Finite Group Databasebeta

← #7647829

Subgroups — #7647829

Order 512.

4744 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41056C214yesmaximal, complemented
2#41053C214yesmaximal, complemented
3#41026C214yesmaximal, complemented
4#41023C214yesmaximal, complemented
5#39690C212yesmaximal, complemented
6#39424C212yesmaximal, complemented
7#39292C212yesmaximal, complemented
8#39054C212yesmaximal, complemented
9#38291C212yesmaximal, complemented
10#38219C212yesmaximal, complemented
11#37796C212yesmaximal, complemented
12#37758C212yesmaximal, complemented
13#37640C211yesmaximal, characteristic, complemented
14#37637C211yesmaximal, characteristic, complemented
15#37629C211yesmaximal, characteristic, complemented
16#37622C211yesmaximal, characteristic, complemented
17#37353C212yesmaximal, complemented
18#37345C212yesmaximal, complemented
19#37326C212yesmaximal, complemented
20#37315C212yesmaximal, complemented
21#35581C212yesmaximal, complemented
22#35561C212yesmaximal, complemented
23#35299C212yesmaximal, complemented
24#35288C212yesmaximal, complemented
25#35238C211yesmaximal, characteristic
26#35208C211yesmaximal, characteristic, complemented
27#35198C211yesmaximal, characteristic, complemented
28#35186C211yesmaximal, characteristic, complemented
29#35177C211yesmaximal, characteristic, complemented
30#35167C211yesmaximal, characteristic, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34934C211yesmaximal, characteristic, complemented
33#34226C211yesmaximal, characteristic, complemented
34#34145C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#544C2212yes—
37C2×#542C2212yes—
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2212yes—
42#2863C2212yes—
43#2861C2212yes—
44#2860C2212yes—
45#2860C2212yes—
46#2859C2212yes—
47#2858C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2857C2212yes—
51#2856C2212yes—
52#2855C2212yes—
53#2850C2212yes—
54#2831C2214yes—
55#2830C2214yes—
56#2820C2214yes—
57#2814C2214yes—
58#2808C2214yes—
59#2807C2214yes—
60#2800C2214yes—
61#2798C2214yes—
62#2786C2214yes—
63#2783C2214yes—
64#2783C2214yes—
65#2757C2214yes—
66#2750C2214yes—
67#2744C2214yes—
68#2737C2214yes—
69#2732C2214yes—
70#2731C2214yes—
71#2728C2214yes—
72#2727C2214yes—
73#2725C2214yes—
74#2725C2214yes—
75#2725C2214yes—
76#2724C2214yes—
77#2723C2214yes—
78#2722C2214yes—
79#2717C2214yes—
80#2704C2214yes—
81#2700C2214yes—
82#2692C2214yes—
83#2691C2214yes—
84#2691C2214yes—
85#2689C2214yes—
86#2689C2214yes—
87#2681C2214yes—
88#2681C2214yes—
89#2674C2214yes—
90#2666C2214yes—
91#2665C2214yes—
92#2664C2214yes—
93#2662C2214yes—
94#2662C2214yes—
95#2659C2214yes—
96#2651C2214yes—
97#2647C2212yes—
98#2644C2212yes—
99#2644C2212yes—
100#2644C2212yes—
101#2640C2212yes—
102#2640C2212yes—
103#2638C2214yes—
104#2637C2214yes—
105#2629C2212yes—
106#2628C2212yes—
107#2625C2212yes—
108#2625C2212yes—
109#2624C2212yes—
110#2624C2212yes—
111#2624C2212yes—
112#2621C2212yes—
113#2620C2212yes—
114#2620C2212yes—
115#2616C2214yes—
116#2608C2214yes—
117#2596C2214yes—
118#2592C2212yes—
119#2589C2214yes—
120#2587C2214yes—
121#2586C2214yes—
122#2584C2212yes—
123#2582C2211yescharacteristic
124#2582C2211yescharacteristic
125#2578C2214yes—
126#2574C2214yes—
127#2567C2211yescharacteristic
128#2567C2211yescharacteristic
129#2567C2211yescharacteristic
130#2566C2212yes—
131#2563C2211yescharacteristic
132#2560C2214yes—
133#2560C2214yes—
134#2558C2214yes—
135#2554C2214yes—
136#2552C2211yescharacteristic
137#2552C2211yescharacteristic
138#2552C2212yes—
139#2551C2211yescharacteristic
140#2551C2211yescharacteristic
141#2551C2212yes—
142#2550C2212yes—
143#2550C2214yes—
144#2550C2212yes—
145#2549C2214yes—
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic
149#2547C2212yes—
150#2544C2212yes—
151#2542C2212yes—
152#2541C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2212yes—
155#2538C2212yes—
156#2538C2211yescharacteristic
157#2532C2214yes—
158#2531C2214yes—
159#2531C2214yes—
160#2526C2214yes—
161#2513C2214yes—
162#2512C2212yes—
163#2512C2212yes—
164#2512C2212yes—
165#2511C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2212yes—
170#2507C2212yes—
171#2506C2212yes—
172#2497C2212yes—
173#2496C2212yes—
174#2492C2212yes—
175#2491C2212yes—
176#2490C2212yes—
177#2490C2214yes—
178#2489C2212yes—
179#2478C2214yes—
180#2477C2214yes—
181#2468C2214yes—
182#2466C2214yes—
183#2465C2214yes—
184#2465C2214yes—
185#2462C2214yes—
186#2461C2214yes—
187#2460C2214yes—
188#2454C2214yes—
189#2454C2212yes—
190#2453C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2452C2212yes—
194#2452C2212yes—
195#2451C2212yes—
196#2451C2212yes—
197#2450C2214yes—
198#2448C2214yes—
199#2448C2212yes—
200#2447C2214yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2445C2212yes—
205#2445C2212yes—
206#2439C2214yes—
207#2438C2214yes—
208#2430C2214yes—
209#2429C2214yes—
210#2427C2214yes—
211#2426C2214yes—
212#2426C2212yes—
213#2426C2212yes—
214#2420C2214yes—
215#2419C2214yes—
216#2416C2212yes—
217#2416C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2399C2214yes—
221#2392C2214yes—
222#2370C2212yes—
223#2370C2212yes—
224#2369C2211yescharacteristic
225#2369C2211yescharacteristic
226#2368C2212yes—
227#2368C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2363C2212yes—
233#2363C2212yes—
234#2360C2211yescharacteristic
235#2360C2211yescharacteristic
236#2360C2211yescharacteristic
237#2360C2211yescharacteristic
238#2357C2212yes—
239#2349C2212yes—
240#2341C2212yes—
241#2339C2212yes—
242#2335C2212yes—
243#2335C2212yes—
244#2334C2212yes—
245#2334C2212yes—
246#2331C2212yes—
247#2330C2211yescharacteristic
248#2330C2211yescharacteristic
249#2330C2212yes—
250#2326C2211yescharacteristic
251#2326C2211yescharacteristic
252#2326C2212yes—
253#2324C2212yes—
254#2324C2212yes—
255#2324C2211yescharacteristic
256#2324C2211yescharacteristic
257#2324C2212yes—
258#2324C2212yes—
259#2324C2212yes—
260#2323C2211yescharacteristic
261#2323C2211yescharacteristic
262#2320C2212yes—
263#2319C2212yes—
264#2319C2212yes—
265#2319C2212yes—
266#2316C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#127C2211yescharacteristic
272C4×#127C2212yes—
273C4×#127C2211yescharacteristic
274C4×#121C2212yes—
275#2298C2212yes—
276#2296C2212yes—
277#2296C2212yes—
278#2295C2211yescharacteristic
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#544—48no—
301#542—48no—
302#533—28no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—28no—
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2314yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2314yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
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#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#383C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2314yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C2×#41—28no—
817C2×#41—82no—
818C2×#41—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853#127—24no—
854#127—44no—
855#126—28no—
856#126—48no—
857#126—48no—
858#126—84no—
859#126—84no—
860#125—28no—
861#125—24no—
862#125—28no—
863#125—44no—
864#125—48no—
865#125—84no—
866#124—24no—
867#124—28no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—48no—
872#124—84no—
873#123—28no—
874#123—48no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889#121—24no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—84no—
895#121—84no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—28no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—42no—
906C4×Q8—82no—
907C4×Q8—84no—
908C4×Q8—82no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—48no—
919C4×D4—44no—
920C4×D4—84no—
921C4×D4—82no—
922C4×D4—82no—
923#117—28no—
924#117—28no—
925#117—24no—
926#117—42no—
927#117—44no—
928#117—44no—
929#117—48no—
930#117—44no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—44no—
1059C2×C42—44no—
1060C2×C42#4118yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
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—
1173C24C2512yes—
1174C24C2514yes—
1175C24C2511yescharacteristic
1176#41—816no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—28no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—28no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4C2×#4114yes—
1253C22×C4C2×#4114yes—
1254C22×C4C2×#4114yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4H(5,𝔽2)14yes—
1363C4⋊C42−1+414yes—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
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—42no—
1411C22⋊C4—42no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—42no—
1437C42—41no—
1438C42—41no—
1439C42—42no—
1440C42—42no—
1441C42—41no—
1442C42—42no—
1443C42—44no—
1444C42—41no—
1445C42—44no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42C2×#4114yes—
1450C42C2×#4114yes—
1451C42C2×#4114yes—
1452C42C2×#4114yes—
1453C422−1+414yes—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—24no—
1462C23—24no—
1463C23—22no—
1464C23—24no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23C22×#4112yes—
1475C23C2611yescharacteristic
1476Q8—48no—
1477Q8—44no—
1478Q8—44no—
1479Q8—44no—
1480Q8—84no—
1481Q8—88no—
1482Q8—164no—
1483D4—48no—
1484D4—44no—
1485D4—48no—
1486D4—48no—
1487D4—88no—
1488D4—88no—
1489D4—84no—
1490D4—88no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—28no—
1508C2×C4—28no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—84no—
1578C2×C4—88no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—88no—
1582C2×C4—84no—
1583C2×C4—164no—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C2×H(5,𝔽2)14yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+414yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4#58512yes—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—44no—
1607C22—44no—
1608C22—42no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22C23×#4111yescharacteristic
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C22×2−1+411yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22H(7,𝔽2)11yescharacteristic
1625C22H(7,𝔽2)11yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—24no—
1631C4—22no—
1632C4—22no—
1633C4—24no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—44no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—41no—
1649C4—44no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4#346114yes—
1657C4#351114yes—
1658C2—42no—
1659C2—82no—
1660C2—84no—
1661C2C2×#346111yescharacteristic
1662C2C2×#351111yescharacteristic
1663C2#6285511yescharacteristic
1664C2#6291711yescharacteristic
1665C2#6292011yescharacteristic
1666C2#6294311yescharacteristic
1667C2#6295111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35238C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41056C2semidirect
2. #41053C2semidirect
3. #41026C2semidirect
4. #41023C2semidirect
5. #39690C2semidirect
6. #39424C2semidirect
7. #39292C2semidirect
8. #39054C2semidirect
9. #38291C2semidirect
10. #38219C2semidirect
11. #37796C2semidirect
12. #37758C2semidirect
13. #37640C2semidirect
14. #37637C2semidirect
15. #37629C2semidirect
16. #37622C2semidirect
17. #37353C2semidirect
18. #37345C2semidirect
19. #37326C2semidirect
20. #37315C2semidirect
21. #35581C2semidirect
22. #35561C2semidirect
23. #35299C2semidirect
24. #35288C2semidirect
26. #35208C2semidirect
27. #35198C2semidirect
28. #35186C2semidirect
29. #35177C2semidirect
30. #35167C2semidirect
31. #34950C2semidirect
32. #34934C2semidirect
33. #34226C2semidirect
34. #34145C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#410562
#410532
#410262
#410232
#396902
#394242
#392922
#390542
#382912
#382192
#377962
#377582
#376402
#376372
#376292
#376222
#373532
#373452
#373262
#373152
#355812
#355612
#352992
#352882
#352382
#352082
#351982
#351862
#351772
#351672
#349502
#349342
#342262
#341452
#340842