Finite Group Databasebeta

← #7647313

Subgroups — #7647313

Order 512.

4923 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42906C212yesmaximal, complemented
2#42893C212yesmaximal, complemented
3#42625C212yesmaximal, complemented
4#42584C212yesmaximal, complemented
5#41337C214yesmaximal, complemented
6#41250C214yesmaximal, complemented
7#39818C212yesmaximal, complemented
8#39754C211yesmaximal, characteristic, complemented
9#39735C211yesmaximal, characteristic, complemented
10#39507C211yesmaximal, characteristic, complemented
11#39479C211yesmaximal, characteristic, complemented
12#39270C212yesmaximal, complemented
13#39201C211yesmaximal, characteristic, complemented
14#39169C211yesmaximal, characteristic, complemented
15#39138C211yesmaximal, characteristic, complemented
16#39126C211yesmaximal, characteristic, complemented
17#37987C212yesmaximal, complemented
18#37954C212yesmaximal, complemented
19#37626C212yesmaximal, complemented
20#37591C212yesmaximal, complemented
21#37228C214yesmaximal, complemented
22#37222C214yesmaximal, complemented
23#35588C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35288C211yesmaximal, characteristic, complemented
26#35218C212yesmaximal, complemented
27#35215C212yesmaximal, complemented
28#35210C212yesmaximal, complemented
29#35171C211yesmaximal, characteristic, complemented
30#35156C212yesmaximal, complemented
31#34943C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic, complemented
33#34317C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#540C2212yes—
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41C2×C4×#41C2212yes—
42#2859C2211yescharacteristic
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2212yes—
47#2854C2214yes—
48#2854C2212yes—
49#2853C2214yes—
50#2852C2214yes—
51#2852C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2803C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2803C2214yes—
60#2802C2214yes—
61#2797C2214yes—
62#2796C2214yes—
63#2777C2214yes—
64#2774C2214yes—
65#2770C2214yes—
66#2761C2214yes—
67#2756C2214yes—
68#2754C2214yes—
69#2753C2214yes—
70#2750C2214yes—
71#2737C2214yes—
72#2714C2214yes—
73#2714C2214yes—
74#2712C2214yes—
75#2710C2214yes—
76#2709C2214yes—
77#2703C2214yes—
78#2702C2214yes—
79#2702C2214yes—
80#2701C2214yes—
81#2699C2214yes—
82#2688C2214yes—
83#2686C2214yes—
84#2681C2214yes—
85#2676C2214yes—
86#2676C2214yes—
87#2673C2214yes—
88#2662C2214yes—
89#2661C2214yes—
90#2660C2212yes—
91#2652C2214yes—
92#2651C2214yes—
93#2649C2214yes—
94#2648C2214yes—
95#2648C2214yes—
96#2644C2212yes—
97#2641C2212yes—
98#2638C2214yes—
99#2635C2214yes—
100#2635C2214yes—
101#2630C2214yes—
102#2629C2212yes—
103#2624C2212yes—
104#2624C2212yes—
105#2624C2212yes—
106#2624C2214yes—
107#2619C2214yes—
108#2619C2212yes—
109#2619C2212yes—
110#2619C2212yes—
111#2611C2214yes—
112#2610C2214yes—
113#2602C2214yes—
114#2602C2214yes—
115#2597C2214yes—
116#2595C2214yes—
117#2595C2214yes—
118#2584C2212yes—
119#2581C2212yes—
120#2580C2212yes—
121#2578C2214yes—
122#2573C2214yes—
123#2572C2214yes—
124#2571C2211yescharacteristic
125#2571C2212yes—
126#2570C2212yes—
127#2566C2212yes—
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2562C2212yes—
131#2562C2212yes—
132#2560C2212yes—
133#2559C2214yes—
134#2559C2212yes—
135#2559C2214yes—
136#2558C2212yes—
137#2558C2214yes—
138#2557C2212yes—
139#2555C2214yes—
140#2554C2214yes—
141#2552C2211yescharacteristic
142#2548C2212yes—
143#2541C2211yescharacteristic
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2541C2212yes—
148#2537C2212yes—
149#2537C2211yescharacteristic
150#2537C2211yescharacteristic
151#2536C2212yes—
152#2535C2212yes—
153#2535C2212yes—
154#2531C2214yes—
155#2529C2214yes—
156#2513C2212yes—
157#2513C2212yes—
158#2513C2212yes—
159#2512C2212yes—
160#2512C2211yescharacteristic
161#2509C2212yes—
162#2508C2212yes—
163#2506C2211yescharacteristic
164#2500C2212yes—
165#2496C2212yes—
166#2496C2211yescharacteristic
167#2495C2212yes—
168#2495C2212yes—
169#2491C2212yes—
170#2491C2211yescharacteristic
171#2490C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2490C2212yes—
176#2485C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2476C2214yes—
180#2471C2214yes—
181#2470C2214yes—
182#2470C2214yes—
183#2468C2214yes—
184#2464C2214yes—
185#2464C2214yes—
186#2461C2214yes—
187#2456C2214yes—
188#2455C2214yes—
189#2454C2212yes—
190#2453C2212yes—
191#2452C2211yescharacteristic
192#2448C2212yes—
193#2447C2212yes—
194#2445C2212yes—
195#2445C2214yes—
196#2445C2212yes—
197#2445C2211yescharacteristic
198#2442C2212yes—
199#2441C2212yes—
200#2431C2212yes—
201#2428C2212yes—
202#2428C2211yescharacteristic
203#2428C2212yes—
204#2428C2214yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2422C2211yescharacteristic
211#2422C2212yes—
212#2420C2214yes—
213#2420C2212yes—
214#2420C2212yes—
215#2420C2212yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2398C2214yes—
226#2398C2212yes—
227#2392C2212yes—
228#2370C2212yes—
229#2369C2211yescharacteristic
230#2366C2211yescharacteristic
231#2366C2212yes—
232#2363C2214yes—
233#2363C2212yes—
234#2362C2214yes—
235#2362C2212yes—
236#2357C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242#2344C2212yes—
243#2341C2212yes—
244#2335C2212yes—
245#2335C2212yes—
246#2334C2212yes—
247#2334C2212yes—
248#2332C2214yes—
249#2330C2211yescharacteristic
250#2330C2211yescharacteristic
251#2330C2212yes—
252#2328C2212yes—
253#2326C2211yescharacteristic
254#2326C2211yescharacteristic
255#2324C2212yes—
256#2324C2212yes—
257#2324C2211yescharacteristic
258#2324C2211yescharacteristic
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2323C2212yes—
264#2323C2211yescharacteristic
265#2323C2211yescharacteristic
266#2319C2212yes—
267#2314C2212yes—
268#2314C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#127C2211yescharacteristic
273C4×#127C2212yes—
274C4×#125C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2214yes—
280C4×#121C2212yes—
281#2298C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2283C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#554—28no—
301#550—28no—
302#540—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2314yes—
311#529—28no—
312#529—48no—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C4×#41—48no—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C22×C4⋊C4C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405C22×C42C2314yes—
406C22×C42C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2312yes—
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#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#395C2314yes—
455#395C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
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#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#393C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2314yes—
560#390C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
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#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#383C2314yes—
723#383C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2412yes—
856C4⋊Q8—24no—
857C4⋊Q8—42no—
858#127—24no—
859#127—28no—
860#127—44no—
861#127—42no—
862#127—44no—
863#127—84no—
864#126—28no—
865#126—44no—
866#126—44no—
867#126—84no—
868#125—24no—
869#125—28no—
870#125—44no—
871#125—44no—
872#125—44no—
873#124—24no—
874#124—44no—
875#124—82no—
876#124—82no—
877#124—84no—
878#123—28no—
879#123—44no—
880#123—44no—
881#123—48no—
882#123—48no—
883#123—84no—
884#123—84no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—216no—
888C22⋊Q8—44no—
889C22⋊Q8—82no—
890#121—24no—
891#121—28no—
892#121—216no—
893#121—44no—
894#121—48no—
895#121—48no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—42no—
901#121—44no—
902#121—42no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—84no—
909#121—84no—
910#121—84no—
911#121—82no—
912#121—84no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—82no—
918C4×Q8#4118yes—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—82no—
940C4×D4—84no—
941C4×D4—84no—
942#117—28no—
943#117—24no—
944#117—28no—
945#117—44no—
946#117—44no—
947#117—42no—
948#117—48no—
949#117—44no—
950#117—44no—
951#117—84no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C42—24no—
1085C2×C42—28no—
1086C2×C42—48no—
1087C2×C42—44no—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2514yes—
1187C24C2512yes—
1188#41—432no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8C2×#4114yes—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—24no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—41no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—41no—
1299C22×C4—44no—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—41no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—41no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4C2×#4114yes—
1391C4⋊C4C2×#4118yes—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—41no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—41no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—44no—
1485C42—41no—
1486C42—42no—
1487C42—44no—
1488C42—42no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C42—44no—
1493C42C2×#4114yes—
1494C42C2×#4118yes—
1495C42H(5,𝔽2)14yes—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—24no—
1501C23—21no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—21no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—24no—
1525C23—24no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23C2611yescharacteristic
1532Q8—28no—
1533Q8—84no—
1534Q8—84no—
1535D4—416no—
1536D4—44no—
1537D4—48no—
1538D4—44no—
1539D4—44no—
1540D4—48no—
1541D4—84no—
1542D4—88no—
1543D4—84no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—84no—
1548D4—88no—
1549D4—164no—
1550D4—164no—
1551D4—164no—
1552D4—164no—
1553D4—164no—
1554D4—164no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—416no—
1635C2×C4—44no—
1636C2×C4—48no—
1637C2×C4—48no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—88no—
1641C2×C4—82no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—84no—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4114yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×H(5,𝔽2)12yes—
1656C2×C4#58512yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—41no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—41no—
1684C22—44no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—44no—
1693C22—42no—
1694C22C23×#4111yescharacteristic
1695C22C22×H(5,𝔽2)11yescharacteristic
1696C22C2×#58511yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22C2×#58511yescharacteristic
1699C22H(7,𝔽2)11yescharacteristic
1700C22H(7,𝔽2)11yescharacteristic
1701C4—24no—
1702C4—22no—
1703C4—22no—
1704C4—24no—
1705C4—22no—
1706C4—41no—
1707C4—42no—
1708C4—41no—
1709C4—44no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—44no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—44no—
1729C4#346014yes—
1730C4#352414yes—
1731C2—81no—
1732C2—82no—
1733C2—82no—
1734C2—82no—
1735C2—84no—
1736C2C2×#346011yescharacteristic
1737C2C2×#352411yescharacteristic
1738C2#6285811yescharacteristic
1739C2#6293011yescharacteristic
1740C2#6293711yescharacteristic
1741C2#6295511yescharacteristic
1742C2#6296911yescharacteristic
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. #42906C2semidirect
2. #42893C2semidirect
3. #42625C2semidirect
4. #42584C2semidirect
5. #41337C2semidirect
6. #41250C2semidirect
7. #39818C2semidirect
8. #39754C2semidirect
9. #39735C2semidirect
10. #39507C2semidirect
11. #39479C2semidirect
12. #39270C2semidirect
13. #39201C2semidirect
14. #39169C2semidirect
15. #39138C2semidirect
16. #39126C2semidirect
17. #37987C2semidirect
18. #37954C2semidirect
19. #37626C2semidirect
20. #37591C2semidirect
21. #37228C2semidirect
22. #37222C2semidirect
23. #35588C2semidirect
24. #35567C2semidirect
25. #35288C2semidirect
26. #35218C2semidirect
27. #35215C2semidirect
28. #35210C2semidirect
29. #35171C2semidirect
30. #35156C2semidirect
31. #34943C2semidirect
32. #34914C2semidirect
33. #34317C2semidirect
34. C4×#550C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#429062
#428932
#426252
#425842
#413372
#412502
#398182
#397542
#397352
#395072
#394792
#392702
#392012
#391692
#391382
#391262
#379872
#379542
#376262
#375912
#372282
#372222
#355882
#355672
#352882
#352182
#352152
#352102
#351712
#351562
#349432
#349142
#343172
C4×#5502
#340842