214yes—
105#2636C2214yes—
106#2629C2212yes—
107#2629C2212yes—
108#2625C2212yes—
109#2624C2212yes—
110#2621C2212yes—
111#2620C2212yes—
112#2620C2212yes—
113#2620C2212yes—
114#2620C2212yes—
115#2619C2212yes—
116#2607C2214yes—
117#2605C2214yes—
118#2602C2214yes—
119#2601C2214yes—
120#2594C2214yes—
121#2592C2212yes—
122#2592C2212yes—
123#2592C2212yes—
124#2592C2212yes—
125#2589C2214yes—
126#2588C2214yes—
127#2587C2214yes—
128#2582C2212yes—
129#2581C2212yes—
130#2581C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2578C2214yes—
134#2576C2214yes—
135#2574C2214yes—
136#2573C2214yes—
137#2572C2214yes—
138#2570C2212yes—
139#2570C2212yes—
140#2568C2212yes—
141#2568C2211yescharacteristic
142#2567C2211yescharacteristic
143#2566C2212yes—
144#2565C2212yes—
145#2563C2211yescharacteristic
146#2560C2214yes—
147#2560C2214yes—
148#2558C2214yes—
149#2557C2214yes—
150#2553C2214yes—
151#2548C2212yes—
152#2548C2211yescharacteristic
153#2547C2211yescharacteristic
154#2546C2211yescharacteristic
155#2545C2212yes—
156#2545C2212yes—
157#2544C2212yes—
158#2544C2212yes—
159#2542C2211yescharacteristic
160#2541C2211yescharacteristic
161#2538C2212yes—
162#2531C2214yes—
163#2529C2214yes—
164#2527C2214yes—
165#2526C2214yes—
166#2526C2214yes—
167#2525C2214yes—
168#2523C2214yes—
169#2522C2214yes—
170#2522C2214yes—
171#2521C2214yes—
172#2519C2214yes—
173#2518C2214yes—
174#2518C2214yes—
175#2518C2214yes—
176#2515C2214yes—
177#2514C2212yes—
178#2513C2212yes—
179#2512C2212yes—
180#2512C2212yes—
181#2512C2212yes—
182#2511C2212yes—
183#2511C2212yes—
184#2511C2212yes—
185#2505C2214yes—
186#2492C2212yes—
187#2492C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2488C2214yes—
191#2485C2212yes—
192#2485C2212yes—
193#2477C2214yes—
194#2475C2214yes—
195#2470C2214yes—
196#2467C2214yes—
197#2466C2214yes—
198#2463C2214yes—
199#2461C2214yes—
200#2460C2214yes—
201#2457C2214yes—
202#2452C2212yes—
203#2452C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2448C2212yes—
207#2447C2212yes—
208#2446C2212yes—
209#2445C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2422C2212yes—
213#2422C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2378C2214yes—
217#2377C2214yes—
218#2373C2214yes—
219#2372C2214yes—
220#2369C2211yescharacteristic
221#2369C2211yescharacteristic
222#2368C2214yes—
223#2367C2212yes—
224#2367C2212yes—
225#2366C2211yescharacteristic
226#2366C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2359C2214yes—
232#2357C2212yes—
233#2357C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2351C2212yes—
239#2349C2212yes—
240#2347C2212yes—
241#2346C2212yes—
242#2341C2212yes—
243#2339C2212yes—
244#2330C2212yes—
245#2330C2212yes—
246#2326C2212yes—
247#2326C2212yes—
248#2324C2212yes—
249#2324C2212yes—
250#2324C2212yes—
251#2323C2212yes—
252#2323C2212yes—
253#2323C2212yes—
254#2320C2212yes—
255#2320C2214yes—
256#2319C2212yes—
257#2318C2214yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2297C2212yes—
284#2297C2212yes—
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300#559—48no—
301#556—48no—
302#533—28no—
303#533—48no—
304#532—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319#529—28no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
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#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2314yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—42no—
853C4⋊Q8—42no—
854C4⋊Q8—42no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#127—24no—
861#127—44no—
862#126—28no—
863#126—48no—
864#126—48no—
865#126—48no—
866#125—24no—
867#125—28no—
868#125—44no—
869#125—44no—
870#124—24no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—44no—
875#124—44no—
876#124—44no—
877#124—44no—
878#124—48no—
879#124—48no—
880#123—28no—
881#123—48no—
882#123—48no—
883#123—48no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895#121—24no—
896#121—28no—
897#121—28no—
898#121—44no—
899#121—44no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926#117—28no—
927#117—28no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—48no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42—42no—
1054C2×C42—42no—
1055C2×C42—42no—
1056C2×C42—42no—
1057C2×C42#4118yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2512yes—
1175C24C2514yes—
1176C24C2511yescharacteristic
1177#41—816no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4C2×#4114yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2×#4114yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C42—24no—
1416C42—28no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—41no—
1440C42—41no—
1441C42—42no—
1442C42—42no—
1443C42—41no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42C2×#4114yes—
1458C42C2×#4114yes—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42H(5,𝔽2)14yes—
1462C422−1+414yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—22no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23C22×#4112yes—
1484C23C2611yescharacteristic
1485Q8—48no—
1486Q8—44no—
1487Q8—48no—
1488Q8—84no—
1489Q8—84no—
1490Q8—84no—
1491Q8—84no—
1492Q8—84no—
1493D4—48no—
1494D4—48no—
1495D4—44no—
1496D4—48no—
1497D4—84no—
1498D4—88no—
1499D4—88no—
1500D4—164no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
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—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—28no—
1522C2×C4—28no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C2×C4—164no—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×H(5,𝔽2)12yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—44no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—44no—
1631C22C23×#4111yescharacteristic
1632C22C22×H(5,𝔽2)11yescharacteristic
1633C22C22×2−1+411yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4#351014yes—
1669C4#351114yes—
1670C2—42no—
1671C2—84no—
1672C2—82no—
1673C2#6275911yescharacteristic
1674C2#6276111yescharacteristic
1675C2C2×#351111yescharacteristic
1676C2C2×#351011yescharacteristic
1677C2#6281511yescharacteristic
1678C2#6283011yescharacteristic
1679C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37616C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59909C2semidirect
2. #59908C2semidirect
3. #59876C2semidirect
4. #59829C2semidirect
5. #45813C2semidirect
6. #45812C2semidirect
7. #39731C2semidirect
8. #39730C2semidirect
9. #39719C2semidirect
10. #39718C2semidirect
11. #39571C2semidirect
12. #39570C2semidirect
13. #39201C2semidirect
14. #39200C2semidirect
15. #38985C2semidirect
16. #38984C2semidirect
17. #38117C2semidirect
18. #38116C2semidirect
19. #37633C2semidirect
21. #37327C2semidirect
22. #37327C2semidirect
23. #36645C2semidirect
24. #36639C2semidirect
25. #36476C2semidirect
26. #36469C2semidirect
27. #36381C2semidirect
28. #36368C2semidirect
29. #36286C2semidirect
30. #36271C2semidirect
31. #35300C2semidirect
32. #35269C2semidirect
33. #34394C2semidirect
34. #34393C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#599092
#599082
#598762
#598292
#458132
#458122
#397312
#397302
#397192
#397182
#395712
#395702
#392012
#392002
#389852
#389842
#381172
#381162
#376332
#376162
#373272
#366452
#366392
#364762
#364692
#363812
#363682
#362862
#362712
#353002
#352692
#343942
#343932
C4×#5292