Finite Group Databasebeta

← #7987588

Subgroups — #7987588

Order 512.

5247 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59673C211yesmaximal, characteristic, complemented
2#59581C212yesmaximal, complemented
3#59545C212yesmaximal, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59057C211yesmaximal, characteristic, complemented
6#51934C214yesmaximal, complemented
7#51869C214yesmaximal, complemented
8#45738C214yesmaximal, complemented
9#45048C212yesmaximal, complemented
10#45033C212yesmaximal, complemented
11#44897C212yesmaximal, complemented
12#44888C212yesmaximal, complemented
13#42629C212yesmaximal, complemented
14#42624C212yesmaximal, complemented
15#42584C212yesmaximal, complemented
16#42578C212yesmaximal, complemented
17#39770C211yesmaximal, characteristic, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39386C211yesmaximal, characteristic, complemented
20#39351C211yesmaximal, characteristic, complemented
21#38286C212yesmaximal, complemented
22#38214C212yesmaximal, complemented
23#38033C214yesmaximal, complemented
24#36460C211yesmaximal, characteristic, complemented
25#36273C211yesmaximal, characteristic, complemented
26#36128C211yesmaximal, characteristic, complemented
27#36115C212yesmaximal, complemented
28#36113C212yesmaximal, complemented
29#35215C212yesmaximal, complemented
30#35169C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic, complemented
32#34793C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34368C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2211yescharacteristic
38C2×#550C2212yes—
39C2×#542C2212yes—
40C2×#540C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2214yes—
44#2867C2211yescharacteristic
45#2860C2212yes—
46#2858C2212yes—
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2214yes—
50#2852C2214yes—
51#2850C2214yes—
52#2829C2214yes—
53#2828C2214yes—
54#2803C2214yes—
55#2803C2214yes—
56#2801C2214yes—
57#2799C2214yes—
58#2797C2214yes—
59#2778C2214yes—
60#2761C2214yes—
61#2753C2214yes—
62#2753C2214yes—
63#2741C2214yes—
64#2741C2214yes—
65#2733C2214yes—
66#2730C2214yes—
67#2730C2214yes—
68#2730C2214yes—
69#2723C2214yes—
70#2714C2214yes—
71#2710C2214yes—
72#2709C2214yes—
73#2709C2214yes—
74#2709C2214yes—
75#2703C2214yes—
76#2703C2214yes—
77#2703C2214yes—
78#2699C2214yes—
79#2688C2214yes—
80#2686C2214yes—
81#2673C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2672C2214yes—
85#2672C2214yes—
86#2671C2214yes—
87#2663C2214yes—
88#2661C2214yes—
89#2649C2214yes—
90#2648C2214yes—
91#2641C2212yes—
92#2624C2212yes—
93#2624C2214yes—
94#2619C2212yes—
95#2619C2212yes—
96#2619C2214yes—
97#2610C2214yes—
98#2597C2214yes—
99#2591C2214yes—
100#2581C2214yes—
101#2578C2214yes—
102#2571C2211yescharacteristic
103#2559C2214yes—
104#2559C2214yes—
105#2559C2214yes—
106#2557C2214yes—
107#2555C2214yes—
108#2555C2214yes—
109#2553C2214yes—
110#2551C2211yescharacteristic
111#2550C2212yes—
112#2550C2212yes—
113#2548C2212yes—
114#2548C2211yescharacteristic
115#2548C2211yescharacteristic
116#2548C2214yes—
117#2544C2212yes—
118#2544C2212yes—
119#2542C2212yes—
120#2541C2212yes—
121#2541C2212yes—
122#2541C2212yes—
123#2541C2211yescharacteristic
124#2541C2212yes—
125#2541C2211yescharacteristic
126#2540C2212yes—
127#2540C2212yes—
128#2535C2212yes—
129#2531C2212yes—
130#2530C2212yes—
131#2529C2212yes—
132#2528C2212yes—
133#2526C2214yes—
134#2518C2212yes—
135#2517C2212yes—
136#2513C2212yes—
137#2512C2211yescharacteristic
138#2512C2212yes—
139#2512C2212yes—
140#2511C2211yescharacteristic
141#2509C2212yes—
142#2509C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2507C2211yescharacteristic
146#2506C2211yescharacteristic
147#2500C2212yes—
148#2500C2212yes—
149#2500C2211yescharacteristic
150#2499C2211yescharacteristic
151#2495C2211yescharacteristic
152#2494C2211yescharacteristic
153#2491C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2490C2212yes—
157#2490C2211yescharacteristic
158#2490C2212yes—
159#2489C2211yescharacteristic
160#2485C2211yescharacteristic
161#2485C2211yescharacteristic
162#2479C2214yes—
163#2477C2214yes—
164#2476C2214yes—
165#2476C2214yes—
166#2471C2214yes—
167#2471C2214yes—
168#2471C2214yes—
169#2470C2214yes—
170#2470C2214yes—
171#2467C2214yes—
172#2467C2214yes—
173#2467C2212yes—
174#2460C2214yes—
175#2460C2212yes—
176#2459C2214yes—
177#2458C2214yes—
178#2457C2214yes—
179#2454C2212yes—
180#2454C2212yes—
181#2452C2212yes—
182#2448C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2441C2211yescharacteristic
191#2441C2211yescharacteristic
192#2431C2212yes—
193#2431C2212yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2427C2214yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2214yes—
207#2426C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2420C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2214yes—
214#2415C2211yescharacteristic
215#2414C2212yes—
216#2414C2214yes—
217#2414C2211yescharacteristic
218#2414C2212yes—
219#2413C2214yes—
220#2407C2214yes—
221#2407C2214yes—
222#2401C2212yes—
223#2395C2212yes—
224#2395C2212yes—
225#2392C2212yes—
226#2379C2214yes—
227#2378C2214yes—
228#2372C2214yes—
229#2370C2212yes—
230#2369C2211yescharacteristic
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2366C2212yes—
234#2366C2212yes—
235#2366C2212yes—
236#2366C2212yes—
237#2366C2211yescharacteristic
238#2366C2211yescharacteristic
239#2366C2211yescharacteristic
240#2366C2211yescharacteristic
241#2365C2212yes—
242#2365C2212yes—
243#2363C2212yes—
244#2363C2212yes—
245#2363C2212yes—
246#2363C2212yes—
247#2363C2212yes—
248#2363C2212yes—
249#2362C2212yes—
250#2361C2212yes—
251#2361C2212yes—
252#2357C2212yes—
253#2354C2212yes—
254#2354C2212yes—
255#2354C2212yes—
256#2354C2211yescharacteristic
257#2352C2214yes—
258Q8×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2212yes—
261#2344C2212yes—
262#2330C2212yes—
263#2328C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2323C2212yes—
270#2323C2214yes—
271#2319C2212yes—
272#2316C2212yes—
273#2311C2214yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#126C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2297C2214yes—
286#2295C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#555—48no—
302#554—28no—
303#550—48no—
304#542—48no—
305#540—48no—
306#532—28no—
307#532—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2314yes—
321C2×#127C2312yes—
322#529—416no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2314yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2314yes—
418#401C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#383C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#381C2314yes—
737#381C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—82no—
823C2×#41—82no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—28no—
864C4⋊Q8—44no—
865C4⋊Q8#4118yes—
866#127—24no—
867#127—24no—
868#127—44no—
869#127—44no—
870#127—44no—
871#127—44no—
872#127—44no—
873#127—44no—
874#127—48no—
875#127—44no—
876#127—82no—
877#126—28no—
878#126—48no—
879#126—48no—
880#125—28no—
881#125—28no—
882#125—24no—
883#125—42no—
884#124—28no—
885#124—28no—
886#124—48no—
887#124—44no—
888#124—44no—
889#124—48no—
890#124—48no—
891#124—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—84no—
898C22⋊Q8—216no—
899C22⋊Q8—28no—
900C22⋊Q8—24no—
901C22⋊Q8—48no—
902C22⋊Q8—42no—
903C22⋊Q8—48no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—48no—
910#121—48no—
911#121—44no—
912#121—44no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—44no—
917#121—42no—
918#121—42no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—84no—
927#121—84no—
928#121—84no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—48no—
932C4×Q8—44no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955#117—24no—
956#117—44no—
957#117—44no—
958#117—44no—
959#117—48no—
960#117—48no—
961#117—42no—
962#117—42no—
963#117—42no—
964#117—48no—
965#117—44no—
966#117—84no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—84no—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—48no—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2414yes—
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196C24C2512yes—
1197C24C2514yes—
1198C24C2514yes—
1199C24C2511yescharacteristic
1200C24C2511yescharacteristic
1201#41—816no—
1202#41—816no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—28no—
1206C2×Q8—22no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8C2×#4118yes—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—28no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2514yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—22no—
1351C4⋊C4—28no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4C2×#4118yes—
1407C4⋊C4C2×#4118yes—
1408C4⋊C4H(5,𝔽2)14yes—
1409C4⋊C4H(5,𝔽2)14yes—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—28no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—22no—
1500C42—44no—
1501C42—44no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—44no—
1506C42—44no—
1507C42—42no—
1508C42—42no—
1509C42—44no—
1510C42—41no—
1511C42C2×#4114yes—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—21no—
1516C23—21no—
1517C23—22no—
1518C23—21no—
1519C23—21no—
1520C23—24no—
1521C23—24no—
1522C23—24no—
1523C23—24no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—24no—
1532C23—21no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—21no—
1542C23—24no—
1543C23—21no—
1544C23—21no—
1545C23—24no—
1546C23—22no—
1547C23C2611yescharacteristic
1548Q8—48no—
1549Q8—44no—
1550Q8—88no—
1551D4—44no—
1552D4—48no—
1553D4—48no—
1554D4—44no—
1555D4—48no—
1556D4—48no—
1557D4—88no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—84no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—84no—
1566D4—164no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570D4—164no—
1571D4—164no—
1572D4—164no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—416no—
1652C2×C4—416no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—164no—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4118yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)14yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4#58512yes—
1675C2×C4#58512yes—
1676C2×C4#58512yes—
1677C22—41no—
1678C22—41no—
1679C22—44no—
1680C22—44no—
1681C22—42no—
1682C22—44no—
1683C22—42no—
1684C22—44no—
1685C22—41no—
1686C22—41no—
1687C22—44no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—44no—
1692C22—42no—
1693C22—41no—
1694C22—41no—
1695C22—44no—
1696C22—44no—
1697C22—41no—
1698C22—41no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—44no—
1703C22—41no—
1704C22—42no—
1705C22—44no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—44no—
1710C22—44no—
1711C22—41no—
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—28no—
1722C4—22no—
1723C4—24no—
1724C4—22no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4#351714yes—
1748C4#352414yes—
1749C2—81no—
1750C2—81no—
1751C2—84no—
1752C2—84no—
1753C2—82no—
1754C2#6275911yescharacteristic
1755C2C2×#351711yescharacteristic
1756C2C2×#352411yescharacteristic
1757C2#6292311yescharacteristic
1758C2#6296611yescharacteristic
1759C2#6298311yescharacteristic
1760C2#6301411yescharacteristic
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. #59673C2semidirect
2. #59581C2semidirect
3. #59545C2semidirect
4. #59057C2semidirect
5. #59057C2semidirect
6. #51934C2semidirect
7. #51869C2semidirect
8. #45738C2semidirect
9. #45048C2semidirect
10. #45033C2semidirect
11. #44897C2semidirect
12. #44888C2semidirect
13. #42629C2semidirect
14. #42624C2semidirect
15. #42584C2semidirect
16. #42578C2semidirect
17. #39770C2semidirect
18. #39735C2semidirect
19. #39386C2semidirect
20. #39351C2semidirect
21. #38286C2semidirect
22. #38214C2semidirect
23. #38033C2semidirect
24. #36460C2semidirect
25. #36273C2semidirect
26. #36128C2semidirect
27. #36115C2semidirect
28. #36113C2semidirect
29. #35215C2semidirect
30. #35169C2semidirect
31. #34797C2semidirect
32. #34793C2semidirect
33. #34484C2semidirect
34. #34368C2semidirect
35. #34155C2semidirect

Maximal subgroups

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

subgroupindex
#596732
#595812
#595452
#590572
#519342
#518692
#457382
#450482
#450332
#448972
#448882
#426292
#426242
#425842
#425782
#397702
#397352
#393862
#393512
#382862
#382142
#380332
#364602
#362732
#361282
#361152
#361132
#352152
#351692
#347972
#347932
#344842
#343682
#341552