Finite Group Databasebeta

← #8466872

Subgroups — #8466872

Order 512.

4406 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59321C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#55771C214yesmaximal, complemented
5#55552C214yesmaximal, complemented
6#55106C214yesmaximal, complemented
7#53056C212yesmaximal, complemented
8#53048C212yesmaximal, complemented
9#49543C214yesmaximal, complemented
10#45664C212yesmaximal, complemented
11#45603C212yesmaximal, complemented
12#45235C212yesmaximal, complemented
13#45208C212yesmaximal, complemented
14#42860C212yesmaximal, complemented
15#42758C212yesmaximal, complemented
16#42707C212yesmaximal, complemented
17#42668C212yesmaximal, complemented
18#40192C212yesmaximal, complemented
19#39822C212yesmaximal, complemented
20#39603C212yesmaximal, complemented
21#39506C211yesmaximal, characteristic, complemented
22#39222C212yesmaximal, complemented
23#39125C211yesmaximal, characteristic, complemented
24#39125C211yesmaximal, characteristic, complemented
25#39125C211yesmaximal, characteristic, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37311C212yesmaximal, complemented
28#37287C212yesmaximal, complemented
29#36477C211yesmaximal, characteristic, complemented
30#36456C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35207C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2859C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2854C2212yes—
48#2851C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2838C2214yes—
52#2836C2214yes—
53#2831C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2823C2214yes—
58#2820C2214yes—
59#2803C2214yes—
60#2802C2214yes—
61#2800C2214yes—
62#2797C2214yes—
63#2796C2214yes—
64#2793C2214yes—
65#2792C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2788C2214yes—
69#2788C2214yes—
70#2787C2214yes—
71#2786C2214yes—
72#2783C2214yes—
73#2783C2214yes—
74#2781C2214yes—
75#2779C2214yes—
76#2777C2214yes—
77#2775C2214yes—
78#2772C2214yes—
79#2768C2214yes—
80#2768C2214yes—
81#2766C2214yes—
82#2765C2214yes—
83#2762C2214yes—
84#2755C2214yes—
85#2754C2214yes—
86#2747C2214yes—
87#2746C2214yes—
88#2739C2214yes—
89#2737C2214yes—
90#2734C2214yes—
91#2731C2214yes—
92#2729C2214yes—
93#2720C2214yes—
94#2717C2214yes—
95#2716C2214yes—
96#2716C2214yes—
97#2716C2214yes—
98#2713C2214yes—
99#2710C2214yes—
100#2708C2214yes—
101#2694C2214yes—
102#2687C2214yes—
103#2686C2214yes—
104#2674C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2672C2214yes—
108#2653C2214yes—
109#2652C2214yes—
110#2651C2214yes—
111#2651C2214yes—
112#2650C2214yes—
113#2649C2214yes—
114#2630C2214yes—
115#2629C2212yes—
116#2629C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2628C2212yes—
120#2621C2212yes—
121#2620C2212yes—
122#2620C2212yes—
123#2618C2214yes—
124#2608C2214yes—
125#2601C2214yes—
126#2597C2214yes—
127#2594C2214yes—
128#2587C2214yes—
129#2582C2211yescharacteristic
130#2582C2211yescharacteristic
131#2578C2214yes—
132#2574C2214yes—
133#2571C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2566C2212yes—
137#2565C2212yes—
138#2563C2211yescharacteristic
139#2563C2212yes—
140#2563C2211yescharacteristic
141#2555C2214yes—
142#2553C2212yes—
143#2553C2212yes—
144#2552C2212yes—
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2551C2212yes—
148#2551C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2547C2212yes—
153#2547C2212yes—
154#2547C2212yes—
155#2547C2211yescharacteristic
156#2546C2214yes—
157#2542C2211yescharacteristic
158#2538C2212yes—
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2538C2211yescharacteristic
162#2538C2211yescharacteristic
163#2537C2211yescharacteristic
164#2537C2211yescharacteristic
165#2536C2212yes—
166#2536C2212yes—
167#2536C2212yes—
168#2524C2214yes—
169#2522C2214yes—
170#2522C2214yes—
171#2520C2214yes—
172#2518C2214yes—
173#2514C2212yes—
174#2514C2212yes—
175#2513C2212yes—
176#2513C2212yes—
177#2511C2212yes—
178#2511C2212yes—
179#2508C2212yes—
180#2508C2212yes—
181#2508C2214yes—
182#2507C2212yes—
183#2506C2212yes—
184#2502C2212yes—
185#2499C2212yes—
186#2497C2212yes—
187#2497C2212yes—
188#2496C2212yes—
189#2495C2212yes—
190#2494C2214yes—
191#2494C2212yes—
192#2494C2212yes—
193#2491C2212yes—
194#2491C2214yes—
195#2491C2212yes—
196#2491C2212yes—
197#2490C2212yes—
198#2489C2211yescharacteristic
199#2489C2212yes—
200#2489C2212yes—
201#2489C2212yes—
202#2489C2211yescharacteristic
203#2487C2212yes—
204#2485C2212yes—
205#2478C2212yes—
206#2473C2214yes—
207#2470C2212yes—
208#2466C2212yes—
209#2458C2214yes—
210#2455C2212yes—
211#2453C2211yescharacteristic
212#2452C2214yes—
213#2452C2212yes—
214#2451C2212yes—
215#2451C2212yes—
216#2451C2212yes—
217#2451C2212yes—
218#2448C2212yes—
219#2448C2212yes—
220#2448C2212yes—
221#2447C2211yescharacteristic
222#2442C2212yes—
223#2442C2212yes—
224#2441C2211yescharacteristic
225#2441C2212yes—
226#2439C2212yes—
227#2439C2214yes—
228#2432C2211yescharacteristic
229#2429C2212yes—
230#2429C2211yescharacteristic
231#2427C2211yescharacteristic
232#2427C2211yescharacteristic
233#2423C2212yes—
234#2422C2212yes—
235#2422C2211yescharacteristic
236#2422C2212yes—
237#2421C2212yes—
238#2421C2212yes—
239#2421C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2415C2211yescharacteristic
246#2415C2212yes—
247#2414C2212yes—
248#2407C2211yescharacteristic
249#2407C2212yes—
250#2395C2212yes—
251#2395C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2379C2214yes—
255#2370C2212yes—
256#2370C2212yes—
257#2365C2212yes—
258#2365C2212yes—
259#2360C2212yes—
260#2360C2212yes—
261#2357C2212yes—
262#2355C2211yescharacteristic
263#2355C2211yescharacteristic
264#2355C2211yescharacteristic
265#2352C2212yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268#2347C2212yes—
269#2345C2212yes—
270#2345C2212yes—
271#2341C2212yes—
272#2337C2214yes—
273#2324C2212yes—
274#2324C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2314C2212yes—
280#2314C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#123C2212yes—
291C4×#121C2212yes—
292#2296C2212yes—
293#2293C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2212yes—
296C2×#384C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300Q82—44no—
301Q82—44no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312#529—44no—
313#529—44no—
314#529—44no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2314yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2314yes—
356C4×#41—44no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394C22×C42C2312yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#392C2314yes—
520#392C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2314yes—
543#391C2314yes—
544#391C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
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#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
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#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#383C2314yes—
722#383C2314yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#381C2314yes—
737#381C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—48no—
855C4⋊Q8—48no—
856C4⋊Q8—84no—
857#126—44no—
858#126—44no—
859#126—44no—
860#125—44no—
861#125—44no—
862#125—42no—
863#125—42no—
864#125—42no—
865#125—84no—
866#124—42no—
867#124—42no—
868#124—42no—
869#124—48no—
870#124—48no—
871#124—84no—
872#123—44no—
873#123—44no—
874#123—44no—
875#123—44no—
876#123—84no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—84no—
890C22⋊Q8—82no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—42no—
895#121—42no—
896#121—42no—
897#121—84no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—82no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—42no—
922#117—28no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—42no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—82no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2512yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q82−1+414yes—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—42no—
1209C2×D4—41no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
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—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—42no—
1395C22⋊C4—41no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—42no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—41no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—41no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42H(5,𝔽2)14yes—
1453C422−1+414yes—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23#58512yes—
1482C23C2611yescharacteristic
1483Q8—28no—
1484Q8—44no—
1485Q8—44no—
1486Q8—44no—
1487Q8—84no—
1488Q8—164no—
1489Q8—164no—
1490D4—44no—
1491D4—48no—
1492D4—44no—
1493D4—44no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—164no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
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—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
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—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—44no—
1582C2×C4—48no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—84no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—164no—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4C2×2−1+414yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4#58512yes—
1603C2×C4#58512yes—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22C22×H(5,𝔽2)11yescharacteristic
1633C22C22×2−1+411yescharacteristic
1634C22C22×2−1+411yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22H(7,𝔽2)11yescharacteristic
1639C4—24no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—44no—
1664C4—42no—
1665C4—41no—
1666C4—44no—
1667C4—44no—
1668C4#354114yes—
1669C4#354714yes—
1670C2—42no—
1671C2—81no—
1672C2—82no—
1673C2—82no—
1674C2C2×#354111yescharacteristic
1675C2C2×#354711yescharacteristic
1676C2#6283111yescharacteristic
1677C2#6294311yescharacteristic
1678C2#6295711yescharacteristic
1679C2#6296611yescharacteristic
1680C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59832C2semidirect
2. #59321C2semidirect
3. #59242C2semidirect
4. #55771C2semidirect
5. #55552C2semidirect
6. #55106C2semidirect
7. #53056C2semidirect
8. #53048C2semidirect
9. #49543C2semidirect
10. #45664C2semidirect
11. #45603C2semidirect
12. #45235C2semidirect
13. #45208C2semidirect
14. #42860C2semidirect
15. #42758C2semidirect
16. #42707C2semidirect
17. #42668C2semidirect
18. #40192C2semidirect
19. #39822C2semidirect
20. #39603C2semidirect
21. #39506C2semidirect
22. #39222C2semidirect
23. #39125C2semidirect
24. #39125C2semidirect
25. #39125C2semidirect
26. #37620C2semidirect
27. #37311C2semidirect
28. #37287C2semidirect
29. #36477C2semidirect
30. #36456C2semidirect
31. #36189C2semidirect
32. #35207C2semidirect
33. #35189C2semidirect
34. #34932C2semidirect
35. #34724C2semidirect

Maximal subgroups

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

subgroupindex
#598322
#593212
#592422
#557712
#555522
#551062
#530562
#530482
#495432
#456642
#456032
#452352
#452082
#428602
#427582
#427072
#426682
#401922
#398222
#396032
#395062
#392222
#391252
#376202
#373112
#372872
#364772
#364562
#361892
#352072
#351892
#349322
#347242